\input texinfo latex2e.info October 2018 https://puszcza.gnu.org.ua/software/latexrefman latexrefman@@tug.org thenelse\else\@c &latex;2e unofficial reference manual (October 2018) This document is an unofficial reference manual for &latex;, a document preparation system, version of October 2018. This manual was originally translated from LATEX.HLP v1.0a in the VMS Help Library. The pre-translation version was written by George D. Greenwade of Sam Houston State University. The &latex; 2.09 version was written by Stephen Gilmore. The &latex;2e version was adapted from this by Torsten Martinsen. Karl Berry made further updates and additions, and gratefully acknowledges using Hypertext Help with &latex;, by Sheldon Green, and &latex; Command Summary (for &latex; 2.09) by L. Botway and C. Biemesderfer (published by the &tex; Users Group as &tex;niques number 10), as reference material. We also gratefully acknowledge additional material appearing in latex2e-reference by Martin Herbert Dietze. (From these references no text was directly copied.) Copyright 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018 Karl Berry.&linebreak; Copyright 1988, 1994, 2007 Stephen Gilmore.&linebreak; Copyright 1994, 1995, 1996 Torsten Martinsen. Permission is granted to make and distribute verbatim copies of this manual provided the copyright notice and this permission notice are preserved on all copies. Permission is granted to process this file through TeX and print the results, provided the printed document carries copying permission notice identical to this one except for the removal of this paragraph (this paragraph not being relevant to the printed manual). Permission is granted to copy and distribute modified versions of this manual under the conditions for verbatim copying, provided that the entire resulting derived work is distributed under the terms of a permission notice identical to this one. Permission is granted to copy and distribute translations of this manual into another language, under the above conditions for modified versions. TeX LaTeX2e(latex2e)
Unofficial LaTeX reference manual.
&latex;2e: An unofficial reference manual October 2018 https://puszcza.gnu.org.ua/software/latexrefman 0pt plus 1filll utf8math@U{\utf8\} utf8math@U{\utf8\} env@findex @r{environment}, @code{\env\} @findex @code{\env\} @r{environment} pkg@cindex @r{package}, @code{\pkg\} @cindex @code{\pkg\} @r{package} Not available in plain @TeX{}. @value{NotInPlainTeX} In @LaTeX{} you need to load the @file{amssymb} package. @value{NotInPlainTeX} In @LaTeX{} you need to load the @file{stix} package. TopAbout this document(dir) &latex;2e: An unofficial reference manual This document is an unofficial reference manual (version of October 2018) for &latex;2e, a document preparation system. About this document
Bug reporting, etc.
Overview
What is &latex;?
Document classes
Some of the various classes available.
Fonts
Italic, bold, typewriter, etc.
Layout
Controlling the page layout.
Sectioning
Parts, Chapters, Sections, etc.
Cross references
Automatic referencing.
Environments
Such as enumerate & itemize.
Line breaking
Influencing line breaks.
Page breaking
Influencing page breaks.
Footnotes
How to produce footnotes.
Definitions
Define your own commands, etc.
Counters
Internal counters used by &latex;.
Lengths
The length commands.
Making paragraphs
Paragraph commands.
Math formulas
How to create mathematical formulas.
Modes
Paragraph, Math or LR modes.
Page styles
Various styles of page layout.
Spaces
Horizontal and vertical space.
Boxes
Making boxes.
Color
Defining and using colors.
Graphics
Importing graphics from outside &latex;.
Special insertions
Inserting reserved and special characters.
Splitting the input
Dealing with big files by splitting.
Front/back matter
Tables of contents, glossaries, indexes.
Letters
The letter class.
Terminal input/output
User interaction.
Command line
System-independent command-line behavior.
Document templates
Starter templates for various document classes.
Index
General index.
About this documentOverviewTopTop About this document home page for manual This is an unofficial reference manual for the &latex;2e document preparation system, which is a macro package for the &tex; typesetting program (Overview). This document&textrsquo;s home page is https://puszcza.gnu.org.ua/software/latexrefman. There you can get the sources, subscribe to the mailing list or read its archives, see other infrastructure, and get the current output in various formats. In particular, the output comes in two web formats. Probably the most convenient one, shown at http://latexref.xyz/, has pages for each topic and so is good for a quick lookup; see also the note there about easy-to-remember links. The other, shown at http://svn.gnu.org.ua/viewvc/latexrefman/trunk/latex2e.html?view=co, has all the information on single page. &latex; vs.&noeos; &latex;2e In this document, we will mostly just use &textlsquo;&latex;&textrsquo; rather than &textlsquo;&latex;2e&textrsquo;, since the previous version of &latex; (2.09) was frozen decades ago. unofficial nature of this manual &latex; Project team latexrefman&arobase;tug.org email address &latex; is currently maintained by a group of volunteers (http://latex-project.org). The official documentation written by the &latex; project is available from their web site. This document is completely unofficial and has not been reviewed by the &latex; maintainers. bug reporting reporting bugs Do not send bug reports or anything else about this document to them. Instead, please send all comments to latexrefman&arobase;tug.org. This document is a reference. There is a vast array of other sources of information about &latex;, at all levels. Here are a few introductions. http://ctan.org/pkg/latex-doc-ptr latex-doc-ptr document Two pages of recommended references to &latex; documentation. http://ctan.org/pkg/first-latex-doc first-latex-doc document Writing your first document, with a bit of both text and math. http://ctan.org/pkg/usrguide usrguide official documentation The guide for document authors that is maintained as part of &latex;. Many other guides by many other people are also available, independent of &latex; itself; one such is the next item: http://ctan.org/pkg/lshort lshort document A short introduction to &latex;, translated to many languages. http://tug.org/begin.html Introduction to the &tex; system, including &latex;, with further references.
OverviewDocument classesAbout this documentTop Overview of &latex; overview of &latex; basics of &latex; Knuth, Donald E. Lamport, Leslie &latex; overview &latex; is a system for typesetting documents. It was originally created by Leslie Lamport and is now maintained by a group of volunteers (http://latex-project.org). It is widely used, particularly for complex and technical documents, such as those involving mathematics. macro package, &latex; as A &latex; user writes an input file containing text along with interspersed commands, for instance commands describing how the text should be formatted. It is implemented as a set of related commands that interface with Donald E. Knuth&textrsquo;s &tex; typesetting program (the technical term is that &latex; is a macro package for the &tex; engine). The user produces the output document by giving that input file to the &tex; engine. The term &latex; is also sometimes used to mean the language in which the document is marked up, that is, to mean the set of commands available to a &latex; user. Lamport &tex; pronunciation The name &latex; is short for &textldquo;Lamport &tex;&textrdquo;. It is pronounced LAH-teck or LAY-teck, or sometimes LAY-tecks. Inside a document, produce the logo with \LaTeX. Where use of the logo is not sensible, such as in plain text, write it as LaTeX. Starting and ending
The standard beginning and end of a document.
Output files
Files produced.
&tex; engines
Programs that can compile &tex; and  &latex;.
&latex; command syntax
General syntax of &latex; commands.
Environment
Area of the source giving distinct behavior.
CTAN
Our repository.
Starting and endingOutput filesOverview
Starting and ending Starting & ending starting and ending ending and starting hello, world &latex; files have a simple global structure, with a standard beginning and ending. This is a small example.
\documentclass{article}
\begin{document}
Hello, \LaTeX\ world.
\end{document}
Every &latex; document has a \begin{document} line and an \end{document} line. document class, defined Here, the article is the document class. It is implemented in a file article.cls. You can use any document class on your system. A few document classes are defined by &latex; itself, and vast array of others are widely available. Document classes. preamble, defined You can include other &latex; commands between the \documentclass and the \begin{document} commands. This area is called the preamble. The \begin{document}, \end{document} pair defines an environment environment; the document environment (and no others) is required in all &latex; documents (document). &latex; make available to you many environments that are documented here (Environments). Many more are available to you from external packages, most importantly those available at CTAN (CTAN). The following sections discuss how to produce PDF or other output from a &latex; input file.
Output files&tex; enginesStarting and endingOverview
Output files &latex; produces a main output file and at least two auxiliary files. The main output file&textrsquo;s name ends in either .dvi or .pdf. .dvi .dvi file latex command xdvi command dvips command dvipdfmx command dvitype command output files dvi If &latex; is invoked with the system command latex then it produces a DeVice Independent file, with extension .dvi. You can view this file with a command such as xdvi, or convert it to a PostScript .ps file with dvips or to a Portable Document Format .pdf file with dvipdfmx. The contents of the file can be dumped in human-readable form with dvitype. A vast array of other DVI utility programs are available (http://mirror.ctan.org/dviware). .pdf .pdf file pdf&tex; pdflatex command output files pdf If &latex; is invoked via the system command pdflatex, among other commands (&tex; engines), then the main output is a Portable Document Format (PDF) file. Typically this is a self-contained file, with all fonts and images included.
&latex; also produces at least two additional files. .log transcript file log file .log file output files log This transcript file contains summary information such as a list of loaded packages. It also includes diagnostic messages and perhaps additional information for any errors. .aux auxiliary file .aux file cross references, resolving forward references, resolving references, resolving forward output files aux Auxiliary information is used by &latex; for things such as cross references. For example, the first time that &latex; finds a forward reference&textmdash;a cross reference to something that has not yet appeared in the source&textmdash;it will appear in the output as a doubled question mark ??. When the referred-to spot does eventually appear in the source then &latex; writes its location information to this .aux file. On the next invocation, &latex; reads the location information from this file and uses it to resolve the reference, replacing the double question mark with the remembered location.
.lof file list of figures file .lot file list of tables file .toc file table of contents file contents file &latex; may produce yet more files, characterized by the filename ending. These include a .lof file that is used to make a list of figures, a .lot file used to make a list of tables, and a .toc file used to make a table of contents (Table of contents etc.). A particular class may create others; the list is open-ended.
&tex; engines&latex; command syntaxOutput filesOverview
&tex; engines engines, &tex; implementations of &tex; UTF-8 Unicode input, native TrueType fonts OpenType fonts &latex; is defined to be a set of commands that are run by a &tex; implementation (Overview). This section gives a terse overview of the main programs (see also Command line). latex pdflatex pdf&tex; engine etex command e-&tex; tex engines latex In &tex; Live (http://tug.org/texlive), if &latex; is invoked via either the system command latex or pdflatex, then the pdf&tex; engine is run (http://ctan.org/pkg/pdftex). When invoked as latex, the main output is a .dvi file; as pdflatex, the main output is a .pdf file. pdf&tex; incorporates the e-&tex; extensions to Knuth&textrsquo;s original program (http://ctan.org/pkg/etex), including additional programming features and bi-directional typesetting, and has plenty of extensions of its own. e-&tex; is available on its own as the system command etex, but this is plain &tex; (and produces .dvi). In other &tex; distributions, latex may invoke e-&tex; rather than pdf&tex;. In any case, the e-&tex; extensions can be assumed to be available in &latex;. lualatex lualatex command Lua&tex; tex engines lualatex If &latex; is invoked via the system command lualatex, the Lua&tex; engine is run (http://ctan.org/pkg/luatex). This program allows code written in the scripting language Lua (http://luatex.org) to interact with &tex;&textrsquo;s typesetting. Lua&tex; handles UTF-8 Unicode input natively, can handle OpenType and TrueType fonts, and produces a .pdf file by default. There is also dvilualatex to produce a .dvi file, but this is rarely used. xelatex xelatex command Xe&tex; .xdv file xdvipdfmx tex engines xelatex If &latex; is invoked with the system command xelatex, the Xe&tex; engine is run (http://tug.org/xetex). Like Lua&tex;, Xe&tex; natively supports UTF-8 Unicode and TrueType and OpenType fonts, though the implementation is completely different, mainly using external libraries instead of internal code. Xe&tex; produces a .pdf file as output; it does not support DVI output. Internally, Xe&tex; creates an .xdv file, a variant of DVI, and translates that to PDF using the (x)dvipdfmx program, but this process is automatic. The .xdv file is only useful for debugging.
Other variants of &latex; and &tex; exist, e.g., to provide additional support for Japanese and other languages ([u]p&tex;, http://ctan.org/pkg/ptex, http://ctan.org/pkg/uptex).
&latex; command syntaxEnvironment&tex; enginesOverview
&latex; command syntax command syntax \ character starting commands [...] for optional arguments {...} for required arguments In the &latex; input file, a command name starts with a backslash character, \. The name itself then consists of either (a) a string of letters or (b) a single non-letter. &latex; commands names are case sensitive so that \pagebreak differs from \Pagebreak (the latter is not a standard command). Most commands are lowercase, but in any event you must enter all commands in the same case as they are defined. A command may be followed by zero, one, or more arguments. These arguments may be either required or optional. Required arguments are contained in curly braces, {...}. Optional arguments are contained in square brackets, [...]. Generally, but not universally, if the command accepts an optional argument, it comes first, before any required arguments. Inside of an optional argument, to use the character close square bracket (]) hide it inside curly braces, as in \item[closing bracket {]}]. Similarly, if an optional argument comes last, with no required argument after it, then to make the first character of the following text be an open square bracket, hide it inside curly braces. Some of &latex;&textrsquo;s commands are a declaration. Such a command changes the value the meaning of some other command or parameter. For instance, the \mainmatter declaration changes the typesetting of page numbers from roman numerals to arabic (\frontmatter & \mainmatter & \backmatter). &latex; has the convention that some commands have a * form that is related to the form without a *, such as \chapter and \chapter*. The exact difference in behavior varies from command to command. This manual describes all accepted options and *-forms for the commands it covers (barring unintentional omissions, a.k.a.&noeos; bugs).
EnvironmentCTAN&latex; command syntaxOverview
Environment Synopsis:
\begin{environment name}
  ...
\end{environment name}
An area of &latex; source, inside of which there is a distinct behavior. For instance, for poetry in &latex; put the lines between \begin{verse} and \end{verse}.
\begin{verse}
  There once was a man from Nantucket \\
  ...
\end{verse}
Environments for a list of environments. Particularly notable is that every &latex; document must have a document environment, a \begin{document} ... \end{document} pair. The environment name at the beginning must exactly match that at the end. This includes the case where environment name ends in a star (*); both the \begin and \end texts must include the star. Environments may have arguments, including optional arguments. This example produces a table. The first argument is optional (and causes the table to be aligned on its top row) while the second argument is required (it specifies the formatting of columns).
\begin{tabular}[t]{r|l}
  ... rows of table ...
\end{tabular}
CTANEnvironmentOverview
CTAN: the Comprehensive &tex; Archive Network CTAN The Comprehensive &tex; Archive Network, CTAN, is the &tex; and &latex; community&textrsquo;s repository of free material. It is a set of Internet sites around the world that offer material related to &latex; for download. Visit CTAN on the web at https://ctan.org. This material is organized into packages, discrete bundles that typically offer some coherent functionality and are maintained by one person or a small number of people. For instance, many publishers have a package that allows authors to format papers to that publisher&textrsquo;s specifications. In addition to the massive holdings, the web site offers features such as search by name or by functionality. DANTE e.V. mirrors of CTAN CTAN is not a single site, but instead is a set of sites. One of the sites is the core. This site actively manages the material, for instance, by accepting uploads of new or updated packages. It is hosted by the German &tex; group DANTE e.V. Other sites around the world help out by mirroring, that is, automatically syncing their collections with the core site and then in turn making their copies publicly available. This gives users close to their location better access and relieves the load on the core site. The list of mirrors is at https://ctan.org/mirrors.
Document classesFontsOverviewTop Document classes document classes classes of documents \documentclass The document&textrsquo;s overall class is defined with this command, which is normally the first command in a &latex; source file.
\documentclass[options]{class}
article class report class book class letter class slides class The following document class names are built into &latex;. (Many other document classes are available as separate packages; Overview.) article document classes article For a journal article, a presentation, and miscellaneous general use. book document classes book Full-length books, including chapters and possibly including front matter, such as a preface, and back matter, such as an appendix (Front/back matter). letter document classes letter Mail, optionally including mailing labels (Letters). report document classes report For documents of length between an article and a book, such as technical reports or theses, which may contain several chapters. slides document classes slides For slide presentations&textmdash;rarely used today. In its place the beamer package is perhaps the most prevalent (beamer template).
Standard options are described in the next section. Document class options
Global options.
Additional packages
Bring in packages.
Class and package construction
Create new classes and packages.
Document class optionsAdditional packagesDocument classes
Document class options document class options options, document class class options global options You can specify global options or class options to the \documentclass command by enclosing them in square brackets. To specify more than one option, separate them with a comma.
\documentclass[option1,option2,...]{class}
Here is the list of the standard class options. 10pt option 11pt option 12pt option All of the standard classes except slides accept the following options for selecting the typeface size (default is 10pt):
10pt  11pt  12pt
a4paper option a5paper option b5paper option executivepaper option legalpaper option letterpaper option All of the standard classes accept these options for selecting the paper size (these show height by width): a4paper 210 by 297mm (about 8.25 by 11.75 inches) a5paper 148 by 210mm (about 5.8 by 8.3 inches) b5paper 176 by 250mm (about 6.9 by 9.8 inches) executivepaper 7.25 by 10.5 inches legalpaper 8.5 by 14 inches letterpaper 8.5 by 11 inches (the default)
\pdfpagewidth \pdfpageheight package, geometry geometry package When using one of the engines pdf&latex;, Lua&latex;, or Xe&latex; (&tex; engines), options other than letterpaper set the print area but you must also set the physical paper size. One way to do that is to put \pdfpagewidth=\paperwidth and \pdfpageheight=\paperheight in your document&textrsquo;s preamble. package, geometry geometry package The geometry package provides flexible ways of setting the print area and physical page size. draft option final option fleqn option landscape option leqno option openbib option titlepage option notitlepage option Miscellaneous other options: draft final black boxes, omitting Mark (draft) or do not mark (final) overfull boxes with a black box in the margin; default is final. fleqn flush left equations centered equations equations, flush left vs.&noeos; centered Put displayed formulas flush left; default is centered. landscape landscape orientation portrait orientation Selects landscape format; default is portrait. leqno left-hand equation numbers right-hand equation numbers equation numbers, left vs.&noeos; right Put equation numbers on the left side of equations; default is the right side. openbib bibliography format, open Use &textldquo;open&textrdquo; bibliography format. titlepage notitlepage title page, separate or run-in Specifies whether there is a separate page for the title information and for the abstract also, if there is one. The default for the report class is titlepage, for the other classes it is notitlepage.
The following options are not available with the slides class. onecolumn option twocolumn option oneside option twoside option openright option openany option onecolumn twocolumn Typeset in one or two columns; default is onecolumn. oneside twoside \evensidemargin \oddsidemargin Selects one- or two-sided layout; default is oneside, except that in the book class the default is twoside. For one-sided printing, the text is centered on the page. For two-sided printing, the \evensidemargin (\oddsidemargin) parameter determines the distance on even (odd) numbered pages between the left side of the page and the text&textrsquo;s left margin, with \oddsidemargin being 40% of the difference between \paperwidth and \textwidth, and \evensidemargin is the remainder. openright openany Determines if a chapter should start on a right-hand page; default is openright for book, and openany for report.
clock option to slides class The slides class offers the option clock for printing the time at the bottom of each note.
Additional packagesClass and package constructionDocument class optionsDocument classes
Additional packages loading additional packages packages, loading additional additional packages, loading \usepackage Load a package pkg, with the package options given in the comma-separated list options, as here.
\usepackage[options]{pkg}.
To specify more than one package you can separate them with a comma, as in \usepackage{pkg1,pkg2,...}, or use multiple \usepackage commands. global options options, global Any options given in the \documentclass command that are unknown to the selected document class are passed on to the packages loaded with \usepackage.
Class and package constructionAdditional packagesDocument classes
Class and package construction document class commands commands, document class new class commands You can create new document classes and new packages. For instance, if your memos must satisfy some local requirements, such as a standard header for each page, then you could create a new class smcmemo.cls and begin your documents with \documentclass{smcmemo}. What separates a package from a document class is that the commands in a package are useful across classes while those in a document class are specific to that class. Thus, a command to set page headers is for a package while a command to make the page headers say Memo from the SMC Math Department is for a class. class and package difference difference between class and package Inside of a class or package file you can use the at-sign &arobase; as a character in command names without having to surround the code containing that command with \makeatletter and \makeatother. \makeatletter & \makeatother. This allow you to create commands that users will not accidentally redefine. Another technique is to preface class- or package-specific commands with some string to prevent your class or package from interfering with others. For instance, the class smcmemo might have commands \smc&arobase;tolist, \smc&arobase;fromlist, etc. Class and package structure
Layout of the file.
Class and package commands
List of commands.
Class and package structureClass and package commandsClass and package construction Class and package structure class and package structure class file layout package file layout options, document class options, package class options package options A class file or package file typically has four parts. In the identification part, the file says that it is a &latex; package or class and describes itself, using the \NeedsTeXFormat and \ProvidesClass or \ProvidesPackage commands. The preliminary declarations part declares some commands and can also load other files. Usually these commands will be those needed for the code used in the next part. For example, an smcmemo class might be called with an option to read in a file with a list of people for the to-head, as \documentclass[mathto]{smcmemo}, and therefore needs to define a command \newcommand{\setto}[1]{\def\&arobase;tolist{#1}} used in that file. In the handle options part the class or package declares and processes its options. Class options allow a user to start their document as \documentclass[option list]{class name}, to modify the behavior of the class. An example is when you declare \documentclass[11pt]{article} to set the default document font size. Finally, in the more declarations part the class or package usually does most of its work: declaring new variables, commands and fonts, and loading other files. Here is a starting class file, which should be saved as stub.cls where &latex; can find it, for example in the same directory as the .tex file.
\NeedsTeXFormat{LaTeX2e}
\ProvidesClass{stub}[2017/07/06 stub to start building classes from]
\DeclareOption*{\PassOptionsToClass{\CurrentOption}{article}}
\ProcessOptions\relax
\LoadClass{article}
class file example It identifies itself, handles the class options via the default of passing them all to the article class, and then loads the article class to provide the basis for this class&textrsquo;s code. For more, see the official guide for class and package writers, the Class Guide, at http://www.latex-project.org/help/documentation/clsguide.pdf (much of the descriptions here derive from this document), or the tutorial https://www.tug.org/TUGboat/tb26-3/tb84heff.pdf.
Class and package commandsClass and package structureClass and package construction Class and package commands class and package commands commands, class and package These are the commands designed to help writers of classes or packages. \AtBeginDvi{specials} \AtBeginDvi Save in a box register things that are written to the .dvi file at the beginning of the shipout of the first page of the document. \AtEndOfClass{code} \AtEndOfPackage{code} \AtEndOfClass \AtEndOfPackage Hook to insert code to be executed when &latex; finishes processing the current class or package. You can use these hooks multiple times; the code will be executed in the order that you called it. See also \AtBeginDocument. \CheckCommand{cmd}[num][default]{definition} \CheckCommand*{cmd}[num][default]{definition} \CheckCommand \CheckCommand* new command, check Like \newcommand (\newcommand & \renewcommand) but does not define cmd; instead it checks that the current definition of cmd is exactly as given by definition and is or is not long command long as expected. A long command is a command that accepts \par within an argument. The cmd command is expected to be long with the unstarred version of \CheckCommand. Raises an error when the check fails. This allows you to check before you start redefining cmd yourself that no other package has already redefined this command. \ClassError{class name}{error text}{help text} \PackageError{package name}{error text}{help text} \ClassWarning{class name}{warning text} \PackageWarning{package name}{warning text} \ClassWarningNoLine{class name}{warning text} \PackageWarningNoLine{package name}{warning text} \ClassInfo{class name}{info text} \PackageInfo{package name}{info text} \ClassInfoNoLine{class name}{info text} \PackageInfoNoLine{package name}{info text} \ClassError \PackageError \ClassWarning \PackageWarning \ClassWarningNoLine \PackageWarningNoLine \ClassInfo \PackageInfo \ClassInfoNoLine \PackageInfoNoLine Produce an error message, or warning or informational messages. For \ClassError and \PackageError the message is error text, followed by &tex;&textrsquo;s ? error prompt. If the user then asks for help by typing h, they see the help text. The four warning commands are similar except that they write warning text on the screen with no error prompt. The four info commands write info text only in the transcript file. The NoLine versions do not show the number of the line generating the message, while the other versions do show that number. To format the messages, including the help text: use \protect to stop a command from expanding, get a line break with \MessageBreak, and get a space with \space when a space character does not allow it, like after a command. Note that &latex; appends a period to the messages. \CurrentOption \CurrentOption Expands to the name of the currently-being-processed option. Can only be used within the code argument of either \DeclareOption or \DeclareOption*. \DeclareOption{option}{code} \DeclareOption*{code} \DeclareOption \DeclareOption* class options package options options, class options, package Make an option available to a user to invoke in their \documentclass command. For example, the smcmemo class could have an option \documentclass[logo]{smcmemo} allowing users to put the institutional logo on the first page. The class file must contain \DeclareOption{logo}{code} (and later, \ProcessOptions). If you request an option that has not been declared, by default this will produce a warning like Unused global option(s): [badoption]. Change this behaviour with the starred version \DeclareOption*{code}. For example, many classes extend an existing class, using a declaration such as \LoadClass{article}, and for passing extra options to the underlying class use code such as this.
\DeclareOption*{%
\PassOptionsToClass{\CurrentOption}{article}%
}
Another example is that the class smcmemo may allow users to keep lists of memo recipients in external files. Then the user could invoke \documentclass[math]{smcmemo} and it will read the file math.memo. This code handles the file if it exists and otherwise passes the option to the article class.
\DeclareOption*{\InputIfFileExists{\CurrentOption.memo}{}{%
    \PassOptionsToClass{\CurrentOption}{article}}}
\DeclareRobustCommand{cmd}[num][default]{definition} \DeclareRobustCommand*{cmd}[num][default]{definition} \DeclareRobustCommand \DeclareRobustCommand* new command, definition Like \newcommand and \newcommand* (\newcommand & \renewcommand) but these declare a robust command, even if some code within the definition is fragile. (For a discussion of robust and fragile commands \protect.) Use this command to define new robust commands or to redefine existing commands and make them robust. Unlike \newcommand these do not give an error if macro cmd already exists; instead, a log message is put into the transcript file if a command is redefined. Commands defined this way are a bit less efficient than those defined using \newcommand so unless the command&textrsquo;s data is fragile and the command is used within a moving argument, use \newcommand. package, etoolbox etoolbox package The etoolbox package offers the commands \newrobustcmd, \newrobustcmd*, as well as the commands \renewrobustcmd, \renewrobustcmd*, and the commands \providerobustcmd, and \providerobustcmd*. These are similar to \newcommand, \newcommand*, \renewcommand, \renewcommand*, \providecommand, and \providecommand*, but define a robust cmd with two advantages as compared to \DeclareRobustCommand: They use the low-level e-&tex; protection mechanism rather than the higher level &latex; \protect mechanism, so they do not incur the slight loss of performance mentioned above, and They make the same distinction between \new&dots;, \renew&dots;, and \provide&dots;, as the standard commands, so they do not just make a log message when you redefine cmd that already exists, in that case you need to use either \renew&dots; or \provide&dots; or you get an error. \IfFileExists{file name}{true code}{false code} \InputIfFileExists{file name}{true code}{false code} \IfFileExists \InputIfFileExists Execute true code if &latex; finds the file file name or false code otherwise. In the first case it executing true code and then inputs the file. Thus the command
\IfFileExists{img.pdf}{%
  \includegraphics{img.pdf}}{\typeout{!! img.pdf not found}
will include the graphic img.pdf if it is found and otherwise give a warning. This command looks for the file in all search paths that &latex; uses, not only in the current directory. To look only in the current directory do something like \IfFileExists{./filename}{true code}{false code}. If you ask for a filename without a .tex extension then &latex; will first look for the file by appending the .tex; for more on how &latex; handles file extensions see \input.
\LoadClass[options list]{class name}[release date] \LoadClassWithOptions{class name}[release date] \LoadClass \LoadClassWithOptions Load a class, as with \documentclass[options list]{class name}[release info]. An example is \LoadClass[twoside]{article}. The options list, if present, is a comma-separated list. The release date is optional. If present it must have the form YYYY/MM/DD. If you request a release date and the date of the package installed on your system is earlier, then you get a warning on the screen and in the log like this.
You have requested, on input line 4, version `2038/01/19' of
document class article, but only version `2014/09/29 v1.4h
Standard LaTeX document class' is available.
The command version \LoadClassWithOptions uses the list of options for the current class. This means it ignores any options passed to it via \PassOptionsToClass. This is a convenience command that lets you build classes on existing ones, such as the standard article class, without having to track which options were passed.
\ExecuteOptions{options-list} \ExecuteOptions For each option option in the options-list, in order, this command executes the command \ds&arobase;option. If this command is not defined then that option is silently ignored. It can be used to provide a default option list before \ProcessOptions. For example, if in a class file you want the default to be 11pt fonts then you could specify \ExecuteOptions{11pt}\ProcessOptions\relax. \NeedsTeXFormat{format}[format date] \NeedsTeXFormat Specifies the format that this class must be run under. Often issued as the first line of a class file, and most often used as: \NeedsTeXFormat{LaTeX2e}. When a document using that class is processed, the format name given here must match the format that is actually being run (including that the format string is case sensitive). If it does not match then execution stops with an error like This file needs format `LaTeX2e' but this is `xxx'. To specify a version of the format that you know to have certain features, include the optional format date on which those features were implemented. If present it must be in the form YYYY/MM/DD. If the format version installed on your system is earlier than format date then you get a warning like this.
You have requested release `2038/01/20' of LaTeX, but only
release `2016/02/01' is available.
\OptionNotUsed \OptionNotUsed Adds the current option to the list of unused options. Can only be used within the code argument of either \DeclareOption or \DeclareOption*. \PassOptionsToClass{option list}{class name} \PassOptionsToPackage{option list}{package name} \PassOptionsToClass \PassOptionsToPackage Adds the options in the comma-separated list option list to the options used by any future \RequirePackage or \usepackage command for package package name or the class class name. The reason for these commands is: you may load a package any number of times with no options but if you want options then you may only supply them when you first load the package. Loading a package with options more than once will get you an error like Option clash for package foo. (&latex; throws an error even if there is no conflict between the options.) If your own code is bringing in a package twice then you can collapse that to once, for example replacing the two \RequirePackage[landscape]{geometry} and \RequirePackage[margins=1in]{geometry} with the single command \RequirePackage[landscape,margins=1in]{geometry}. However, imagine that you are loading firstpkg and inside that package it loads secondpkg, and you need the second package to be loaded with option draft. Then before doing the first package you must queue up the options for the second package, like this.
\PassOptionsToPackage{draft}{secondpkg}
\RequirePackage{firstpkg}
(If firstpkg.sty loads an option in conflict with what you want then you may have to alter its source.) These commands are useful for general users as well as class and package writers. For instance, suppose a user wants to load the graphicx package with the option draft and also wants to use a class foo that loads the graphicx package, but without that option. The user could start their &latex; file with \PassOptionsToPackage{draft}{graphicx}\documentclass{foo}.
\ProcessOptions \ProcessOptions*\&arobase;options \ProcessOptions \ProcessOptions* Execute the code for each option that the user has invoked. Include it in the class file as \ProcessOptions\relax (because of the existence of the starred command). Options come in two types. Local options have been specified for this particular package in the options argument of \PassOptionsToPackage{options}, \usepackage[options], or \RequirePackage[options]. Global options are those given by the class user in \documentclass[options] (If an option is specified both locally and globally then it is local.) When \ProcessOptions is called for a package pkg.sty, the following happens: For each option option so far declared with \DeclareOption, it looks to see if that option is either a global or a local option for pkg. If so then it executes the declared code. This is done in the order in which these options were given in pkg.sty. For each remaining local option, it executes the command \ds&arobase;option if it has been defined somewhere (other than by a \DeclareOption); otherwise, it executes the default option code given in \DeclareOption*. If no default option code has been declared then it gives an error message. This is done in the order in which these options were specified. When \ProcessOptions is called for a class it works in the same way except that all options are local, and the default code for \DeclareOption* is \OptionNotUsed rather than an error. The starred version \ProcessOptions* executes the options in the order specified in the calling commands, rather than in the order of declaration in the class or package. For a package this means that the global options are processed first. \ProvidesClass{class name}[release date brief additional information] \ProvidesClass{class name}[release date] \ProvidesPackage{package name}[release date brief additional information] \ProvidesPackage{package name}[release date] \ProvidesClass \ProvidesPackage Identifies the class or package, printing a message to the screen and the log file. When you load a class or package, for example with \documentclass{smcmemo} or \usepackage{test}, &latex; inputs a file. If the name of the file does not match the class or package name declared in it then you get a warning. Thus, if you invoke \documentclass{smcmemo}, and the file smcmemo.cls has the statement \ProvidesClass{xxx} then you get a warning like You have requested document class `smcmemo', but the document class provides 'xxx'. This warning does not prevent &latex; from processing the rest of the class file normally. If you include the optional argument then you must include a date, before any spaces, of the form YYYY/MM/DD. The rest of the optional argument is free-form, although it traditionally identifies the class, and is written to the screen during compilation and to the log file. Thus, if your file smcmemo.cls contains the line \ProvidesClass{smcmemo}[2008/06/01 v1.0 SMC memo class] and your document&textrsquo;s first line is \documentclass{smcmemo} then you will see Document Class: smcmemo 2008/06/01 v1.0 SMC memo class. The date in the optional argument allows class and package users to ask to be warned if the version of the class or package is earlier than release date. For instance, a user could enter \documentclass{smcmemo}[2018/10/12] or \usepackage{foo}[[2017/07/07]] to require a class or package with certain features by specifying that it must be released no earlier than the given date. (Although, in practice package users only rarely include a date, and class users almost never do.) \ProvidesFile{file name}[additional information] \ProvidesFile Declare a file other than the main class and package files, such as configuration files or font definition files. Put this command in that file and you get in the log a string like File: test.config 2017/10/12 config file for test.cls for file name equal to test.config and additional information equal to 2017/10/12 config file for test.cls. \RequirePackage[option list]{package name}[release date] \RequirePackageWithOptions{package name}[release date] \RequirePackage \RequirePackageWithOptions Load a package, like the command \usepackage (Additional packages). The &latex; development team strongly recommends use of these commands over Plain &tex;&textrsquo;s \input; see the Class Guide. An example is \RequirePackage[landscape,margin=1in]{geometry}. The option list, if present, is a comma-separated list. The release date, if present, must have the form YYYY/MM/DD. If the release date of the package as installed on your system is earlier than release date then you get a warning like You have requested, on input line 9, version `2017/07/03' of package jhtest, but only version `2000/01/01' is available. The \RequirePackageWithOptions version uses the list of options for the current class. This means it ignores any options passed to it via \PassOptionsToClass. This is a convenience command to allow easily building classes on existing ones without having to track which options were passed. The difference between \usepackage and \RequirePackage is small. The \usepackage command is intended for the document file while \RequirePackage is intended for package and class files. Thus, using \usepackage before the \documentclass command causes &latex; to give error like \usepackage before \documentclass, but you can use \RequirePackage there.
FontsLayoutDocument classesTop Fonts Typefaces typefaces fonts Two important aspects of selecting a font are specifying a size and a style. The &latex; commands for doing this are described here. Font styles
Select roman, italics, etc.
Font sizes
Select point size.
Low-level font commands
Select encoding, family, series, shape.
Font stylesFont sizesFonts
Font styles font styles type styles styles of text The following type style commands are supported by &latex;. In the table below the listed commands, the \text... commands, is used with an argument, as in \textit{text}. This is the preferred form. But shown after it, in parenthesis, is the corresponding declaration form, which is sometimes useful. This form takes no arguments, as in {\itshape text}. The scope of the declaration form lasts until the next type style command or the end of the current group. In addition, each has an environment form such as \begin{itshape}...\end{itshape}. These commands, in both the argument form and the declaration form, are cumulative; for instance you can get bold sans serif by saying either of \sffamily\bfseries or \bfseries\sffamily. \nocorrlist \nocorr One advantage of these commands is that they automatically insert italic corrections if needed (\/). Specifically, they insert the italic correction unless the following character is in the list \nocorrlist, which by default consists of a period and a comma. To suppress the automatic insertion of italic correction, use \nocorr at the start or end of the command argument, such as \textit{\nocorr text} or \textsc{text \nocorr}. \textrm (\rmfamily) \textrm \rmfamily Roman. \textit (\itshape) \textit \itshape Italics. \textmd (\mdseries) \textmd \mdseries Medium weight (default). \textbf (\bfseries) \textbf \bfseries Boldface. \textup (\upshape) \textup \upshape Upright (default). \textsl (\slshape) \textsl \slshape Slanted. \textsf (\sffamily) \textsf \sffamily Sans serif. \textsc (\scshape) \textsc \scshape Small caps. \texttt (\ttfamily) \texttt \ttfamily Typewriter. \textnormal (\normalfont) \textnormal \normalfont Main document font.
emphasis \emph Although it also changes fonts, the \emph{text} command is semantic, for text to be emphasized, and should not be used as a substitute for \textit. For example, \emph{start text \emph{middle text} end text} will result in the start text and end text in italics, but middle text will be in roman. &latex; also provides the following commands, which unconditionally switch to the given style, that is, are not cumulative. They are used as declarations: {\cmd...} instead of \cmd{...}. (The unconditional commands below are an older version of font switching. The earlier commands are an improvement in most circumstances. But sometimes an unconditional font switch is precisely what you want.) \bf\bf bold font Switch to bold face. \cal\cal script letters for math calligraphic letters for math Switch to calligraphic letters for math. \it\it italic font Italics. \rm\rm roman font Roman. \sc\sc small caps font Small caps. \sf\sf sans serif font Sans serif. \sl\sl slanted font oblique font Slanted (oblique). \tt\tt typewriter font monospace font fixed-width font Typewriter (monospace, fixed-width). The \em command is the unconditional version of \emph. The following commands are for use in math mode. They are not cumulative, so \mathbf{\mathit{symbol}} does not create a boldface and italic symbol; instead, it will just be in italics. This is because typically math symbols need consistent typographic treatment, regardless of the surrounding environment. \mathrm \mathrm Roman, for use in math mode. \mathbf \mathbf Boldface, for use in math mode. \mathsf \mathsf Sans serif, for use in math mode. \mathtt \mathtt Typewriter, for use in math mode. \mathit (\mit) Italics, for use in math mode. \mathnormal \mathnormal For use in math mode, e.g., inside another type style declaration. \mathcal \mathcal Calligraphic letters, for use in math mode.
\mathversion math, bold bold math In addition, the command \mathversion{bold} can be used for switching to bold letters and symbols in formulas. \mathversion{normal} restores the default. \oldstylenums numerals, old-style old-style numerals lining numerals package, textcomp textcomp package Finally, the command \oldstylenums{numerals} will typeset so-called &textldquo;old-style&textrdquo; numerals, which have differing heights and depths (and sometimes widths) from the standard &textldquo;lining&textrdquo; numerals, which all have the same height as uppercase letters. &latex;&textrsquo;s default fonts support this, and will respect \textbf (but not other styles; there are no italic old-style numerals in Computer Modern). Many other fonts have old-style numerals also; sometimes the textcomp package must be loaded, and sometimes package options are provided to make them the default. FAQ entry: http://www.tex.ac.uk/cgi-bin/texfaq2html?label=osf.
Font sizesLow-level font commandsFont stylesFonts
Font sizes font sizes typeface sizes sizes of text The following standard type size commands are supported by &latex;. The table shows the command name and the corresponding actual font size used (in points) with the 10pt, 11pt, and 12pt document size options, respectively (Document class options). \tiny \scriptsize \footnotesize \small \normalsize \large \Large \LARGE \huge \Huge \normalsize (default) 24.88 24.88 24.88 Command 10pt 11pt 12pt \tiny 5 6 6 \scriptsize 7 8 8 \footnotesize 8 9 10 \small 9 10 10.95 \normalsize (default) 10 10.95 12 \large 12 12 14.4 \Large 14.4 14.4 17.28 \LARGE 17.28 17.28 20.74 \huge 20.74 20.74 24.88 \Huge 24.88 24.88 24.88 The commands are listed here in declaration forms. You use them by declaring them, as with this example.
\begin{quotation} \small
  The Tao that can be named is not the eternal Tao.
\end{quotation}
The scope of the \small lasts until the end of the quotation environment. It would also end at the next type style command or the end of the current group, so you could enclose it in extra curly braces {\small We are here, we are here, we are here!}. You can instead use the environment form of these commands; for instance, \begin{tiny}...\end{tiny}.
Low-level font commandsFont sizesFonts
Low-level font commands low-level font commands font commands, low-level These commands are primarily intended for writers of macros and packages. The commands listed here are only a subset of the available ones. low level font commands fontencoding \fontencoding{encoding} \fontencoding Select the font encoding, the encoding of the output font. There are a large number of valid encodings. The most common are OT1, Knuth&textrsquo;s original encoding for Computer Modern (the default), and T1, also known as the Cork encoding, which has support for the accented characters used by the most widespread European languages (German, French, Italian, Polish and others), which allows &tex; to hyphenate words containing accented letters. For more, see https://ctan.org/pkg/encguide. low level font commands fontfamily \fontfamily{family} \fontfamily families, of fonts font catalogue Select the font family. The web page http://www.tug.dk/FontCatalogue/ provides one way to browse through many of the fonts easily used with &latex;. Here are examples of some common families. font Computer Modern Typewriter more space pag Avant Garde fvs Bitstream Vera Sans pbk Bookman bch Charter ccr Computer Concrete cmr Computer Modern cmss Computer Modern Sans Serif cmtt Computer Modern Typewriter pcr Courier phv Helvetica fi4 Inconsolata lmr Latin Modern lmss Latin Modern Sans lmtt Latin Modern Typewriter pnc New Century Schoolbook ppl Palatino ptm Times uncl Uncial put Utopia pzc Zapf Chancery low level font commands fontseries\fontseries{series} \fontseries series, of fonts Select the font series. A series combines a weight and a width. Typically, a font supports only a few of the possible combinations. Some common combined series values include: xx Medium (normal)xx m Medium (normal) b Bold c Condensed bc Bold condensed bx Bold extended weights, of fontsThe possible values for weight, individually, are: xx Medium (normal) xx ul Ultra light el Extra light l Light sl Semi light m Medium (normal) sb Semi bold b Bold eb Extra bold ub Ultra bold widths, of fontsThe possible values for width, individually, are (the meaning and relationship of these terms varies with individual typefaces): xx Ultra condensed uc Ultra condensed ec Extra condensed c Condensed sc Semi condensed m Medium sx Semi expanded x Expanded ex Extra expanded ux Ultra expanded When forming the series string from the weight and width, drop the m that stands for medium weight or medium width, unless both weight and width are m, in which case use just one (m). \fontshape{shape} \fontshape shapes, of fonts low level font commands fontshape Select font shape. Valid shapes are: xx Slanted (oblique)xx n Upright (normal) it Italic sl Slanted (oblique) sc Small caps ui Upright italics ol Outline The two last shapes are not available for most font families, and small caps are often missing as well. low level font commands fontsize\fontsize{size}{skip} \fontsize font size \baselineskip Set the font size and the line spacing. The unit of both parameters defaults to points (pt). The line spacing is the nominal vertical space between lines, baseline to baseline. It is stored in the parameter \baselineskip. The default \baselineskip for the Computer Modern typeface is 1.2 times the \fontsize. Changing \baselineskip directly is inadvisable since its value is reset every time a size change happens; see \baselinestretch, next. low level font commands baselinestretch \baselinestretch \baselinestretch &latex; multiplies the line spacing by the value of the \baselinestretch parameter; the default factor is 1. A change takes effect when \selectfont (see below) is called. You can make a line skip change happen for the entire document, for instance doubling it, by doing \renewcommand{\baselinestretch}{2.0} in the preamble. package, setspace setspace package double spacing However, the best way to double-space a document is to use the setspace package. In addition to offering a number of spacing options, this package keeps the line spacing single-spaced in places where that is typically desirable, such as footnotes and figure captions. See the package documentation. low level font commands linespread \linespread{factor} \linespread Equivalent to \renewcommand{\baselinestretch}{factor}, and therefore must be followed by \selectfont to have any effect. Best specified in the preamble, or use the setspace package, as just described. low level font commands selectfont \selectfont \selectfont The effects of the font commands described above do not happen until \selectfont is called, as in \fontfamily{familyname}\selectfont. It is often useful to put this in a macro:&linebreak; \newcommand*{\myfont}{\fontfamily{familyname}\selectfont}&linebreak; (\newcommand & \renewcommand). low level font commands usefont \usefont{enc}{family}{series}{shape} \usefont The same as invoking \fontencoding, \fontfamily, \fontseries and \fontshape with the given parameters, followed by \selectfont. For example:
\usefont{ot1}{cmr}{m}{n}
LayoutSectioningFontsTop Layout layout commands Commands for controlling the general page layout. \onecolumn
Use one-column layout.
\twocolumn
Use two-column layout.
\flushbottom
Make all text pages the same height.
\raggedbottom
Allow text pages of differing height.
Page layout parameters
\headheight \footskip.
Floats
Figures, tables, etc.
\onecolumn\twocolumnLayout
\onecolumn \onecolumn one-column output Synopsis:
\onecolumn
Start a new page and produce single-column output. If the document is given the class option onecolumn then this is the default behavior (Document class options). This command is fragile (\protect).
\twocolumn\flushbottom\onecolumnLayout
\twocolumn \twocolumn multicolumn text two-column output Synopses:
\twocolumn
\twocolumn[prelim one column text]
Start a new page and produce two-column output. If the document is given the class option twocolumn then this is the default (Document class options). This command is fragile (\protect). If the optional prelim one column text argument is present, it is typeset in one-column mode before the two-column typesetting starts. These parameters control typesetting in two-column output: \columnsep\columnsep twocolumn columnsep The distance between columns. The default is 35pt. Change it with a command such as \setlength{\columnsep}{40pt} You must change it before the two column environment starts; in the preamble is a good place. \columnseprule\columnseprule twocolumn columnseprule The width of the rule between columns. The rule appears halfway between the two columns. The default is 0pt, meaning that there is no rule. Change it with a command such as \setlength{\columnseprule}{0.4pt}, before the two-column environment starts. \columnwidth\columnwidth twocolumn columnwidth The width of a single column. In one-column mode this is equal to \textwidth. In two-column mode by default &latex; sets the width of each of the two columns to be half of \textwidth minus \columnsep. In a two-column document, the starred environments table* and figure* are two columns wide, whereas the unstarred environments table and figure take up only one column (figure and table). &latex; places starred floats at the top of a page. The following parameters control float behavior of two-column output. twocolumn dbltopfraction \dbltopfraction\dbltopfraction The maximum fraction at the top of a two-column page that may be occupied by two-column wide floats. The default is 0.7, meaning that the height of a table* or figure* environment must not exceed 0.7\textheight . If the height of your starred float environment exceeds this then you can take one of the following actions to prevent it from floating all the way to the back of the document: Use the [tp] location specifier to tell LaTeX to try to put the bulky float on a page by itself, as well as at the top of a page. Use the [t!] location specifier to override the effect of \dbltopfraction for this particular float. Increase the value of \dbltopfraction to a suitably large number, to avoid going to float pages so soon. You can redefine it, as with \renewcommand{\dbltopfraction}{0.9}. twocolumn dblfloatpagefraction \dblfloatpagefraction\dblfloatpagefraction For a float page of two-column wide floats, this is the minimum fraction that must be occupied by floats, limiting the amount of blank space. &latex;&textrsquo;s default is 0.5. Change it with \renewcommand. twocolumn dblfloatsep \dblfloatsep\dblfloatsep On a float page of two-column wide floats, this length is the distance between floats, at both the top and bottom of the page. The default is 12pt plus2pt minus2pt for a document set at 10pt or 11pt, and 14pt plus2pt minus4pt for a document set at 12pt. twocolumn dbltextfloatsep \dbltextfloatsep\dbltextfloatsep This length is the distance between a multi-column float at the top or bottom of a page and the main text. The default is 20pt plus2pt minus4pt. twocolumn dbltopnumber \dbltopnumber\dbltopnumber On a float page of two-column wide floats, this counter gives the maximum number of floats allowed at the top of the page. The &latex; default is 2. This example uses \twocolumn&textrsquo;s optional argument of to create a title that spans the two-column article:
\documentclass[twocolumn]{article}
\newcommand{\authormark}[1]{\textsuperscript{#1}}
\begin{document}
\twocolumn[{% inside this optional argument goes one-column text
  \centering
  \LARGE The Title \\[1.5em]
  \large Author One\authormark{1},
         Author Two\authormark{2},
         Author Three\authormark{1} \\[1em]
  \normalsize
  \begin{tabular}{p{.2\textwidth}&arobase;{\hspace{2em}}p{.2\textwidth}}
    \authormark{1}Department one  &\authormark{2}Department two \\ 
     School one                   &School two 
  \end{tabular}\\[3em] % space below title part
  }]

Two column text here.
\flushbottom\raggedbottom\twocolumnLayout
\flushbottom \flushbottom Make all pages in the documents after this declaration have the same height, by stretching the vertical space where necessary to fill out the page. This is most often used when making two-sided documents since the differences in facing pages can be glaring. If &tex; cannot satisfactorily stretch the vertical space in a page then you get a message like Underfull \vbox (badness 10000) has occurred while \output is active. If you get that, one option is to change to \raggedbottom (\raggedbottom). Alternatively, you can adjust the textheight to make compatible pages, or you can add some vertical stretch glue between lines or between paragraphs, as in \setlength{\parskip}{0ex plus0.1ex}. Your last option is to, in a final editing stage, adjust the height of individual pages (\enlargethispage). The \flushbottom state is the default only if you select the twoside document class option (Document class options).
\raggedbottomPage layout parameters\flushbottomLayout
\raggedbottom \raggedbottom stretch, omitting vertical Make all later pages the natural height of the material on that page; no rubber vertical lengths will be stretched. Thus, in a two-sided document the facing pages may be different heights. This command can go at any point in the document body. See \flushbottom. This is the default unless you select the twoside document class option (Document class options).
Page layout parametersFloats\raggedbottomLayout
Page layout parameters page layout parameters parameters, page layout layout, page parameters for header, parameters for footer, parameters for running header and footer \columnsep\columnsep \columnseprule\columnseprule \columnwidth\columnwidth \columnsep \columnseprule \columnwidth page layout parameters columnsep page layout parameters columnseprule page layout parameters columnwidth The distance between the two columns, the width of a rule between the columns, and the width of the columns, when the document class option twocolumn is in effect (Document class options). \twocolumn. \headheight\headheight \headheight page layout parameters headheight Height of the box that contains the running head. The default in the article, report, and book classes is 12pt, at all type sizes. \headsep\headsep \headsep page layout parameters headsep Vertical distance between the bottom of the header line and the top of the main text. The default in the article and report classes is 25pt. In the book class the default is: if the document is set at 10pt then it is 0.25in, and at 11pt and 12pt it is 0.275in. \footskip\footskip \footskip page layout parameters footskip Distance from the baseline of the last line of text to the baseline of the page footer. The default in the article and report classes is 30pt. In the book class the default is: when the type size is 10pt the default is 0.35in, while at 11pt it is 0.38in, and at 12pt it is 30pt. \linewidth\linewidth \linewidth page layout parameters linewidth Width of the current line, decreased for each nested list (list). That is, the nominal value for \linewidth is to equal \textwidth but for each nested list the \linewidth is decreased by the sum of that list&textrsquo;s \leftmargin and \rightmargin (itemize). \marginparpush\marginparpush \marginsep\marginsep \marginparwidth\marginparwidth \marginparpush \marginsep \marginparwidth page layout parameters marginparpush page layout parameters marginsep page layout parameters marginparwidth The minimum vertical space between two marginal notes, the horizontal space between the text body and the marginal notes, and the horizontal width of the notes. Normally marginal notes appear on the outside of the page, but the declaration \reversemarginpar changes that (and \normalmarginpar changes it back). The defaults for \marginparpush in both book and article classes are: 7pt if the document is set at 12pt, and 5pt if the document is set at 11pt or 10pt. For \marginsep, in article class the default is 10pt except if the document is set at 10pt and in two-column mode where the default is 11pt. For \marginsep in book class the default is 10pt in two-column mode and 7pt in one-column mode. For \marginparwidth in both book and article classes, in two-column mode the default is 60% of \paperwidth − \textwidth, while in one-column mode it is 50% of that distance. \oddsidemargin\oddsidemargin \evensidemargin\evensidemargin \oddsidemargin \evensidemargin page layout parameters oddsidemargin page layout parameters evensidemargin The \oddsidemargin is the extra distance between the left side of the page and the text&textrsquo;s left margin, on odd-numbered pages when the document class option twoside is chosen and on all pages when oneside is in effect. When twoside is in effect, on even-numbered pages the extra distance on the left is evensidemargin. &latex;&textrsquo;s default is that \oddsidemargin is 40% of the difference between \paperwidth and \textwidth, and \evensidemargin is the remainder. \paperheight\paperheight \paperheight page layout parameters paperheight The height of the paper, as distinct from the height of the print area. Normally set with a document class option, as in \documentclass[a4paper]{article} (Document class options). \paperwidth\paperwidth \paperwidth page layout parameters paperwidth The width of the paper, as distinct from the width of the print area. Normally set with a document class option, as in \documentclass[a4paper]{article} (Document class options). \textheight\textheight \textheight page layout parameters textheight The normal vertical height of the page body. If the document is set at a nominal type size of 10pt then for an article or report the default is 43\baselineskip, while for a book it is 41\baselineskip. At a type size of 11pt the default is 38\baselineskip for all document classes. At 12pt it is 36\baselineskip for all classes. \textwidth\textwidth \textwidth page layout parameters textwidth The full horizontal width of the entire page body. For an article or report document, the default is 345pt when the chosen type size is 10pt, the default is 360pt at 11pt, and it is 390pt at 12pt. For a book document, the default is 4.5in at a type size of 10pt, and 5in at 11pt or 12pt. In multi-column output, \textwidth remains the width of the entire page body, while \columnwidth is the width of one column (\twocolumn). In lists (list), \textwidth remains the width of the entire page body (and \columnwidth the width of the entire column), while \linewidth may decrease for nested lists. Inside a minipage (minipage) or \parbox (\parbox), all the width-related parameters are set to the specified width, and revert to their normal values at the end of the minipage or \parbox. \hsize page layout parameters hsize \hsize\hsize This entry is included for completeness: \hsize is the &tex; primitive parameter used when text is broken into lines. It should not be used in normal &latex; documents. \topmargin\topmargin topmargin page layout parameters topmargin Space between the top of the &tex; page (one inch from the top of the paper, by default) and the top of the header. The value is computed based on many other parameters: \paperheight − 2in − \headheight − \headsep − \textheight − \footskip, and then divided by two. \topskip\topskip \topskip page layout parameters topskip Minimum distance between the top of the page body and the baseline of the first line of text. For the standard classes, the default is the same as the font size, e.g., 10pt at a type size of 10pt.
FloatsPage layout parametersLayout
Floats Some typographic elements, such as figures and tables, cannot be broken across pages. They must be typeset outside of the normal flow of text, for instance floating to the top of a later page. &latex; can have a number of different classes of floating material. The default is the two classes, figure (figure) and table (table), but you can create a new class with the package float. Within any one float class &latex; always respects the order, so that the first figure in a document source must be typeset before the second figure. However, &latex; may mix the classes, so it can happen that while the first table appears in the source before the first figure, it appears in the output after it. The placement of floats is subject to parameters, given below, that limit the number of floats that can appear at the top of a page, and the bottom, etc. If so many floats are queued that the limits prevent them all from fitting on a page then &latex; places what it can and defers the rest to the next page. In this way, floats may end up being typeset far from their place in the source. In particular, a float that is big may migrate to the end of the document. In which event, because all floats in a class must appear in sequential order, every following float in that class also appears at the end. placement of floats specifier, float placement In addition to changing the parameters, for each float you can tweak where the float placement algorithm tries to place it by using its placement argument. The possible values are a sequence of the letters below. The default for both figure and table, in both article and book classes, is tbp. t (Top)&textmdash;at the top of a text page. b (Bottom)&textmdash;at the bottom of a text page. (However, b is not allowed for full-width floats (figure*) with double-column output. To ameliorate this, use the stfloats or dblfloatfix package, but see the discussion at caveats in the FAQ: http://www.tex.ac.uk/cgi-bin/texfaq2html?label=2colfloat. h (Here)&textmdash;at the position in the text where the figure environment appears. However, h is not allowed by itself; t is automatically added. here, putting floats package, float float package To absolutely force a float to appear &textldquo;here&textrdquo;, you can \usepackage{float} and use the H specifier which it defines. For further discussion, see the FAQ entry at http://www.tex.ac.uk/cgi-bin/texfaq2html?label=figurehere. p float page (Page of floats)&textmdash;on a separate float page, which is a page containing no text, only floats. ! Used in addition to one of the above; for this float only, &latex; ignores the restrictions on both the number of floats that can appear and the relative amounts of float and non-float text on the page. The ! specifier does not mean &textldquo;put the float here&textrdquo;; see above.
Note: the order in which letters appear in the placement argument does not change the order in which &latex; tries to place the float; for instance, btp has the same effect as tbp. All that placement does is that if a letter is not present then the algorithm does not try that location. Thus, &latex;&textrsquo;s default of tbp is to try every location except placing the float where it occurs in the source. To prevent &latex; from moving floats to the end of the document or a chapter you can use a \clearpage command to start a new page and insert all pending floats. If a pagebreak is undesirable then you can use the afterpage package and issue \afterpage{\clearpage}. This will wait until the current page is finished and then flush all outstanding floats. package, flafter flafter package &latex; can typeset a float before where it appears in the source (although on the same output page) if there is a t specifier in the placement parameter. If this is not desired, and deleting the t is not acceptable as it keeps the float from being placed at the top of the next page, then you can prevent it by either using the flafter package or using the command \suppressfloats \suppressfloats[t], which causes floats for the top position on this page to moved to the next page. Parameters relating to fractions of pages occupied by float and non-float text (change them with \renewcommand{parameter}{decimal between 0 and 1}): \bottomfraction\bottomfraction \bottomfraction floats bottomfraction The maximum fraction of the page allowed to be occupied by floats at the bottom; default .3. \floatpagefraction\floatpagefraction \floatpagefraction floats floatpagefraction The minimum fraction of a float page that must be occupied by floats; default .5. \textfraction\textfraction \textfraction floats textfraction Minimum fraction of a page that must be text; if floats take up too much space to preserve this much text, floats will be moved to a different page. The default is .2. \topfraction\topfraction \topfraction floats topfraction Maximum fraction at the top of a page that may be occupied before floats; default .7. Parameters relating to vertical space around floats (change them with a command of the form \setlength{parameter}{length expression}): \floatsep\floatsep \floatsep floats floatsep Space between floats at the top or bottom of a page; default 12pt plus2pt minus2pt. \intextsep\intextsep \intextsep floats intextsep Space above and below a float in the middle of the main text; default 12pt plus2pt minus2pt for 10 point and 11 point documents, and 14pt plus4pt minus4pt for 12 point documents. \textfloatsep\textfloatsep \textfloatsep floats textfloatsep Space between the last (first) float at the top (bottom) of a page; default 20pt plus2pt minus4pt. Counters relating to the number of floats on a page (change them with a command of the form \setcounter{ctrname}{natural number}): bottomnumberbottomnumber bottomnumber floats bottomnumber Maximum number of floats that can appear at the bottom of a text page; default 1. dbltopnumberdbltopnumber dbltopnumber floats dbltopnumber Maximum number of full-sized floats that can appear at the top of a two-column page; default 2. topnumbertopnumber topnumber floats topnumber Maximum number of floats that can appear at the top of a text page; default 2. totalnumbertotalnumber totalnumber floats totalnumber Maximum number of floats that can appear on a text page; default 3. The principal &tex; FAQ entry relating to floats http://www.tex.ac.uk/cgi-bin/texfaq2html?label=floats contains suggestions for relaxing &latex;&textrsquo;s default parameters to reduce the problem of floats being pushed to the end. A full explanation of the float placement algorithm is in Frank Mittelbach&textrsquo;s article &textldquo;How to influence the position of float environments like figure and table in &latex;?&textrdquo; (http://latex-project.org/papers/tb111mitt-float.pdf).
SectioningCross referencesLayoutTop Sectioning sectioning commands part chapter section subsection paragraph subparagraph \part \chapter \section \subsection \paragraph \subparagraph Structure your text into divisions: parts, chapters, sections, etc. All sectioning commands have the same form, one of:
sectioning-command{title}
sectioning-command*{title}
sectioning-command[toc-title]{title}
For instance, declare the start of a subsection as with \subsection{Motivation}. The table has each sectioning-command in &latex;. All are available in all of &latex;&textrsquo;s standard document classes book, report, and article, except that \chapter is not available in article. Sectioning unit Command Level Part \part -1 (book, report), 0 (article) Chapter \chapter 0 Section \section 1 Subsection \subsection 2 Subsubsection \subsubsection 3 Paragraph \paragraph 4 Subparagraph \subparagraph 5 *-form of sectioning commands All these commands have a *-form that prints title as usual but is not numbered and does not make an entry in the table of contents. An example of using this is for an appendix in an article . The input \appendix\section{Appendix} gives the output A Appendix (\appendix). You can lose the numbering A by instead entering \section*{Appendix} (articles often omit a table of contents and have simple page headers so the other differences from the \section command may not matter). The section title title provides the heading in the main text, but it may also appear in the table of contents and in the running head or foot (Page styles). You may not want the same text in these places as in the main text. All of these commands have an optional argument toc-title for these other places. The level number in the table above determines which sectional units are numbered, and which appear in the table of contents. If the sectioning command&textrsquo;s level is less than or equal to the value of the counter secnumdepth then the titles for this sectioning command will be numbered (Sectioning/secnumdepth). And, if level is less than or equal to the value of the counter tocdepth then the table of contents will have an entry for this sectioning unit (Sectioning/tocdepth). &latex; expects that before you have a \subsection you will have a \section and, in a book, that before a \section you will have a \chapter. Otherwise you can get a something like a subsection numbered 3.0.1. Two counters relate to the appearance of sectioning commands. secnumdepthsecnumdepth secnumdepth counter section numbers, printing sectioning secnumdepth Sectioning/secnumdepth Controls which sectioning commands are numbered. Suppress numbering of sectioning at any depth greater than level \setcounter{secnumdepth}{level} (\setcounter). See the above table for the level numbers. For instance, if the secnumdepth is 1 in an article then a \section{Introduction} command will produce output like 1 Introduction while \subsection{Discussion} will produce output like Discussion, without the number. &latex;&textrsquo;s default secnumdepth is 3 in article class and  2 in the book and report classes. tocdepthtocdepth tocdepth counter table of contents, sectioning numbers printed sectioning tocdepth Sectioning/tocdepth Controls which sectioning units are listed in the table of contents. The setting \setcounter{tocdepth}{level} makes the sectioning units at level be the smallest ones listed (\setcounter). See the above table for the level numbers. For instance, if tocdepth is 1 then the table of contents will list sections but not subsections. &latex;&textrsquo;s default secnumdepth is 3 in article class and  2 in the book and report classes. \part
Start a part.
\chapter
Start a chapter.
\section
Start a section.
\subsection
Start a subsection.
\subsubsection & \paragraph & \subparagraph
Lower divisions.
\appendix
Start appendices.
\frontmatter & \mainmatter & \backmatter
The three parts of a book.
\&arobase;startsection
Layout of sectional units.
\part\chapterSectioning
\part \part part sectioning, part Synopsis, one of:
\part{title}
\part*{title}
\part[toc-title]{title}
Start a document part. The standard &latex; classes book, report, and article, all have this command. This produces a document part, in a book.
\part{VOLUME I \\
       PERSONAL MEMOIRS OF  U.\ S.\ GRANT}
\chapter{ANCESTRY--BIRTH--BOYHOOD.}
My family is American, and has been for generations,
in all its branches, direct and collateral.
In each standard class the \part command outputs a part number such as Part I, alone on its line, in boldface, and in large type. Then &latex; outputs title, also alone on its line, in bold and in even larger type. In class book, the &latex; default puts each part alone on its own page. If the book is two-sided then &latex; will skip a page if needed to have the new part on an odd-numbered page. In report it is again alone on a page, but &latex; won&textrsquo;t force it onto an odd-numbered page. In an article &latex; does not put it on a fresh page, but instead outputs the part number and part title onto the main document page. The * form shows title but it does not show the part number, does not increment the part counter, and produces no table of contents entry. The optional argument toc-title will appear as the part title in the table of contents (Table of contents etc.) and in running headers (Page styles). If it is not present then title will be there. This example puts a line break in title but leaves out the break in the table of contents.
\part[Up from the bottom; my life]{Up from the bottom\\ my life}
For determining which sectional units are numbered and which appear in the table of contents, the level number of a part is -1 (Sectioning/secnumdepth and Sectioning/tocdepth). package, indentfirst indentfirst package In the class article, if a paragraph immediately follows the part title then it is not indented. To get an indent you can use the package indentfirst. package, titlesec titlesec package One package to change the behavior of \part is titlesec. See its documentation on CTAN.
\chapter\section\partSectioning
\chapter \chapter chapter Synopsis, one of:
\chapter{title}
\chapter*{title}
\chapter[toc-title]{title}
Start a chapter. The standard &latex; classes book and report have this command but article does not. This produces a chapter.
\chapter{Loomings}
Call me Ishmael.
Some years ago---never mind how long precisely---having little or no
money in my purse, and nothing particular to interest me on shore, I
thought I would sail about a little and see the watery part of
the world.
The &latex; default starts each chapter on a fresh page, an odd-numbered page if the document is two-sided. It produces a chapter number such as Chapter 1 in large boldface type (the size is \huge). It then puts title on a fresh line, in boldface type that is still larger (size \Huge). It also increments the chapter counter, adds an entry to the table of contents (Table of contents etc.), and sets the running header information (Page styles). The * form shows title on a fresh line, in boldface. But it does not show the chapter number, does not increment the chapter counter, produces no table of contents entry, and does not affect the running header. (If you use the page style headings in a two-sided document then the header will be from the prior chapter.) This example illustrates.
\chapter*{Preamble}
The optional argument toc-title will appear as the chapter title in the table of contents (Table of contents etc.) and in running headers (Page styles). If it is not present then title will be there. This shows the full name in the chapter title,
\chapter[Weyl]{Hermann Klaus Hugo (Peter) Weyl (1885--1955)}
but only Weyl on the contents page. This puts a line break in the title but that doesn&textrsquo;t work well with running headers so it omits the break in the contents
\chapter[Given it all\\ my story]{Given it all\\ my story}
For determining which sectional units are numbered and which appear in the table of contents, the level number of a chapter is 0 (Sectioning/secnumdepth and Sectioning/tocdepth). package, indentfirst indentfirst package The paragraph that follows the chapter title is not indented, as is a standard typographical practice. To get an indent use the package indentfirst. You can change what is shown for the chapter number. To change it to something like Lecture 1, put in the preamble either \renewcommand{\chaptername}{Lecture} or this (\makeatletter & \makeatother).
\makeatletter
\renewcommand{\&arobase;chapapp}{Lecture}
\makeatother
package, babel babel package To make this change because of the primary language for the document, see the package babel. In a two-sided document &latex; puts a chapter on odd-numbered page, if necessary leaving an even-numbered page that is blank except for any running headers. To make that page completely blank, see \clearpage & \cleardoublepage. package, titlesec titlesec package To change the behavior of the \chapter command, you can copy its definition from the &latex; format file and make adjustments. But there are also many packages on CTAN that address this. One is titlesec. See its documentation, but the example below gives a sense of what it can do.
\usepackage{titlesec}   % in preamble
\titleformat{\chapter}
  {\Huge\bfseries}  % format of title
  {}                % label, such as 1.2 for a subsection
  {0pt}             % length of separation between label and title
  {}                % before-code hook
This omits the chapter number Chapter 1 from the page but unlike \chapter* it keeps the chapter in the table of contents and the running headers.
\section\subsection\chapterSectioning
\section \section section Synopsis, one of:
\section{title}
\section*{title}
\section[toc-title]{title}
Start a section. The standard &latex; classes article, book, and report all have this command. This produces a section.
In this Part we tend to be more interested in the function,
in the input-output behavior,
than in the details of implementing that behavior.

\section{Turing machines}
Despite this desire to downplay implementation,
we follow the approach of A~Turing that the
first step toward defining the set of computable functions
is to reflect on the details of what mechanisms can do.
For the standard &latex; classes book and report the default output is like 1.2 title (for chapter 1, section 2), alone on its line and flush left, in boldface and a larger type (the type size is \Large). The same holds in article except that there are no chapters in that class so it looks like 2 title. The * form shows title. But it does not show the section number, does not increment the section counter, produces no table of contents entry, and does not affect the running header. (If you use the page style headings in a two-sided document then the header will be from the prior section.) The optional argument toc-title will appear as the section title in the table of contents (Table of contents etc.) and in running headers (Page styles). If it is not present then title will be there. This shows the full name in the title of the section,
\section[Elizabeth~II]{Elizabeth the Second,
  by the Grace of God of the United Kingdom,
  Canada and Her other Realms and Territories Queen,
  Head of the Commonwealth, Defender of the Faith.}
but only Elizabeth II on the contents page and in the headers. This has a line break in title but that does not work with headers so it is omitted from the contents and headers.
\section[Truth is, I cheated; my life story]{Truth is,
  I cheated\\my life story}
For determining which sectional units are numbered and which appear in the table of contents, the level number of a section is 1 (Sectioning/secnumdepth and Sectioning/tocdepth). package, indentfirst indentfirst package The paragraph that follows the section title is not indented, as is a standard typographical practice. One way to get an indent is to use the package indentfirst. package, titlesec titlesec package In general, to change the behavior of the \section command, there are a number of options. One is the \&arobase;startsection command (\&arobase;startsection). There are also many packages on CTAN that address this, including titlesec. See the documentation but the example below gives a sense of what they can do.
\usepackage{titlesec}   % in preamble
\titleformat{\section}
  {\normalfont\Large\bfseries}  % format of title
  {\makebox[1pc][r]{\thesection\hspace{1pc}}} % label
  {0pt}                   % length of separation between label and title
  {}                      % before-code hook
\titlespacing*{\section}
  {-1pc}{18pt}{10pt}[10pc]
That puts the section number in the margin.
\subsection\subsubsection & \paragraph & \subparagraph\sectionSectioning
\subsection \subsection subsection Synopsis, one of:
\subsection{title}
\subsection*{title}
\subsection[toc-title]{title}
Start a subsection. The standard &latex; classes article, book, and report all have this command. This produces a subsection.
We will show that there are more functions than Turing machines and that
therefore some functions have no associated machine.

\subsection{Cardinality} We will begin with two paradoxes that
dramatize the challenge to our intuition posed by comparing the sizes of
infinite sets.
For the standard &latex; classes book and report the default output is like 1.2.3 title (for chapter 1, section 2, subsection 3), alone on its line and flush left, in boldface and a larger type (the type size is \large). The same holds in article except that there are no chapters in that class so it looks like 2.3 title. The * form shows title. But it does not show the section number, does not increment the section counter, and produces no table of contents entry. The optional argument toc-title will appear as the section title in the table of contents (Table of contents etc.). If it is not present then title will be there. This shows the full name in the title of the section,
\subsection[$\alpha,\beta,\gamma$ paper]{\textit{The Origin of
  Chemical Elements} by R.A.~Alpher, H.~Bethe, and G.~Gamow}
but only 03B1,03B2,03B3 paper on the contents page. For determining which sectional units are numbered and which appear in the table of contents, the level number of a subsection is 2 (Sectioning/secnumdepth and Sectioning/tocdepth). package, indentfirst indentfirst package The paragraph that follows the subsection title is not indented, as is a standard typographical practice. One way to get an indent is to use the package indentfirst. package, titlesec titlesec package There are a number of ways to change the behavior of the \subsection command. One is the \&arobase;startsection command (\&arobase;startsection). There are also many packages on CTAN that address this, including titlesec. See the documentation but the example below gives a sense of what they can do.
\usepackage{titlesec}   % in preamble
\titleformat{\subsection}[runin]
  {\normalfont\normalsize\bfseries}  % format of the title
  {\thesubsection}                   % label
  {0.6em}                            % space between label and title
  {}                                 % before-code hook
That puts the subsection number and title in the first line of text.
\subsubsection & \paragraph & \subparagraph\appendix\subsectionSectioning
\subsubsection, \paragraph, \subparagraph \subsubsection subsubsection \paragraph paragraph \subparagraph subparagraph Synopsis, one of:
\subsubsection{title}
\subsubsection*{title}
\subsubsection[toc-title]{title}
or one of:
\paragraph{title}
\paragraph*{title}
\paragraph[toc-title]{title}
or one of:
\subparagraph{title}
\subparagraph*{title}
\subparagraph[toc-title]{title}
Start a subsubsection, paragraph, or subparagraph. The standard &latex; classes article, book, and report all have these commands, although they are not commonly used. This produces a subsubsection.
\subsubsection{Piston ring compressors: structural performance}
Provide exterior/interior wall cladding assemblies
capable of withstanding the effects of load and stresses from 
consumer-grade gasoline engine piston rings.
The default output of each of the three does not change over the standard &latex; classes article, book, and report. For \subsubsection the title is alone on its line, in boldface and normal size type. For \paragraph the title is inline with the text, not indented, in boldface and normal size type. For \subparagraph the title is inline with the text, with a paragraph indent, in boldface and normal size type (Because an article has no chapters its subsubsections are numbered and so it looks like 1.2.3 title, for section 1, subsection 2, and subsubsection 3. The other two divisions are not numbered.) The * form shows title. But it does not increment the associated counter and produces no table of contents entry (and does not show the number for \subsubsection). The optional argument toc-title will appear as the division title in the table of contents (Table of contents etc.). If it is not present then title will be there. For determining which sectional units are numbered and which appear in the table of contents, the level number of a subsubsection is 3, of a paragraph is 4, and of a subparagraph is 5 (Sectioning/secnumdepth and Sectioning/tocdepth). package, indentfirst indentfirst package The paragraph that follows the subsubsection title is not indented, as is a standard typographical practice. One way to get an indent is to use the package indentfirst. package, titlesec titlesec package There are a number of ways to change the behavior of the these commands. One is the \&arobase;startsection command (\&arobase;startsection). There are also many packages on CTAN that address this, including titlesec. See the documentation on CTAN.
\appendix\frontmatter & \mainmatter & \backmatter\subsubsection & \paragraph & \subparagraphSectioning
\appendix \appendix appendix appendices Synopsis:
\appendix
This does not directly produce any output. But in a book or report it declares that subsequent \chapter commands start an appendix. In an article it does the same, for \section commands. It also resets the chapter and section counters to 0 in a book or report, and in an article resets the section and subsection counters. In this book
\chapter{One}  ...
\chapter{Two}  ...
 ...
\appendix
\chapter{Three}  ...
\chapter{Four}  ...
the first two will generate output numbered Chapter 1 and Chapter 2. After the \appendix the numbering will be Appendix A and Appendix B. Larger book template for another example. package, appendix appendix package The appendix package adds the command \appendixpage to put a separate Appendices in the document body before the first appendix, and the command \addappheadtotoc to do the same in the table of contents. You can reset the name Appendix with a command like \renewcommand{\appendixname}{Specification}, as well as a number of other features. See the documentation on CTAN.
\frontmatter & \mainmatter & \backmatter\&arobase;startsection\appendixSectioning
\frontmatter, \mainmatter, \backmatter \frontmatter book, front matter \mainmatter book, main matter \backmatter book, back matter book, end matter Synopsis, one of:
\frontmatter
\mainmatter
\backmatter
Format a book class document differently according to which part of the document is being produced. All three commands are optional. Traditionally, a book&textrsquo;s front matter contains such things as the title page, an abstract, a table of contents, a preface, a list of notations, a list of figures, and a list of tables. (Some of these front matter pages, such as the title page, are traditionally not numbered.) The back matter may contain such things as a glossary, notes, a bibliography, and an index. The \frontmatter declaration makes the pages numbered in lowercase roman, and makes chapters not numbered, although each chapter&textrsquo;s title appears in the table of contents; if you use other sectioning commands here, use the *-version (Sectioning). The \mainmatter changes the behavior back to the expected version, and resets the page number. The \backmatter leaves the page numbering alone but switches the chapters back to being not numbered. Larger book template for an example using the three.
\&arobase;startsection\frontmatter & \mainmatter & \backmatterSectioning
\&arobase;startsection \&arobase;startsection section, redefining Synopsis:
\&arobase;startsection{name}{level}{indent}{beforeskip}{afterskip}{style}
Used to help redefine the behavior of commands that start sectioning divisions such as \section or \subsection. Note that the titlesec package makes manipulation of sectioning easier. Further, while most requirements for sectioning commands can be satisfied with \&arobase;startsection, some cannot. For instance, in the standard &latex; book and report classes the commands \chapter and \report are not constructed in this way. To make such a command you may want to use the \secdef command. Technically, \&arobase;startsection has the form
\&arobase;startsection{name}
  {level}
  {indent}
  {beforeskip}
  {afterskip}
  {style}*[toctitle]{title}
so that issuing
\renewcommand{\section}{\&arobase;startsection{name}
  {level}
  {indent}
  {beforeskip}
  {afterskip}
  {style}}
redefines \section to have the form \section*[toctitle]{title} (here too, the star * is optional). Sectioning. This implies that when you write a command like \renewcommand{section}{...}, the \&arobase;startsection{...} must come last in the definition. See the examples below. name startsection name \&arobase;startsection/name Name of the counter used to number the sectioning header. This counter must be defined separately. Most commonly this is either section, subsection, or paragraph. Although in those cases the counter name is the same as the sectioning command itself, you don&textrsquo;t have to use the same name. Then \thename displays the title number and \namemark is for the page headers. See the third example below. level startsection level \&arobase;startsection/level An integer giving the depth of the sectioning command. Sectioning for the list of standard level numbers. If level is less than or equal to the value of the counter secnumdepth then titles for this sectioning command will be numbered (Sectioning/secnumdepth). For instance, if secnumdepth is 1 in an article then the command \section{Introduction} will produce output like &textldquo;1 Introduction&textrdquo; while \subsection{Discussion} will produce output like &textldquo;Discussion&textrdquo;, without the number prefix. If level is less than or equal to the value of the counter tocdepth then the table of contents will have an entry for this sectioning unit (Sectioning/tocdepth). For instance, in an article, if tocdepth is 1 then the table of contents will list sections but not subsections. indent startsection indent \&arobase;startsection/indent A length giving the indentation of all of the title lines with respect to the left margin. To have the title flush with the margin use 0pt. A negative indentation such as -\parindent will move the title into the left margin. beforeskip startsection beforeskip \&arobase;startsection/beforeskip The absolute value of this length is the amount of vertical space that is inserted before this sectioning unit&textrsquo;s title. This space will be discarded if the sectioning unit happens to start at the top of a fresh page. If this number is negative then the first paragraph following the header is not indented, if it is non-negative then the first paragraph is indented. (Note that the negative of 1pt plus 2pt minus 3pt is -1pt plus -2pt minus -3pt.) For example, if beforeskip is -3.5ex plus -1ex minus -0.2ex then to start the new sectioning unit, &latex; will add about 3.5 times the height of a letter x in vertical space, and the first paragraph in the section will not be indented. Using a rubber length, with plus and minus, is good practice here since it gives &latex; more flexibility in making up the page (Lengths). The full accounting of the vertical space between the baseline of the line prior to this sectioning unit&textrsquo;s header and the baseline of the header is that it is the sum of the \parskip of the text font, the \baselineskip of the title font, and the absolute value of the beforeskip. This space is typically rubber so it may stretch or shrink. (If the sectioning unit starts on a fresh page so that the vertical space is discarded then the baseline of the header text will be where &latex; would put the baseline of the first text line on that page.) afterskip startsection afterskip \&arobase;startsection/afterskip This is a length. If afterskip is non-negative then this is the vertical space inserted after the sectioning unit&textrsquo;s title header. If it is negative then the title header becomes a run-in header, so that it becomes part of the next paragraph. In this case the absolute value of the length gives the horizontal space between the end of the title and the beginning of the following paragraph. (Note that the negative of 1pt plus 2pt minus 3pt is -1pt plus -2pt minus -3pt.) As with beforeskip, using a rubber length, with plus and minus components, is good practice here since it gives &latex; more flexibility in putting together the page. If afterskip is non-negative then the full accounting of the vertical space between the baseline of the sectioning unit&textrsquo;s header and the baseline of the first line of the following paragraph is that it is the sum of the \parskip of the title font, the \baselineskip of the text font, and the value of after. That space is typically rubber so it may stretch or shrink. (Note that because the sign of afterskip changes the sectioning unit header&textrsquo;s from standalone to run-in, you cannot use a negative afterskip to cancel part of the \parskip.) style startsection style \&arobase;startsection/style Controls the styling of the title. See the examples below. Typical commands to use here are \centering, \raggedright, \normalfont, \hrule, or \newpage. The last command in style may be one that takes one argument, such as \MakeUppercase or \fbox that takes one argument. The section title will be supplied as the argument to this command. For instance, setting style to \bfseries\MakeUppercase would produce titles that are bold and uppercase.
These are &latex;&textrsquo;s defaults for the first three sectioning units that are defined with \&arobase;startsection, for the article, book, and report classes. For section, the level is 1, the indent is 0pt, the beforeskip is -3.5ex plus -1ex minus -0.2ex, the afterskip is 2.3ex plus 0.2ex, and the style is \normalfont\Large\bfseries. For subsection, the level is 2, the indent is 0pt, the beforeskip is -3.25ex plus -1ex minus -0.2ex, the afterskip is 1.5ex plus 0.2ex, and the style is \normalfont\large\bfseries. For subsubsection, the level is 3, the indent is 0pt, the beforeskip is -3.25ex plus -1ex minus -0.2ex, the afterskip is 1.5ex plus 0.2ex, and the style is \normalfont\normalsize\bfseries. Here are examples. They go either in a package or class file or in the preamble of a &latex; document. If you put them in the preamble they must go between a \makeatletter command and a \makeatother. (Probably the error message You can't use `\spacefactor' in vertical mode. means that you forgot this.) \makeatletter & \makeatother. This will put section titles in large boldface type, centered. It says \renewcommand because &latex;&textrsquo;s standard classes have already defined a \section. For the same reason it does not define a section counter, or the commands \thesection and \l&arobase;section.
\renewcommand\section{%
  \&arobase;startsection{section}% \&arobase;startsection/namenamename
    {1}% \&arobase;startsection/levellevellevel
    {0pt}% \&arobase;startsection/indentindentindent
    {-3.5ex plus -1ex minus -.2ex}% \&arobase;startsection/beforeskipbeforeskipbeforeskip
    {2.3ex plus.2ex}% \&arobase;startsection/afterskipafterskipafterskip
    {\centering\normalfont\Large\bfseries}% \&arobase;startsection/stylestylestyle
  }
This will put subsection titles in small caps type, inline with the paragraph.
\renewcommand\subsection{%
  \&arobase;startsection{subsection}%  \&arobase;startsection/namenamename
    {2}% \&arobase;startsection/levellevellevel
    {0em}% \&arobase;startsection/indentindentindent
    {-1ex plus 0.1ex minus -0.05ex}% \&arobase;startsection/beforeskipbeforeskipbeforeskip
    {-1em plus 0.2em}% \&arobase;startsection/afterskipafterskipafterskip
    {\scshape}% \&arobase;startsection/stylestylestyle
  }
The prior examples redefined existing sectional unit title commands. This defines a new one, illustrating the needed counter and macros to display that counter.
\setcounter{secnumdepth}{6}% show counters this far down
\newcounter{subsubparagraph}[subparagraph]% counter for numbering
\renewcommand{\thesubsubparagraph}%               how to display 
  {\thesubparagraph.\&arobase;arabic\c&arobase;subsubparagraph}%  numbering
\newcommand{\subsubparagraph}{\&arobase;startsection
                         {subsubparagraph}%
                         {6}%
                         {0em}%
                         {\baselineskip}%
                         {0.5\baselineskip}%
                         {\normalfont\normalsize}}
\newcommand*\l&arobase;subsubparagraph{\&arobase;dottedtocline{6}{10em}{5em}}% for toc
\newcommand{\subsubparagraphmark}[1]{}% for page headers
Cross referencesEnvironmentsSectioningTop Cross references cross references label We often want something like See Theorem~31. But by-hand typing the 31 is poor practice. Instead you should write a label such as \label{eq:GreensThm} and then reference it, as with See equation~\ref{eq:GreensThm}. &latex; will automatically work out the number, put it into the output, and will change that number later if needed.
We will see this with Theorem~\ref{th:GreensThm}. % forward reference
...
\begin{theorem} \label{th:GreensThm}
  ...
\end{theorem}
...
See Theorem~\ref{th:GreensThm} on page~\pageref{th:GreensThm}.
&latex; tracks cross reference information in a file having the extension .aux and with the same base name as the file containing the \label. So if \label is in calculus.tex then the information is in calculus.aux. &latex; puts the information in that file every time it runs across a \label. forward reference reference, forward The behavior described in the prior paragraph results in a quirk that happens when your document has a forward reference, a \ref that appears before the associated \label. If this is the first time that you are compiling the document then you will get LaTeX Warning: Label(s) may have changed. Rerun to get cross references right and in the output the forward reference will appear as two question marks ??, in boldface. A similar thing happens if you change some things so the references changes; you get the same warning and the output contains the old reference information. In both cases, resolve this by compiling the document a second time. package, cleveref cleveref package The cleveref package enhances &latex;&textrsquo;s cross referencing features. You can arrange that if you enter \begin{thm}\label{th:Nerode}...\end{thm} then \cref{th:Nerode} will output Theorem 3.21, without you having to enter the &textldquo;Theorem.&textrdquo; \label
Assign a symbolic name to a piece of text.
\pageref
Refer to a page number.
\ref
Refer to a section, figure or similar.
\label\pagerefCross references
\label \label Synopsis:
\label{key}
Assign a reference number to key. In ordinary text \label{key} assigns to key the number of the current sectional unit. Inside an environment with numbering, such as a table or theorem environment, \label{key} assigns to key the number of that environment. Retrieve the assigned number with the \ref{key} command (\ref). A key name can consist of any sequence of letters, digits, or common punctuation characters. Upper and lowercase letters are distinguished, as usual. A common convention is to use labels consisting of a prefix and a suffix separated by a colon or period. Thus, \label{fig:Post} is a label for a figure with a portrait of Emil Post. This helps to avoid accidentally creating two labels with the same name, and makes your source more readable. Some commonly-used prefixes: ch for chapters sec subsec for lower-level sectioning commands fig for figures tab for tables eq for equations
In the auxiliary file the reference information is kept as the text of a command of the form \newlabel{label}{{currentlabel}{pagenumber}}. Here currentlabel is the current value of the macro \&arobase;currentlabel that is usually updated whenever you call \refstepcounter{counter}. Below, the key sec:test will get the number of the current section and the key fig:test will get the number of the figure. (Incidentally, put labels after captions in figures and tables.)
\section{section name}
\label{sec:test}
This is Section~\ref{sec:test}.
\begin{figure}
  ...
  \caption{caption text}
  \label{fig:test}
\end{figure}
See Figure~\ref{fig:test}.
\pageref\ref\labelCross references
\pageref \pageref cross referencing with page number page number, cross referencing Synopsis:
\pageref{key}
Produce the page number of the place in the text where the corresponding \label{key} command appears. If there is no \label{key} then you get something like LaTeX Warning: Reference `th:GrensThm' on page 1 undefined on input line 11. Below, the \label{eq:main} is used both for the formula number and for the page number. (Note that the two references are forward references so this document would need to be compiled twice to resolve those.)
The main result is formula~\ref{eq:main} on page~\pageref{eq:main}.
  ...
\begin{equation} \label{eq:main}
   \mathbf{P}=\mathbf{NP}
\end{equation}
\ref\pagerefCross references
\ref \ref cross referencing, symbolic section number, cross referencing equation number, cross referencing figure number, cross referencing footnote number, cross referencing Synopsis:
\ref{key}
Produces the number of the sectional unit, equation, footnote, figure, &dots;, of the corresponding \label command (\label). It does not produce any text, such as the word &textlsquo;Section&textrsquo; or &textlsquo;Figure&textrsquo;, just the bare number itself. If there is no \label{key} then you get something like LaTeX Warning: Reference `th:GrensThm' on page 1 undefined on input line 11. In this example the \ref{popular} produces 2. Note that it is a forward reference since it comes before \label{popular} so this document would have to be compiled twice.
The most widely-used format is item number~\ref{popular}.
\begin{enumerate}
\item Plain \TeX
\item \label{popular} \LaTeX
\item Con\TeX t
\end{enumerate}
package, cleveref cleveref package The cleveref package includes text such as Theorem in the reference. See the documentation on CTAN.
EnvironmentsLine breakingCross referencesTop Environments environments \begin \end &latex; provides many environments for delimiting certain behavior. An environment begins with \begin and ends with \end, like this:
\begin{environment-name}
  ...
\end{environment-name}
The environment-name at the beginning must exactly match that at the end. For instance, the input \begin{table*}...\end{table} will cause an error like: ! LaTeX Error: \begin{table*} on input line 5 ended by \end{table}. group, and environments Environments are executed within a group. abstract
Produce an abstract.
array
Math arrays.
center
Centered lines.
description
Labelled lists.
displaymath
Formulas that appear on their own line.
document
Enclose the whole document.
enumerate
Numbered lists.
eqnarray
Sequences of aligned equations.
equation
Displayed equation.
figure
Floating figures.
filecontents
Writing multiple files from the source.
flushleft
Flushed left lines.
flushright
Flushed right lines.
itemize
Bulleted lists.
letter
Letters.
list
Generic list environment.
math
In-line math.
minipage
Miniature page.
picture
Picture with text, arrows, lines and circles.
quotation & quote
Include a quotation.
tabbing
Align text arbitrarily.
table
Floating tables.
tabular
Align text in columns.
thebibliography
Bibliography or reference list.
theorem
Theorems, lemmas, etc.
titlepage
For hand crafted title pages.
verbatim
Simulating typed input.
verse
For poetry and other things.
abstractarrayEnvironments
abstract environment, abstract abstract environment abstracts Synopsis:
\begin{abstract}
...
\end{abstract}
Produce an abstract, possibly of multiple paragraphs. This environment is only defined in the article and report document classes (Document classes). Using the example below in the article class produces a displayed paragraph. Document class option titlepage causes the abstract to be on a separate page (Document class options); this is the default only in the report class.
\begin{abstract}
  We compare all known accounts of the proposal made by Porter Alexander 
  to Robert E Lee at the Appomattox Court House that the army continue
  in a guerrilla war, which Lee refused.
\end{abstract}
The next example produces a one column abstract in a two column document (for a more flexible solution, use the package abstract).
\documentclass[twocolumn]{article}
  ...
\begin{document}
\title{Babe Ruth as Cultural Progenitor: a Atavistic Approach}
\author{Smith \\ Jones \\ Robinson\thanks{Railroad tracking grant.}}
\twocolumn[
  \begin{&arobase;twocolumnfalse}
     \maketitle
     \begin{abstract}
       Ruth was not just the Sultan of Swat, he was the entire swat
       team.   
     \end{abstract}
   \end{&arobase;twocolumnfalse}
   ]
{   % by-hand insert a footnote at page bottom
 \renewcommand{\thefootnote}{\fnsymbol{footnote}}
 \footnotetext[1]{Thanks for all the fish.}
}
arraycenterabstractEnvironments
array environment, array array environment arrays, math Synopsis:
\begin{array}{cols}
  column 1 entry &column 2 entry ... &column n entry \\
  ...
\end{array}
or:
\begin{array}[pos]{cols}
  column 1 entry &column 2 entry ... &column n entry \\
  ...
\end{array}
Produce a mathematical array. This environment can only be used in math mode, and normally appears within a displayed mathematics environment such as equation (equation). Inside of each row the column entries are separated by an ampersand, (&). Rows are terminated with double-backslashes (\\). This example shows a three by three array.
\begin{equation*}
  \chi(x) =
  \left|              % vertical bar fence
    \begin{array}{ccc}
      x-a  &-b  &-c  \\
      -d   &x-e &-f  \\
      -g   &-h  &x-i
    \end{array}
 \right|
\end{equation*}
The required argument cols describes the number of columns, their alignment, and the formatting of the intercolumn regions. For instance, \begin{array}{rcl}...\end{array} gives three columns: the first flush right, the second centered, and the third flush left. See tabular for the complete description of cols and of the other common features of the two environments, including the optional pos argument. There are two ways that array diverges from tabular. The first is that array entries are typeset in math mode, in textstyle (Modes) except if the cols definition specifies the column with p{...}, which causes the entry to be typeset in text mode. The second is that, instead of tabular&textrsquo;s parameter \tabcolsep, &latex;&textrsquo;s intercolumn space in an array is governed by \arraycolsep \arraycolsep, which gives half the width between columns. The default for this is 5pt so that between two columns comes 10pt of space. package, amsmath amsmath package To obtain arrays with braces the standard is to use the amsmath package. It comes with environments pmatrix for an array surrounded by parentheses (...), bmatrix for an array surrounded by square brackets [...], Bmatrix for an array surrounded by curly braces {...}, vmatrix for an array surrounded by vertical bars |...|, and Vmatrix for an array surrounded by double vertical bars ||...||, along with a number of other array constructs. package, amsmath amsmath package The next example uses the amsmath package.
\usepackage{amsmath}  % in preamble

\begin{equation}    
  \begin{vmatrix}{cc}  % array with vert lines
    a  &b \\
    c  &d       
  \end{vmatrix}=ad-bc
\end{equation}
package, array (package) array (package) package package, dcolumn dcolumn package There are many packages concerning arrays. The array package has many useful extensions, including more column types. The dcolumn package adds a column type to center on a decimal point. For both see the documentation on CTAN.
centerdescriptionarrayEnvironments
center environment, center center environment centering text, environment for Synopsis:
\begin{center}
  line1 \\
  line2 \\
  ...
\end{center}
Create a new paragraph consisting of a sequence of lines that are centered within the left and right margins. Use double-backslash, \\, to get a line break (\\). \\ (for center) If some text is too long to fit on a line then &latex; will insert line breaks that avoid hyphenation and avoid stretching or shrinking any interword space. This environment inserts space above and below the text body. See \centering to avoid such space, for example inside a figure environment. This example produces three centered lines. There is extra vertical space between the last two lines.
\begin{center}
  A Thesis Submitted in Partial Fufillment \\
  of the Requirements of \\[0.5ex]
  the School of Environmental Engineering
\end{center}
In this example, depending on the page&textrsquo;s line width, &latex; may choose a line break for the part before the double backslash. If so, it will center each of the two lines and if not it will center the single line. Then &latex; will break at the double backslash, and will center the ending.
\begin{center}
  My father considered that anyone who went to chapel and didn't drink 
  alcohol was not to be tolerated.\\ 
  I grew up in that belief.  --Richard Burton 
\end{center}
A double backslash after the final line is optional. If present it doesn&textrsquo;t add any vertical space. In a two-column document the text is centered in a column, not in the entire page. \centering
Declaration form of the center environment.
\centeringcenter \centering \centering centering text, declaration for Synopsis:
{\centering ... }
or
\begin{group}
  \centering ...
\end{group}
Center the material in its scope. It is most often used inside an environment such as figure, or in a parbox. This example&textrsquo;s \centering declaration causes the graphic to be horizontally centered.
\begin{figure}
  \centering
  \includegraphics[width=0.6\textwidth]{ctan_lion.png}
  \caption{CTAN Lion}  \label{fig:CTANLion}
\end{figure}
The scope of this \centering ends with the \end{figure}. Unlike the center environment, the \centering command does not add vertical space above and below the text. That&textrsquo;s its advantage in the above example; there is not an excess of space. It also does not start a new paragraph; it simply changes how &latex; formats paragraph units. If ww {\centering xx \\ yy} zz is surrounded by blank lines then &latex; will create a paragraph whose first line ww xx is centered and whose second line, not centered, contains yy zz. Usually what is desired is for the scope of the declaration to contain a blank line or the \end command of an environment such as figure or table that ends the paragraph unit. Thus, if {\centering xx \\ yy\par} zz is surrounded by blank lines then it makes a new paragraph with two centered lines xx and yy, followed by a new paragraph with zz that is formatted as usual.
descriptiondisplaymathcenterEnvironments
description environment, description description environment labelled lists, creating description lists, creating Synopsis:
\begin{description}
  \item[label of first item] text of first item
  \item[label of second item] text of second item
   ...
\end{description}
Environment to make a list of labeled items. Each item&textrsquo;s label is typeset in bold and is flush left, so that long labels continue into the first line of the item text. There must be at least one item; having none causes the &latex; error Something's wrong--perhaps a missing \item. This example shows the environment used for a sequence of definitions.
\begin{definition}
  \item[lama] A priest.
  \item[llama] A beast.
\end{definition}
The labels lama and llama are output in boldface, with the left edge on the left margin. \item Start list items with the \item command (\item). Use the optional labels, as in \item[Main point], because there is no sensible default. Following the \item is optional text, which may contain multiple paragraphs. bold typewriter, avoiding typewriter labels in lists Since the labels are in bold style, if the label text calls for a font change given in argument style (see Font styles) then it will come out bold. For instance, if the label text calls for typewriter with \item[\texttt{label text}] then it will appear in bold typewriter, if that is available. The simplest way around this, in this example to get non-bold typewriter, is to use declarative style: \item[{\tt label text}]. Similarly, get the standard roman font with \item[{\rm label text}]. For other major &latex; labelled list environments, see itemize and enumerate. Unlike those environments, nesting description environments does not change the default label; it is boldface and flush left at all levels. For information about list layout parameters, including the default values, and for information about customizing list layout, see list. The package enumitem is useful for customizing lists. This example changes the description labels to small caps.
\renewcommand{\descriptionlabel}[1]{%
  {\hspace{\labelsep}\textsc{#1}}}
displaymathdocumentdescriptionEnvironments
displaymath environment, displaymath displaymath environment Synopsis:
\begin{displaymath}
  mathematical text
\end{displaymath}
Environment to typeset the math text on its own line, in display style and centered. To make the text be flush-left use the global option fleqn; see Document class options. In the displaymath environment no equation number is added to the math text. One way to get an equation number is to use the equation environment (equation). &latex; will not break the math text across lines. package, amsmath amsmath package Note that the amsmath package has significantly more extensive displayed equation facilities. For example, there are a number of ways in that package for having math text broken across lines. The construct \[math text\] is essentially a synonym for \begin{displaymath}math text\end{displaymath} but the latter is easier to work with in the source file; for instance, searching for a square bracket may get false positives but the word displaymath will likely be unique. (The construct $$math text$$ from Plain &tex; is sometimes mistakenly used as a synonym for displaymath. It is not a synonym, because the displaymath environment checks that it isn&textrsquo;t started in math mode and that it ends in math mode begun by the matching environment start, because the displaymath environment has different vertical spacing, and because the displaymath environment honors the fleqn option.) The output from this example is centered and alone on its line.
\begin{displaymath}
  \int_1^2 x^2\,dx=7/3
\end{displaymath}
Also, the integral sign is larger than the inline version \( \int_1^2 x^2\,dx=7/3 \) produces.
documentenumeratedisplaymathEnvironments
document environment, document document environment The document environment encloses the entire body of a document. It is required in every &latex; document. Starting and ending. \AtBeginDocument
Hook for commands at the start of the document.
\AtEndDocument
Hook for commands at the end of the document.
\AtBeginDocument\AtEndDocumentdocument \AtBeginDocument \AtBeginDocument beginning of document hook Synopsis:
\AtBeginDocument{code}
Save code and execute it when \begin{document} is executed, at the very end of the preamble. The code is executed after the font selection tables have been set up, so the normal font for the document is the current font. However, the code is executed as part of the preamble so you cannot do any typesetting with it. You can issue this command more than once; the successive code lines will be executed in the order that you gave them.
\AtEndDocument\AtBeginDocumentdocument \AtEndDocument \AtEndDocument end of document hook Synopsis:
\AtEndDocument{code}
Save code and execute it near the end of the document. Specifically, it is executed when \end{document} is executed, before the final page is finished and before any leftover floating environments are processed. If you want some of the code to be executed after these two processes then include a \clearpage at the appropriate point in code. You can issue this command more than once; the successive code lines will be executed in the order that you gave them.
enumerateeqnarraydocumentEnvironments
enumerate environment, enumerate enumerate environment lists of items, numbered Synopsis:
\begin{enumerate}
  \item[optional label of first item] text of first item
  \item[optional label of second item] text of second item
  ...
\end{enumerate}
Environment to produce a numbered list of items. The format of the label numbering depends on the nesting level of this environment; see below. The default top-level numbering is 1., 2., etc. Each enumerate list environment must have at least one item; having none causes the &latex; error Something's wrong--perhaps a missing \item. This example gives the first two finishers in the 1908 Olympic marathon. As a top-level list the labels would come out as 1. and 2..
\begin{enumerate}
 \item Johnny Hayes (USA)
 \item Charles Hefferon (RSA) 
\end{enumerate}
\item Start list items with the \item command (\item). If you give \item an optional argument by following it with square brackets, as in \item[Interstitial label], then the next item will continue the interrupted sequence (\item). That is, you will get labels like 1., then Interstitial label, then 2.. Following the \item is optional text, which may contain multiple paragraphs. Enumerations may be nested within other enumerate environments, or within any paragraph-making environment such as itemize (itemize), up to four levels deep. This gives &latex;&textrsquo;s default for the format at each nesting level, where 1 is the top level, the outermost level. arabic number followed by a period: 1., 2., &dots; lowercase letter inside parentheses: (a), (b) &dots; lowercase roman numeral followed by a period: i., ii., &dots; uppercase letter followed by a period: A., B., &dots; \enumi \enumii \enumiii \enumiv enumerate enumi enumerate enumii enumerate enumiii enumerate enumiv The enumerate environment uses the counters \enumi through \enumiv (Counters). For other major &latex; labeled list environments, see description and itemize. For information about list layout parameters, including the default values, and for information about customizing list layout, see list. The package enumitem is useful for customizing lists. \labelenumi \labelenumii \labelenumiii \labelenumiv enumerate labelenumi enumerate labelenumii enumerate labelenumiii enumerate labelenumiv To change the format of the label use \renewcommand (\newcommand & \renewcommand) on the commands \labelenumi through \labelenumiv. For instance, this first level list will be labelled with uppercase letters, in boldface, and without a trailing period. \Alph example
\renewcommand{\labelenumi}{\textbf{\Alph{enumi}}}
\begin{enumerate}
  \item Shows as boldface A
  \item Shows as boldface B
\end{enumerate}
For a list of counter-labeling commands see \alph \Alph \arabic \roman \Roman \fnsymbol.
eqnarrayequationenumerateEnvironments
eqnarray environment, eqnarray eqnarray environment equations, aligning aligning equations align environment, from amsmath amsmath package, replacing eqnarray Madsen, Lars The eqnarray environment is obsolete. It has infelicities, including spacing that is inconsistent with other mathematics elements. (See &textldquo;Avoid eqnarray!&textrdquo;&noeos; by Lars Madsen http://tug.org/TUGboat/tb33-1/tb103madsen.pdf). New documents should include the amsmath package and use the displayed mathematics environments provided there, such as the align environment. We include a description only for completeness and for working with old documents. Synopsis:
\begin{eqnarray} 
  first formula left  &first formula middle  &first formula right \\
  ...
\end{eqnarray}
or
\begin{eqnarray*} 
  first formula left  &first formula middle  &first formula right \\
  ...
\end{eqnarray*}
\\ (for eqnarray) Display a sequence of equations or inequalities. The left and right sides are typeset in display mode, while the middle is typeset in text mode. It is similar to a three-column array environment, with items within a row separated by an ampersand (&), and with rows separated by double backslash  \\). \\* (for eqnarray) The starred form of line break (\\*) can also be used to separate equations, and will disallow a page break there (\\). \nonumber equation numbers, omitting The unstarred form eqnarray places an equation number on every line (using the equation counter), unless that line contains a \nonumber command. The starred form eqnarray* omits equation numbering, while otherwise being the same. \lefteqn The command \lefteqn is used for splitting long formulas across lines. It typesets its argument in display style flush left in a box of zero width. This example shows three lines. The first two lines make an inequality, while the third line has not entry on the left side.
\begin{eqnarray*}
  \lefteqn{x_1+x_2+\cdots+x_n}     \\
    &\leq &y_1+y_2+\cdots+y_n      \\
    &=    &z+y_3+\cdots+y_n
\end{eqnarray*}
equationfigureeqnarrayEnvironments
equation environment, equation equation environment equations, environment for formulas, environment for Synopsis:
\begin{equation}
  mathematical text
\end{equation}
The same as a displaymath environment (displaymath) except that &latex; puts an equation number flush to the right margin. The equation number is generated using the equation counter. You should have no blank lines between \begin{equation} and \begin{equation}, or &latex; will tell you that there is a missing dollar sign. package, amsmath amsmath package The package amsmath package has extensive displayed equation facilities. New documents should include this package.
figurefilecontentsequationEnvironments
figure environment, figure figure environment inserting figures figures, inserting Synopsis:
\begin{figure}[placement]
  figure body
  \caption[loftitle]{title}  % optional
  \label{label}              % optional
\end{figure}
or:
\begin{figure*}[placement]
  figure body
  \caption[loftitle]{title}  % optional
  \label{label}              % optional  
\end{figure*}
Figures are for material that is not part of the normal text. An example is material that you cannot have split between two pages, such as a graphic. Because of this, &latex; does not typeset figures in sequence with normal text but instead &textldquo;floats&textrdquo; them to a convenient place, such as the top of a following page (Floats). The figure body can consist of imported graphics (Graphics), or text, &latex; commands, etc. It is typeset in a parbox of width \textwidth. The possible values of placement are h for here, t for top, b for bottom, and p for on a separate page of floats. For the effect of these options on the float placement algorithm, see Floats. The starred form figure* is used when a document is in double-column mode (\twocolumn). It produces a figure that spans both columns, at the top of the page. To add the possibility of placing at a page bottom see the discussion of placement b in Floats. The label is optional; it is used for cross references (Cross references). \caption The optional \caption command specifies caption text for the figure. By default it is numbered. If loftitle is present, it is used in the list of figures instead of title (Table of contents etc.). This example makes a figure out of a graphic. &latex; will place that graphic and its caption at the top of a page or, if it is pushed to the end of the document, on a page of floats.
\usepackage{graphicx}  % in preamble
  ...
\begin{figure}[t]
  \centering
  \includegraphics[width=0.5\textwidth]{CTANlion.png}
  \caption{The CTAN lion, by Duane Bibby}
\end{figure}
filecontentsflushleftfigureEnvironments
filecontents: Write an external file environment, filecontents filecontents environment environment, filecontents* filecontents* environment external files, writing writing external files Synopsis:
\begin{filecontents}{filename}
  text
\end{filecontents}
or
\begin{filecontents*}{filename}
  text
\end{filecontents*}
Create a file named filename and fill it with text. The unstarred version of the environment filecontents prefixes the content of the created file with a header; see the example below. The starred version filecontents* does not include the header. This environment can be used anywhere in the preamble, although it often appears before the \documentclass command. It is typically used when a source file requires a nonstandard style or class file. The environment will write that file to the directory containing the source and thus make the source file self-contained. Another use is to include bib references in the file, again to make it self-contained. The environment checks whether a file of that name already exists and if so, does not do anything. There is a filecontents package that redefines the filecontents environment so that instead of doing nothing in that case, it will overwrite the existing file. For example, this document
\documentclass{article}
\begin{filecontents}{JH.sty}
\newcommand{\myname}{Jim Hef{}feron}
\end{filecontents}
\usepackage{JH}
\begin{document}
Article by \myname.
\end{document}
produces this file JH.sty.
%% LaTeX2e file `JH.sty'
%% generated by the `filecontents' environment
%% from source `test' on 2015/10/12.
%%
\newcommand{\myname}{Jim Hef{}feron}
flushleftflushrightfilecontentsEnvironments
flushleft environment, flushleft flushleft environment left-justifying text, environment for ragged right text, environment for Synopsis:
\begin{flushleft}
  line1 \\
  line2 \\
  ...
\end{flushleft}
\\ for flushleft An environment that creates a paragraph whose lines are flush to the left-hand margin, and ragged right. If you have lines that are too long then &latex; will linebreak them in a way that avoids hyphenation and stretching or shrinking spaces. To force a new line use a double backslash, \\. For the declaration form see \raggedright. This creates a box of text that is at most 3 inches wide, with the text flush left and ragged right.
\noindent\begin{minipage}{3in}
\begin{flushleft}
  A long sentence that will be broken by \LaTeX{}
    at a convenient spot. \\
  And, a fresh line forced by the double backslash.
\end{flushleft}
\end{minipage}
\raggedright
Declaration form of the flushleft environment.
\raggedrightflushleft \raggedright \raggedright ragged right text left-justifying text justification, ragged right Synopses:
{\raggedright  ... }
or
\begin{environment} \raggedright
  ...
\end{environment}
A declaration which causes lines to be flush to the left margin and ragged right. It can be used inside an environment such as quote or in a parbox. For the environment form see flushleft. Unlike the flushleft environment, the \raggedright command does not start a new paragraph; it only changes how &latex; formats paragraph units. To affect a paragraph unit&textrsquo;s format, the scope of the declaration must contain the blank line or \end command that ends the paragraph unit. Here \raggedright in each second column keeps &latex; from doing very awkward typesetting to fit the text into the narrow column. Note that \raggedright is inside the curly braces {...} to delimit its effect.
\begin{tabular}{rp{2in}}
  Team alpha  &{\raggedright This team does all the real work.} \\
  Team beta   &{\raggedright This team ensures that the water
                cooler is never empty.}                         \\
\end{tabular}
flushrightitemizeflushleftEnvironments
flushright environment, flushright flushright environment ragged left text, environment for right-justifying text, environment for
\begin{flushright}
  line1 \\
  line2 \\
  ...
\end{flushright}
\\ (for flushright) An environment that creates a paragraph whose lines are flush to the right-hand margin and ragged left. If you have lines that are too long to fit the margins then &latex; will linebreak them in a way that avoids hyphenation and stretching or shrinking spaces. To force a new line use a double backslash, \\. For the declaration form see \raggedleft. For an example related to this environment, see flushleft. \raggedleft
Declaration form of the flushright environment.
\raggedleftflushright \raggedleft \raggedleft ragged left text justification, ragged left right-justifying text Synopses:
{\raggedleft  ... }
or
\begin{environment} \raggedleft
  ...
\end{environment}
A declaration which causes lines to be flush to the right margin and ragged left. It can be used inside an environment such as quote or in a parbox. For the environment form see flushright. Unlike the flushright environment, the \raggedleft command does not start a new paragraph; it only changes how &latex; formats paragraph units. To affect a paragraph unit&textrsquo;s format, the scope of the declaration must contain the blank line or \end command that ends the paragraph unit. For an example related to this environment, see \raggedright.
itemizeletterflushrightEnvironments
itemize environment, itemize itemize environment \item lists of items unordered lists bulleted lists bullet lists Synopsis:
\begin{itemize}
  \item[optional label of first item] text of first item
  \item[optional label of second item] text of second item
  ...
\end{itemize}
Produce a list that is unordered, sometimes called a bullet list. The environment must have at least one \item; having none causes the &latex; error Something's wrong--perhaps a missing \item. This gives a two-item list.
\begin{itemize}
 \item Pencil and watercolor sketch by Cassandra
 \item Rice portrait 
\end{itemize}
As a top-level list each label would come out as a bullet, •. The format of the labeling depends on the nesting level; see below. \item Start list items with the \item command (\item). If you give \item an optional argument by following it with square brackets, as in \item[Optional label], then by default it will appear in bold and be flush right, so it could extend into the left margin. For labels that are flush left see the description environment. Following the \item is optional text, which may contain multiple paragraphs. \labelitemi \labelitemii \labelitemiii \labelitemiv itemize labelitemi itemize labelitemii itemize labelitemiii itemize labelitemiv Itemized lists can be nested within one another, up to four levels deep. They can also be nested within other paragraph-making environments, such as enumerate (enumerate). The itemize environment uses the commands \labelitemi through \labelitemiv to produce the default label (this also uses the convention of lowercase roman numerals at the end of the command names that signify the nesting level). These are the default marks at each level. • (bullet, from \textbullet) -- (bold en-dash, from \normalfont\bfseries\textendash) * (asterisk, from \textasteriskcentered) . (centered dot, rendered here as a period, from \textperiodcentered) Change the labels with \renewcommand. For instance, this makes the first level use diamonds.
\renewcommand{\labelitemi}{$\diamond$}
\leftmargin \leftmargini \leftmarginii \leftmarginiii \leftmarginiv \leftmarginv \leftmarginvi itemize leftmargin itemize leftmargini itemize leftmarginii itemize leftmarginiii itemize leftmarginiv itemize leftmarginv itemize leftmarginvi The distance between the left margin of the enclosing environment and the left margin of the itemize list is determined by the parameters \leftmargini through \leftmarginvi. (Note the convention of using lowercase roman numerals a the end of the command name to denote the nesting level.) The defaults are: 2.5em in level 1 (2em in two-column mode), 2.2em in level 2, 1.87em in level 3, and 1.7em in level 4, with smaller values for more deeply nested levels. For other major &latex; labeled list environments, see description and enumerate. For information about list layout parameters, including the default values, and for information about customizing list layout, see list. The package enumitem is useful for customizing lists. This example greatly reduces the margin space for outermost itemized lists.
\setlength{\leftmargini}{1.25em} % default 2.5em
\parskip example Especially for lists with short items, it may be desirable to elide space between items. Here is an example defining an itemize* environment with no extra spacing between items, or between paragraphs within a single item (\parskip is not list-specific, \parindent & \parskip):
\newenvironment{itemize*}%
  {\begin{itemize}%
    \setlength{\itemsep}{0pt}%
    \setlength{\parsep}{0pt}}%
    \setlength{\parskip}{0pt}}%
  {\end{itemize}}
letterlistitemizeEnvironments
letter environment: writing letters environment, letter letter environment This environment is used for creating letters. Letters.
listmathletterEnvironments
list environment, list list environment lists of items, generic Synopsis:
\begin{list}{labeling}{spacing}
  \item[optional label of first item] text of first item
  \item[optional label of second item] text of second item
  ...
\end{list}
An environment for constructing lists. Note that this environment does not typically appear in the document body. Most lists created by &latex; authors are the ones that come standard: the description, enumerate, and itemize environments (description, enumerate, and itemize). Instead, the list environment is most often used in macros. For example, many standard &latex; environments that do not immediately appear to be lists are in fact constructed using list, including quotation, quote, and center (quotation & quote, center). This uses the list environment to define a new custom environment.
\newcounter{namedlistcounter}  % number the items
\newenvironment{named}
  {\begin{list}
     {Item~\Roman{namedlistcounter}.} % labeling 
     {\usecounter{namedlistcounter}   % set counter
      \setlength{\leftmargin}{3.5em}} % set spacing 
  }
  {\end{list}}

\begin{named}
  \item Shows as ``Item~I.''
  \item[Special label.] Shows as ``Special label.''
  \item Shows as ``Item~II.''
\end{named}
The mandatory first argument labeling specifies the default labeling of list items. It can contain text and &latex; commands, as above where it contains both Item and \Roman{...}. &latex; forms the label by putting the labeling argument in a box of width \labelwidth. If the label is wider than that, the additional material extends to the right. When making an instance of a list you can override the default labeling by giving \item an optional argument by including square braces and the text, as in the above \item[Special label.]; \item. The mandatory second argument spacing has a list of commands. This list can be empty. A command that can go in here is \usecounter{countername} (\usecounter). Use this to tell &latex; to number the items using the given counter. The counter will be reset to zero each time &latex; enters the environment, and the counter is incremented by one each time &latex; encounters an \item that does not have an optional argument. \makelabel list makelabel Another command that can go in spacing is \makelabel, which constructs the label box. By default it puts the contents flush right. Its only argument is the label, which it typesets in LR mode (Modes). One example of changing its definition is that to the above named example, before the definition of the environment add \newcommand{\namedmakelabel}[1]{\textsc{#1}}, and between the \setlength command and the parenthesis that closes the spacing argument also add \let\makelabel\namedmakelabel. Then the items will be typeset in small caps. Similarly, changing the second code line to \let\makelabel\fbox puts the labels inside a framed box. Another example of the \makelabel command is below, in the definition of the redlabel environment. Also often in spacing are commands to redefine the spacing for the list. Below are the spacing parameters with their default values. (Default values for derived environments such as itemize can be different than the values shown here.) See also the figure that follows the list. Each is a length (Lengths). The vertical spaces are normally rubber lengths, with plus and minus components, to give &tex; flexibility in setting the page. Change each with a command such as \setlength{itemsep}{2pt plus1pt minus1pt}. For some effects these lengths should be zero or negative. \itemindent\itemindent list itemindent Extra horizontal space indentation, beyond leftmargin, of the first line each item. Its default value is 0pt. \itemsep\itemsep list itemsep Vertical space between items, beyond the \parsep. The defaults for the first three levels in &latex;&textrsquo;s article, book, and report classes at 10 point size are: 4pt plus2pt minus1pt, \parsep (that is, 2pt plus1pt minus1pt), and \topsep (that is, 2pt plus1pt minus1pt). The defaults at 11 point are: 4.5pt plus2pt minus1pt, \parsep (that is, 2pt plus1pt minus1pt), and topsep (that is, 2pt plus1pt minus1pt). The defaults at 12 point are: 5pt plus2.5pt minus1pt, \parsep (that is, 2.5pt plus1pt minus1pt), and \topsep (that is, 2.5pt plus1pt minus1pt). \labelsep\labelsep list labelsep Horizontal space between the label and text of an item. The default for &latex;&textrsquo;s article, book, and report classes is 0.5em. \labelwidth\labelwidth list labelwidth Horizontal width. The box containing the label is nominally this wide. If \makelabel returns text that is wider than this then the first line of the item will be indented to make room for this extra material. If \makelabel returns text of width less than or equal to \labelwidth then &latex;&textrsquo;s default is that the label is typeset flush right in a box of this width. The left edge of the label box is \leftmargin+\itemindent-\labelsep-\labelwidth from the left margin of the enclosing environment. The default for &latex;&textrsquo;s article, book, and report classes at the top level is \leftmargini-\labelsep, (which is 2em in one column mode and 1.5em in two column mode). At the second level it is \leftmarginii-\labelsep, and at the third level it is \leftmarginiii-\labelsep. These definitions make the label&textrsquo;s left edge coincide with the left margin of the enclosing environment. \leftmargin\leftmargin list leftmargin Horizontal space between the left margin of the enclosing environment (or the left margin of the page if this is a top-level list), and the left margin of this list. It must be non-negative. In the standard &latex; document classes, a top-level list has this set to the value of \leftmargini, while a list that is nested inside a top-level list has this margin set to \leftmarginii. More deeply nested lists get the values of \leftmarginiii through \leftmarginvi. (Nesting greater than level five generates the error message Too deeply nested.) The defaults for the first three levels in &latex;&textrsquo;s article, book, and report classes are: \leftmargini is 2.5em (in two column mode, 2em), \leftmarginii is 2.2em, and \leftmarginiii is 1.87em. \listparindent\listparindent list listparindent Horizontal space of additional line indentation, beyond \leftmargin, for second and subsequent paragraphs within a list item. A negative value makes this an &textldquo;outdent&textrdquo;. Its default value is 0pt. \parsep\parsep list parsep Vertical space between paragraphs within an item. In the book and article classes The defaults for the first three levels in &latex;&textrsquo;s article, book, and report classes at 10 point size are: 4pt plus2pt minus1pt, 2pt plus1pt minus1pt, and 0pt. The defaults at 11 point size are: 4.5pt plus2pt minus1pt, 2pt plus1pt minus1pt, and 0pt. The defaults at 12 point size are: 5pt plus2.5pt minus1pt, 2.5pt plus1pt minus1pt, and 0pt. \partopsep\partopsep list partopsep Vertical space added, beyond \topsep+\parskip, to the top and bottom of the entire environment if the list instance is preceded by a blank line. (A blank line in the &latex; source before the list changes spacing at both the top and bottom of the list; whether the line following the list is blank does not matter.) The defaults for the first three levels in &latex;&textrsquo;s article, book, and report classes at 10 point size are: 2pt plus1 minus1pt, 2pt plus1pt minus1pt, and 1pt plus0pt minus1pt. The defaults at 11 point are: 3pt plus1pt minus1pt, 3pt plus1pt minus1pt, and 1pt plus0pt minus1pt). The defaults at 12 point are: 3pt plus2pt minus3pt, 3pt plus2pt minus2pt, and 1pt plus0pt minus1pt. \rightmargin\rightmargin list rightmargin Horizontal space between the right margin of the list and the right margin of the enclosing environment. Its default value is 0pt. It must be non-negative. \topsep\topsep list topsep Vertical space added to both the top and bottom of the list, in addition to \parskip (\parindent & \parskip). The defaults for the first three levels in &latex;&textrsquo;s article, book, and report classes at 10 point size are: 8pt plus2pt minus4pt, 4pt plus2pt minus1pt, and 2pt plus1pt minus1pt. The defaults at 11 point are: 9pt plus3pt minus5pt, 4.5pt plus2pt minus1pt, and 2pt plus1pt minus1pt. The defaults at 12 point are: 10pt plus4pt minus6pt, 5pt plus2.5pt minus1pt, and 2.5pt plus1pt minus1pt. This shows the horizontal and vertical distances. latex2e-figures/list3.21in.png The lengths shown are listed below. The key relationship is that the right edge of the bracket for h1 equals the right edge of the bracket for h4, so that the left edge of the label box is at h3+h4-(h0+h1). v0 &backslash;topsep + &backslash;parskip if the list environment does not start a new paragraph, and \topsep+\parskip+\partopsep if it does v1 \parsep v2 \itemsep+\parsep v3 Same as v0. (This space is affected by whether a blank line appears in the source above the environment; whether a blank line appears in the source below the environment does not matter.) h0 \labelwidth h1 \labelsep h2 \listparindent h3 \leftmargin h4 \itemindent h5 \rightmargin
The list&textrsquo;s left and right margins, shown above as h3 and h5, are with respect to the ones provided by the surrounding environment, or with respect to the page margins for a top-level list. The line width used for typesetting the list items is \linewidth (Page layout parameters). For instance, set the list&textrsquo;s left margin to be one quarter of the distance between the left and right margins of the enclosing environment with \setlength{\leftmargin}{0.25\linewidth}. Page breaking in a list structure is controlled by the three parameters below. For each, the &latex; default is -\&arobase;lowpenalty, that is, -51. Because it is negative, it somewhat encourages a page break at each spot. Change it with, e.g., \&arobase;beginparpenalty=9999; a value of 10000 prohibits a page break. \&arobase;beginparpenalty\&arobase;beginparpenalty list beginparpenalty The page breaking penalty for breaking before the list (default -51). \&arobase;itempenalty\&arobase;itempenalty list itempenalty The page breaking penalty for breaking before a list item (default -51). \&arobase;endparpenalty\&arobase;endparpenalty list endparpenalty The page breaking penalty for breaking after a list (default -51). package, enumitem enumitem package The package enumitem is useful for customizing lists. This example has the labels in red. They are numbered, and the left edge of the label lines up with the left edge of the item text. \usecounter.
\usepackage{color}
\newcounter{cnt}  
\newcommand{\makeredlabel}[1]{\textcolor{red}{#1.}}
\newenvironment{redlabel}
  {\begin{list}
    {\arabic{cnt}}
    {\usecounter{cnt}
     \setlength{\labelwidth}{0em}
     \setlength{\labelsep}{0.5em}
     \setlength{\leftmargin}{1.5em}
     \setlength{\itemindent}{0.5em} % equals \labelwidth+\labelsep
     \let\makelabel=\makeredlabel
    }
  }
{\end{list} }
\item
An entry in a list.
trivlist
A restricted form of list.
\itemtrivlistlist \item: An entry in a list Synopsis:
\item text of item
or
\item[optional-label] text of item
An entry in a list. The entries are prefixed by a label, whose default depends on the list type. Because the optional label is surrounded by square brackets [...], if you have an item whose text starts with [, you have to hide the bracket inside curly braces, as in: \item {[} is an open square bracket; otherwise, &latex; will think it marks the start of an optional label. Similarly, if the item does have the optional label and you need a close square bracket inside that label, you must hide it in the same way: \item[Close square bracket, {]}]. &latex; command syntax. In this example the enumerate list has two items that use the default label and one that uses the optional label.
\begin{enumerate}
  \item Moe
  \item[sometimes] Shemp
  \item Larry
\end{enumerate}
The first item is labelled 1., the second item is labelled sometimes, and the third item is labelled 2.. Because of the optional label in the second item, the third item is not labelled 3..
trivlist\itemlist trivlist: A restricted form of list Synopsis:
\begin{trivlist}
  ...
\end{trivlist}
A restricted version of the list environment, in which margins are not indented and an \item without an optional argument produces no text. It is most often used in macros, to define an environment where the \item command as part of the environment&textrsquo;s definition. For instance, the center environment is defined essentially like this:
\newenvironment{center}
  {\begin{trivlist}\centering\item\relax}
  {\end{trivlist}}
Using trivlist in this way allows the macro to inherit some common code: combining vertical space of two adjacent environments; detecting whether the text following the environment should be considered a new paragraph or a continuation of the previous one; adjusting the left and right margins for possible nested list environments. Specifically, trivlist uses the current values of the list parameters (list), except that \parsep is set to the value of \parskip, and \leftmargin, \labelwidth, and \itemindent are set to zero. This example outputs the items as two paragraphs, except that (by default) they have no paragraph indent and are vertically separated.
\begin{trivlist}
\item The \textit{Surprise} is not old; no one would call her old.
\item She has a bluff bow, lovely lines.
\end{trivlist}
mathminipagelistEnvironments
math environment, math math environment in-line formulas Synopsis:
\begin{math}
math
\end{math}
The math environment inserts given math material within the running text. \(...\) and $...$ are synonyms. Math formulas.
minipagepicturemathEnvironments
minipage environment, minipage minipage environment minipage, creating a Synopses:
\begin{minipage}{width}
  contents
\end{minipage}
or
\begin{minipage}[position][height][inner-pos]{width}
  contents
\end{minipage}
Put contents into a box that is width wide. This is like a small version of a page; it can contain its own footnotes, itemized lists, etc. (There are some restrictions, including that it cannot have floats.) This box will not be broken across pages. So minipage is similar to \parbox (\parbox) but here you can have paragraphs. This example will be 3 inches wide, and has two paragraphs.
\begin{minipage}{3in}
  Stephen Kleene was a founder of the Theory of Computation.

  He was a student of Church, wrote three influential texts,
  was President of the Association for Symbolic Logic,
  and won the National Medal of Science.
\end{minipage}
See below for a discussion of the paragraph indent inside a minipage. The required argument width is a rigid length (Lengths). It gives the width of the box into which contents are typeset. There are three optional arguments, position, height, and inner-pos. You need not include all three. For example, get the default position and set the height with \begin{minipage}[c][2.54cm] contents \end{minipage}. (Get the natural height with an empty argument, [].) The optional argument position governs how the minipage vertically aligns with the surrounding material. c (synonym m) Default. Positions the minipage so its vertical center lines up with the center of the adjacent text line (what Plain &tex; calls \vcenter). t Match the top line in the minipage with the baseline of the surrounding text (Plain &tex;&textrsquo;s \vtop. b Match the bottom line in the minipage with the baseline of the surrounding text (Plain &tex;&textrsquo;s \vbox.
To see the effects of these, contrast running this
---\begin{minipage}[c]{0.25in}
  first\\ second\\ third
\end{minipage}
with the results of changing c to b or t. The optional argument height is a rigid length (Lengths). It sets the height of the minipage. You can enter any value larger than, or equal to, or smaller than the minipage&textrsquo;s natural height and &latex; will not give an error or warning. You can also set it to a height of zero or a negative value. The final optional argument inner-pos controls the placement of content inside the box. These are the possible values are (the default is the value of position). t Place content at the top of the box. c Place it in the vertical center. b Place it at the box bottom. s Stretch contents out vertically; it must contain vertically stretchable space.
The inner-pos argument makes sense when the height option is set to a value larger than the minipage&textrsquo;s natural height. To see the effect of the options, run this example with the various choices in place of b.
Text before
\begin{center}
  ---\begin{minipage}[c][3in][b]{0.25\textwidth}
       first\\ second\\ third
  \end{minipage}              
\end{center}
Text after  
indentation of paragraphs, in minipage paragraph indentation, in minipage \parindent By default paragraphs are not indented in a minipage. Change that with a command such as \setlength{\parindent}{1pc} at the start of contents. footnotes in figures figures, footnotes in Footnotes in a minipage environment are handled in a way that is particularly useful for putting footnotes in figures or tables. A \footnote or \footnotetext command puts the footnote at the bottom of the minipage instead of at the bottom of the page, and it uses the \mpfootnote counter instead of the ordinary footnote counter (Counters). This puts the footnote at the bottom of the table, not the bottom of the page.
\begin{center}           % center the minipage on the line
\begin{minipage}{2.5in}
  \begin{center}         % center the table inside the minipage
    \begin{tabular}{ll}
      \textsc{Monarch}  &\textsc{Reign}             \\ \hline
      Elizabeth II      &63 years\footnote{to date} \\
      Victoria          &63 years                   \\
      George III        &59 years
    \end{tabular}
  \end{center}  
\end{minipage}
\end{center}
If you nest minipages then there is an oddness when using footnotes. Footnotes appear at the bottom of the text ended by the next \end{minipage} which may not be their logical place. This puts a table containing data side by side with a map graphic. They are vertically centered.
\newcommand*{\vcenteredhbox}[1]{\begin{tabular}{&arobase;{}c&arobase;{}}#1\end{tabular}}
  ...
\begin{center}
  \vcenteredhbox{\includegraphics[width=0.3\textwidth]{nyc.png}}
  \hspace{0.1\textwidth}
  \begin{minipage}{0.5\textwidth}
    \begin{tabular}{r|l}
      \multicolumn{1}{r}{Borough} &Pop (million)  \\ \hline
      The Bronx      &$1.5$  \\
      Brooklyn       &$2.6$  \\
      Manhattan      &$1.6$  \\
      Queens         &$2.3$  \\
      Staten Island  &$0.5$  
    \end{tabular}
  \end{minipage}              
\end{center}
picturequotation & quoteminipageEnvironments
picture environment, picture picture environment creating pictures pictures, creating Synopses:
\begin{picture}(width,height)
   picture commands 
\end{picture}
or
\begin{picture}(width,height)(xoffset,yoffset)
  picture commands
\end{picture}
An environment to create simple pictures containing lines, arrows, boxes, circles, and text. Note that while this environment is not obsolete, new documents typically use much more powerful graphics creation systems, such as TikZ, PSTricks, MetaPost, or Asymptote. These are not covered in this document; see CTAN. This shows the parallelogram law for adding vectors. \unitlength
\setlength{\unitlength}{1cm}
\begin{picture}(6,6)      % picture box will be 6cm wide by 6cm tall
  \put(0,0){\vector(2,1){4}}  % for every 2 over this vector goes 1 up
    \put(2,1){\makebox(0,0)[l]{\ first leg}}
  \put(4,2){\vector(1,2){2}}
    \put(5,4){\makebox(0,0)[l]{\ second leg}}  
  \put(0,0){\line(1,1){6}}
    \put(3,3){\makebox(0,0)[r]{sum\ }}  
\end{picture}
You can also use this environment to place arbitrary material at an exact location.
\usepackage{color,graphicx}  % in preamble
  ...
\begin{center}
\setlength{\unitlength}{\textwidth} 
\begin{picture}(1,1)      % leave space, \textwidth wide and tall
  \put(0,0){\includegraphics[width=\textwidth]{desertedisland.jpg}}
  \put(0.25,0.35){\textcolor{red}{X Treasure here}}
\end{picture}
\end{center}
The red X will be precisely a quarter of the \linewidth from the left margin, and 0.35\linewidth up from the bottom. Another example of this usage is to put similar code in the page header to get repeat material on each of a document&textrsquo;s pages. The picture environment has one required argument, a pair of numbers (width,height). Multiply these by the value \unitlength to get the nominal size of the output, the space that &latex; reserves on the output page. This nominal size need not be how large the picture really is; &latex; will draw things from the picture outside the picture&textrsquo;s box. This environment also has an optional argument (xoffset,yoffset). It is used to shift the origin. Unlike most optional arguments, this one is not contained in square brackets. As with the required argument, it consists of two real numbers. Multiply these by \unitlength to get the point at the lower-left corner of the picture. For example, if \unitlength has been set to 1mm, the command
\begin{picture}(100,200)(10,20)
produces a box of width 100 millimeters and height 200 millimeters. The picture&textrsquo;s origin is the point (10mm,20mm) and so the lower-left corner is there, and the upper-right corner is at (110mm,220mm). When you first draw a picture you typically omit the optional argument, leaving the origin at the lower-left corner. If you then want to modify your picture by shifting everything, you can just add the appropriate optional argument. position, in picture Each picture command tells &latex; where to put something by naming its position. A position is a pair such as (2.4,-5) giving the x- and y-coordinates. A coordinate is a not a length, it is a real number (it may have a decimal point or a minus sign). It specifies a length in multiples of the unit length \unitlength, so if \unitlength has been set to 1cm, then the coordinate 2.54 specifies a length of 2.54 centimeters. &latex;&textrsquo;s default for \unitlength is 1pt. it is a rigid length (Lengths). Change it with the \setlength command (\setlength). Make this change only outside of a picture environment. Coordinates are given with respect to an origin, which is normally at the lower-left corner of the picture. Note that when a position appears as an argument, as with \put(1,2){...}, it is not enclosed in braces since the parentheses serve to delimit the argument. Also, unlike in some computer graphics systems, larger y-coordinates are further up the page. There are four ways to put things in a picture: \put, \multiput, \qbezier, and \graphpaper. The most often used is \put. This
\put(11.3,-0.3){...}
places the object with its reference point at coordinates (11.3,-0.3). The reference points for various objects will be described below. LR box The \put command creates an LR box (Modes). Anything that can go in an \mbox (\mbox & \makebox) can go in the text argument of the \put command. The reference point will be the lower left corner of the box. In this picture
\setlength{\unitlength}{1cm}
...\begin{picture}(1,1)
  \put(0,0){\line(1,0){1}}
  \put(0,0){\line(1,1){1}}
\end{picture}
the three dots are just slightly left of the point of the angle formed by the two lines. (Also, \line(1,1){1} does not call for a line of length one; rather the line has a change in the x coordinate of 1.) The \multiput, qbezier, and graphpaper commands are described below. This draws a rectangle with a wavy top, using \qbezier for that curve.
\begin{picture}(3,1.5)
  \put(0,0){\vector(1,0){8}}  % x axis
  \put(0,0){\vector(0,1){4}}  % y axis
  \put(2,0){\line(0,1){3}}       % left side rectangle
  \put(4,0){\line(0,1){3.5}}     % right side
  \qbezier(2,3)(2.5,2.9)(3,3.25)
    \qbezier(3,3.25)(3.5,3.6)(4,3.5)
  \thicklines                 % below here, lines are twice as thick
  \put(2,3){\line(4,1){2}}
  \put(4.5,2.5){\framebox{Trapezoidal Rule}}
\end{picture}
\put
Place an object at a specified place.
\multiput
Draw multiple instances of an object.
\qbezier
Draw a quadratic Bezier curve.
\graphpaper
Draw graph paper.
\line
Draw a straight line.
\linethickness
Set thickness of horizontal and vertical lines.
\thinlines
The default line thickness.
\thicklines
A heavier line thickness.
\circle
Draw a circle.
\oval
Draw an oval.
\shortstack
Make a stack of objects.
\vector
Draw a line with an arrow.
\makebox (picture)
Draw a box of the specified size.
\framebox (picture)
Draw a box with a frame around it.
\frame
Draw a frame around an object.
\dashbox
Draw a dashed box.
\put\multiputpicture \put \put Synopsis:
\put(xcoord,ycoord){content}
Place content at the coordinate (xcoord,ycoord). See the discussion of coordinates and \unitlength in picture. The content is processed in LR mode (Modes) so it cannot contain line breaks. This includes the text into the picture.
\put(4.5,2.5){Apply the \textit{unpoke} move}
The reference point, the location (4.5,2.5), is the lower left of the text, at the bottom left of the A.
\multiput\qbezier\putpicture \multiput \multiput Synopsis:
\multiput(x,y)(delta_x,delta_y){num-copies}{obj}
Copy obj a total of num-copies times, with an increment of delta_x,delta_y. The obj first appears at position (x,y), then at (x+\delta_x,y+\delta_y), and so on. This draws a simple grid with every fifth line in bold (see also \graphpaper).
\begin{picture}(10,10)
  \linethickness{0.05mm}
  \multiput(0,0)(1,0){10}{\line(0,1){10}} 
  \multiput(0,0)(0,1){10}{\line(1,0){10}}
  \linethickness{0.5mm}
  \multiput(0,0)(5,0){3}{\line(0,1){10}}
  \multiput(0,0)(0,5){3}{\line(1,0){10}}
\end{picture}
\qbezier\graphpaper\multiputpicture \qbezier \qbezier Synopsis:
\qbezier(x1,y1)(x2,y2)(x3,y3)
\qbezier[num](x1,y1)(x2,y2)(x3,y3)
Draw a quadratic Bezier curve whose control points are given by the three required arguments (x1,y1), (x2,y2), and (x3,y3). That is, the curve runs from (x1,y1) to (x3,y3), is quadratic, and is such that the tangent line at (x1,y1) passes through (x2,y2), as does the tangent line at (x3,y3). This draws a curve from the coordinate (1,1) to (1,0).
\qbezier(1,1)(1.25,0.75)(1,0)  
The curve&textrsquo;s tangent line at (1,1) contains (1.25,0.75), as does the curve&textrsquo;s tangent line at (1,0). The optional argument num gives the number of calculated intermediate points. The default is to draw a smooth curve whose maximum number of points is \qbeziermax (change this value with \renewcommand).
\graphpaper\line\qbezierpicture \graphpaper \graphpaper Synopsis:
\graphpaper(x_init,y_init)(x_dimen,y_dimen)
\graphpaper[spacing](x_init,y_init)(x_dimen,y_dimen)
Draw a coordinate grid. Requires the graphpap package. The grid&textrsquo;s origin is (x_init,y_init). Grid lines come every spacing units (the default is 10). The grid extends x_dimen units to the right and y_dimen units up. All arguments must be positive integers. This make a grid with seven vertical lines and eleven horizontal lines.
\usepackage{graphpap}    % in preamble
  ...
\begin{picture}(6,20)    % in document body
  \graphpaper[2](0,0)(12,20)
\end{picture}
The lines are numbered every ten units.
\line\linethickness\graphpaperpicture \line \line Synopsis:
\line(x_run,y_rise){travel}
Draw a line. It slopes such that it vertically rises y_rise for every horizontal x_run. The travel is the total horizontal change &textmdash; it is not the length of the vector, it is the change in x. In the special case of vertical lines, where (x_run,y_rise)=(0,1), the travel gives the change in y. This draws a line starting at coordinates (1,3).
\put(1,3){\line(2,5){4}}
For every over 2, this line will go up 5. Because travel specifies that this goes over 4, it must go up 10. Thus its endpoint is (1,3)+(4,10)=(5,13). In particular, note that travel=4 is not the length of the line, it is the change in x. The arguments x_run and y_rise are integers that can be positive, negative, or zero. (If both are 0 then &latex; treats the second as 1.) With \put(x_init,y_init){\line(x_run,y_rise){travel}}, if x_run is negative then the line&textrsquo;s ending point has a first coordinate that is less than x_init. If y_rise is negative then the line&textrsquo;s ending point has a second coordinate that is less than y_init. If travel is negative then you get LaTeX Error: Bad \line or \vector argument. pict2e package graphics packages package, pict2e pict2e package package, TikZ TikZ package package, PSTricks PSTricks package package, MetaPost MetaPost package package, Asymptote Asymptote package Standard &latex; can only draw lines with a limited range of slopes because these lines are made by putting together line segments from pre-made fonts. The two numbers x_run and y_rise must have integer values from −6 through 6. Also, they must be relatively prime, so that (x_run,y_rise) can be (2,1) but not (4,2) (if you choose the latter then instead of lines you get sequences of arrowheads; the solution is to switch to the former). To get lines of arbitrary slope and plenty of other shapes in a system like picture, see the package pict2e on CTAN. Another solution is to use a full-featured graphics system such as TikZ, or PSTricks, or MetaPost, or Asymptote
\linethickness\thinlines\linepicture \linethickness \linethickness Synopsis:
\linethickness{dim}
Declares the thickness of subsequent horizontal and vertical lines in a picture to be dim, which must be a positive length (Lengths). It differs from \thinlines and \thicklines in that it does not affect the thickness of slanted lines, circles, or ovals.
\thinlines\thicklines\linethicknesspicture \thinlines \thinlines Declaration to set the thickness of subsequent lines, circles, and ovals in a picture environment to be 0.4pt. This is the default thickness, so this command is unnecessary unless the thickness has been changed with either \linethickness or \thicklines. \thicklines\circle\thinlinespicture \thicklines \thicklines Declaration to set the thickness of subsequent lines, circles, and ovals in a picture environment to be 0.8pt. See also \linethickness and \thinlines. This command is illustrated in the Trapezoidal Rule example of picture. \circle\oval\thicklinespicture \circle \circle Synopsis:
\circle{diameter}
\circle*{diameter}
Produces a circle with a diameter as close as possible to the specified one. The * form produces a filled-in circle. This draws a circle of radius 6, centered at (5,7).
\put(5,7){\circle{6}}
The available radii for circle are, in points, the even numbers from 2 to 20, inclusive. For circle* they are all the integers from 1 to 15.
\oval\shortstack\circlepicture \oval \oval Synopsis:
\oval(width,height)
\oval(width,height)[portion]
Produce a rectangle with rounded corners. The optional argument portion allows you to produce only half or a quarter of the oval. For half an oval take portion to be one of these. t top half b bottom half r right half l left half
Produce only one quarter of the oval by setting portion to tr, br, bl, or tl. This draws the top half of an oval that is 3 wide and 7 tall.
\put(5,7){\oval(3,7)[t]}
The (5,7) is the center of the entire oval, not just the center of the top half. These shapes are not ellipses. They are rectangles whose corners are made with quarter circles. These circles have a maximum radius of 20pt (\circle for the sizes). Thus large ovals are just boxes with a small amount of corner rounding.
\shortstack\vector\ovalpicture \shortstack \shortstack Synopsis:
\shortstack[position]{line 1 \\ ... }
Produce a vertical stack of objects. This labels the y axis.
\put(0,0){\vector(1,0){4}}   % x axis
\put(0,0){\vector(0,1){2}}   % y
\put(-0.25,2){\makebox[0][r]{\shortstack[r]{$y$\\ axis}}}
For a short stack, the reference point is the lower left of the stack. In the above example the \mbox & \makebox puts the stack flush right in a zero width box so in total the short stack sits slightly to the left of the y axis. The valid positions are: r Make objects flush right l Make objects flush left c Center objects (default)
\\ (for \shortstack objects) Separate objects into lines with \\. These stacks are short in that, unlike in a tabular or array environment, here the rows are not spaced out to be of even heights. Thus, in \shortstack{X\\o\\o\\X} the first and last rows are taller than the middle two. You can adjust row heights either by putting in the usual interline spacing with \shortstack{X\\ \strut o\\o\\X}, or by hand, via an explicit zero-width box \shortstack{X \\ \rule{0pt}{12pt} o\\o\\X} or by using \\&textrsquo;s optional argument \shortstack{X\\[2pt] o\\o\\X}. The \shortstack command is also available outside the picture environment.
\vector\makebox (picture)\shortstackpicture \vector \vector Synopsis:
\vector(x_run,y_rise){travel}
Draw a line ending in an arrow. The slope of that line is: it vertically rises y_rise for every horizontal x_run. The travel is the total horizontal change &textmdash; it is not the length of the vector, it is the change in x. In the special case of vertical vectors, if (x_run,y_rise)=(0,1), then travel gives the change in y. For an example see picture. For elaboration on x_run and y_rise see \line. As there, the values of x_run and y_rise are limited. For \vector you must chooses integers between −4 and 4, inclusive. Also, the two you choose must be relatively prime. Thus, \vector(2,1){4} is acceptable but \vector(4,2){4} is not (if you use the latter then you get a sequence of arrowheads).
\makebox (picture)\framebox (picture)\vectorpicture \makebox (picture) \makebox (for picture) Synopsis:
\makebox(rec-width,rec-height){text}
\makebox(rec-width,rec-height)[position]{text}
Make a box to hold text. This command fits with the picture environment, although you can use it outside of there, because rec-width and rec-height are numbers specifying distances in terms of the \unitlength (picture). This command is similar to the normal \makebox command (\mbox & \makebox) except here that you must specify the width and height. This command is fragile (\protect). This makes a box of length 3.5 times \unitlength and height 4 times \unitlength.
\put(1,2){\makebox(3.5,4){...}}
The optional argument position specifies where in the box the text appears. The default is to center it, both horizontally and vertically. To place it somewhere else, use a string with one or two of these letters. t Puts text the top of the box. b Put text at the bottom. l Put text on the left. r Put text on the right.
\framebox (picture)\frame\makebox (picture)picture \framebox (picture) \framebox Synopsis:
\framebox(rec-width,rec-height){text}
\framebox(rec-width,rec-height)[position]{text}
This is the same as \makebox (picture) except that it puts a frame around the outside of the box that it creates. The reference point is the bottom left corner of the frame. This command fits with the picture environment, although you can use it outside of there, because lengths are numbers specifying the distance in terms of the \unitlength (picture). This command is fragile (\protect). This example creates a frame 2.5 inches by 3 inches and puts the text in the center.
\setlength{\unitlength}{1in}
\framebox(2.5,3){test text}
The required arguments are that the rectangle has overall width rect-width units and height rect-height units. The optional argument position specifies the position of text; see \makebox (picture) for the values that it can take. \fboxrule \fboxsep The rule has thickness \fboxrule and there is a blank space \fboxsep between the frame and the contents of the box. For this command, you must specify the width and height. If you want to just put a frame around some contents whose dimension is determined in some other way then either use \fbox (\fbox & \framebox) or \frame (\frame).
\frame\dashbox\framebox (picture)picture \frame \frame Synopsis:
\frame{contents}
Puts a rectangular frame around contents. The reference point is the bottom left corner of the frame. In contrast to \framebox (\framebox (picture)), this command puts no extra space is put between the frame and the object. It is fragile (\protect).
\dashbox\framepicture \dashbox \dashbox Synopsis:
\dashbox{dash-len}(rect-width,rect-height){text}
\dashbox{dash-len}(rect-width,rect-height)[position]{text}
Create a dashed rectangle around text. This command fits with the picture environment, although you can use it outside of there, because lengths are numbers specifying the distance in terms of the \unitlength (picture). The required arguments are: dashes are dash-len units long, with the same length gap, and the rectangle has overall width rect-width units and height rect-height units. The optional argument position specifies the position of text; see \makebox (picture) for the values that it can take. This shows that you can use non-integer value for dash-len.
\put(0,0){\dashbox{0.1}(5,0.5){My hovercraft is full of eels.}}
Each dash will be 0.1\unitlength long, the box&textrsquo;s width is 5\unitlength and its height is 0.5\unitlength. As in that example, a dashed box looks best when rect-width and rect-height are multiples of the dash-len.
quotation & quotetabbingpictureEnvironments
quotation & quote environment, quotation quotation environment quoted text with paragraph indentation, displaying displaying quoted text with paragraph indentation paragraph indentations in quoted text environment, quote quote environment quoted text without paragraph indentation, displaying displaying quoted text without paragraph indentation paragraph indentations in quoted text, omitting Synopsis:
\begin{quotation}
  text
\end{quotation}
or
\begin{quote}
  text
\end{quote}
Include a quotation. Both environments indent margins on both sides by \leftmargin and the text is right-justified. They differ in how they treat paragraphs. In the quotation environment, paragraphs are indented by 1.5em and the space between paragraphs is small, 0pt plus 1pt. In the quote environment, paragraphs are not indented and there is vertical space between paragraphs (it is the rubber length \parsep).
\begin{quotation} \small\it
  Four score and seven years ago
  ... shall not perish from the earth.
  \hspace{1em plus 1fill}---Abraham Lincoln
\end{quotation}
tabbingtablequotation & quoteEnvironments
tabbing environment, tabbing tabbing environment tab stops, using lining text up using tab stops alignment via tabbing Synopsis:
\begin{tabbing}
row1col1 \= row1col2 ...  \\
row2col1 \> row2col2 ...  \\
...
\end{tabbing}
Align text in columns, by setting tab stops and tabbing to them much as was done on a typewriter. This is less often used than the environments tabular (tabular) or array (array) because in those the width of each column need not be constant and need not be known in advance. This example has a first line where the tab stops are set to explicit widths, ended by a \kill command (which is described below):
\begin{tabbing}
\hspace{0.75in}     \= \hspace{0.40in}  \= \hspace{0.40in}    \kill
Ship                \> Guns             \> Year    \\ 
\textit{Sophie}     \> 14               \> 1800    \\
\textit{Polychrest} \> 24               \> 1803    \\
\textit{Lively}     \> 38               \> 1804    \\
\textit{Surprise}   \> 28               \> 1805    \\
\end{tabbing}
Both the tabbing environment and the more widely-used tabular environment put text in columns. The most important distinction is that in tabular the width of columns is determined automatically by &latex;, while in tabbing the user sets the tab stops. Another distinction is that tabular generates a box, but tabbing can be broken across pages. Finally, while tabular can be used in any mode, tabbing can be used only in paragraph mode and it starts a new paragraph. A tabbing environment always starts a new paragraph, without indentation. Moreover, as shown in the example above, there is no need to use the starred form of the \hspace command at the beginning of a tabbed row. The right margin of the tabbing environment is the end of line, so that the width of the environment is \linewidth. row, tabbing The tabbing environment contains a sequence of tabbed rows. The first tabbed row begins immediately after \begin{tabbing} and each row ends with \\ or \kill. The last row may omit the \\ and end with just \end{tabbing}. At any point the tabbing environment has a current tab stop pattern, a sequence of n > 0 tab stops, numbered 0, 1, etc. These create n corresponding columns. Tab stop 0 is always the left margin, defined by the enclosing environment. Tab stop number i is set if it is assigned a horizontal position on the page. Tab stop number i can only be set if all the stops 0, &dots;, i-1 have already been set; normally later stops are to the right of earlier ones. By default any text typeset in a tabbing environment is typeset ragged right and left-aligned on the current tab stop. Typesetting is done in LR mode (Modes). The following commands can be used inside a tabbing environment. They are all fragile (\protect). \\ (tabbing)\\ (tabbing) End a tabbed line and typeset it. \= (tabbing)\= (tabbing) Sets a tab stop at the current position. \> (tabbing)\> (tabbing) \> Advances to the next tab stop. \<\< Put following text to the left of the local margin (without changing the margin). Can only be used at the start of the line. \+\+ Moves the left margin of the next and all the following commands one tab stop to the right, beginning tabbed line if necessary. \-\- Moves the left margin of the next and all the following commands one tab stop to the left, beginning tabbed line if necessary. \' (tabbing)\' (tabbing) Moves everything that you have typed so far in the current column, i.e., everything from the most recent \>, \<, \', \\, or \kill command, to the previous column and aligned to the right, flush against the current column&textrsquo;s tab stop. \` (tabbing)\` (tabbing) Allows you to put text flush right against any tab stop, including tab stop 0. However, it can&textrsquo;t move text to the right of the last column because there&textrsquo;s no tab stop there. The \` command moves all the text that follows it, up to the \\ or \end{tabbing} command that ends the line, to the right margin of the tabbing environment. There must be no \> or \' command between the \` and the \\ or \end{tabbing} command that ends the line. \a (tabbing)\a (tabbing) \a' (acute accent in tabbing) \a` (grave accent in tabbing) \a= (macron accent in tabbing) In a tabbing environment, the commands \=, \' and \` do not produce accents as usual (Accents). Instead, use the commands \a=, \a' and \a`. \kill\kill Sets tab stops without producing text. Works just like \\ except that it throws away the current line instead of producing output for it. Any \=, \+ or \- commands in that line remain in effect. \poptabs\poptabs \poptabs Restores the tab stop positions saved by the last \pushtabs. \pushtabs\pushtabs Saves all current tab stop positions. Useful for temporarily changing tab stop positions in the middle of a tabbing environment. \tabbingsep\tabbingsep Distance of the text moved by \' to left of current tab stop. This example typesets a Pascal function:
\begin{tabbing}
function \= fact(n : integer) : integer;\\
         \> begin \= \+ \\
               \> if \= n > 1 then \+ \\
                        fact := n * fact(n-1) \- \\
                  else \+ \\
                        fact := 1; \-\- \\
            end;\\
\end{tabbing}
The output looks like this.
function fact(n : integer) : integer;
         begin
               if n > 1 then
                  fact := n * fact(n-1);
               else
                  fact := 1;
         end;
package, algorithm2e algorithm2e package package, listings listings package package, minted minted package package, fancyvrb fancyvrb package This example is just for illustration of the environment. To actually typeset computer code in typewriter like this, a verbatim environment (verbatim) would normally be best. For pretty-printed code, there are quite a few packages, including algorithm2e, fancyvrb, listings, and minted.
tabletabulartabbingEnvironments
table environment, table table environment tables, creating creating tables Synopsis:
\begin{table}[placement]
  table body
  \caption[loftitle]{title}  % optional
  \label{label}              % also optional
\end{table}
A class of floats (Floats). They cannot be split across pages and so they are not typeset in sequence with the normal text but instead are floated to a convenient place, such as the top of a following page. This example table environment contains a tabular
\begin{table}
  \centering\small
  \begin{tabular}{ll}
    \multicolumn{1}{c}{\textit{Author}}
      &\multicolumn{1}{c}{\textit{Piece}}  \\ \hline
    Bach            &Cello Suite Number 1  \\
    Beethoven       &Cello Sonata Number 3 \\
    Brahms          &Cello Sonata Number 1
  \end{tabular}
  \caption{Top cello pieces}
  \label{tab:cello}
\end{table}
but you can put many different kinds of content in a table, including text, &latex; commands, etc. For the possible values of placement and their effect on the float placement algorithm, see Floats. The table body is typeset in a parbox of width \textwidth. It can contain text, commands, graphics, etc. The label is optional; it is used for cross references (Cross references). \caption The \caption command is also optional. It specifies caption text for the table. By default it is numbered. If its optional lottitle is present then that text is used in the list of tables instead of title (Table of contents etc.). In this example the table and caption will float to the bottom of a page, unless it is pushed to a float page at the end.
\begin{table}[b]
  \centering
  \begin{tabular}{r|p{2in}} \hline
    One &The loneliest number \\
    Two &Can be as sad as one.
         It's the loneliest number since the number one.
  \end{tabular}
  \caption{Cardinal virtues}
  \label{tab:CardinalVirtues}
\end{table}
tabularthebibliographytableEnvironments
tabular environment, tabular tabular environment lines in tables lining text up in tables Synopsis:
\begin{tabular}[pos]{cols}
  column 1 entry  &column 2 entry  ...  &column n entry \\
  ...
\end{tabular}
or
\begin{tabular*}{width}[pos]{cols}
  column 1 entry  &column 2 entry  ...  &column n entry \\
  ...
\end{tabular*}
Produce a table, a box consisting of a sequence of horizontal rows. Each row consists of items that are aligned vertically in columns. This illustrates many of the features.
\begin{tabular}{l|l}
  \textit{Player name}  &\textit{Career home runs}  \\ 
  \hline
  Hank Aaron  &755 \\
  Babe Ruth   &714
\end{tabular}
The output will have two left-aligned columns with a vertical bar between them. This is specified in tabular&textrsquo;s argument {l|l}. & Put the entries into different columns by separating them with an ampersand, &. The end of each row is marked with a double backslash, \\. Put a horizontal rule below a row, after a double backslash, with \hline. \\ for tabular After the last row the \\ is optional, unless an \hline command follows to put a rule below the table. The required and optional arguments to tabular consist of: pos Optional. Specifies the table&textrsquo;s vertical position. The default is to align the table so its vertical center matches the baseline of the surrounding text. There are two other possible alignments: t aligns the table so its top row matches the baseline of the surrounding text, and b aligns on the bottom row. This only has an effect if there is other text. In the common case of a tabular alone in a center environment this option makes no difference. cols Required. Specifies the formatting of columns. It consists of a sequence of the following specifiers, corresponding to the types of column and intercolumn material.
l A column of left-aligned items. r A column of right-aligned items. c A column of centered items. | A vertical line the full height and depth of the environment. &arobase;{text or space} Insert text or space at this location in every row. The text or space material is typeset in LR mode. This text is fragile (\protect). If between two columns there is no &arobase;-expression then &latex;&textrsquo;s book, article, and report classes will put on either side of each column a space of length \tabcolsep, which by default is 6pt. That is, by default adjacent columns are separated by 12pt (so \tabcolsep is misleadingly named since it is only half of the separation between tabular columns). In addition, a space of 6pt also comes before the first column and after the final column, unless you put a &arobase;{...} or | there. If you override the default and use an &arobase;-expression then &latex; does not insert \tabcolsep so you must insert any desired space yourself, as in &arobase;{\hspace{1em}}. An empty expression &arobase;{} will eliminate the space. In particular, sometimes you want to eliminate the space before the first column or after the last one, as in the example below where the tabular lines need to lie on the left margin.
\begin{flushleft}
  \begin{tabular}{&arobase;{}l}
    ...
  \end{tabular}
\end{flushleft}
The next example shows text, a decimal point between the columns, arranged so the numbers in the table are aligned on it.
\begin{tabular}{r&arobase;{$.$}l}
  $3$ &$14$  \\
  $9$ &$80665$
\end{tabular}
\extracolsep An \extracolsep{wd} command in an &arobase;-expression causes an extra space of width wd to appear to the left of all subsequent columns, until countermanded by another \extracolsep. Unlike ordinary intercolumn space, this extra space is not suppressed by an &arobase;-expression. An \extracolsep command can be used only in an &arobase;-expression in the cols argument. Below, &latex; inserts the right amount of intercolumn space to make the entire table 4 inches wide.
\begin{tabular*}{4in}{l&arobase;{\extracolsep{\fill}}l}
  Seven times down, eight times up \ldots 
  &such is life!
\end{tabular*}
To insert commands that are automatically executed before a given column, load the array package and use the >{...} specifier.
p{wd} Each item in the column is typeset in a parbox of width wd, as if it were the argument of a \parbox[t]{wd}{...} command. A line break double backslash \\ may not appear in the item, except inside an environment like minipage, array, or tabular, or inside an explicit \parbox, or in the scope of a \centering, \raggedright, or \raggedleft declaration (when used in a p-column element these declarations must appear inside braces, as with {\centering .. \\ ..}). Otherwise &latex; will misinterpret the double backslash as ending the row. Instead, to get a line break in there use \newline (\newline). *{num}{cols} Equivalent to num copies of cols, where num is a positive integer and cols is a list of specifiers. Thus the specifier \begin{tabular}{|*{3}{l|r}|} is equivalent to the specifier \begin{tabular}{|l|rl|rl|r|}. Note that cols may contain another *-expression.
width Required for tabular*, not allowed for tabular. Specifies the width of the tabular* environment. The space between columns should be rubber, as with &arobase;{\extracolsep{\fill}}, to allow the table to stretch or shrink to make the specified width, or else you are likely to get the Underfull \hbox (badness 10000) in alignment ... warning. Parameters that control formatting: \arrayrulewidth\arrayrulewidth tabular arrayrulewidth A length that is the thickness of the rule created by |, \hline, and \vline in the tabular and array environments. The default is .4pt. Change it as in \setlength{\arrayrulewidth}{0.8pt}. \arraystretch\arraystretch tabular arraystrech A factor by which the spacing between rows in the tabular and array environments is multiplied. The default is 1, for no scaling. Change it as \renewcommand{\arraystretch}{1.2}. \doublerulesep\doublerulesep tabular doublerulesep A length that is the distance between the vertical rules produced by the || specifier. The default is 2pt. \tabcolsep\tabcolsep tabular tabcolsep A length that is half of the space between columns. The default is 6pt. Change it with \setlength. The following commands can be used inside the body of a tabular environment, the first two inside an entry and the second two between lines: \multicolumn
Make an item spanning several columns.
\vline
Draw a vertical line.
\cline
Draw a horizontal line spanning some columns.
\hline
Draw a horizontal line spanning all columns.
\multicolumn\vlinetabular \multicolumn \multicolumn Synopsis:
\multicolumn{numcols}{cols}{text}
Make an array or tabular entry that spans several columns. The first argument numcols gives the number of columns to span. The second argument cols specifies the formatting of the entry, with c for centered, l for flush left, or r for flush right. The third argument text gives the contents of that entry. In this example, in the first row, the second and third columns are spanned by the single heading Name.
\begin{tabular}{lccl} 
  \textit{ID}       &\multicolumn{2}{c}{\textit{Name}} &\textit{Age} \\
  \hline  
  978-0-393-03701-2 &O'Brian &Patrick                  &55           \\
    ...
\end{tabular}
What counts as a column is: the column format specifier for the array or tabular environment is broken into parts, where each part (except the first) begins with l, c, r, or p. So from \begin{tabular}{|r|ccp{1.5in}|} the parts are |r|, c, c, and p{1.5in}|. The cols argument overrides the array or tabular environment&textrsquo;s intercolumn area default adjoining this multicolumn entry. To affect that area, this argument can contain vertical bars | indicating the placement of vertical rules, and &arobase;{...} expressions. Thus if cols is |c| then this multicolumn entry will be centered and a vertical rule will come in the intercolumn area before it and after it. This table details the exact behavior.
\begin{tabular}{|cc|c|c|}
  \multicolumn{1}{r}{w}       % entry one
    &\multicolumn{1}{|r|}{x}  % entry two 
    &\multicolumn{1}{|r}{y}   % entry three
    &z                        % entry four
\end{tabular}
Before the first entry the output will not have a vertical rule because the \multicolumn has the cols specifier r with no initial vertical bar. Between entry one and entry two there will be a vertical rule; although the first cols does not have an ending vertical bar, the second cols does have a starting one. Between entry two and entry three there is a single vertical rule; despite that the cols in both of the surrounding multicolumn&textrsquo;s call for a vertical rule, you only get one rule. Between entry three and entry four there is no vertical rule; the default calls for one but the cols in the entry three \multicolumn leaves it out, and that takes precedence. Finally, following entry four there is a vertical rule because of the default. The number of spanned columns numcols can be 1. Besides giving the ability to change the horizontal alignment, this also is useful to override for one row the tabular definition&textrsquo;s default intercolumn area specification, including the placement of vertical rules. In the example below, in the tabular definition the first column is specified to default to left justified but in the first row the entry is centered with \multicolumn{1}{c}{\textsc{Period}}. Also in the first row, the second and third columns are spanned by a single entry with \multicolumn{2}{c}{\textsc{Span}}, overriding the specification to center those two columns on the page range en-dash.
\begin{tabular}{l|r&arobase;{--}l} 
  \multicolumn{1}{c}{\textsc{Period}}  
    &multicolumn{2}{c}{\textsc{Span}} \\ \hline
  Baroque          &1600           &1760         \\
  Classical        &1730           &1820         \\
  Romantic         &1780           &1910         \\
  Impressionistic  &1875           &1925
\end{tabular}
Although the tabular specification by default puts a vertical rule between the first and second columns, no such vertical rule appears in the first row here. That&textrsquo;s because there is no vertical bar in the cols part of the first row&textrsquo;s first \multicolumn command.
\vline\cline\multicolumntabular \vline \vline Draw a vertical line in a tabular or array environment extending the full height and depth of an entry&textrsquo;s row. Can also be used in an &arobase;-expression, although its synonym vertical bar | is more common. This command is rarely used in the body of a table; typically a table&textrsquo;s vertical lines are specified in tabular&textrsquo;s cols argument and overridden as needed with \multicolumn (tabular). The example below illustrates some pitfalls. In the first row&textrsquo;s second entry the \hfill moves the \vline to the left edge of the cell. But that is different than putting it halfway between the two columns, so between the first and second columns there are two vertical rules, with the one from the {c|cc} specifier coming before the one produced by the \vline\hfill. In contrast, the first row&textrsquo;s third entry shows the usual way to put a vertical bar between two columns. In the second row, the ghi is the widest entry in its column so in the \vline\hfill the \hfill has no effect and the vertical line in that entry appears immediately next to the g, with no whitespace.
\begin{tabular}{c|cc}
  x   &\vline\hfill y   &\multicolumn{1}{|r}{z} \\ % row 1  
  abc &def &\vline\hfill ghi                       % row 2  
\end{tabular}
\cline\hline\vlinetabular \cline \cline Synopsis:
\cline{i-j}
In an array or tabular environment, draw a horizontal rule beginning in column i and ending in column j. The dash, -, must appear in the mandatory argument. To span a single column use the number twice, as with \cline{2-2}. This example puts two horizontal lines between the first and second rows, one line in the first column only, and the other spanning the third and fourth columns. The two lines are side-by-side, at the same height.
\begin{tabular}{llrr} 
  a &b &c &d \\ \cline{1-1} \cline{3-4} 
  e &f &g &h 
\end{tabular}
\hline\clinetabular \hline \hline Draw a horizontal line the width of the enclosing tabular or array environment. It&textrsquo;s most commonly used to draw a line at the top, bottom, and between the rows of a table. In this example the top of the table has two horizontal rules, one above the other, that span both columns. The bottom of the table has a single rule spanning both columns. Because of the \hline, the tabular second row&textrsquo;s line ending double backslash \\ is required.
\begin{tabular}{ll} \hline\hline
  Baseball   &Red Sox  \\
  Basketball &Celtics  \\ \hline
\end{tabular}
thebibliographytheoremtabularEnvironments
thebibliography environment, thebibliography thebibliography environment bibliography, creating (manually) Synopsis:
\begin{thebibliography}{widest-label}
  \bibitem[label]{cite_key}
  ...
\end{thebibliography}
Produce a bibliography or reference list. There are two ways to produce bibliographic lists. This environment is suitable when you have only a few references and can maintain the list by hand. Using BibTeX for a more sophisticated approach. This shows the environment with two entries.
This work is based on \cite{latexdps}.
Together they are \cite{latexdps, texbook}.
  ...
\begin{thebibliography}{9}
\bibitem{latexdps} 
  Leslie Lamport. 
  \textit{\LaTeX{}: a document preparation system}. 
  Addison-Wesley, Reading, Massachusetts, 1993.
\bibitem{texbook} 
  Donald Ervin Knuth. 
  \textit{The \TeX book}. 
  Addison-Wesley, Reading, Massachusetts, 1983.
\end{thebibliography}
This styles the first reference as [1] Leslie ..., and so that \cite{latexdps} produces the matching ... based on [1]. The second \cite produces [1, 2]. You must compile the document twice to resolve these references. The mandatory argument widest-label is text that, when typeset, is as wide as the widest item label produced by the \bibitem commands. The tradition is to use 9 for bibliographies with less than 10 references, 99 for ones with less than 100, etc. The bibliographic list is headed by a title such as Bibliography. To change it there are two cases. In the book and report classes, where the top level sectioning is \chapter and the default title is Bibliography, that title is in the macro \bibname. For article, where the class&textrsquo;s top level sectioning is \section and the default is References, the title is in macro \refname. Change it by redefining the command, as with \renewcommand{\refname}{Cited references} after \begin{document}. package, babel babel package Language support packages such as babel will automatically redefine \refname or \bibname to fit the selected language. \bibitem
Specify a bibliography item.
\cite
Refer to a bibliography item.
\nocite
Include an item in the bibliography.
Using BibTeX
Automatic generation of bibliographies.
\bibitem\citethebibliography \bibitem \bibitem Synopsis:
\bibitem{cite_key}
or
\bibitem[label]{cite_key}
Generate an entry labeled by label. The default is for &latex; to generates a number using the enumi counter. The citation key citation key cite_key is a string of letters, numbers, and punctuation symbols (but not comma). thebibliography for an example. The optional label changes the default label from an integer to the given string. With this
\begin{thebibliography}
\bibitem[Lamport 1993]{latexdps} 
  Leslie Lamport. 
  \textit{\LaTeX{}: a document preparation system}. 
  Addison-Wesley, Reading, Massachusetts, 1993.
\bibitem{texbook} 
  Donald Ervin Knuth. 
  \textit{The \TeX book}. 
  Addison-Wesley, Reading, Massachusetts, 1983.
\end{thebibliography}
the first entry will be styled as [Lamport 1993] Leslie ... (The amount of horizontal space that &latex; leaves for the label depends on the widest-label argument of the thebibliography environment; see thebibliography.) Similarly, ... based on \cite{latexdps} will produce ... based on [Lamport 1994]. If you mix \bibitem entries having a label with those that do not then &latex; will number the unlabelled ones sequentially. In the example above the texbook entry will appear as [1] Donald ..., despite that it is the second entry. If you use the same cite_key twice then you get LaTeX Warning: There were multiply-defined labels. Under the hood, &latex; remembers the cite_key and label information because \bibitem writes it to the auxiliary file filename.aux. For instance, the above example causes \bibcite{latexdps}{Lamport, 1993} and \bibcite{texbook}{1} to appear in that file. The .aux file is read by the \begin{document} command and then the information is available for \cite commands. This explains why you need to run &latex; twice to resolve references: once to write it out and once to read it in. Because of this two-pass algorithm, when you add a \bibitem or change its cite_key you may get LaTeX Warning: Label(s) may have changed. Rerun to get cross-references right. Fix it by recompiling.
\cite\nocite\bibitemthebibliography \cite \cite Synopsis:
\cite{keys}
or
\cite[subcite]{keys}
Generate as output a citation to the references associated with keys. The mandatory keys is a citation key, or a comma-separated list of citation keys (\bibitem). This
The ultimate source is \cite{texbook}.
  ...
\begin{thebibliography}
\bibitem{texbook} 
  Donald Ervin Knuth. 
  \textit{The \TeX book}. 
  Addison-Wesley, Reading, Massachusetts, 1983.
\end{thebibliography}
produces output like ... source is [1]. (You can change the appearance of the citation with bibliography styles. More is in Using BibTeX.) The optional argument subcite is appended to the citation. For example, See 14.3 in \cite[p.~314]{texbook} might produce See 14.3 in [1, p. 314]. In addition to what appears in the output, \cite writes information to the auxiliary file filename.aux. For instance, \cite{latexdps} writes \citation{latexdps} to that file. This information is used by Bib&tex; to include in your reference list only those works that you have actually cited; see \nocite also. If keys is not in your bibliography information then you get LaTeX Warning: There were undefined references, and in the output the citation shows as a boldface question mark between square brackets. There are two possible causes. If you have mistyped something, as in \cite{texbok} then you need to correct the spelling. On the other hand, if you have just added or modified the bibliographic information and so changed the .aux file (\bibitem) then the fix may be to run &latex; again.
\nociteUsing BibTeX\citethebibliography \nocite \nocite Synopsis:
\nocite{keys}
Produces no output but writes keys to the auxiliary file doc-filename.aux. The mandatory argument keys is a comma-separated list of one or more citation keys (\bibitem). This information is used by Bib&tex; to include these works in your reference list even though you have not cited them (\cite).
Using BibTeX\nocitethebibliography Using Bib&tex; using Bib&tex; bib&tex;, using bibliography, creating (automatically) \bibliographystyle \bibliography As described in thebibliography (thebibliography), a sophisticated approach to managing bibliographies is provided by the Bib&tex; program. This is only an introduction; see the full documentation on CTAN. With Bib&tex;, you don&textrsquo;t use thebibliography (thebibliography). Instead, include these lines.
\bibliographystyle{bibstyle}
\bibliography{bibfile1, bibfile2, ...}
The bibstyle refers to a file bibstyle.bst, which defines how your citations will look. The standard bibstyle&textrsquo;s distributed with Bib&tex; are: alpha Labels are formed from name of author and year of publication. The bibliographic items are sorted alphabetically. plain Labels are integers. Sort the bibliographic items alphabetically. unsrt Like plain, but entries are in order of citation. abbrv Like plain, but more compact labels.
Many, many other Bib&tex; style files exist, tailored to the demands of various publications. See CTAN&textrsquo;s listing http://mirror.ctan.org/biblio/bibtex/contrib. The \bibliography command is what actually produces the bibliography. Its argument is a comma-separated list, referring to files named bibfile1.bib, bibfile2.bib, &dots; These contain your database in Bib&tex; format. This shows a typical couple of entries in that format.
&arobase;book{texbook,
  title     = {The {{\TeX}}book},
  author    = {D.E. Knuth},
  isbn      = {0201134489},
  series    = {Computers \& typesetting},
  year      = {1983},
  publisher = {Addison-Wesley}
}
&arobase;book{sexbook,
    author    = {W.H. Masters and V.E. Johnson},
    title     = {Human Sexual Response},
    year      = {1966},
    publisher = {Bantam Books}
}
Only the bibliographic entries referred to via \cite and \nocite will be listed in the document&textrsquo;s bibliography. Thus you can keep all your sources together in one file, or a small number of files, and rely on Bib&tex; to include in this document only those that you used.
theoremtitlepagethebibliographyEnvironments
theorem environment, theorem theorem environment theorems, typesetting Synopsis:
\begin{theorem}
  theorem body
\end{theorem}
Produces Theorem n in boldface followed by theorem body in italics. The numbering possibilities for n are described under \newtheorem (\newtheorem).
\newtheorem{lem}{Lemma}      % in preamble
\newtheorem{thm}{Theorem}    
  ...
\begin{lem}                  % in  document body
  text of lemma
\end{lem}

The next result follows immediately.
\begin{thm}[Gauss]   %  put `Gauss' in parens after theorem head
  text of theorem
\end{thm}
package, amsmath amsmath package package, amsthm amsthm package Most new documents use the packages amsthm and amsmath from the American Mathematical Society. Among other things these packages include a large number of options for theorem environments, such as styling options.
titlepageverbatimtheoremEnvironments
titlepage environment, titlepage titlepage environment making a title page title pages, creating Synopsis:
\begin{titlepage}
  ... text and spacing ...
\end{titlepage}
Create a title page, a page with no printed page number or heading and with succeeding pages numbered starting with page one. In this example all formatting, including vertical spacing, is left to the author.
\begin{titlepage}
\vspace*{\stretch{1}}
\begin{center}
  {\huge\bfseries Thesis \\[1ex] 
                  title}                  \\[6.5ex]
  {\large\bfseries Author name}           \\
  \vspace{4ex}
  Thesis  submitted to                    \\[5pt]
  \textit{University name}                \\[2cm]
  in partial fulfilment for the award of the degree of \\[2cm]
  \textsc{\Large Doctor of Philosophy}    \\[2ex]
  \textsc{\large Mathematics}             \\[12ex]
  \vfill
  Department of Mathematics               \\
  Address                                 \\
  \vfill
  \today
\end{center}
\vspace{\stretch{2}}
\end{titlepage}
To instead produce a standard title page without a titlepage environment, use \maketitle (\maketitle).
verbatimversetitlepageEnvironments
verbatim environment, verbatim verbatim environment verbatim text simulating typed text typed text, simulating code, typesetting computer programs, typesetting Synopsis:
\begin{verbatim}
literal-text
\end{verbatim}
A paragraph-making environment in which &latex; produces as output exactly what you type as input. For instance inside literal-text the backslash \ character does not start commands, it produces a printed \, and carriage returns and blanks are taken literally. The output appears in a monospaced typewriter-like font (\tt).
\begin{verbatim}
Symbol swearing: %&$#?&eosexcl;.
\end{verbatim}
The only restriction on literal-text is that it cannot include the string \end{verbatim}. package, cprotect cprotect package You cannot use the verbatim environment in the argument to macros, for instance in the argument to a \section. This is not the same as commands being fragile (\protect), instead it just cannot appear there. (But the cprotect package can help with this.) package, listings listings package package, minted minted package One common use of verbatim input is to typeset computer code. There are packages that are an improvement the verbatim environment. For instance, one improvement is to allow the verbatim inclusion of external files, or parts of those files. Such packages include listings, and minted. package, fancyvrb fancyvrb package package, verbatimbox verbatimbox package A package that provides many more options for verbatim environments is fancyvrb. Another is verbatimbox. For a list of all the relevant packages, see CTAN. \verb
The macro form of the verbatim environment.
\verbverbatim \verb \verb verbatim text, inline Synopsis:
\verb char literal-text char
\verb* char literal-text char
Typeset literal-text as it is input, including special characters and spaces, using the typewriter (\tt) font. This example shows two different invocations of \verb.
This is \verb!literally! the biggest pumpkin ever.
And this is the best squash, \verb+literally!+
The first \verb has its literal-text surrounded with exclamation point, !. The second instead uses plus, +, because the exclamation point is part of literal-text. The single-character delimiter char surrounds literal-text &textmdash; it must be the same character before and after. No spaces come between \verb or \verb* and char, or between char and literal-text, or between literal-text and the second occurrence of char (the synopsis shows a space only to distinguish one component from the other). The delimiter must not appear in literal-text. The literal-text cannot include a line break. visible space The *-form differs only in that spaces are printed with a visible space character. The output from this will include a character showing the spaces.
The commands's first argument is \verb*!filename with extension! and ...
package, url url package For typesetting Internet addresses, urls, the package url provides an option that is better than the \verb command, since it allows line breaks. package, listings listings package package, minted minted package For computer code there are many packages with advantages over \verb. One is listings, another is minted. package, cprotect cprotect package You cannot use \verb in the argument to a macro, for instance in the argument to a \section. It is not a question of \verb being fragile (\protect), instead it just cannot appear there. (But the cprotect package can help with this.)
verseverbatimEnvironments
verse environment, verse verse environment poetry, an environment for Synopsis:
\begin{verse}
  line1 \\
  line2 \\
  ...
\end{verse}
An environment for poetry. Here are two lines from Shakespeare&textrsquo;s Romeo and Juliet.
Then plainly know my heart's dear love is set \\
On the fair daughter of rich Capulet.
\\ for verse Separate the lines of each stanza with \\, and use one or more blank lines to separate the stanzas.
\begin{verse}
\makebox[\linewidth][c]{\textit{Shut Not Your Doors} ---Walt Whitman}
  \\[1\baselineskip]
Shut not your doors to me proud libraries,                  \\
For that which was lacking on all your well-fill'd shelves, \\
\qquad yet needed most, I bring,                             \\
Forth from the war emerging, a book I have made,            \\
The words of my book nothing, the drift of it every thing,  \\
A book separate, not link'd with the rest nor felt by the intellect, \\
But you ye untold latencies will thrill to every page.
\end{verse}
The output has margins indented on the left and the right, paragraphs are not indented, and the text is not right-justified.
Line breakingPage breakingEnvironmentsTop Line breaking line breaking breaking lines The first thing &latex; does when processing ordinary text is to translate your input file into a sequence of glyphs and spaces. To produce a printed document, this sequence must be broken into lines (and these lines must be broken into pages). &latex; usually does the line (and page) breaking in the text body for you but in some environments you manually force line breaks. A common workflow is to get a final version of the document content before taking a final pass through and considering line breaks (and page breaks). This differs from word processing, where you are formatting text as you input it. Putting these off until the end prevents a lot of fiddling with breaks that will change anyway. \\
Start a new line.
\obeycr & \restorecr
Make each input line start a new output line.
\newline
Break the line
\- (hyphenation)
Insert explicit hyphenation.
\discretionary
Explicit control of the hyphen character.
\fussy & \sloppy
Be more or less particular with line breaking.
\hyphenation
Tell &latex; how to hyphenate a word.
\linebreak & \nolinebreak
Forcing & avoiding line breaks.
\\\obeycr & \restorecrLine breaking
\\ \\ force line break new line, starting line break, forcing Synopsis, one of:
\\
\\[morespace]
or one of:
\\*
\\*[morespace]
End the current line. The optional argument morespace specifies extra vertical space to be inserted before the next line. This is a rubber length (Lengths) and can be negative. The text before the line break is set at its normal length, that is, it is not stretched to fill out the line width. This command is fragile (\protect). The starred form, \\*, tells &latex; not to start a new page between the two lines, by issuing a \nobreak.
\title{My story: \\[0.25in]
       a tale of woe}
Explicit line breaks in the main text body are unusual in &latex;. In particular, don&textrsquo;t start new paragraphs with \\. Instead leave a blank line between the two paragraphs. And don&textrsquo;t put in a sequence of \\&textrsquo;s to make vertical space. Instead use \vspace{length}, or \leavevmode\vspace{length}, or \vspace*{length} if you want the space to not be thrown out at the top of a new page (\vspace). The \\ command is mostly used outside of the main flow of text such as in a tabular or array environment or in an equation environment. The \\ command is a synonym for \newline (\newline) under ordinary circumstances (an example of an exception is the p{...} column in a tabular environment; tabular). The \\ command is a macro, and its definition changes by context so that its definition in normal text, a center environment, a flushleft environment, and a tabular are all different. In normal text when it forces a linebreak it is essentially a shorthand for \newline. It does not end horizontal mode or end the paragraph, it just inserts some glue and penalties so that when the paragraph does end a linebreak will occur at that point, with the short line padded with white space. You get LaTeX Error: There's no line here to end if you use \\ to ask for a new line, rather than to end the current line. An example is if you have \begin{document}\\ or, more likely, something like this.
\begin{center}
  \begin{minipage}{0.5\textwidth}
  \\
  In that vertical space put your mark.
  \end{minipage}
\end{center}
Fix it by replacing the double backslash with something like \vspace{\baselineskip}.
\obeycr & \restorecr\newline\\Line breaking
\obeycr & \restorecr \obeycr \restorecr new line, output as input The \obeycr command makes a return in the input file (^^M, internally) the same as \\, followed by \relax. So each new line in the input will also be a new line in the output. The \restorecr command restores normal line-breaking behavior. This is not the way to show verbatim text or computer code. verbatim instead. With &latex;&textrsquo;s usual defaults, this
aaa
bbb

\obeycr
ccc
ddd
   eee

\restorecr
fff
ggg

hhh
iii
produces output like this.
  aaa bbb
  ccc
ddd
eee

fff ggg
  hhh iii
The indents are paragraph indents.
\newline\- (hyphenation)\obeycr & \restorecrLine breaking
\newline \newline new line, starting (paragraph mode) In ordinary text, this ends a line in a way that does not right-justify the line, so the prior text is not stretched. That is, in paragraph mode (Modes), the \newline command is equivalent to double-backslash (\\). This command is fragile (\protect). However, the two commands are different inside a tabular or array environment. In a column with a specifier producing a paragraph box such as typically p{...}, \newline will insert a line end inside of the column; that is, it does not break the entire tabular row. To break the entire row use \\ or its equivalent \tabularnewline. This will print Name: and Address: as two lines in a single cell of the table.
\begin{tabular}{p{1in}{\hspace{2in}}p{1in}}
  Name: \newline Address: &Date: \\ \hline
\end{tabular}
The Date: will be baseline-aligned with Name:.
\- (hyphenation)\discretionary\newlineLine breaking
\- (discretionary hyphen) \- (hyphenation) hyphenation, forcing Tell &latex; that it may hyphenate the word at that point. When you insert \- commands in a word, the word will only be hyphenated at those points and not at any of the hyphenation points that &latex; might otherwise have chosen. This command is robust (\protect). &latex; is good at hyphenating and usually finds most of the correct hyphenation points, while almost never using an incorrect one. The \- command is for exceptional cases. For example, &latex; does not ordinarily hyphenate words containing a hyphen. Below, the long and hyphenated word means &latex; has to put in unacceptably large spaces to set the narrow column.
\begin{tabular}{rp{1.75in}}
  Isaac Asimov &The strain of
               anti-intellectualism
               % an\-ti-in\-tel\-lec\-tu\-al\-ism
               has been a constant thread winding its way through our
               political and cultural life, nurtured by
               the false notion that democracy means that
               `my ignorance is just as good as your knowledge'.
\end{tabular}
Commenting out the third line and uncommenting the fourth makes a much better fit. The \- command only allows &latex; to break there, it does not require that it break there. You can insist on a split with something like Hef-\linebreak feron. Of course, if you later change the text then this forced break may look very odd, so this approach requires care.
\discretionary\fussy & \sloppy\- (hyphenation)Line breaking
\discretionary (generalized hyphenation point) hyphenation, discretionary discretionary hyphenation Synopsis:
\discretionary{pre-break}{post-break}{no-break}
Handle word changes around hyphens. This command is not often used in &latex; documents. If a line break occurs at the point where \discretionary appears then &tex; puts pre-break at the end of the current line and puts post-break at the start of the next line. If there is no line break here then &tex; puts no-break In difficult the three letters ffi form a ligature. But &tex; can nonetheless break between the two f&textrsquo;s with this.
di\discretionary{f-}{fi}{ffi}cult
Note that users do not have to do this. It is typically handled automatically by &tex;&textrsquo;s hyphenation algorithm.
\fussy & \sloppy\hyphenation\discretionaryLine breaking
\fussy & \sloppy \fussy \sloppy line breaks, changing Declarations to make &tex; more picky or less picky about line breaking. Declaring \fussy usually avoids too much space between words, at the cost of an occasional overfull box. Conversely, \sloppy avoids overfull boxes while suffering loose interword spacing. The default is \fussy. Line breaking in a paragraph is controlled by whichever declaration is current at the blank line, or \par, or displayed equation ending that paragraph. So to affect the line breaks, include that paragraph-ending material in the scope of the command. sloppypar
Environment version of \sloppy command.
sloppypar\fussy & \sloppy sloppypar sloppypar sloppypar environment Synopsis:
\begin{sloppypar}
  ... paragraphs ...
\end{sloppypar}
Typeset the paragraphs with \sloppy in effect (\fussy & \sloppy). Use this to locally adjust line breaking, to avoid Overfull box or Underfull box errors. The example is simple.
\begin{sloppypar}
  Her plan for the morning thus settled, she sat quietly down to her
  book after breakfast, resolving to remain in the same place and the
  same employment till the clock struck one; and from habitude very
  little incommoded by the remarks and ejaculations of Mrs.\ Allen,
  whose vacancy of mind and incapacity for thinking were such, that
  as she never talked a great deal, so she could never be entirely
  silent; and, therefore, while she sat at her work, if she lost her
  needle or broke her thread, if she heard a carriage in the street,
  or saw a speck upon her gown, she must observe it aloud, whether
  there were anyone at leisure to answer her or not.
\end{sloppypar}
\hyphenation\linebreak & \nolinebreak\fussy & \sloppyLine breaking
\hyphenation \hyphenation hyphenation, defining Synopsis:
\hyphenation{word1 ...}
Declares allowed hyphenation points within the words in the list. The words in that list are separated by spaces. Show permitted points for hyphenation with a dash character, -. Here is an example:
\hyphenation{hat-er il-lit-e-ra-ti tru-th-i-ness}
Use lowercase letters. &tex; will only hyphenate if the word matches exactly. Multiple \hyphenation commands accumulate.
\linebreak & \nolinebreak\hyphenationLine breaking
\linebreak & \nolinebreak \linebreak \nolinebreak line breaks, forcing line breaks, preventing Synopses, one of:
\linebreak
\linebreak[zero-to-four]
or one of these.
\nolinebreak
\nolinebreak[zero-to-four]
Encourage or discourage a line break. The optional zero-to-four is an integer that allows you to soften the instruction. The default is 4, so that without the optional argument these commands entirely force or prevent the break. But for instance, \nolinebreak[1] is a suggestion that another place may be better. The higher the number, the more insistent the request. Both commands are fragile (\protect). Here we tell &latex; that a good place to put a linebreak is after the standard legal text.
\boilerplatelegal{} \linebreak[2]
We especially encourage applications from members of traditionally
underrepresented groups.
When you issue \linebreak, the spaces in the line are stretched out so that it extends to the right margin. \\ and \newline to have the spaces not stretched out.
Page breakingFootnotesLine breakingTop Page breaking page breaking breaking pages Ordinarily &latex; automatically takes care of breaking output into pages with its usual aplomb. But if you are writing commands, or tweaking the final version of a document, then you may need to understand how to influence its actions. &latex;&textrsquo;s algorithm for splitting a document into pages is more complex than just waiting until there is enough material to fill a page and outputting the result. Instead, &latex; typesets more material than would fit on the page and then chooses a break that is optimal in some way (it has the smallest badness). An example of the advantage of this approach is that if the page has some vertical space that can be stretched or shrunk, such as with rubber lengths between paragraphs, then &latex; can use that to avoid widow lines (where a new page starts with the last line of a paragraph; &latex; can squeeze the extra line onto the first page) and orphans (where the first line of paragraph is at the end of a page; &latex; can stretch the material of the first page so the extra line falls on the second page). Another example is where &latex; uses available vertical shrinkage to fit on a page not just the header for a new section but also the first two lines of that section. But &latex; does not optimize over the entire document&textrsquo;s set of page breaks. So it can happen that the first page break is great but the second one is lousy; to break the current page &latex; doesn&textrsquo;t look as far ahead as the next page break. So occasionally you may want to influence page breaks while preparing a final version of a document. Layout for more material that is relevant to page breaking. \clearpage & \cleardoublepage
Start a new page; eject floats.
\newpage
Start a new page.
\enlargethispage
Enlarge the current page a bit.
\pagebreak & \nopagebreak
Forcing & avoiding page breaks.
\clearpage & \cleardoublepage\newpagePage breaking
\clearpage & \cleardoublepage \clearpage flushing floats and starting a page starting a new page and clearing floats \cleardoublepage starting on a right-hand page Synopsis:
\clearpage
or
\cleardoublepage
End the current page and output all of the pending floating figures and tables (Floats). If there are too many floats to fit on the page then &latex; will put in extra pages containing only floats. In two-sided printing, \cleardoublepage also makes the next page of content a right-hand page, an odd-numbered page, if necessary inserting a blank page. The \clearpage command is robust while \cleardoublepage is fragile (\protect). &latex;&textrsquo;s page breaks are optimized so ordinarily you only use this command in a document body to polish the final version, or inside commands. The \cleardoublepage command will put in a blank page, but it will have the running headers and footers. To get a really blank page, use this command.
\let\origdoublepage\cleardoublepage
\newcommand{\clearemptydoublepage}{%
  \clearpage
  {\pagestyle{empty}\origdoublepage}%
}
If you want &latex;&textrsquo;s standard \chapter command to do this then add the line \let\cleardoublepage\clearemptydoublepage. The command \newpage (\newpage) also ends the current page, but without clearing pending floats. And, if &latex; is in two-column mode then \newpage ends the current column while \clearpage and \cleardoublepage end the current page.
\newpage\enlargethispage\clearpage & \cleardoublepagePage breaking
\newpage \newpage new page, starting starting a new page Synopsis:
\newpage
End the current page. This command is robust (\protect). &latex;&textrsquo;s page breaks are optimized so ordinarily you only use this command in a document body to polish the final version, or inside commands. While the commands \clearpage and \cleardoublepage also end the current page, in addition they clear pending floats (\clearpage & \cleardoublepage). And, if &latex; is in two-column mode then \clearpage and \cleardoublepage end the current page, possibly leaving an empty column, while \newpage only ends the current column. In contrast with \pagebreak (\pagebreak & \nopagebreak), the \newpage command will cause the new page to start right where requested. This
Four score and seven years ago our fathers brought forth on this
continent,
\newpage
\noindent a new nation, conceived in Liberty, and dedicated to the
proposition that all men are created equal.
makes a new page start after continent, and the cut-off line is not right justified. In addition, \newpage does not vertically stretch out the page, as \pagebreak does.
\enlargethispage\pagebreak & \nopagebreak\newpagePage breaking
\enlargethispage \enlargethispage enlarge current page Synopsis, one of:
\enlargethispage{size}
\enlargethispage*{size}
Enlarge the \textheight for the current page. The required argument size must be a rigid length (Lengths). It may be positive or negative. This command is fragile (\protect). A common strategy is to wait until you have the final text of a document, and then pass through it tweaking line and page breaks. This command allows you some page size leeway. This will allow one extra line on the current page.
\enlargethispage{\baselineskip}
The starred form \enlargesthispage* tries to squeeze the material together on the page as much as possible, for the common use case of getting one more line on the page. This is often used together with an explicit \pagebreak.
\pagebreak & \nopagebreak\enlargethispagePage breaking
\pagebreak & \nopagebreak \pagebreak \nopagebreak page break, forcing page break, preventing Synopses:
\pagebreak
\pagebreak[zero-to-four]
or
\nopagebreak
\nopagebreak[zero-to-four]
Encourage or discourage a page break. The optional zero-to-four is an integer that allows you to soften the request. The default is 4, so that without the optional argument these commands entirely force or prevent the break. But for instance \nopagebreak[1] suggests to &latex; that another spot might be preferable. The higher the number, the more insistent the request. Both commands are fragile (\protect). &latex;&textrsquo;s page endings are optimized so ordinarily you only use this command in a document body to polish the final version, or inside commands. If you use these inside a paragraph, they apply to the point following the line in which they appear. So this
Four score and seven years ago our fathers brought forth on this
continent,
\pagebreak
a new nation, conceived in Liberty, and dedicated to the proposition
that all men are created equal.
does not give a page break at continent, but instead at nation, since that is where &latex; breaks that line. In addition, with \pagebreak the vertical space on the page is stretched out where possible so that it extends to the normal bottom margin. This can look strange, and if \flushbottom is in effect this can cause you to get Underfull \vbox (badness 10000) has occurred while \output is active. \newpage for a command that does not have these effects.
FootnotesDefinitionsPage breakingTop Footnotes footnotes, creating Place a footnote at the bottom of the current page, as here.
Noel Coward quipped that having to read a footnote is like having
to go downstairs to answer the door, while in the midst of making
love.\footnote{%
  I wouldn't know, I don't read footnotes.}
You can put multiple footnotes on a page. If the footnote text becomes too long then it will flow to the next page. You can also produce footnotes by combining the \footnotemark and the \footnotetext commands, which is useful in special circumstances. To make bibliographic references come out as footnotes you need to include a bibliographic style with that behavior (Using BibTeX). \footnote
Insert a footnote.
\footnotemark
Insert footnote mark only.
\footnotetext
Insert footnote text only.
Footnotes in section headings
Chapter or section titles.  
Footnotes in a table
Table footnotes.  
Footnotes of footnotes
Multiple classes of footnotes.  
\footnote\footnotemarkFootnotes
\footnote \footnote Synopsis, one of:
\footnote{text}
\footnote[number]{text}
Place a footnote text at the bottom of the current page.
There are over a thousand footnotes in Gibbon's 
\textit{Decline and Fall of the Roman Empire}.\footnote{%
  After reading an early version with endnotes David Hume complained, 
  ``One is also plagued with his Notes, according to the present Method 
  of printing the Book'' and suggested that they ``only to be printed 
  at the Margin or the Bottom of the Page.''}
The optional argument number allows you to specify the number of the footnote. If you use this then &latex; does not increment the footnote counter. footnotes, symbols instead of numbers \fnsymbol, and footnotes \&arobase;fnsymbol By default, &latex; uses arabic numbers as footnote markers. Change this with something like \renewcommand{\thefootnote}{\fnsymbol{footnote}}, which uses a sequence of symbols (\alph \Alph \arabic \roman \Roman \fnsymbol). To make this change global put that in the preamble. If you make the change local then you may want to reset the counter with \setcounter{footnote}{0}. &latex; determines the spacing of footnotes with two parameters. footnote parameters parameters, for footnotes \footnoterule\footnoterule footnote footnoterule Produces the rule separating the main text on a page from the page&textrsquo;s footnotes. Default dimensions in the standard document classes (except slides, where it does not appear) is: vertical thickness of 0.4pt, and horizontal size of 0.4\columnwidth long. Change the rule with something like this.
\renewcommand{\footnoterule}{% Kerns avoid vertical space
  \kern -3pt                         % This -3 is negative
  \hrule width \textwidth height 1pt % of the sum of this 1
  \kern 2pt}                         % and this 2
\footnotesep\footnotesep footnote footnotesep The height of the strut placed at the beginning of the footnote (\strut). By default, this is set to the normal strut for \footnotesize fonts (Font sizes), therefore there is no extra space between footnotes. This is 6.65pt for 10pt, 7.7pt for 11pt, and 8.4pt for 12pt. Change it as with \setlength{\footnotesep}{11pt}.
The \footnote command is fragile (\protect). &latex;&textrsquo;s default puts many restrictions on where you can use a \footnote; for instance, you cannot use it in an argument to a sectioning command such as \chapter (it can only be used in outer paragraph mode; Modes). There are some workarounds; see following sections. Footnotes, in a minipage mpfootnote counter In a minipage environment the \footnote command uses the mpfootnote counter instead of the footnote counter, so they are numbered independently. They are shown at the bottom of the environment, not at the bottom of the page. And by default they are shown alphabetically. minipage and Footnotes in a table.
\footnotemark\footnotetext\footnoteFootnotes
\footnotemark \footnotemark Synopsis, one of:
\footnotemark
\footnotemark[number]
Put the current footnote mark in the text. To specify associated text for the footnote see \footnotetext. The optional argument number causes the command to use that number to determine the footnote mark. This command can be used in inner paragraph mode (Modes). If you use \footnotemark without the optional argument then it increments the footnote counter but if you use the optional number then it does not. The next example produces several consecutive footnote markers referring to the same footnote.
The first theorem\footnote{Due to Gauss.} 
and the second theorem\footnotemark[\value{footnote}] 
and the third theorem.\footnotemark[\value{footnote}]
If there are intervening footnotes then you must remember the value of the common mark. This example gives the same institutional affiliation to both the first and third authors (\thanks is a version of footnote), by-hand giving the number of the footnote.
\title{A Treatise on the Binomial Theorem}
\author{J Moriarty\thanks{University of Leeds} 
  \and A C Doyle\thanks{Durham University} 
  \and S Holmes\footnotemark[1]}
\begin{document}
\maketitle
This uses a counter to remember the footnote number. The third sentence is followed by the same footnote marker as the first.
\newcounter{footnoteValueSaver}
All babies are illogical.\footnote{%
  Lewis Carroll.}\setcounter{footnoteValueSaver}{\value{footnote}}
Nobody is despised who can manage a crocodile.\footnote{%
  Captain Hook.}
Illogical persons are despised.\footnotemark[\value{footnoteValueSaver}]
Therefore, anyone who can manage a crocodile is not a baby.
package, cleveref cleveref package package, hyperref hyperref package This example accomplishes the same by using the package cleveref.
\usepackage{cleveref}[2012/02/15]   % in preamble 
\crefformat{footnote}{#2\footnotemark[#1]#3}
...
The theorem is from Evers.\footnote{\label{fn:TE}Tinker, Evers, 1994.}
The corollary is from Chance.\footnote{Evers, Chance, 1990.}
But the key lemma is from Tinker.\cref{fn:TE}
package, hyperref hyperref package It will work with the package hyperref.
\footnotetextFootnotes in section headings\footnotemarkFootnotes
\footnotetext \footnotetext Synopsis, one of:
\footnotetext{text}
\footnotetext[number]{text}
Place text at the bottom of the page as a footnote. It pairs with \footnotemark (\footnotemark) and can come anywhere after that command, but must appear in outer paragraph mode (Modes). The optional argument number changes the number of the footnote mark. \footnotemark and Footnotes in a table for usage examples.
Footnotes in section headingsFootnotes in a table\footnotetextFootnotes
Footnotes in section headings footnote, in section headings table of contents, avoiding footnotes Putting a footnote in a section heading, as in:
\section{Full sets\protect\footnote{This material due to ...}}
causes the footnote to appear at the bottom of the page where the section starts, as usual, but also at the bottom of the table of contents, where it is not likely to be desired. The simplest way to have it not appear on the table of contents is to use the optional argument to \section
\section[Please]{Please\footnote{%
  Don't footnote in chapter and section headers!}}
No \protect is needed in front of \footnote here because what gets moved to the table of contents is the optional argument.
Footnotes in a tableFootnotes of footnotesFootnotes in section headingsFootnotes
Footnotes in a table footnote, in a table Inside a tabular or array environment the \footnote command does not work; there is a footnote mark in the table cell but the footnote text does not appear. The solution is to use a minipage environment as here (minipage).
\begin{center}
  \begin{minipage}{\textwidth} \centering
     \begin{tabular}{l|l}
       \textsc{Ship}           &\textsc{Book} \\ \hline 
       \textit{HMS Sophie}     &Master and Commander  \\ 
       \textit{HMS Polychrest} &Post Captain  \\  
       \textit{HMS Lively}     &Post Captain \\
       \textit{HMS Surprise}   &A number of books\footnote{%
                                  Starting with HMS Surprise.}
     \end{tabular}
  \end{minipage}                              
\end{center}
Inside a minipage, footnote marks are lowercase letters. Change that with something like \renewcommand{\thempfootnote}{\arabic{mpfootnote}} (\alph \Alph \arabic \roman \Roman \fnsymbol). The footnotes in the prior example appear at the bottom of the minipage. To have them appear at the bottom of the main page, as part of the regular footnote sequence, use the \footnotemark and \footnotetext pair and make a new counter.
\newcounter{mpFootnoteValueSaver}
\begin{center}
  \begin{minipage}{\textwidth}
    \setcounter{mpFootnoteValueSaver}{\value{footnote}} \centering
     \begin{tabular}{l|l}
       \textsc{Woman}             &\textsc{Relationship} \\ \hline 
       Mona                       &Attached\footnotemark  \\ 
       Diana Villiers             &Eventual wife  \\  
       Christine Hatherleigh Wood &Fiance\footnotemark 
     \end{tabular}
  \end{minipage}%  percent sign keeps footnote text close to minipage
  \stepcounter{mpFootnoteValueSaver}%
    \footnotetext[\value{mpFootnoteValueSaver}]{%
      Little is known other than her death.}%
  \stepcounter{mpFootnoteValueSaver}%
    \footnotetext[\value{mpFootnoteValueSaver}]{%
      Relationship is unresolved in XXI.}
\end{center}
For a floating table environment (table), use the tablefootnote package.
\usepackage{tablefootnote}  % in preamble
   ...
\begin{table}
  \centering
     \begin{tabular}{l|l}
     \textsc{Date}  &\textsc{Campaign} \\ \hline 
     1862           &Fort Donelson \\ 
     1863           &Vicksburg     \\  
     1865           &Army of Northern Virginia\tablefootnote{%
                      Ending the war.}
     \end{tabular}
    \caption{Forces captured by US Grant}
\end{table}
The footnote appears at the page bottom and is numbered in sequence with other footnotes.
Footnotes of footnotesFootnotes in a tableFootnotes
Footnotes of footnotes footnote, of a footnote package, bigfoot bigfoot package Particularly in the humanities, authors can have multiple classes of footnotes, including having footnotes of footnotes. The package bigfoot extends &latex;&textrsquo;s default footnote mechanism in many ways, including allow these two, as in this example.
\usepackage{bigfoot}    % in preamble
\DeclareNewFootnote{Default}
\DeclareNewFootnote{from}[alph]   % create class \footnotefrom{}
 ...
The third theorem is a partial converse of the 
second.\footnotefrom{%
  First noted in Wilson.\footnote{Second edition only.}}
DefinitionsCountersFootnotesTop Definitions definitions &latex; has support for making new commands of many different kinds. \newcommand & \renewcommand
(Re)define a new command.
\providecommand
Define a new command, if name not used.
\makeatletter & \makeatother
Change the status of the at-sign character.
\&arobase;ifstar
Define your own commands with *-variants.
\newcounter
Define a new counter.
\newlength
Define a new length.
\newsavebox
Define a new box.
\newenvironment & \renewenvironment
Define a new environment.
\newtheorem
Define a new theorem-like environment.
\newfont
Define a new font name.
\protect
Using tricky commands.
\ignorespaces & \ignorespacesafterend
Discard extra spaces.
\newcommand & \renewcommand\providecommandDefinitions
\newcommand & \renewcommand \newcommand commands, defining new ones commands, redefining defining a new command new commands, defining Synopses, one of:
\newcommand{\cmd}{defn}
\newcommand{\cmd}[nargs]{defn}
\newcommand{\cmd}[nargs][optargdefault]{defn}
\newcommand*{\cmd}{defn}
\newcommand*{\cmd}[nargs]{defn}
\newcommand*{\cmd}[nargs][optargdefault]{defn}
or one of these.
\renewcommand{\cmd}[nargs]{defn}
\renewcommand{\cmd}[nargs]{defn}
\renewcommand{\cmd}[nargs][optargdefault]{defn}
\renewcommand*{\cmd}{defn}
\renewcommand*{\cmd}[nargs]{defn}
\renewcommand*{\cmd}[nargs][optargdefault]{defn}
Define or redefine a command. See also the discussion of \DeclareRobustCommand in Class and package commands. starred form, defining new commands *-form, defining new commands The starred form of these two requires that the arguments not contain multiple paragraphs of text (in plain &tex; terms that it not be \long). These are the parameters: cmd Required; the command name. It must begin with a backslash, \, and must not begin with the four letter string \end. For \newcommand, it must not be already defined. For \renewcommand, this name must already be defined. nargs Optional; an integer from 0 to 9, specifying the number of arguments that the command takes, including any optional argument. Omitting this argument is the same as specifying 0, meaning that the command has no arguments. If you redefine a command, the new version can have a different number of arguments than the old version. optargdefault Optional; if this argument is present then the first argument of \cmd is optional, with default value optargdefault (which may be the empty string). If this argument is not present then \cmd does not take an optional argument. positional parameter That is, if \cmd is used with square brackets, as in \cmd[optval]{...}..., then within defn the parameter #1 is set to the value of optval. On the other hand, if \cmd is called without the square brackets then within defn the parameter #1 is set to the value of optargdefault. In either case, the required arguments start with #2. Omitting [optargdefault] is different from having the square brackets with no contents, as in []. The former sets #1 to the value of optargdefault; the latter sets #1 to the empty string. defn Required; the text to be substituted for every occurrence of \cmd. The parameters #1, #2, ... #nargs are replaced by the values that you supply when you call the command (or by the default value if there is an optional argument and you don&textrsquo;t exercise the option).
&tex; ignores spaces in the source following an alphabetic control sequence, as in \cmd . If you actually want a space there, one solution is to type {} after the command (\cmd{} , and another solution is to use an explicit control space (\cmd\ ). A simple example of defining a new command: \newcommand{\RS}{Robin Smith} results in \RS being replaced by the longer text. Redefining an existing command is similar: \renewcommand{\qedsymbol}{{\small QED}}. If you try to define a command and the name has already been used then you get something like LaTeX Error: Command \fred already defined. Or name \end... illegal, see p.192 of the manual. If you try to redefine a command and the name has not yet been used then you get something like LaTeX Error: \hank undefined. Here the first command definition has no arguments, and the second has one required argument.
\newcommand{\student}{Ms~O'Leary}
\newcommand{\defref}[1]{Definition~\ref{#1}}
Use the first as in I highly recommend \student{} to you. The second has a variable, so that \defref{def:basis} expands to Definition~\ref{def:basis}, which ultimately expands to something like Definition~3.14. Similarly, but with two required arguments: \newcommand{\nbym}[2]{$#1 \times #2$} is invoked as \nbym{2}{k}. This example has an optional argument.
\newcommand{\salutation}[1][Sir or Madam]{Dear #1:}
Then \salutation gives Dear Sir or Madam: while \salutation[John] gives Dear John:. And \salutation[] gives Dear :. This example has an optional argument and two required arguments.
\newcommand{\lawyers}[3][company]{#2, #3, and~#1}
I employ \lawyers[Howe]{Dewey}{Cheatem}.
The output is I employ Dewey, Cheatem, and Howe. The optional argument, the Howe, is associated with #1, while Dewey and Cheatem are associated with #2 and #3. Because of the optional argument, \lawyers{Dewey}{Cheatem} will give the output I employ Dewey, Cheatem, and company. The braces around defn do not define a group, that is, they do not delimit the scope of the result of expanding defn. For example, with \newcommand{\shipname}[1]{\it #1}, in this sentence,
The \shipname{Monitor} met the \shipname{Merrimac}.
the words met the would incorrectly be in italics. The solution is to put another pair of braces inside the definition: \newcommand{\shipname}[1]{{\it #1}}.
\providecommand\makeatletter & \makeatother\newcommand & \renewcommandDefinitions
\providecommand \providecommand commands, defining new ones defining a new command new commands, defining Synopses, one of:
\providecommand{cmd}{defn}
\providecommand{cmd}[nargs]{defn}
\providecommand{cmd}[nargs][optargdefault]{defn}
\providecommand*{cmd}{defn}
\providecommand*{cmd}[nargs]{defn}
\providecommand*{cmd}[nargs][optargdefault]{defn}
Defines a command, as long as no command of this name already exists. If no command of this name already exists then this has the same effect as \newcommand. If a command of this name already exists then this definition does nothing. This is particularly useful in a file that may be loaded more than once, such as a style file. \newcommand & \renewcommand for the description of the arguments. This example
\providecommand{\myaffiliation}{Saint Michael's College}
\providecommand{\myaffiliation}{Saint Michael's College}
From \myaffiliation.
outputs From Saint Michael's College. Unlike \newcommand, the repeated use of \providecommand does not give an error.
\makeatletter & \makeatother\&arobase;ifstar\providecommandDefinitions
\makeatletter & \makeatother Synopsis:
\makeatletter
  ... definition of commands with &arobase; in their name ..
\makeatother
Use this pair when you redefine &latex; commands that are named with an at-sign character &arobase;. The \makeatletter declaration makes the at-sign character have the category code of a letter, code 11. The \makeatother declaration sets the category code of the at-sign to code 12, its default value. As &tex; reads characters, it assigns each one a category code, or catcode character category code category code, character catcode. For instance, it assigns the backslash character \ the catcode 0. Command names consist of a category 0 character, ordinarily backslash, followed by letters, category 11 characters (except that a command name can also consist of a category 0 character followed by a single non-letter symbol). &latex;&textrsquo;s source code has the convention that some commands use &arobase; in their name. These commands are mainly intended for package or class writers. The convention prevents authors who are just using a package or class from accidentally replacing such a command with one of their own, because by default the at-sign has catcode 12. The pair \makeatletter and \makeatother changes the default code and then changes it back. Use them inside a .tex file, in the preamble, when you are defining or redefining commands named with &arobase;, by having them surround your definition. Don&textrsquo;t use these inside .sty or .cls files since the \usepackage and \documentclass commands already arrange that the at-sign has the character code of a letter, catcode 11. package, macros2e macros2e package For a comprehensive list of macros with an at-sign in their names see http://ctan.org/pkg/macros2e. In this example the class file has a command \thesis&arobase;universityname that the user wants to change. These three lines should go in the preamble, before the \begin{document}.
\makeatletter
\renewcommand{\thesis&arobase;universityname}{Saint Michael's College}
\makeatother
\&arobase;ifstar\newcounter\makeatletter & \makeatotherDefinitions
\&arobase;ifstar \&arobase;ifstar commands, star-variants star-variants, commands Synopsis:
\newcommand{\mycmd}{\&arobase;ifstar{\mycmd&arobase;star}{\mycmd&arobase;nostar}}
\newcommand{\mycmd&arobase;nostar}[nostar-num-args]{nostar-body} 
\newcommand{\mycmd&arobase;star}[star-num-args]{star-body}
Many standard &latex; environments or commands have a variant with the same name but ending with a star character *, an asterisk. Examples are the table and table* environments and the \section and \section* commands. When defining environments, following this pattern is straightforward because \newenvironment and \renewenvironment allow the environment name to contain a star. For commands the situation is more complex. As in the synopsis above, there will be a user-called command, given above as \mycmd, which peeks ahead to see if it is followed by a star. For instance, &latex; does not really have a \section* command; instead, the \section command peeks ahead. This command does not accept arguments but instead expands to one of two commands that do accept arguments. In the synopsis these two are \mycmd&arobase;nostar and \mycmd&arobase;star. They could take the same number of arguments or a different number, or no arguments at all. As always, in a &latex; document a command using at-sign &arobase; must be enclosed inside a \makeatletter ... \makeatother block (\makeatletter & \makeatother). This example of \&arobase;ifstar defines the command \ciel and a variant \ciel*. Both have one required argument. A call to \ciel{night} will return "starry night sky" while \ciel*{blue} will return "starry not blue sky".
\newcommand*{\ciel&arobase;unstarred}[1]{starry #1 sky}
\newcommand*{\ciel&arobase;starred}[1]{starry not #1 sky}
\newcommand*{\ciel}{\&arobase;ifstar{\ciel&arobase;starred}{\ciel&arobase;unstarred}}
In the next example, the starred variant takes a different number of arguments than the unstarred one. With this definition, Agent 007&textrsquo;s ``My name is \agentsecret*{Bond}, \agentsecret{James}{Bond}.'' is equivalent to entering the commands ``My name is \textsc{Bond}, \textit{James} textsc{Bond}.''
\newcommand*{\agentsecret&arobase;unstarred}[2]{\textit{#1} \textsc{#2}}
\newcommand*{\agentsecret&arobase;starred}[1]{\textsc{#1}}
\newcommand*{\agentsecret}{%
  \&arobase;ifstar{\agentsecret&arobase;starred}{\agentsecret&arobase;unstarred}}
There are two sometimes more convenient ways to accomplish the work of \&arobase;ifstar. The suffix package allows the construct \newcommand\mycommand{unstarred version} followed by \WithSuffix\newcommand\mycommand*{starred version}. And &latex;3 has the xparse package that allows this code.
\NewDocumentCommand\foo{s}{\IfBooleanTF#1
  {starred version}%
  {unstarred version}% 
  }
\newcounter\newlength\&arobase;ifstarDefinitions
\newcounter: Allocating a counter \newcounter counters, defining new Synopsis, one of:
\newcounter{countername}
\newcounter{countername}[supercounter]
Globally defines a new counter named countername and initialize it to zero (Counters). The name countername must consist of letters only. It does not begin with a backslash. This name must not already be in use by another counter. When you use the optional argument [supercounter] then the counter countername will be reset to zero whenever supercounter is incremented. For example, ordinarily subsection is numbered within section so that any time you increment section, either with \stepcounter (\stepcounter) or \refstepcounter (\refstepcounter), then &latex; will reset subsection to zero. This example
\newcounter{asuper}  \setcounter{asuper}{1}
\newcounter{asub}[asuper] \setcounter{asub}{3}   % Note `asuper'
The value of asuper is \arabic{asuper} and of asub is \arabic{asub}.
\stepcounter{asuper}
Now asuper is \arabic{asuper} while asub is \arabic{asub}.
produces The value of asuper is 1 and that of asub is 3 and Now asuper is 2 while asub is 0. If the counter already exists, for instance by entering asuper twice, then you get something like LaTeX Error: Command \c&arobase;asuper already defined. Or name \end... illegal, see p.192 of the manual.. If you use the optional argument then the super counter must already exist. Entering \newcounter{jh}[lh] when lh is not a defined counter will get you LaTeX Error: No counter 'lh' defined.
\newlength\newsavebox\newcounterDefinitions
\newlength \newlength lengths, allocating new rubber lengths, defining new skip register, plain &tex; glue register, plain &tex; Synopsis:
\newlength{arg}
Allocate a new length register (Lengths). The required argument arg must begin with a backslash, \. The new register holds rubber lengths such as 72.27pt or 1in plus.2in minus.1in (a &latex; length register is what plain &tex; calls a skip register). The initial value is zero. The control sequence \arg must not be already defined. An example:
\newlength{\graphichgt}
If you forget the backslash then you get Missing control sequence inserted. If the command sequence already exists then you get something like LaTeX Error: Command \graphichgt already defined. Or name \end... illegal, see p.192 of the manual.
\newsavebox\newenvironment & \renewenvironment\newlengthDefinitions
\newsavebox \newsavebox box, allocating new Synopsis:
\newsavebox{\cmd}
Define \cmd, the string consisting of a backslash followed by cmd, to refer to a new bin for storing material. These bins hold material that has been typeset, to use multiple times or to measure or manipulate (Boxes). The bin name \cmd is required, must start with a backslash, \, and must not already be a defined command. This command is fragile (\protect). This allocates a bin and then puts typeset material into it.
\newsavebox{\logobox}
\savebox{\logobox}{LoGo}
Our logo is \usebox{\logobox}. 
The output is Our logo is LoGo. If there is an already defined bin then you get something like LaTeX Error: Command \logobox already defined. Or name \end... illegal, see p.192 of the manual. The allocation of a box is global.
\newenvironment & \renewenvironment\newtheorem\newsaveboxDefinitions
\newenvironment & \renewenvironment \newenvironment \renewenvironment environments, defining defining new environments redefining environments Synopses, one of:
\newenvironment{env}{begdef}{enddef}
\newenvironment{env}[nargs]{begdef}{enddef}
\newenvironment{env}[nargs][optargdefault]{begdef}{enddef}
\newenvironment*{env}{begdef}{enddef}
\newenvironment*{env}[nargs]{begdef}{enddef}
\newenvironment*{env}[nargs][optargdefault]{begdef}{enddef}
or one of these.
\renewenvironment{env}{begdef}{enddef}
\renewenvironment{env}[nargs]{begdef}{enddef}
\renewenvironment{env}[nargs][optargdefault]{begdef}{enddef}
\renewenvironment*{env}{begdef}{enddef}
\renewenvironment*{env}[nargs]{begdef}{enddef}
\renewenvironment*{env}[nargs][optargdefault]{begdef}{enddef}
Define or redefine the environment env, that is, create the construct \begin{env} ... body ... \end{env}. *-form of environment commands The starred form of these commands requires that the arguments not contain multiple paragraphs of text. However, the body of these environments can contain multiple paragraphs. env Required; the environment name. It consists only of letters or the * character, and thus does not begin with backslash, \. It must not begin with the string end. For \newenvironment, the name env must not be the name of an already existing environment, and also the command \env must be undefined. For \renewenvironment, env must be the name of an existing environment. nargs Optional; an integer from 0 to 9 denoting the number of arguments of that the environment takes. When you use the environment these arguments appear after the \begin, as in \begin{env}{arg1} ... {argn}. Omitting this is equivalent to setting it to 0; the environment will have no arguments. When redefining an environment, the new version can have a different number of arguments than the old version. optargdefault Optional; if this is present then the first argument of the defined environment is optional, with default value optargdefault (which may be the empty string). If this is not in the definition then the environment does not take an optional argument. That is, when optargdefault is present in the definition of the environment then you can start the environment with square brackets, as in \begin{env}[optval]{...} ... \end{env}. In this case, within begdefn the parameter #1 is set to the value of optval. If you call \begin{env} without square brackets, then within begdefn the parameter #1 is set to the value of the default optargdefault. In either case, any required arguments start with #2. Omitting [myval] in the call is different than having the square brackets with no contents, as in []. The former results in #1 expanding to optargdefault; the latter results in #1 expanding to the empty string. begdef Required; the text expanded at every occurrence of \begin{env}. Within begdef, the parameters #1, #2, ... #nargs, are replaced by the values that you supply when you call the environment; see the examples below. enddef Required; the text expanded at every occurrence of \end{env}. This may not contain any parameters, that is, you cannot use #1, #2, etc., here (but see the final example below).
All environments, that is to say the begdef code, the environment body, and the enddef code, are processed within a group. Thus, in the first example below, the effect of the \small is limited to the quote and does not extend to material following the environment. If you try to define an environment and the name has already been used then you get something like LaTeX Error: Command \fred already defined. Or name \end... illegal, see p.192 of the manual. If you try to redefine an environment and the name has not yet been used then you get something like LaTeX Error: Environment hank undefined.. This example gives an environment like &latex;&textrsquo;s quotation except that it will be set in smaller type.
\newenvironment{smallquote}{%
  \small\begin{quotation}
}{%
  \end{quotation}
}
This has an argument, which is set in boldface at the start of a paragraph.
\newenvironment{point}[1]{%
  \noindent\textbf{#1}
}{%
}
This one shows the use of a optional argument; it gives a quotation environment that cites the author.
\newenvironment{citequote}[1][Shakespeare]{%
  \begin{quotation}
  \noindent\textit{#1}: 
}{%
  \end{quotation}
}
The author&textrsquo;s name is optional, and defaults to Shakespeare. In the document, use the environment like this.
\begin{citequote}[Lincoln]
  ...
\end{citequote}
The final example shows how to save the value of an argument to use in enddef, in this case in a box (\sbox & \savebox).
\newsavebox{\quoteauthor}
\newenvironment{citequote}[1][Shakespeare]{%
  \sbox\quoteauthor{#1}%
  \begin{quotation} 
}{%
  \hspace{1em plus 1fill}---\usebox{\quoteauthor}
  \end{quotation}
}
\newtheorem\newfont\newenvironment & \renewenvironmentDefinitions
\newtheorem \newtheorem theorems, defining defining new theorems theorem-like environment environment, theorem-like Synopses:
\newtheorem{name}{title}
\newtheorem{name}{title}[numbered_within]
\newtheorem{name}[numbered_like]{title}
Define a new theorem-like environment. You can specify one of numbered_within and numbered_like, or neither, but not both. The first form, \newtheorem{name}{title}, creates an environment that will be labelled with title; see the first example below. The second form, \newtheorem{name}{title}[numbered_within], creates an environment whose counter is subordinate to the existing counter numbered_within, so this counter will be reset when numbered_within is reset. See the second example below. The third form \newtheorem{name}[numbered_like]{title}, with optional argument between the two required arguments, creates an environment whose counter will share the previously defined counter numbered_like. See the third example. This command creates a counter named name. In addition, unless the optional argument numbered_like is used, inside of the theorem-like environment the current \ref value will be that of \thenumbered_within (\ref). This declaration is global. It is fragile (\protect). Arguments: name The name of the environment. It is a string of letters. It must not begin with a backslash, \. It must not be the name of an existing environment, and the command name \name must not already be defined. title The text to be printed at the beginning of the environment, before the number. For example, Theorem. numbered_within Optional; the name of an already defined counter, usually a sectional unit such as chapter or section. When the numbered_within counter is reset then the name environment&textrsquo;s counter will also be reset. If this optional argument is not used then the command \thename is set to \arabic{name}. numbered_like Optional; the name of an already defined theorem-like environment. The new environment will be numbered in sequence with numbered_like.
Without any optional arguments the environments are numbered sequentially. The example below has a declaration in the preamble that results in Definition 1 and Definition 2 in the output.
\newtheorem{defn}{Definition}
\begin{document}
\section{...}
\begin{defn}
  First def 
\end{defn}

\section{...}
\begin{defn}
  Second def
\end{defn}
This example has the same document body as the prior one. But here \newtheorem&textrsquo;s optional argument numbered_within is given as section, so the output is like Definition 1.1 and Definition 2.1.
\newtheorem{defn}{Definition}[section]
\begin{document}
\section{...}
\begin{defn}
  First def 
\end{defn}

\section{...}
\begin{defn}
  Second def
\end{defn}
In the next example there are two declarations in the preamble, the second of which calls for the new thm environment to use the same counter as defn. It gives Definition 1.1, followed by Theorem 2.1 and Definition 2.2.
\newtheorem{defn}{Definition}[section]
\newtheorem{thm}[defn]{Theorem}
\begin{document}
\section{...}
\begin{defn}
  First def 
\end{defn}

\section{...}
\begin{thm}
  First thm
\end{thm}

\begin{defn}
  Second def
\end{defn}
\newfont\protect\newtheoremDefinitions
\newfont \newfont fonts, new commands for defining new fonts This command is obsolete. This description is here only to help with old documents. New documents should define fonts in families through the New Font Selection Scheme which allows you to, for example, associate a boldface with a roman (Fonts). Synopsis:
\newfont{\cmd}{font description}
Define a command \cmd that will change the current font. The control sequence must not already be defined. It must begin with a backslash, \. at clause, in font definitions design size, in font definitions The font description consists of a fontname and an optional at clause. &latex; will look on your system for a file named fontname.tfm. The at clause can have the form either at dimen or scaled factor, where a factor of 1000 means no scaling. For &latex;&textrsquo;s purposes, all this does is scale all the character and other font dimensions relative to the font&textrsquo;s design size, which is a value defined in the .tfm file. This defines two equivalent fonts and typesets a few characters in each.
\newfont{\testfontat}{cmb10 at 11pt}
\newfont{\testfontscaled}{cmb10 scaled 1100}
\testfontat abc
\testfontscaled abc
\protect\ignorespaces & \ignorespacesafterend\newfontDefinitions
\protect \protect fragile commands robust commands All &latex; commands are either fragile or robust. A fragile command can break when it is used in the argument to certain other commands. Commands that contain data that &latex; writes to an auxiliary file and re-reads later are fragile. This includes material that goes into a table of contents, list of figures, list of tables, etc. Fragile commands also include line breaks, any command that has an optional argument, and many more. To prevent such commands from breaking, one solution is to preceded them with the command \protect. For example, when &latex; runs the \section{section name} command it writes the section name text to the .aux auxiliary file, moving it there for use elsewhere in the document such as in the table of contents. Any argument that is internally expanded by &latex; without typesetting it directly is referred to as a moving arguments moving argument. A command is fragile if it can expand during this process into invalid &tex; code. Some examples of moving arguments are those that appear in the \caption{...} command (figure), in the \thanks{...} command (\maketitle), and in &arobase;-expressions in the tabular and array environments (tabular). If you get strange errors from commands used in moving arguments, try preceding it with \protect. Every fragile commands must be protected with their own \protect. Although usually a \protect command doesn&textrsquo;t hurt, length commands are robust and should not be preceded by a \protect command. Nor can a \protect command be used in the argument to \addtocounter or \setcounter command. In this example the \caption command gives a mysterious error about an extra curly brace. Fix the problem by preceding each \raisebox command with \protect.
\begin{figure}
  ...
  \caption{Company headquarters of A\raisebox{1pt}{B}\raisebox{-1pt}{C}}
\end{figure}
In the next example the \tableofcontents command gives an error because the \(..\) in the section title expands to illegal &tex; in the .toc file. You can solve this by changing \(..\) to \protect\(..\protect\).
\begin{document}
\tableofcontents
...
\section{Einstein's \( e=mc^2 \)}
...
\ignorespaces & \ignorespacesafterend\protectDefinitions
\ignorespaces & \ignorespacesafterend \ignorespaces \ignorespacesafterend spaces, ignore around commands commands, ignore spaces Synopsis:
\ignorespaces
or
\ignorespacesafterend
Both commands cause &latex; to ignore spaces after the end of the command up until the first non-space character. The first is a command from Plain &tex;, and the second is &latex;-specific. The ignorespaces is often used when defining commands via \newcommand, or \newenvironment, or \def. The example below illustrates. It allows a user to show the points values for quiz questions in the margin but it is inconvenient because, as shown in the enumerate list, users must not put any space between the command and the question text.
\newcommand{\points}[1]{\makebox[0pt]{\makebox[10em][l]{#1~pts}}
\begin{enumerate} 
  \item\points{10}no extra space output here
  \item\points{15} extra space between the number and the `extra'
\end{enumerate} 
The solution is to change to this.
\newcommand{\points}[1]{%
  \makebox[0pt]{\makebox[10em][l]{#1~pts}}\ignorespaces}
A second example shows spaces being removed from the front of text. The commands below allow a user to uniformly attach a title to names. But, as given, if a title accidentally starts with a space then \fullname will reproduce that.
\makeatletter
\newcommand{\honorific}[1]{\def\&arobase;honorific{#1}} % remember title
\newcommand{\fullname}[1]{\&arobase;honorific~#1}       % put title before name
\makeatother
\begin{tabular}{|l|}
\honorific{Mr/Ms}  \fullname{Jones} \\  % no extra space here
\honorific{ Mr/Ms} \fullname{Jones}     % extra space before title
\end{tabular}
To fix this, change to \newcommand{\fullname}[1]{\ignorespaces\&arobase;honorific~#1}. The \ignorespaces is also often used in a \newenvironment at the end of the begin clause, that is, as part of the second argument, as in \begin{newenvironment}{env name}{... \ignorespaces}{...}. To strip spaces off the end of an environment use \ignorespacesafterend. An example is that this will show a much larger vertical space between the first and second environments than between the second and third.
\newenvironment{eq}{\begin{equation}}{\end{equation}}
\begin{eq}
e=mc^2
\end{eq}
\begin{equation}
F=ma
\end{equation}
\begin{equation}
E=IR
\end{equation}
Putting a comment character % immediately after the \end{eq} will make the vertical space disappear, but that is inconvenient. The solution is to change to \newenvironment{eq}{\begin{equation}}{\end{equation}\ignorespacesafterend}.
CountersLengthsDefinitionsTop Counters counters, a list of variables, a list of Everything &latex; numbers for you has a counter associated with it. The name of the counter is often the same as the name of the environment or command associated with the number, except that the counter&textrsquo;s name has no backslash \. Thus, associated with the \chapter command is the chapter counter that keeps track of the chapter number. Below is a list of the counters used in &latex;&textrsquo;s standard document classes to control numbering.
part            paragraph       figure          enumi
chapter         subparagraph    table           enumii
section         page            footnote        enumiii
subsection      equation        mpfootnote      enumiv
subsubsection
The mpfootnote counter is used by the \footnote command inside of a minipage (minipage). The counters enumi through enumiv are used in the enumerate environment, for up to four levels of nesting (enumerate). Counters can have any integer value but they are typically positive. New counters are created with \newcounter. \newcounter. \alph \Alph \arabic \roman \Roman \fnsymbol
Print value of a counter.
\usecounter
Use a specified counter in a list environment.
\value
Use the value of a counter in an expression.  
\setcounter
Set the value of a counter.
\addtocounter
Add a quantity to a counter.
\refstepcounter
Add to a counter.
\stepcounter
Add to a counter, resetting subsidiary counters.
\day & \month & \year
Numeric date values.
\alph \Alph \arabic \roman \Roman \fnsymbol\usecounterCounters
\alph \Alph \arabic \roman \Roman \fnsymbol: Printing counters counters, printing Print the value of a counter, in a specified style. For instance, if the counter counter has the value 1 then a \alph{counter} in your source will result in a lowercase letter a appearing in the output. All of these commands take a single counter as an argument, for instance, \alph{enumi}. Note that the counter name does not start with a backslash. \alph{counter}\alph{counter} Print the value of counter in lowercase letters: &textlsquo;a&textrsquo;, &textlsquo;b&textrsquo;, &enddots; If the counter&textrsquo;s value is less than 1 or more than 26 then you get LaTeX Error: Counter too large. \Alph{counter}\Alph{counter} Print in uppercase letters: &textlsquo;A&textrsquo;, &textlsquo;B&textrsquo;, &enddots; If the counter&textrsquo;s value is less than 1 or more than 26 then you get LaTeX Error: Counter too large. \arabic{counter}\arabic{counter} Print in Arabic numbers such as 5 or -2. \roman{counter}\roman{counter} Print in lowercase roman numerals: &textlsquo;i&textrsquo;, &textlsquo;ii&textrsquo;, &enddots; If the counter&textrsquo;s value is less than 1 then you get no warning or error but &latex; does not print anything in the output. \Roman{counter}\Roman{counter} Print in uppercase roman numerals: &textlsquo;I&textrsquo;, &textlsquo;II&textrsquo;, &enddots; If the counter&textrsquo;s value is less than 1 then you get no warning or error but &latex; does not print anything in the output. \fnsymbol{counter}\fnsymbol{counter} Prints the value of counter using a sequence of nine symbols that are traditionally used for labeling footnotes. The value of counter should be between 1 and 9, inclusive. If the counter&textrsquo;s value is less than 0 or more than 9 then you get LaTeX Error: Counter too large, while if it is 0 then you get no error or warning but &latex; does not output anything. Here are the symbols: NumberNameCommandSymbol 1asterisk\ast* 2dagger\dagger2020 3ddagger\ddagger2021 4section-sign\S00A7 5paragraph-sign\P00B6 6double-vert\parallel2016 7double-asterisk\ast\ast** 8 double-dagger\dagger\dagger20202020 9 double-ddagger\ddagger\ddagger20212021
\usecounter\value\alph \Alph \arabic \roman \Roman \fnsymbolCounters
\usecounter \usecounter list items, specifying counter numbered items, specifying counter Synopsis:
\usecounter{counter}
Used in the second argument of the list environment (list), this declares that list items will be numbered by counter. It initializes counter to zero, and arranges that when \item is called without its optional argument then counter is incremented by \refstepcounter, making its value be the current ref value (\ref). This command is fragile (\protect). Put in the document preamble, this example makes a new list environment enumerated with testcounter:
\newcounter{testcounter}
\newenvironment{test}{%
  \begin{list}{}{%
    \usecounter{testcounter}
  }
}{%
  \end{list}
}
\value\setcounter\usecounterCounters
\value \value counters, getting value of Synopsis:
\value{counter}
Expands to the value of the counter counter. (Note that the name of a counter does not begin with a backslash.) This example outputs Test counter is 6. Other counter is 5..
\newcounter{test} \setcounter{test}{5}
\newcounter{other} \setcounter{other}{\value{test}}
\addtocounter{test}{1}

Test counter is \arabic{test}.
Other counter is \arabic{other}.
The \value command is not used for typesetting the value of the counter. For that, see \alph \Alph \arabic \roman \Roman \fnsymbol. It is often used in \setcounter or \addtocounter but \value can be used anywhere that &latex; expects a number, such as in \hspace{\value{foo}\parindent}. It must not be preceded by \protect (\protect). This example inserts \hspace{4\parindent}.
\setcounter{myctr}{3} \addtocounter{myctr}{1}
\hspace{\value{myctr}\parindent}
\setcounter\addtocounter\valueCounters
\setcounter \setcounter counters, setting setting counters Synopsis:
\setcounter{counter}{value}
Globally set the counter counter to have the value of the value argument, which must be an integer. Thus, you can set a counter&textrsquo;s value as \setcounter{section}{5}. Note that the counter name does not start with a backslash. In this example if the counter theorem has value 12 then the second line will print XII.
\setcounter{exercise}{\value{theorem}}
Here it is in Roman: \Roman{exercise}.
\addtocounter\refstepcounter\setcounterCounters
\addtocounter \addtocounter Synopsis:
\addtocounter{counter}{value
Globally increment counter by the amount specified by the value argument, which may be negative. In this example the section value appears as VII.
\setcounter{section}{5}
\addtocounter{section}{2}
Here it is in Roman: \Roman{section}.
\refstepcounter\stepcounter\addtocounterCounters
\refstepcounter \refstepcounter Synopsis:
\refstepcounter{counter}
Globally increments the value of counter by one, as does \stepcounter (\stepcounter). The difference is that this command resets the value of any counter numbered within it. (For the definition of &textldquo;counters numbered within&textrdquo;, \newcounter.) In addition, this command also defines the current \ref value to be the result of \thecounter. While the counter value is set globally, the \ref value is set locally, i.e., inside the current group.
\stepcounter\day & \month & \year\refstepcounterCounters
\stepcounter \stepcounter Synopsis:
\stepcounter{counter}
Globally adds one to counter and resets all counters numbered within it. (For the definition of &textldquo;counters numbered within&textrdquo;, \newcounter.) This command differs from \refstepcounter in that this one does not influence references &textmdash; it does not define the current \ref value to be the result of \thecounter (\refstepcounter).
\day & \month & \year\stepcounterCounters
\day & \month & \year \day \month \year &latex; defines the counter \day for the day of the month (nominally with value between 1 and 31), \month for the month of the year (nominally with value between 1 and 12), and year \year. When &tex; starts up, they are set from the current values on the system. The related command \today produces a string representing the current day (\today). They counters are not updated as the job progresses so in principle they could be incorrect by the end. In addition, &tex; does no sanity check:
\day=-2 \month=13 \year=-4 \today
gives no error or warning and results in the output -2, -4 (the bogus month value produces no output).
LengthsMaking paragraphsCountersTop Lengths lengths, defining and using A length is a measure of distance. Many &latex; commands take a length as an argument. Lengths come in two types. A rigid length such as 10pt does not contain a plus or minus component. (Plain &tex; calls this a dimen.) A rubber length (what Plain &tex; calls a skip) such as as with 1cm plus0.05cm minus0.01cm can contain either or both of those components. In that rubber length, the 1cm is the natural length while the other two, the plus and minus components, allow &tex; to stretch or shrink the length to optimize placement. The illustrations below use these two commands.
% make a black bar 10pt tall and #1 wide
\newcommand{\blackbar}[1]{\rule{#1}{10pt}}

% Make a box around #2 that is #1 wide (excluding the border)
\newcommand{\showhbox}[2]{%
  \fboxsep=0pt\fbox{\hbox to #1{#2}}} 
This example uses those commands to show a black bar 100 points long between XXX and YYY. This length is rigid.
XXX\showhbox{100pt}{\blackbar{100pt}}YYY
As for rubber lengths, shrinking is simpler one: with 1cm minus 0.05cm, the natural length is 1cm but &tex; can shrink it down as far as 0.95cm. Beyond that, &tex; refuses to shrink any more. Thus, below the first one works fine, producing a space of 98 points between the two bars.
XXX\showhbox{300pt}{%
  \blackbar{101pt}\hspace{100pt minus 2pt}\blackbar{101pt}}YYY

XXX\showhbox{300pt}{%
  \blackbar{105pt}\hspace{100pt minus 1pt}\blackbar{105pt}}YYY
But the second one gets a warning like Overfull \hbox (1.0pt too wide) detected at line 17. In the output the first Y is overwritten by the end of the black bar, because the box&textrsquo;s material is wider than the 300pt allocated, as &tex; has refused to shrink the total to less than 309 points. Stretching is like shrinking except that if &tex; is asked to stretch beyond the given amount, it will do it. Here the first line is fine, producing a space of 110 points between the bars.
XXX\showhbox{300pt}{%
  \blackbar{95pt}\hspace{100pt plus 10pt}\blackbar{95pt}}YYY

XXX\showhbox{300pt}{%
  \blackbar{95pt}\hspace{100pt plus 1pt}\blackbar{95pt}}YYY
In the second line &tex; needs a stretch of 10 points and only 1 point was specified. &tex; stretches the space to the required length but it gives you a warning like Underfull \hbox (badness 10000) detected at line 22. (We won&textrsquo;t discuss badness.) You can put both stretch and shrink in the same length, as in 1ex plus 0.05ex minus 0.02ex. If &tex; is setting two or more rubber lengths then it allocates the stretch or shrink in proportion.
XXX\showhbox{300pt}{%
  \blackbar{100pt}%  left
  \hspace{0pt plus 50pt}\blackbar{80pt}\hspace{0pt plus 10pt}%  middle
  \blackbar{100pt}}YYY  % right
The left and right bars take up 100 points, so the middle needs another 100. The middle bar is 80 points so the two \hspace&textrsquo;s must stretch 20 points. Because the two are plus 50pt and plus 10pt, &tex; gets 5/6 of the stretch from the first space and 1/6 from the second. The plus or minus component of a rubber length can contain a fill component, as in 1in plus2fill. This gives the length infinite stretchability or shrinkability so that &tex; could set it to any distance. Here the two figures will be equal-spaced across the page.
\begin{minipage}{\linewidth}
  \hspace{0pt plus 1fill}\includegraphics{godel.png}%
  \hspace{0pt plus 1fill}\includegraphics{einstein.png}%
  \hspace{0pt plus 1fill}
\end{minipage}
&tex; actually has three levels of infinity for glue components: fil, fill, and filll. The later ones are more infinite than the earlier ones. Ordinarily document authors only use the middle one (\hfill and \vfill). Multiplying a rubber length by a number turns it into a rigid length, so that after \setlength{\ylength}{1in plus 0.2in} and \setlength{\zlength}{3\ylength} then the value of \zlength is 3in. Units of length
The units that &latex; knows.
\setlength
Set the value of a length.
\addtolength
Add a quantity to a length.
\settodepth
Set a length to the depth of something.
\settoheight
Set a length to the height of something.
\settowidth
Set a length to the width of something.

Units of length\setlengthLengths
Units of length units, of length &tex; and &latex; know about these units both inside and outside of math mode. pt pt Point units of length pt Point, 1/72.27 inch. The conversion to metric units, to two decimal places, is 1point = 2.85mm = 28.45cm. pc pica pc units of length pc Pica, 12 pt in in inch units of length in Inch, 72.27 pt bp bp Big point units of length bp Big point, 1/72 inch. This length is the definition of a point in PostScript and many desktop publishing systems. cm Centimeter cm units of length cm Centimeter mm Millimeter mm units of length mm Millimeter dd Didot point dd units of length dd Didot point, 1.07 pt cc Cicero cc units of length cc Cicero, 12 dd sp Scaled point sp units of length sp Scaled point, 1/65536 pt
ex x-height ex m-width em em Lengths/em Lengths/en Lengths/ex units of length em units of length en units of length ex Two other lengths that are often used are values set by the designer of the font. The x-height of the current font ex, traditionally the height of the lowercase letter x, is often used for vertical lengths. Similarly em, traditionally the width of the capital letter M, is often used for horizontal lengths (there is also \enspace, which is 0.5em). Use of these can help make a definition work better across font changes. For example, a definition of the vertical space between list items given as \setlength{\itemsep}{1ex plus 0.05ex minus 0.01ex} is more likely to still be reasonable if the font is changed than a definition given in points. mu, math unit mu In math mode, many definitions are expressed in terms of the math unit mu given by 1 em = 18 mu, where the em is taken from the current math symbols family. Spacing in math mode.
\setlength\addtolengthUnits of lengthLengths
\setlength \setlength lengths, setting Synopsis:
\setlength{len}{amount}
Set the length len to amount. The length name len must begin with a backslash, \. The amount can be a rubber length (Lengths). It can be positive, negative or zero, and can be in any units that &latex; understands (Units of length). Below, with &latex;&textrsquo;s defaults the first paragraph will be indented while the second will not.
I told the doctor I broke my leg in two places.

\setlength{\parindent}{0em}
He said stop going to those places.
If you did not declare len with \newlength, for example if you mistype the above as \newlength{\specparindent}\setlength{\sepcparindent}{...}, then you get an error like Undefined control sequence. <argument> \sepcindent. If you omit the backslash at the start of the length name then you get an error like Missing number, treated as zero. <to be read again> \relax l.19 \setlength{specparindent}{0.6\parindent}
\addtolength\settodepth\setlengthLengths
\addtolength \addtolength lengths, adding to Synopsis:
\addtolength{len}{amount}
Increment the length len by amount. The length name len begins with a backslash, \. The amount is a rubber length (Lengths). It can be positive, negative or zero, and can be in any units that &latex; understands (Units of length). Below, if \parskip starts with the value 0pt plus 1pt
Doctor: how is the boy who swallowed the silver dollar?
\addtolength{\parskip}{1pt}

Nurse: no change.
then it has the value 1pt plus 1pt for the second paragraph. If you did not declare the length len with \newlength, if for example you mistype the above as \addtolength{\specparindent}{0.6\praindent}, then you get something like Undefined control sequence. <argument> \praindent. If you leave off the backslash at the start of len, as in \addtolength{parindent}{1pt}, then you get something like You can't use `the letter p' after \advance.
\settodepth\settoheight\addtolengthLengths
\settodepth \settodepth Synopsis:
\settodepth{len}{text}
Set the length len to the depth of box that &latex; gets on typesetting the text argument. The length name len must begin with a backslash, \. This will show how low the character descenders go.
\newlength{\alphabetdepth}
\settodepth{\alphabetdepth}{abcdefghijklmnopqrstuvwxyz}
\the\alphabetdepth
If you did not set aside the length len, if for example you mistype the above as \settodepth{\aplhabetdepth}{abc...}, then you get something like Undefined control sequence. <argument> \aplhabetdepth. If you leave the backslash out of len, as in \settodepth{alphabetdepth}{...} then you get something like Missing number, treated as zero. <to be read again> \setbox.
\settoheight\settowidth\settodepthLengths
\settoheight \settoheight Synopsis:
\settoheight{len}{text}
Sets the length len to the height of box that &latex; gets on typesetting the text argument. The length name len must begin with a backslash, \. This will show how high the characters go.
\newlength{\alphabetheight}
\settoheight{\alphabetheight}{abcdefghijklmnopqrstuvwxyz}
\the\alphabetheight
If no such length len has been declared with \newlength, if for example you mistype as \settoheight{\aplhabetheight}{abc...}, then you get something like Undefined control sequence. <argument> \alphabetheight. If you leave the backslash out of len, as in \settoheight{alphabetheight}{...} then you get something like Missing number, treated as zero. <to be read again> \setbox.
\settowidth\settoheightLengths
\settowidth \settowidth Synopsis:
\settowidth{len}{text}
Set the length len to the width of the box that &latex; gets on typesetting the text argument. The length name len must begin with a backslash, \. This measures the width of the lowercase ASCII alphabet.
\newlength{\alphabetwidth}
\settowidth{\alphabetwidth}{abcdefghijklmnopqrstuvwxyz}
\the\alphabetwidth
If no such length len has been set aside, if for example you mistype the above as \settowidth{\aplhabetwidth}{abc...}, then you get something like Undefined control sequence. <argument> \aplhabetwidth. If you leave the backslash out of len, as in \settoheight{alphabetwidth}{...} then you get something like Missing number, treated as zero. <to be read again> \setbox.
Making paragraphsMath formulasLengthsTop Making paragraphs making paragraphs paragraphs To start a paragraph, just type some text. To end the current paragraph, put an empty line. This is three paragraphs, separated by two empty lines.
It is a truth universally acknowledged, that a single man in possession
of a good fortune, must be in want of a wife.

However little known the feelings or views of such a man may be on his
first entering a neighbourhood, this truth is so well fixed in the minds
of the surrounding families, that he is considered the rightful property
of some one or other of their daughters.

``My dear Mr. Bennet,'' said his lady to him one day,
``have you heard that Netherfield Park is let at last?''
The separator lines must be empty, including not containing a comment character, %. Once &latex; has gathered all of a paragraph&textrsquo;s contents it divides that content into lines in a way that is optimized over the entire paragraph (Line breaking). There are places where a new paragraph is not permitted. Don&textrsquo;t put a blank line in math mode (Modes); here the line before the \end{equation}
\begin{equation}
  2^{|S|} > |S|

\end{equation}
will get you the error Missing $ inserted. Similarly, the blank line in this section argument
\section{aaa

bbb}
gets Runaway argument? {aaa ! Paragraph ended before \&arobase;sect was complete. \par
End the current paragraph.
\indent & \noindent
Go into horizontal mode, possibly with an indent.
\parindent & \parskip
Space added before paragraphs.
Marginal notes
Put remarks in the margin.
\par\indent & \noindentMaking paragraphs
\par \par paragraph, ending Synopsis (note that while reading the input &tex; converts two consecutive newlines to a \par):
\par
End the current paragraph. The usual way to separate paragraphs is with a blank line but the \par command is entirely equivalent. This command is robust (\protect). This example uses \par rather than a blank line simply for readability.
\newcommand{\syllabusLegalese}{%
  \whatCheatingIs\par\whatHappensWhenICatchYou}
In LR mode or a vertical mode the \par command does nothing but it terminates paragraph mode, switching &latex; to vertical mode (Modes). You cannot use the \par command in a math mode. You also cannot use it in the argument of many commands, such as the \section command (Making paragraphs and \newcommand & \renewcommand). The \par command is not the same as the \paragraph command. The latter is, like \section or \subsection, a sectioning unit used by the standard &latex; documents (\subsubsection & \paragraph & \subparagraph). The \par command is not the same as \newline or the line break double backslash, \\. The difference is that \par ends the paragraph, not just the line, and also triggers the addition of the between-paragraph vertical space \parskip (\parindent & \parskip). The output from this example
xyz

\setlength{\parindent}{3in}
\setlength{\parskip}{5in}
\noindent test\indent test1\par test2 
is: after xyz there is a vertical skip of 5 inches and then test appears, aligned with the left margin. On the same line, there is an empty horizontal space of 3 inches and then test1 appears. Finally. there is a vertical space of 5 inches, followed by a fresh paragraph with a paragraph indent of 3 inches, and then &latex; puts the text test2.
\indent & \noindent\parindent & \parskip\parMaking paragraphs
\indent & \noindent \indent \noindent \parindent indent, forcing Synopsis:
\indent
or
\noindent
Go into horizontal mode (Modes). The \indent command first outputs an empty box whose width is \parindent. These commands are robust (\protect). Ordinarily you create a new paragraph by putting in a blank line. \par for the difference between this command and \par. To start a paragraph without an indent, or to continue an interrupted paragraph, use \noindent. In the middle of a paragraph the \noindent command has no effect, because &latex; is already in horizontal mode there. The \indent command&textrsquo;s only effect is to output a space. This example starts a fresh paragraph.
... end of the prior paragraph.

\noindent This paragraph is not indented.
and this continues an interrupted paragraph.
The data 

\begin{center}
  \begin{tabular}{rl} ... \end{tabular}
\end{center}

\noindent shows this clearly.
To omit indentation in the entire document put \setlength{\parindent}{0pt} in the preamble. If you do that, you may want to also set the length of spaces between paragraphs, \parskip (\parindent & \parskip). package, indentfirst indentfirst package Default &latex; styles have the first paragraph after a section that is not indented, as is traditional typesetting in English. To change that, look on CTAN for the package indentfirst.
\parindent & \parskipMarginal notes\indent & \noindentMaking paragraphs
\parindent & \parskip \parindent \parskip paragraph indentation vertical space before paragraphs Synopsis:
\setlength{\parskip}{horizontal len}
\setlength{\parinden}{vertical len}
Both are a rubber lengths (Lengths). They give the indentation of ordinary paragraphs, not paragraphs inside minipages (minipage), and the vertical space between paragraphs. This, put in the preamble,
\setlength{\parindent}{0em}
\setlength{\parskip}{1ex}
arranges that the document will have paragraphs that are not indented, but instead are vertically separated by about the height of a lowercase x. In standard &latex; documents, the default value for \parindent in one-column documents is 15pt when the default text size is 10pt , 17pt for 11pt, and 1.5em for 12pt. In two-column documents it is 1em. The default value for \parskip in &latex;&textrsquo;s standard document styles is 0pt plus1pt.
Marginal notes\parindent & \parskipMaking paragraphs
Marginal notes marginal notes notes in the margin remarks in the margin \marginpar Synopsis, one of:
\marginpar{right}
\marginpar[left]{right}
Create a note in the margin. The first line of the note will have the same baseline as the line in the text where the \marginpar occurs. The margin that &latex; uses for the note depends on the current layout (Document class options) and also on \reversemarginpar (see below). If you are using one-sided layout (document option oneside) then it goes in the right margin. If you are using two-sided layout (document option twoside) then it goes in the outside margin. If you are in two-column layout (document option twocolumn) then it goes in the nearest margin. \reversemarginpar \normalmarginpar If you declare \reversemarginpar then &latex; will place subsequent marginal notes in the opposite margin to that given in the prior paragraph. Revert that to the default position with \normalmarginpar. When you specify the optional argument left then it is used for a note in the left margin, while the mandatory argument right is used for a note in the right margin. Normally, a note&textrsquo;s first word will not be hyphenated. You can enable hyphenation there by beginning left or right with \hspace{0pt}. These parameters affect the formatting of the note: \marginparpush\marginparpush marginal notes marginparpush Minimum vertical space between notes; default 7pt for 12pt documents, 5pt else. \marginparsep\marginparsep marginal notes marginparsep Horizontal space between the main text and the note; default 11pt for 10pt documents, 10pt else. \marginparwidth\marginparwidth marginal notes marginparwidth Width of the note itself; default for a one-sided 10pt document is 90pt, 83pt for 11pt, and 68pt for 12pt; 17pt more in each case for a two-sided document. In two column mode, the default is 48pt. The standard &latex; routine for marginal notes does not prevent notes from falling off the bottom of the page.
Math formulasModesMaking paragraphsTop Math formulas math formulas formulas, math math mode, entering environment, math math environment environment, displaymath displaymath environment environment, equation equation environment Produce mathematical text by putting &latex; into math mode or display math mode (Modes). This example shows both.
The wave equation for \( u \) is
\begin{displaymath}
  \frac{\partial^2u}{\partial t^2} = c^2\nabla^2u
\end{displaymath}
where \( \nabla^2 \) is the spatial Laplacian and \( c \) is constant.
Math mode is for inline mathematics. In the above example it is invoked by the starting \( and finished by the matching ending \). Display math mode is for displayed equations and here is invoked by the displaymath environment. Note that any mathematical text whatever, including mathematical text consisting of just one character, is handled in math mode. When in math mode or display math mode, &latex; handles many aspects of your input text differently than in other text modes. For example,
contrast x+y with \( x+y \)
in math mode the letters are in italics and the spacing around the plus sign is different. There are three ways to make inline formulas, to put &latex; in math mode.
\( mathematical material \)
$ mathematical material $
\begin{math} mathematical material \end{math}
The first form is preferred and the second is quite common, but the third form is rarely used. You can sometimes use one and sometimes another, as in \(x\) and $y$. You can use these in paragraph mode or in LR mode (Modes). To make displayed formulas, put &latex; into display math mode with either:
\begin{displaymath}
  mathematical material
\end{displaymath}
or
\begin{equation}
  mathematical material
\end{equation}
(displaymath, equation). The only difference is that with the equation environment, &latex; puts a formula number alongside the formula. The construct \[ math \] is equivalent to \begin{displaymath} math \end{displaymath}. These environments can only be used in paragraph mode (Modes). \displaystyle The two mathematics modes are similar, but there are some differences. One involves the placement of subscripts and superscripts; in display math mode they are further apart and in inline math mode they are closer together. Sometimes you want the display math typographical treatment to happen in the inline math mode. For this, the \displaystyle declaration forces the size and style of the formula to be that of displaymath. Thus \(\displaystyle \sum_{n=0}^\infty x_n\) will have the limits above and below the summation sign, not next to it. Another example is that
\begin{tabular}{r|cc}
  \textsc{Name}  &\textsc{Series}  &\textsc{Sum}  \\  \hline
  Arithmetic     &\( a+(a+b)+(a+2b)+\cdots+(a+(n-1)b) \)
                   &\( na+(n-1)n\cdot\frac{b}{2}\)  \\
  Geometric      &\( a+ab+ab^2+\cdots+ab^{n-1} \)
                   &\(\displaystyle a\cdot\frac{1-b^n}{1-b}\)  \\
\end{tabular}
because it has no \displaystyle, the Arithmetic line&textrsquo;s fraction will be scrunched. But, because of its \displaystyle, the Geometric line&textrsquo;s fraction will be easy to read, with characters the same size as in the rest of the line. package, amsmath amsmath package package, amsfonts amsfonts package package, mathtools mathtools package The American Mathematical Society has made freely available a set of packages that greatly expand your options for writing mathematics, amsmath and amssymb (also be aware of the mathtools package that is an extension to, and loads, amsmath). New documents that will have mathematical text should use these packages. Descriptions of these packages is outside the scope of this document; see their documentation on CTAN. Subscripts & superscripts
Also known as exponent or index.
Math symbols
Various mathematical squiggles.
Math functions
Math function names like sin and exp.
Math accents
Accents in math.
Over- and Underlining
Things over or under formulas.
Spacing in math mode
Thick, medium, thin, and negative spaces.
Math miscellany
Stuff that doesn&textrsquo;t fit anywhere else.
Subscripts & superscriptsMath symbolsMath formulas
Subscripts & superscripts superscript subscript exponent _ ^ Synopsis (in math mode or display math mode), one of:
base^exp
base^{exp}
or, one of:
base_exp
base_{exp}
Make exp appear as a superscript of base (with the caret character, ^) or a subscript (with underscore, _). In this example the 0&textrsquo;s and 1&textrsquo;s are subscripts while the 2&textrsquo;s are superscripts.
\( (x_0+x_1)^2 \leq (x_0)^2+(x_1)^2 \)
To have the subscript or superscript contain more than one character, surround the expression with curly braces, as in e^{-2x}. This example&textrsquo;s fourth line shows curly braces used to group an expression for the exponent.
\begin{displaymath}
  (3^3)^3=27^3=19\,683
  \qquad
  3^{(3^3)}=3^{27}=7\,625\,597\,484\,987
\end{displaymath}
&latex; knows how to handle a superscript on a superscript, or a subscript on a subscript, or supers on subs, or subs on supers. So, expressions such as e^{x^2} and x_{i_0} give correct output. Note the use in those expressions of curly braces to give the base a determined exp. If you enter \(3^3^3\) then you get Double superscript. &latex; does the right thing when something has both a subscript and a superscript. In this example the integral has both. They come out in the correct place without any author intervention.
\begin{displaymath}
  \int_{x=a}^b f'(x)\,dx = f(b)-f(a)
\end{displaymath}
Note the parentheses around x=a to make the entire expression a subscript. To put a superscript or subscript before a symbol, use a construct like {}_t K^2. The empty curly braces {} give the subscript something to attach to and keeps it from accidentally attaching to a prior symbols. Using the subscript or superscript command outside of math mode or display math mode, as in the expression x^2, will get you the error Missing $ inserted. package, mhchem mhchem package A common reason to want subscripts outside of a mathematics mode is to typeset chemical formulas. There are packages for that such as mhchem; see CTAN.
Math symbolsMath functionsSubscripts & superscriptsMath formulas
Math symbols math symbols symbols, math greek letters package, symbols symbols package &latex; provides almost any mathematical or technical symbol that anyone uses. For example, if you include $\pi$ in your source, you will get the pi symbol 03C0. See the Comprehensive &latex; Symbol List at https://ctan.org/tex-archive/info/symbols/comprehensive/. Here is a list of commonly-used symbols. It is by no means exhaustive. Each symbol is described with a short phrase, and its symbol class, which determines the spacing around it, is given in parenthesis. Unless said otherwise, the commands for these symbols can be used only in math mode. To redefine a command so that it can be used whatever the current mode, see \ensuremath. \|\| 2225 Parallel (relation). Synonym: \parallel. \aleph\aleph 2135 Aleph, transfinite cardinal (ordinary). \alpha\alpha 03B1 Lowercase Greek letter alpha (ordinary). \amalg\amalg 2A3F Disjoint union (binary) \angle\angle 2220 Geometric angle (ordinary). Similar: less-than sign < and angle bracket \langle. \approx\approx 2248 Almost equal to (relation). \ast\ast 2217 Asterisk operator, convolution, six-pointed (binary). Synonym: *, which is often a superscript or subscript, as in the Kleene star. Similar: \star, which is five-pointed, and is sometimes used as a general binary operation, and sometimes reserved for cross-correlation. \asymp\asymp 224D Asymptotically equivalent (relation). \backslash\backslash \ Backslash (ordinary). Similar: set minus \setminus, and \textbackslash for backslash outside of math mode. \beta\beta 03B2 Lowercase Greek letter beta (ordinary). \bigcap\bigcap 22C2 Variable-sized, or n-ary, intersection (operator). Similar: binary intersection \cap. \bigcirc\bigcirc 26AA Circle, larger (binary). Similar: function composition \circ. \bigcup\bigcup 22C3 Variable-sized, or n-ary, union (operator). Similar: binary union \cup. \bigodot\bigodot 2A00 Variable-sized, or n-ary, circled dot operator (operator). \bigoplus\bigoplus 2A01 Variable-sized, or n-ary, circled plus operator (operator). \bigotimes\bigotimes 2A02 Variable-sized, or n-ary, circled times operator (operator). \bigtriangledown\bigtriangledown 25BD Variable-sized, or n-ary, open triangle pointing down (operator). \bigtriangleup\bigtriangleup 25B3 Variable-sized, or n-ary, open triangle pointing up (operator). \bigsqcup\bigsqcup 2A06 Variable-sized, or n-ary, square union (operator). \biguplus\biguplus 2A04 Variable-sized, or n-ary, union operator with a plus (operator). (Note that the name has only one p.) \bigvee\bigvee 22C1 Variable-sized, or n-ary, logical-and (operator). \bigwedge\bigwedge 22C0 Variable-sized, or n-ary, logical-or (operator). \bot\bot 22A5 Up tack, bottom, least element of a partially ordered set, or a contradiction (ordinary). See also \top. \bowtie\bowtie 22C8 Natural join of two relations (relation). \Box\Box 25A1 Modal operator for necessity; square open box (ordinary). Not available in plain &tex;. In &latex; you need to load the amssymb package. \bullet\bullet bullet symbol 2022 Bullet (binary). Similar: multiplication dot \cdot. \cap\cap 2229 Intersection of two sets (binary). Similar: variable-sized operator \bigcap. \cdot\cdot 22C5 Multiplication (binary). Similar: Bullet dot \bullet. \chi\chi 03C7 Lowercase Greek chi (ordinary). \circ\circ 2218 Function composition, ring operator (binary). Similar: variable-sized operator \bigcirc. \clubsuit\clubsuit 2663 Club card suit (ordinary). \complement\complement 2201 Set complement, used as a superscript as in $S^\complement$ (ordinary). Not available in plain &tex;. In &latex; you need to load the amssymb package. Also used: $S^{\mathsf{c}}$ or $\bar{S}$. \cong\cong 2245 Congruent (relation). \coprod\coprod 2210 Coproduct (operator). \cup\cup 222A Union of two sets (binary). Similar: variable-sized operator \bigcup. \dagger\dagger 2020 Dagger relation (binary). \dashv\dashv 22A3 Dash with vertical, reversed turnstile (relation). Similar: turnstile \vdash. \ddagger\ddagger 2021 Double dagger relation (binary). \Delta\Delta 0394 Greek uppercase delta, used for increment (ordinary). \delta\delta 03B4 Greek lowercase delta (ordinary). \Diamond\Diamond 25C7 Large diamond operator (ordinary). Not available in plain &tex;. In &latex; you need to load the amssymb package. \diamond\diamond 22C4 Diamond operator (binary). Similar: large diamond \Diamond, circle bullet \bullet. \diamondsuit\diamondsuit 2662 Diamond card suit (ordinary). \div\div 00F7 Division sign (binary). \doteq\doteq 2250 Approaches the limit (relation). Similar: geometrically equal to \Doteq. \downarrow\downarrow 2193 Down arrow, converges (relation). Similar: \Downarrow double line down arrow. \Downarrow\Downarrow 21D3 Double line down arrow (relation). Similar: \downarrow single line down arrow. \ell\ell 2113 Lowercase cursive letter l (ordinary). \emptyset\emptyset 2205 Empty set symbol (ordinary). The variant form is \varnothing. \epsilon\epsilon 03F5 Lowercase lunate epsilon (ordinary). Similar to Greek text letter. More widely used in mathematics is the script small letter epsilon \varepsilon 03B5. Related: the set membership relation \in 2208. \equiv\equiv 2261 Equivalence (relation). \eta\eta 03B7 Lowercase Greek letter (ordinary). \exists\exists 2203 Existential quantifier (ordinary). \flat\flat 266D Musical flat (ordinary). \forall\forall 2200 Universal quantifier (ordinary). \frown\frown 2322 Downward curving arc (ordinary). \Gamma\Gamma 0393 uppercase Greek letter (ordinary). \gamma\gamma 03B3 Lowercase Greek letter (ordinary). \ge\ge 2265 Greater than or equal to (relation). This is a synonym for \geq. \geq\geq 2265 Greater than or equal to (relation). This is a synonym for \ge. \gets\gets 2190 Is assigned the value (relation). Synonym: \leftarrow. \gg\gg 226B Much greater than (relation). Similar: much less than \ll. \hbar\hbar 210F Planck constant over two pi (ordinary). \heartsuit\heartsuit 2661 Heart card suit (ordinary). \hookleftarrow\hookleftarrow 21A9 Hooked left arrow (relation). \hookrightarrow\hookrightarrow 21AA Hooked right arrow (relation). \iff\iff 27F7 If and only if (relation). It is \Longleftrightarrow with a \thickmuskip on either side. \Im\Im 2111 Imaginary part (ordinary). See: real part \Re. \imath\imath dotless i, math Dotless i; used when you are putting an accent on an i (Math accents). \in\in 2208 Set element (relation). See also: lowercase lunate epsilon \epsilon03F5 and small letter script epsilon \varepsilon. \infty\infty 221E Infinity (ordinary). \int\int 222B Integral (operator). \iota\iota 03B9 Lowercase Greek letter (ordinary). \Join\Join 2A1D Condensed bowtie symbol (relation). Not available in Plain &tex;. \jmath\jmath dotless j, math Dotless j; used when you are putting an accent on a j (Math accents). \kappa\kappa 03BA Lowercase Greek letter (ordinary). \Lambda\Lambda 039B uppercase Greek letter (ordinary). \lambda\lambda 03BB Lowercase Greek letter (ordinary). \land\land 2227 Logical and (binary). This is a synonym for \wedge. See also logical or \lor. \langle\langle 27E8 Left angle, or sequence, bracket (opening). Similar: less-than <. Matches \rangle. \lbrace\lbrace 007B Left curly brace (opening). Synonym: \{. Matches \rbrace. \lbrack\lbrack 005B Left square bracket (opening). Synonym: [. Matches \rbrack. \lceil\lceil 2308 Left ceiling bracket, like a square bracket but with the bottom shaved off (opening). Matches \rceil. \le\le 2264 Less than or equal to (relation). This is a synonym for \leq. \leadsto\leadsto 21DD Squiggly right arrow (relation). Not available in plain &tex;. In &latex; you need to load the amssymb package. To get this symbol outside of math mode you can put \newcommand*{\Leadsto}{\ensuremath{\leadsto}} in the preamble and then use \Leadsto instead. \Leftarrow\Leftarrow 21D0 Is implied by, double-line left arrow (relation). Similar: single-line left arrow \leftarrow. \leftarrow\leftarrow 2190 Single-line left arrow (relation). Synonym: \gets. Similar: double-line left arrow \Leftarrow. \leftharpoondown\leftharpoondown 21BD Single-line left harpoon, barb under bar (relation). \leftharpoonup\leftharpoonup 21BC Single-line left harpoon, barb over bar (relation). \Leftrightarrow\Leftrightarrow 21D4 Bi-implication; double-line double-headed arrow (relation). Similar: single-line double headed arrow \leftrightarrow. \leftrightarrow\leftrightarrow 2194 Single-line double-headed arrow (relation). Similar: double-line double headed arrow \Leftrightarrow. \leq\leq 2264 Less than or equal to (relation). This is a synonym for \le. \lfloor\lfloor 230A Left floor bracket (opening). Matches: \floor. \lhd\lhd 25C1 Arrowhead, that is, triangle, pointing left (binary). Not available in plain &tex;. In &latex; you need to load the amssymb package. For the normal subgroup symbol you should load amssymb and use \vartriangleleft (which is a relation and so gives better spacing). \ll\ll 226A Much less than (relation). Similar: much greater than \gg. \lnot\lnot 00AC Logical negation (ordinary). Synonym: \neg. \longleftarrow\longleftarrow 27F5 Long single-line left arrow (relation). Similar: long double-line left arrow \Longleftarrow. \longleftrightarrow\longleftrightarrow 27F7 Long single-line double-headed arrow (relation). Similar: long double-line double-headed arrow \Longleftrightarrow. \longmapsto\longmapsto 27FC Long single-line left arrow starting with vertical bar (relation). Similar: shorter version \mapsto. \longrightarrow\longrightarrow 27F6 Long single-line right arrow (relation). Similar: long double-line right arrow \Longrightarrow. \lor\lor 2228 Logical or (binary). Synonym: wedge \wedge. \mapsto\mapsto 21A6 Single-line left arrow starting with vertical bar (relation). Similar: longer version \longmapsto. \mho\mho 2127 Conductance, half-circle rotated capital omega (ordinary). Not available in plain &tex;. In &latex; you need to load the amssymb package. \mid\mid 2223 Single-line vertical bar (relation). A typical use of \mid is for a set \{\, x \mid x\geq 5 \,\}. Similar: \vert and | produce the same single-line vertical bar symbol but without any spacing (they fall in class ordinary) and you should not use them as relations but instead only as ordinals, i.e., footnote symbols. For absolute value, see the entry for \vert and for norm see the entry for \Vert. \models\models 22A8 Entails, or satisfies; double turnstile, short double dash (relation). Similar: long double dash \vDash. \mp\mp 2213 Minus or plus (relation). \mu\mu 03BC Lowercase Greek letter (ordinary). \nabla\nabla 2207 Hamilton&textrsquo;s del, or differential, operator (ordinary). \natural\natural 266E Musical natural notation (ordinary). \ne\ne 2260 Not equal (relation). Synonym: \neq. \nearrow\nearrow 2197 North-east arrow (relation). \neg\neg 00AC Logical negation (ordinary). Synonym: \lnot. Sometimes instead used for negation: \sim. \neq\neq 2260 Not equal (relation). Synonym: \ne. \ni\ni 220B Reflected membership epsilon; has the member (relation). Synonym: \owns. Similar: is a member of \in. \not\not 0020Long solidus, or slash, used to overstrike a following operator (relation). Many negated operators are available that don&textrsquo;t require \not, particularly with the amssymb package. For example, \notin is typographically preferable to \not\in. \notin\notin 2209 Not an element of (relation). Similar: not subset of \nsubseteq. \nu\nu 03BD Lowercase Greek letter (ordinary). \nwarrow\nwarrow 2196 North-west arrow (relation). \odot\odot 2299 Dot inside a circle (binary). Similar: variable-sized operator \bigodot. \oint\oint 222E Contour integral, integral with circle in the middle (operator). \Omega\Omega 03A9 uppercase Greek letter (ordinary). \omega\omega 03C9 Lowercase Greek letter (ordinary). \ominus\ominus 2296 Minus sign, or dash, inside a circle (binary). \oplus\oplus 2295 Plus sign inside a circle (binary). Similar: variable-sized operator \bigoplus. \oslash\oslash 2298 Solidus, or slash, inside a circle (binary). \otimes\otimes 2297 Times sign, or cross, inside a circle (binary). Similar: variable-sized operator \bigotimes. \owns\owns 220B Reflected membership epsilon; has the member (relation). Synonym: \ni. Similar: is a member of \in. \parallel\parallel 2225 Parallel (relation). Synonym: \|. \partial\partial 2202 Partial differential (ordinary). \perp\perp 27C2 Perpendicular (relation). Similar: \bot uses the same glyph but the spacing is different because it is in the class ordinary. \phi\phi 03D5 Lowercase Greek letter (ordinary). The variant form is \varphi 03C6. \Pi\Pi 03A0 uppercase Greek letter (ordinary). \pi\pi 03C0 Lowercase Greek letter (ordinary). The variant form is \varpi 03D6. \pm\pm 00B1 Plus or minus (binary). \prec\prec 227A Precedes (relation). Similar: less than <. \preceq\preceq 2AAF Precedes or equals (relation). Similar: less than or equals \leq. \prime\prime 2032 Prime, or minute in a time expression (ordinary). Typically used as a superscript: $f^\prime$; $f^\prime$ and $f'$ produce the same result. An advantage of the second is that $f'''$ produces the desired symbol, that is, the same result as $f^{\prime\prime\prime}$, but uses rather less typing. You can only use \prime in math mode. Using the right single quote ' in text mode produces a different character (apostrophe). \prod\prod 220F Product (operator). \propto\propto 221D Is proportional to (relation) \Psi\Psi 03A8 uppercase Greek letter (ordinary). \psi\psi 03C8 Lowercase Greek letter (ordinary). \rangle\rangle 27E9 Right angle, or sequence, bracket (closing). Similar: greater than >. Matches:\langle. \rbrace\rbrace 007D Right curly brace (closing). Synonym: \}. Matches \lbrace. \rbrack\rbrack 005D Right square bracket (closing). Synonym: ]. Matches \lbrack. \rceil\rceil 2309 Right ceiling bracket (closing). Matches \lceil. \Re\Re 211C Real part, real numbers, cursive capital R (ordinary). Related: double-line, or blackboard bold, R \mathbb{R}; to access this, load the amsfonts package. \restriction\restriction 21BE Restriction of a function (relation). Synonym: \upharpoonright. Not available in plain &tex;. In &latex; you need to load the amssymb package. \revemptyset\revemptyset 29B0 Reversed empty set symbol (ordinary). Related: \varnothing. Not available in plain &tex;. In &latex; you need to load the stix package. \rfloor\rfloor 230B Right floor bracket, a right square bracket with the top cut off (closing). Matches \lfloor. \rhd\rhd 25C1 Arrowhead, that is, triangle, pointing right (binary). Not available in plain &tex;. In &latex; you need to load the amssymb package. For the normal subgroup symbol you should instead load amssymb and use \vartriangleright (which is a relation and so gives better spacing). \rho\rho 03C1 Lowercase Greek letter (ordinary). The variant form is \varrho 03F1. \Rightarrow\Rightarrow 21D2 Implies, right-pointing double line arrow (relation). Similar: right single-line arrow \rightarrow. \rightarrow\rightarrow 2192 Right-pointing single line arrow (relation). Synonym: \to. Similar: right double line arrow \Rightarrow. \rightharpoondown\rightharpoondown 21C1 Right-pointing harpoon with barb below the line (relation). \rightharpoonup\rightharpoonup 21C0 Right-pointing harpoon with barb above the line (relation). \rightleftharpoons\rightleftharpoons 21CC Right harpoon up above left harpoon down (relation). \searrow\searrow 2198 Arrow pointing southeast (relation). \setminus\setminus 29F5 Set difference, reverse solidus or reverse slash, like \ (binary). Similar: backslash \backslash and also \textbackslash outside of math mode. \sharp\sharp 266F Musical sharp (ordinary). \Sigma\Sigma 03A3 uppercase Greek letter (ordinary). \sigma\sigma 03C3 Lowercase Greek letter (ordinary). The variant form is \varsigma 03C2. \sim\sim 223C Similar, in a relation (relation). \simeq\simeq 2243 Similar or equal to, in a relation (relation). \smallint\smallint 222B Integral sign that does not change to a larger size in a display (operator). \smile\smile 2323 Upward curving arc, smile (ordinary). \spadesuit\spadesuit 2660 Spade card suit (ordinary). \sqcap\sqcap 2293 Square intersection symbol (binary). Similar: intersection cap. \sqcup\sqcup 2294 Square union symbol (binary). Similar: union cup. Related: variable-sized operator \bigsqcup. \sqsubset\sqsubset 228F Square subset symbol (relation). Similar: subset \subset. Not available in plain &tex;. In &latex; you need to load the amssymb package. \sqsubseteq\sqsubseteq 2291 Square subset or equal symbol (binary). Similar: subset or equal to \subseteq. \sqsupset\sqsupset 2290 Square superset symbol (relation). Similar: superset \supset. Not available in plain &tex;. In &latex; you need to load the amssymb package. \sqsupseteq\sqsupseteq 2292 Square superset or equal symbol (binary). Similar: superset or equal \supseteq. \star\star 22C6 Five-pointed star, sometimes used as a general binary operation but sometimes reserved for cross-correlation (binary). Similar: the synonyms asterisk * and \ast, which are six-pointed, and more often appear as a superscript or subscript, as with the Kleene star. \subset\subset 2282 Subset (occasionally, is implied by) (relation). \subseteq\subseteq 2286 Subset or equal to (relation). \succ\succ 227B Comes after, succeeds (relation). Similar: is less than >. \succeq\succeq 2AB0 Succeeds or is equal to (relation). Similar: less than or equal to \leq. \sum\sum 2211 Summation (operator). Similar: Greek capital sigma \Sigma. \supset\supset 2283 Superset (relation). \supseteq\supseteq 2287 Superset or equal to (relation). \surd\surd 221A Radical symbol (ordinary). The &latex; command \sqrt{...} typesets the square root of the argument, with a bar that extends to cover the argument. \swarrow\swarrow 2199 Southwest-pointing arrow (relation). \tau\tau 03C4 Lowercase Greek letter (ordinary). \theta\theta 03B8 Lowercase Greek letter (ordinary). The variant form is \vartheta 03D1. \times\times 00D7 Primary school multiplication sign (binary). See also \cdot. \to\to 2192 Right-pointing single line arrow (relation). Synonym: \rightarrow. \top\top 22A4 Top, greatest element of a partially ordered set (ordinary). See also \bot. \triangle\triangle 25B3 Triangle (ordinary). \triangleleft\triangleleft 25C1 Not-filled triangle pointing left (binary). Similar: \lhd. For the normal subgroup symbol you should load amssymb and use \vartriangleleft (which is a relation and so gives better spacing). \triangleright\triangleright 25B7 Not-filled triangle pointing right (binary). For the normal subgroup symbol you should instead load amssymb and use \vartriangleright (which is a relation and so gives better spacing). \unlhd\unlhd 22B4 Left-pointing not-filled underlined arrowhead, that is, triangle, with a line under (binary). Not available in plain &tex;. In &latex; you need to load the amssymb package. For the normal subgroup symbol load amssymb and use \vartrianglelefteq (which is a relation and so gives better spacing). \unrhd\unrhd 22B5 Right-pointing not-filled underlined arrowhead, that is, triangle, with a line under (binary). Not available in plain &tex;. In &latex; you need to load the amssymb package. For the normal subgroup symbol load amssymb and use \vartrianglerighteq (which is a relation and so gives better spacing). \Uparrow\Uparrow 21D1 Double-line upward-pointing arrow (relation). Similar: single-line up-pointing arrow \uparrow. \uparrow\uparrow 2191 Single-line upward-pointing arrow, diverges (relation). Similar: double-line up-pointing arrow \Uparrow. \Updownarrow\Updownarrow 21D5 Double-line upward-and-downward-pointing arrow (relation). Similar: single-line upward-and-downward-pointing arrow \updownarrow. \updownarrow\updownarrow 2195 Single-line upward-and-downward-pointing arrow (relation). Similar: double-line upward-and-downward-pointing arrow \Updownarrow. \upharpoonright\upharpoonright 21BE Up harpoon, with barb on right side (relation). Synonym: &backslashchar;restriction. Not available in plain &tex;. In &latex; you need to load the amssymb package. \uplus\uplus 228E Multiset union, a union symbol with a plus symbol in the middle (binary). Similar: union \cup. Related: variable-sized operator \biguplus. \Upsilon\Upsilon 03A5 uppercase Greek letter (ordinary). \upsilon\upsilon 03C5 Lowercase Greek letter (ordinary). \varepsilon\varepsilon 03B5 Small letter script epsilon (ordinary). This is more widely used in mathematics than the non-variant lunate epsilon form \epsilon 03F5. Related: set membership \in. \vanothing\vanothing 2205 Empty set symbol. Similar: \emptyset. Related: \revemptyset. Not available in plain &tex;. In &latex; you need to load the amssymb package. \varphi\varphi 03C6 Variant on the lowercase Greek letter (ordinary). The non-variant form is \phi 03D5. \varpi\varpi 03D6 Variant on the lowercase Greek letter (ordinary). The non-variant form is \pi 03C0. \varrho\varrho 03F1 Variant on the lowercase Greek letter (ordinary). The non-variant form is \rho 03C1. \varsigma\varsigma 03C2 Variant on the lowercase Greek letter (ordinary). The non-variant form is \sigma 03C3. \vartheta\vartheta 03D1 Variant on the lowercase Greek letter (ordinary). The non-variant form is \theta 03B8. \vdash\vdash 22A2 Provable; turnstile, vertical and a dash (relation). Similar: turnstile rotated a half-circle \dashv. \vee\vee 2228 Logical or; a downwards v shape (binary). Related: logical and \wedge. Similar: variable-sized operator \bigvee. \Vert\Vert 2016 Vertical double bar (ordinary). Similar: vertical single bar \vert. For a norm symbol, you can use the mathtools package and put in your preamble \DeclarePairedDelimiter\norm{\lVert}{\rVert}. This gives you three command variants for double-line vertical bars that are correctly horizontally spaced: if in the document body you write the starred version $\norm*{M^\perp}$ then the height of the vertical bars will match the height of the argument, whereas with \norm{M^\perp} the bars do not grow with the height of the argument but instead are the default height, and \norm[size command]{M^\perp} also gives bars that do not grow but are set to the size given in the size command, e.g., \Bigg. \vert\vert 007C Single line vertical bar (ordinary). Similar: double-line vertical bar \Vert. For such that, as in the definition of a set, use \mid because it is a relation. For absolute value you can use the mathtools package and in your preamble put \DeclarePairedDelimiter\abs{\lvert}{\rvert}. This gives you three command variants for single-line vertical bars that are correctly horizontally spaced: if in the document body you write the starred version $\abs*{\frac{22}{7}}$ then the height of the vertical bars will match the height of the argument, whereas with \abs{\frac{22}{7}} the bars do not grow with the height of the argument but instead are the default height, and \abs[size command]{\frac{22}{7}} also gives bars that do not grow but are set to the size given in the size command, e.g., \Bigg. \wedge\wedge 2227 Logical and (binary). Synonym: \land. See also logical or \vee. Similar: variable-sized operator \bigwedge. \wp\wp 2118 Weierstrass p (ordinary). \wr\wr 2240 Wreath product (binary). \Xi\Xi 039E uppercase Greek letter (ordinary). \xi\xi 03BE Lowercase Greek letter (ordinary). \zeta\zeta 03B6 Lowercase Greek letter (ordinary). The following symbols are most often used in plain text but &latex; provides versions to use in mathematical text. \mathdollar\mathdollar Dollar sign in math mode: $. \mathparagraph\mathparagraph Paragraph sign (pilcrow) in math mode, 00B6. \mathsection\mathsection Section sign in math mode 00A7. \mathsterling\mathsterling Sterling sign in math mode: £. \mathunderscore\mathunderscore Underscore in math mode: _. Blackboard bold
Doublestruck characters.
Calligraphic
Cursive characters.
\boldmath & \unboldmath
Symbols in boldface.
Dots
Ellipses, etc.
Blackboard boldCalligraphicMath symbols Blackboard bold blackboard bold doublestruck Synopsis:
\usepackage{amssymb}   % in preamble
  ... 
\mathbb{uppercase-letter}
Provide blackboard bold symbols, sometimes also known as doublestruck letters, used to denote number sets such as the natural numbers, the integers, etc. Here
\( \forall n \in \mathbb{N}, n^2 \geq 0 \)
the \mathbb{N} gives blackboard bold symbol 2115 representing the natural numbers. If you use other than an uppercase letter then you do not get an error but you get strange results, including unexpected characters. There are packages that give access to symbols other than just the capital letters; look on CTAN.
Calligraphic\boldmath & \unboldmathBlackboard boldMath symbols Calligraphic calligraphic fonts script fonts fonts, script Synopsis:
\mathcal{uppercase-letters}
Use a script-like font. In this example the graph identifier is output in a cursive font.
Let the graph be \( \mathcal{G} \).
If you use something other than an uppercase letter then you do not get an error. Instead you get unexpected output. For instance, \mathcal{g} outputs a close curly brace symbol, while \mathcal{+} outputs a plus sign.
\boldmath & \unboldmathDotsCalligraphicMath symbols \boldmath & \unboldmath boldface mathematics symbols, boldface \boldmath \unboldmath Synopsis (used in paragraph mode or LR mode):
\boldmath \( math \)
or
\unboldmath \( math \)
\boldmath \unboldmath Declarations to change the letters and symbols in math to be in a bold font, or to countermand that and bring back the regular (non-bold) default. They must be used when not in math mode or display math mode (Modes). Both commands are fragile (\protect). In this example each \boldmath command takes place inside an \mbox,
we have $\mbox{\boldmath \( v \)} = 5\cdot\mbox{\boldmath \( u \)$}$
which means \boldmath is only called in a text mode, here LR mode, and explains why &latex; must switch to math mode to set v and u. If you use either command inside math mode, as with Trouble: \( \boldmath x \), then you get something like LaTeX Font Warning: Command \boldmath invalid in math mode on input line 11 and LaTeX Font Warning: Command \mathversion invalid in math mode on input line 11. package, bm bm package There are many issues with \boldmath. New documents should use the bm package provided by the &latex; Project team. A complete description is outside the scope of this document (see the full documentation on CTAN) but even this small example
\usepackage{bm}   % in preamble
...
we have $\bm{v} = 5\cdot\bm{u}$
shows that it is an improvement over \boldmath.
Dots\boldmath & \unboldmathMath symbols Dots, horizontal or vertical ellipses dots Ellipses are the three dots (usually three) indicating that a pattern continues.
\begin{array}{cccc}
  a_{0,0}    &a_{0,1}   &a_{0,2} &\ldots \\
  a_{1,0}    &\ddots                     \\
  \vdots
\end{array}
&latex; provides these. ellipses cdots \cdots\cdots Horizontal ellipsis with the dots raised to the center of the line, as in 22EF. Used as: \( a_0\cdot a_1\cdots a_{n-1} \). ellipses ddots \ddots\ddots Diagonal ellipsis, 22F1. See the above array example for a usage. ellipses ldots \ldots\ldots Ellipsis on the baseline, 2026. Used as: \( x_0,\ldots x_{n-1} \). Another example is the above array example. A synonym is \mathellipsis. A synonym from the amsmath package is \hdots. You can also use this command outside of mathematical text, as in The gears, brakes, \ldots{} are all broken. (In a paragraph mode or LR mode a synonym for \ldots is \dots.) ellipses vdots \vdots\vdots Vertical ellipsis, 22EE. See the above array example for a usage. package, amsmath amsmath package The amsmath package has the command \dots to semantically mark up ellipses. This example produces two different-looking outputs for the first two uses of the \dots command.
\usepackage{amsmath}  % in preamble
  ...
Suppose that \( p_0, p_1, \dots, p_{n-1} \) lists all of the primes.
Observe that \( p_0\cdot p_1 \dots \cdot p_{n-1} +1 \) is not a
  multiple of any \( p_i \).
Conclusion: there are infinitely many primes \( p_0, p_1, \dotsc \).
In the first line &latex; looks to the comma following \dots to determine that it should output an ellipsis on the baseline. The second line has a \cdot following \dots so &latex; outputs an ellipsis that is on the math axis, vertically centered. However, the third usage has no follow-on character so you have to tell &latex; what to do. You can use one of the commands: \dotsc if you need the ellipsis appropriate for a comma following, \dotsb if you need the ellipses that fits when the dots are followed by a binary operator or relation symbol, \dotsi for dots with integrals, or \dotso for others.
Math functionsMath accentsMath symbolsMath formulas
Math functions math functions functions, math These commands produce roman function names in math mode with proper spacing. \arccos\arccos Inverse cosine \arcsin\arcsin Inverse sine \arctan\arctan Inverse tangent \arg\arg Angle between the real axis and a point in the complex plane \bmod\bmod Binary modulo operator, used as in \( 5\bmod 3=2 \) \cos\cos Cosine \cosh\cosh Hyperbolic cosine \cot\cot Cotangent \coth\coth Hyperbolic cotangent \csc\csc Cosecant \deg\deg Degrees \det\det Determinant \dim\dim Dimension \exp\exp Exponential \gcd\gcd Greatest common divisor \hom\hom Homomorphism \inf\inf Infinum \ker\ker Kernel \lg\lg Base 2 logarithm \lim\lim Limit \liminf\liminf Limit inferior \limsup\limsup Limit superior \ln\ln Natural logarithm \log\log Logarithm \max\max Maximum \min\min Minimum \pmod\pmod Parenthesized modulus, as used in \( 5\equiv 2\pmod 3 \) \Pr\Pr Probability \sec\sec Secant \sin\sin Sine \sinh\sinh Hyperbolic sine \sup\sup sup \tan\tan Tangent \tanh\tanh Hyperbolic tangent package, amsmath amsmath package The amsmath package adds improvements on some of these, and also allows you to define your own. The full documentation is on CTAN, but briefly, you can define an identity operator with \DeclareMathOperator{\identity}{id} that is like the ones above but prints as id. The starred form \DeclareMathOperator*{\op}{op} sets any limits above and below, as is traditional with \lim, \sup, or \max.
Math accentsOver- and UnderliningMath functionsMath formulas
Math accents math accents accents, mathematical &latex; provides a variety of commands for producing accented letters in math. These are different from accents in normal text (Accents). \acute\acute acute accent, math Math acute accent \bar\bar bar-over accent, math macron accent, math Math bar-over accent \breve\breve breve accent, math Math breve accent \check\check check accent, math hacek accent, math Math hacek (check) accent \ddot\ddot double dot accent, math Math dieresis accent \dot\dot overdot accent, math dot over accent, math Math dot accent \grave\grave grave accent, math Math grave accent \hat\hat hat accent, math circumflex accent, math Math hat (circumflex) accent \mathring\mathring ring accent, math Math ring accent \tilde\tilde tilde accent, math Math tilde accent \vec\vec vector symbol, math Math vector symbol \widehat\widehat wide hat accent, math Math wide hat accent \widetilde\widetilde wide tilde accent, math Math wide tilde accent When you are putting an accent on an i or a j, the tradition is to use one without a dot, \imath or jmath (Math symbols).
Over- and UnderliningSpacing in math modeMath accentsMath formulas
Over- and Underlining overlining underlining &latex; provides commands for making overlines or underlines, or putting braces over or under some material. \underline{text}\underline{text} Underline text. Works inside math mode, and outside. The line is always completely below the text, taking account of descenders, so in \(\underline{y}\) the line is lower than in \(\underline{x}\). This command is fragile (\protect). package, ulem ulem package Note that the package ulem does text mode underlining and allows line breaking as well as a number of other features. See the documentation on CTAN. See also \hrulefill & \dotfill for producing a line, for such things as a signature. \overline{text}\overline{text} Put a horizontal line over text. Works inside math mode, and outside. For example, \overline{x+y}. Note that this differs from the command \bar (Math accents). \underbrace{math}\underbrace{math} Put a brace under math. For example, this (1-\underbrace{1/2)+(1/2}-1/3) emphasizes the telescoping part. Attach text to the brace by using subscript, _, or superscript, ^, as here.
\begin{displaymath}
  1+1/2+\underbrace{1/3+1/4}_{>1/2}+
       \underbrace{1/5+1/6+1/7+1/8}_{>1/2}+\cdots
\end{displaymath}
The superscript appears on top of the expression, and so can look unconnected to the underbrace.
\overbrace{math}\overbrace{math} Put a brace over math, as with \overbrace{x+x+\cdots+x}^{\mbox{\(k\) times}}. See also \underbrace.
package, mathtools mathtools package The package mathtools adds an over- and underbrace, as well as some improvements on the braces. See the documentation on CTAN.
Spacing in math modeMath miscellanyOver- and UnderliningMath formulas
Spacing in math mode spacing within math mode math mode, spacing When typesetting mathematics, &latex; puts in spacing according to the normal rules for mathematics texts. If you enter y=m x then &latex; ignores the space and in the output the m is next to the x, as y=mx. But &latex;&textrsquo;s rules sometimes need tweaking. For example, in an integral the tradition is to put a small extra space between the f(x) and the dx, here done with the \, command.
\int_0^1 f(x)\,dx
&latex; provides the commands that follow for use in math mode. Many of these spacing definitions are expressed in terms of the math unit mu. It is defined as 1/18em, where the em is taken from the current math symbols family (Units of length). Thus, a \thickspace is something like 5/18 times the width of a M. \; \; \thickspace spacing in math mode thickspace Synonym: \thickspace. Normally 5.0mu plus 5.0mu. Math mode only. \: \> \: \> \medspace spacing in math mode medspace Synonym: \medspace. Normally 4.0mu plus 2.0mu minus 4.0mu. Math mode only. \, \, \thinspace thin space Spacing in math mode/\thinspace spacing in math mode thinspace Synonym: \thinspace. Normally 3mu, which is 1/6em. Can be used in both math mode and text mode (\thinspace & \negthinspace). This space is widely used, for instance between the function and the infinitesimal in an integral \int f(x)\,dx and, if an author does this, before punctuation in a displayed equation.
The antiderivative is
\begin{equation}
  3x^{-1/2}+3^{1/2}\,.
\end{equation}
\! \! \negthinspace thin space, negative spacing in math mode negthinspace A negative thin space. Normally -3mu. The \! command is math mode only but the \negthinspace command is available for text mode (\thinspace & \negthinspace). \quad quad \quad spacing in math mode quad This is 18mu, that is, 1em. This is often used for space surrounding equations or expressions, for instance for the space between two equations inside a displaymath environment. It is available in both text and math mode. \qquad \qquad spacing in math mode qquad A length of 2 quads, that is, 36mu = 2em. It is available in both text and math mode.
\smash
Eliminate height or depth of a subformula.
\phantom & \vphantom & \hphantom
Make empty box with the same size as the argument.
\smash\phantom & \vphantom & \hphantomSpacing in math mode \smash vertical spacing, math mode math mode, vertical space Synopsis:
\smash{subformula}
Typeset subformula as if its height and depth were zero. In this example the exponential is so tall that without the \smash command &latex; would separate its line from the line above it, and the uneven line spacing might be unsightly.
To compute the tetration $\smash{2^{2^{2^2}}}$,
evaluate from the top down, as $2^{2^4}=2^{16}=65536$.
(Because of the \smash the printed expression could run into the line above so you may want to wait until the final version of the document to make such adjustments.) This pictures the effect of \smash by using \fbox to surround the box that &latex; will put on the line. The \blackbar command makes a bar extending from 10 points below the baseline to 20 points above.
\newcommand{\blackbar}{\rule[-10pt]{5pt}{30pt}}
\fbox{\blackbar}
\fbox{\smash{\blackbar}}
The first box that &latex; places is 20 points high and 10 points deep. But the second box is treated by &latex; as having zero height and zero depth, despite that the ink printed on the page still extends well above and below the line. The \smash command appears often in mathematics to adjust the size of an element that surrounds a subformula. Here the first radical extends below the baseline while the second lies just on the baseline.
\begin{equation}
\sqrt{\sum_{0\leq k< n} f(k)}
\sqrt{\vphantom{\sum}\smash{\sum_{0\leq k< n}} f(k)}
\end{equation}
Note the use of \vphantom to give the \sqrt command an argument with the height of the \sum (\phantom & \vphantom & \hphantom). While most often used in mathematics, the \smash command can appear in other contexts. However, it doesn&textrsquo;t change into horizontal mode. So if it starts a paragraph then you should first put a \leavevmode, as in the bottom line below.
xxx xxx xxx

\smash{yyy}  % no paragraph indent

\leavevmode\smash{zzz}  % usual paragraph indent
package, mathtools mathtools package The package mathtools has operators that provide even finer control over smashing a subformula box.
\phantom & \vphantom & \hphantom\smashSpacing in math mode \phantom & \vphantom & \hphantom spacing, math mode horizontal spacing vertical spacing math mode, spacing invisible character character, invisible Synopsis:
\phantom{subformula}
or
\vphantom{subformula}
or
\hphantom{subformula}
The \phantom command creates a box with the same height, depth, and width as subformula, but empty. That is, this command causes &latex; to typeset the box but not its ink. The \vphantom variant also produces an invisible box with the same height and depth as subformula, but it has width zero. And \hphantom makes a box with the same width as subformula but with height and depth zero. Without the \vphantom in this example, the top bars of the two square roots would be at different heights.
\( \sqrt{\vphantom{a^3}a}\cdot\sqrt{a^3} \)
The \vphantom{a^3} causes the first \sqrt to have inside it a box of the same height as the second \sqrt, so &latex; makes the bars align. These commands often are combined with \smash. \smash for another example of the use of \vphantom. package, mathtools mathtools package The three phantom commands appear often but note that &latex; provides a suite of other commands to work with box sizes that may be more convenient, including \makebox (\mbox & \makebox) as well as \settodepth (\settodepth), \settoheight (\settoheight), and \settowidth (\settowidth). In addition, the mathtools package has many commands that offer fine-grained control over spacing. package, amsmath amsmath package All three commands produce an ordinary box, without any special mathematics status. So to do something like attaching a superscript you should give it such a status, for example with the \operatorname command from the package amsmath. While most often used in mathematics, these three can appear in other contexts. However, they don&textrsquo;t cause &latex; to change into horizontal mode. So if one of these starts a paragraph then you should prefix it with \leavevmode.
Math miscellanySpacing in math modeMath formulas
Math miscellany math miscellany &latex; contains a wide variety of mathematics facilities. Here are some that don&textrsquo;t fit into other categories. Colon character & \colon
Colon.
\*
Discretionary multiplication.
\frac
Fraction.
\left & \right
Paired delimiters.
\sqrt
Radicals.
\stackrel
Text over a relation.
Colon character & \colon\*Math miscellany Colon character : & \colon : colon character : \colon Synopsis, one of:
:
\colon
In mathematics, the colon character, :, is a relation.
With side ratios \( 3:4 \) and \( 4:5 \), the triangle is right.
package, amsmath amsmath package Ordinary &latex; defines \colon to produce the colon character with the spacing appropriate for punctuation, as in set-builder notation \{x\colon 0\leq x<1\}. package, amsmath amsmath package But the widely-used amsmath package defines \colon for use in the definition of functions f\colon D\to C. So if you want the colon character as a punctuation then use \mathpunct{:}.
\*\fracColon character & \colonMath miscellany \* multiplication, discretionary breaks, multiplication discretionary line breaks, multiplication discretionary discretionary breaks, multiplication \* Synopsis:
\*
A multiplication symbol that allows a line break. If there is a break then &latex; puts a \times symbol, 00D7, before that break. In \( A_1\* A_2\* A_3\* A_4 \), if there is no line break then &latex; outputs it as though it were \( A_1 A_2 A_3 A_4 \). If a line break does happen, for example between the two middle ones, then &latex; sets it like \( A_1 A_2 \times \), followed by the break, followed by \( A_3 A_4 \).
\frac\left & \right\*Math miscellany \frac fraction \frac Synopsis:
\frac{numerator}{denominator}
Produces the fraction. Used as: \begin{displaymath} \frac{1}{\sqrt{2\pi\sigma}} \end{displaymath}. In inline math mode it comes out small; see the discussion of \displaystyle (Math formulas).
\left & \right\sqrt\fracMath miscellany \left & \right delimiters, paired paired delimiters matching parentheses matching brackets null delimiter \left \right Synopsis:
\left delimiter1 ... \right delimiter2
Make matching parentheses, braces, or other delimiters. The delimiters are sized according to the math they enclose. This makes a unit vector surrounded by appropriate-height parentheses.
\begin{equation}
  \left(\begin{array}{c}
    1   \\
    0   \\
  \end{array}\right)
Every \left must have a matching \right. Leaving out the \left( in the above gets Extra \right. Leaving off the \right) gets You can't use `\eqno' in math mode. However, the two delimiters delimiter1 and delimiter2 need not match. A common case is that you want an unmatched brace, as below. Use a period, ., as a null delimiter.
\begin{equation}
  f(n)=\left\{\begin{array}{ll}
                1             &\mbox{--if \(n=0\)} \\
                f(n-1)+3n^2   &\mbox{--else}       
       \end{array}\right.
\end{equation}
Note that to get a curly brace as a delimiter you must prefix it with a backslash, \{.
\sqrt\stackrel\left & \rightMath miscellany \sqrt square root roots radical \sqrt Synopsis, one of:
\sqrt{arg}
\sqrt[root-number]{arg}
The square root, or optionally other roots, of arg. The optional argument root-number gives the root, i.e., enter the cube root of x+y as \sqrt[3]{x+y}. The radical grows with the size of arg (as the height of the radical grows, the angle on the leftmost part gets steeper, until for a large enough arg, it is vertical). &latex; has a separate \surd character (Math symbols).
\stackrel\sqrtMath miscellany \stackrel stack math relation, text above \stackrel Synopsis, one of:
\stackrel{text}{relation}
Put text above relation. To put a function name above an arrow enter \stackrel{f}{\longrightarrow}.
ModesPage stylesMath formulasTop Modes modes As &latex; processes your document, at any point it is in one of six modes. They fall into three categories of two each, the horizontal modes, the math modes, and the vertical modes. Some commands only work in one mode or another (in particular, many commands only work in one of the math modes), and error messages will refer to these. modes paragraph mode paragraph mode Paragraph mode is what &latex; is in when processing ordinary text. It breaks the input text into lines and breaks the lines into pages. This is the mode &latex; is in most of the time. left-to-right mode LR mode modes lr mode LR mode (for left-to-right mode; in plain &tex; this is called restricted horizontal mode) is in effect when &latex; starts making a box with an \mbox command. As in paragraph mode, &latex;&textrsquo;s output is a string of words with spaces between them. Unlike in paragraph mode, in LR mode &latex; never starts a new line, it just keeps going from left to right. (Although &latex; will not complain that the LR box is too long, when it is finished and next tries to put that box into a line, it could very well complain that the finished LR box won&textrsquo;t fit there.) math mode modes math mode Math mode is when &latex; is generating an inline mathematical formula. display math mode Display math mode is when &latex; is generating a displayed mathematical formula. (Displayed formulas differ somewhat from inline ones. One example is that the placement of the subscript on \int differs in the two situations.) vertical mode modes vertical mode Vertical mode is when &latex; is building the list of lines and other material making the output page. This is the mode &latex; is in when it starts a document. internal vertical mode modes internal vertical mode Internal vertical mode is in effect when &latex; starts making a \vbox. This is the vertical analogue of LR mode. For instance, if you begin a &latex; article with Let \( x \) be ... then these are the modes: first &latex; starts every document in vertical mode, then it reads the L and switches to paragraph mode, then the next switch happens at the \( where &latex; changes to math mode, and then when it leaves the formula it pops back to paragraph mode. inner paragraph mode outer paragraph mode modes inner paragraph mode modes outer paragraph mode Paragraph mode has two subcases. If you use a \parbox command or a minipage then &latex; is put into paragraph mode. But it will not put a page break here. Inside one of these boxes, called a parbox, &latex; is in inner paragraph mode. Its more usual situation, where it can put page breaks, is outer paragraph mode (Page breaking). \ensuremath
Ensure that math mode is active.
\ensuremathModes
\ensuremath Synopsis:
\ensuremath{formula}
Ensure that formula is typeset in math mode. For instance, you can redefine commands that ordinarily can be used only in math mode, so that they can be used both in math and in plain text.
\newcommand{\dx}{\ensuremath{dx}}
In $\int f(x)\, \dx$, the \dx{} is an infinitesimal.
Caution: the \ensuremath command is useful but not a panacea.
\newcommand{\alf}{\ensuremath{\alpha}}
You get an alpha in text mode: \alf.
But compare the correct spacing in $\alf+\alf$ with that in \alf+\alf.
Best is to typeset math things in a math mode.
Page stylesSpacesModesTop Page styles styles, page page styles The style of a page determines where &latex; places the components of that page, such as headers and footers, and the text body. This includes pages in the main part of the document but also includes special pages such as the title page of a book, a page from an index, or the first page of an article. package, fancyhdr fancyhdr package The package fancyhdr is very helpful for constructing page styles. See its documentation on CTAN. \maketitle
Generate a title page.
\pagenumbering
Set the style used for page numbers.
\pagestyle
Change the headings/footings style.
\thispagestyle
Change the headings/footings style for this page.
\maketitle\pagenumberingPage styles
\maketitle titles, making \maketitle Synopsis:
\maketitle
Generate a title. In the standard classes the title appears on a separate page, except in the article class where it is at the top of the first page. (Document class options for information about the titlepage document class option.) This example shows \maketitle appearing in its usual place, immediately after \begin{document}.
\documentclass{article}
\title{Constructing a Nuclear Reactor Using Only Coconuts}
\author{Jonas Grumby\thanks{%
    With the support of a Ginger Grant from the Roy Hinkley Society.} \\
  Skipper, \textit{Minnow}
  \and
  Willy Gilligan\thanks{%
    Thanks to the Mary Ann Summers foundation
    and to Thurston and Lovey Howell.}           \\
  Mate, \textit{Minnow}
  }
\date{1964-Sep-26}
\begin{document}
\maketitle
Just sit right back and you'll hear a tale, a tale of a fateful trip.
That started from this tropic port, aboard this tiny ship. The mate was
a mighty sailin' man, the Skipper brave and sure. Five passengers set
sail that day for a three hour tour. A three hour tour.
  ...
You tell &latex; the information used to produce the title by making the following declarations. These must come before the \maketitle, either in the preamble or in the document body. \author{name1 \and name2 \and ...}\author{name1 \and name2 \and ...} author, for titlepage \\ for \author \and for \author Required. Declare the document author or authors. The argument is a list of authors separated by \and commands. To separate lines within a single author&textrsquo;s entry, for instance to give the author&textrsquo;s institution or address, use a double backslash, \\. If you omit the \author declaration then you get LaTeX Warning: No \author given. \date{text}\date{text} date, for titlepage Optional. Declare text to be the document&textrsquo;s date. The text doesn&textrsquo;t need to be in a date format; it can be any text at all. If you omit \date then &latex; uses the current date (\today). To have no date, instead use \date{}. \thanks{text}\thanks{text} thanks, for titlepage credit footnote Optional. Produce a footnote. You can use it in the author information for acknowledgements as illustrated above, but you can also use it in the title, or any place a footnote makes sense. It can be any text at all so you can use it for any purpose, such as to print an email address. \title{text}\title{text} title, for titlepage \\ for \title Required. Declare text to be the title of the document. Get line breaks inside text with a double backslash, \\. If you omit the \title declaration then you get LaTeX Error: No \title given. To make your own title page, see titlepage. You can either create this as a one-off or you can include it as part of a renewed \maketitle command. (Many publishers will provide a class to use in place of article that formats the title according to their house requirements.)
\pagenumbering\pagestyle\maketitlePage styles
\pagenumbering \pagenumbering page numbering style Synopsis:
\pagenumbering{number-style}
Specifies the style of page numbers, and resets the page number. The numbering style is reflected on the page, and also in the table of contents and other page references. This declaration has global scope so its effect is not delimited by braces or environments. In this example, before the Main section the pages are numbered a, etc. Starting on the page containing that section, the pages are numbered 1, etc.
\begin{document}\pagenumbering{alph}
  ...
\section{Main}\pagenumbering{arabic}
  ...
The argument number-style is one of the following (see also \alph \Alph \arabic \roman \Roman \fnsymbol). arabic Arabic numerals: 1, 2, &dots; roman lowercase Roman numerals: i, ii, &dots; Roman uppercase Roman numerals: I, II, &dots; alph lowercase letters: a, b, &dots; If you have more than 26 pages then you get LaTeX Error: Counter too large. Alph uppercase letters: A, B, &dots; If you have more than 26 pages then you get LaTeX Error: Counter too large. gobble package, hyperref hyperref package &latex; does not output a page number, although it does get reset. References to that page also are blank. (This does not work with the popular package hyperref so to have the page number not appear you may want to instead use \pagestyle{empty} or \thispagestyle{empty}.)
Traditionally, if a document has front matter&textmdash;preface, table of contents, etc.&textmdash;then it is numbered with lowercase Roman numerals. The main matter of a document uses arabic. \frontmatter & \mainmatter & \backmatter. If you want to address where the page number appears on the page, see \pagestyle. If you want to change the value of page number then you will manipulate the page counter (Counters).
\pagestyle\thispagestyle\pagenumberingPage styles
\pagestyle \pagestyle header style footer style running header and footer style Synopsis:
\pagestyle{style}
Declaration that specifies how the page headers and footers are typeset, from the current page onwards. package, fancyhdr fancyhdr package A discussion with an example is below. Note first that the package fancyhdr is now the standard way to manipulate headers and footers. New documents that need to do anything other than one of the standard options below should use this package. See its documentation on CTAN. Values for style: plain The header is empty. The footer contains only a page number, centered. empty The header and footer is empty. headings Put running headers and footers on each page. The document style specifies what goes in there; see the discussion below. myheadings Custom headers, specified via the \markboth or the \markright commands.
Some discussion of the motivation for &latex;&textrsquo;s mechanism will help you work with the options headings or myheadings. The document source below produces an article, two-sided, with the pagestyle headings. On this document&textrsquo;s left hand pages, &latex; wants (in addition to the page number) the title of the current section. On its right hand pages &latex; wants the title of the current subsection. When it makes up a page, &latex; gets this information from the commands \leftmark and \rightmark. So it is up to \section and \subsection to store that information there.
\documentclass[twoside]{article}
\pagestyle{headings}
\begin{document}
  ... \section{Section 1} ... \subsection{Subsection 1.1} ...
\section{Section 2}
  ...
\subsection{Subsection 2.1}
  ...
\subsection{Subsection 2.2}
  ...
Suppose that the second section falls on a left page. Although when the page starts it is in the first section, &latex; will put Section 2 in the left page header. As to the right header, if no subsection starts before the end of the right page then &latex; blanks the right hand header. If a subsection does appear before the right page finishes then there are two cases. If at least one subsection starts on the right hand page then &latex; will put in the right header the title of the first subsection starting on that right page. If at least one of 2.1, 2.2, &dots;, starts on the left page but none starts on the right then &latex; puts in the right hand header the title of the last subsection to start, that is, the one in effect during the right hand page. To accomplish this, in a two-sided article, &latex; has \section issue a command \markboth, setting \leftmark to Section 2 and setting \rightmark to blank. And, &latex; has \subsection issue a command \markright, setting \rightmark to Subsection 2.1, etc. Here are the descriptions of \markboth and \markright: \markboth{left-head}{right-head}\markboth{left-head}{right-head} Sets both the right hand and left hand heading information for either a page style of headings or myheadings. A left hand page heading left-head is generated by the last \markboth command before the end of the page. A right hand page heading right-head is generated by the first \markboth or \markright that comes on the page if there is one, otherwise by the last one that came before that page. \markright{right}\markright{right} Sets the right hand page heading, leaving the left unchanged.
\thispagestyle\pagestylePage styles
\thispagestyle \thispagestyle page style, this page Synopsis:
\thispagestyle{style}
Works in the same way as the \pagestyle (\pagestyle), except that it changes to style for the current page only. This declaration has global scope, so its effect is not delimited by braces or environments. Often the first page of a chapter or section has a different style. For example, this &latex; book document has the first page of the first chapter in plain style, as is the default (Page styles).
\documentclass{book}
\pagestyle{headings}
\begin{document}
\chapter{First chapter}
  ...
\chapter{Second chapter}\thispagestyle{empty}
  ...
The plain style has a page number on it, centered in the footer. To make the page entirely empty, the command \thispagestyle{empty} immediately follows the second \chapter.
SpacesBoxesPage stylesTop Spaces spaces white space &latex; has many ways to produce white (or filled) space. Some of these are best suited to mathematical text; see Spacing in math mode. Some spacing commands are suitable for both regular text and mathematical text; versions of some of these commands are in this chapter.
Horizontal space 
\enspace & \quad & \qquad
Traditional horizontal spaces.  
\hspace
Any horizontal space.  
\hfill
Stretchable horizontal space.  
\hss
Infinitely stretchable/shrinkable horizontal space.
\spacefactor
Stretchability of following space
\(SPACE)
Backslash-space; and explicit space.
~
Tie, an unbreakable space.
\thinspace & \negthinspace
One-sixth of an em, and negative one-sixth.  
\/
Italic correction.
\hrulefill & \dotfill
Stretchable horizontal rule or dots.
Vertical space
\bigskip & \medskip & \smallskip
Inter-paragraph vertical spaces.
\bigbreak & \medbreak & \smallbreak
Inter-paragraph space and page breaks.
\strut
Ensure height of a line.
\vspace
Vertical space.
\vfill
Stretchable vertical space.
\addvspace
Add arbitrary vertical space if needed.
\enspace & \quad & \qquad\hspaceSpaces
\enspace & \quad & \qquad \enspace \quad \qquad Synopsis, one of:
\enspace
\quad
\qquad
Insert a horizontal space of 1/2em, 1em, or 2em. The em is a length defined by a font designer, often thought of as being the width of a capital M. One advantage of describing space in ems is that it can be more portable across documents than an absolute measurement such as points (Lengths/em). This puts a suitable gap between two graphics.
\begin{center}
  \includegraphics{womensmile.png}%
  \qquad\includegraphics{mensmile.png}
\end{center}
Spacing in math mode for \quad and \qquad. These are lengths from centuries of typesetting and so may be a better choice in many circumstances than arbitrary lengths, such as you get with \hspace.
\hspace\hfill\enspace & \quad & \qquadSpaces
\hspace \hspace Synopsis, one of:
\hspace{length}
\hspace*{length}
Insert the horizontal space length. The length can be positive, negative, or zero; adding negative space is like backspacing. It is a rubber length, that is, it may contain a plus or minus component, or both (Lengths). Because the space is stretchable and shrinkable, it is sometimes called glue. This makes a line with Name: an inch from the right margin.
\noindent\makebox[\linewidth][r]{Name:\hspace{1in}}
The *-version inserts horizontal space that non-discardable. More precisely, when &tex; breaks a paragraph into lines any white space&textmdash;glues and kerns&textmdash;that come at a line break are discarded. The *-version avoids that (technically, it adds a non-discardable invisible item in front of the space). In this example
\parbox{0.8\linewidth}{%
  Fill in each blank: Four \hspace*{1in} and seven years ago our
  fathers brought forth on this continent, a new \hspace*{1in},
  conceived in \hspace*{1in}, and dedicated to the proposition
  that all men are created \hspace*{1in}.}
the 1 inch blank following conceived in falls at the start of a line. If you erase the * then &latex; discards the blank. Here, the \hspace separates the three graphics.
\begin{center}
  \includegraphics{lion.png}%   comment keeps out extra space
  \hspace{1cm minus 0.25cm}\includegraphics{tiger.png}%
  \hspace{1cm minus 0.25cm}\includegraphics{bear.png}
\end{center}
Because the argument to each \hspace has minus 0.25cm, each can shrink a little if the three figures are too wide. But each space won&textrsquo;t shrink more than 0.25cm (Lengths).
\hfill\hss\hspaceSpaces
\hfill \hfill stretch, infinite horizontal infinite horizontal stretch Synopsis:
\hfill
Produce a rubber length which has no natural space but that can stretch horizontally as far as needed (Lengths). This creates a one-line paragraph with Name: on the left side of the page and Quiz One on the right.
\noindent Name:\hfill Quiz One
\fill The \hfill command is equivalent to \hspace{\fill} and so the space can be discarded at line breaks. To avoid that instead use \hspace*{\fill} (\hspace). Here the graphs are evenly spaced in the middle of the figure.
\newcommand*{\vcenteredhbox}[1]{\begin{tabular}{&arobase;{}c&arobase;{}}#1\end{tabular}}
  ...
\begin{figure}
  \hspace*{\fill}%
  \vcenteredhbox{\includegraphics{graph0.png}}%
    \hfill\vcenteredhbox{\includegraphics{graph1.png}}%
  \hspace*{\fill}%
  \caption{Comparison of two graphs} \label{fig:twographs}
\end{figure}
Note the \hspace*&textrsquo;s where the space could otherwise be dropped.
\hss\spacefactor\hfillSpaces
\hss \hss horizontal space horizontal space, stretchable space, inserting horizontal Synopsis:
\hss
Produce a horizontal space that is infinitely shrinkable as well as infinitely stretchable (this command is a &tex; primitive). &latex; authors should reach first for the \makebox command to get the effects of \hss (\mbox & \makebox). Here, the first line&textrsquo;s \hss makes the Z stick out to the right, overwriting the Y. In the second line the Z sticks out to the left, overwriting the X.
X\hbox to 0pt{Z\hss}Y
X\hbox to 0pt{\hss Z}Y
Without the \hss you get something like Overfull \hbox (6.11111pt too wide) detected at line 20.
\spacefactor\(SPACE)\hssSpaces
\spacefactor Synopsis:
\spacefactor=integer
\spacefactor Influence &latex;&textrsquo;s glue stretch and shrink behavior. Most user-level documents do not use this command. While &latex; is laying out the material, it may stretch or shrink the gaps between words. (This space is not a character; it is called the interword glue; \hspace). The \spacefactor command (from Plain &tex;) allows you to, for instance, have the space after a period stretch more than the space after a word-ending letter. After &latex; places each character, or rule or other box, it sets a parameter called the space factor. If the next thing in the input is a space then this parameter affects how much stretching or shrinking can happen. A space factor that is larger than the normal value means that the glue can stretch more and shrink less. Normally, the space factor is 1000. This value is in effect following most characters, and any non-character box or math formula. But it is 3000 after a period, exclamation mark, or question mark, it is 2000 after a colon, 1500 after a semicolon, 1250 after a comma, and 0 after a right parenthesis or bracket, or closing double quote or single quote. Finally, it is 999 after a capital letter. If the space factor f is 1000 then the glue gap will be the font&textrsquo;s normal space value (for Computer Modern Roman 10 point this is 3.3333 points). Otherwise, if the space factor f is greater than 2000 then &tex; adds the font&textrsquo;s extra space value (for Computer Modern Roman 10 point this is 1.11111 points), and then the font&textrsquo;s normal stretch value is multiplied by f /1000 and the normal shrink value is multiplied by 1000/f (for Computer Modern Roman 10 point these are 1.66666 and 1.11111 points). For example, consider the period ending A man's best friend is his dog. After it, &tex; puts in a fixed extra space, and also allows the glue to stretch 3 times as much and shrink 1/3 as much, as the glue after friend, which does not end in a period. The rules for space factors are even more complex because they play additional roles. In practice, there are two consequences. First, if a period or other punctuation is followed by a right parenthesis or bracket, or right single or double quote then the spacing effect of that period carries through those characters (that is, the following glue will have increased stretch and shrink). Second, if punctuation comes after a capital letter then its effect is not in place so you get an ordinary space. This second case also affects abbreviations that do not end in a capital letter (\&arobase;). You can only use \spacefactor in paragraph mode or LR mode (Modes). You can see the current value with \the\spacefactor or \showthe\spacefactor. (Comment, not really related to \spacefactor: if you get errors like You can't use `\spacefactor' in vertical mode, or You can't use `\spacefactor' in math mode., or Improper \spacefactor then you have probably tried to redefine an internal command. \makeatletter & \makeatother.) \&arobase;
Distinguish sentence-ending periods from abbreviations.  
\frenchspacing
Equal interword and inter-sentence space.
\normalsfcodes
Restore space factor settings to the default.
\&arobase;\frenchspacing\spacefactor \&arobase; \&arobase; at-sign period, sentence-ending period, abbreviation-ending period, spacing after \AT Synopsis:
capital-letter\&arobase;.    
Treat a period as sentence-ending, where &latex; would otherwise think it is part of an abbreviation. &latex; thinks that a period ends an abbreviation if the period comes after a capital letter, and otherwise thinks the period ends the sentence. By default, in justifying a line &latex; adjusts the space after a sentence-ending period (or a question mark, exclamation point, comma, or colon) more than it adjusts the space between words (\spacefactor). This example shows the two cases to remember.
The songs \textit{Red Guitar}, etc.\ are by Loudon Wainwright~III\&arobase;.
The second period ends the sentence, despite that it is preceded by a capital. We tell &latex; that it ends the sentence by putting \&arobase; before it. The first period ends the abbreviation etc. but not the sentence. The backslash-space, \ , produces a mid-sentence space. So: if you have a capital letter followed by a period that ends the sentence, then put \&arobase; before the period. This holds even if there is an intervening right parenthesis or bracket, or right single or double quote, because the spacing effect of that period carries through those characters. For example, this
Use the \textit{Instructional Practices Guide},
(a book by the MAA)\&arobase;.
will have correct inter-sentence spacing after the period. The \&arobase; command is only for a text mode. If you use it outside of a text mode then you get You can't use `\spacefactor' in vertical mode (Modes). Comment: the converse case is a period ending an abbreviation whose last letter is not a capital letter, and that abbreviation is not the last word in the sentence. For that case follow the period with a backslash-space, (\ ), or a tie, (~), or \&arobase;. Examples are Nat.\ Acad.\ Science, and Mr.~Bean, and (manure, etc.\&arobase;) for sale (note in the last one that the \&arobase; comes before the closing parenthesis).
\frenchspacing\normalsfcodes\&arobase;\spacefactor \frenchspacing \frenchspacing \nonfrenchspacing spacing, inter-sentence Synopsis, one of:
\frenchspacing
\nonfrenchspacing
The first declaration causes &latex; to treat spacing between sentences in the same way as spacing between words in the middle of a sentence. The second causes spacing between sentences to stretch or shrink more (\spacefactor); this is the default. Some typographic traditions, including English, prefer to adjust the space between sentences (or spaces following a question mark, exclamation point, comma, or colon) more than the space between words that are in the middle of a sentence. Declaring \frenchspacing (the command is from Plain &tex;) switches to the tradition that all spaces are treated equally.
\normalsfcodes\frenchspacing\spacefactor \normalsfcodes \normalsfcodes spacing, inter-sentence Synopsis:
\normalsfcodes
Reset the &latex; space factor values to the default (\spacefactor).
\(SPACE)~\spacefactorSpaces
Backslash-space, \ \NEWLINE \SPACE \TAB This section refers to the command consisting of two characters, a backslash followed by a space. Synopsis:
\    
Produce a space. By default it produces white space of length 3.33333pt plus 1.66666pt minus 1.11111pt. When you type one or more blanks between words, &latex; produces white space. But that is different than an explicit space. This illustrates.
\begin{tabular}{l}
One blank: makes some space \\
Three blanks:   in a row \\
Three spaces:\ \ \ in a row \\
\end{tabular}
On the first line &latex; puts some space after the colon. On the second line &latex; collapses the three blanks to output one whitespace, so you end with the same space after the colon as in the first line. &latex; would similarly collapse a blank followed by a tab, or a blank and a newline and a blank. However, the bottom line asks for three spaces so the white area is wider. That is, the backslash-space command creates a fixed amount of horizontal space. (Note that you can define a horizontal space of any width at all with \hspace; see \hspace.) The backslash-space command has two main uses. It is often used after control sequences to keep them from gobbling the space that follows, as in \TeX\ is nice. (But using curly parentheses, as in \TeX{} is best, has the advantage of still working if the next character is a period.) The other common use is that it marks a period as ending an abbreviation instead of ending a sentence, as in So says Prof.\ Smith (\&arobase;). Under normal circumstances, \tab and \newline are equivalent to backslash-space, \ .
~\thinspace & \negthinspace\(SPACE)Spaces
~ ~ tie space, hard space, unbreakable NBSP Synopsis:
before~after
The tie character, ~, produces a space between before and after at which the line will not be broken. By default the white space has length 3.33333pt plus 1.66666pt minus 1.11111pt (Lengths). Here &latex; will not break the line between the final two words.
Thanks to Prof.~Lerman.
In addition, despite the period, &latex; does not use the end-of-sentence spacing (\&arobase;). Ties prevent the end of line separation of things where that could cause confusion. But they also reduce &latex;&textrsquo;s options when it breaks lines into paragraphs, so you can use too many. They are also matters of taste, sometimes alarmingly dogmatic taste, among readers. Nevertheless, here are some usage models, many of them from the &tex;book. Between an enumerator and its item, such as in references: Chapter~12, or Theorem~\ref{th:Wilsons}, or Figure~\ref{fig:KGraph}. When cases are enumerated inline: (b)~Show that $f(x)$ is (1)~continuous, and (2)~bounded. package, siunitx siunitx package Between a number and its unit: $745.7.8$~watts (the siunitx package has a special facility for this) or 144~eggs. This includes between a month and a date: October~12 or 12~Oct. In general, in any expressions where numbers and abbreviations or symbols are separated by a space: AD~565, or 2:50~pm, or Boeing~747, or 268~Plains Road, or \$$1.4$~billion. When mathematical phrases are rendered in words: equals~$n$, or less than~$\epsilon$, or given~$X$, or modulo~$p^e$ for all large~$n$ (but compare is~$15$ with is $15$~times the height). Between mathematical symbols in apposition with nouns: dimension~$d$ or function~$f(x)$ (but compare with length $l$~or more). When a symbol is a tightly bound object of a preposition: of~$x$, or from $0$ to~$1$, or in common with~$m$. Between symbols in series: $1$,~$2$, or~$3$ or $1$,~$2$, \ldots,~$n$. Between a person&textrsquo;s forenames and between multiple surnames: Donald~E. Knuth, or Luis~I. Trabb~Pardo, or Charles~XII (but you must give TeX places to break the line so you may do Charles Louis Xavier~Joseph de~la Vall\'ee~Poussin). Before a dash: pages 12~--14 or it is~--- it must be said~--- plausible.
\thinspace & \negthinspace\/~Spaces
\thinspace & \negthinspace \thinspace \negthinspace thin space space, thin thin space, negative space, negative thin Synopsis, one of:
\thinspace
\negthinspace
Produce an unbreakable and unstretchable space of 1/6em and -1/6em. These are the text mode equivalents of \, and \! (Spacing in math mode/\thinspace). You can use \, as a synonym for \thinspace in text mode. The \negthinspace command is used in text mode mostly for fiddling with spaces. One common use of \thinspace is as the space between nested quotes.
Killick replied, ``I heard the Captain say, `Ahoy there.'\thinspace''
Another use is that some style guides call for a \thinspace between an ellipsis and a sentence ending period (other style guides, though, think the three dots are quite enough already). Still another use is between initials, as in D.\thinspace E.\ Knuth.
\/\hrulefill & \dotfill\thinspace & \negthinspaceSpaces
\/ \/ italic correction Synopsis:
before-character\/after-character
Insert an italic correction, a small space defined by the font designer for each character, to avoid the character colliding with whatever follows. When you use \/, &latex; takes the correction from the font metric file, scales it by any scaling that has been applied to the font, and then inserts that much horizontal space. Here, were it not for the \/, the before-character italic f would hit the after-character roman H
\newcommand{\companylogo}{{\it f}\/H}
because the italic letter leans far to the right. If after-character is a period or comma then don&textrsquo;t insert an italic correction since those punctuation symbols have a very small height. However, with semicolons or colons as well as with normal letters, the italic correction can help. When you use commands such as \textit or \itshape to change fonts, &latex; will automatically insert any needed italic correction (Font styles). Roman characters can also have an italic correction. An example is in the name pdf\/\TeX. There is no concept of italic correction in math mode; spacing is done in a different way.
\hrulefill & \dotfill\bigskip & \medskip & \smallskip\/Spaces
\hrulefill & \dotfill \hrulefill \dotfill Synopsis, one of:
\hrulefill
\dotfill
Produce an infinite horizontal rubber length (Lengths) that &latex; fills with a rule (that is, a line) or with dots, instead of white space. This outputs a line 2 inches long.
Name:~\makebox[2in]{\hrulefill}
This example, when placed between blank lines, creates a paragraph that is left and right justified and where the middle is filled with evenly spaced dots.
\noindent John Aubrey, RN \dotfill{} Melbury Lodge
To make the rule or dots go to the line&textrsquo;s end use \null at the start or end. To change the rule&textrsquo;s thickness, copy the definition and adjust it, as here
\renewcommand{\hrulefill}{%
  \leavevmode\leaders\hrule height 1pt\hfill\kern\z&arobase;}
which changes the default thickness of 0.4pt to 1pt. Similarly, adjust the dot spacing as with
\renewcommand{\dotfill}{%
  \leavevmode\cleaders\hb&arobase;xt&arobase;1.00em{\hss .\hss }\hfill\kern\z&arobase;}
which changes the default length of 0.33em to 1.00em. This example produces a line for a signature.
\begin{minipage}{4cm}
  \centering
  \hrulefill\\
  Signed
\end{minipage}
The line is 4cm long.
\bigskip & \medskip & \smallskip\bigbreak & \medbreak & \smallbreak\hrulefill & \dotfillSpaces
\bigskip & \medskip & \smallskip Synopsis, one of:
\bigskip
\medskip
\smallskip
Produce an amount of vertical space, large or medium-sized or small. These commands are fragile (\protect). Here the skip suggests the passage of time (from The Golden Ocean by O&textrsquo;Brian).
Mr Saumarez would have something rude to say to him, no doubt: he
was at home again, and it was delightful.

\bigskip
``A hundred and fifty-seven miles and one third, in twenty-four hours,''
said Peter.
Each command is associated with a length defined in the document class file. bigskip \bigskip\bigskip \bigskipamount The same as \vspace{\bigskipamount}, ordinarily about one line space, with stretch and shrink. The default for the book and article classes is 12pt plus 4pt minus 4pt. medskip \medskip\medskip \medskipamount The same as \vspace{\medskipamount}, ordinarily about half of a line space, with stretch and shrink. The default for the book and article classes is 6pt plus 2pt minus 2pt. smallskip \smallskip\smallskip \smallskipamount The same as \vspace{\smallskipamount}, ordinarily about a quarter of a line space, with stretch and shrink. The default for the book and article classes is 3pt plus 1pt minus 1pt. Because each command is a \vspace, if you use on in mid-paragraph then it will insert its vertical space between the line in which you use it and the next line, not necessarily at the place that you use it. So these are best between paragraphs. The commands \bigbreak, \medbreak, and \smallbreak are similar but also suggest to &latex; that this is a good place to put a page break (\bigbreak & \medbreak & \smallbreak.
\bigbreak & \medbreak & \smallbreak\strut\bigskip & \medskip & \smallskipSpaces
\bigbreak & \medbreak & \smallbreak Synopsis, one of:
\bigbreak
\medbreak
\smallbreak
Produce a vertical space that is big or medium-sized or small, and suggest to &latex; that this is a good place to break the page. (The associated penalties are -200, -100, and -50.) \bigskip & \medskip & \smallskip, for more. These commands produce the same vertical space but differ in that they also remove a preceding vertical space if it is less than what they would insert (as with \addvspace). In addition, they terminate a paragraph where they are used: this example
abc\bigbreak def ghi

jkl mno pqr
will output three paragraphs, the first ending in abc and the second starting, after an extra vertical space and a paragraph indent, with def.
\strut\vspace\bigbreak & \medbreak & \smallbreakSpaces
\strut \strut strut Synopsis:
\strut
Ensure that the current line has height at least 0.7\baselineskip and depth at least 0.3\baselineskip. Essentially, &latex; inserts into the line a rectangle having zero width, \rule[-0.3\baselineskip]{0pt}{\baselineskip} (\rule). The \baselineskip changes with the current font and fontsize. In this example the \strut keeps the box inside the frame from having zero height.
\setlength{\fboxsep}{0pt}\framebox[2in]{\strut}
This example has four lists. In the first there is a much bigger gap between items 2 and 3 than there is between items 1 and 2. The second list fixes that with a \strut at the end of its first item&textrsquo;s second line.
\setlength{\fboxsep}{0pt}
\noindent\begin{minipage}[t]{0.2\linewidth}
\begin{enumerate}
  \item \parbox[t]{15pt}{test \\ test}
  \item test
  \item test
\end{enumerate}
\end{minipage}%
\begin{minipage}[t]{0.2\linewidth}
\begin{enumerate}
  \item \parbox[t]{15pt}{test \\ test\strut}
  \item test
  \item test
\end{enumerate}
\end{minipage}%
\begin{minipage}[t]{0.2\linewidth}
\begin{enumerate}
  \item \fbox{\parbox[t]{15pt}{test \\ test}}
  \item \fbox{test}
  \item \fbox{test}
\end{enumerate}
\end{minipage}%
\begin{minipage}[t]{0.2\linewidth}
\begin{enumerate}
  \item \fbox{\parbox[t]{15pt}{test \\ test\strut}}
  \item \fbox{test}
  \item \fbox{test}
\end{enumerate}
\end{minipage}%
The final two lists use \fbox to show what&textrsquo;s happening. The third list&textrsquo;s \parbox goes only to the bottom of its second test, which happens not have any characters that descend below the baseline. The fourth list adds the strut that gives the needed extra below-baseline space. package, TikZ TikZ package package, Asymptote Asymptote package The \strut command is often useful in graphics, such as in TikZ or Asymptote. For instance, you may have a command such as \graphnode{node-name} that fits a circle around node-name. However, unless you are careful the node-name&textrsquo;s x and y will produce different-diameter circles because the characters are different sizes. A careful \graphnode might insert a \strut, then node-name, and then draw the circle. The general approach of using a zero width \rule is useful in many circumstances. In this table, the zero-width rule keeps the top of the first integral from hitting the \hline. Similarly, the second rule keeps the second integral from hitting the first.
\begin{tabular}{rl}
  \textsc{Integral}   &\textsc{Value}           \\
  \hline
  $\int_0^x t\, dt$   &$x^2/2$  \rule{0em}{2.5ex} \\  
  $\int_0^x t^2\, dt$ &$x^3/3$  \rule{0em}{2.5ex}
\end{tabular}
(Although the line-ending double backslash command has an available optional argument to put in more vertical room, that won&textrsquo;t work here. Changing the first double backslash to something like \\[2.5ex] will put the room between the header line and the \hline, and the integral would still hit the line.)
\vspace\vfill\strutSpaces
\vspace \vspace vertical space space, vertical Synopsis, one of:
\vspace{length}
\vspace*{length}
Add the vertical space length. The length can be positive, negative, or zero. It is a rubber length&textmdash;it may contain a plus or minus component (Lengths). This puts space between the two paragraphs.
And I slept.

\vspace{1ex plus 0.5ex}
The new day dawned cold.
(\bigskip & \medskip & \smallskip for common inter-paragraph spaces.) The *-version inserts vertical space that non-discardable. More precisely, &latex; discards vertical space at a page break and the *-version causes the space to stay. This example leaves space between the two questions.
Question: Find the integral of \( 5x^4+5 \).

\vspace*{2cm plus 0.5cm}
Question: Find the derivative of \( x^5+5x+9 \).
That space will be present even if the page break happens to fall between the questions. If you use \vspace in the middle of a paragraph (i.e., in horizontal mode) then the space is inserted after the line containing the \vspace command; it does not start a new paragraph at the \vspace command. In this example the two questions will be evenly spaced vertically on the page, with at least one inch of space below each.
\begin{document}
1) Who put the bomp in the bomp bah bomp bah bomp?
\vspace{1in plus 1fill}

2) Who put the ram in the rama lama ding dong?
\vspace{1in plus 1fill}
\end{document}
\vfill\addvspace\vspaceSpaces
\vfill \vfill stretch, infinite vertical infinite vertical stretch Synopsis:
\vfill
End the current paragraph and insert a vertical rubber length that is infinite, so it can stretch or shrink as far as needed (Lengths). It is often used in the same way as \vspace{\fill}, except that \vfill ends the current paragraph whereas \vspace{\fill} adds the infinite vertical space below its line, irrespective of the paragraph structure. In both cases that space will disappear at a page boundary; to circumvent this see the starred option in \vspace. In this example the page is filled, so the top and bottom lines contain the text Lost Dog! and the second Lost Dog! is exactly halfway between them.
\begin{document}
Lost Dog!
\vfill
Lost Dog!  % perfectly in the middle
\vfill
Lost Dog!
\end{document}
\addvspace\vfillSpaces
\addvspace \addvspace vertical space space, inserting vertical Synopsis:
\addvspace{vert-length}
Add a vertical space of vert-length. However, if there are two or more \addvspace&textrsquo;s in a sequence then together they only add the space needed to make the natural length equal to the maximum of the vert-length&textrsquo;s in that sequence. This command is fragile (\protect). The vert-length is a rubber length (Lengths). This example illustrates. The picture draws a scale. In a standard &latex; article the length \baselineskip is 12pt. The two rules here are 22pt apart: the sum of the \baselineskip and the 10pt from the first addvspace.
\documentclass{article}
\usepackage{color}
\begin{document}
\setlength{\unitlength}{2pt}%
\noindent\begin{picture}(0,0)%
  \multiput(0,0)(0,-1){25}{{\color{blue}\line(1,0){1}}}
  \multiput(0,0)(0,-5){6}{{\color{red}\line(1,0){2}}}
\end{picture}%
\rule{0.25\linewidth}{0.1pt}% 
\par\addvspace{10pt}% \addvspace{20pt}%
\par\noindent\rule{0.25\linewidth}{0.1pt}%
\end{document}
Now uncomment the second \addvspace. It does not make the gap 20pt longer; instead the gap is the sum of \baselineskip and 20pt. So \addvspace in a sense does the opposite of its name &textmdash; it makes sure that multiple vertical spaces do not accumulate, but instead that only the largest one is used. &latex; uses this command to adjust the vertical space above or below an environment that starts a new paragraph. For instance, a theorem environment begins and ends with \addvspace so that two consecutive theorem&textrsquo;s are separated by one vertical space, not two. A error Something's wrong--perhaps a missing \item pointing to an \addvspace means that you were not in vertical mode when you hit this command. One way to change that is to precede \addvspace with a \par command (\par), as in the above example.
BoxesColorSpacesTop Boxes boxes At its core, &latex; puts things in boxes and then puts the boxes on a page. So these commands are central. There are many packages on CTAN that are useful for manipulating boxes. One useful adjunct to the commands here is adjustbox. \mbox & \makebox
Horizontal boxes.
\fbox & \framebox
Put a frame around a box.
\parbox
Box with text in paragraph mode.
\raisebox
Raise or lower text.
\sbox & \savebox
Like \makebox but save the text for later.
lrbox
Environment version of \sbox.
\usebox
Print saved text.
\mbox & \makebox\fbox & \frameboxBoxes
\mbox & \makebox \mbox \makebox box make a box hyphenation, preventing Synopsis, one of:
\mbox{text}
\makebox{text}
\makebox[width]{text}
\makebox[width][position]{text}
Create a box, a container for material. The text is typeset in LR mode (Modes) so it is not broken into lines. The \mbox command is robust, while \makebox is fragile (\protect). Because text is not broken into lines, you can use \mbox to prevent hyphenation. In this example, &latex; will not hyphenate the table name, T-4.
See Table~\mbox{T-4}
The first two command versions, \mbox and \makebox, are roughly equivalent. They create a box just wide enough to contain the text. (They are like plain &tex;&textrsquo;s \hbox.) In the third version the optional argument width specifies the width of the box. Note that the space occupied by the text need not equal the width of the box. For one thing, text can be too small; this creates a full-line box
\makebox[\linewidth]{Chapter Exam}
with Chapter Exam centered. But text can also be too wide for width. See the example below of zero-width boxes. mbox makebox depth mbox makebox height mbox makebox width mbox makebox totalheight In the width argument you can use the following lengths that refer to the dimension of the box that &latex; gets on typesetting text: \depth, \height, \width, \totalheight (this is the box&textrsquo;s height plus its depth). For example, to make a box with the text stretched to double the natural size you can say this.
\makebox[2\width]{Get a stretcher}
For the fourth command version the optional argument position gives position of the text within the box. It may take the following values: c The text is centered (default). l The text is flush left. r Flush right. s Stretch the interword space in text across the entire width. The text must contain stretchable space for this to work. For instance, this could head a press release: \noindent\makebox[\textwidth][s]{\large\hfil IMMEDIATE\hfil RELEASE\hfil}
A common use of \makebox is to make zero-width text boxes. This puts the value of the quiz questions to the left of those questions.
\newcommand{\pts}[1]{\makebox[0em][r]{#1 points\hspace*{1em}}}
\pts{10}What is the air-speed velocity of an unladen swallow?

\pts{90}An African or European swallow?
package, TikZ TikZ package package, Asymptote Asymptote package The right edge of the output 10 points (note the ending space) will be just before the What (note the space after points). You can use \makebox similarly when making graphics, such as in TikZ or Asymptote, where you put the edge of the text at a known location, regardless of the length of that text. For boxes with frames see \fbox & \framebox. For colors see Colored boxes. There is a related version of \makebox that is used within the picture environment, where the length is given in terms of \unitlength (\makebox (picture)). If you put a double-backslash into text then &latex; will not give you a new line; for instance \makebox{abc def \\ ghi} outputs abc defghi while \makebox{abc def \par ghi} outputs abc def ghi, but neither go to a second line. To get multiple lines see \parbox and minipage.
\fbox & \framebox\parbox\mbox & \makeboxBoxes
\fbox & \framebox \fbox \framebox Synopses, one of:
\fbox{text}
\framebox{text}
\framebox[width]{text}
\framebox[width][position]{text}
Create a box with an enclosing frame, four lines surrounding the space. These commands are the same as \mbox and \makebox except for the frame (\mbox & \makebox). The \fbox command is robust, the \framebox command is fragile (\protect).
\fbox{Warning! No work shown, no credit given.}
&latex; puts the text into a box that cannot be split or hyphenated. Around that box, separated from it by a small gap, are four lines making a frame. The first two command invocations, \fbox{...} and \framebox{...}, are roughly the same. As to the third and fourth invocations, the optional arguments allow you to specify the box width as width and the position of the text inside that box as position. \mbox & \makebox for the full description but here is an example creating an empty box that is 1/4in wide.
\setlength{\fboxsep}{0pt}\framebox[0.25in]{\strut}}
The \strut inserts a vertical height of \baselineskip (\strut). These parameters determine the frame layout. fbox framebox fboxrule \fboxrule\fboxrule frame, line width frame rule width \fboxrule The thickness of the lines around the enclosed box. The default is 0.2pt. Change it with a command such as \setlength{\fboxrule}{0.8pt} (\setlength). fbox framebox fboxsep \fboxsep\fboxsep frame, separation from contents \fboxsep The distance from the frame to the enclosed box. The default is 3pt. Change it with a command such as \setlength{\fboxsep}{0pt} (\setlength). Setting it to 0pt is useful sometimes: this will put a frame around the picture with no white border.
{\setlength{\fboxsep}{0pt}
 \framebox{%
   \includegraphics[width=0.5\textwidth]{prudence.jpg}}}
The extra curly braces keep the effect of the \setlength local.
As with \mbox and \makebox, &latex; will not break lines in text. But this example has &latex; break lines to make a paragraph, and then frame the result.
\framebox{%
  \begin{minipage}{0.6\linewidth}
    My dear, here we must run as fast as we can, just to stay in place.
    And if you wish to go anywhere you must run twice as fast as that.
  \end{minipage}}
Colored boxes for colors other than black and white. The picture environment has a version of this command where the units depend on picture&textrsquo;s \unitlength (\framebox (picture)).
\parbox\raisebox\fbox & \frameboxBoxes
\parbox \parbox paragraph mode paragraph, in a box Synopses, one of:
\parbox{width}{contents}
\parbox[position]{width}{contents}
\parbox[position][height]{width}{contents}
\parbox[position][height][inner-pos]{width}{contents}
Produce a box of text that is width wide. Use this command to make a box of small pieces of text, of a single paragraph. This command is fragile (\protect).
\begin{picture}(0,0)
  ...
  \put(1,2){\parbox{1.75in}{\raggedright Because the graph is a line on
                         this semilog paper, the relationship is
                         exponential.}}
\end{picture}
The contents are processed in a text mode (Modes) so &latex; will break lines to make a paragraph. But it won&textrsquo;t make multiple paragraphs; for that, use a minipage environment (minipage). The options for \parbox (except for contents) are the same as those for minipage. For convenience a summary of the options is here but see minipage for a complete description. There are two required arguments. The width is a rigid length (Lengths). It sets the width of the box into which &latex; typesets contents. The contents is the text that is placed in that box. It should not have any paragraph-making components. There are three optional arguments, position, height, and inner-pos. The position gives the vertical alignment of the parbox with respect to the surrounding material. The possible values are c or m to make the vertical center of the parbox lines up with the center of the adjacent line (this is the default), or t to match the top line of the parbox with the baseline of the surrounding material, or b to match the bottom line. The optional argument height overrides the natural height of the box. The optional argument inner-pos controls the placement of content inside the parbox. Its default is the value of position. Its possible values are: t to put the content at the top of the box, c to put it in the vertical center, b to put it at the bottom of the box, and s to stretch it out vertically (for this, the text must contain vertically stretchable space).
\raisebox\sbox & \savebox\parboxBoxes
\raisebox \raisebox Synopsis, one of:
\raisebox{distance}{text}
\raisebox{distance}[height]{text}
\raisebox{distance}[height][depth]{text}
Raise or lower text. This command is fragile (\protect). This example makes a command for the restriction of a function by lowering the vertical bar symbol.
\newcommand\restricted[1]{\raisebox{-.5ex}{$|$}_{#1}}
$f\restricted{A}$
The first mandatory argument distance specifies how far to raise the second mandatory argument text. This is a rigid length (Lengths). If it is negative then it lowers text. The text is processed in LR mode so it cannot contain line breaks (Modes). The optional arguments height and depth are dimensions. If they are specified, they override the natural height and depth of the box &latex; gets by typesetting text. raisebox depth raisebox height raisebox width raisebox totalheight In the arguments distance, height, and depth you can use the following lengths that refer to the dimension of the box that &latex; gets on typesetting text: \depth, \height, \width, \totalheight (this is the box&textrsquo;s height plus its depth). This will align two graphics on their top (Graphics).
\usepackage{graphicx} \usepackage{calc}  % in preamble
   ...
\begin{center}
  \raisebox{1ex-\height}{%
    \includegraphics[width=0.4\linewidth]{lion.png}}
  \qquad
  \raisebox{1ex-\height}{%
    \includegraphics[width=0.4\linewidth]{meta.png}}
\end{center}
The first \height is the height of lion.png while the second is the height of meta.png.
\sbox & \saveboxlrbox\raiseboxBoxes
\sbox & \savebox \sbox \savebox box, save Synopsis, one of:
\sbox{box-cmd}{text}
\savebox{box-cmd}{text}
\savebox{box-cmd}[width]{text}
\savebox{box-cmd}[width][pos]{text}
Typeset text just as with \makebox (\mbox & \makebox) except that &latex; does not output it but instead saves it in a storage bin named box-cmd. The bin name box-cmd begins with a backslash, \. You must have previously allocated the bin box-cmd with \newsavebox (\newsavebox).The \sbox command is robust while \savebox is fragile (\protect). This creates and uses a bin.
\newsavebox{\fullname}
\sbox{\fullname}{John Jacob Jingleheimer Schmidt}
  ...
\usebox{\fullname}! His name is my name, too!
Whenever we go out, the people always shout!
There goes \\usebox{\fullname}!  Ya da da da da da da.
One advantage of using and reusing a bin over a \newcommand is efficiency, that &latex; need not repeatedly retypeset the contents. See the example below. The first two command invocations, \sbox{box-cmd}{text} and \savebox{box-cmd}{text}, are roughly equivalent. As to the third and fourth, the optional arguments allow you to specify the box width as width, and the position of the text inside that box as position. \mbox & \makebox for the full description. In the \sbox and \savebox commands the text is typeset in LR mode so it does not have line breaks (Modes). If you use these then &latex; doesn&textrsquo;t give you an error but it ignores what you want: if you enter \sbox{\newbin}{test \\ test} and \usebox{\newbin} then you get testtest, while if you enter \sbox{\newbin}{test \par test} and \usebox{\newbin} then you get test test, but no error or warning. To fix this use a \parbox or minipage as here.
\savebox{\abin}{%
  \begin{minipage}{\linewidth}
    \begin{enumerate}
      \item First item
      \item Second item
    \end{enumerate}
  \end{minipage}}
  ...
\usebox{\abin}
As an example of the efficiency of reusing a bin&textrsquo;s contents, this puts the same picture on each page of the document by putting it in the header. &latex; only typesets it once.
\usepackage{graphicx}  % all this in the preamble
\newsavebox{\sealbin}
\savebox{\sealbin}{%
  \setlength{\unitlength}{1in}%
  \begin{picture}(0,0)%
     \put(1.5,-2.5){%
       \begin{tabular}{c}
          \includegraphics[height=2in]{companylogo.png} \\
          Office of the President
       \end{tabular}}
  \end{picture}%
}
\markright{\usebox{\sealbin}}
\pagestyle{headings}
The picture environment is good for fine-tuning the placement. If the bin has not already been defined then you get something like Undefined control sequence. <argument> \nobin.
lrbox\usebox\sbox & \saveboxBoxes
lrbox lrbox Synopsis:
\begin{lrbox}{box-cmd} 
  text
\end{lrbox}
The text inside the environment is saved in the bin box-cmd. The box-cmd must begin with a backslash. You must create this bin in advance with \newsavebox (\newsavebox). This is the environment form of the \sbox and \savebox commands, and is equivalent to them. \sbox & \savebox for the full information. In this example the environment is convenient for entering the tabular.
\newsavebox{\jhbin}
\begin{lrbox}{\jhbin}
  \begin{tabular}{c}
    \includegraphics[height=1in]{jh.png} \\
    Jim Hef{}feron
  \end{tabular}
\end{lrbox}    
  ...
\usebox{\jhbin}
\useboxlrboxBoxes
\usebox \usebox box, use saved box Synopsis:
\usebox{box-cmd}
Produce the box most recently saved in the bin box-cmd by the commands \sbox or \savebox, or the lrbox environment. \sbox & \savebox for more information and examples. (Note that box-cmd starts with a backslash.) This command is robust (\protect).
ColorGraphicsBoxesTop Color color You can add color to text, rules, etc. You can also have color in a box or on an entire page and write text on top of it. Color support comes as an additional package. So put \usepackage{color} in your document preamble to use the commands described here. Many other packages also supplement &latex;&textrsquo;s color abilities. Particularly worth mentioning is xcolor, which is widely used and significantly extends the capabilities described here, including adding HTML and Hsb color models. Color package options
Options when you load the standard package.
Color models
How colors are represented.
Commands for color
The available commands.
Color package optionsColor modelsColor
color package options color package options options, color package Synopsis (must be in the document preamble):
\usepackage[comma-separated option list]{color}
When you load the color package there are two kinds of available options. The first specifies the printer driver. &latex; doesn&textrsquo;t contain information about different output systems but instead depends on information stored in a file. Normally you should not specify the driver option in the document, and instead rely on your system&textrsquo;s default. One advantage of this is that it makes the document portable across systems. For completeness we include a list of the drivers. The currently relevant ones are: dvipdfmx, dvips, dvisvgm, luatex, pdftex, xetex. The two xdvi and oztex are essentially aliases for dvips (and xdvi is monochrome). Ones that should not be used for new systems are: dvipdf, dvipdfm, dviwin, dvipsone, emtex, pctexps, pctexwin, pctexhp, pctex32, truetex, tcidvi, vtex (and dviwindo is an alias for dvipsone). The second kind of options, beyond the drivers, are below. monochrome Disable the color commands, so that they do not generate errors but do not generate color either. dvipsnames Make available a list of 68 color names that are often used, particularly in legacy documents. These color names were originally provided by the dvips driver, giving the option name. nodvipsnames Do not load that list of color names, saving &latex; a tiny amount of memory space.
Color modelsCommands for colorColor package optionsColor
Color models color models A color model is a way of representing colors. &latex;&textrsquo;s capabilities depend on the printer driver. However, the pdftex, xetex, and luatex printer drivers are today by far the most commonly used. The models below work for those drivers. All but one of these is also supported by essentially all other printer drivers used today. Note that color combination can be additive or subtractive. Additive mixes colors of light, so that for instance combining full intensities of red, green, and blue produces white. Subtractive mixes pigments, such as with inks, so that combining full intensity of cyan, magenta, and yellow makes black. color models cmyk cmyk A comma-separated list with four real numbers between 0 and 1, inclusive. The first number is the intensity of cyan, the second is magenta, and the others are yellow and black. A number value of 0 means minimal intensity, while a 1 is for full intensity. This model is often used in color printing. It is a subtractive model. color models gray gray A single real number between 0 and 1, inclusive. The colors are shades of grey. The number 0 produces black while 1 gives white. color models rgb rgb A comma-separated list with three real numbers between 0 and 1, inclusive. The first number is the intensity of the red component, the second is green, and the third the blue. A number value of 0 means that none of that component is added in, while a 1 means full intensity. This is an additive model. color models RGB RGB (pdftex, xetex, luatex drivers) A comma-separated list with three integers between 0 and 255, inclusive. This model is a convenience for using rgb since outside of &latex; colors are often described in a red-green-blue model using numbers in this range. The values entered here are converted to the rgb model by dividing by 255. color models named named Colors are accessed by name, such as PrussianBlue. The list of names depends on the driver, but all support the names black, blue, cyan, green, magenta, red, white, and yellow (See the dvipsnames option in Color package options).
Commands for colorColor modelsColor
Commands for color color package commands These are the commands available with the color package. Define colors
Give a color a name.
Colored text
Text or rules in color.
Colored boxes
A box of color, to write over.
Colored pages
A whole page colored.
Define colorsColored textCommands for color Define colors color define color color, define Synopsis:
\definecolor{name}{model}{specification}
Give the name name to the color. For example, after this
\definecolor{silver}{rgb}{0.75,0.75,0.74}
you can use that color name with Hi ho, \textcolor{silver}{Silver}!. This example gives the color a more abstract name, so it could change and not be misleading.
\definecolor{logocolor}{RGB}{145,92,131}    % RGB needs pdflatex
\newcommand{\logo}{\textcolor{logocolor}{Bob's Big Bagels}}
Often a document&textrsquo;s colors are defined in the preamble, or in the class or style, rather than in the document body.
Colored textColored boxesDefine colorsCommands for color Colored text color colored text Synopses:
\textcolor{name}{...}
\textcolor[color model]{color specification}{...}
or
\color{name}
\color[color model]{specification}
The affected text gets the color. This line
\textcolor{magenta}{My name is Ozymandias, king of kings:}
Look on my works, ye Mighty, and despair!
causes the first half to be in magenta while the rest is in black. You can use a color declared with \definecolor in exactly the same way that we just used the builtin color magenta.
\definecolor{MidlifeCrisisRed}{rgb}{1.0,0.11,0.0}
I'm thinking about getting a \textcolor{MidlifeCrisisRed}{sports car}.
The two \textcolor and \color differ in that the first is a command form, enclosing the text to be colored as an argument. Often this form is more convenient, or at least more explicit. The second form is a declaration, as in The moon is made of {\color{green} green} cheese, so it is in effect until the end of the current group or environment. This is sometimes useful when writing macros or as below where it colors everything inside the center environment, including the vertical and horizontal lines.
\begin{center} \color{blue}
  \begin{tabular}{l|r}
    UL &UR \\ \hline
    LL &LR 
  \end{tabular}
\end{center}
You can use color in equations. A document might have this definition in the preamble
\definecolor{highlightcolor}{RGB}{225,15,0}
and then contain this equation.
\begin{equation}
  \int_a^b \textcolor{highlightcolor}{f'(x)}\,dx=f(b)-f(a)
\end{equation}
Typically the colors used in a document are declared in a class or style but sometimes you want a one-off. Those are the second forms in the synopses.
Colors of \textcolor[rgb]{0.33,0.14,0.47}{Purple} and
{\color[rgb]{0.72,0.60,0.37} Gold} for the team.
The format of color specification depends on the color model (Color models). For instance, while rgb takes three numbers, gray takes only one.
The selection was \textcolor[gray]{0.5}{grayed out}.
Colors inside colors do not combine. Thus
\textcolor{green}{kind of \textcolor{blue}{blue}}
has a final word that is blue, not a combination of blue and green.
Colored boxesColored pagesColored textCommands for color Colored boxes color colored boxes box, colored Synopses:
\colorbox{name}{...}
\colorbox[model name]{box background color}{...}
or
\fcolorbox{frame color}{box background color}{...}
\fcolorbox[model name]{frame color}{box background color}{...}
Make a box with the stated background color. The \fcolorbox command puts a frame around the box. For instance this
Name:~\colorbox{cyan}{\makebox[5cm][l]{\strut}}
makes a cyan-colored box that is five centimeters long and gets its depth and height from the \strut (so the depth is -.3\baselineskip and the height is \baselineskip). This puts white text on a blue background.
\colorbox{blue}{\textcolor{white}{Welcome to the machine.}}
The \fcolorbox commands use the same parameters as \fbox (\fbox & \framebox), \fboxrule and \fboxsep, to set the thickness of the rule and the boundary between the box interior and the surrounding rule. &latex;&textrsquo;s defaults are 0.4pt and 3pt, respectively. This example changes the thickness of the border to 0.8 points. Note that it is surrounded by curly braces so that the change ends at the end of the second line.
{\setlength{\fboxrule}{0.8pt}
\fcolorbox{black}{red}{Under no circumstances turn this knob.}}
Colored pagesColored boxesCommands for color Colored pages color colored page page, colored background, colored Synopses:
\pagecolor{name}
\pagecolor[color model]{color specification}
\nopagecolor
The first two set the background of the page, and all subsequent pages, to the color. For an explanation of the specification in the second form Colored text. The third returns the background to normal, which is a transparent background. (If that is not supported use \pagecolor{white}, although that will make a white background rather than the default transparent background.)
 ...
\pagecolor{cyan}
 ...
\nopagecolor
GraphicsSpecial insertionsColorTop Graphics graphics graphics package You can use graphics such as PNG or PDF files in your &latex; document. You need an additional package, which comes standard with &latex;. This example is the short how-to.
\include{graphicx}  % goes in the preamble
  ...
\includegraphics[width=0.5\linewidth]{plot.pdf}
To use the commands described here your document preamble must contain either \usepackage{graphicx} or \usepackage{graphics}. Most of the time, graphicx is the better choice. Graphics come in two main types, raster and vector. &latex; can use both. In raster graphics the file contains an entry for each location in an array, describing what color it is. An example is a photograph, in JPG format. In vector graphics, the file contains a list of instructions such as draw a circle with this radius and that center. An example is a line drawing produced by the Asymptote program, in PDF format. Generally vector graphics are more useful because you can rescale their size without pixelation or other problems, and because they often have a smaller size. There are systems particularly well-suited to make graphics for a &latex; document. For example, these allow you to use the same fonts as in your document. &latex; comes with a picture environment (picture) that has simple capabilities. Besides that, there are other ways to include the graphic-making commands in the document. Two such systems are the PSTricks and TikZ packages. There are also systems external to &latex;, that generate a graphic that you include using the commands of this chapter. Two that use a programming language are Asymptote and MetaPost. One that uses a graphical interface is Xfig. Full description of these systems is outside the scope of this document; see their documentation on CTAN. Graphics package options
Options when you load the package.
Graphics package configuration
Where to look for files, which file types.
Commands for graphics
The available commands.
Graphics package optionsGraphics package configurationGraphics
graphics package options graphics package options options, graphics package Synopsis (must be in the document preamble):
\usepackage[comma-separated option list]{graphics}
or
\usepackage[comma-separated option list]{graphicx}
The graphicx package has a format for optional arguments to the \includegraphics command that is convenient (it is the key-value format), so it is the better choice for new documents. When you load the graphics or graphicx package with \usepackage there are two kinds of available options. The first is that &latex; does not contain information about different output systems but instead depends on information stored in a printer driver file. Normally you should not specify the driver option in the document, and instead rely on your system&textrsquo;s default. One advantage of this is that it makes the document portable across systems. For completeness here is a list of the drivers. The currently relevant ones are: dvipdfmx, dvips, dvisvgm, luatex, pdftex, xetex. The two xdvi and oztex are essentially aliases for dvips (and xdvi is monochrome). Ones that should not be used for new systems are: dvipdf, dvipdfm, dviwin, dvipsone, emtex, pctexps, pctexwin, pctexhp, pctex32, truetex, tcidvi, vtex (and dviwindo is an alias for dvipsone). These are stored in files with a .def extension, such as pdftex.def. The second kind of options are below. demo Instead of an image file, &latex; puts in a 150 pt by 100 pt rectangle (unless another size is specified in the \includegraphics command). draft For each graphic file, it is not shown but instead the file name is printed in a box of the correct size. In order to determine the size, the file must be present. final (Default) Override any previous draft option, so that the document shows the contents of the graphic files. hiderotate Do not show rotated text. (This allows for the possibility that a previewer does not have the capability to rotate text.) hidescale Do not show scaled text. (This allows for the possibility that a previewer does not have the capability to scale.) hiresbb In a PS or EPS file the graphic size may be specified in two ways. The %%BoundingBox lines describe the graphic size using integer multiples of a PostScript point, that is, integer multiples of 1/72 inch. A later addition to the PostScript language allows decimal multiples, such as 1.23, in %%HiResBoundingBox lines. This option has &latex; to read the size from the latter.
Graphics package configurationCommands for graphicsGraphics package optionsGraphics
graphics package configuration graphics graphics package configuration, graphics package EPS files JPEG files JPG files PDF graphic files PNG files These commands configure the way &latex; searches the file system for the graphic. The behavior of file system search code is necessarily platform dependent. In this document we cover GNU/Linux, Macintosh, and Windows, as those systems are typically configured. For other situations consult the documentation in grfguide.pdf, or the &latex; source, or your &tex; distribution&textrsquo;s documentation. \graphicspath
Directories to search.
\DeclareGraphicsExtensions
File types, such as JPG or EPS.
\DeclareGraphicsRule
How to handle file types.
\graphicspath\DeclareGraphicsExtensionsGraphics package configuration \graphicspath \graphicspath Synopsis:
\graphicspath{list of dir names inside curly brackets}
Declare a list of directories to search for graphics files. This allows you to later say something like \includegraphics{lion.png} instead of having to give its path. &latex; always looks for graphic files first in the current directory. The declaration below tells the system to then look in the subdirectory pix, and then ../pix.
\usepackage{graphicx}   % or graphics; put in preamble
  ...
\graphicspath{ {pix/} {../pix/} }
The \graphicspath declaration is optional. If you don&textrsquo;t include it then &latex;&textrsquo;s default is to search all of the places that it usually looks for a file (it uses &latex;&textrsquo;s \input&arobase;path). In particular, in this case one of the places it looks is the current directory. Enclose each directory name in curly braces; for example, above it says {pix}. Do this even if there is only one directory. Each directory name must end in a forward slash, /. This is true even on Windows, where good practice is to use forward slashes for all the directory separators since it makes the document portable to other platforms. If you have spaces in your directory name then use double quotes, as with {"my docs/"}. Getting one of these rules wrong will cause &latex; to report Error: File `filename' not found. Basically, the algorithm is that with this example, after looking in the current directory,
\graphicspath{ {pix/} {../pix/} }
...
\usepackage{lion.png}
for each of the listed directories, &latex; concatenates it with the file name and searches for the result, checking for pix/lion.png and then ../pix/lion.png. This algorithm means that the \graphicspath command does not recursively search subdirectories: if you issue \graphicspath{{a/}} and the graphic is in a/b/lion.png then &latex; will not find it. It also means that you can use absolute paths such as \graphicspath{{/home/jim/logos/}} or \graphicspath{{C:/Users/Albert/Pictures/}}. However, using these means that the document is not portable. (You could preserve portability by adjusting your &tex; system settings configuration file parameter TEXINPUTS; see the documentation of your system.) You can use \graphicspath anywhere in the document. You can use it more than once. Show its value with \makeatletter\typeout{\Ginput&arobase;path}\makeatother. The directories are taken with respect to the base file. That is, suppose that you are working on a document based on book/book.tex and it contains \include{chapters/chap1}. If in chap1.tex you put \graphicspath{{plots/}} then &latex; will not search for graphics in book/chapters/plots, but instead in book/plots.
\DeclareGraphicsExtensions\DeclareGraphicsRule\graphicspathGraphics package configuration \DeclareGraphicsExtensions \DeclareGraphicsExtensions Synopses:
\DeclareGraphicsExtensions{comma-separated list of file extensions}
Declare the filename extensions to try. This allows you to specify the order in which to choose graphic formats when you include graphic files by giving the filename without the extension, as in \includegraphics{functionplot}. In this example, &latex; will find files in the PNG format before PDF files.
\DeclareGraphicsExtensions{.png,PNG,.pdf,.PDF}
  ...
\includegraphics{lion}   % will find lion.png before lion.pdf 
Because the file name lion does not have a period, &latex; uses the extension list. For each directory in the graphics path (\graphicspath), &latex; will try the extensions in the order given. If it does not find such a file after trying all the directories and extensions then it reports ! LaTeX Error: File `lion' not found. Note that you must include the periods at the start of the extensions. Because GNU/Linux and Macintosh filenames are case sensitive, the list of file extensions is case sensitive on those platforms. The Windows platform is not case sensitive. You are not required to include \DeclareGraphicsExtensions in your document; the printer driver has a sensible default. For example, the most recent pdftex.def has this extension list.
.png,.pdf,.jpg,.mps,.jpeg,.jbig2,.jb2,.PNG,.PDF,.JPG,.JPEG,.JBIG2,.JB2
You can use this command anywhere in the document. You can use it more than once. Show its value with \makeatletter\typeout{\Gin&arobase;extensions}\makeatother.
\DeclareGraphicsRule\DeclareGraphicsExtensionsGraphics package configuration \DeclareGraphicsRule \DeclareGraphicsRule Synopsis:
\DeclareGraphicsRule{extension}{type}{size-file extension}{command}
Declare how to handle graphic files whose names end in extension. This example declares that all files with names have the form filename-without-dot.mps will be treated as output from MetaPost, meaning that the printer driver will use its MetaPost-handling code to input the file.
\DeclareGraphicsRule{.mps}{mps}{.mps}{}
This
\DeclareGraphicsRule{*}{mps}{*}{}
tells &latex; that it should handle as MetaPost output any file with an extension not covered by another rule, so it covers filename.1, filename.2, etc. This describes the four arguments. extension The file extension to which this rule applies. The extension is anything after and including the first dot in the filename. Use the Kleene star, *, to denote the default behaviour for all undeclared extensions. type The type of file involved. This type is a string that must be defined in the printer driver. For instance, files with extensions .ps, .eps, or .ps.gz may all be classed as type eps. All files of the same type will be input with the same internal command by the printer driver. For example, the file types that pdftex recognizes are: jpg, jbig2, mps, pdf, png, tif. size-file extension The extension of the file to be read to determine the size of the graphic, if there is such a file. It may be the same as extension but it may be different. As an example, consider a PostScript graphic. To make it smaller, it might be compressed into a .ps.gz file. Compressed files are not easily read by &latex; so you can put the bounding box information in a separate file. If size-file extension is empty then you must specify size information in the arguments of \includegraphics. If the driver file has a procedure for reading size files for type then that will be used, otherwise it will use the procedure for reading .eps files. (Thus you may specify the size of bitmap files in a file with a PostScript style %%BoundingBox line if no other format is available.) command A command that will be applied to the file. This is very often left blank. This command must start with a single backward quote. Thus, \DeclareGraphicsRule{.eps.gz}{eps}{.eps.bb}{`gunzip -c #1} specifies that any file with the extension .eps.gz should be treated as an eps file, with the BoundingBox information stored in the file with extension .eps.bb, and that the command gunzip -c will run on your platform to decompresses the file. Such a command is specific to your platform. In addition, your &tex; system must allow you to run external commands; as a security measure modern systems restrict running commands unless you explicitly allow it. See the documentation for your &tex; distribution.
Commands for graphicsGraphics package configurationGraphics
Commands for graphics graphics package commands commands, graphics package These are the commands available with the graphics and graphicx packages. \includegraphics
Using a graphic in your document.
\rotatebox
Rotating boxes, including graphics.
\scalebox
Scaling boxes, including graphics.
\resizebox
Scaling boxes, including graphics, to a set size.
\includegraphics\rotateboxCommands for graphics \includegraphics graphics graphics package including graphics importing graphics EPS files JPEG files JPG files PDF graphic files PNG files \includegraphics Synopses for graphics package:
\includegraphics{filename}
\includegraphics[urx,ury]{filename}
\includegraphics[llx,lly][urx,ury]{filename}
\includegraphics*{filename}
\includegraphics*[urx,ury]{filename}
\includegraphics*[llx,lly][urx,ury]{filename}
Synopses for graphicx package:
\includegraphics{filename}
\includegraphics[key-value list]{filename}
\includegraphics*{filename}
\includegraphics*[key-value list]{filename}
Include a graphics file. The starred form \includegraphics* will clip the graphic to the size specified, while for the unstarred form any part of the graphic that is outside the box of the specified size will over-print the surrounding area. This
\usepackage{graphicx}  % in preamble
  ...
\begin{center}
  \includegraphics{plot.pdf}
\end{center}
will incorporate into the document the graphic in plot.pdf, centered and at its nominal size. You can also give a path to the file, as with \includegraphics{graphics/plot.pdf}. To specify a list of locations to search for the file, \graphicspath. If your filename includes spaces then put it in double quotes. An example is \includegraphics{"sister picture.jpg"}. The \includegraphics{filename} command decides on the type of graphic by splitting filename on the first dot. You can use filename with no dot, as in \includegraphics{turing} and then &latex; tries a sequence of extensions such as .png and .pdf until it finds a file with that extension (\DeclareGraphicsExtensions). If your file name contains dots before the extension then you can hide them with curly braces, as in \includegraphics{{plot.2018.03.12.a}.pdf}. Or, if you use the graphicx package then you can use the options type and ext; see below. This and other filename issues are also handled with the package grffile. This example puts a graphic in a figure environment so &latex; can move it to the next page if fitting it on the current page is awkward (figure).
\begin{figure}
  \centering
  \includegraphics[width=3cm]{lungxray.jpg}
  \caption{The evidence is overwhelming: don't smoke.}  \label{fig:xray}
\end{figure}
This places a graphic that will not float, so it is sure to appear at this point in the document even if makes &latex; stretch the text or resort to blank areas on the page. It will be centered and will have a caption.
\usepackage{caption}  % in preamble
  ...
\begin{center}
  \includegraphics{pix/nix.png}
  \captionof{figure}{The spirit of the night} \label{pix:nix} % optional
\end{center}
This example puts a box with a graphic side by side with one having text, with the two vertically centered.
\newcommand*{\vcenteredhbox}[1]{\begin{tabular}{&arobase;{}c&arobase;{}}#1\end{tabular}}
  ...
\begin{center}
  \vcenteredhbox{\includegraphics[width=0.4\textwidth]{plot}}
  \hspace{1em}
  \vcenteredhbox{\begin{minipage}{0.4\textwidth}
                   \begin{displaymath}
                     f(x)=x\cdot \sin (1/x)
                   \end{displaymath}
                 \end{minipage}}
\end{center}
If you use the graphics package then the only options involve the size of the graphic (but see \rotatebox and \scalebox). When one optional argument is present then it is [urx,ury] and it gives the coordinates of the top right corner of the image, as a pair of &tex; dimensions (Units of length). If the units are omitted they default to bp. In this case, the lower left corner of the image is assumed to be at (0,0). If two optional arguments are present then the leading one is [llx,lly], specifying the coordinates of the image&textrsquo;s lower left. Thus, \includegraphics[1in,0.618in]{...} calls for the graphic to be placed so it is 1 inch wide and 0.618 inches tall and so its origin is at (0,0). The graphicx package gives you many more options. Specify them in a key-value form, as here.
\begin{center}
  \includegraphics[width=1in,angle=90]{lion}
  \hspace{2em}
  \includegraphics[angle=90,width=1in]{lion}
\end{center}
The options are read left-to-right. So the first graphic above is made one inch wide and then rotated, while the second is rotated and then made one inch wide. Thus, unless the graphic is perfectly square, the two will end with different widths and heights. There are many options. The primary ones are listed first. Note that a graphic is placed by &latex; into a box, which is traditionally referred to as its bounding box (distinct from the PostScript BoundingBox described below). The graphic&textrsquo;s printed area may go beyond this box, or sit inside this box, but when &latex; makes up a page it puts together boxes and this is the box allocated for the graphic. includegraphics width width The graphic will be shown so its bounding box is this width. An example is \includegraphics[width=1in]{plot}. You can use the standard &tex; dimensions (Units of length) and also convenient is \linewidth, or in a two-column document, \columnwidth (Page layout parameters). An example is that by using the calc package you can make the graphic be 1 cm narrow than the width of the text with \includegraphics[width=\linewidth-1.0cm]{hefferon.jpg}. height includegraphics height The graphic will be shown so its bounding box is this height. You can use the standard &tex; dimensions (Units of length), and also convenient are \pageheight and \textheight (Page layout parameters). For instance, the command \includegraphics[height=0.25\textheight]{godel} will make the graphic a quarter of the height of the text area. totalheight includegraphics totalheght The graphic will be shown so its bounding box has this height plus depth. This differs from the height if the graphic was rotated. For instance, if it has been rotated by -90 then it will have zero height but a large depth. keepaspectratio includegraphics keepaspectratio If set to true, or just specified as here
\includegraphics[...,keepaspectratio,...]{...}
and you give as options both width and height (or totalheight), then &latex; will make the graphic is as large as possible without distortion. That is, &latex; will ensure that neither is the graphic wider than width nor taller than height (or totalheight).
scale Factor by which to scale the graphic. To make a graphic twice its nominal size, enter \includegraphics[scale=2.0]{...}. This number may be any value; a number between 1 and 0 will shrink the graphic and a negative number will reflect it. angle Rotate the graphic. The angle is taken in degrees and counterclockwise. The graphic is rotated about its origin; see that option. For a complete description of how rotated material is typeset, \rotatebox. origin The point of the graphic about which the rotation happens. Possible values are any string containing one or two of: l for left, r for right, b for bottom, c for center, t for top, and B for baseline. Thus, entering the command \includegraphics[angle=180,origin=c]{moon} will turn the picture upside down about that picture&textrsquo;s center, while the command \includegraphics[angle=180,origin=lB]{LeBateau} will turn its picture upside down about its left baseline. (The character c gives the horizontal center in bc or tc, but gives the vertical center in lc or rc.) The default is lB. To rotate about an arbitrary point, \rotatebox.
These are lesser-used options. includegraphics viewport viewport Pick out a subregion of the graphic to show. Takes four arguments, separated by spaces and given in &tex; dimensions, as with \includegraphics[.., viewport=0in 0in 1in 0.618in]{...}. The dimensions default to big points, bp. They are taken relative to the origin specified by the bounding box. See also the trim option. includegraphics trim trim Gives parts of the graphic to not show. Takes four arguments, separated by spaces, that are given in &tex; dimensions, as with \includegraphics[.., trim= 0in 0.1in 0.2in 0.3in, ...]{...}. These give the amounts of the graphic not to show, that is, &latex; will crop the picture by 0 inches on the left, 0.1 inches on the bottom, 0.2 inches on the right, and 0.3 inches on the top. See also the viewport option. includegraphics clip clip If set to true, or just specified as here
\includegraphics[...,clip,...]{...}
then the graphic is cropped to the bounding box. This is the same as using the starred form of the command, \includegraphics*[...]{...}. includegraphics page
page Give the page number of a multi-page PDF file. The default is page=1. includegraphics pagebox pagebox Specifies which bounding box to use for PDF files from among mediabox, cropbox, bleedbox, trimbox, or artbox. PDF files do not have the BoundingBox that PostScript files have, but may specify up to four predefined rectangles. The MediaBox gives the boundaries of the physical medium. The CropBox is the region to which the contents of the page are to be clipped when displayed. The BleedBox is the region to which the contents of the page should be clipped in production. The TrimBox is the intended dimensions of the finished page. The ArtBox is the extent of the page&textrsquo;s meaningful content. The driver will set the image size based on CropBox if present, otherwise it will not use one of the others, with a driver-defined order of preference. MediaBox is always present. includegraphics interpolate interpolate Enable or disable interpolation of raster images by the viewer. Can be set with interpolate=true or just specified as here.
\includegraphics[...,interpolate,...]{...}
includegraphics quiet
quiet Do not write information to the log. You can set it with quiet=true or just specified it with \includegraphics[...,quite,...]{...}, includegraphics draft draft If you set it with draft=true or just specify it with
\includegraphics[...,draft,...]{...}
then the graphic will not appear in the document, possibly saving color printer ink. Instead, &latex; will put an empty box of the correct size with the filename printed in it.
These options address the bounding box for Encapsulated PostScript graphic files, which have a size specified with a line %%BoundingBox that appears in the file. It has four values, giving the lower x coordinate, lower y coordinate, upper x coordinate, and upper y coordinate. The units are PostScript points, equivalent to &tex;&textrsquo;s big points, 1/72 inch. For example, if an .eps file has the line %%BoundingBox 10 20 40 80 then its natural size is 30/72 inch wide by 60/72 inch tall. includegraphics bb bb Specify the bounding box of the displayed region. The argument is four dimensions separated by spaces, as with \includegraphics[.., bb= 0in 0in 1in 0.618in]{...}. Usually \includegraphics reads the BoundingBox numbers from the EPS file automatically, so this option is only useful if the bounding box is missing from that file or if you want to change it. includegraphics bbllx includegraphics bblly includegraphics bburx includegraphics bbury bbllx, bblly, bburx, bbury Set the bounding box. These four are obsolete, but are retained for compatibility with old packages. includegraphics natwidth includegraphics natheight natwidth, natheight An alternative for bb. Setting
\includegraphics[...,natwidth=1in,natheight=0.618in,...]{...}
is the same as setting bb=0 0 1in 0.618in. includegraphics hiresbb
hiresbb If set to true, or just specified as with
\includegraphics[...,hiresbb,...]{...}
then &latex; will look for %%HiResBoundingBox lines instead of %%BoundingBox lines. (The BoundingBox lines use only natural numbers while the HiResBoundingBox lines use decimals; both use units equivalent to &tex;&textrsquo;s big points, 1/72 inch.) To override a prior setting of true, you can set it to false.
These following options allow a user to override &latex;&textrsquo;s method of choosing the graphic type based on the filename extension. An example is that \includegraphics[type=png,ext=.xxx,read=.xxx]{lion} will read the file lion.xxx as though it were lion.png. For more on these, \DeclareGraphicsRule. includegraphics type type Specify the graphics type. includegraphics ext ext Specify the graphics extension. Only use this in conjunction with the option type. includegraphics read read Specify the file extension of the read file. Only use this in conjunction with the option type. includegraphics command command Specify a command to be applied to this file. Only use this in conjunction with the option type. Command line options for a discussion of enabling the \write18 functionality to run external commands.
\rotatebox\scalebox\includegraphicsCommands for graphics \rotatebox rotation rotating graphics rotating text \rotatebox Synopsis if you use the graphics package:
\rotatebox{angle}{material}
Synopses if you use the graphicx package:
\rotatebox{angle}{material}
\rotatebox[key-value list]{angle}{material}
Put material in a box and rotate it angle degrees counterclockwise. This example rotates the table column heads forty five degrees.
\begin{tabular}{ll}
  \rotatebox{45}{Character} &\rotatebox{45}{NATO phonetic}   \\
  A                         &AL-FAH  \\
  B                         &BRAH-VOH
\end{tabular}
The material can be anything that goes in a box, including a graphic.
  \rotatebox[origin=c]{45}{\includegraphics[width=1in]{lion}}
To place the rotated material, the first step is that &latex; sets material in a box, with a reference point on the left baseline. The second step is the rotation, by default about the reference point. The third step is that &latex; computes a box to bound the rotated material. Fourth, &latex; moves this box horizontally so that the left edge of this new bounding box coincides with the left edge of the box from the first step (they need not coincide vertically). This new bounding box, in its new position, is what &latex; uses as the box when typesetting this material. If you use the graphics package then the rotation is about the reference point of the box. If you use the graphicx package then these are the options that can go in the key-value list, but note that you can get the same effect without needing this package, except for the x and y options (\includegraphics). origin The point of the material&textrsquo;s box about which the rotation happens. Possible value is any string containing one or two of: l for left, r for right, b for bottom, c for center, t for top, and B for baseline. Thus, the first line here
\rotatebox[origin=c]{180}{moon}
\rotatebox[origin=lB]{180}{LeBateau}
will turn the picture upside down from the center while the second will turn its picture upside down about its left baseline. (The character c gives the horizontal center in bc or tc but gives the vertical center in lc or rc, and gives both in c.) The default is lB.
x, y Specify an arbitrary point of rotation with \rotatebox[x=&tex; dimension,y=&tex; dimension]{...} (Units of length). These give the offset from the box&textrsquo;s reference point. units This key allows you to change the default of degrees counterclockwise. Setting units=-360 changes the direction to degrees clockwise and setting units=6.283185 changes to radians counterclockwise.
\scalebox\resizebox\rotateboxCommands for graphics \scalebox graphics, scaling graphics, resizing scaling resizing text, scaling text, resizing \scalebox \reflectbox Synopses:
\scalebox{horizontal factor}{material}
\scalebox{horizontal factor}[vertical factor]{material}
\reflectbox{material}
Scale the material. This example halves the size, both horizontally and vertically, of the first text and doubles the size of the second.
\scalebox{0.5}{DRINK ME} and \scalebox{2.0}{Eat Me}
If you do not specify the optional vertical factor then it defaults to the same value as the horizontal factor. You can use this command to resize a graphic, as here.
\scalebox{0.5}{\includegraphics{lion}}
If you use the graphicx package then you can accomplish the same thing with optional arguments to \includegraphics (\includegraphics). The \reflectbox command abbreviates \scalebox{-1}[1]{material}. Thus, Able was I\reflectbox{Able was I} will show the phrase Able was I immediately followed by its mirror reflection.
\resizebox\scaleboxCommands for graphics \resizebox graphics, scaling graphics, resizing scaling resizing text, scaling text, resizing \resizebox Synopses:
\resizebox{horizontal length}{vertical length}{material}
\resizebox*{horizontal length}{vertical length}{material}
Given a size, such as 3cm, transform material to make it that size. If either horizontal length or vertical length is an exclamation point ! then the other argument is used to determine a scale factor for both directions. This example makes the graphic be a half inch wide and scales it vertically by the same factor to keep it from being distorted.
\resizebox{0.5in}{!}{\includegraphics{lion}}
The unstarred form \resizebox takes vertical length to be the box&textrsquo;s height while the starred form \resizebox* takes it to be height+depth. For instance, make the text have a height+depth of a quarter inch with \resizebox*{!}{0.25in}{\parbox{1in}{This box has both height and depth.}}. You can use \depth, \height, \totalheight, and \width to refer to the original size of the box. Thus, make the text two inches wide but keep the original height with \resizebox{2in}{\height}{Two inches}.
Special insertionsSplitting the inputGraphicsTop Special insertions special insertions insertions of special characters &latex; provides commands for inserting characters that have a special meaning do not correspond to simple characters you can type. Reserved characters
Inserting # $ % & { } _ ~ ^ \
Upper and lower case
Make text upper or lower case.
Symbols by font position
Inserting font symbols by number.
Text symbols
Inserting other non-letter symbols in text.
Accents
Inserting accents.
Additional Latin letters
Inserting other non-English characters.
\rule
Inserting lines and rectangles.
\today
Inserting today&textrsquo;s date.
Reserved charactersUpper and lower caseSpecial insertions
Reserved characters reserved characters characters, reserved special characters characters, special &latex; sets aside the following characters for special purposes. For example, the percent sign % is for comments. They are called reserved characters or special characters.
# $ % & { } _ ~ ^ \ 
\# \$ \% \& \_ \{ \} If you want a reserved character to be printed as itself, in the text body font, for all but the final three characters in that list simply put a backslash \ in front of the character. Thus, typing \$1.23 will produce $1.23 in your output. \~ \^ \textbackslash As to the last three characters, to get a tilde in the text body font use \~{} (omitting the curly braces would result in the next character receiving a tilde accent). Similarly, to get a get a text body font circumflex use \^{}. To get a backslash in the font of the text body, enter \textbackslash{}. To produce the reserved characters in a typewriter font use \verb!! as below (the double backslash \\ is only there to split the lines).
\begin{center}
  \# \$ \% \& \{ \} \_ \~{} \^{} \textbackslash \\
  \verb!# $ % & { } _ ~ ^ \!
\end{center}
Upper and lower caseSymbols by font positionReserved charactersSpecial insertions
Upper and lower case uppercase lowercase characters, case of Synopsis:
\uppercase{text}
\lowercase{text}
\MakeUppercase{text}
\MakeLowercase{text}
Change the case of characters. The &tex; primitives commands \uppercase and \lowercase only work for American characters. The &latex; commands \MakeUppercase and \MakeLowercase commands also change characters accessed by commands such as \ae or \aa. The commands \MakeUppercase and \MakeLowercase are robust but they have moving arguments (\protect). These commands do not change the case of letters used in the name of a command within text. But they do change the case of every other Latin letter inside the argument text. Thus, \MakeUppercase{Let $y=f(x)$} produces LET Y=F(X). Another example is that the name of an environment will be changed, so that \MakeUppercase{\begin{tabular} ... \end{tabular}} will produce an error because the first half is changed to \begin{TABULAR}. &latex; uses the same fixed table for changing case throughout a document, The table used is designed for the font encoding T1; this works well with the standard &tex; fonts for all Latin alphabets but will cause problems when using other alphabets. To change the case of text that results from a macro inside text you need to do expansion. Here the \Schoolname produces COLLEGE OF MATHEMATICS.
\newcommand{\schoolname}{College of Mathematics}
\newcommand{\Schoolname}{\expandafter\MakeUppercase
                           \expandafter{\schoolname}}
package, textcase textcase package The textcase package brings some of the missing feature of the standard &latex; commands \MakeUppercase and \MakeLowerCase. package, mfirstuc mfirstuc package To uppercase only the first letter of words, you can use the package mfirstuc.
Symbols by font positionText symbolsUpper and lower caseSpecial insertions
Symbols by font position \symbol accessing any character of a font font symbols, by number You can access any character of the current font using its number with the \symbol command. For example, the visible space character used in the \verb* command has the code decimal 32, so it can be typed as \symbol{32}. You can also specify numbers in octal (base 8) by using a ' prefix, or hexadecimal (base 16) with a " prefix, so the previous example could also be written as \symbol{'40} or \symbol{"20}.
Text symbolsAccentsSymbols by font positionSpecial insertions
Text symbols text symbols symbols, text textcomp package &latex; provides commands to generate a number of non-letter symbols in running text. Some of these, especially the more obscure ones, are not available in OT1. Unless you are using Xe&latex; or Lua&latex; then you may need to load the textcomp package. \copyright\copyright \textcopyright\textcopyright copyright symbol ©right; The copyright symbol. \dag\dag dagger, in text 2020 The dagger symbol (in text). \ddag\ddag double dagger, in text 2021 The double dagger symbol (in text). \LaTeX\LaTeX &latex; logo logo, &latex; The &latex; logo. \LaTeXe\LaTeXe &latex;2e logo logo, &latex;2e The &latex;2e logo. \guillemotleft («)\guillemotleft («) \guillemotright (»)\guillemotright (») \guilsinglleft (‹)\guilsinglleft (‹) \guilsinglright (›)\guilsinglright (›) double guillemets single guillemets left angle quotation marks right angle quotation marks double angle quotation marks single angle quotation marks French quotation marks quotation marks, French «, », ‹, › Double and single angle quotation marks, commonly used in French. \ldots\ldots \dots\dots \textellipsis\textellipsis ellipsis &dots; An ellipsis (three dots at the baseline): \ldots and \dots also work in math mode. \lq\lq left quote opening quote &textlsquo; Left (opening) quote. \P\P \textparagraph\textparagraph paragraph symbol pilcrow 00B6 Paragraph sign (pilcrow). \pounds\pounds \textsterling\textsterling pounds symbol sterling symbol £ English pounds sterling. \quotedblbase („)\quotedblbase („) \quotesinglbase (‚)\quotesinglbase (‚) double low-9 quotation mark single low-9 quotation mark low-9 quotation marks, single and double „ and ‚ Double and single quotation marks on the baseline. \rq\rq right quote closing quote &textrsquo; Right (closing) quote. \S\S \textsection\textsection section symbol 00A7 Section sign. \TeX\TeX &tex; logo logo, &tex; The &tex; logo. \textasciicircum\textasciicircum circumflex, ASCII, in text ASCII circumflex, in text ^ ASCII circumflex. \textasciitilde\textasciitilde tilde, ASCII, in text ASCII tilde, in text ~ ASCII tilde. \textasteriskcentered\textasteriskcentered asterisk, centered, in text centered asterisk, in text * Centered asterisk. \textbackslash\textbackslash backslash, in text \ Backslash. \textbar\textbar vertical bar, in text bar, vertical, in text | Vertical bar. \textbardbl\textbardbl vertical bar, double, in text bar, double vertical, in text double vertical bar, in text 23F8 Double vertical bar. \textbigcircle\textbigcircle big circle symbols, in text circle symbol, big, in text 25EF Big circle symbol. \textbraceleft\textbraceleft left brace, in text brace, left, in text { Left brace. \textbraceright\textbraceright right brace, in text brace, right, in text } Right brace. \textbullet\textbullet bullet, in text • Bullet. \textcircled{letter}\textcircled{letter} circled letter, in text 24B6 Circle around letter. \textcompwordmark\textcompwordmark \textcapitalcompwordmark\textcapitalcompwordmark \textascendercompwordmark\textascendercompwordmark composite word mark, in text cap height ascender height Used to separate letters that would normally ligature. For example, f\textcompwordmark i produces fi without a ligature. This is most useful in non-English languages. The \textcapitalcompwordmark form has the cap height of the font while the \textascendercompwordmark form has the ascender height. \textdagger\textdagger dagger, in text 2020 Dagger. \textdaggerdbl\textdaggerdbl dagger, double, in text double dagger, in text 2021 Double dagger. \textdollar (or \$)\textdollar (or \$) dollar sign currency, dollar $ Dollar sign. \textemdash (or ---)\textemdash (or ---) em-dash &textmdash; Em-dash (used for punctuation, as in The playoffs --- if you are fortunate enough to make the playoffs --- is more like a sprint.). \textendash (or --)\textendash (or --) e-dash &textndash; En-dash (used for ranges, as in See pages 12--14). \texteuro\texteuro euro symbol currency, euro package, eurosym eurosym package The Euro symbol: €. For an alternative glyph design, try the eurosym package; also, most fonts nowadays come with their own Euro symbol (Unicode U+20AC). \textexclamdown (or !`)\textexclamdown (or !`) exclamation point, upside-down ¡ Upside down exclamation point. \textgreater\textgreater greater than symbol, in text > Greater than symbol. \textless\textless less than symbol, in text < Less than symbol. \textleftarrow\textleftarrow arrow, left, in text left arrow, in text 2190 Left arrow. \textordfeminine\textordfeminine \textordmasculine\textordmasculine feminine ordinal symbol masculine ordinal symbol ordinals, feminine and masculine Spanish ordinals, feminine and masculine ª, º Feminine and masculine ordinal symbols. \textperiodcentered\textperiodcentered period, centered, in text centered period, in text 00B7 Centered period. \textquestiondown (or ?`)\textquestiondown (or ?`) question mark, upside-down ¿ Upside down question mark. \textquotedblleft (or ``)\textquotedblleft (or ``) left quote, double double left quote &textldquo; Double left quote. \textquotedblright (or '')\textquotedblright (or '') right quote, double double right quote &textrdquo; Double right quote. \textquoteleft (or `)\textquoteleft (or `) left quote, single single left quote &textlsquo; Single left quote. \textquoteright (or ')\textquoteright (or ') right quote, single single right quote &textrsquo; Single right quote. \textquotesingle\textquotesingle quote, single straight straight single quote single quote, straight 0027 Straight single quote. (From TS1 encoding.) \textquotestraightbase\textquotestraightbase \textquotestraightdblbase\textquotestraightdblbase quote, straight base straight quote, base double quote, straight base straight double quote, base Single and double straight quotes on the baseline. \textregistered\textregistered registered symbol ®istered; Registered symbol. \textrightarrow\textrightarrow arrow, right, in text right arrow, in text 2192 Right arrow. \textthreequartersemdash\textthreequartersemdash three-quarters em-dash em-dash, three-quarters FE58 &textldquo;Three-quarters&textrdquo; em-dash, between en-dash and em-dash. \texttrademark\texttrademark trademark symbol 2122 Trademark symbol. \texttwelveudash\texttwelveudash two-thirds em-dash em-dash, two-thirds FE58 &textldquo;Two-thirds&textrdquo; em-dash, between en-dash and em-dash. \textunderscore\textunderscore underscore, in text _ Underscore. \textvisiblespace\textvisiblespace visible space symbol, in text 2423 Visible space symbol.
AccentsAdditional Latin lettersText symbolsSpecial insertions
Accents accents characters, accented letters, accented package, babel babel package package, polyglossia polyglossia package multilingual support &latex; has wide support for many of the world&textrsquo;s scripts and languages, through the babel package and related support if you are using pdf&latex;, or polyglossia if you are using Xe&latex; or Lua&latex;. This section does not cover that support. It only lists the core &latex; commands for creating accented characters. The \capital... commands shown here produce alternative forms for use with capital letters. These are not available with OT1. Below, to make them easier to find, the accents are all illustrated with lowercase o. \i (dotless i) dotless i Note that \i produces a dotless i, \j (dotless j) dotless j and \j produces a dotless j. These are often used in place of their dotted counterparts when they are accented. \" \capitaldieresis \" (umlaut accent) \capitaldieresis umlaut accent dieresis accent o Umlaut (dieresis). \' \capitalacute \' (acute accent) \capitalacute acute accent o Acute accent. \. \. (dot-over accent) dot accent dot-over accent o Dot accent. \= \capitalmacron \= (macron accent) \capitalmacron macron accent overbar accent bar-over accent o Macron (overbar) accent. \^ \capitalcircumflex \^ (circumflex accent) \capitalcircumflex circumflex accent hat accent o Circumflex (hat) accent. \` \capitalgrave \` (grave accent) \capitalgrave grave accent o Grave accent. \~ \capitaltilde \~ (tilde accent) \capitaltilde tilde accent n Tilde accent. \b \b (bar-under accent) bar-under accent o Bar accent underneath. \underbar underbar Related to this, \underbar{text} produces a bar under text. The argument is always processed in LR mode (Modes). The bar is always a fixed position under the baseline, thus crossing through descenders. See also \underline in Math miscellany. \c \capitalcedilla \c (cedilla accent) \capitalcedilla cedilla accent c Cedilla accent underneath. \d \capitaldotaccent \d (dot-under accent) \capitaldotaccent dot-under accent o Dot accent underneath. \H \capitalhungarumlaut \H (Hungarian umlaut accent) \capitalhungarumlaut hungarian umlaut accent o Long Hungarian umlaut accent. \k \capitalogonek \k (ogonek) \capitalogonek ogonek o Ogonek. Not available in the OT1 encoding. \r \capitalring \r (ring accent) \capitalring ring accent o Ring accent. \t \capitaltie \newtie \capitalnewtie \t (tie-after accent) \capitaltie \newtie \capitalnewtie tie-after accent oo Tie-after accent. The \newtie form is centered in its box. \u \capitalbreve \u (breve accent) \capitalbreve breve accent o Breve accent. \v \capitalcaron \v (breve accent) \capitalcaron hacek accent check accent caron accent o Hacek (check, caron) accent.
Additional Latin letters\ruleAccentsSpecial insertions
Additional Latin letters Non-English characters Latin letters, additional letters, additional Latin extended Latin special characters non-English characters characters, non-English Here are the basic &latex; commands for inserting letters beyond A&textndash;Z that extend the Latin alphabet, used primarily in languages other than English. \aa \AA \aa (å) \AA (Å) aring å and Å. \ae \AE \ae (æ) \AE (Æ) ae ligature æ and Æ. \dh \DH \dh (ð) \DH (Ð) Icelandic eth eth, Icelandic letter Icelandic letter eth: ð and Ð. Not available with OT1 encoding, you need the fontenc package to select an alternate font encoding, such as T1. \dj \DJ \dj \DJ Crossed d and D, a.k.a.&noeos; capital and small letter d with stroke. Not available with OT1 encoding, you need the fontenc package to select an alternate font encoding, such as T1. \ij \IJ \ij (ij) \IJ (IJ) ij letter, Dutch ij and IJ (except somewhat closer together than appears here). \l \L \l (&lslash;) \L (&Lslash;) polish l &lslash; and &Lslash;. \ng \NG \ng \NG Lappish letter eng, also used in phonetics. \o \O \o (ø) \O (Ø) oslash ø and Ø. \oe \OE \oe (œ) \OE (Œ) oe ligature œ and Œ. \ss \SS \ss (ß) \SS (SS) es-zet German letter sharp S letters ß and SS. \th \TH \th (þ) \TH (Þ) Icelandic thorn thorn, Icelandic letter Icelandic letter thorn: þ and Þ. Not available with OT1 encoding, you need the fontenc package to select an alternate font encoding, such as T1.
\rule\todayAdditional Latin lettersSpecial insertions
\rule \rule Synopsis, one of:
\rule{width}{thickness}
\rule[raise]{width}{thickness}
Produce a rule, a filled-in rectangle. Halmos symbol tombstone This produces a rectangular blob, sometimes called a Halmos symbol, often used to mark the end of a proof.
\newcommand{\qedsymbol}{\rule{0.4em}{2ex}}
package, amsthm amsthm package The amsthm package includes this command, with a somewhat different-looking symbol. The mandatory arguments give the horizontal width and vertical thickness of the rectangle. They are rigid lengths (Lengths). The optional argument raise is also a rigid length, and tells &latex; how much to raise the rule above the baseline, or lower it if the length is negative. This produces a line, a rectangle that is wide but not tall.
\noindent\rule{\textwidth}{0.4pt}
The line is the width of the page and 0.4 points tall. This line thickness is common in &latex;. A rule that has zero width, or zero thickness, will not show up in the output, but can cause &latex; to change the output around it. \strut for examples.
\today\ruleSpecial insertions
\today \today date, today&textrsquo;s today&textrsquo;s date Synopsis:
\today
Produce today&textrsquo;s date in the format month dd, yyyy. An example of a date in that format is July 4, 1976. package, babel babel package package, polyglossia polyglossia package Multilingual packages such as babel or polyglossia, or classes such as lettre, will localize \today. For example, the following will output 4 juillet 1976:
\year=1976 \month=7 \day=4
\documentclass{minimal}
\usepackage[french]{babel}
\begin{document}
\today
\end{document}
\today uses the counters \day, \month, and \year (\day & \month & \year). package, datetime datetime package A number of package on CTAN work with dates. One is datetime package which can produce a wide variety of date formats, including ISO standards. The date is not updated as the &latex; process runs, so in principle the date could be incorrect by the time the program finishes.
Splitting the inputFront/back matterSpecial insertionsTop Splitting the input splitting the input file input file &latex; lets you split a large document into several smaller ones. This can simplify editing or allow multiple authors to work on the document. It can also speed processing. Regardless of how many separate files you use, there is always one root file file, root root file, on which &latex; compilation starts. This shows such a file with five included files.
\documentclass{book}
\includeonly{  % comment out lines below to omit compiling
  pref,
  chap1,
  chap2,
  append,
  bib
  }
\begin{document}
\frontmatter
\include{pref} 
\mainmatter
\include{chap1} 
\include{chap2}
\appendix
\include{append}
\backmatter
\include{bib} 
\end{document}
This will bring in material from pref.tex, chap1.tex, chap2.tex, append.tex, and bib.tex. If you compile this file, and then comment out all of the lines inside \includeonly{...} except for chap1, and compile again, then &latex; will only process the material in the first chapter. Thus, your output will appear more quickly and be shorter to print. However, the advantage of the \includeonly command is that &latex; will retain the page numbers and all of the cross reference information from the other parts of the document so these will appear in your output correctly. Larger book template for another example of \includeonly. \endinput
Stop including material from a file.
\include & \includeonly
Conditionally include files.
\input
Unconditionally include a file.
\endinput\include & \includeonlySplitting the input
\endinput \endinput Synopsis:
\endinput
When you \include{filename}, inside filename.tex the material after \endinput will not be included. This command is optional; if filename.tex has no \endinput then &latex; will read all of the file. For example, suppose that a document&textrsquo;s root file has \input{chap1} and this is chap1.tex.
\chapter{One}
This material will appear in the document. 
\endinput
This will not appear.
This can be useful for putting documentation or comments at the end of a file, or for avoiding junk characters that can be added during mailing. It is also useful for debugging: one strategy to localize errors is to put \endinput halfway through the included file and see if the error disappears. Now, knowing which half contains the error, moving \endinput to halfway through that area further narrows down the location. This process rapidly finds the offending line. After reading \endinput, &latex; continues to read to the end of the line, so something can follow this command and be read nonetheless. This allows you, for instance, to close an \if... with a \fi.
\include & \includeonly\input\endinputSplitting the input
\include & \includeonly \include \includeonly Synopsis:
\includeonly{  % in document preamble
  ...
  filename,
  ...
  }
  ...
\include{filename}  % in document body 
Bring material from the external file filename.tex into a &latex; document. The \include command does three things: it executes \clearpage (\clearpage & \cleardoublepage), then it inputs the material from filename.tex into the document, and then it does another \clearpage. This command can only appear in the document body. The \includeonly command controls which files will be read by &latex; under subsequent \include commands. Its list of filenames is comma-separated, and it can only appear in the preamble. This example root document, constitution.tex, brings in three files, preamble.tex, articles.tex, and amendments.tex.
\documentclass{book}
\includeonly{
  preamble,
  articles,
  amendments
  }
\begin{document}
\include{preamble}
\include{articles}
\include{amendments}
\end{document}
The file preamble.tex contains no special code; you have just excerpted the chapter from consitution.tex and put it in a separate file just for editing convenience.
\chapter{Preamble}
We the People of the United States,
in Order to form a more perfect Union, ...
Running &latex; on constitution.tex makes the material from the three files appear in the document but also generates the auxiliary files preamble.aux, articles.aux, and amendments.tex. These contain information such as page numbers and cross-references (Cross references). If you now comment out \includeonly&textrsquo;s lines with preamble and amendments and run &latex; again then the resulting document shows only the material from articles.tex, not the material from preamble.tex or amendments.tex. Nonetheless, all of the auxiliary information from the omitted files is still there, including the starting page number of the chapter. If the document preamble does not have \includeonly then &latex; will include all the files you call for with \include commands. The \include command makes a new page. To avoid that, see \input (which, however, does not retain the auxiliary information). Larger book template for another example using \include and \includeonly. That example also uses \input for some material that will not necessarily start on a new page. File names can involve paths.
\documentclass{book}
\includeonly{
  chapters/chap1,
  }
\begin{document}
\include{chapters/chap1}
\end{document}
To make your document portable across distributions and platforms you should avoid spaces in the file names. The tradition is to instead use dashes or underscores. Nevertheless, for the name amo amas amat, this works under &tex; Live on GNU/Linux:
\documentclass{book}
\includeonly{
  "amo\space amas\space amat"
  }
\begin{document}
\include{"amo\space amas\space amat"}
\end{document}
and this works under MiK&tex; on Windows:
\documentclass{book}
\includeonly{
  {"amo amas amat"}
  }
\begin{document}
\include{{"amo amas amat"}}
\end{document}
nested \include, not allowed You cannot use \include inside a file that is being included or you get LaTeX Error: \include cannot be nested. The \include command cannot appear in the document preamble; you will get LaTeX Error: Missing \begin{document}. If a file that you \include does not exist, for instance if you \include{athiesm} but you meant \include{atheism}, then &latex; does not give you an error but will warn you No file athiesm.tex. (It will also create athiesm.aux.) If you \include the root file in itself then you first get LaTeX Error: Can be used only in preamble. Later runs get TeX capacity exceeded, sorry [text input levels=15]. To fix this, you must remove the inclusion \include{root} but also delete the file root.aux and rerun &latex;.
\input\include & \includeonlySplitting the input
\input \input Synopsis:
\input{filename}
&latex; processes the file as if its contents were inserted in the current file. For a more sophisticated inclusion mechanism see \include & \includeonly. If filename does not end in .tex then &latex; first tries the filename with that extension; this is the usual case. If filename ends with .tex then &latex; looks for the filename as it is. For example, this
\input{macros}
will cause &latex; to first look for macros.tex. If it finds that file then it processes its contents as thought they had been copy-pasted in. If there is no file of the name macros.tex then &latex; tries the name macros, without an extension. (This may vary by distribution.) To make your document portable across distributions and platforms you should avoid spaces in the file names. The tradition is to instead use dashes or underscores. Nevertheless, for the name amo amas amat, this works under &tex; Live on GNU/Linux:
\input{"amo\space amas\space amat"}
and this works under MiK&tex; on Windows:
\input{{"amo amas amat"}}
Front/back matterLettersSplitting the inputTop Front/back matter Table of contents etc.
Table of contents, list of figures, list of tables.
Indexes
Generate an index.
Glossaries
Generate a glossary.
Table of contents etc.IndexesFront/back matter
Table of contents etc. table of contents, creating \tableofcontents .toc file \listoffigures \listoftables .lof file .lot file Synopsis, one of:
\tableofcontents
\listoffigures
\listoftables
Produce a table of contents, or list of figures, or list of tables. Put the command in the input file where you want the table or list to go. You do not type the entries; for example, typically the table of contents entries are automatically generated from the sectioning commands \chapter, etc. This example illustrates the first command, \tableofcontents. &latex; will produce a table of contents on the book&textrsquo;s first page.
\documentclass{book}
% \setcounter{tocdepth}{1}
\begin{document}
\tableofcontents\newpage
  ...
\chapter{...}
  ...
\section{...}
  ...
\subsection{...}
  ...
\end{document}
Uncommenting the second line would cause that table to contain chapter and section listings but not subsection listings, because the \section command has level 1. Sectioning for level numbers of the sectioning units. For more on the tocdepth Sectioning/tocdepth. Another example of the use of \tableofcontents is in Larger book template. If you want a page break after the table of contents, write a \newpage command after the \tableofcontents command, as above. To make the table of contents &latex; stores the information in an auxiliary file named root-file.toc (Splitting the input). For example, this &latex; file test.tex
\documentclass{article}
\begin{document}
\tableofcontents\newpage
\section{First section}
\subsection{First subsection}
  ...
writes the following line to test.toc.
\contentsline {section}{\numberline {1}First section}{2}
\contentsline {subsection}{\numberline {1.1}First subsection}{2}
The section or subsection is the sectioning unit. The hook \numberline lets you to change how the information appears in the table of contents. Of its two arguments, 1 or 1.1 is the sectioning unit number and First section or First subsection is the title. Finally, 2 is the page number on which the sectioning units start. One consequence of this auxiliary file storage strategy is that to get the contents page correct you must run &latex; twice, once to store the information and once to get it. In particular, the first time that you run &latex; on a new document, the table of contents page will be empty except for its Contents header. Just run it again. The commands \listoffigures and \listoftables produce a list of figures and a list of tables. They work the same way as the contents commands; for instance, these work with information stored in .lof and .lot files. package, babel babel package package, polyglossia polyglossia package To change the header for the table of contents page do something like the first line here.
\renewcommand{\contentsname}{Table of contents}
\renewcommand{\listfigurename}{Plots}
\renewcommand{\listtablename}{Tables}
Similarly, the other two lines will do the other two. Internationalization packages such as babel or polyglossia will change the headers depending on the chosen base language. package, tocloft tocloft package package, tocbibbind tocbibbind package CTAN has many packages for the table of contents and lists of figures and tables. One convenient one for adjusting some aspects of the default, such as spacing, is tocloft. And, tocbibbind will automatically add the bibliography, index, etc. to the table of contents. \addcontentsline
Add an entry to table of contents, etc.
\addtocontents
Add text directly to table of contents file, etc.
\nofiles
Prevent writing to auxiliary files.
\addcontentsline\addtocontentsTable of contents etc. \addcontentsline \addcontentsline table of contents entry, manually adding Synopsis:
\addcontentsline{ext}{unit}{text}
\contentsline Add an entry to the file specified by ext. Usually ext is one of toc for the table of contents, lof for the list of figures, or lot for the list of tables. The following will result in an Appendices line in the table of contents.
\addcontentsline{toc}{section}{\protect\textbf{Appendices}}
It will appear at the same indentation level as the sections, will be in boldface, and will be assigned the page number associated with the point where it appears in the input file. The \addcontentsline command writes information to the file root-name.ext. It writes that information as the text of the command \contentsline{unit}{text}{num}, where num is the current value of counter unit. The most common case is the table of contents and there num is the page number of the first page of unit. This command is invoked by the sectioning commands \chapter, etc., and also by \caption inside a float environment. But it is also used by authors. For example, in a book to have the preface unnumbered, you may use the starred \chapter*. But that does not put in table of contents information, so you can enter it manually, as here.
\chapter*{Preface}
\addcontentsline{toc}{chapter}{\protect\numberline{}Preface}
In the .toc file &latex; will put the line \contentsline {chapter}{\numberline {}Preface}{3}; note the page number 3. All of the arguments for \addcontentsline are required. ext Typically one of the strings toc for the table of contents, lof for the list of figures, or lot for the list of tables. The filename extension of the information file. unit A string that depends on the value of the ext argument:
toc For the table of contents, this is the name of a sectional unit: part, chapter, section, subsection, etc. lof For the list of figures: figure. lot For the list of tables: table.
text The text of the entry. You must \protect any commands that are fragile (\protect). The \addcontentsline command has an interaction with \include (\include & \includeonly). If you use them at the same level, as with \addcontentsline{...}{...}{...}\include{...} then lines in the table of contents can come out in the wrong order. The solution is to move \addcontentsline into the file being included. If you use a unit that &latex; does not recognize, as here
\addcontentsline{toc}{setcion}{\protect\textbf{Appendices}}
then you don&textrsquo;t get an error but the formatting in the table of contents will not make sense.
\addtocontents\nofiles\addcontentslineTable of contents etc. \addtocontents \addtocontents{ext}{text} Synopsis:
\addtocontents{ext}{text}
Add text, which may be text or formatting commands, directly to the auxiliary file with extension ext. This is most commonly used for the table of contents so that is the discussion here, but this also applies to the list of figures and list of tables. This will put some vertical space in the table of contents after the Contents header.
\tableofcontents\newpage
\addtocontents{toc}{\protect\vspace*{3ex}}
The \addtocontents command has two arguments. Both are required. ext Typically one of: toc for the table of contents, lof for the list of figures, or lot for the list of tables. The extension of the file holding the information. text The text, and possibly commands, to be written.
The sectioning commands such as \chapter use the \addcontentsline command to store information. This command creates lines in the .toc auxiliary file containing the \contentsline command (\addcontentsline). In contrast, the command \addtocontents puts material directly in that file. The \addtocontents command has an interaction with \include (\include & \includeonly). If you use them at the same level, as with \addtocontents{...}{...}\include{...} then lines in the table of contents can come out in the wrong order. The solution is to move \addtocontents into the file being included.
\nofiles\addtocontentsTable of contents etc. \nofiles \nofiles Synopsis:
\nofiles
Prevent &latex; from writing any auxiliary files. The only output will be the .log and .pdf (or .dvi) files. This command must go in the preamble. Because of the \nofiles command this example will not produce a .toc file.
\documentclass{book}
\nofiles
\begin{document}
\tableofcontents\newpage
\chapter{...}
  ...
&latex; will not erase any existing auxiliary files, so if you insert the \nofiles command after you have run the file and gotten a .toc then the table of contents page will continue to show the old information.
IndexesGlossariesTable of contents etc.Front/back matter
Indexes indexes \makeindex \index .idx file This document has an index.
\documentclass{article}
\usepackage{makeidx} \makeindex
  ...
\begin{document}
  ...
Recall Wilson's Theorem: \index{Wilson's Theorem}
a number \( n>1 \) is prime if and only if the factorial of \( n-1 \)
is congruent to \( -1 \) modulo~\( n \).
  ...
\printindex
  ...
The \usepackage{makeidx} and \makeindex in the preamble bring in the relevant commands. Producing an index is a three stage process. First, in the document body you declare index entries with the \index command (\index). When you run &latex;, the \index writes its information to an auxiliary file root-name.idx. Next, to alphabetize and to do other manipulations you run an external command, typically makeindex or xindy (makeindex). These output a file root-name.ind. Finally, you bring the information back into your document and typeset it with the \printindex command (\printindex). package, showidx showidx package package, multind multind package There are many packages that apply to indexing commands. The showidx package causes each index entries to be shown in the margin on the page where the entry appears. This can help in preparing the index. The multind package supports multiple indexes. See also the &tex; FAQ entry on this topic, http://www.tex.ac.uk/cgi-bin/texfaq2html?label=multind. \index
Declare an index entry.
makeindex
Alphabetize index entries.
\printindex
Put the index here.
\indexmakeindexIndexes \index index entry \index Synopsis:
\index{index-entry-string}
Declare an entry in the index. This command is fragile (\protect). For example, as described in Indexes, one way to get an index from what&textrsquo;s below is to compile the document with pdflatex test, then process the index entries with makeindex test, and then compile again with pdflatex test.
W~Ackermann (1896--1962).\index{Ackermann}
  ...
Ackermann function\index{Ackermann!function}
  ...
rate of growth\index{Ackermann!function!growth rate}
All three index entries will get a page number, such as Ackermann, 22. &latex; will format the second as a subitem of the first, on the line below it and indented, and the third as a subitem of the second. Three levels deep is as far as you can nest subentries. (If you add \index{Ackermann!function!growth rate!comparison} then makeindex says Scanning input file test.idx....done (4 entries accepted, 1 rejected) and nothing appears in the index). If you enter a second \index with the same index-entry-string then you will get a single index entry with two page numbers (unless they happen to fall on the same page). Thus, adding as for Ackermann.\index{Ackermann} later in the same document as above will give an index entry like Ackermann, 22, 151. Also, you can enter the index entries in any order, so for instance \index{Ackermann!function} could come before \index{Ackermann}. index, page range Get a page range in the output, like Hilbert, 23--27, as here.
W~Ackermann (1896--1962).\index{Ackermann}
  ...
D~Hilbert (1862--1943)\index{Ackermann!Hilbert\(}
  ...
disapproved of his marriage.\index{Ackermann!Hilbert\)}
If the beginning and ending of the page range are equal then the system just gives a single page entry, not a range. If you index subentries but not a main entry, as with \index{Jones!program} and \index{Jones!results}, then the output is the item Jones with no comma or page number, followed by two subitems, like program, 50 and results, 51. &textlsquo;see&textrsquo; and &textlsquo;see also&textrsquo; index entries index entries, &textlsquo;see&textrsquo; and &textlsquo;see also&textrsquo; \seename \alsoname package, babel babel package package, polyglossia polyglossia package Generate a index entry that says See by using a vertical bar character: \index{Ackermann!function|see{P\'eter's function}}. You can instead get See also with seealso. (The text See is defined by \seename, and See also by \alsoname. You can redefine these either by using an internationalization package such as babel or polyglossia, or directly as with \renewcommand{\alsoname}[1]{Also see #1}.) The See feature is part of a more general functionality. After the vertical bar you can put the name of a one-input command, as in \index{group|textit} (note the missing backslash on the \textit command) and the system will apply that command to the page number, here giving something like \textit{7}. You can define your own one-input commands, such as \newcommand{\definedpage}[1]{{\color{blue}#1}} and then \index{Ackermann!function|definedpage} will give a blue page number (Color). Another, less practical, example is this,
\newcommand\indexownpage[1]{#1, \thepage}
  ... Epimenides.\index{self-reference|indexownpage}
which creates an entry citing the page number of its own index listing. The two functions just described combine, as here
\index{Ackermann!function|(definedpage}
  ...
\index{Ackermann!function|)}
which outputs an index entry like function, 23--27 where the page number range is in blue. Consider an index entry such as 03B1-ring. Entering it as $\alpha$-ring will cause it to be alphabetized according to the dollar sign. You can instead enter it using an at-sign, as \index{alpha-ring&arobase;$\alpha$-ring}. If you specify an entry with an at-sign separating two strings, pos&arobase;text, then pos gives the alphabetical position of the entry while text produces the text of the entry. Another example is that \index{Saint Michael's College&arobase;SMC} produces an index entry SMC alphabetized into a different location than its spelling would naturally give it. To put a !, or &arobase;, or | character in an index entry, preceding it with a double quote, ". (The double quote gets deleted before alphabetization.) package, index index package A number of packages on CTAN have additional functionality beyond that provided by makeidx. One is index, which allows for multiple indices and contains a command \index*{index-entry-string} that prints the index-entry-string as well as indexing it. \indexentry idx file The \index command writes the indexing information to the file root-name.idx file. Specifically, it writes text of the command \indexentry{index-entry-string}{page-num}, where page-num is the value of the \thepage counter. On occasion, when the \printindex command is confused, you have to delete this file to start with a fresh slate. If you omit the closing brace of an \index command then you get a message like this.
Runaway argument?  {Ackermann!function
!  Paragraph ended before \&arobase;wrindex was complete.
makeindex\printindex\indexIndexes makeindex index, processing makeindex makeindex program .ind file .idx file Synopsis, one of:
makeindex filename
makeindex -s style-file filename
makeindex options filename0 ...
Sort, and otherwise process, the index information in the auxiliary file filename. This is a command line program. It takes one or more raw index files, filename.idx files, and produces the actual index file, the filename.ind file that is input by \printindex (\printindex). .isty file index, style file makeindex, style file The first form of the command suffices for many uses. The second allows you to format the index by using an index style file, a .isty file. The third form is the most general; see the full documentation on CTAN. This is a simple .isty file.
% book.isty 
%   $ makeindex -s book.isty -p odd book.idx
% creates the index as book.ind, starting on an odd page. 
preamble
"\\pagestyle{empty}
\\small
\\begin{theindex}
\\thispagestyle{empty}"

postamble
"\n
\\end{theindex}"
The description here covers only some of the index formatting possibilities in style-file. For a full list see the documentation on CTAN. A style file consists of a list of pairs: specifier and attribute. These can appear in the file in any order. All of the attributes are strings, except where noted. Strings are surrounded with double quotes, ", and the maximum length of a string is 144 characters. The \n is for a newline and \t is for a tab. Backslashes are escaped with another backslash, \\. If a line begins with a percent sign, %, then it is a comment. makeindex preamble preamblepreamble Preamble of the output file. Defines the context in which the index is formatted. Default: "\\begin{theindex}\n". makeindex postamble postamblepostamble Postamble of the output file. Default: "\n\n\\end{theindex}\n". makeindex group skip group_skipgroup_skip \indexspace Traditionally index items are broken into groups, typically a group for entries starting with a, etc. This specifier gives what is inserted when a new group begins. Default: "\n\n \\indexspace\n" (\indexspace is a rubber length with default value 10pt plus5pt minus3pt). makeindex letheadflag lethead_flaglethead_flag An integer. It governs what is inserted for a new group or letter. If it is 0 (which is the default) then other than group_skip nothing will be inserted before the group. If it is positive then at a new letter the lethead_prefix and lethead_suffix will be inserted, with that letter in uppercase between them. If it is negative then what will be inserted is the letter in lowercase. The default is 0. makeindex lethead prefix lethead_prefixlethead_prefix If a new group begins with a different letter then this is the prefix inserted before the new letter header. Default: "" makeindex lethead suffix lethead_suffixlethead_suffix If a group begins with a different letter then this is the suffix inserted after the new letter header. Default: "". makeindex item 0 item_0item_0 What is put between two level 0 items. Default: "\n \\item ". makeindex item 1 item_1item_1 Put between two level 1 items. Default: "\n \\subitem ". makeindex item 2 item_2item_2 put between two level 2 items. Default: "\n \\subsubitem ". makeindex item 01 item_01item_01 What is put between a level 0 item and a level 1 item. Default: "\n \\subitem ". makeindex item x1 item_x1item_x1 What is put between a level 0 item and a level 1 item in the case that the level 0 item doesn&textrsquo;t have any page numbers (as in \index{aaa|see{bbb}}). Default: "\n \\subitem ". makeindex item 12 item_12item_12 What is put between a level 1 item and a level 2 item. Default: "\n \\subsubitem ". makeindex item x2 item_x2item_x2 What is put between a level 1 item and a level 2 item, if the level 1 item doesn&textrsquo;t have page numbers. Default: "\n \\subsubitem ". makeindex delim 0 delim_0delim_0 Delimiter put between a level 0 key and its first page number. Default: a comma followed by a blank, ", ". makeindex delim 1 delim_1delim_1 Delimiter put between a level 1 key and its first page number. Default: a comma followed by a blank, ", ". makeindex delim 2 delim_2delim_2 Delimiter between a level 2 key and its first page number. Default: a comma followed by a blank, ", ". makeindex delim n delim_ndelim_n Delimiter between two page numbers for the same key (at any level). Default: a comma followed by a blank, ", ". makeindex delim r delim_rdelim_r What is put between the starting and ending page numbers of a range. Default: "--". makeindex line max line_maxline_max An integer. Maximum length of an index entry&textrsquo;s line in the output, beyond which the line wraps. Default: 72. makeindex indent space indent_spaceindent_space What is inserted at the start of a wrapped line. Default: "\t\t". makeindex indent length indent_lengthindent_length A number. The length of the wrapped line indentation. The default indent_space is two tabs and each tab is eight spaces so the default here is 16. makeindex page precedence page_precedencepage_precedence A document may have pages numbered in different ways. For example, a book may have front matter pages numbered in lowercase roman while main matter pages are in arabic. This string specifies the order in which they will appear in the index. The makeindex command supports five different types of numerals: lowercase roman r, and numeric or arabic n, and lowercase alphabetic a, and uppercase roman R, and uppercase alphabetic A. Default: "rnaRA". xindy xindy program There are a number of other programs that do the job makeindex does. One is xindy, which does internationalization and can process indexes for documents marked up using &latex; and a number of other languages. It is highly configurable, both in markup terms and in terms of the collating order of the text, as described in its documentation.
\printindexmakeindexIndexes \printindex index, printing \printindex Synopsis:
\printindex
\printindex Place the index into the output. To get an index you must first include \usepackage{makeidx}\makeindex in the document preamble and compile the document, then run the system command makeindex, and then compile the document again. Indexes for further discussion and an example of the use of \printindex.
GlossariesIndexesFront/back matter
Glossaries glossary glossaries acronyms, list of \makeglossary \printglossaries Synopsis:
\usepackage{glossaries} \makeglossaries
  ...
\newglossaryentry{label}{settings}  
  ...
\gls{label}.  
  ...
\printglossaries
The glossaries package allows you to make glossaries, including multiple glossaries, as well as lists of acronyms. To get the output from this example, compile the document (for instance with pdflatex filename), then run the command line command makeglossaries filename, and then compile the document again.
\documentclass{...}  
\usepackage{glossaries} \makeglossaries
\newglossaryentry{tm}{%
  name={Turing machine},
  description={A model of a machine that computes.  The model is simple
               but can compute anything any existing device can compute.
               It is the standard model used in Computer Science.},
  }  
\begin{document}  
Everything begins with the definition of a \gls{tm}.  
  ...
\printglossaries
\end{document}
That gives two things. In the main text it outputs ... definition of a Turing machine. In addition, in a separate sectional unit headed Glossary there appears a description list. In boldface it says Turing machine and the rest of the item says in normal type A model of a machine &dots; Computer Science. \makeglossary \printglossaries .glo file The command \makeglossary opens the file that will contain the entry information, root-file.glo. Put the \printglossaries command where you want the glossaries to appear in your document. The glossaries package is very powerful. For instance, besides the commands \newglossaryentry and \gls, there are similar commands for a list of acronyms. See the package documentations on CTAN. \newglossaryentry
Declare the content of a glossary entry.
\gls
Give a page reference for a glossary entry.
\newglossaryentry\glsGlossaries \newglossaryentry glossary, entries \newglossaryentry Synopsis, one of:
\newglossaryentry{label} 
{ 
  name={name}, 
  description={description}, 
  other options, ... 
}
or
\longnewglossaryentry{label} 
{ 
  name={name}, 
  other options ..., 
} 
{description}
Declare a new entry for a glossary. The label must be unique for the document. The settings associated with the label are pairs: key=value. This puts the blackboard bold symbol for the real numbers 211D in the glossary.
\newglossaryentry{R}  
{  
  name={\ensuremath{\mathbb{R}}},  
  description={the real numbers},  
}
Use the second command form if the description spans more than one paragraph. For a full list of keys see the package documentation on CTAN but here are a few. namename (Required.) The word, phrase, or symbol that you are defining. descriptiondescription (Required.) The description that will appear in the glossary. If this has more than one paragraph then you must use the second command form given in the synopsis. pluralplural The plural form of name. Refer to the plural form using \glspl or \Glspl (\gls). sortsort How to place this entry in the list of entries that the glossary holds. symbolsymbol A symbol, such as a mathematical symbol, besides the name.
\gls\newglossaryentryGlossaries \gls glossary, entry reference \gls Synopsis, one of:
\gls{label}
\glspl{label}
\Gls{label}
\Glspl{label}
Refer to a glossary entry. The entries are declared with \newglossaryentry (\newglossaryentry). This
\newglossaryentry{N}{%
  name={the natural numbers},
  description={The numbers $0$, $1$, $2$, $\ldots$\&arobase;},
  symbol={\ensuremath{\mathbb{N}}},
  }  
  ...
Consider \gls{N}.
gives the output Consider the natural numbers. The second command form \glspl{label} produces the plural of name (by default it tries adding an s). The third form capitalizes the first letter of name, as does the fourth form, which also takes the plural.
LettersTerminal input/outputFront/back matterTop Letters letters, writing writing letters Synopsis:
\documentclass{letter}
\address{senders address}   % return address
\signature{sender name}
\begin{document}
\begin{letter}{recipient address}
\opening{salutation}
  letter body
\closing{closing text}
\end{letter}
   ...
\end{document}
Produce one or more letters. Each letter is in a separate letter environment, whose argument recipient address often contains multiple lines separated with a double backslash, (\\). For example, you might have:
 \begin{letter}{Ninon de l'Enclos \\
                l'h\^otel Sagonne}
   ...
 \end{letter}
The start of the letter environment resets the page number to 1, and the footnote number to 1 also. The sender address and sender name are common to all of the letters, whether there is one or more, so these are best put in the preamble. As with the recipient address, often sender address contains multiple lines separated by a double backslash (\\). &latex; will put the sender name under the closing, after a vertical space for the traditional hand-written signature. Each letter environment body begins with a required \opening command such as \opening{Dear Madam or Sir:}. The letter body text is ordinary &latex; so it can contain everything from enumerated lists to displayed math, except that commands such as \chapter that make no sense in a letter are turned off. Each letter environment body typically ends with a \closing command such as \closing{Yours,}. \\ for letters Additional material may come after the \closing. You can say who is receiving a copy of the letter with a command like \cc{the Boss \\ the Boss's Boss}. There&textrsquo;s a similar \encl command for a list of enclosures. And, you can add a postscript with \ps. &latex;&textrsquo;s default is to indent the sender name and the closing above it by a length of \longindentation. By default this is 0.5\textwidth. To make them flush left, put \setlength{\longindentation}{0em} in your preamble. To set a fixed date use something like \renewcommand{\today}{1958-Oct-12}. If put in your preamble then it will apply to all the letters. This example shows only one letter environment. The three lines marked as optional are typically omitted.
\documentclass{letter}
\address{Sender's street \\ Sender's town}
\signature{Sender's name \\ Sender's title}
% optional: \location{Mailbox 13}
% optional: \telephone{(102) 555-0101}
\begin{document}
\begin{letter}{Recipient's name \\ Recipient's address}
\opening{Sir:}
% optional: \thispagestyle{firstpage}
I am not interested in entering a business arrangement with you.
\closing{Your most humble, etc.,}
\end{letter}
\end{document}
These commands are used with the letter class. \address
Sender&textrsquo;s return address.
\cc
Carbon copy list.
\closing
Saying goodbye.
\encl
List of enclosed material.
\location
Sender&textrsquo;s organizational location.
\makelabels
Make address labels.
\name
Sender&textrsquo;s name, for the return address.
\opening
Saying hello.
\ps
Adding a postscript.
\signature
Sender&textrsquo;s signature.
\telephone
Sender&textrsquo;s phone number.
\address\ccLetters
\address \address Synopsis:
\address{senders address}
Specify the return address, as it appears on the letter and on the envelope. Separate multiple lines in senders address with a double backslash, \\. Because it can apply to multiple letters this declaration is often put in the preamble. However, it can go anywhere, including inside an individual letter environment. This command is optional: if you do not use it then the letter is formatted with some blank space on top, for copying onto pre-printed letterhead paper. If you do use the \address declaration then it is formatted as a personal letter. Here is an example.
\address{Stephen Maturin \\
         The Grapes of the Savoy}
\cc\closing\addressLetters
\cc \cc cc list, in letters Synopsis:
\cc{name0 \\ 
     ... }
Produce a list of names to which copies of the letter were sent. This command is optional. If it appears then typically it comes after \closing. Put the names on different lines by separating them with a double backslash, \\, as in:
\cc{President \\
    Vice President}
\closing\encl\ccLetters
\closing \closing letters, ending closing letters Synopsis:
\closing{text}
Produce the letter&textrsquo;s closing. This is optional, but usual. It appears at the end of a letter, above a handwritten signature. For example:
\closing{Regards,}
\encl\location\closingLetters
\encl \encl enclosure list Synopsis:
\encl{first enclosed object \\ 
       ... }
Produce a list of things included with the letter. This command is optional; when it is used, it typically is put after \closing. Separate multiple lines with a double backslash, \\.
\encl{License \\
      Passport}
\location\makelabels\enclLetters
\location \location Synopsis:
\location{text}
The text appears centered at the bottom of the page. It only appears if the page style is firstpage.
\makelabels\name\locationLetters
\makelabels \makelabels Synopsis:
\makelabels   % in preamble
Optional, for a document that contains letter environments. If you just put \makelabels in the preamble then at the end of the document you will get a sheet with labels for all the recipients, one for each letter environment, that you can copy to a sheet of peel-off address labels. Customize the labels by redefining the commands \startlabels, \mlabel, and \returnaddress (and perhaps \name) in the preamble. The command \startlabels sets the width, height, number of columns, etc., of the page onto which the labels are printed. The command \mlabel{return address}{recipient address} produces the two labels (or one, if you choose to ignore the return address) for each letter environment. The first argument, return address, is the value returned by the macro \returnaddress. The second argument, recipient address, is the value passed in the argument to the letter environment. By default \mlabel ignores the first argument, the return address, causing the default behavior described in the prior paragraph. This illustrates customization. Its output includes a page with two columns having two labels each.
\documentclass{letter}
\renewcommand*{\returnaddress}{Fred McGuilicuddy \\
                               Oshkosh, Mineola 12305}
\newcommand*\originalMlabel{}
\let\originalMlabel\mlabel
\def\mlabel#1#2{\originalMlabel{}{#1}\originalMlabel{}{#2}}
\makelabels
  ...
\begin{document}
\begin{letter}{A Einstein \\
               112 Mercer Street \\
               Princeton, New Jersey, USA 08540}
  ...
\end{letter}
\begin{letter}{K G\"odel \\
               145 Linden Lane \\
               Princeton, New Jersey, USA 08540}
  ...
\end{letter}
\end{document}
The first column contains the return address twice. The second column contains the address for each recipient. package, envlab envlab package The package envlab makes formatting the labels easier, with standard sizes already provided. The preamble lines \usepackage[personalenvelope]{envlab} and \makelabels are all that you need to print envelopes.
\name\opening\makelabelsLetters
\name \name Synopsis:
\name{name}
Optional. Sender&textrsquo;s name, used for printing on the envelope together with the return address.
\opening\ps\nameLetters
\opening \opening letters, starting Synopsis:
\opening{salutation}
Required. Follows the \begin{letter}{...}. The argument salutation is mandatory. For instance:
\opening{Dear John:}
\ps\signature\openingLetters
\ps \ps postscript, in letters Synopsis:
\ps{text}
Add a postscript. This command is optional and usually is used after \closing.
\ps{P.S. After you have read this letter, burn it. Or eat it.}
\signature\telephone\psLetters
\signature Synopsis:
\signature{first line \\
            ... }
\signature The sender&textrsquo;s name. This command is optional, although its inclusion is usual. The argument text appears at the end of the letter, after the closing. &latex; leaves some vertical space for a handwritten signature. Separate multiple lines with a double backslash, \\. For example:
\signature{J Fred Muggs \\
           White House}
&latex;&textrsquo;s default for the vertical space from the \closing text down to the \signature text is 6\medskipamount, which is six times \medskipamount (where \medskipamount is equal to a \parskip, which in turn is defined by default here to 0.7em). This command is usually in the preamble, to apply to all the letters in the document. To have it apply to one letter only, put it inside a letter environment and before the \closing. You can include a graphic in the signature as here.
\signature{\vspace{-6\medskipamount}\includegraphics{sig.png}\\
             My name}
For this you must put \usepackage{graphicx} in the preamble (Graphics).
\telephone\signatureLetters
\telephone \telephone Synopsis:
\telephone{number}
The sender&textrsquo;s telephone number. This is typically in the preamble, where it applies to all letters. This only appears if the firstpage pagestyle is selected. If so, it appears on the lower right of the page.
Terminal input/outputCommand lineLettersTop Terminal input/output input/output, to terminal terminal input/output \typein
Read text from the terminal.
\typeout
Write text to the terminal.
\typein\typeoutTerminal input/output
\typein \typein Synopsis, one of:
\typein{prompt-msg}
\typein[cmd]{prompt-msg}
Print prompt-msg on the terminal and cause &latex; to stop and wait for you to type a line of input. This line of input ends when you hit the return key. For example, this
As long as I live I shall never forget \typein{Enter student name:}
coupled with this command line interaction
Enter student name:

\&arobase;typein=Aphra Behn
gives the output ... never forget Aphra Behn. The first command version, \typein{prompt-msg}, causes the input you typed to be processed as if it had been included in the input file in place of the \typein command. In the second command version the optional argument cmd argument must be a command name &textmdash; it must begin with a backslash, \. This command name is then defined or redefined to be the input that you typed. For example, this
\typein[\student]{Enter student name:}
\typeout{Recommendation for \student .}
gives this output on the command line,
Enter student name:

\student=John Dee
Recommendation for John Dee.
where the user has entered John Dee.
\typeout\typeinTerminal input/output
\typeout \typeout Synopsis:
\typeout{msg}
Print msg on the terminal and in the log file. This
\newcommand{\student}{John Dee}
\typeout{Recommendation for \student .}
outputs Recommendation for John Dee. Like what happens here with \student, commands that are defined with \newcommand or \renewcommand (among others) are replaced by their definitions before being printed. &latex;&textrsquo;s usual rules for treating multiple spaces as a single space and ignoring spaces after a command name apply to msg. As above, use the command \space to get a single space, independent of surrounding spaces. Use ^^J to get a newline. Get a percent character with \csname &arobase;percentchar\endcsname. This command can be useful for simple debugging, as here:
\newlength{\jhlength}
\setlength{\jhlength}{5pt}
\typeout{The length is \the\jhlength.}
produces on the command line The length is 5.0pt.
Command lineDocument templatesTerminal input/outputTop Command line command line Synopsis (from a terminal command line):
pdflatex options argument
Run &latex; on argument. In place of pdflatex you can also use xelatex, or lualatex, or dviluatex, or latex. For example, this will run &latex; on the file thesis.tex, creating the output thesis.pdf.
pdflatex thesis
.tex, default extension Note that .tex is the default file extension. pdf&tex; is a development of the original &tex; program, as are Xe&tex; and Lua&tex; (&tex; engines). They are completely backward compatible. But the original program had a custom output format, DVI, while the newer ones can output directly to PDF. This allows them to take advantage of the extra features in PDF such as hyperlinks, support for modern image formats such as JPG and PNG, and ubiquitous viewing programs. In short, if you run pdflatex or xelatex or lualatex then you will by default get PDF and have access to all its modern features. If you run latex, or dvilualatex, then you will get DVI. The description here assumes pdf&latex;. Command line options, for a selection of the most useful command line options. As to argument, the usual case is that it does not begin with a backslash, so the system takes it to be the name of a file and it compiles that file. If argument begins with a backslash then the system will interpret it as a line of &latex; input, which can be used for special effects (Command line input). If you gave no arguments or options then pdflatex prompts for input from the terminal. You can escape from this by entering <control>-D. If &latex; finds an error in your document then by default it stops and asks you about it. Recovering from errors for an outline of what to do. Command line options
Read text from the terminal.
Command line input
Write text to the terminal.
Recovering from errors
When something goes wrong.
Command line optionsCommand line inputCommand line
Command line options options, command line These are the command-line options relevant to ordinary document authoring. For a full list, try running latex --help from the command line. With many implementations you can specify command line options by prefixing them with - or --. This is the case for both &tex; Live (and Mac&tex;) and MiK&tex;. We will use both conventions interchangeably. --version command-line option -version Show the current version, like pdfTeX 3.14159265-2.6-1.40.16 (TeX Live 2015/Debian) along with a small amount of additional information, and exit. --help command-line option -help Give a brief usage message that is useful as a prompt and exit. --interaction command-line option -interaction=mode &tex; compiles a document in one of four interaction modes: batchmode, nonstopmode, scrollmode, errorstopmode. In errorstop mode (the default), &tex; stops at each error and asks for user intervention. In batch mode it prints nothing on the terminal, errors are scrolled as if the user hit <return> at every error, and missing files cause the job to abort. In nonstop mode, diagnostic message appear on the terminal but as in batch mode there is no user interaction. In scroll mode, &tex; only stops for missing files or keyboard input. For instance, starting &latex; with this command line
pdflatex -interaction=batchmode filename
eliminates most terminal output. --jobname command-line option
-jobname=string Set the value of &tex;&textrsquo;s jobname to the string. The log file and output file will then be named string.log and string.pdf. When you run pdflatex options argument, if argument does not start with a backslash then &tex; considers it the name of a file to input. Otherwise it waits for the first \input instruction and the name of the input file will be the job name. This is used to name the log file the output file. The jobname option overrides that process and directly specifies the name. Command line input for an example of its use. --output-directory command-line option -output-directory=directory Write files in the directory directory. It must already exist. --shell-escape command-line option --no-shell-escape command-line option --enable-write18 command-line option --disable-write18 command-line option --shell-escape --no-shell-escape --enable-write18 --disable-write18 Enable or disable \write18{shell command}. The first two options are for with &tex; Live or Mac&tex; while the second two are for MiK&tex;. package, sagetex sagetex package Sometimes you want to run external system commands from inside a &latex; file. For instance the package sagetex allows you to have the mathematics software system Sage do calculations or draw graphs and then incorporate that output in your document. For this &tex; provides the \write18 command. But with this functionality enabled, security issues could happen if you compiled a &latex; file from the Internet. By default \write18 is disabled. (More precisely, by default &tex; Live, Mac&tex;, and MiK&tex; only allow the execution of a limited number of &tex;-related programs, which they distribute.) If you invoke &latex; with the option no-shell-escape, and in your document you call \write18{ls -l}, then you do not get an error but the log file says runsystem(ls -l)...disabled. --halt-on-error command-line option -halt-on-error Stop processing at the first error. --file-line-error command-line option --no-file-line-error command-line option -file-line-error -no-file-line-error Enable or disable filename:lineno:error-style error messages. These are only available with &tex; Live or Mac&tex;.
Command line inputRecovering from errorsCommand line optionsCommand line
Command line input input, on command line As part of the command line invocation pdflatex options argument you can specify arbitrary &latex; input by starting argument with a backslash. This allows you to do some special effects. package, hyperref hyperref package For example, this file (which uses the hyperref package for hyperlinks) can produce two kinds of output, one for paper and one for a PDF.
\ifdefined\paperversion        % in preamble
\newcommand{\urlcolor}{black}
\else
\newcommand{\urlcolor}{blue}
\fi
\usepackage[colorlinks=true,urlcolor=\urlcolor]{hyperref}
  ...
\href{https://www.ctan.org}{CTAN}  % in body
  ...
Compiling this document book.tex with the command line pdflatex book will give the CTAN link in blue. But compiling it with pdflatex "\def\paperversion{}\input book.tex" has the link in black. (Note the use of double quotes to prevent interpretation of the symbols by the command line shell; your system may do this differently.) In a similar way, from the single file main.tex you can compile two different versions.
pdflatex -jobname=students "\def\student{}\input{main}"
pdflatex -jobname=teachers "\def\teachers{}\input{main}"
The jobname option is there because otherwise both files would be called main.pdf and the second would overwrite the first. A final example. This loads the package graphicx with the option draft
pdflatex -jobname=aa "\RequirePackage[draft]{graphicx}\input{aa.tex}"
so the graphic files are read for their size information but not incorporated into the PDF. (The jobname option is there because otherwise the output file would be graphicx.pdf, as \RequirePackage does an \input of its own.)
Recovering from errorsCommand line inputCommand line
Recovering from errors If &latex; finds an error in your document then it gives you an error message and prompts you with a question mark, ?. For instance, running &latex; on this file
\newcommand{\NP}{\ensuremath{\textbf{NP}}}
The \PN{} problem is a million dollar one.
causes it show this, and wait for input.
! Undefined control sequence.
l.5 The \PN
           {} problem is a million dollar one.
? 
The simplest thing is to enter x and <return> and fix the typo. You could instead enter ? and <return> to see other options. * prompt prompt, * \stop There are two other error scenarios. The first is that you forgot to include the \end{document} or misspelled it. In this case &latex; gives you a * prompt. You can get back to the command line by typing \stop and <return>. The last scenario is that you mistyped the file name. For instance, instead of pdflatex test you might type pdflatex tste.
! I can't find file `tste'.
<*> tste
        
(Press Enter to retry, or Control-D to exit)
Please type another input file name:
The simplest thing is to enter <Control> and d (holding them down at the same time), and then retype the correct command line.
Document templatesIndexCommand lineTop Document templates document templates templates, document Although not reference material, perhaps these document templates will be useful. Additional template resources are listed at http://tug.org/interest.html#latextemplates. beamer template
article template
book template
Larger book template
tugboat template
beamer templatearticle templateDocument templates
beamer template beamer template and class template, beamer The beamer class creates presentation slides. It has a vast array of features, but here is a basic template: \documentclass{beamer} \title{Beamer Class template} \author{Alex Author} \date{July 31, 2007} \begin{document} \maketitle % without [fragile], any {verbatim} code gets mysterious errors. \begin{frame}[fragile] \frametitle{First Slide} \begin{verbatim} This is \verbatim! \end{verbatim} \end{frame} \end{document} One web resource for this: http://robjhyndman.com/hyndsight/beamer/.
article templatebook templatebeamer templateDocument templates
article template template, article \documentclass{article} \title{Article Class Template} \author{Alex Author} \begin{document} \maketitle \section{First section} Some text. \subsection{First section, first subsection} Additional text. \section{Second section} Some more text. \end{document}
book templateLarger book templatearticle templateDocument templates
book template template, book This is a straightforward template for a book. See Larger book template for a more elaborate one. \documentclass{book} \title{Book Class Template} \author{Alex Author} \begin{document} \maketitle \chapter{First} Some text. \chapter{Second} Some other text. \section{A subtopic} The end. \end{document}
Larger book templatetugboat templatebook templateDocument templates
Larger book template template, book This is a more elaborate template for a book. It has \frontmatter, \mainmatter, and \backmatter to control the typography of the three main areas of a book (\frontmatter & \mainmatter & \backmatter). The book has a bibliography and an index. Notable is that it uses \include and \includeonly (Splitting the input). While you are working on a chapter you can comment out all the other chapter entries from the argument to \includeonly. That will speed up compilation without losing any information such as cross-references. (Material that does not need to come on a new page is brought in with \input instead of \include. You don&textrsquo;t get the cross-reference benefit this way.) \documentclass[titlepage]{book} \usepackage{makeidx}\makeindex \title{Book Class Template} \author{Alex Author} \includeonly{% frontcover, preface, chap1, ... } \begin{document} \frontmatter \include{frontcover} % maybe comment out while drafting: \maketitle \input{dedication} \input{copyright} \tableofcontents \include{preface} \mainmatter \include{chap1} ... \appendix \include{appena} ... \backmatter \bibliographystyle{apalike} \addcontentsline{toc}{chapter}{Bibliography} \bibliography \addcontentsline{toc}{chapter}{Index} \printindex \include{backcover} \end{document}
tugboat templateLarger book templateDocument templates
tugboat template template, TUGboat TUGboat template ltugboat class TUGboat is the journal of the &tex; Users Group, http://tug.org/TUGboat. \documentclass{ltugboat} \usepackage{graphicx} \usepackage{ifpdf} \ifpdf \usepackage[breaklinks,hidelinks]{hyperref} \else \usepackage{url} \fi %%% Start of metadata %%% \title{Example \TUB\ article} % repeat info for each author. \author{First Last} \address{Street Address \\ Town, Postal \\ Country} \netaddress{user (at) example dot org} \personalURL{http://example.org/~user/} %%% End of metadata %%% \begin{document} \maketitle \begin{abstract} This is an example article for \TUB{}. Please write an abstract. \end{abstract} \section{Introduction} This is an example article for \TUB, linked from \url{http://tug.org/TUGboat/location.html}. We recommend the \texttt{graphicx} package for image inclusions, and the \texttt{hyperref} package if active urls are desired (in the \acro{PDF} output). Nowadays \TUB\ is produced using \acro{PDF} files exclusively. The \texttt{ltugboat} class provides these abbreviations (and many more): % verbatim blocks are often better in \small \begin{verbatim}[\small] \AllTeX \AMS \AmS \AmSLaTeX \AmSTeX \aw \AW \BibTeX \CTAN \DTD \HTML \ISBN \ISSN \LaTeXe \mf \MFB \plain \POBox \PS \SGML \TANGLE \TB \TP \TUB \TUG \tug \UNIX \XeT \WEB \WEAVE \, \bull \Dash \dash \hyph \acro{FRED} -> {\small[er] fred} % please use! \cs{fred} -> \fred \meta{fred} -> <fred> \nth{n} -> 1st, 2nd, ... \sfrac{3/4} -> 3/4 \booktitle{Book of Fred} \end{verbatim} For references to other \TUB\ issue, please use the format \textsl{volno:issno}, e.g., ``\TUB\ 32:1'' for our \nth{100} issue. This file is just a template. The \TUB\ style documentation is the \texttt{ltubguid} document at \url{http://ctan.org/pkg/tugboat}. (For \CTAN\ references, where sensible we recommend that form of url, using \texttt{/pkg/}; or, if you need to refer to a specific file location, \texttt{http://mirror.ctan.org/\textsl{path}}.) Email \verb|tugboat@tug.org| if problems or questions. \bibliographystyle{plain} % we recommend the plain bibliography style \nocite{book-minimal} % just making the bibliography non-empty \bibliography{xampl} % xampl.bib comes with BibTeX \makesignature \end{document}
IndexDocument templatesTop Index Command Index