diff options
Diffstat (limited to 'Master')
| -rw-r--r-- | Master/texmf-dist/doc/latex/mandi/README | 1 | ||||
| -rw-r--r-- | Master/texmf-dist/doc/latex/mandi/mandi.pdf | bin | 1122965 -> 1170482 bytes | |||
| -rw-r--r-- | Master/texmf-dist/source/latex/mandi/mandi.dtx | 2885 | ||||
| -rw-r--r-- | Master/texmf-dist/source/latex/mandi/mandi.ins | 18 | ||||
| -rw-r--r-- | Master/texmf-dist/tex/latex/mandi/mandi.sty | 1385 | ||||
| -rwxr-xr-x | Master/tlpkg/bin/tlpkginfo | 3 | ||||
| -rwxr-xr-x | Master/tlpkg/libexec/ctan2tds | 5 |
7 files changed, 3081 insertions, 1216 deletions
diff --git a/Master/texmf-dist/doc/latex/mandi/README b/Master/texmf-dist/doc/latex/mandi/README index 38d7260a6c5..1e839c95205 100644 --- a/Master/texmf-dist/doc/latex/mandi/README +++ b/Master/texmf-dist/doc/latex/mandi/README @@ -7,3 +7,4 @@ does not do computations. It only provides commands for typesetting. Run the file mandi.dtx through (pdf)LaTeX to generate mandi.ins, mandi.sty, vdemo.py, and mandi.pdf (user documentation). I assume a TeX Live 2011 or later distribution is installed. + diff --git a/Master/texmf-dist/doc/latex/mandi/mandi.pdf b/Master/texmf-dist/doc/latex/mandi/mandi.pdf Binary files differindex 4d1097fa6d3..30c1c36fc41 100644 --- a/Master/texmf-dist/doc/latex/mandi/mandi.pdf +++ b/Master/texmf-dist/doc/latex/mandi/mandi.pdf diff --git a/Master/texmf-dist/source/latex/mandi/mandi.dtx b/Master/texmf-dist/source/latex/mandi/mandi.dtx index c4a1e12b587..9c5baf6b114 100644 --- a/Master/texmf-dist/source/latex/mandi/mandi.dtx +++ b/Master/texmf-dist/source/latex/mandi/mandi.dtx @@ -1,7 +1,7 @@ % \iffalse meta-comment % !TEX TS-program = dtxmk % -% Copyright (C) 2014 by Paul J. Heafner <heafnerj@gmail.com> +% Copyright (C) 2016 by Paul J. Heafner <heafnerj@gmail.com> % --------------------------------------------------------------------------- % This work may be distributed and/or modified under the conditions of the % LaTeX Project Public License, either version 1.3 of this license or (at @@ -16,11 +16,11 @@ % % This work consists of the files mandi.dtx % README +% mandi.pdf % % and includes the derived files mandi.ins -% mandi.sty -% vdemo.py and -% mandi.pdf. +% mandi.sty and +% vdemo.py. % --------------------------------------------------------------------------- % % \fi @@ -32,7 +32,7 @@ %</internal> % %<*package> -\ProvidesPackage{mandi}[2014/12/29 2.4.0 Macros for physics and astronomy] +\ProvidesPackage{mandi}[2016/03/15 2.5.1 Macros for physics and astronomy] \NeedsTeXFormat{LaTeX2e}[1999/12/01] %</package> % @@ -78,7 +78,7 @@ while 1: \usedir{tex/latex/mandi} \preamble -Copyright (C) 2014 by Paul J. Heafner <heafnerj@gmail.com> +Copyright (C) 2016 by Paul J. Heafner <heafnerj@gmail.com> --------------------------------------------------------------------------- This work may be distributed and/or modified under the conditions of the LaTeX Project Public License, either version 1.3 of this license or (at @@ -93,11 +93,11 @@ The Current Maintainer of this work is Paul J. Heafner. This work consists of the files mandi.dtx README + mandi.pdf and includes the derived files mandi.ins - mandi.sty - vdemo.py and - mandi.pdf. + mandi.sty and + vdemo.py. --------------------------------------------------------------------------- \endpreamble @@ -105,7 +105,7 @@ and includes the derived files mandi.ins \generate{\file{\jobname.sty}{\from{\jobname.dtx}{package}}} \generate{\file{\jobname.ins}{\from{\jobname.dtx}{install}}} \generate{\usepreamble\empty\usepostamble\empty - \file{README.txt}{\from{\jobname.dtx}{readme}}} + \file{vdemo.py}{\from{\jobname.dtx}{vdemo}}} \obeyspaces \Msg{*************************************************************} @@ -126,7 +126,7 @@ and includes the derived files mandi.ins \usedir{tex/latex/mandi} \generate{\file{\jobname.ins}{\from{\jobname.dtx}{install}}} \generate{\usepreamble\empty\usepostamble\empty - \file{README.txt}{\from{\jobname.dtx}{readme}}} + \file{vdemo.py}{\from{\jobname.dtx}{vdemo}}} \ifx\fmtname\nameofplainTeX \expandafter\endbatchfile \else @@ -140,34 +140,31 @@ and includes the derived files mandi.ins % %<*driver> \documentclass[10pt]{ltxdoc} -\setlength{\marginparwidth}{0.50in} % placement of todonotes -\usepackage{\jobname} % load mandi -\usepackage{parskip} % no indents, space between paragraphs -\usepackage[textwidth=1.0cm]{todonotes} % allow for todonotes -\usepackage[left=0.75in,right=1.00in]{geometry} % main documentation -\usepackage{array,rotating,microtype} % accessory packages -\usepackage[listings,documentation]{tcolorbox} % workhorse package -\tcbset{index german settings} % set index options +\setlength{\marginparwidth}{0.50in} % placement of todonotes +\usepackage{\jobname} % load mandi +\usepackage{parskip} % no indents/space btwn paras +\usepackage[textwidth=1.0cm]{todonotes} % allow for todonotes +\usepackage[left=0.75in,right=1.00in]{geometry} % main documentation +\usepackage{array,rotating,microtype} % accessory packages +\usepackage[listings,documentation]{tcolorbox} % workhorse package +\tcbset{index german settings,color hyperlink=blue} % set index options +\hypersetup{colorlinks=true} \newcommandx{\ntodo}[2][1,usedefault]{% \ifthenelse{\equal{#1}{}} {\todo[size=\footnotesize,fancyline,caption={#2},color=yellow!40] {\begin{sideways}#2\end{sideways}}} {\todo[size=\footnotesize,fancyline,caption={#1},color=yellow!40] {\begin{sideways}#2\end{sideways}}}} -\DisableCrossrefs % index descriptions only -\PageIndex % index contains page numbers -\CodelineNumbered % number source lines -\RecordChanges % record changes -\everymath{\displaystyle} % default math style -%\DeclareMathSizes{10}{18}{12}{8} -%\DeclareMathSizes{11}{19}{13}{9} -%\DeclareMathSizes{12}{20}{14}{10} -\begin{document} % main document +\DisableCrossrefs % index descriptions only +\PageIndex % index contains page numbers +\CodelineNumbered % number source lines +\RecordChanges % record changes +\begin{document} % main document \DocInput{\jobname.dtx} \newgeometry{left=1.00in,right=1.00in,top=1.00in,bottom=1.00in} \PrintIndex \restoregeometry -\end{document} % end main document +\end{document} % end main document %</driver> % \fi % @@ -185,7 +182,7 @@ and includes the derived files mandi.ins % package is indexed. There may be commands similar to indexed commands % described in relevant parts of the documentation.} % -% \CheckSum{5689} +% \CheckSum{6069} % % \CharacterTable % {Upper-case \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z @@ -220,11 +217,18 @@ and includes the derived files mandi.ins % \newgeometry{left=1.0in,right=1.0in,top=1.0in,bottom=1.0in} % \tableofcontents % \newpage -% \PrintChanges +% \phantomsection % \addcontentsline{toc}{section}{Change History} +% \PrintChanges +% \newpage +% \phantomsection % \addcontentsline{toc}{section}{Possible Future Enhancements} % \listoftodos[Possible Future Enhancements] % \newpage +% \phantomsection +% \addcontentsline{toc}{section}{Program Listings} +% \lstlistoflistings +% \newpage % \restoregeometry % % \section{Introduction} @@ -241,17 +245,18 @@ and includes the derived files mandi.ins % curriculum.} by Ruth Chabay and Bruce Sherwood. The package certainly is rather % tightly tied to that textbook but can be used for typesetting any document that % requires consistent physics notation. With \mandi\ many complicated expressions -% can be typeset with just a single command. Great thought has been given to command -% names and I hope users find the conventions logical and easy to remember. +% can be typeset with just a single command. Great thought has been given to +% command names and I hope users find the conventions logical and easy to remember. % % There are other underlying philosophies and goals embedded within \mandi, % all of which are summarized here. These philosophies are % \begin{itemize} % \item to employ a \textit{type what you think} model for remembering commands -% \item to relieve the user of having to explicitly worry about typesetting SI units +% \item to relieve the user of having to explicitly worry about typesetting SI +% units % \item to enforce certain concepts that are too frequently merged, such as the -% distinction between a vector quantity and its magnitude (e.g.\ we often use the -% same name for both) +% distinction between a vector quantity and its magnitude (e.g.\ we often use +% the same name for both) % \item to enforce consistent terminology in the naming of quantities, with names % that are both meaningful to introductory students and accurate % (e.g.\ \textit{duration} vs.\ \textit{time}) @@ -262,8 +267,8 @@ and includes the derived files mandi.ins % benefit physics students. % % \section{Building From Source} -% I am assuming the user will use pdf\LaTeX, which creates PDF files as output, to -% build the documentation. I have not tested the build with with standard \LaTeX, +% I am assuming the user will use pdf\LaTeX, which creates PDF files as output, +% to build the documentation. I have not tested the build with with standard \LaTeX, % which creates DVI files. % % \newpage @@ -271,17 +276,20 @@ and includes the derived files mandi.ins % To load \mandi\ with its default options, simply put the line |\usepackage{mandi}| % in your document's preamble. To use the package's available options, put the line % |\usepackage|\textbf{[}\opt{options}\textbf{]}|{mandi}| in your document's preamble. -% There are five available options, with one option being based on the absence of +% There are six available options, with one option being based on the absence of % two of the others. The options are described below. % \changes{v2.4.0}{2014/12/16}{Made option names consistent with default behavior.} % \changes{v2.4.0}{2014/12/16}{Added option for boldface vector kernels.} % \changes{v2.4.0}{2014/12/16}{Added option for approximate values of constants.} +% \changes{v2.5.0}{2015/09/13}{Removed autosized parentheses in math mode.} +% \changes{v2.5.0}{2015/12/27}{Added option for radians in certain angular quantities.} +% \changes{v2.5.1}{2016/03/13}{Fixed errors in build for uploading to CTAN.} % % \begin{itemize} -% \item \opt{boldvectors} gives bold letters for the kernels of vector names. No -% arrows are used above the kernel. -% \item \opt{romanvectors} gives Roman letters for the kernels of vectors names. An -% arrow appears over the kernel. +% \item \opt{boldvectors} gives bold letters for the kernels of vector names. +% No arrows are used above the kernel. +% \item \opt{romanvectors} gives Roman letters for the kernels of vectors names. +% An arrow appears over the kernel. % \item If neither \opt{boldvectors} nor \opt{romanvectors} is specified (the % default), vectors are displayed with italic letters for the kernels of vector % names and an arrow appears over the kernel. @@ -291,6 +299,9 @@ and includes the derived files mandi.ins % \item \opt{approxconsts} gives approximate values of constants to one or two % significant figures, depending on how they appear in \mi. Otherwise, the most % precise currently available values are used. Precise constants is the default. +% \item \opt{useradians} gives radians in the units of angular momentum, +% angular impulse, and torque. The default is to not use radians in the units +% of these quantities. % \item \opt{baseunits} causes all units to be displayed in \baseunits\ form, with % SI base units. No solidi (slashes) are used. Positive and negative exponents % are used to denote powers of various base units. @@ -299,10 +310,10 @@ and includes the derived files mandi.ins % many of these derived units. % \item If neither \opt{baseunits} nor \opt{drvdunits} is specified (the % default), units are displayed in what I call \tradunits\ form, which -% is typically the way they would traditionally appear in textbooks. Units in this -% form frequently hide the underlying physical meaning and are probably not best -% pedagogically but are familiar to students and teachers. In this document, the -% default is to use +% is typically the way they would traditionally appear in textbooks. Units in +% this form frequently hide the underlying physical meaning and are probably not +% best pedagogically but are familiar to students and teachers. In this document, +% the default is to use % \ifthenelse{\boolean{@optbaseunits}} % {base} % {\ifthenelse{\boolean{@optdrvdunits}} @@ -313,14 +324,16 @@ and includes the derived files mandi.ins % \end{itemize} % % \changes{v2.4.0}{2014/12/17}{Now coexists with the \pkgname{commath} package.} +% \changes{v2.5.0}{2015/09/13}{Removed compatibility check for the \pkgname{commath} +% package.} % \mandi\ coexists with the \pkgname{siunitx} package. While there is some % functional overlap between the two packages, \mandi\ is completely independent of % \pkgname{siunitx}. The two are designed for different purposes and probably also % for different audiences, but can be used together if desired. \mandi\ coexists with -% the \pkgname{commath} package. If \mandi\ detects that \pkgname{commath} has been -% loaded, \pkgname{commath}'s |\abs| command will be used rather than \mandi's. -% \mandi\ no longer checks for the presence of the \pkgname{physymb} package. That -% package now incorporates \mandi\ dependencies, and the two are completely compatible. +% the \pkgname{commath} package. There is no longer a conflict because \mandi's +% |\abs| command has been renamed to |\absof|. \mandi\ no longer checks for the +% presence of the \pkgname{physymb} package. That package now incorporates \mandi\ +% dependencies, and the two are completely compatible. % \changes{v2.4.0}{2014/12/19}{Removed compatibility check for the \pkgname{physymb} % package.} % @@ -342,7 +355,7 @@ and includes the derived files mandi.ins %<*example> %\fi \begin{dispExample} -\[ K \approx \frac{1}{2}\left(\unit{2}{\kg}\right)\left(\unit{2}{\m\per\s}\right)^2 \] +\[ K \approx \frac{1}{2}(\unit{2}{\kg})(\unit{2}{\m\per\s})^2 \] \end{dispExample} %\iffalse %</example> @@ -419,8 +432,8 @@ Calculate the magnitude of \momentum{\mivector{3,2,5}}. % % There is another persistent problem with introductory physics textbooks, and that % is that many authors do not use consistent notation. Many authors define the -% notation for a vector's magnitude to be either \magvect{a} or \abs{\vect{a}} in an -% early chapter, but then completely ignore that notation and simply use \(a\) +% notation for a vector's magnitude to be either \magvect{a} or \absof{\vect{a}} in +% an early chapter, but then completely ignore that notation and simply use \(a\) % later in the book. I have never understood the (lack of) logic behind this practice % and find it more than annoying. Textbooks authors should know better, and should % set a better example for introductory students. I propose that using \mandi\ @@ -431,32 +444,12 @@ Calculate the magnitude of \momentum{\mivector{3,2,5}}. % document to see everything it can do. % % \section{Features and Commands} -% \subsection{Autosized Parentheses} -% An experimental feature of \mandi\ is autosized parentheses in math mode. This means -% you need never use |\left(| or |\right)|. Just use unadorned parentheses and they will -% size correctly. Note that this only works in math mode, only works for parentheses and -% not for other delimiters. +% \subsection{Autosized Parentheses Removed} +% An experimental feature of past \mandi\ versions was autosized parentheses in math +% mode. This feature has been removed, mostly because parentheses and some other +% delimiters have been replaced by commands that leave placeholders if the argument +% is empty. Autosized parentheses may return in a future version. % -%\iffalse -%<*example> -%\fi -\begin{dispExample} -(\oofpezmathsymbol) is how it looks in text mode. -\end{dispExample} -%\iffalse -%</example> -%\fi -% -%\iffalse -%<*example> -%\fi -\begin{dispExample} -\( (\oofpezmathsymbol) \) is how it looks in math mode. -\end{dispExample} -%\iffalse -%</example> -%\fi -% % \subsection{SI Base Units and Dimensions} % This is not a tutorial on SI units and the user is assumed to be familiar with SI % rules and usage. Begin by defining shortcuts for the units for the seven SI base @@ -472,7 +465,8 @@ Calculate the magnitude of \momentum{\mivector{3,2,5}}. %<*example> %\fi \begin{docCommand}{m}{} - Command for metre, the SI unit of spatial displacement (length). + Command for \href{http://en.wikipedia.org/wiki/metre}{metre}, the SI unit of + spatial displacement (length). \end{docCommand} %\iffalse %</example> @@ -482,7 +476,8 @@ Calculate the magnitude of \momentum{\mivector{3,2,5}}. %<*example> %\fi \begin{docCommand}{kg}{} - Command for kilogram, the SI unit of mass. + Command for \href{http://en.wikipedia.org/wiki/kilogram}{kilogram}, the SI unit + of mass. \end{docCommand} %\iffalse %</example> @@ -492,7 +487,8 @@ Calculate the magnitude of \momentum{\mivector{3,2,5}}. %<*example> %\fi \begin{docCommand}{s}{} - Command for second, the SI unit of temporal displacement (duration). + Command for \href{http://en.wikipedia.org/wiki/second}{second}, the SI unit + of temporal displacement (duration). \end{docCommand} %\iffalse %</example> @@ -502,7 +498,8 @@ Calculate the magnitude of \momentum{\mivector{3,2,5}}. %<*example> %\fi \begin{docCommand}{A}{} - Command for ampere, the SI unit of electric current. + Command for \href{http://en.wikipedia.org/wiki/ampere}{ampere}, the SI unit + of electric current. \end{docCommand} %\iffalse %</example> @@ -512,7 +509,8 @@ Calculate the magnitude of \momentum{\mivector{3,2,5}}. %<*example> %\fi \begin{docCommand}{K}{} -Command for kelvin, the SI unit of thermodynamic temperature. + Command for \href{http://en.wikipedia.org/wiki/kelvin}{kelvin}, the SI unit + of thermodynamic temperature. \end{docCommand} %\iffalse %</example> @@ -522,7 +520,8 @@ Command for kelvin, the SI unit of thermodynamic temperature. %<*example> %\fi \begin{docCommand}{mol}{} -Command for mole, the SI unit of amount. + Command for \href{http://en.wikipedia.org/wiki/mole}{mole}, the SI unit of + amount. \end{docCommand} %\iffalse %</example> @@ -532,16 +531,17 @@ Command for mole, the SI unit of amount. %<*example> %\fi \begin{docCommand}{cd}{} -Command for candela, the SI unit of luminous intensity. + Command for \href{http://en.wikipedia.org/wiki/candela}{candela}, the SI + unit of luminous intensity. \end{docCommand} %\iffalse %</example> %\fi % % If \mandi\ was invoked with \opt{baseunits}, then every physical quantity will -% have a unit that is some product of powers of these seven base SI units. Exceptions -% are angular quantities, which will include either degrees or radians depending upon -% the application. Again, this is what we mean by \baseunits\ form. +% have a unit that is some product of powers of these seven base SI units. +% Exceptions are angular quantities, which will include either degrees or radians +% depending upon the application. Again, this is what we mean by \baseunits\ form. % % Certain combinations of the SI base units have nicknames and each such % combination and nickname constitutes a \textit{derived unit}. Derived units are @@ -549,16 +549,18 @@ Command for candela, the SI unit of luminous intensity. % particular combinations of base units. An example of a derived unit is the % newton, for which the symbol (it is not an abbreviation) is \newton. However, % the symbol \newton\ is merely a nickname for a particular combination of base -% units. It is not the case that every unique combination of base units has a nickname, -% but those that do are usually named in honor of a scientist. Incidentally, in such -% cases, the symbol is capitalized but the \textit{name} of the unit is \textbf{never} -% capitalized. Thus we would write the name of the derived unit of force as newton and -% not Newton. Again, using these select nicknames for certain combinations of base units -% is what we mean by \drvdunits\ form. +% units. It is not the case that every unique combination of base units has a +% nickname, but those that do are usually named in honor of a scientist. +% Incidentally, in such cases, the symbol is capitalized but the \textit{name} +% of the unit is \textbf{never} capitalized. Thus we would write the name of the +% derived unit of force as newton and not Newton. Again, using these select +% nicknames for certain combinations of base units is what we mean by \drvdunits\ +% form. % % \subsection{SI Dimensions} -% For each SI unit, there is a corresponding dimension. Every physical quantity is some -% multiplicative product of each of the seven basic SI dimensions raised to a power. +% For each SI unit, there is a corresponding dimension. Every physical quantity +% is some multiplicative product of each of the seven basic SI dimensions raised +% to a power. % %\iffalse %<*example> @@ -666,65 +668,64 @@ Defines a new physics quantity and its associated commands. % % Using this command causes several things to happen. % \begin{itemize} -% \item A command \colDef{\cs{newname}}\marg{magnitude}, where \colDef{newname} is the -% first argument of -% \colDef{\cs{newphysicsquantity}}, is created that takes one mandatory -% argument, a numerical magnitude. Subsequent use of your defined scalar quantity -% can be invoked by typing \colDef{\cs{newname}}\marg{magnitude} and the units will be -% typeset according to the options given when \mandi\ was loaded. Note that if the -% \drvdunits\ and \tradunits\ forms are not specified, they will be -% populated with the \baseunits\ form. +% \item A command \colDef{\cs{newname}}\marg{magnitude}, where \colDef{newname} +% is the first argument of \colDef{\cs{newphysicsquantity}}, is created that +% takes one mandatory argument, a numerical magnitude. Subsequent use of your +% defined scalar quantity can be invoked by typing \colDef{\cs{newname}} +% \marg{magnitude} and the units will be typeset according to the options +% given when \mandi\ was loaded. Note that if the \drvdunits\ and \tradunits\ +% forms are not specified, they will be populated with the \baseunits\ form. % \item A command \colDef{\cs{newnamebaseunit}}\marg{magnitude} is created that -% expresses -% the quantity and its units in \baseunits\ form. +% expresses the quantity and its units in \baseunits\ form. % \item A command \colDef{\cs{newnamedrvdunit}}\marg{magnitude} is created that -% expresses -% the quantity and its units in \drvdunits\ form. This command is created whether -% or not the first optional argument is provided. +% expresses the quantity and its units in \drvdunits\ form. This command is +% created whether or not the first optional argument is provided. % \item A command \colDef{\cs{newnametradunit}}\marg{magnitude} is created that % expresses the quantity and its units in \tradunits\ form. This command is % created whether or not the first optional argument is provided. -% \item A command \colDef{\cs{newnameonlybaseunit}}\marg{magnitude} is created that -% expresses \textbf{only} the quantity's units in \baseunits\ form. -% \item A command \colDef{\cs{newnameonlydrvdunit}}\marg{magnitude} is created that -% expresses \textbf{only} the quantity's units in \drvdunits\ form. -% \item A command \colDef{\cs{newnameonlytradunit}}\marg{magnitude} is created that -% expresses \textbf{only} the quantity's units in \tradunits\ form. -% \item A command \colDef{\cs{newnamevalue}}\marg{magnitude} is created that expresses -% \textbf{only} the quantity's numerical value. +% \item A command \colDef{\cs{newnameonlybaseunit}}\marg{magnitude} is created +% that expresses \textbf{only} the quantity's units in \baseunits\ form. +% \item A command \colDef{\cs{newnameonlydrvdunit}}\marg{magnitude} is created +% that expresses \textbf{only} the quantity's units in \drvdunits\ form. +% \item A command \colDef{\cs{newnameonlytradunit}}\marg{magnitude} is created +% that expresses \textbf{only} the quantity's units in \tradunits\ form. +% \item A command \colDef{\cs{newnamevalue}}\marg{magnitude} is created that +% expresses \textbf{only} the quantity's numerical value. % \end{itemize} % % As an example, consider momentum. The following commands are defined: % % \begin{quotation} % \begin{tabular}{l l l} -% |\momentum{3}| &\momentum{3} & unit determined by global options \\ -% |\momentumbaseunit{3}| &\momentumbaseunit{3} & quantity with base unit \\ -% |\momentumdrvdunit{3}| &\momentumdrvdunit{3} & quantity with derived unit \\ -% |\momentumtradunit{3}| &\momentumtradunit{3} & quantity with traditional unit \\ -% |\momentumvalue{3}| &\momentumvalue{3} & selects numerical value of quantity \\ -% |\momentumonlybaseunit|&\momentumonlybaseunit & selects only base unit \\ -% |\momentumonlydrvdunit|&\momentumonlydrvdunit & selects only derived unit \\ +% |\momentum{3}| &\momentum{3} & unit set by global options \\ +% |\momentumbaseunit{3}| &\momentumbaseunit{3} & quantity with base unit \\ +% |\momentumdrvdunit{3}| &\momentumdrvdunit{3} & quantity with derived unit \\ +% |\momentumtradunit{3}| &\momentumtradunit{3} & quantity with traditional unit \\ +% |\momentumvalue{3}| &\momentumvalue{3} & selects only numerical value \\ +% |\momentumonlybaseunit|&\momentumonlybaseunit & selects only base unit \\ +% |\momentumonlydrvdunit|&\momentumonlydrvdunit & selects only derived unit \\ % |\momentumonlytradunit|&\momentumonlytradunit & selects only traditional unit % \end{tabular} % \end{quotation} % % Momentum is a vector quantity, so obviously this command really refers to the -% magnitude of a momentum vector. There is an interesting, and as far as I can tell -% unwritten, convention in physics that we use the same name for a vector and its -% magnitude with one exception, and that is for velocity, the magnitude of which we -% sometimes call speed. Conceptually, however, velocity and speed are different -% entities. Therefore, \mandi\ has different commands for them. Actually, the -% \cs{speed} command is just an alias for \cs{velocity} and should only be used for -% scalars and never for vectors. This convention means that the same name is used -% for vector quantities and the corresponding magnitudes. +% magnitude of a momentum vector. There is an interesting, and as far as I can +% tell unwritten, convention in physics that we use the same name for a vector +% and its magnitude with one exception, and that is for velocity, the magnitude +% of which we sometimes call speed. Conceptually, however, velocity and speed are +% different entities. Therefore, \mandi\ has different commands for them. Actually, +% the \cs{speed} command is just an alias for \cs{velocity} and should only be used +% for scalars and never for vectors. This convention means that the same name is +% used for vector quantities and the corresponding magnitudes. % % \subsubsection{Defining Vector Quantities} % % All physical quantities are defined as in the momentum example above regardless -% of whether the quantity is a scalar or a vector. To typeset a vector quantity, -% specify an argument consisting of a vector with components as a comma separated -% list in a \cs{mivector} command. So specifying a momentum vector is as simple as +% of whether the quantity is a scalar or a vector. To typeset a vector quantity in +% terms of its components in some coordinate system (usually an orthonormal +% cartesian system, specify an argument consisting of a vector with components as +% a comma separated list in a \cs{mivector} command. So specifying a momentum vector +% is as simple as % %\iffalse %<*example> @@ -739,8 +740,9 @@ Defines a new physics quantity and its associated commands. % where the notation corresponds to that used in \mi. % % \subsection{First Semester Physics} -% The first semester of \mi\, and indeed most traditional introductory calculus-based -% physics course, focuses on mechanics, dynamics, and statistical mechanics. +% The first semester of \mi\, and indeed most traditional introductory +% calculus-based physics course, focuses on mechanics, dynamics, and statistical +% mechanics. % % \subsubsection{Predefined Quantities} % @@ -839,8 +841,8 @@ a luminous intensity of \luminous{5} %</example> %\fi % -% While we're at it, let's also go ahead and define a few non-SI units from astronomy -% and astrophysics. +% While we're at it, let's also go ahead and define a few non-SI units from +% astronomy and astrophysics. % %\iffalse %<*example> @@ -1251,9 +1253,10 @@ a distance of \insolard{2} % % Now let us move on into first semester physics, defining quantities in the % approximate order in which they appear in \mi. Use |M\timestento{P}[U]| to get -% scientific notation, with the mantissa immediately preceding the command and the -% exponent as the required argument. |\timestento| has an optional second argument -% that specifies a unit, but that is not needed or used in the following examples. +% scientific notation, with the mantissa immediately preceding the command and +% the exponent as the required argument. |\timestento| has an optional second +% argument that specifies a unit, but that is not needed or used in the following +% examples. % %\iffalse %<*example> @@ -1290,11 +1293,12 @@ a velocity of \velocity{\mivector{3,2,-1}} %<*example> %\fi \begin{docCommand}{speed}{\marg{magnitude}} -Command for speed. Technically, velocity is defined as the quotient of displacement -and duration while speed is defined as the quotient of distance traveled and -duration. They have the same dimension and unit, but are slightly conceptually -different so separate commands are provided. I've never seen speed used as anything -other than a scalar, but of course you can specify a vector if you wish. +Command for speed. Technically, velocity is defined as the quotient of +displacement and duration while speed is defined as the quotient of distance +traveled and duration. They have the same dimension and unit, but are slightly +conceptually different so separate commands are provided. I've never seen speed +used as anything other than a scalar, but of course you can specify a vector +if you wish. \end{docCommand} \begin{dispExample*}{sidebyside} a speed of \velocity{8.25} @@ -1309,9 +1313,9 @@ a speed of \velocity{8.25} %<*example> %\fi \begin{docCommand}{lorentz}{\marg{magnitude}} -Command for relativistic Lorentz factor. Obviously this command doesn't do anything -visually, but is included for thinking about calculations where this quantity is -needed. +Command for relativistic Lorentz factor. Obviously this command doesn't do +anything visually, but is included for thinking about calculations where this +quantity is needed. \end{docCommand} \begin{dispExample*}{sidebyside} a Lorentz factor of \lorentz{2.34} @@ -1574,6 +1578,7 @@ an angular velocity of \angularvelocity{2.34} %\iffalse %</example> %\fi +% %\iffalse %<*example> %\fi @@ -1586,11 +1591,14 @@ an angular acceleration of \angularacceleration{2.34} %\iffalse %</example> %\fi +% %\iffalse %<*example> %\fi \begin{docCommand}{angularmomentum}{\marg{magnitude or vector}} -Command for angular momentum. +Command for angular momentum. Whether or not the units contain radians is +determined by whether the \opt{useradians} option was used when +\pkgname{mandi} was loaded. \end{docCommand} \begin{dispExample*}{sidebyside} an angular momentum of \angularmomentum{2.34} @@ -1602,11 +1610,13 @@ an angular momentum of \angularmomentum{2.34} %\iffalse %<*example> %\fi -\begin{docCommand}{momentofinertia}{\marg{magnitude}} -Command for moment of inertia. +\begin{docCommand}{angularimpulse}{\marg{magnitude or vector}} +Command for angular impulse. Whether or not the units contain radians is +determined by whether the \opt{useradians} option was used when +\pkgname{mandi} was loaded. \end{docCommand} \begin{dispExample*}{sidebyside} -a moment of inertia of \momentofinertia{2.34} +an angular impulse of \angularimpulse{2.34} \end{dispExample*} %\iffalse %</example> @@ -1616,7 +1626,9 @@ a moment of inertia of \momentofinertia{2.34} %<*example> %\fi \begin{docCommand}{torque}{\marg{magnitude or vector}} -Command for torque. +Command for torque. Whether or not the units contain radians is +determined by whether the \opt{useradians} option was used when +\pkgname{mandi} was loaded. \end{docCommand} \begin{dispExample*}{sidebyside} a torque of \torque{2.34} @@ -1628,6 +1640,19 @@ a torque of \torque{2.34} %\iffalse %<*example> %\fi +\begin{docCommand}{momentofinertia}{\marg{magnitude}} +Command for moment of inertia. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a moment of inertia of \momentofinertia{2.34} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi \begin{docCommand}{entropy}{\marg{magnitude}} Command for entropy. \end{docCommand} @@ -1690,17 +1715,18 @@ an angular frequency of \angularfrequency{4.70\timestento{15}} %</example> %\fi % -% Two quick thoughts here. First, work and energy are similar to momentum and impulse -% in that they come from two different concepts. Work comes from force acting through -% a spatial displacement and energy is a fundamental property of matter. It is a -% coincidence that they have the same dimensions and thus the same unit. Second, notice -% that I didn't define speed. Velocity is the only quantity I can think of for which we -% have different names for the vector and the magnitude of the vector. I decided to put -% it on the same footing as momentum, acceleration, and force. +% Two quick thoughts here. First, work and energy are similar to momentum and +% impulse in that they come from two different concepts. Work comes from force +% acting through a spatial displacement and energy is a fundamental property of +% matter. It is a coincidence that they have the same dimensions and thus the same +% unit. Second, notice that I didn't define speed. Velocity is the only quantity +% I can think of for which we have different names for the vector and the magnitude +% of the vector. I decided to put it on the same footing as momentum, acceleration, +% and force. % % \subsection{Second Semester Physics} -% The second semester of \mi\ focuses on electromagnetic theory, and there are many -% primary and secondary quantities. +% The second semester of \mi\ focuses on electromagnetic theory, and there are +% many primary and secondary quantities. % % \subsubsection{Predefined Quantities} % @@ -2136,10 +2162,11 @@ a magnetic charge of \magneticcharge{1.25} %\fi % % \subsection{Further Words on Units} -% The form of a quantity's unit can be changed on the fly regardless of the global -% format determined by \opt{baseunits} and \opt{drvdunits}. One way, as illustrated -% in the table above, is to append |baseunit|, |drvdunit|, |tradunit| to the -% quantity's name, and this will override the global options for that instance. +% The form of a quantity's unit can be changed on the fly regardless of the +% global format determined by \opt{baseunits} and \opt{drvdunits}. One way, +% as illustrated in the table above, is to append |baseunit|, |drvdunit|, +% |tradunit| to the quantity's name, and this will override the global options +% for that instance. % % A second way is to use the commands that change a quantity's unit on the fly. % @@ -2182,8 +2209,8 @@ a momentum of \hereusetradunit{\momentum{3}} %</example> %\fi % -% A third way is to use the environments that change a quantity's unit for the -% duration of the environment. +% A third way is to use the environments that change a quantity's unit +% for the duration of the environment. % %\iffalse %<*example> @@ -2266,8 +2293,8 @@ Command for perpetually using traditional units.. %\fi % %\newpage -%\changes{v2.4.0}{2014/12/16}{Added table of all predefined quantities with their -% units.} +%\changes{v2.4.0}{2014/12/16}{Added table of all predefined quantities with +% their units.} %\newgeometry{textwidth=8.5in} %\begin{center} % Here are all the predefined quantities and their units. @@ -2306,8 +2333,9 @@ Command for perpetually using traditional units.. %\chkquantity{specificheatcapacity} %\chkquantity{angularvelocity} %\chkquantity{angularacceleration} -%\chkquantity{angularmomentum} %\chkquantity{momentofinertia} +%\chkquantity{angularmomentum} +%\chkquantity{angularimpulse} %\chkquantity{torque} %\chkquantity{entropy} %\chkquantity{wavelength} @@ -2418,18 +2446,108 @@ Symbol for direction of a vector quantity. Use \cs{direction} as an alias. %</example> %\fi % +%\changes{v2.5.0}{2015/11/29}{Added \cs{componentalong}.} +%\iffalse +%<*example> +%\fi +\begin{docCommand}{componentalong}{\marg{alongvector}\marg{ofvector}} +Symbol for the component along a vector of another vector. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\componentalong{\vect{v}}{\vect{u}} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\changes{v2.5.0}{2015/11/29}{Added \cs{expcomponentalong}.} +%\iffalse +%<*example> +%\fi +\begin{docCommand}{expcomponentalong}{\marg{alongvector}\marg{ofvector}} +Symbolic expression for the component along a vector of another vector. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\expcomponentalong{\vect{v}}{\vect{u}} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\changes{v2.5.0}{2015/11/29}{Added \cs{ucomponentalong}.} +%\iffalse +%<*example> +%\fi +\begin{docCommand}{ucomponentalong}{\marg{alongvector}\marg{ofvector}} +Symbolic expression with unit vectors for the component along a vector of +another vector. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\ucomponentalong{\dirvect{v}}{\vect{u}} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\changes{v2.5.0}{2015/11/29}{Added \cs{projectiononto}.} +%\iffalse +%<*example> +%\fi +\begin{docCommand}{projectiononto}{\marg{ontovector}\marg{ofvector}} +Symbol for the projection onto a vector of another vector. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\projectiononto{\vect{v}}{\vect{u}} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\changes{v2.5.0}{2015/11/29}{Added \cs{expprojectiononto}.} +%\iffalse +%<*example> +%\fi +\begin{docCommand}{expprojectiononto}{\marg{alongvector}\marg{ofvector}} +Symbolic expression for the projection onto a vector of another vector. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\expprojectiononto{\vect{v}}{\vect{u}} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\changes{v2.5.0}{2015/11/29}{Added \cs{uprojectiononto}.} +%\iffalse +%<*example> +%\fi +\begin{docCommand}{uprojectiononto}{\marg{alongvector}\marg{ofvector}} +Symbolic expression with unit vectors for the projection onto a vector of +another vector. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\uprojectiononto{\dirvect{v}}{\vect{u}} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% %\iffalse %<*example> %\fi \begin{docCommand}{mivector} {\oarg{printeddelimiter}\marg{commadelimitedlistofcomps}\oarg{unit}} -Generic workhorse command for vectors formatted as in \mi. +Generic workhorse command for vectors formatted as in \mi. Unless the first +optional argument is specified, a comma is used in the output. Commas are +always required in the mandatory argument. \end{docCommand} \begin{dispExample*}{sidebyside} \begin{align*} \msub{u}{\mu} &= \mivector{\ezero,\eone,\etwo,\ethree} \\ +\msub{u}{\mu} &= \mivector[\quad]{\ezero,\eone,\etwo,\ethree} \\ \vect{v} &= \mivector{1,3,5}[\velocityonlytradunit] \\ -\vect{E} &= \mivector{\oofpezmathsymbol \frac{Q}{x^2},0,0} +\vect{E} &= \mivector{\oofpezmathsymbol \frac{Q}{x^2},0,0} \\ +\vect{E} &= \mivector[\quad]{\oofpezmathsymbol \frac{Q}{x^2},0,0} \end{align*} \end{dispExample*} %\iffalse @@ -2450,15 +2568,17 @@ instead. %</example> %\fi % +%\changes{v2.5.0}{2015/11/29}{Fixed parentheses bug in \cs{magvectncomps}.} %\iffalse %<*example> %\fi \begin{docCommand}{magvectncomps}{\marg{listofcomps}\oarg{unit}} -Expression for a vector's magnitude with numerical components and an optional unit. The -first example is the preferred and recommended way to handle units when they are needed. -The second example requires explicitly picking out the desired unit form. The third -example demonstrates components of a unit vector. It is probably best for students to -include components' units inside the radical than to write them outside the radical. +Expression for a vector's magnitude with numerical components and an optional +unit. The first example is the preferred and recommended way to handle units when +they are needed. The second example requires explicitly picking out the desired +unit form. The third example demonstrates components of a unit vector. It is +probably best for students to include components' units inside the radical than +to write them outside the radical. \end{docCommand} \begin{dispExample} \magvectncomps{\velocity{3.12},\velocity{4.04},\velocity{6.73}} \\ @@ -2495,6 +2615,34 @@ Isolates one of a vector's symbolic components. %</example> %\fi % +%\changes{v2.5.0}{2015/10/20}{Added \cs{scompsdirvect}.} +%\iffalse +%<*example> +%\fi +\begin{docCommand}{scompsdirvect}{\marg{kernel}} +Expression for a direction's symbolic components. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\scompsdirvect{r} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\changes{v2.5.0}{2015/10/20}{Added \cs{compdirvect}.} +%\iffalse +%<*example> +%\fi +\begin{docCommand}{compdirvect}{\marg{kernel}\marg{component}} +Isolates one of a direction's symbolic components. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\compdirvect{r}{z} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% %\iffalse %<*example> %\fi @@ -2566,7 +2714,8 @@ the direction \dirDvect{E} of the change %<*example> %\fi \begin{docCommand}{ddirvect}{\marg{kernel}} -Symbol for the differential of a vector's direction. Use \cs{ddirection} as an alias. +Symbol for the differential of a vector's direction. Use \cs{ddirection} as +an alias. \end{docCommand} \begin{dispExample*}{sidebyside} the change \ddirvect{E} or \ddirection{E} in the direction of \vect{E} @@ -2579,7 +2728,8 @@ the change \ddirvect{E} or \ddirection{E} in the direction of \vect{E} %<*example> %\fi \begin{docCommand}{Ddirvect}{\marg{kernel}} -Identical to \cs{ddirvect} but uses \(\Delta\). Use \cs{Ddirection} as an alias. +Identical to \cs{ddirvect} but uses \(\Delta\). Use \cs{Ddirection} as +an alias. \end{docCommand} \begin{dispExample*}{sidebyside} the direction \Ddirvect{E} or \Ddirection{E} of the change @@ -2722,8 +2872,8 @@ the derivative \Dervect{E}{t} %<*example> %\fi \begin{docCommand}{dermagvect}{\marg{kernel}\marg{indvar}} -Symbol for the derivative of a vector's magnitude with respect to an independent -variable. +Symbol for the derivative of a vector's magnitude with respect to an +independent variable. \end{docCommand} \begin{dispExample*}{sidebyside} the derivative \dermagvect{E}{t} @@ -2749,8 +2899,8 @@ the derivative \Dermagvect{E}{t} %<*example> %\fi \begin{docCommand}{derdirvect}{\marg{kernel}\marg{indvar}} -Symbol for the derivative of a vector's direction with respect to an independent -variable. Use \cs{derdiraction} as an alias. +Symbol for the derivative of a vector's direction with respect to an +independent variable. Use \cs{derdiraction} as an alias. \end{docCommand} \begin{dispExample*}{sidebyside} the derivative \derdirvect{E}{t} or \derdirection{E}{t} @@ -2763,7 +2913,8 @@ the derivative \derdirvect{E}{t} or \derdirection{E}{t} %<*example> %\fi \begin{docCommand}{Derdirvect}{\marg{kernel}\marg{indvar}} -Identical to \cs{derdirvect} but uses \(\Delta\). Use \cs{Derdirection} as an alias. +Identical to \cs{derdirvect} but uses \(\Delta\). Use \cs{Derdirection} as +an alias. \end{docCommand} \begin{dispExample*}{sidebyside} the derivative \Derdirvect{E}{t} or \Derdirection{E}{t} @@ -2776,7 +2927,8 @@ the derivative \Derdirvect{E}{t} or \Derdirection{E}{t} %<*example> %\fi \begin{docCommand}{scompsdervect}{\marg{kernel}\marg{indvar}} -Symbolic components of a vector's derivative with respect to an independent variable. +Symbolic components of a vector's derivative with respect to an independent +variable. \end{docCommand} \begin{dispExample*}{sidebyside} the derivative \scompsdervect{E}{t} @@ -2802,7 +2954,8 @@ the derivative \scompsdervect{E}{t} %<*example> %\fi \begin{docCommand}{compdervect}{\marg{kernel}\marg{component}\marg{indvar}} -Isolates one component of a vector's derivative with respect to an independent variable. +Isolates one component of a vector's derivative with respect to an +independent variable. \end{docCommand} \begin{dispExample*}{sidebyside} the derivative \compdervect{E}{y}{t} @@ -2828,8 +2981,8 @@ the derivative \compDervect{E}{y}{t} %<*example> %\fi \begin{docCommand}{magdervect}{\marg{kernel}\marg{indvar}} -Symbol for the magnitude of a vector's derivative with respect to an independent -variable. +Symbol for the magnitude of a vector's derivative with respect to an +independent variable. \end{docCommand} \begin{dispExample*}{sidebyside} the derivative \magdervect{E}{t} @@ -2852,25 +3005,28 @@ the derivative \magDervect{E}{t} %\fi % % \subsubsection{Naming Conventions You Have Seen} -% By now you probably understand that commands are named as closely as possible -% to the way you would say or write what you want. Every time you see |comp| -% you should think of a single component. Every time you see |scomps| you should -% think of a set of symbolic components. Every time you see |der| you should -% think derivative. Every time you see |dir| you should think direction. I have -% tried to make the names simple both logically and lexically. +% By now you probably understand that commands are named as closely as +% possible to the way you would say or write what you want. Every time you +% see |comp| you should think of a single component. Every time you see +% |scomps| you should think of a set of symbolic components. Every time you +% see |der| you should think derivative. Every time you see |dir| you should +% think direction. I have tried to make the names simple both logically and +% lexically. % % \subsubsection{Subscripted or Indexed Vectors} -% Now we have commands for vectors that carry subscripts or indices, usually to -% identify an object or something similar. Basically, |vect| becomes |vectsub|. -% Ideally, a subscript should not contain mathematical symbols. However, if you wish -% to do so, just wrap the symbol with |\(|\(\ldots \)|\)| as you normally would. All -% of the commands for non-subscripted vectors are available for subscripted vectors. +% Now we have commands for vectors that carry subscripts or indices, usually +% to identify an object or something similar. Basically, |vect| becomes +% |vectsub|. Ideally, a subscript should not contain mathematical symbols. +% However, if you wish to do so, just wrap the symbol with |\(|\(\ldots \)|\)| +% as you normally would. All of the commands for non-subscripted vectors are +% available for subscripted vectors. % -% As a matter of convention, when the initial and final values of a quantity are -% referenced, they should be labeled with subscripts |i| and |f| respectively using -% the commands in this section and similarly named commands in other sections. If -% the quantity also refers to a particular entity (e.g.\ a ball), specify the |i| -% or |f| with a comma after the label (e.g.\ |\vectsub{r}{ball,f}|). +% As a matter of convention, when the initial and final values of a quantity +% are referenced, they should be labeled with subscripts |i| and |f| respectively +% using the commands in this section and similarly named commands in other +% sections. If the quantity also refers to a particular entity (e.g.\ a ball), +% specify the |i| or |f| with a comma after the label +% (e.g.\ |\vectsub{r}{ball,f}|). % %\iffalse %<*example> @@ -2967,7 +3123,8 @@ the component \compvectsub{p}{ball}{z} %<*example> %\fi \begin{docCommand}{magvectsubscomps}{\marg{kernel}\marg{sub}} -Expression for a subscripted vector's magnitude in terms of symbolic components. +Expression for a subscripted vector's magnitude in terms of symbolic +components. \end{docCommand} \begin{dispExample*}{sidebyside} the magnitude \magvectsubscomps{p}{ball} @@ -3058,7 +3215,8 @@ the component \compDvectsub{p}{ball}{y} %<*example> %\fi \begin{docCommand}{dervectsub}{\marg{kernel}\marg{sub}\marg{indvar}} -Symbol for derivative of a subscripted vector with respect to an independent variable. +Symbol for derivative of a subscripted vector with respect to an +independent variable. \end{docCommand} \begin{dispExample*}{sidebyside} the derivative \dervectsub{p}{ball}{t} @@ -3084,8 +3242,8 @@ the derivative \Dervectsub{p}{ball}{t} %<*example> %\fi \begin{docCommand}{dermagvectsub}{\marg{kernel}\marg{sub}\marg{indvar}} -Symbol for the derivative of a subscripted vector's magnitude with respect to -an independent variable. +Symbol for the derivative of a subscripted vector's magnitude with respect +to an independent variable. \end{docCommand} \begin{dispExample*}{sidebyside} the derivative \dermagvectsub{E}{ball}{t} @@ -3137,9 +3295,10 @@ the vector \scompsDervectsub{p}{ball}{t} %\iffalse %<*example> %\fi -\begin{docCommand}{compdervectsub}{\marg{kernel}\marg{sub}\marg{component}\marg{indvar}} -Isolates one component of a subscripted vector's derivative with respect to -an independent variable. +\begin{docCommand}{compdervectsub}{\marg{kernel}\marg{sub}\marg{component} +\marg{indvar}} +Isolates one component of a subscripted vector's derivative with respect +to an independent variable. \end{docCommand} \begin{dispExample*}{sidebyside} the component \compdervectsub{p}{ball}{y}{t} @@ -3151,7 +3310,8 @@ the component \compdervectsub{p}{ball}{y}{t} %\iffalse %<*example> %\fi -\begin{docCommand}{compDervectsub}{\marg{kernel}\marg{sub}\marg{component}\marg{indvar}} +\begin{docCommand}{compDervectsub}{\marg{kernel}\marg{sub}\marg{component} +\marg{indvar}} Identical to \cs{compdervectsub} but uses \(\Delta\). \end{docCommand} \begin{dispExample*}{sidebyside} @@ -3165,8 +3325,8 @@ the component \compDervectsub{p}{ball}{y}{t} %<*example> %\fi \begin{docCommand}{magdervectsub}{\marg{kernel}\marg{sub}\marg{indvar}} -Symbol for magnitude of a subscripted vector's derivative with respect to -an independent variable. +Symbol for magnitude of a subscripted vector's derivative with respect +to an independent variable. \end{docCommand} \begin{dispExample*}{sidebyside} the derivative \magdervectsub{p}{ball}{t} @@ -3189,13 +3349,13 @@ the derivative \magDervectsub{p}{ball}{t} %\fi % % \subsubsection{Expressions Containing Dots} -% Now we get to commands that will save you many, many keystrokes. All of the -% naming conventions documented in earlier commands still apply. There are some -% new ones though. Every time you see |dot| you should think \textit{dot product}. -% When you see |dots| you should think \textit{dot product in terms of symbolic -% components}. When you see |dote| you should think \textit{dot product -% expanded as a sum}. These, along with the previous naming conventions, handle -% many dot product expressions. +% Now we get to commands that will save you many, many keystrokes. All of +% the naming conventions documented in earlier commands still apply. There +% are some new ones though. Every time you see |dot| you should think +% \textit{dot product}. When you see |dots| you should think \textit{dot +% product in terms of symbolic components}. When you see |dote| you should +% think \textit{dot product expanded as a sum}. These, along with the previous +% naming conventions, handle many dot product expressions. % %\iffalse %<*example> @@ -3378,7 +3538,8 @@ Identical to \cs{vectsubdotedvectsub} but uses \(\Delta\). %<*example> %\fi \begin{docCommand}{vectsubdotsdvect}{\marg{kernel1}\marg{sub1}\marg{kernel2}} -Dot of a subscripted vector and a vector's differential with symbolic components. +Dot of a subscripted vector and a vector's differential with symbolic +components. \end{docCommand} \begin{dispExample*}{sidebyside} \vectsubdotsdvect{A}{ball}{B} @@ -3534,7 +3695,8 @@ Identical to \cs{vectdotedervect} but uses \(\Delta\). %<*example> %\fi \begin{docCommand}{dervectdotsdvect}{\marg{kernel1}\marg{indvar}\marg{kernel2}} -Dot of a vector's derivative and a vector's differential with symbolic components. +Dot of a vector's derivative and a vector's differential with symbolic +components. \end{docCommand} \begin{dispExample*}{sidebyside} \dervectdotsdvect{A}{t}{B} @@ -3652,8 +3814,8 @@ Symbol for right associated triple scalar product. %\fi % % \subsubsection{Basis Vectors and Bivectors} -% If you use geometric algebra or tensors, eventually you will need symbols for -% basis vectors and basis bivectors. +% If you use geometric algebra or tensors, eventually you will need +% symbols for basis vectors and basis bivectors. % %\iffalse %<*example> @@ -3707,6 +3869,20 @@ Symbols for basis vectors with upper indices up to 4. %</example> %\fi % +%\changes{v2.5.0}{2015/10/09}{Added \cs{ueuzero} and friends.} +%\iffalse +%<*example> +%\fi +\begin{docCommand}{ueuzero}{} +Symbols for normalized basis vectors with upper indices up to 4. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\ueuzero, \ueuone, \ueutwo, \ueuthree, \ueufour +\end{dispExample*} +%\iffalse +%</example> +%\fi +% %\iffalse %<*example> %\fi @@ -3724,7 +3900,8 @@ Symbols for basis bivectors with upper indices up to 4. %<*example> %\fi \begin{docCommand}{gzero}{} -Symbols for basis vectors, with \(\gamma\) as the kernel, with lower indices up to 4. +Symbols for basis vectors, with \(\gamma\) as the kernel, with lower indices +up to 4. \end{docCommand} \begin{dispExample*}{sidebyside} \gzero, \gone, \gtwo, \gthree, \gfour @@ -3737,7 +3914,8 @@ Symbols for basis vectors, with \(\gamma\) as the kernel, with lower indices up %<*example> %\fi \begin{docCommand}{guzero}{} -Symbols for basis vectors, with \(\gamma\) as the kernel, with upper indices up to 4. +Symbols for basis vectors, with \(\gamma\) as the kernel, with upper indices +up to 4. \end{docCommand} \begin{dispExample*}{sidebyside} \guzero, \guone, \gutwo, \guthree, \gufour @@ -3750,7 +3928,8 @@ Symbols for basis vectors, with \(\gamma\) as the kernel, with upper indices up %<*example> %\fi \begin{docCommand}{gzerozero}{} -Symbols for basis bivectors, with \(\gamma\) as the kernel, with lower indices up to 4. +Symbols for basis bivectors, with \(\gamma\) as the kernel, with lower indices +up to 4. \end{docCommand} \begin{dispExample*}{sidebyside} \gzerozero, \gzeroone, \gzerotwo, \gzerothree, \gzerofour, up to \gfourfour @@ -3763,7 +3942,8 @@ Symbols for basis bivectors, with \(\gamma\) as the kernel, with lower indices u %<*example> %\fi \begin{docCommand}{guzerozero}{} -Symbols for basis bivectors, with \(\gamma\) as the kernel, with upper indices up to 4. +Symbols for basis bivectors, with \(\gamma\) as the kernel, with upper indices +up to 4. \end{docCommand} \begin{dispExample*}{sidebyside} \guzerozero, \guzeroone, \guzerotwo, \guzerothree, \guzerofour, up to \gufourfour @@ -3772,6 +3952,8 @@ Symbols for basis bivectors, with \(\gamma\) as the kernel, with upper indices u %</example> %\fi % +% \subsubsection{Other Vector Related} +% %\iffalse %<*example> %\fi @@ -3779,7 +3961,7 @@ Symbols for basis bivectors, with \(\gamma\) as the kernel, with upper indices u Typesets column vectors. \end{docCommand} \begin{dispExample*}{sidebyside} -\colvector{x^0,x^1,x^2,x^3} +\colvector{x^0,x^1,x^2,x^3} \colvector{x_0,x_1,x_2,x_3} \end{dispExample*} %\iffalse %</example> @@ -3792,7 +3974,7 @@ Typesets column vectors. Typesets row vectors. \end{docCommand} \begin{dispExample*}{sidebyside} -\rowvector{x^0,x^1,x^2,x^3} +\rowvector{x^0,x^1,x^2,x^3} \rowvector{x_0,x_1,x_2,x_3} \end{dispExample*} %\iffalse %</example> @@ -3802,8 +3984,8 @@ Typesets row vectors. %<*example> %\fi \begin{docCommand}{scompscvect}{\oarg{anynonzero}\marg{kernel}} -\ntodo[Suggestion]{Allow for superscripts.}Typesets symbolic components of column 3- or -4-vectors (use any nonzero value for the optional argument to typeset a 4-vector). +Typesets subscripted symbolic components of column 3- or 4-vectors +(use any nonzero value for the optional argument to typeset a 4-vector). \end{docCommand} \begin{dispExample*}{sidebyside} \begin{align*} @@ -3815,12 +3997,31 @@ Typesets row vectors. %</example> %\fi % +%\changes{v2.4.1}{2015/02/20}{Added \cs{scompsCvect} for superscripted +% components.} +%\iffalse +%<*example> +%\fi +\begin{docCommand}{scompsCvect}{\oarg{anynonzero}\marg{kernel}} +Typesets superscripted symbolic components of column 3- or 4-vectors +(use any nonzero value for the optional argument to typeset a 4-vector). +\end{docCommand} +\begin{dispExample*}{sidebyside} +\begin{align*} +\vect{p} &= \scompsCvect{p} \\ +\vect{p} &= \scompsCvect[4]{p} +\end{align*} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% %\iffalse %<*example> %\fi \begin{docCommand}{scompsrvect}{\oarg{anynonzero}\marg{kernel}} -\ntodo[Suggestion]{Allow for superscripts.}Typesets symbolic components of row 3- or -4-vectors (use any nonzero value for the optional argument to typeset a 4-vector). +Typesets subscripted symbolic components of row 3- or 4-vectors +(use any nonzero value for the optional argument to typeset a 4-vector). \end{docCommand} \begin{dispExample*}{sidebyside} \begin{align*} @@ -3832,6 +4033,68 @@ Typesets row vectors. %</example> %\fi % +%\changes{v2.4.1}{2015/02/20}{Added \cs{scompsRvect} for superscripted +% components.} +%\iffalse +%<*example> +%\fi +\begin{docCommand}{scompsRvect}{\oarg{anynonzero}\marg{kernel}} +Typesets superscripted symbolic components of row 3- or 4-vectors +(use any nonzero value for the optional argument to typeset a 4-vector). +\end{docCommand} +\begin{dispExample*}{sidebyside} +\begin{align*} +\vect{p} &= \scompsRvect{p} \\ +\vect{p} &= \scompsRvect[4]{p} +\end{align*} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\changes{v2.5.0}{2015/10/09}{Added commands for Dirac notation.} +%\iffalse +%<*example> +%\fi +\begin{docCommand}{bra}{\marg{bra}} +Typesets a Dirac bra. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\bra{\Psi^*} or \bra{\frac{1}{a}\Psi^*} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{ket}{\marg{ket}} +Typesets a Dirac ket. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\ket{\Psi} or \ket{\frac{1}{b}\Psi^*} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{bracket}{\marg{bra}\marg{ket}} +Typesets a Dirac bracket. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\bracket{\Psi^*}{\Psi} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +% \newpage +%\changes{v2.5.0}{2015/10/09}{Documented precise and approximate +% constant values.} % \subsection{Physical Constants} % \subsubsection{Defining Physical Constants} % @@ -3839,18 +4102,28 @@ Typesets row vectors. %<*example> %\fi \begin{docCommand}{newphysicsconstant} - {\marg{newname}\marg{symbol}\marg{value}\marg{\baseunits}\oarg{\drvdunits} - \oarg{\tradunits}} -Defines a new physical constant. +{\marg{newname}\\ +\marg{symbol}\\ +{\{\cs{mi@p\marg{approx}\marg{precise}}\}}\\ +\marg{\baseunits}\\ +\oarg{\drvdunits}\\ +\oarg{\tradunits}% +}% + +Defines a new physical constant with a name, a symbol, approximate and +precise numerical values, required base units, optional derived units, +and optional traditional units. The \cs{mi@p} command is defined +internally and is not meant to be otherwise used. \end{docCommand} \begin{dispListing} -Here is how \oofpez (the Coulomb constant) is defined internally. -\newphysicsconstant{oofpez} -{\ensuremath{\frac{1}{\phantom{_o}4\pi\ssub{\epsilon}{o}}}} -{9\timestento{9}} -{\ensuremath{\m\cubed\usk\kg\usk\s^{-4}\usk\A\rpsquared}} -[\m\per\farad] -[\newton\usk\m\squared\per\coulomb\squared] +Here is how \planck (Planck's constant) is defined internally, showing +each part of the definition on a separate line. +\newphysicsconstant{planck} + {\ensuremath{h}} + {\mi@p{6.6}{6.6261}\timestento{-34}} + {\m\squared\usk\kg\usk\reciprocal\s} + [\J\usk\s] + [\J\usk\s] \end{dispListing} %\iffalse %</example> @@ -3858,12 +4131,16 @@ Here is how \oofpez (the Coulomb constant) is defined internally. % % Using this command causes several things to happen. % \begin{itemize} -% \item A command |\newname| is created and contains the constant and units -% typeset according to the options given when \mandi\ was loaded. +% \item A command |\newname| is created and contains the constant and +% units typeset according to the options given when \mandi\ was loaded. % \item A command |\newnamemathsymbol| is created that expresses % \textbf{only} the constant's mathematical symbol. % \item A command |\newnamevalue| is created that expresses -% \textbf{only} the constant's numerical value. +% \textbf{only} the constant's approximate or precise numerical value. +% Note that both values must be present when the constant is defined. +% By default, precise values are always used but this can be changed +% when \mandi\ is loaded. Note how the values are specified in the +% definition of the constant. % \item A command |\newnamebaseunit| is created that expresses % the constant and its units in \baseunits\ form. % \item A command |\newnamedrvdunit| is created that expresses @@ -3879,8 +4156,12 @@ Here is how \oofpez (the Coulomb constant) is defined internally. % \end{itemize} % None of these commands takes any arguments. % +% \newpage % \subsubsection{Predefined Physical Constants} % +% In this section, precise values of constants are used. Approximate +% values are available as an option when the package is loaded. +% %\iffalse %<*example> %\fi @@ -4485,7 +4766,8 @@ Symbol for stellar luminosity. %<*example> %\fi \begin{docCommand}{Lsolar}{} -Symbol for solar luminosity as a unit. Really just an alias for |\Lstar[\(\odot\)]|. +Symbol for solar luminosity as a unit. Really just an alias for +|\Lstar[\(\odot\)]|. \end{docCommand} \begin{dispExample*}{sidebyside} \Lsolar @@ -4511,7 +4793,8 @@ Symbol for stellar temperature. %<*example> %\fi \begin{docCommand}{Tsolar}{} -Symbol for solar temperature as a unit. Really just an alias for |\Tstar[\(\odot\)]|. +Symbol for solar temperature as a unit. Really just an alias for +|\Tstar[\(\odot\)]|. \end{docCommand} \begin{dispExample*}{sidebyside} \Tsolar @@ -4537,7 +4820,8 @@ Symbol for stellar radius. %<*example> %\fi \begin{docCommand}{Rsolar}{} -Symbol for solar radius as a unit. Really just an alias for |\Rstar[\(\odot\)]|. +Symbol for solar radius as a unit. Really just an alias for +|\Rstar[\(\odot\)]|. \end{docCommand} \begin{dispExample*}{sidebyside} \Rsolar @@ -4563,7 +4847,8 @@ Symbol for stellar mass. %<*example> %\fi \begin{docCommand}{Msolar}{} -Symbol for solar mass as a unit. Really just an alias for |\Mstar[\(\odot\)]|. +Symbol for solar mass as a unit. Really just an alias for +|\Mstar[\(\odot\)]|. \end{docCommand} \begin{dispExample*}{sidebyside} \Msolar @@ -4589,7 +4874,8 @@ Symbol for stellar flux. %<*example> %\fi \begin{docCommand}{Fsolar}{} -Symbol for solar flux as a unit. Really just an alias for |\Fstar[\(\odot\)]|. +Symbol for solar flux as a unit. Really just an alias for +|\Fstar[\(\odot\)]|. \end{docCommand} \begin{dispExample*}{sidebyside} \Fsolar @@ -4689,7 +4975,8 @@ Symbol for stellar distance. %<*example> %\fi \begin{docCommand}{Dsolar}{} -Symbol for solar distance as a unit. Really just an alias for |\Dstar[\(\odot\)]|. +Symbol for solar distance as a unit. Really just an alias for +|\Dstar[\(\odot\)]|. \end{docCommand} \begin{dispExample*}{sidebyside} \Dsolar @@ -4719,8 +5006,8 @@ Alias for \cs{Dsolar} that uses a lower case d. %\fi % %\newpage -%\changes{v2.4.0}{2014/12/16}{Added table of all predefined constants with their -% symbols and units.} +%\changes{v2.4.0}{2014/12/16}{Added table of all predefined constants +% with their symbols and units.} %\newgeometry{textwidth=8.5in} %\begin{center} % Here are all the predefined constants and their units. @@ -4845,8 +5132,8 @@ Properly typesets summation over all of some user specified entities. %<*example> %\fi \begin{docCommand}{dx}{\marg{variable}} -Properly typesets variables of integration (the d should not be in italics and should -be properly spaced relative to the integrand). +Properly typesets variables of integration (the d should not be in +italics and should be properly spaced relative to the integrand). \end{docCommand} \begin{dispExample*}{sidebyside} \( \dx{y} \) @@ -4886,8 +5173,8 @@ Properly typesets quantities evaluated at a particular point or value. %<*example> %\fi \begin{docCommand}{evaluatedat}{\marg{evaluationpoint}} -Properly indicates evaluation at a particular point or value without specifying the -quantity. +Properly indicates evaluation at a particular point or value without +specifying the quantity. \end{docCommand} \begin{dispExample*}{sidebyside} \( \text{LMST}\evaluatedat{\longitude{0}} \) @@ -4985,7 +5272,8 @@ Integral over a volume. %<*example> %\fi \begin{docCommand}{dbydt}{\oarg{operand}} -First time derivative operator. Use \cs{DbyDt} to get \(\Delta\) instead of d. +First time derivative operator. Use \cs{DbyDt} to get \(\Delta\) +instead of d. \end{docCommand} \begin{dispExample*}{sidebyside} \( \dbydt \) or \( \dbydt x \) or \dbydt[x] @@ -4998,7 +5286,8 @@ First time derivative operator. Use \cs{DbyDt} to get \(\Delta\) instead of d. %<*example> %\fi \begin{docCommand}{ddbydt}{\oarg{operand}} -Second time derivative operator. Use \cs{DDbyDt} to get \(\Delta\) instead of d. +Second time derivative operator. Use \cs{DDbyDt} to get \(\Delta\) +instead of d. \end{docCommand} \begin{dispExample*}{sidebyside} \( \ddbydt \) or \( \ddbydt x \) or \ddbydt[x] @@ -5037,7 +5326,8 @@ Second partial time derivative operator. %<*example> %\fi \begin{docCommand}{dbyd}{\marg{dependentvariable}\marg{indvar}} -Generic first derivative operator. Use \cs{DbyD} to get \(\Delta\) instead of d. +Generic first derivative operator. Use \cs{DbyD} to get \(\Delta\) +instead of d. \end{docCommand} \begin{dispExample*}{sidebyside} \( \dbyd{f}{y} \) @@ -5050,7 +5340,8 @@ Generic first derivative operator. Use \cs{DbyD} to get \(\Delta\) instead of d. %<*example> %\fi \begin{docCommand}{ddbyd}{\marg{dependentvariable}\marg{indvar}} -Generic second derivative operator. Use \cs{DDbyD} to get \(\Delta\) instead of d. +Generic second derivative operator. Use \cs{DDbyD} to get \(\Delta\) +instead of d. \end{docCommand} \begin{dispExample*}{sidebyside} \( \ddbyd{f}{y} \) @@ -5089,7 +5380,7 @@ Generic second partial derivative operator. %<*example> %\fi \begin{docCommand}{gradient}{} -Gradient operator. +Gibbs' gradient operator. It's just an alias for \cs{nabla}. \end{docCommand} \begin{dispExample*}{sidebyside} \gradient @@ -5102,7 +5393,7 @@ Gradient operator. %<*example> %\fi \begin{docCommand}{divergence}{} -Divergente operator. +Gibbs' divergence operator. \end{docCommand} \begin{dispExample*}{sidebyside} \divergence @@ -5115,7 +5406,7 @@ Divergente operator. %<*example> %\fi \begin{docCommand}{curl}{} -Curl operator. +Gibbs' curl operator. \end{docCommand} \begin{dispExample*}{sidebyside} \curl @@ -5124,6 +5415,66 @@ Curl operator. %</example> %\fi % +%\changes{v2.5.0}{2015/10/16}{Added \cs{taigrad} to get Tai's gradient +% symbol.} +%\iffalse +%<*example> +%\fi +\begin{docCommand}{taigrad}{} +Tai's gradient operator. It's just an alias for \cs{nabla}. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\taigrad +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\changes{v2.5.0}{2015/10/16}{Added \cs{taisvec} to get Tai's symbolic +% vector.} +%\iffalse +%<*example> +%\fi +\begin{docCommand}{taisvec}{} +Tai's symbol for symbolic vector. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\taisvec +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\changes{v2.5.0}{2015/10/16}{Added \cs{taigrad} to get Tai's divergence +% symbol.} +%\iffalse +%<*example> +%\fi +\begin{docCommand}{taidivg}{} +Tai's symbol for divergence operator. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\taidivg +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\changes{v2.5.0}{2015/10/16}{Added \cs{taigrad} to get Tai's curl +% symbol.} +%\iffalse +%<*example> +%\fi +\begin{docCommand}{taicurl}{} +Tai's symbol for curl operator. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\taicurl +\end{dispExample*} +%\iffalse +%</example> +%\fi +% %\iffalse %<*example> %\fi @@ -5280,6 +5631,7 @@ Order of indicator. %</example> %\fi % +% \newpage % \subsection{Other Useful Commands} % %\iffalse @@ -5377,7 +5729,7 @@ Bob Palais' symbol for \(2\pi\). %<*example> %\fi \begin{docCommand}{scripty}{\marg{kernel}} -Command to get fonts in Griffith's electrodynamics textbook. +Command to get fonts in Griffiths' electrodynamics textbook. \end{docCommand} \begin{dispExample*}{sidebyside} \scripty{r} @@ -5386,6 +5738,21 @@ Command to get fonts in Griffith's electrodynamics textbook. %</example> %\fi % +%\changes{v2.5.0}{2015/10/08}{Added \cs{Lagr} to get symbol for +% Lagrangian.} +%\iffalse +%<*example> +%\fi +\begin{docCommand}{Lagr}{} +Command to get symbol for Lagrangian. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\Lagr +\end{dispExample*} +%\iffalse +%</example> +%\fi +% %\iffalse %<*example> %\fi @@ -5399,56 +5766,83 @@ Symbol for flux of a vector field. %</example> %\fi % +%\changes{v2.5.0}{2015/09/13}{Added \cs{inparens} for grouping with +% parentheses.} +%\iffalse +%<*example> +%\fi +\begin{docCommand}{inparens}{\marg{arg}} +Surrounds with argument with parentneses. A blank argument generates a +placeholder. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\inparens{\onehalf}, \inparens{-3}, \inparens{} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\changes{v2.5.0}{2015/09/13}{Renamed \cs{abs} to \cs{absof}.} +%\changes{v2.5.0}{2015/09/13}{\cs{absof} now shows a placeholder for a +% blank argument.} %\iffalse %<*example> %\fi -\begin{docCommand}{abs}{\marg{arg}} -Absolute value function. +\begin{docCommand}{absof}{\marg{arg}} +Absolute value function. A blank argument generates a placeholder. \end{docCommand} \begin{dispExample*}{sidebyside} -\abs{-4} +\absof{-4}, \absof{} \end{dispExample*} %\iffalse %</example> %\fi % +%\changes{v2.5.0}{2015/09/13}{\cs{magof} now shows a placeholder for a +% blank argument.} %\iffalse %<*example> %\fi \begin{docCommand}{magof}{\marg{arg}} -Magnitude of a quantity (lets you selectively use double bars even when the -\opt{singleabsbars} option is use when loading the package). +Magnitude of a quantity (lets you selectively use double bars even +when the \opt{singleabsbars} option is use when loading the package). +A blank argument generates a placeholder. \end{docCommand} \begin{dispExample*}{sidebyside} -\magof{\vect{E}} +\magof{\vect{E}}, \magof{} \end{dispExample*} %\iffalse %</example> %\fi % +%\changes{v2.5.0}{2015/09/13}{\cs{dimsof} now shows a placeholder for a +% blank argument.} %\iffalse %<*example> %\fi \begin{docCommand}{dimsof}{\marg{arg}} -Notation for showing the dimensions of a quantity. +Notation for showing the dimensions of a quantity. A blank argument +generates a placeholder. \end{docCommand} \begin{dispExample*}{sidebyside} -\( \dimsof{\vect{v}} = L \cdot T^{-1} \) +\( \dimsof{\vect{v}} = L \cdot T^{-1} \), \dimsof{} \end{dispExample*} %\iffalse %</example> %\fi % +%\changes{v2.5.0}{2015/09/13}{\cs{unitsof} now shows a placeholder for a +% blank argument.} %\iffalse %<*example> %\fi \begin{docCommand}{unitsof}{\marg{arg}} -Notation for showing the units of a quantity. I propose this notation and hope -to propagate it because I could not find any standard notation for this same -idea in other sources. +Notation for showing the units of a quantity. I propose this notation and +hope to propagate it because I could not find any standard notation for +this same idea in other sources. A blank argument generates a placeholder. \end{docCommand} \begin{dispExample*}{sidebyside} -\unitsof{\vect{v}} = \velocityonlytradunit +\unitsof{\vect{v}} = \velocityonlytradunit, \unitsof{} \end{dispExample*} %\iffalse %</example> @@ -5471,8 +5865,8 @@ Notation for \textit{the change in a quantity}. %<*example> %\fi \begin{docCommand}{scin}{\oarg{mantissa}\marg{exponent}\oarg{unit}} -Command for scientific notation with an optional unit. Deprecated. Use \cs{timestento} -or \cs{xtento} instead. +Command for scientific notation with an optional unit. Deprecated. +Use \cs{timestento} or \cs{xtento} instead. \end{docCommand} \begin{dispExample*}{sidebyside} 2.99\timestento{8}[\velocityonlytradunit] @@ -5485,7 +5879,8 @@ or \cs{xtento} instead. %<*example> %\fi \begin{docCommand}{xtento}{\marg{exponent}\oarg{unit}} -Command for scientific notation with an optional unit. Alias for \cs{timestento}. +Command for scientific notation with an optional unit. Alias for +\cs{timestento}. \end{docCommand} \begin{dispExample*}{sidebyside} 2.99\xtento{8}[\velocityonlytradunit] @@ -5498,7 +5893,8 @@ Command for scientific notation with an optional unit. Alias for \cs{timestento} %<*example> %\fi \begin{docCommand}{ee}{\marg{mantissa}\marg{exponent}} -Command for scientific notation for computer code. Use \cs{EE} for |EE|. +Command for scientific notation for computer code. +Use \cs{EE} for |EE|. \end{docCommand} \begin{dispExample*}{sidebyside} \ee{2.99}{8} @@ -5511,8 +5907,8 @@ Command for scientific notation for computer code. Use \cs{EE} for |EE|. %<*example> %\fi \begin{docCommand}{dms}{\marg{deg}\marg{min}\marg{sec}} -Command for formatting angles and time. Use \cs{hms} for time. Note that other -packages may do this better. +Command for formatting angles and time. Use \cs{hms} for time. +Note that other packages may do this better. \end{docCommand} \begin{dispExample*}{sidebyside} \dms{23}{34}{10.27} \\ @@ -5526,9 +5922,9 @@ packages may do this better. %<*example> %\fi \begin{docCommand}{clockreading}{\marg{hrs}\marg{min}\marg{sec}} -Command for formatting a clock reading. Really an alias for \cs{hms}, but conceptually -a very different idea that introductory textbooks don't do a good enough job at -articulating. +Command for formatting a clock reading. Really an alias for \cs{hms}, +but conceptually a very different idea that introductory textbooks don't +do a good enough job at articulating. \end{docCommand} \begin{dispExample*}{sidebyside} \clockreading{23}{34}{10.27} @@ -5541,8 +5937,8 @@ articulating. %<*example> %\fi \begin{docCommand}{latitude}{\marg{arg}} -Command for formatting latitude, useful in astronomy. Use \cs{latitudeN} or -\cs{latitudeS} to include a letter. +Command for formatting latitude, useful in astronomy. +Use \cs{latitudeN} or \cs{latitudeS} to include a letter. \end{docCommand} \begin{dispExample*}{sidebyside} \latitude{+35}, \latitudeN{35}, \latitudeS{35} @@ -5555,8 +5951,8 @@ Command for formatting latitude, useful in astronomy. Use \cs{latitudeN} or %<*example> %\fi \begin{docCommand}{longitude}{\marg{arg}} -Command for formatting longitude, useful in astronomy. Use \cs{longitudeE} or -\cs{longitudeW} to include a letter. +Command for formatting longitude, useful in astronomy. +Use \cs{longitudeE} or \cs{longitudeW} to include a letter. \end{docCommand} \begin{dispExample*}{sidebyside} \longitude{-81}, \longitudeE{81}, \longitudeW{81} @@ -5686,8 +6082,9 @@ Command for custom naming a coordinate axis. %<*example> %\fi \begin{docCommand}{axis}{} -Suffix command for custom naming a coordinate axis. You are responsible for -using math mode if necessary for the thing to which you apply the suffix. +Suffix command for custom naming a coordinate axis. You are responsible +for using math mode if necessary for the thing to which you apply the +suffix. \end{docCommand} \begin{dispExample*}{sidebyside} \(t\axis\) @@ -5713,8 +6110,8 @@ Commands for naming coordinate planes. All combinations are defined. %<*example> %\fi \begin{docCommand}{plane}{} -Suffix command for custom naming a coordinate plane. You are responsible for -using math mode if necessary for the thing to which you apply the suffix. +Suffix command for custom naming a coordinate plane. You are responsible +for using math mode if necessary for the thing to which you apply the suffix. \end{docCommand} \begin{dispExample*}{sidebyside} \(xt\)\plane @@ -5740,7 +6137,8 @@ Command for square root as a fractional exponent. %<*example> %\fi \begin{docCommand}{cuberoot}{\marg{arg}} -Command for cube root of an argument. Use \cs{fcuberoot} to get fractional exponent. +Command for cube root of an argument. Use \cs{fcuberoot} to get fractional +exponent. \end{docCommand} \begin{dispExample*}{sidebyside} \cuberoot{x}, \fcuberoot{x} @@ -5753,7 +6151,8 @@ Command for cube root of an argument. Use \cs{fcuberoot} to get fractional expon %<*example> %\fi \begin{docCommand}{fourthroot}{\marg{arg}} -Command for fourth root of an argument. Use \cs{ffourthroot} to get fractional exponent. +Command for fourth root of an argument. Use \cs{ffourthroot} to get fractional +exponent. \end{docCommand} \begin{dispExample*}{sidebyside} \fourthroot{x}, \ffourthroot{x} @@ -5766,7 +6165,8 @@ Command for fourth root of an argument. Use \cs{ffourthroot} to get fractional e %<*example> %\fi \begin{docCommand}{fifthroot}{\marg{arg}} -Command for fifth root of an argument. Use \cs{ffifthroot} to get fractional exponent. +Command for fifth root of an argument. Use \cs{ffifthroot} to get fractional +exponent. \end{docCommand} \begin{dispExample*}{sidebyside} \fifthroot{x}, \ffifthroot{x} @@ -5779,7 +6179,8 @@ Command for fifth root of an argument. Use \cs{ffifthroot} to get fractional exp %<*example> %\fi \begin{docCommand}{relgamma}{\marg{arg}} -Expression for Lorentz factor. Use \cs{frelgamma} to get fractional exponent. +Expression for Lorentz factor. Use \cs{frelgamma} to get fractional +exponent. \end{docCommand} \begin{dispExample*}{sidebyside} \begin{align*} @@ -5797,8 +6198,9 @@ Expression for Lorentz factor. Use \cs{frelgamma} to get fractional exponent. %<*example> %\fi \begin{docCommand}{oosqrtomxs}{\marg{arg}} -Commands for expressions convenient in numerically evaluating Lorentz factors. Say each -expression out loud and you'll see where the command names come from. +Commands for expressions convenient in numerically evaluating Lorentz +factors. Say each expression out loud and you'll see where the command +names come from. \end{docCommand} \begin{dispExample*}{sidebyside} \oosqrtomxs{0.22}, @@ -5811,7 +6213,8 @@ expression out loud and you'll see where the command names come from. %\fi % % \subsection{Custom Operators} -% The \(=\) operator is frequently misused. We need other operators for other cases. +% The \(=\) operator is frequently misused. We need other operators +% for other cases. %\iffalse %<*example> %\fi @@ -5829,8 +6232,9 @@ Command for \textit{test-for-equality} operator. %<*example> %\fi \begin{docCommand}{wordoperator}{\marg{firstline}\marg{secondline}} -Command for two lines of tiny text to be use as an operator without using mathematical -symbols. Use \cs{pwordoperator} to get parentheses around the operator. +Command for two lines of tiny text to be use as an operator without using +mathematical symbols. Use \cs{pwordoperator} to get parentheses around the +operator. \end{docCommand} \begin{dispExample*}{sidebyside} \wordoperator{added}{to} \\ @@ -5844,8 +6248,8 @@ symbols. Use \cs{pwordoperator} to get parentheses around the operator. %<*example> %\fi \begin{docCommand}{definedas}{} -Commands for frequently used word operators. Prepend |p| to each to get parentheses -around the operator. +Commands for frequently used word operators. Prepend |p| to each to get +parentheses around the operator. \end{docCommand} \begin{dispExample*}{sidebyside} \definedas and \associated and \adjustedby \\ @@ -5874,8 +6278,8 @@ Command for \textit{defines} or \textit{defined by} operator. %<*example> %\fi \begin{docCommand}{inframe}{\oarg{frame}} -Command for operator indicating the coordinate representation of a vector in a -particular reference frame denoted by a capital letter. +Command for operator indicating the coordinate representation of a vector +in a particular reference frame denoted by a capital letter. \ntodo[Suggestion]{Make the arrow's length fixed.} \end{docCommand} \begin{dispExample*}{sidebyside} @@ -5890,8 +6294,8 @@ particular reference frame denoted by a capital letter. %<*example> %\fi \begin{docCommand}{associates}{} -Command for \textit{associated with} or \textit{associates with} operator (for verbal -concepts). +Command for \textit{associated with} or \textit{associates with} operator +(for verbal concepts). \end{docCommand} \begin{dispExample*}{sidebyside} kinetic energy \associates velocity @@ -5958,8 +6362,8 @@ Command for bidirectional relationship. %<*example> %\fi \begin{docCommand}{momentumprinciple}{} -Expression for the momentum principle. Prepend \cs{LHS} to get just the left -hand side and \cs{RHS} to get just the right hand side. +Expression for the momentum principle. Prepend \cs{LHS} to get just +the left hand side and \cs{RHS} to get just the right hand side. \end{docCommand} \begin{dispExample*}{sidebyside} \momentumprinciple @@ -5986,8 +6390,8 @@ Expression for the momentum principle in differential form. %\fi \begin{docCommand}{energyprinciple}{} Expression for the energy principle. Prepend \cs{LHS} to get just the left -hand side and \cs{RHS} to get just the right hand side. Processes other than work -and thermal energy transfer (e.g.\ radiation) are neglected. +hand side and \cs{RHS} to get just the right hand side. Processes other +than work and thermal energy transfer (e.g.\ radiation) are neglected. \end{docCommand} \begin{dispExample*}{sidebyside} \energyprinciple @@ -6013,8 +6417,8 @@ Expression for the energy principle in differential form. %<*example> %\fi \begin{docCommand}{angularmomentumprinciple}{} -Expression for the angular momentum principle. Prepend \cs{LHS} to get just -the left hand side and \cs{RHS} to get just the right hand side. +Expression for the angular momentum principle. Prepend \cs{LHS} to get +just the left hand side and \cs{RHS} to get just the right hand side. \end{docCommand} \begin{dispExample*}{sidebyside} \angularmomentumprinciple @@ -6101,8 +6505,8 @@ Expression for a particle's magnetic field. %</example> %\fi % -% In the commands that take an optional label, note how to specify initial and final -% values of quantities. +% In the commands that take an optional label, note how to specify +% initial and final values of quantities. % %\iffalse %<*example> @@ -6637,14 +7041,14 @@ Various symbols for total angular momentum. %</example> %\fi % -%\changes{v2.4.0}{2014/12/16}{Added Maxwell's equations in both integral and -% differential forms, both with and without magnetic monopoles.} +%\changes{v2.4.0}{2014/12/16}{Added Maxwell's equations in both integral +% and differential forms, both with and without magnetic monopoles.} %\iffalse %<*example> %\fi \begin{docCommand}{LHSmaxwelliint}{\oarg{surfacename}} -Left hand side of Maxwell's first equation in integral form. Note the default -value of the optional argument. +Left hand side of Maxwell's first equation in integral form. Note the +default value of the optional argument. \end{docCommand} \begin{dispExample*}{sidebyside} \begin{align*} @@ -6673,8 +7077,8 @@ Right hand side of Maxwell's first equation in integral form. %<*example> %\fi \begin{docCommand}{RHSmaxwelliinta}{\oarg{volumename}} -Alternate form of right hand side of Maxwell's first equation in integral form. -Note the default value of the optional argument. +Alternate form of right hand side of Maxwell's first equation in +integral form. Note the default value of the optional argument. \end{docCommand} \begin{dispExample*}{sidebyside} \begin{align*} @@ -6690,7 +7094,8 @@ Note the default value of the optional argument. %<*example> %\fi \begin{docCommand}{RHSmaxwelliintfree}{} -Right hand side of Maxwell's first equation in integral form in free space. +Right hand side of Maxwell's first equation in integral form in +free space. \end{docCommand} \begin{dispExample*}{sidebyside} \[ \RHSmaxwelliintfree \] @@ -6703,8 +7108,8 @@ Right hand side of Maxwell's first equation in integral form in free space. %<*example> %\fi \begin{docCommand}{maxwelliint}{\oarg{surfacename}} -Maxwell's first equation in integral form. Note the default value of the optional -argument. +Maxwell's first equation in integral form. +Note the default value of the optional argument. \end{docCommand} \begin{dispExample*}{sidebyside} \begin{align*} @@ -6720,8 +7125,8 @@ argument. %<*example> %\fi \begin{docCommand}{maxwelliinta}{\oarg{surfacename}\oarg{volumename}} -Alternate form of Maxwell's first equation in integral form. Note the default values -of the optional arguments. +Alternate form of Maxwell's first equation in integral form. +Note the default values of the optional arguments. \end{docCommand} \begin{dispExample*}{sidebyside} \begin{align*} @@ -6737,8 +7142,8 @@ of the optional arguments. %<*example> %\fi \begin{docCommand}{maxwelliintfree}{\oarg{surfacename}} -Maxwell's first equation in integral form in free space. Note the default value -of the optional argument. +Maxwell's first equation in integral form in free space. +Note the default value of the optional argument. \end{docCommand} \begin{dispExample*}{sidebyside} \begin{align*} @@ -6754,8 +7159,8 @@ of the optional argument. %<*example> %\fi \begin{docCommand}{LHSmaxwelliiint}{\oarg{surfacename}} -Left hand side of Maxwell's second equation in integral form. Note the default -value of the optional argument. +Left hand side of Maxwell's second equation in integral form. +Note the default value of the optional argument. \end{docCommand} \begin{dispExample*}{sidebyside} \begin{align*} @@ -6784,7 +7189,8 @@ Right hand side of Maxwell's second equation in integral form. %<*example> %\fi \begin{docCommand}{RHSmaxwelliiintm}{} -Right hand side of Maxwell's second equation in integral form with magnetic monopoles. +Right hand side of Maxwell's second equation in integral form +with magnetic monopoles. \end{docCommand} \begin{dispExample*}{sidebyside} \[ \RHSmaxwelliiintm \] @@ -6797,8 +7203,9 @@ Right hand side of Maxwell's second equation in integral form with magnetic mono %<*example> %\fi \begin{docCommand}{RHSmaxwelliiintma}{\oarg{volumename}} -Alternate form of right hand side of Maxwell's second equation in integral form with -magnetic monopoles. Note the default value of the optional argument. +Alternate form of right hand side of Maxwell's second equation in +integral form with magnetic monopoles. Note the default value of +the optional argument. \end{docCommand} \begin{dispExample*}{sidebyside} \begin{align*} @@ -6814,7 +7221,8 @@ magnetic monopoles. Note the default value of the optional argument. %<*example> %\fi \begin{docCommand}{RHSmaxwelliiintfree}{} -Right hand side of Maxwell's second equation in integral form in free space. +Right hand side of Maxwell's second equation in integral form in +free space. \end{docCommand} \begin{dispExample*}{sidebyside} \[ \RHSmaxwelliiintfree \] @@ -6827,8 +7235,8 @@ Right hand side of Maxwell's second equation in integral form in free space. %<*example> %\fi \begin{docCommand}{maxwelliiint}{\oarg{surfacename}} -Maxwell's second equation in integral form. Note the default value of the optional -argument. +Maxwell's second equation in integral form. Note the default value +of the optional argument. \end{docCommand} \begin{dispExample*}{sidebyside} \begin{align*} @@ -6844,8 +7252,8 @@ argument. %<*example> %\fi \begin{docCommand}{maxwelliiintm}{\oarg{surfacename}} -Maxwell's second equation in integral form with magnetic monopoles. Note the default -value of the optional argument. +Maxwell's second equation in integral form with magnetic monopoles. +Note the default value of the optional argument. \end{docCommand} \begin{dispExample*}{sidebyside} \begin{align*} @@ -6861,8 +7269,8 @@ value of the optional argument. %<*example> %\fi \begin{docCommand}{maxwelliiintma}{\oarg{surfacename}\oarg{volumename}} -Alternate form of Maxwell's second equation in integral form with magnetic monopoles. -Note the default values of the optional arguments. +Alternate form of Maxwell's second equation in integral form with +magnetic monopoles. Note the default values of the optional arguments. \end{docCommand} \begin{dispExample*}{sidebyside} \begin{align*} @@ -6878,8 +7286,8 @@ Note the default values of the optional arguments. %<*example> %\fi \begin{docCommand}{maxwelliiintfree}{\oarg{surfacename}} -Maxwell's second equation in integral form in free space. Note the default value -of the optional argument. +Maxwell's second equation in integral form in free space. +Note the default value of the optional argument. \end{docCommand} \begin{dispExample*}{sidebyside} \begin{align*} @@ -6895,8 +7303,8 @@ of the optional argument. %<*example> %\fi \begin{docCommand}{LHSmaxwelliiiint}{\oarg{boundaryname}} -Left hand side of Maxwell's third equation in integral form. Note the default value -of the optional argument. +Left hand side of Maxwell's third equation in integral form. +Note the default value of the optional argument. \end{docCommand} \begin{dispExample*}{sidebyside} \begin{align*} @@ -6912,8 +7320,8 @@ of the optional argument. %<*example> %\fi \begin{docCommand}{RHSmaxwelliiiint}{\oarg{surfacename}} -Right hand side of Maxwell's third equation in integral form. Note the default value -of the optional argument. +Right hand side of Maxwell's third equation in integral form. +Note the default value of the optional argument. \end{docCommand} \begin{dispExample*}{sidebyside} \begin{align*} @@ -6929,8 +7337,8 @@ of the optional argument. %<*example> %\fi \begin{docCommand}{RHSmaxwelliiiintm}{\oarg{surfacename}} -Right hand side of Maxwell's third equation in integral form with magnetic monopoles. -Note the default value of the optional argument. +Right hand side of Maxwell's third equation in integral form with +magnetic monopoles. Note the default value of the optional argument. \end{docCommand} \begin{dispExample*}{sidebyside} \begin{align*} @@ -6946,8 +7354,9 @@ Note the default value of the optional argument. %<*example> %\fi \begin{docCommand}{RHSmaxwelliiiintma}{\oarg{surfacename}} -Alternate form of right hand side of Maxwell's third equation in integral form with -magnetic monopoles. Note the default value of the optional argument. +Alternate form of right hand side of Maxwell's third equation in +integral form with magnetic monopoles. Note the default value of +the optional argument. \end{docCommand} \begin{dispExample*}{sidebyside} \begin{align*} @@ -6963,8 +7372,8 @@ magnetic monopoles. Note the default value of the optional argument. %<*example> %\fi \begin{docCommand}{RHSmaxwelliiiintfree}{\oarg{surfacename}} -Right hand side of Maxwell's third equation in integral form in free space. -Note the default value of the optional argument. +Right hand side of Maxwell's third equation in integral form in +free space. Note the default value of the optional argument. \end{docCommand} \begin{dispExample*}{sidebyside} \begin{align*} @@ -6980,8 +7389,8 @@ Note the default value of the optional argument. %<*example> %\fi \begin{docCommand}{maxwelliiiint}{\oarg{boundaryname}\oarg{surfacename}} -Maxwell's third equation in integral form. Note the default values of the optional -arguments. +Maxwell's third equation in integral form. Note the default values of +the optional arguments. \end{docCommand} \begin{dispExample*}{sidebyside} \begin{align*} @@ -6997,8 +7406,8 @@ arguments. %<*example> %\fi \begin{docCommand}{maxwelliiiintm}{\oarg{boundaryname}\oarg{surfacename}} -Maxwell's third equation in integral form with magnetic monopoles. Note the default -values of the optional arguments. +Maxwell's third equation in integral form with magnetic monopoles. +Note the default values of the optional arguments. \end{docCommand} \begin{dispExample*}{sidebyside} \begin{align*} @@ -7014,8 +7423,8 @@ values of the optional arguments. %<*example> %\fi \begin{docCommand}{maxwelliiiintma}{\oarg{boundaryname}\oarg{surfacename}} -Alternate form of Maxwell's third equation in integral form with magnetic monopoles. -Note the default values of the optional arguments. +Alternate form of Maxwell's third equation in integral form with magnetic +monopoles. Note the default values of the optional arguments. \end{docCommand} \begin{dispExample*}{sidebyside} \begin{align*} @@ -7031,8 +7440,8 @@ Note the default values of the optional arguments. %<*example> %\fi \begin{docCommand}{maxwelliiiintfree}{\oarg{boundaryname}\oarg{surfacename}} -Maxwell's third equation in integral form in free space. Note the default values -of the optional arguments. +Maxwell's third equation in integral form in free space. Note the default +values of the optional arguments. \end{docCommand} \begin{dispExample*}{sidebyside} \begin{align*} @@ -7048,8 +7457,8 @@ of the optional arguments. %<*example> %\fi \begin{docCommand}{LHSmaxwellivint}{\oarg{boundaryname}} -Left hand side of Maxwell's fourth equation in integral form. Note the default -value of the optional argument. +Left hand side of Maxwell's fourth equation in integral form. +Note the default value of the optional argument. \end{docCommand} \begin{dispExample*}{sidebyside} \begin{align*} @@ -7065,8 +7474,8 @@ value of the optional argument. %<*example> %\fi \begin{docCommand}{RHSmaxwellivint}{\oarg{surfacename}} -Right hand side of Maxwell's fourth equation in integral form. Note the default -value of the optional argument. +Right hand side of Maxwell's fourth equation in integral form. +Note the default value of the optional argument. \end{docCommand} \begin{dispExample*}{sidebyside} \begin{align*} @@ -7082,8 +7491,8 @@ value of the optional argument. %<*example> %\fi \begin{docCommand}{RHSmaxwellivinta}{\oarg{surfacename}} -Alternate form of right hand side of Maxwell's fourth equation in integral form. -Note the default value of the optional argument. +Alternate form of right hand side of Maxwell's fourth equation in +integral form. Note the default value of the optional argument. \end{docCommand} \begin{dispExample*}{sidebyside} \begin{align*} @@ -7099,8 +7508,8 @@ Note the default value of the optional argument. %<*example> %\fi \begin{docCommand}{RHSmaxwellivintfree}{\oarg{surfacename}} -Right hand side of Maxwell's fourth equation in integral form in free space. -Note the default value of the optional argument. +Right hand side of Maxwell's fourth equation in integral form in +free space. Note the default value of the optional argument. \end{docCommand} \begin{dispExample*}{sidebyside} \begin{align*} @@ -7116,8 +7525,8 @@ Note the default value of the optional argument. %<*example> %\fi \begin{docCommand}{maxwellivint}{\oarg{boundaryname}\oarg{surfacename}} -Maxwell's fourth equation in integral form. Note the default values of the -optional arguments. +Maxwell's fourth equation in integral form. Note the default values of +the optional arguments. \end{docCommand} \begin{dispExample*}{sidebyside} \begin{align*} @@ -7133,8 +7542,8 @@ optional arguments. %<*example> %\fi \begin{docCommand}{maxwellivinta}{\oarg{boundaryname}\oarg{surfacename}} -Alternate form of Maxwell's fourth equation in integral form. Note the default -values of the optional arguments. +Alternate form of Maxwell's fourth equation in integral form. +Note the default values of the optional arguments. \end{docCommand} \begin{dispExample*}{sidebyside} \begin{align*} @@ -7150,8 +7559,8 @@ values of the optional arguments. %<*example> %\fi \begin{docCommand}{maxwellivintfree}{\oarg{boundaryname}\oarg{surfacename}} -Maxwell's fourth equation in integral form in free space. Note the default values -of the optional arguments. +Maxwell's fourth equation in integral form in free space. +Note the default values of the optional arguments. \end{docCommand} \begin{dispExample*}{sidebyside} \begin{align*} @@ -7193,7 +7602,8 @@ Right hand side of Maxwell's first equation in differential form. %<*example> %\fi \begin{docCommand}{RHSmaxwellidiffree}{} -Right hand side of Maxwell's first equation in differential form in free space. +Right hand side of Maxwell's first equation in differential form +in free space. \end{docCommand} \begin{dispExample*}{sidebyside} \[ \RHSmaxwellidiffree \] @@ -7258,8 +7668,8 @@ Right hand side of Maxwell's second equation in differential form. %<*example> %\fi \begin{docCommand}{RHSmaxwelliidifm}{} -Right hand side of Maxwell's second equation in differential form with magnetic -monopoles. +Right hand side of Maxwell's second equation in differential +form with magnetic monopoles. \end{docCommand} \begin{dispExample*}{sidebyside} \[ \RHSmaxwelliidifm \] @@ -7272,7 +7682,8 @@ monopoles. %<*example> %\fi \begin{docCommand}{RHSmaxwelliidiffree}{} -Right hand side of Maxwell's second equation in differential form in free space. +Right hand side of Maxwell's second equation in differential +form in free space. \end{docCommand} \begin{dispExample*}{sidebyside} \[ \RHSmaxwelliidiffree \] @@ -7298,7 +7709,8 @@ Maxwell's second equation in differential form. %<*example> %\fi \begin{docCommand}{maxwelliidifm}{} -Maxwell's second equation in differential form with magnetic monopoles. +Maxwell's second equation in differential form with magnetic +monopoles. \end{docCommand} \begin{dispExample*}{sidebyside} \[ \maxwelliidifm \] @@ -7350,8 +7762,8 @@ Right hand side of Maxwell's third equation in differential form. %<*example> %\fi \begin{docCommand}{RHSmaxwelliiidifm}{} -Right hand side of Maxwell's third equation in differential form with magnetic -monopoles. +Right hand side of Maxwell's third equation in differential form +with magnetic monopoles. \end{docCommand} \begin{dispExample*}{sidebyside} \[ \RHSmaxwelliiidifm \] @@ -7364,7 +7776,8 @@ monopoles. %<*example> %\fi \begin{docCommand}{RHSmaxwelliiidiffree}{} -Right hand side of Maxwell's third equation in differential form in free space. +Right hand side of Maxwell's third equation in differential form +in free space. \end{docCommand} \begin{dispExample*}{sidebyside} \[ \RHSmaxwelliiidiffree \] @@ -7390,7 +7803,8 @@ Maxwell's third equation in differential form. %<*example> %\fi \begin{docCommand}{maxwelliiidifm}{} -Maxwell's third equation in differential form with magnetic monopoles. +Maxwell's third equation in differential form with magnetic +monopoles. \end{docCommand} \begin{dispExample*}{sidebyside} \[ \maxwelliiidifm \] @@ -7442,7 +7856,8 @@ Right hand side of Maxwell's fourth equation in differential form. %<*example> %\fi \begin{docCommand}{RHSmaxwellivdiffree}{} -Right hand side of Maxwell's fourth equation in differential form in free space. +Right hand side of Maxwell's fourth equation in differential form +in free space. \end{docCommand} \begin{dispExample*}{sidebyside} \[ \RHSmaxwellivdiffree \] @@ -7477,8 +7892,8 @@ Maxwell's fourth equation in differential form in free space. %</example> %\fi % -%\changes{v2.4.0}{2014/12/16}{Added Lorentz force, with and without magnetic -% monopoles.} +%\changes{v2.4.0}{2014/12/16}{Added Lorentz force, with and +% without magnetic monopoles.} %\iffalse %<*example> %\fi @@ -7505,29 +7920,58 @@ Right hand side of Lorentz force with magnetic monopoles. %</example> %\fi % -%\changes{v2.4.0}{2014/12/16}{\pkgname{vpythonline} now uses a uniform style.} +%\changes{v2.5.0}{2015/10/08}{Added \cs{eulerlagrange} command to +% typeset the Euler-Lagrange equation.} +%\iffalse +%<*example> +%\fi +\begin{docCommand}{eulerlagrange}{\oarg{operand}} +Euler-Lagrange equation. Use \cs{Eulerlagrange} to get \(\Delta\) +instead of \(\partial\). +\end{docCommand} +\begin{dispExample*}{sidebyside} +\( \eulerlagrange \) or \( \eulerlagrange[x] \) +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +% +% \subsection{VPython and GlowScript Code} +% There are three ways to deal with VPython\footnote{See the VPython home page at +% \url{http://vpython.org/} for more information.} and GlowScript\footnote{See the +% GlowScript home page at \url{http://glowscript.org/} for more information.} code. +% +%\changes{v2.4.0}{2014/12/16}{\cs{vpythonline} now uses a uniform style.} +%\changes{v2.4.1}{2015/01/23}{Added more VPython keywords.} +%\changes{v2.5.0}{2016/01/26}{Added explicit mention of VPython and +% GlowScript.} +%\changes{v2.5.0}{2016/01/26}{Added GlowScript keywords.} %\iffalse %<*example> %\fi \begin{docCommand}{vpythonline}{\marg{vpythoncode}} -Command for a single line of VPython code used inline. +Command for a single line of VPython or GlowScript code used inline. \end{docCommand} \begin{dispExample*}{sidebyside} -\vpythonline{from visual import *} +\vpythonline{from __future__ import division, print_function} \end{dispExample*} %\iffalse %</example> %\fi % -%\changes{v2.4.0}{2014/12/16}{\pkgname{vpythonblock} now uses a uniform style.} +%\changes{v2.4.0}{2014/12/16}{\cs{vpythonblock} now uses a uniform style.} +%\changes{v2.4.1}{2015/02/11}{\cs{vpythonblock} now accepts an optional +% caption.} %\iffalse %<*example> %\fi -\begin{docEnvironment}{vpythonblock}{} -Environment for a block of VPython code. +\newpage +\begin{docEnvironment}{vpythonblock}{\oarg{caption}} +Environment for a block of VPython or GlowScript code. \end{docEnvironment} \begin{dispExample} -\begin{vpythonblock} +\begin{vpythonblock}[Example VPython Listing] from __future__ import division,print_function from visual import * sphere(pos=vector(1,2,3),color=color.green) @@ -7535,20 +7979,32 @@ Environment for a block of VPython code. MyArrow=arrow(pos=earth.pos,axis=fscale*Fnet,color=color.green) print ("arrow.pos = "), arrow.pos \end{vpythonblock} +\begin{vpythonblock}[Example GlowScript Listing] + GlowScript 2.0 VPython + sphere(pos=vector(1,2,3),color=color.green) + # create a named arrow + MyArrow=arrow(pos=earth.pos,axis=fscale*Fnet,color=color.green) + print ("arrow.pos = "), arrow.pos +\end{vpythonblock} \end{dispExample} %\iffalse %</example> %\fi % -%\changes{v2.4.0}{2014/12/16}{\pkgname{vpythonfile} now uses a uniform style.} +%\changes{v2.4.0}{2014/12/16}{\cs{vpythonfile} now uses a uniform style.} +%\changes{v2.4.1}{2015/02/11}{\cs{vpythonfile} now accepts an optional +% caption.} +%\changes{v2.5.0}{2016/01/26}{\cs{vpythonfile} now begins listings on a new page.} %\iffalse %<*example> %\fi -\begin{docCommand}{vpythonfile}{\meta{filename}} -Typesets a file in the current directory containing VPython code. +\newpage +\begin{docCommand}{vpythonfile}{\oarg{caption}\meta{filename}} +Typesets a file in the current directory containing VPython or GlowScript +code. The listing will begin on a new page. \end{docCommand} \begin{dispExample} -\vpythonfile{vdemo.py} +\vpythonfile[vdemo.py]{vdemo.py} \end{dispExample} %\iffalse %</example> @@ -7613,6 +8069,7 @@ Like \cs{activityanswer} but adjusts vertically to tightly surround text. %</example> %\fi % +%\newpage %\iffalse %<*example> %\fi @@ -7661,6 +8118,7 @@ id pulvinar odio lorem non turpis. Nullam sit amet enim.] %</example> %\fi % +%\newpage %\iffalse %<*example> %\fi @@ -7681,8 +8139,8 @@ neque, id pulvinar odio lorem non turpis. Nullam sit amet enim.] %<*example> %\fi \begin{docCommand}{smallanswerbox}{\oarg{txt}\oarg{bgclr}} -Answer box with height 0.10 that of current \cs{textheight} and width 0.90 that of -current \cs{linewidth}. +Answer box with height 0.10 that of current \cs{textheight} +and width 0.90 that of current \cs{linewidth}. \end{docCommand} \begin{dispExample} \smallanswerbox[][red] @@ -7695,8 +8153,8 @@ current \cs{linewidth}. %<*example> %\fi \begin{docCommand}{mediumanswerbox}{\oarg{txt}\oarg{bgclr}} -Answer box with height 0.20 that of current \cs{textheight} and width 0.90 that of -current \cs{linewidth}. +Answer box with height 0.20 that of current \cs{textheight} +and width 0.90 that of current \cs{linewidth}. \end{docCommand} \begin{dispExample} \mediumanswerbox[][lightgray] @@ -7709,8 +8167,8 @@ current \cs{linewidth}. %<*example> %\fi \begin{docCommand}{largeanswerbox}{\oarg{txt}\oarg{bgclr}} -Answer box with height 0.25 that of current \cs{textheight} and width 0.90 that of -current \cs{linewidth} (too large to show here). +Answer box with height 0.25 that of current \cs{textheight} +and width 0.90 that of current \cs{linewidth} (too large to show here). \end{docCommand} \begin{dispListing} \largeanswerbox[][lightgray] @@ -7723,8 +8181,8 @@ current \cs{linewidth} (too large to show here). %<*example> %\fi \begin{docCommand}{largeranswerbox}{\oarg{txt}\oarg{bgclr}} -Answer box with height 0.33 that of current \cs{textheight} and width 0.90 that of -current \cs{linewidth} (too large to show here). +Answer box with height 0.33 that of current \cs{textheight} +and width 0.90 that of current \cs{linewidth} (too large to show here). \end{docCommand} \begin{dispListing} \largeranswerbox[][lightgray] @@ -7737,8 +8195,8 @@ current \cs{linewidth} (too large to show here). %<*example> %\fi \begin{docCommand}{hugeanswerbox}{\oarg{txt}\oarg{bgclr}} -Answer box with height 0.50 that of current \cs{textheight} and width 0.90 that of -current \cs{linewidth} (too large to show here). +Answer box with height 0.50 that of current \cs{textheight} +and width 0.90 that of current \cs{linewidth} (too large to show here). \end{docCommand} \begin{dispListing} \hugeanswerbox[][lightgray] @@ -7751,8 +8209,8 @@ current \cs{linewidth} (too large to show here). %<*example> %\fi \begin{docCommand}{hugeranswerbox}{\oarg{txt}\oarg{bgclr}} -Answer box with height 0.75 that of current \cs{textheight} and width 0.90 that of -current \cs{linewidth} (too large to show here). +Answer box with height 0.75 that of current \cs{textheight} +and width 0.90 that of current \cs{linewidth} (too large to show here). \end{docCommand} \begin{dispListing} \hugeranswerbox[][lightgray] @@ -7765,8 +8223,8 @@ current \cs{linewidth} (too large to show here). %<*example> %\fi \begin{docCommand}{fullpageanswerbox}{\oarg{txt}\oarg{bgclr}} -Answer box with height 1.00 that of current \cs{textheight} and width 0.90 that of -current \cs{linewidth} (too large to show here). +Answer box with height 1.00 that of current \cs{textheight} +and width 0.90 that of current \cs{linewidth} (too large to show here). \end{docCommand} \begin{dispListing} \fullpageanswerbox[][lightgray] @@ -7775,6 +8233,121 @@ current \cs{linewidth} (too large to show here). %</example> %\fi % +%\changes{v2.4.2}{2015/06/08}{Added \cs{smallanswerform}.} +%\iffalse +%<*example> +%\fi +\begin{docCommand}{smallanswerform}{\oarg{name}\oarg{prompt}} +Editable answer form with height 0.10 that of current \cs{textheight} +and width 0.90 that of current \cs{linewidth}. The first argument isn't +really optional, and \textbf{must} be different for each form used. +Content can be typed in the box and saved with a PDF editor or viewer +that supports PDF forms. +\end{docCommand} +\begin{dispExample} +\smallanswerform[a1][Type your response here.] +\end{dispExample} +%\iffalse +%</example> +%\fi +% +%\newpage +%\changes{v2.4.2}{2015/06/08}{Added \cs{mediumanswerform}.} +%\iffalse +%<*example> +%\fi +\begin{docCommand}{mediumanswerform}{\oarg{name}\oarg{prompt}} +Editable answer form with height 0.20 that of current \cs{textheight} +and width 0.90 that of current \cs{linewidth}. The first argument isn't +really optional, and \textbf{must} be different for each form used. +Content can be typed in the box and saved with a PDF editor or viewer +that supports PDF forms. +\end{docCommand} +\begin{dispExample} +\mediumanswerform[a1][Type your response here.] +\end{dispExample} +%\iffalse +%</example> +%\fi +% +%\changes{v2.4.2}{2015/06/08}{Added \cs{largeanswerform}.} +%\iffalse +%<*example> +%\fi +\begin{docCommand}{largeanswerform}{\oarg{name}\oarg{prompt}} +Editable answer form with height 0.25 that of current \cs{textheight} +and width 0.90 that of current \cs{linewidth} (too large to show here). +\end{docCommand} +\begin{dispListing} +\largeanswerform[a1][Type your response here.] +\end{dispListing} +%\iffalse +%</example> +%\fi +% +%\changes{v2.4.2}{2015/06/08}{Added \cs{largeranswerform}.} +%\iffalse +%<*example> +%\fi +\begin{docCommand}{largeranswerform}{\oarg{name}\oarg{prompt}} +Editable answer form with height 0.33 that of current \cs{textheight} +and width 0.90 that of current \cs{linewidth} (too large to show here). +\end{docCommand} +\begin{dispListing} +\largeranswerform[a1][Type your response here.] +\end{dispListing} +%\iffalse +%</example> +%\fi +% +%\changes{v2.4.2}{2015/06/08}{Added \cs{hugeanswerform}.} +%\iffalse +%<*example> +%\fi +\begin{docCommand}{hugeanswerform}{\oarg{name}\oarg{prompt}} +Editable answer form with height 0.50 that of current \cs{textheight} +and width 0.90 that of current \cs{linewidth} (too large to show here). +\end{docCommand} +\begin{dispListing} +\hugeanswerform[a1][Type your response here.] +\end{dispListing} +%\iffalse +%</example> +%\fi +% +%\changes{v2.4.2}{2015/06/08}{Added \cs{hugeranswerform}.} +%\iffalse +%<*example> +%\fi +\begin{docCommand}{hugeranswerform}{\oarg{name}\oarg{prompt}} +Editable answer form with height 0.75 that of current \cs{textheight} +and width 0.90 that of current \cs{linewidth} (too large to show here). +\end{docCommand} +\begin{dispListing} +\hugeranswerform[a1][Type your response here.] +\end{dispListing} +%\iffalse +%</example> +%\fi +% +%\newpage +%\changes{v2.4.2}{2015/06/08}{Added \cs{fullpageanswerform}.} +%\iffalse +%<*example> +%\fi +\begin{docCommand}{fullpageanswerform}{\oarg{name}\oarg{prompt}} +Editable answer form with height 1.00 that of current \cs{textheight} +and width 0.90 that of current \cs{linewidth} (too large to show here). +\end{docCommand} +\begin{dispListing} +\fullpageanswerform[a1][Type your response here.] +\end{dispListing} +%\iffalse +%</example> +%\fi +% +%\changes{v2.4.1}{2015/02/14}{Commands that use \pkgname{mdframed} +% will not break over pages.} %\iffalse %<*example> %\fi @@ -7798,6 +8371,7 @@ Environment for highlighting notes to instructors. %</example> %\fi % +%\newpage %\iffalse %<*example> %\fi @@ -7821,21 +8395,27 @@ Environment for highlighting notes to students. %</example> %\fi % +%\newpage +%\changes{v2.5.0}{2015/10/14}{\cs{miderivation} now prints line numbers.} +%\changes{v2.5.0}{2015/10/14}{Added \cs{miderivation*} to suppress line +% numbers.} %\iffalse %<*example> %\fi \begin{docEnvironment}{miderivation}{} -Environment for mathematical derivations based on the |align| environment. +Environment for mathematical derivations based on the |align| environment. +Use |miderivation*| to suppress line numbers. See |mysolution| for how to +handle long lines in this environment. \end{docEnvironment} \begin{dispExample} \begin{miderivation} \gamma &= \relgamma{\magvect{v}} && \text{given} \\ - \gamma\squared &= \ooomx{(\frac{\magvect{v}}{c})\squared} + \gamma\squared &= \ooomx{\inparens{\frac{\magvect{v}}{c}}\squared} &&\text{square both sides}\\ - \frac{1}{\gamma\squared} &= 1-(\frac{\magvect{v}}{c})\squared + \frac{1}{\gamma\squared} &= 1-\inparens{\frac{\magvect{v}}{c}}\squared &&\text{reciprocal of both sides} \\ - (\frac{\magvect{v}}{c})\squared &= 1-\frac{1}{\gamma\squared} + \inparens{\frac{\magvect{v}}{c}}\squared &= 1-\frac{1}{\gamma\squared} &&\text{rearrange} \\ \frac{\magvect{v}}{c} &= \sqrt{1-\frac{1}{\gamma\squared}} &&\text{square root of both sides} @@ -7845,11 +8425,12 @@ Environment for mathematical derivations based on the |align| environment. %</example> %\fi % +%\newpage %\iffalse %<*example> %\fi \begin{docEnvironment}{bwinstructornote}{} -Environment for highlighting notes to instructors. +Like |miinstructornote| but in black and grey. \end{docEnvironment} \begin{dispExample} \begin{bwinstructornote} @@ -7868,11 +8449,12 @@ Environment for highlighting notes to instructors. %</example> %\fi % +%\newpage %\iffalse %<*example> %\fi \begin{docEnvironment}{bwstudentnote}{} -Environment for highlighting notes to students. +Like |mistudentnote| but in black and grey. \end{docEnvironment} \begin{dispExample} \begin{bwstudentnote} @@ -7891,21 +8473,27 @@ Environment for highlighting notes to students. %</example> %\fi % +%\newpage +%\changes{v2.5.0}{2015/10/14}{\cs{bwderivation} now shows line numbers.} +%\changes{v2.5.0}{2015/10/14}{Added \cs{bwderivation*} to suppress line +% numbers.} %\iffalse %<*example> %\fi \begin{docEnvironment}{bwderivation}{} -Environment for mathematical derivations based on the |align| environment. +Like |miderivation| but in black and grey. +Use |bwderivation*| to suppress line numbers. See |mysolution| for how to +handle long lines in this environment. \end{docEnvironment} \begin{dispExample} \begin{bwderivation} \gamma &= \relgamma{\magvect{v}} && \text{given} \\ - \gamma\squared &= \ooomx{(\frac{\magvect{v}}{c})\squared} + \gamma\squared &= \ooomx{\inparens{\frac{\magvect{v}}{c}}\squared} &&\text{square both sides}\\ - \frac{1}{\gamma\squared} &= 1-(\frac{\magvect{v}}{c})\squared + \frac{1}{\gamma\squared} &= 1-\inparens{\frac{\magvect{v}}{c}}\squared &&\text{reciprocal of both sides} \\ - (\frac{\magvect{v}}{c})\squared &= 1-\frac{1}{\gamma\squared} + \inparens{\frac{\magvect{v}}{c}}\squared &= 1-\frac{1}{\gamma\squared} &&\text{rearrange} \\ \frac{\magvect{v}}{c}&=\sqrt{1-\frac{1}{\gamma\squared}} &&\text{square root of both sides} @@ -7915,33 +8503,55 @@ Environment for mathematical derivations based on the |align| environment. %</example> %\fi % +%\changes{v2.5.0}{2015/10/14}{\cs{mysolution} now prints line numbers.} +%\changes{v2.5.0}{2015/10/14}{Added \cs{mysolution*} to suppress line +% numbers.} +%\changes{v2.5.0}{2016/01/26}{Added example showing how to handle long +% lines and suppressing numbers on broken lines.} %\iffalse %<*example> %\fi \begin{docEnvironment}{mysolution}{} -Alias for simple environment for mathematical derivations based on the |align| -environment. +Alias for simple environment for mathematical derivations based on the +|align| environment. Use |mysolution*| to suppress line numbers. The second +example shows how to handle long lines for this and the derivation environments. \end{docEnvironment} \begin{dispExample} \begin{mysolution} \gamma &= \relgamma{\magvect{v}} && \text{given} \\ - \gamma\squared &= \ooomx{(\frac{\magvect{v}}{c})\squared} + \gamma\squared &= \ooomx{\inparens{\frac{\magvect{v}}{c}}\squared} &&\text{square both sides}\\ - \frac{1}{\gamma\squared} &= 1-(\frac{\magvect{v}}{c})\squared + \frac{1}{\gamma\squared} &= 1-\inparens{\frac{\magvect{v}}{c}}\squared &&\text{reciprocal of both sides} \\ - (\frac{\magvect{v}}{c})\squared &= 1-\frac{1}{\gamma\squared} + \inparens{\frac{\magvect{v}}{c}}\squared &= 1-\frac{1}{\gamma\squared} &&\text{rearrange} \\ \frac{\magvect{v}}{c} &= \sqrt{1-\frac{1}{\gamma\squared}} &&\text{square root of both sides} \end{mysolution} +\begin{mysolution} + \vect{E} &= \electricfield{\mivector{1,2,3}} + \electricfield{\mivector{2,4,6}} + \nonumber \\ + &\hphantom{{}=\electricfield{\mivector{1,1,1}}}+\electricfield{\mivector{3,5,6}} + &&\text{superposition}\\ + \vect{E} &= \electricfield{\mivector{2,3,4}} + \electricfield{\mivector{2,4,6}} + \nonumber \\ + &+ \electricfield{\mivector{1,1,1}} +\electricfield{\mivector{3,5,6}} + &&\text{superposition again} \\ + \vect{E} &= \electricfield{\mivector{2,3,4}} + \electricfield{\mivector{2,4,6}} + \nonumber \\ + &\quad + \electricfield{\mivector{1,1,1}} +\electricfield{\mivector{3,5,6}} + && \text{more superposition} +\end{mysolution} \end{dispExample} %\iffalse %</example> %\fi % +% \newpage % \subsection{Miscellaneous Commands} % +%\changes{v2.5.0}{2015/10/08}{Added color to \cs{checkpoint}.} %\iffalse %<*example> %\fi @@ -7968,19 +8578,33 @@ Centered figure displayed actual size with caption. %</example> %\fi % +%\changes{v2.5.0}{2015/09/13}{Changed behavior of \cs{sneakyone}.} %\iffalse %<*example> %\fi \begin{docCommand}{sneakyone}{\marg{thing}} -Sshows factors dividing to a sneaky one. +Shows argument as a sneaky one. \end{docCommand} \begin{dispExample*}{sidebyside} -\sneakyone{\m} +\sneakyone{\frac{\m}{\m}} \end{dispExample*} %\iffalse %</example> %\fi % +%\changes{v2.5.0}{2015/10/08}{Added \cs{qed} symbol.} +%\iffalse +%<*example> +%\fi +\begin{docCommand}{qed}{} +Command for QED symbol. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\qed +\end{dispExample*} +%\iffalse +%</example> +%\fi % \StopEventually{} % % \newpage @@ -8008,7 +8632,9 @@ Sshows factors dividing to a sneaky one. \RequirePackage{textcomp} \RequirePackage{letltxmacro} \RequirePackage{listings} +\RequirePackage{mathtools} \RequirePackage[framemethod=TikZ]{mdframed} +\RequirePackage{stackengine} \RequirePackage{suffix} \RequirePackage{xargs} \RequirePackage{xparse} @@ -8021,29 +8647,37 @@ Sshows factors dividing to a sneaky one. \DeclareGraphicsRule{.tif}{png}{.png}{`convert #1 `basename #1 .tif`.png} \DeclareMathAlphabet{\mathpzc}{OT1}{pzc}{m}{it} \usetikzlibrary{shadows} -%\changes{v2.4.0}{2014/12/16}{Introduced a uniform style for VPython code.} -\definecolor{vbgcolor}{rgb}{1,1,1} -\definecolor{vshadowcolor}{rgb}{0.5,0.5,0.5} -\lstdefinestyle{vpython}{% % style for VPython code - language=Python,% % select language - morekeywords={visual,arrow,box,cone,% % VPython specific keywords - convex,curve,cylinder,ellipsoid,extrusion,faces,helix,label,points,pyramid,ring,% - sphere,text,frame,graphs,vector,pos,axis,radius,color,opacity,material,up,% - make_trail,trail_type,trail_object,scene,mag,mag2,norm,dot,cross,proj,comp,% - diff_angle,rotate,astuple,radians,shaftwidth,headwidth,headlength,height,width,% - size,degrees,interval,retain,__future__,division,print_function,rate},% - frame=shadowbox,% % shadowbox around listing - rulesepcolor=\color{vshadowcolor},% % shadow color - basicstyle=\footnotesize,% % basic font for code listings - commentstyle=\bfseries\color{red}, % font for comments - keywordstyle=\bfseries\color{blue},% % font for keywords - showstringspaces=true,% % show spaces in strings - numbers=left,% % where to put line numbers - numberstyle=\tiny,% % set to 'none' for no line numbers - xleftmargin=20pt,% % extra left margin - backgroundcolor=\color{vbgcolor},% % some people find this annoying - upquote=true,% % how to typeset quotes - breaklines=true}% % break long lines +\definecolor{vbgcolor}{rgb}{1,1,1} % background for code listings +\definecolor{vshadowcolor}{rgb}{0.5,0.5,0.5} % shadow for code listings +\lstdefinestyle{vpython}{% % style for code listings + language=Python,% % select language + morekeywords={__future__,division,append, % VPython/GlowScript specific keywords + arange,arrow,astuple,axis,background,black,blue,cyan,green,% + magenta,orange,red,white,yellow,border,box,color,comp,% + cone,convex,cross,curve,cylinder,degrees,diff_angle,dot,ellipsoid,extrusion,faces,% + font,frame,graphs,headlength,height,headwidth,helix,index,interval,label,length,% + line,linecolor,mag,mag2,make_trail,material,norm,normal,objects,opacity,points,pos,% + print,print_function,proj,pyramid,radians,radius,rate,retain,ring,rotate,scene,% + shaftwidth,shape,sign,size,space,sphere,text,trail_object,trail_type,True,twist,up,% + vector,visual,width,offset,yoffset,GlowScript,VPython,trail_color,trail_radius,% + pps,clear,False,CoffeeScript,graph,gdisplay,canvas,pause,vec,clone,compound,% + vertex,triangle,quad,attach_trail,attach_arrow,textures,bumpmaps,print_options,% + get_library,read_local_file},% + captionpos=b,% % position caption + frame=shadowbox,% % shadowbox around listing + rulesepcolor=\color{vshadowcolor},% % shadow color + basicstyle=\footnotesize,% % basic font for code listings + commentstyle=\bfseries\color{red}, % font for comments + keywordstyle=\bfseries\color{blue},% % font for keywords + showstringspaces=true,% % show spaces in strings + stringstyle=\bfseries\color{green},% % color for strings + numbers=left,% % where to put line numbers + numberstyle=\tiny,% % set to 'none' for no line numbers + xleftmargin=20pt,% % extra left margin + backgroundcolor=\color{vbgcolor},% % some people find this annoying + upquote=true,% % how to typeset quotes + breaklines=true}% % break long lines +\definecolor{formcolor}{gray}{0.90} % color for form background \newcolumntype{C}[1]{>{\centering}m{#1}} \newboolean{@optromanvectors} \newboolean{@optboldvectors} @@ -8051,37 +8685,40 @@ Sshows factors dividing to a sneaky one. \newboolean{@optbaseunits} \newboolean{@optdrvdunits} \newboolean{@optapproxconsts} +\newboolean{@optuseradians} \setboolean{@optromanvectors}{false} % this is where you set the default option \setboolean{@optboldvectors}{false} % this is where you set the default option \setboolean{@optsingleabsbars}{false} % this is where you set the default option \setboolean{@optbaseunits}{false} % this is where you set the default option \setboolean{@optdrvdunits}{false} % this is where you set the default option \setboolean{@optapproxconsts}{false} % this is where you set the default option +\setboolean{@optuseradians}{false} % this is where you set the default option \DeclareOption{romanvectors}{\setboolean{@optromanvectors}{true}} \DeclareOption{boldvectors}{\setboolean{@optboldvectors}{true}} \DeclareOption{singleabsbars}{\setboolean{@optsingleabsbars}{true}} \DeclareOption{baseunits}{\setboolean{@optbaseunits}{true}} \DeclareOption{drvdunits}{\setboolean{@optdrvdunits}{true}} \DeclareOption{approxconsts}{\setboolean{@optapproxconsts}{true}} +\DeclareOption{useradians}{\setboolean{@optuseradians}{true}} \ProcessOptions\relax % \end{macrocode} % +% \begin{macrocode} +\newcommand*{\mandiversion}{2.5.0} +\typeout{mandi: You're using mandi version \mandiversion.} +% \end{macrocode} +% % \noindent This block of code fixes a conflict with the amssymb package. % \begin{macrocode} \@ifpackageloaded{amssymb}{% \csundef{square} - \typeout{mandi: Package amssymb detected. Its \protect\square\space has been - redefined.} + \typeout{mandi: Package amssymb detected. Its \protect\square\space + has been redefined.} }{% \typeout{mandi: Package amssymb not detected.} }% % \end{macrocode} % -% \begin{macrocode} -\newcommand*{\mandiversion}{2.4.0} -\typeout{mandi: You're using mandi version \mandiversion.} -% \end{macrocode} -% % \noindent This block of code defines unit names and symbols. % \begin{macrocode} \newcommand*{\per}{\ensuremath{/}} @@ -8226,6 +8863,9 @@ Sshows factors dividing to a sneaky one. \ifthenelse{\boolean{@optapproxconsts}} {\typeout{mandi: You'll get approximate constants.}} {\typeout{mandi: You'll get precise constants.}} +\ifthenelse{\boolean{@optuseradians}} + {\typeout{mandi: You'll get radians in ang mom, ang impulse, and torque.}} + {\typeout{mandi: You won't get radians in ang mom, ang impulse, and torque.}} % \end{macrocode} % % \noindent This is a utility command for picking constants. @@ -8235,22 +8875,6 @@ Sshows factors dividing to a sneaky one. {\newcommand*{\mi@p}[2]{#2}} % precise value % \end{macrocode} % -% \noindent This block of code makes parentheses adjustable. -% \begin{macrocode} -\def\resetMathstrut@{% - \setbox\z@\hbox{% - \mathchardef\@tempa\mathcode`\[\relax - \def\@tempb##1"##2##3{\the\textfont"##3\char"}% - \expandafter\@tempb\meaning\@tempa \relax}% - \ht\Mathstrutbox@\ht\z@ \dp\Mathstrutbox@\dp\z@} -\begingroup - \catcode`(\active \xdef({\left\string(} - \catcode`)\active \xdef){\right\string)} -\endgroup -\mathcode`(="8000 \mathcode`)="8000 -\typeout{mandi: Parentheses have been made adjustable in math mode.} -% \end{macrocode} -% % \noindent SI base unit of length or spatial displacement % \begin{macrocode} \newcommand*{\m}{\metre} @@ -8294,15 +8918,6 @@ Sshows factors dividing to a sneaky one. \newcommand*{\dimtemperature}{\ensuremath{\mathrm{\Theta}}} \newcommand*{\dimamount}{\ensuremath{\mathrm{N}}} \newcommand*{\dimluminous}{\ensuremath{\mathrm{J}}} -\newphysicsquantity{displacement}{\m}[\m][\m] -\newphysicsquantity{mass}{\kg}[\kg][\kg] -\newphysicsquantity{duration}{\s}[\s][\s] -\newphysicsquantity{current}{\A}[\A][\A] -\newphysicsquantity{temperature}{\K}[\K][\K] -\newphysicsquantity{amount}{\mol}[\mol][\mol] -\newphysicsquantity{luminous}{\cd}[\cd][\cd] -\newphysicsquantity{planeangle}{\m\usk\reciprocal\m}[\rad][\relax] -\newphysicsquantity{solidangle}{\m\squared\usk\reciprocalsquare\m}[\sr][\relax] \newcommand*{\indegrees}[1]{\unit{#1}{\degree}} \newcommand*{\inFarenheit}[1]{\unit{#1}{\degree\mathrm{F}}} \newcommand*{\inCelsius}[1]{\unit{#1}{\degree\mathrm{C}}} @@ -8335,120 +8950,329 @@ Sshows factors dividing to a sneaky one. \newcommand*{\insolarD}[1]{\unit{#1}{\Dsolar}} \newcommand*{\insolard}[1]{\unit{#1}{\dsolar}} \newcommand*{\velocityc}[1]{\ensuremath{#1c}} -\newphysicsquantity{velocity}{\m\usk\reciprocal\s}[\m\usk\reciprocal\s][\m\per\s] +\newcommand*{\lorentz}[1]{\ensuremath{#1}} \newcommand*{\speed}{\velocity} -\newphysicsquantity{acceleration}{\m\usk\s\reciprocalsquared}[\N\per\kg]% +\newphysicsquantity{displacement}% + {\m}% + [\m]% + [\m] +\newphysicsquantity{mass}% + {\kg}% + [\kg]% + [\kg] +\newphysicsquantity{duration}% + {\s}% + [\s]% + [\s] +\newphysicsquantity{current}% + {\A}% + [\A]% + [\A] +\newphysicsquantity{temperature}% + {\K}% + [\K]% + [\K] +\newphysicsquantity{amount}% + {\mol}% + [\mol]% + [\mol] +\newphysicsquantity{luminous}% + {\cd}% + [\cd]% + [\cd] +\newphysicsquantity{planeangle}% + {\m\usk\reciprocal\m}% + [\rad]% + [] +\newphysicsquantity{solidangle}% + {\m\squared\usk\reciprocalsquare\m}% + [\sr]% + [] +\newphysicsquantity{velocity}% + {\m\usk\reciprocal\s}% + [\m\usk\reciprocal\s]% + [\m\per\s] +\newphysicsquantity{acceleration}% + {\m\usk\s\reciprocalsquared}% + [\N\per\kg]% [\m\per\s\squared] -\newphysicsquantity{gravitationalfield}{\m\usk\s\reciprocalsquared}[\N\per\kg]% +\newphysicsquantity{gravitationalfield}% + {\m\usk\s\reciprocalsquared}% + [\N\per\kg]% [\N\per\kg] -\newphysicsquantity{gravitationalpotential}{\square\m\usk\reciprocalsquare\s}% - [\J\per\kg][\J\per\kg] -\newcommand*{\lorentz}[1]{\ensuremath{#1}} -\newphysicsquantity{momentum}{\m\usk\kg\usk\reciprocal\s}[\N\usk\s][\kg\usk\m\per\s] -\newphysicsquantity{impulse}{\m\usk\kg\usk\reciprocal\s}[\N\usk\s][\N\usk\s] -\newphysicsquantity{force}{\m\usk\kg\usk\s\reciprocalsquared}[\N][\N] -\newphysicsquantity{springstiffness}{\kg\usk\s\reciprocalsquared}[\N\per\m][\N\per\m] -\newphysicsquantity{springstretch}{\m} -\newphysicsquantity{area}{\m\squared} -\newphysicsquantity{volume}{\cubic\m} -\newphysicsquantity{linearmassdensity}{\reciprocal\m\usk\kg}[\kg\per\m][\kg\per\m] -\newphysicsquantity{areamassdensity}{\m\reciprocalsquared\usk\kg}[\kg\per\m\squared]% +\newphysicsquantity{gravitationalpotential}% + {\square\m\usk\reciprocalsquare\s}% + [\J\per\kg]% + [\J\per\kg] +\newphysicsquantity{momentum}% + {\m\usk\kg\usk\reciprocal\s}% + [\N\usk\s]% + [\kg\usk\m\per\s] +\newphysicsquantity{impulse}% + {\m\usk\kg\usk\reciprocal\s}% + [\N\usk\s]% + [\N\usk\s] +\newphysicsquantity{force}% + {\m\usk\kg\usk\s\reciprocalsquared}% + [\N]% + [\N] +\newphysicsquantity{springstiffness}% + {\kg\usk\s\reciprocalsquared}% + [\N\per\m]% + [\N\per\m] +\newphysicsquantity{springstretch}% + {\m}% + []% + [] +\newphysicsquantity{area}% + {\m\squared}% + []% + [] +\newphysicsquantity{volume}% + {\cubic\m}% + []% + [] +\newphysicsquantity{linearmassdensity}% + {\reciprocal\m\usk\kg}% + [\kg\per\m]% + [\kg\per\m] +\newphysicsquantity{areamassdensity}% + {\m\reciprocalsquared\usk\kg}% + [\kg\per\m\squared]% [\kg\per\m\squared] -\newphysicsquantity{volumemassdensity}{\m\reciprocalcubed\usk\kg}[\kg\per\m\cubed]% +\newphysicsquantity{volumemassdensity}% + {\m\reciprocalcubed\usk\kg}% + [\kg\per\m\cubed]% [\kg\per\m\cubed] -\newphysicsquantity{youngsmodulus}{\reciprocal\m\usk\kg\usk\s\reciprocalsquared}% - [\N\per\m\squared][\Pa] -\newphysicsquantity{stress}{\reciprocal\m\usk\kg\usk\s\reciprocalsquared}% - [\N\per\m\squared][\Pa] -\newphysicsquantity{pressure}{\reciprocal\m\usk\kg\usk\s\reciprocalsquared}% - [\N\per\m\squared][\Pa] -\newphysicsquantity{strain}{\relax}[\relax][\relax] -\newphysicsquantity{work}{\m\squared\usk\kg\usk\s\reciprocalsquared}[\J][\N\usk\m] -\newphysicsquantity{energy}{\m\squared\usk\kg\usk\s\reciprocalsquared}[\N\usk\m][\J] -\newphysicsquantity{power}{\m\squared\usk\kg\usk\s\reciprocalcubed}[\J\per\s][\W] -\newphysicsquantity{specificheatcapacity}{\J\per\K\usk\kg}[\J\per\K\usk\kg]% +\newphysicsquantity{youngsmodulus}% + {\reciprocal\m\usk\kg\usk\s\reciprocalsquared}% + [\N\per\m\squared]% + [\Pa] +\newphysicsquantity{stress}% + {\reciprocal\m\usk\kg\usk\s\reciprocalsquared}% + [\N\per\m\squared]% + [\Pa] +\newphysicsquantity{pressure}% + {\reciprocal\m\usk\kg\usk\s\reciprocalsquared}% + [\N\per\m\squared]% + [\Pa] +\newphysicsquantity{strain}% + {}% + []% + [] +\newphysicsquantity{work}% + {\m\squared\usk\kg\usk\s\reciprocalsquared}% + [\N\usk\m]% + [\J] +\newphysicsquantity{energy}% + {\m\squared\usk\kg\usk\s\reciprocalsquared}% + [\N\usk\m]% + [\J] +\newphysicsquantity{power}% + {\m\squared\usk\kg\usk\s\reciprocalcubed}% + [\J\per\s]% + [\W] +\newphysicsquantity{specificheatcapacity}% + {\J\per\K\usk\kg}% + [\J\per\K\usk\kg]% [\J\per\K\usk\kg] -\newphysicsquantity{angularvelocity}{\rad\usk\reciprocal\s}[\rad\per\s][\rad\per\s] -\newphysicsquantity{angularacceleration}{\rad\usk\s\reciprocalsquared}% - [\rad\per\s\squared][\rad\per\s\squared] -\newphysicsquantity{angularmomentum}{\m\squared\usk\kg\usk\reciprocal\s}[\J\usk\s]% - [\kg\usk\m\squared\per\s] -\newphysicsquantity{momentofinertia}{\m\squared\usk\kg}[\J\usk\s\squared]% - [\kg\usk\m\squared] -\newphysicsquantity{torque}{\m\squared\usk\kg\usk\s\reciprocalsquared}[\J\per\rad]% - [\N\usk\m] -\newphysicsquantity{entropy}{\m\squared\usk\kg\usk\s\reciprocalsquared\usk\reciprocal\K} - [\J\per\K][\J\per\K] -\newphysicsquantity{wavelength}{\m}[\m][\m] -\newphysicsquantity{wavenumber}{\reciprocal\m}[\per\m][\per\m] -\newphysicsquantity{frequency}{\reciprocal\s}[\hertz][\hertz] -\newphysicsquantity{angularfrequency}{\rad\usk\reciprocal\s}[\rad\per\s][\rad\per\s] -\newphysicsquantity{charge}{\A\usk\s}[\C][\C] -\newphysicsquantity{permittivity} -{\m\reciprocalcubed\usk\reciprocal\kg\usk\s\reciprocalquarted\usk\A\squared}% - [\F\per\m][\C\squared\per\N\usk\m\squared] +\newphysicsquantity{angularvelocity}% + {\rad\usk\reciprocal\s}% + [\rad\per\s]% + [\rad\per\s] +\newphysicsquantity{angularacceleration}% + {\rad\usk\s\reciprocalsquared}% + [\rad\per\s\squared]% + [\rad\per\s\squared] +\newphysicsquantity{momentofinertia}% + {\m\squared\usk\kg}% + [\m\usk\kg\squared]% + [\J\usk\s\squared] +\ifthenelse{\boolean{@optuseradians}} + {% + \newphysicsquantity{angularmomentum}% + {\m\squared\usk\kg\usk\reciprocal\s\usk\reciprocal\rad}% + [\N\usk\m\usk\s\per\rad]% + [\m\squared\usk\kg\usk\reciprocal\s\usk\reciprocal\rad] + \newphysicsquantity{angularimpulse}% + {\m\squared\usk\kg\usk\reciprocal\s\usk\reciprocal\rad}% + [\N\usk\m\usk\s\per\rad]% + [\J\usk\s\per\rad] + \newphysicsquantity{torque}% + {\m\squared\usk\kg\usk\s\reciprocalsquared\usk\reciprocal\rad}% + [\N\usk\m\per\rad]% + [\J\per\rad] + }% + {% + \newphysicsquantity{angularmomentum}% + {\m\squared\usk\kg\usk\reciprocal\s}% + [\N\usk\m\usk\s]% + [\m\squared\usk\kg\usk\reciprocal\s] + \newphysicsquantity{angularimpulse}% + {\m\squared\usk\kg\usk\reciprocal\s}% + [\N\usk\m\usk\s]% + [\J\usk\s] + \newphysicsquantity{torque}% + {\m\squared\usk\kg\usk\s\reciprocalsquared}% + [\N\usk\m]% + [\J] + }% +\newphysicsquantity{entropy}% + {\m\squared\usk\kg\usk\s\reciprocalsquared\usk\reciprocal\K}% + [\J\per\K]% + [\J\per\K] +\newphysicsquantity{wavelength}% + {\m}% + [\m]% + [\m] +\newphysicsquantity{wavenumber}% + {\reciprocal\m}% + [\per\m]% + [\per\m] +\newphysicsquantity{frequency}% + {\reciprocal\s}% + [\hertz]% + [\hertz] +\newphysicsquantity{angularfrequency}% + {\rad\usk\reciprocal\s}% + [\rad\per\s]% + [\rad\per\s] +\newphysicsquantity{charge}% + {\A\usk\s}% + [\C]% + [\C] +\newphysicsquantity{permittivity}% + {\m\reciprocalcubed\usk\reciprocal\kg\usk\s\reciprocalquarted\usk\A\squared}% + [\F\per\m]% + [\C\squared\per\N\usk\m\squared] \newphysicsquantity{permeability}% - {\m\usk\kg\usk\s\reciprocalsquared\usk\A\reciprocalsquared}[\henry\per\m]% + {\m\usk\kg\usk\s\reciprocalsquared\usk\A\reciprocalsquared}% + [\henry\per\m]% [\T\usk\m\per\A] -\newphysicsquantity{electricfield}{\m\usk\kg\usk\s\reciprocalcubed\usk\reciprocal\A}% - [\V\per\m][\N\per\C] -\newphysicsquantity{electricdipolemoment}{\m\usk\s\usk\A}[\C\usk\m][\C\usk\m] +\newphysicsquantity{electricfield}% + {\m\usk\kg\usk\s\reciprocalcubed\usk\reciprocal\A}% + [\V\per\m]% + [\N\per\C] +\newphysicsquantity{electricdipolemoment}% + {\m\usk\s\usk\A}% + [\C\usk\m]% + [\C\usk\m] \newphysicsquantity{electricflux}% {\m\cubed\usk\kg\usk\s\reciprocalcubed\usk\reciprocal\A}% - [\V\usk\m][\N\usk\m\squared\per\C] -\newphysicsquantity{magneticfield}{\kg\usk\s\reciprocalsquared\usk\reciprocal\A}[\T]% + [\V\usk\m]% + [\N\usk\m\squared\per\C] +\newphysicsquantity{magneticfield}% + {\kg\usk\s\reciprocalsquared\usk\reciprocal\A}% + [\T]% [\N\per\C\usk(\m\per\s)] % also \Wb\per\m\squared \newphysicsquantity{magneticflux}% - {\m\squared\usk\kg\usk\s\reciprocalsquared\usk\reciprocal\A}[\volt\usk\s]% + {\m\squared\usk\kg\usk\s\reciprocalsquared\usk\reciprocal\A}% + [\volt\usk\s]% [\T\usk\m\squared] % also \Wb and \J\per\A -\newphysicsquantity{cmagneticfield}{\m\usk\kg\usk\s\reciprocalcubed\usk\reciprocal\A}% - [\V\per\m][\N\per\C] -\newphysicsquantity{linearchargedensity}{\reciprocal\m\usk\s\usk\A}[\C\per\m][\C\per\m] -\newphysicsquantity{areachargedensity}{\reciprocalsquare\m\usk\s\usk\A}% - [\C\per\square\m][\C\per\square\m] -\newphysicsquantity{volumechargedensity}{\reciprocalcubic\m\usk\s\usk\A}% - [\C\per\cubic\m][\C\per\cubic\m] +\newphysicsquantity{cmagneticfield}% + {\m\usk\kg\usk\s\reciprocalcubed\usk\reciprocal\A}% + [\V\per\m]% + [\N\per\C] +\newphysicsquantity{linearchargedensity}% + {\reciprocal\m\usk\s\usk\A}% + [\C\per\m]% + [\C\per\m] +\newphysicsquantity{areachargedensity}% + {\reciprocalsquare\m\usk\s\usk\A}% + [\C\per\square\m]% + [\C\per\square\m] +\newphysicsquantity{volumechargedensity}% + {\reciprocalcubic\m\usk\s\usk\A}% + [\C\per\cubic\m]% + [\C\per\cubic\m] \newphysicsquantity{mobility}% - {\m\squared\usk\kg\usk\s\reciprocalquarted\usk\reciprocal\A}[\m\squared\per\volt\usk\s] + {\m\squared\usk\kg\usk\s\reciprocalquarted\usk\reciprocal\A}% + [\m\squared\per\volt\usk\s]% [(\m\per\s)\per(\N\per\C)] -\newphysicsquantity{numberdensity}{\reciprocalcubic\m}[\per\cubic\m][\per\cubic\m] -\newphysicsquantity{polarizability}{\reciprocal\kg\usk\s\quarted\usk\square\A}% - [\C\usk\square\m\per\V][\C\usk\m\per(\N\per\C)] +\newphysicsquantity{numberdensity}% + {\reciprocalcubic\m}% + [\per\cubic\m]% + [\per\cubic\m] +\newphysicsquantity{polarizability}% + {\reciprocal\kg\usk\s\quarted\usk\square\A}% + [\C\usk\square\m\per\V]% + [\C\usk\m\per(\N\per\C)] \newphysicsquantity{electricpotential}% - {\square\m\usk\kg\usk\reciprocalcubic\s\usk\reciprocal\A}[\J\per\C][\V] -\newphysicsquantity{emf}{\square\m\usk\kg\usk\reciprocalcubic\s\usk\reciprocal\A}% - [\J\per\C][\V] -\newphysicsquantity{dielectricconstant}{}[][] -\newphysicsquantity{indexofrefraction}{}[][] -\newphysicsquantity{relativepermittivity}{}[][] -\newphysicsquantity{relativepermeability}{}[][] -\newphysicsquantity{energydensity}{\m\reciprocaled\usk\kg\usk\reciprocalsquare\s}% - [\J\per\cubic\m][\J\per\cubic\m] -\newphysicsquantity{energyflux}{\kg\usk\s\reciprocalcubed}% - [\W\per\m\squared][\W\per\m\squared] -\newphysicsquantity{electroncurrent}{\reciprocal\s}% - [\ensuremath{\mathrm{e}}\per\s][\ensuremath{\mathrm{e}}\per\s] -\newphysicsquantity{conventionalcurrent}{\A}[\C\per\s][\A] -\newphysicsquantity{magneticdipolemoment}{\square\m\usk\A}[\J\per\T][\A\usk\square\m] -\newphysicsquantity{currentdensity}{\reciprocalsquare\m\usk\A}[\C\usk\s\per\square\m]% + {\square\m\usk\kg\usk\reciprocalcubic\s\usk\reciprocal\A}% + [\J\per\C]% + [\V] +\newphysicsquantity{emf}% + {\square\m\usk\kg\usk\reciprocalcubic\s\usk\reciprocal\A}% + [\J\per\C]% + [\V] +\newphysicsquantity{dielectricconstant}% + {}% + []% + [] +\newphysicsquantity{indexofrefraction}% + {}% + []% + [] +\newphysicsquantity{relativepermittivity}% + {}% + []% + [] +\newphysicsquantity{relativepermeability} + {}% + []% + [] +\newphysicsquantity{energydensity}% + {\m\reciprocaled\usk\kg\usk\reciprocalsquare\s}% + [\J\per\cubic\m]% + [\J\per\cubic\m] +\newphysicsquantity{energyflux}% + {\kg\usk\s\reciprocalcubed}% + [\W\per\m\squared]% + [\W\per\m\squared] +\newphysicsquantity{electroncurrent}% + {\reciprocal\s}% + [\ensuremath{\mathrm{e}}\per\s]% + [\ensuremath{\mathrm{e}}\per\s] +\newphysicsquantity{conventionalcurrent}% + {\A}% + [\C\per\s]% + [\A] +\newphysicsquantity{magneticdipolemoment}% + {\square\m\usk\A}% + [\J\per\T]% + [\A\usk\square\m] +\newphysicsquantity{currentdensity}% + {\reciprocalsquare\m\usk\A}% + [\C\usk\s\per\square\m]% [\A\per\square\m] \newphysicsquantity{capacitance}% - {\reciprocalsquare\m\usk\reciprocal\kg\usk\quartic\s\usk\square\A}[\F][\C\per\V] - % also \C\squared\per\N\usk\m, \s\per\ohm + {\reciprocalsquare\m\usk\reciprocal\kg\usk\quartic\s\usk\square\A}% + [\F]% + [\C\per\V] % also \C\squared\per\N\usk\m, \s\per\ohm \newphysicsquantity{inductance}% - {\square\m\usk\kg\usk\reciprocalsquare\s\usk\reciprocalsquare\A}[\henry]% + {\square\m\usk\kg\usk\reciprocalsquare\s\usk\reciprocalsquare\A}% + [\henry]% [\volt\usk\s\per\A] % also \square\m\usk\kg\per\C\squared, \Wb\per\A \newphysicsquantity{conductivity}% - {\reciprocalcubic\m\usk\reciprocal\kg\usk\cubic\s\usk\square\A}[\siemens\per\m]% + {\reciprocalcubic\m\usk\reciprocal\kg\usk\cubic\s\usk\square\A}% + [\siemens\per\m]% [(\A\per\square\m)\per(\V\per\m)] \newphysicsquantity{resistivity}% - {\cubic\m\usk\kg\usk\reciprocalcubic\s\usk\reciprocalsquare\A}[\ohm\usk\m]% + {\cubic\m\usk\kg\usk\reciprocalcubic\s\usk\reciprocalsquare\A}% + [\ohm\usk\m]% [(\V\per\m)\per(\A\per\square\m)] \newphysicsquantity{resistance}% - {\square\m\usk\kg\usk\reciprocalcubic\s\usk\reciprocalsquare\A}[\V\per\A][\ohm] + {\square\m\usk\kg\usk\reciprocalcubic\s\usk\reciprocalsquare\A}% + [\V\per\A]% + [\ohm] \newphysicsquantity{conductance}% - {\reciprocalsquare\m\usk\reciprocal\kg\usk\cubic\s\usk\square\A}[\A\per\V][\siemens] -\newphysicsquantity{magneticcharge}{\m\usk\A}[\m\usk\A][\m\usk\A] + {\reciprocalsquare\m\usk\reciprocal\kg\usk\cubic\s\usk\square\A}% + [\A\per\V]% + [\siemens] +\newphysicsquantity{magneticcharge}% + {\m\usk\A}% + [\m\usk\A]% + [\m\usk\A] \newcommand*{\lv}{\ensuremath{\left\langle}} \newcommand*{\rv}{\ensuremath{\right\rangle}} \ExplSyntaxOn % Written in LaTeX3 @@ -8462,14 +9286,15 @@ Sshows factors dividing to a sneaky one. {% \clist_set:Nn \l_tmpa_clist { #1 } \ensuremath{% - \sqrt{(\clist_use:Nnnn \l_tmpa_clist { )^2+( } { )^2+( } { )^2+( } )^2 } + \sqrt{\left(\clist_use:Nnnn \l_tmpa_clist { \right)^2+\left( } { \right)^2+ + \left( } { \right)^2+\left( } \right)^2 } }% }% {% \clist_set:Nn \l_tmpa_clist { #1 } \ensuremath{% - \sqrt{(\clist_use:Nnnn \l_tmpa_clist {\;{ #2 })^2+(} {\;{ #2 })^2+(} - {\;{ #2 })^2+(} \;{ #2 })^2} + \sqrt{\left(\clist_use:Nnnn \l_tmpa_clist {\;{ #2 }\right)^2+\left(} {\; + { #2 }\right)^2+\left(} {\;{ #2 }\right)^2+\left(} \;{ #2 }\right)^2} }% }% }% @@ -8483,7 +9308,7 @@ Sshows factors dividing to a sneaky one. {\newcommand*{\vect}[1]{\ensuremath{\vv{\mathrm{#1}}}}} {\newcommand*{\vect}[1]{\ensuremath{\vv{#1}}}}} \ifthenelse{\boolean{@optsingleabsbars}} - {\newcommand*{\magvect}[1]{\ensuremath{\abs{\vect{#1}}}}} + {\newcommand*{\magvect}[1]{\ensuremath{\absof{\vect{#1}}}}} {\newcommand*{\magvect}[1]{\ensuremath{\magof{\vect{#1}}}}} \newcommand*{\magsquaredvect}[1]{\ensuremath{\magvect{#1}\squared}} \newcommand*{\magnvect}[2]{\ensuremath{\magvect{#1}^{#2}}} @@ -8495,6 +9320,15 @@ Sshows factors dividing to a sneaky one. {\newcommand*{\dirvect}[1]{\ensuremath{\widehat{\mathrm{#1}}}}} {\newcommand*{\dirvect}[1]{\ensuremath{\widehat{#1}}}}} \newcommand*{\direction}{\dirvect} +\newcommand*{\componentalong}[2]{\ensuremath{\mathrm{comp}_{#1}{#2}}} +\newcommand*{\expcomponentalong}[2]{\ensuremath{\frac{\vectdotvect{#2}{#1}} +{\magof{#1}}}} +\newcommand*{\ucomponentalong}[2]{\ensuremath{\vectdotvect{#2}{#1}}} +\newcommand*{\projectiononto}[2]{\ensuremath{\mathrm{proj}_{#1}{#2}}} +\newcommand*{\expprojectiononto}[2]{\ensuremath{% + \inparens{\frac{\vectdotvect{#2}{#1}}{\magof{#1}}}\frac{#1}{\magof{#1}}}} +\newcommand*{\uprojectiononto}[2]{\ensuremath{% + \inparens{\vectdotvect{#2}{#1}}#1}} \ifthenelse{\boolean{@optromanvectors}} {\newcommand*{\compvect}[2]{\ensuremath{\ssub{\mathrm{#1}}{\(#2\)}}}} {\newcommand*{\compvect}[2]{\ensuremath{\ssub{#1}{\(#2\)}}}} @@ -8502,6 +9336,15 @@ Sshows factors dividing to a sneaky one. \compvect{#1}{x},% \compvect{#1}{y},% \compvect{#1}{z}\rv}} +\newcommand*{\scompsdirvect}[1]{\ensuremath{\lv% + \compvect{\widehat{#1}}{x},% + \compvect{\widehat{#1}}{y},% + \compvect{\widehat{#1}}{z}\rv}} +\ifthenelse{\boolean{@optromanvectors}} + {\newcommand*{\compdirvect}[2]{\ensuremath{% + \ssub{\widehat{\mathrm{#1}}}{\(#2\)}}}} + {\newcommand*{\compdirvect}[2]{\ensuremath{% + \ssub{\widehat{#1}}{\(#2\)}}}} \newcommand*{\magvectscomps}[1]{\ensuremath{\sqrt{% \compvect{#1}{x}\squared +% \compvect{#1}{y}\squared +% @@ -8515,8 +9358,8 @@ Sshows factors dividing to a sneaky one. \newcommand*{\Ddirvect}[1]{\ensuremath{\Delta\dirvect{#1}}} \newcommand*{\Ddirection}{\Ddirvect} \ifthenelse{\boolean{@optsingleabsbars}} - {\newcommand*{\magdvect}[1]{\ensuremath{\abs{\dvect{#1}}}} - \newcommand*{\magDvect}[1]{\ensuremath{\abs{\Dvect{#1}}}}} + {\newcommand*{\magdvect}[1]{\ensuremath{\absof{\dvect{#1}}}} + \newcommand*{\magDvect}[1]{\ensuremath{\absof{\Dvect{#1}}}}} {\newcommand*{\magdvect}[1]{\ensuremath{\magof{\dvect{#1}}}} \newcommand*{\magDvect}[1]{\ensuremath{\magof{\Dvect{#1}}}}} \newcommand*{\compdvect}[2]{\ensuremath{\mathrm{d}\compvect{#1}{#2}}} @@ -8542,8 +9385,8 @@ Sshows factors dividing to a sneaky one. \compDervect{#1}{y}{#2},% \compDervect{#1}{z}{#2}\rv}} \ifthenelse{\boolean{@optsingleabsbars}} - {\newcommand*{\magdervect}[2]{\ensuremath{\abs{\dervect{#1}{#2}}}} - \newcommand*{\magDervect}[2]{\ensuremath{\abs{\Dervect{#1}{#2}}}}} + {\newcommand*{\magdervect}[2]{\ensuremath{\absof{\dervect{#1}{#2}}}} + \newcommand*{\magDervect}[2]{\ensuremath{\absof{\Dervect{#1}{#2}}}}} {\newcommand*{\magdervect}[2]{\ensuremath{\magof{\dervect{#1}{#2}}}} \newcommand*{\magDervect}[2]{\ensuremath{\magof{\Dervect{#1}{#2}}}}} \newcommand*{\dermagvect}[2]{\ensuremath{\dbyd{\magvect{#1}}{#2}}} @@ -8565,7 +9408,7 @@ Sshows factors dividing to a sneaky one. \compvectsub{#1}{#2}{y},% \compvectsub{#1}{#2}{z}\rv}} \ifthenelse{\boolean{@optsingleabsbars}} - {\newcommand*{\magvectsub}[2]{\ensuremath{\abs{\vectsub{#1}{#2}}}}} + {\newcommand*{\magvectsub}[2]{\ensuremath{\absof{\vectsub{#1}{#2}}}}} {\newcommand*{\magvectsub}[2]{\ensuremath{\magof{\vectsub{#1}{#2}}}}} \newcommand*{\magsquaredvectsub}[2]{\ensuremath{\magvectsub{#1}{#2}\squared}} \newcommand*{\magnvectsub}[3]{\ensuremath{\magvectsub{#1}{#2}^{#3}}} @@ -8594,8 +9437,8 @@ Sshows factors dividing to a sneaky one. \newcommand*{\dervectsub}[3]{\ensuremath{\dbyd{\vectsub{#1}{#2}}{#3}}} \newcommand*{\Dervectsub}[3]{\ensuremath{\DbyD{\vectsub{#1}{#2}}{#3}}} \ifthenelse{\boolean{@optsingleabsbars}} - {\newcommand*{\magdervectsub}[3]{\ensuremath{\abs{\dervectsub{#1}{#2}{#3}}}} - \newcommand*{\magDervectsub}[3]{\ensuremath{\abs{\Dervectsub{#1}{#2}{#3}}}}} + {\newcommand*{\magdervectsub}[3]{\ensuremath{\absof{\dervectsub{#1}{#2}{#3}}}} + \newcommand*{\magDervectsub}[3]{\ensuremath{\absof{\Dervectsub{#1}{#2}{#3}}}}} {\newcommand*{\magdervectsub}[3]{\ensuremath{\magof{\dervectsub{#1}{#2}{#3}}}} \newcommand*{\magDervectsub}[3]{\ensuremath{\magof{\Dervectsub{#1}{#2}{#3}}}}} \newcommand*{\compdervectsub}[4]{\ensuremath{\dbyd{\compvectsub{#1}{#2}{#3}}{#4}}} @@ -8690,26 +9533,29 @@ Sshows factors dividing to a sneaky one. \compDervect{#1}{x}{#2}\compDvect{#3}{x}+% \compDervect{#1}{y}{#2}\compDvect{#3}{y}+% \compDervect{#1}{z}{#2}\compDvect{#3}{z}}} -\newcommand*{\vectcrossvect}[2]{\ensuremath{{#1}\boldsymbol{\times}{#2}}} -\newcommand*{\ltriplecross}[3]{\ensuremath{({#1}\boldsymbol{\times}{#2})% - \boldsymbol{\times}{#3}}} +\newcommand*{\vectcrossvect}[2]{\ensuremath{% + {#1}\boldsymbol{\times}{#2}}} +\newcommand*{\ltriplecross}[3]{\ensuremath{% + \inparens{{#1}\boldsymbol{\times}{#2}}\boldsymbol{\times}{#3}}} \newcommand*{\rtriplecross}[3]{\ensuremath{{#1}\boldsymbol{\times}% - ({#2}\boldsymbol{\times}{#3})}} -\newcommand*{\ltriplescalar}[3]{\ensuremath{{#1}\boldsymbol{\times}{#2}\bullet{#3}}} -\newcommand*{\rtriplescalar}[3]{\ensuremath{{#1}\bullet{#2}\boldsymbol{\times}{#3}}} -\newcommand*{\ezero}{\ensuremath{\msub{\boldsymbol{e}}{0}}} -\newcommand*{\eone}{\ensuremath{\msub{\boldsymbol{e}}{1}}} -\newcommand*{\etwo}{\ensuremath{\msub{\boldsymbol{e}}{2}}} -\newcommand*{\ethree}{\ensuremath{\msub{\boldsymbol{e}}{3}}} -\newcommand*{\efour}{\ensuremath{\msub{\boldsymbol{e}}{4}}} -\newcommand*{\ek}[1]{\ensuremath{\msub{\boldsymbol{e}}{#1}}} + \inparens{{#2}\boldsymbol{\times}{#3}}}} +\newcommand*{\ltriplescalar}[3]{\ensuremath{% + {#1}\boldsymbol{\times}{#2}\bullet{#3}}} +\newcommand*{\rtriplescalar}[3]{\ensuremath{% + {#1}\bullet{#2}\boldsymbol{\times}{#3}}} +\newcommand*{\ezero}{\ensuremath{\boldsymbol{e}_0}} +\newcommand*{\eone}{\ensuremath{\boldsymbol{e}_1}} +\newcommand*{\etwo}{\ensuremath{\boldsymbol{e}_2}} +\newcommand*{\ethree}{\ensuremath{\boldsymbol{e}_3}} +\newcommand*{\efour}{\ensuremath{\boldsymbol{e}_4}} +\newcommand*{\ek}[1]{\ensuremath{\boldsymbol{e}_{#1}}} \newcommand*{\e}{\ek} -\newcommand*{\uezero}{\ensuremath{\msub{\widehat{\boldsymbol{e}}}{0}}} -\newcommand*{\ueone}{\ensuremath{\msub{\widehat{\boldsymbol{e}}}{1}}} -\newcommand*{\uetwo}{\ensuremath{\msub{\widehat{\boldsymbol{e}}}{2}}} -\newcommand*{\uethree}{\ensuremath{\msub{\widehat{\boldsymbol{e}}}{3}}} -\newcommand*{\uefour}{\ensuremath{\msub{\widehat{\boldsymbol{e}}}{4}}} -\newcommand*{\uek}[1]{\ensuremath{\msub{\widehat{\boldsymbol{e}}}{#1}}} +\newcommand*{\uezero}{\ensuremath{\widehat{\boldsymbol{e}}_0}} +\newcommand*{\ueone}{\ensuremath{\widehat{\boldsymbol{e}}_1}} +\newcommand*{\uetwo}{\ensuremath{\widehat{\boldsymbol{e}}_2}} +\newcommand*{\uethree}{\ensuremath{\widehat{\boldsymbol{e}}_3}} +\newcommand*{\uefour}{\ensuremath{\widehat{\boldsymbol{e}}_4}} +\newcommand*{\uek}[1]{\ensuremath{\widehat{\boldsymbol{e}}_{#1}}} \newcommand*{\ue}{\uek} \newcommand*{\ezerozero}{\ek{00}} \newcommand*{\ezeroone}{\ek{01}} @@ -8739,6 +9585,13 @@ Sshows factors dividing to a sneaky one. \newcommand*{\eufour}{\ensuremath{\boldsymbol{e}^4}} \newcommand*{\euk}[1]{\ensuremath{\boldsymbol{e}^{#1}}} \newcommand*{\eu}{\euk} +\newcommand*{\ueuzero}{\ensuremath{\widehat{\boldsymbol{e}}^0}} +\newcommand*{\ueuone}{\ensuremath{\widehat{\boldsymbol{e}}^1}} +\newcommand*{\ueutwo}{\ensuremath{\widehat{\boldsymbol{e}}^2}} +\newcommand*{\ueuthree}{\ensuremath{\widehat{\boldsymbol{e}}^3}} +\newcommand*{\ueufour}{\ensuremath{\widehat{\boldsymbol{e}}^4}} +\newcommand*{\ueuk}[1]{\ensuremath{\widehat{\boldsymbol{e}}^{#1}}} +\newcommand*{\ueu}{\ueuk} \newcommand*{\euzerozero}{\euk{00}} \newcommand*{\euzeroone}{\euk{01}} \newcommand*{\euzerotwo}{\euk{02}} @@ -8760,12 +9613,12 @@ Sshows factors dividing to a sneaky one. \newcommand*{\eufourtwo}{\euk{42}} \newcommand*{\eufourthree}{\euk{43}} \newcommand*{\eufourfour}{\euk{44}} -\newcommand*{\gzero}{\ensuremath{\msub{\boldsymbol{\gamma}}{0}}} -\newcommand*{\gone}{\ensuremath{\msub{\boldsymbol{\gamma}}{1}}} -\newcommand*{\gtwo}{\ensuremath{\msub{\boldsymbol{\gamma}}{2}}} -\newcommand*{\gthree}{\ensuremath{\msub{\boldsymbol{\gamma}}{3}}} -\newcommand*{\gfour}{\ensuremath{\msub{\boldsymbol{\gamma}}{4}}} -\newcommand*{\gk}[1]{\ensuremath{\msub{\boldsymbol{\gamma}}{#1}}} +\newcommand*{\gzero}{\ensuremath{\boldsymbol{\gamma}_0}} +\newcommand*{\gone}{\ensuremath{\boldsymbol{\gamma}_1}} +\newcommand*{\gtwo}{\ensuremath{\boldsymbol{\gamma}_2}} +\newcommand*{\gthree}{\ensuremath{\boldsymbol{\gamma}_3}} +\newcommand*{\gfour}{\ensuremath{\boldsymbol{\gamma}_4}} +\newcommand*{\gk}[1]{\ensuremath{\boldsymbol{\gamma}_{#1}}} \newcommand*{\g}{\gk} \newcommand*{\gzerozero}{\gk{00}} \newcommand*{\gzeroone}{\gk{01}} @@ -8864,6 +9717,15 @@ Sshows factors dividing to a sneaky one. \colvector{\msub{#2}{0},\msub{#2}{1},\msub{#2}{2},\msub{#2}{3}}% }% }% +\newcommandx{\scompsCvect}[2][1,usedefault]{% + \ifthenelse{\equal{#1}{}}% + {% + \colvector{\msup{#2}{1},\msup{#2}{2},\msup{#2}{3}}% + }% + {% + \colvector{\msup{#2}{0},\msup{#2}{1},\msup{#2}{2},\msup{#2}{3}}% + }% +}% \newcommandx{\scompsrvect}[2][1,usedefault]{% \ifthenelse{\equal{#1}{}}% {% @@ -8873,131 +9735,314 @@ Sshows factors dividing to a sneaky one. \rowvector[,]{\msub{#2}{0},\msub{#2}{1},\msub{#2}{2},\msub{#2}{3}}% }% }% -\newphysicsconstant{oofpez}{\ensuremath{\frac{1} -{\phantom{_o}4\pi\epsilon_0}}}{\mi@p{9}{8.9876}\timestento{9}} -{\m\cubed\usk\kg\usk\reciprocalquartic\s\usk\A\reciprocalsquared}[\m\per\farad] -[\newton\usk\m\squared\per\coulomb\squared] +\newcommandx{\scompsRvect}[2][1,usedefault]{% + \ifthenelse{\equal{#1}{}}% + {% + \rowvector[,]{\msup{#2}{1},\msup{#2}{2},\msup{#2}{3}}% + }% + {% + \rowvector[,]{\msup{#2}{0},\msup{#2}{1},\msup{#2}{2},\msup{#2}{3}}% + }% +}% +\newcommand*{\bra}[1]{\ensuremath{\left\langle{#1}\right\lvert}} +\newcommand*{\ket}[1]{\ensuremath{\left\lvert{#1}\right\rangle}} +\newcommand*{\bracket}[2]{\ensuremath{\left\langle{#1}\!\!\right.% + \left\lvert{#2}\right\rangle}} +\newphysicsconstant{oofpez}% + {\ensuremath{\frac{1}{\phantom{_o}4\pi\epsilon_0}}}% + {\mi@p{9}{8.9876}\timestento{9}}% + {\m\cubed\usk\kg\usk\reciprocalquartic\s\usk\A\reciprocalsquared}% + [\m\per\farad]% + [\newton\usk\m\squared\per\coulomb\squared] +\newphysicsconstant{oofpezcs}% + {\ensuremath{\frac{1}{\phantom{_o}4\pi\epsilon_0 c^2\phantom{_o}}}}% + {\tento{-7}}% + {\m\usk\kg\usk\s\reciprocalsquared\usk\A\reciprocalsquared}% + [\T\usk\m\squared]% + [\N\usk\s\squared\per\C\squared] +\newphysicsconstant{vacuumpermittivity}% + {\ensuremath{\epsilon_0}}% + {\mi@p{9.0}{8.8542}\timestento{-12}}% + {\m\reciprocalcubed\usk\reciprocal\kg\usk\s\quarted\usk\A\squared}% + [\F\per\m]% + [\C\squared\per\N\usk\m\squared] +\newphysicsconstant{mzofp}% + {\ensuremath{\frac{\phantom{_oo}\mu_0\phantom{_o}}{4\pi}}}% + {\tento{-7}}% + {\m\usk\kg\usk\s\reciprocalsquared\usk\A\reciprocalsquared}% + [\henry\per\m]% + [\tesla\usk\m\per\A] +\newphysicsconstant{vacuumpermeability}% + {\ensuremath{\mu_0}}% + {4\pi\timestento{-7}}% + {\m\usk\kg\usk\s\reciprocalsquared\usk\A\reciprocalsquared}% + [\henry\per\m]% + [\T\usk\m\per\A] +\newphysicsconstant{boltzmann}% + {\ensuremath{k_B}}% + {\mi@p{1.4}{1.3806}\timestento{-23}}% + {\m\squared\usk\kg\usk\reciprocalsquare\s\usk\reciprocal\K}% + [\joule\per\K]% + [\J\per\K] +\newphysicsconstant{boltzmannineV}% + {\ensuremath{k_B}}% + {\mi@p{8.6}{8.6173}\timestento{-5}}% + {\eV\usk\reciprocal\K}% + [\eV\per\K]% + [\eV\per\K] +\newphysicsconstant{stefanboltzmann}% + {\ensuremath{\sigma}}% + {\mi@p{5.7}{5.6704}\timestento{-8}}% + {\kg\usk\s\reciprocalcubed\usk\K\reciprocalquarted}% + [\W\per\m\squared\usk\K^4]% + [\W\per\m\squared\usk\K\quarted] +\newphysicsconstant{planck}% + {\ensuremath{h}}% + {\mi@p{6.6}{6.6261}\timestento{-34}}% + {\m\squared\usk\kg\usk\reciprocal\s}% + [\J\usk\s]% + [\J\usk\s] +\newphysicsconstant{planckineV}% + {\ensuremath{h}}% + {\mi@p{4.1}{4.1357}\timestento{-15}}% + {\eV\usk\s}% + [\eV\usk\s]% + [\eV\usk\s] +\newphysicsconstant{planckbar}% + {\ensuremath{\hslash}}% + {\mi@p{1.1}{1.0546}\timestento{-34}}% + {\m\squared\usk\kg\usk\reciprocal\s}% + [\J\usk\s]% + [\J\usk\s] +\newphysicsconstant{planckbarineV}% + {\ensuremath{\hslash}}% + {\mi@p{6.6}{6.5821}\timestento{-16}}% + {\eV\usk\s}% + [\eV\usk\s]% + [\eV\usk\s] +\newphysicsconstant{planckc}% + {\ensuremath{hc}}% + {\mi@p{2.0}{1.9864}\timestento{-25}}% + {\m\cubed\usk\kg\usk\reciprocalsquare\s}% + [\J\usk\m]% + [\J\usk\m] +\newphysicsconstant{planckcineV}% + {\ensuremath{hc}}% + {\mi@p{2.0}{1.9864}\timestento{-25}}% + {\eV\usk\text{n}\m}% + [\eV\usk\text{n}\m]% + [\eV\usk\text{n}\m] +\newphysicsconstant{rydberg}% + {\ensuremath{\msub{R}{\infty}}}% + {\mi@p{1.1}{1.0974}\timestento{7}}% + {\reciprocal\m}% + [\reciprocal\m]% + [\reciprocal\m] +\newphysicsconstant{bohrradius}% + {\ensuremath{a_0}}% + {\mi@p{5.3}{5.2918}\timestento{-11}}% + {\m}% + [\m]% + [\m] +\newphysicsconstant{finestructure}% + {\ensuremath{\alpha}}% + {\mi@p{\frac{1}{137}}{7.2974\timestento{-3}}}% + {}% + []% + [] +\newphysicsconstant{avogadro}% + {\ensuremath{N_A}}% + {\mi@p{6.0}{6.0221}\timestento{23}}% + {\reciprocal\mol}% + [\reciprocal\mol]% + [\reciprocal\mol] +\newphysicsconstant{universalgrav}% + {\ensuremath{G}}% + {\mi@p{6.7}{6.6738}\timestento{-11}}% + {\m\cubed\usk\reciprocal\kg\usk\s\reciprocalsquared}% + [\J\usk\m\per\kg\squared]% + [\N\usk\m\squared\per\kg\squared] +\newphysicsconstant{surfacegravfield}% + {\ensuremath{g}}% + {\mi@p{9.8}{9.80}}% + {\m\usk\s\reciprocalsquared}% + [\N\per\kg]% + [\N\per\kg] +\newphysicsconstant{clight}% + {\ensuremath{c}}% + {\mi@p{3}{2.9979}\timestento{8}}% + {\m\usk\reciprocal\s}% + [\m\per\s]% + [\m\per\s] +\newphysicsconstant{clightinfeet}% + {\ensuremath{c}}% + {\mi@p{1}{0.9836}}% + {\text{ft}\usk\reciprocal{\text{n}\s}}% + [\text{ft}\per\text{n}\s]% + [\text{ft}\per\mathrm{n}\s] +\newphysicsconstant{Ratom}% + {\ensuremath{r_{\text{atom}}}}% + {\tento{-10}}% + {\m}% + [\m]% + [\m] +\newphysicsconstant{Mproton}% + {\ensuremath{m_p}}% + {\mi@p{1.7}{1.6726}\timestento{-27}}% + {\kg}% + [\kg]% + [\kg] +\newphysicsconstant{Mneutron}% + {\ensuremath{m_n}}% + {\mi@p{1.7}{1.6749}\timestento{-27}}% + {\kg}% + [\kg]% + [\kg] +\newphysicsconstant{Mhydrogen}% + {\ensuremath{m_H}}% + {\mi@p{1.7}{1.6737}\timestento{-27}}% + {\kg}% + [\kg]% + [\kg] +\newphysicsconstant{Melectron}% + {\ensuremath{m_e}}% + {\mi@p{9.1}{9.1094}\timestento{-31}}% + {\kg}% + [\kg]% + [\kg] +\newphysicsconstant{echarge}% + {\ensuremath{e}}% + {\mi@p{1.6}{1.6022}\timestento{-19}}% + {\A\usk\s}% + [\C]% + [\C] +\newphysicsconstant{Qelectron}% + {\ensuremath{Q_e}}% + {-\echargevalue}% + {\A\usk\s}% + [\C]% + [\C] +\newphysicsconstant{qelectron}% + {\ensuremath{q_e}}% + {-\echargevalue}% + {\A\usk\s}% + [\C]% + [\C] +\newphysicsconstant{Qproton}% + {\ensuremath{Q_p}}% + {+\echargevalue}% + {\A\usk\s}% + [\C]% + [\C] +\newphysicsconstant{qproton}% + {\ensuremath{q_p}}% + {+\echargevalue}% + {\A\usk\s}% + [\C]% + [\C] +\newphysicsconstant{MEarth}% + {\ensuremath{M_{\text{Earth}}}}% + {\mi@p{6.0}{5.9736}\timestento{24}}% + {\kg}% + [\kg]% + [\kg] +\newphysicsconstant{MMoon}% + {\ensuremath{M_{\text{Moon}}}}% + {\mi@p{7.3}{7.3459}\timestento{22}}% + {\kg}% + [\kg]% + [\kg] +\newphysicsconstant{MSun}% + {\ensuremath{M_{\text{Sun}}}}% + {\mi@p{2.0}{1.9891}\timestento{30}}% + {\kg}% + [\kg]% + [\kg] +\newphysicsconstant{REarth}% + {\ensuremath{R_{\text{Earth}}}}% + {\mi@p{6.4}{6.3675}\timestento{6}}% + {\m}% + [\m]% + [\m] +\newphysicsconstant{RMoon}% + {\ensuremath{R_{\text{Moon}}}}% + {\mi@p{1.7}{1.7375}\timestento{6}}% + {\m}% + [\m]% + [\m] +\newphysicsconstant{RSun}% + {\ensuremath{R_{\text{Sun}}}}% + {\mi@p{7.0}{6.9634}\timestento{8}}% + {\m}% + [\m]% + [\m] +\newphysicsconstant{ESdist}% + {\magvectsub{r}{ES}}% + {\mi@p{1.5}{1.4960}\timestento{11}}% + {\m}% + [\m]% + [\m] +\newphysicsconstant{SEdist}% + {\magvectsub{r}{SE}}% + {\mi@p{1.5}{1.4960}\timestento{11}}% + {\m}% + [\m]% + [\m] +\newphysicsconstant{EMdist}% + {\magvectsub{r}{EM}}% + {\mi@p{3.8}{3.8440}\timestento{8}}% + {\m}% + [\m]% + [\m] +\newphysicsconstant{MEdist}% + {\magvectsub{r}{ME}}% + {\mi@p{3.8}{3.8440}\timestento{8}}% + {\m}% + [\m]% + [\m] +\newphysicsconstant{LSun}% + {\ensuremath{L_{\text{Sun}}}}% + {\mi@p{3.8}{3.8460}\timestento{26}}% + {\m\squared\usk\kg\usk\s\reciprocalcubed}% + [\W] + [\J\per\s] +\newphysicsconstant{TSun}% + {\ensuremath{T_{\text{Sun}}}}% + {\mi@p{5800}{5778}}% + {\K}% + [\K]% + [\K] +\newphysicsconstant{MagSun}% + {\ensuremath{M_{\text{Sun}}}}% + {+4.83}% + {}% + []% + [] +\newphysicsconstant{magSun}% + {\ensuremath{m_{\text{Sun}}}}% + {-26.74}% + {}% + []% + [] \newcommand*{\coulombconstant}{\oofpez} -\newphysicsconstant{oofpezcs}{\ensuremath{\frac{1} -{\phantom{_o}4\pi\epsilon_0 c^2\phantom{_o}}}}{\tento{-7}} -{\m\usk\kg\usk\s\reciprocalsquared\usk\A\reciprocalsquared} -[\T\usk\m\squared][\N\usk\s\squared\per\C\squared] \newcommand*{\altcoulombconstant}{\oofpezcs} -\newphysicsconstant{vacuumpermittivity}{\ensuremath{\epsilon_0}} -{\mi@p{9.0}{8.8542}\timestento{-12}} -{\m\reciprocalcubed\usk\reciprocal\kg\usk\s\quarted\usk\A\squared}[\F\per\m] -[\C\squared\per\N\usk\m\squared] -\newphysicsconstant{mzofp} -{\ensuremath{\frac{\phantom{_oo}\mu_0\phantom{_o}}{4\pi}}} -{\tento{-7}}{\m\usk\kg\usk\s\reciprocalsquared\usk\A\reciprocalsquared} -[\henry\per\m][\tesla\usk\m\per\A] \newcommand*{\biotsavartconstant}{\mzofp} -\newphysicsconstant{vacuumpermeability}{\ensuremath{\mu_0}} -{4\pi\timestento{-7}}{\m\usk\kg\usk\s\reciprocalsquared\usk\A\reciprocalsquared} -[\henry\per\m][\T\usk\m\per\A] -\newphysicsconstant{boltzmann}{\ensuremath{k_B}} -{\mi@p{1.4}{1.3806}\timestento{-23}} -{\m\squared\usk\kg\usk\reciprocalsquare\s\usk\reciprocal\K}[\joule\per\K][\J\per\K] \newcommand*{\boltzmannconstant}{\boltzmann} -\newphysicsconstant{boltzmannineV}{\ensuremath{k_B}} -{\mi@p{8.6}{8.6173}\timestento{-5}} -{\eV\usk\reciprocal\K}[\eV\per\K][\eV\per\K] -\newphysicsconstant{stefanboltzmann}{\ensuremath{\sigma}} -{\mi@p{5.7}{5.6704}\timestento{-8}} -{\kg\usk\s\reciprocalcubed\usk\K\reciprocalquarted}[\W\per\m\squared\usk\K^4] -[\W\per\m\squared\usk\K\quarted] \newcommand*{\stefanboltzmannconstant}{\stefanboltzmann} -\newphysicsconstant{planck}{\ensuremath{h}}{\mi@p{6.6}{6.6261}\timestento{-34}} -{\m\squared\usk\kg\usk\reciprocal\s}[\J\usk\s][\J\usk\s] \newcommand*{\planckconstant}{\planck} -\newphysicsconstant{planckineV}{\ensuremath{h}}{\mi@p{4.1}{4.1357}\timestento{-15}} -{\eV\usk\s}[\eV\usk\s][\eV\usk\s] -\newphysicsconstant{planckbar}{\ensuremath{\hslash}}{\mi@p{1.1}{1.0546}\timestento{-34}} -{\m\squared\usk\kg\usk\reciprocal\s}[\J\usk\s][\J\usk\s] \newcommand*{\reducedplanckconstant}{\planckbar} -\newphysicsconstant{planckbarineV}{\ensuremath{\hslash}} -{\mi@p{6.6}{6.5821}\timestento{-16}}{\eV\usk\s}[\eV\usk\s][\eV\usk\s] -\newphysicsconstant{planckc}{\ensuremath{hc}}{\mi@p{2.0}{1.9864}\timestento{-25}} -{\m\cubed\usk\kg\usk\reciprocalsquare\s}[\J\usk\m][\J\usk\m] \newcommand*{\planckconstanttimesc}{\planckc} -\newphysicsconstant{planckcineV}{\ensuremath{hc}} -{\mi@p{2.0}{1.9864}\timestento{-25}}{\eV\usk\text{n}\m}[\eV\usk\text{n}\m] -[\eV\usk\text{n}\m] -\newphysicsconstant{rydberg}{\ensuremath{\msub{R}{\infty}}} -{\mi@p{1.1}{1.0974}\timestento{7}}{\reciprocal\m}[\reciprocal\m][\reciprocal\m] \newcommand*{\rydbergconstant}{\rydberg} -\newphysicsconstant{bohrradius}{\ensuremath{a_0}}{\mi@p{5.3}{5.2918}\timestento{-11}} -{\m}[\m][\m] -\newphysicsconstant{finestructure}{\ensuremath{\alpha}} -{\mi@p{\frac{1}{137}}{7.2974\timestento{-3}}}{\relax} \newcommand*{\finestructureconstant}{\finestructure} -\newphysicsconstant{avogadro}{\ensuremath{N_A}} -{\mi@p{6.0}{6.0221}\timestento{23}}{\reciprocal\mol}[\reciprocal\mol][\reciprocal\mol] \newcommand*{\avogadroconstant}{\avogadro} -\newphysicsconstant{universalgrav}{\ensuremath{G}}{\mi@p{6.7}{6.6738}\timestento{-11}} -{\m\cubed\usk\reciprocal\kg\usk\s\reciprocalsquared}[\J\usk\m\per\kg\squared] -[\N\usk\m\squared\per\kg\squared] \newcommand*{\universalgravitationalconstant}{\universalgrav} -\newphysicsconstant{surfacegravfield}{\ensuremath{g}}{\mi@p{9.8}{9.80}} -{\m\usk\s\reciprocalsquared}[\N\per\kg][\N\per\kg] \newcommand*{\earthssurfacegravitationalfield}{\surfacegravfield} -\newphysicsconstant{clight}{\ensuremath{c}} -{\mi@p{3}{2.9979}\timestento{8}}{\m\usk\reciprocal\s}[\m\per\s][\m\per\s] \newcommand*{\photonconstant}{\clight} -\newphysicsconstant{clightinfeet}{\ensuremath{c}}{\mi@p{1}{0.9836}} -{\text{ft}\usk\reciprocal{\text{n}\s}}[\text{ft}\per\text{n}\s] -[\text{ft}\per\mathrm{n}\s] -\newphysicsconstant{Ratom}{\ensuremath{r_{\text{atom}}}}{\tento{-10}}{\m}[\m][\m] -\newphysicsconstant{Mproton}{\ensuremath{m_p}} -{\mi@p{1.7}{1.6726}\timestento{-27}}{\kg}[\kg][\kg] -\newphysicsconstant{Mneutron}{\ensuremath{m_n}} -{\mi@p{1.7}{1.6749}\timestento{-27}}{\kg}[\kg][\kg] -\newphysicsconstant{Mhydrogen}{\ensuremath{m_H}} -{\mi@p{1.7}{1.6737}\timestento{-27}}{\kg}[\kg][\kg] -\newphysicsconstant{Melectron}{\ensuremath{m_e}} -{\mi@p{9.1}{9.1094}\timestento{-31}}{\kg}[\kg][\kg] -\newphysicsconstant{echarge}{\ensuremath{e}} -{\mi@p{1.6}{1.6022}\timestento{-19}}{\A\usk\s}[\C][\C] \newcommand*{\elementarycharge}{\echarge} -\newphysicsconstant{Qelectron}{\ensuremath{Q_e}}{-\echargevalue} -{\A\usk\s}[\C][\C] -\newphysicsconstant{qelectron}{\ensuremath{q_e}}{-\echargevalue} -{\A\usk\s}[\C][\C] -\newphysicsconstant{Qproton}{\ensuremath{Q_p}}{+\echargevalue} -{\A\usk\s}[\C][\C] -\newphysicsconstant{qproton}{\ensuremath{q_p}}{+\echargevalue} -{\A\usk\s}[\C][\C] -\newphysicsconstant{MEarth}{\ensuremath{M_{\text{Earth}}}} -{\mi@p{6.0}{5.9736}\timestento{24}}{\kg}[\kg][\kg] -\newphysicsconstant{MMoon}{\ensuremath{M_{\text{Moon}}}} -{\mi@p{7.3}{7.3459}\timestento{22}}{\kg}[\kg][\kg] -\newphysicsconstant{MSun}{\ensuremath{M_{\text{Sun}}}} -{\mi@p{2.0}{1.9891}\timestento{30}} -{\kg}[\kg][\kg] -\newphysicsconstant{REarth}{\ensuremath{R_{\text{Earth}}}} -{\mi@p{6.4}{6.3675}\timestento{6}}{\m}[\m][\m] -\newphysicsconstant{RMoon}{\ensuremath{R_{\text{Moon}}}} -{\mi@p{1.7}{1.7375}\timestento{6}}{\m}[\m][\m] -\newphysicsconstant{RSun}{\ensuremath{R_{\text{Sun}}}}{\mi@p{7.0}{6.9634}\timestento{8}} -{\m}[\m][\m] -\newphysicsconstant{ESdist}{\magvectsub{r}{ES}}{\mi@p{1.5}{1.4960}\timestento{11}}{\m} -[\m][\m] -\newphysicsconstant{SEdist}{\magvectsub{r}{SE}}{\mi@p{1.5}{1.4960}\timestento{11}}{\m} -[\m][\m] \newcommand*{\EarthSundistance}{\ESdist} \newcommand*{\SunEarthdistance}{\SEdist} -\newphysicsconstant{EMdist}{\magvectsub{r}{EM}} -{\mi@p{3.8}{3.8440}\timestento{8}}{\m}[\m][\m] -\newphysicsconstant{MEdist}{\magvectsub{r}{ME}} -{\mi@p{3.8}{3.8440}\timestento{8}}{\m}[\m][\m] \newcommand*{\EarthMoondistance}{\ESdist} \newcommand*{\MoonEarthdistance}{\SEdist} -\newphysicsconstant{LSun}{\ensuremath{L_{\text{Sun}}}} -{\mi@p{3.8}{3.8460}\timestento{26}}{\m\squared\usk\kg\usk\s\reciprocalcubed}[\W] -[\J\per\s] -\newphysicsconstant{TSun}{\ensuremath{T_{\text{Sun}}}}{\mi@p{5800}{5778}}{\K}[\K][\K] -\newphysicsconstant{MagSun}{\ensuremath{M_{\text{Sun}}}}{+4.83}{}[][] -\newphysicsconstant{magSun}{\ensuremath{m_{\text{Sun}}}}{-26.74}{}[][] \newcommand*{\Lstar}[1][\(\star\)]{\ensuremath{L_{\text{#1}}}\xspace} \newcommand*{\Lsolar}{\ensuremath{\Lstar[\(\odot\)]}\xspace} \newcommand*{\Tstar}[1][\(\star\)]{\ensuremath{T_{\text{#1}}}\xspace} @@ -9057,15 +10102,16 @@ Sshows factors dividing to a sneaky one. \newcommand*{\foureighths}{\ensuremath{\frac{4}{8}}\xspace} \newcommand*{\fourninths}{\ensuremath{\frac{4}{9}}\xspace} \newcommand*{\fourtenths}{\ensuremath{\frac{4}{10}}\xspace} -\newcommand*{\sumoverall}[1]{\ensuremath{\displaystyle\sum_{\substack{\text{\tiny{all }} - \text{\tiny{{#1}}}}}}} +\newcommand*{\sumoverall}[1]{\ensuremath{\displaystyle + \sum_{\substack{\text{\tiny{all }}\text{\tiny{{#1}}}}}}} \newcommand*{\dx}[1]{\ensuremath{\,\mathrm{d}{#1}}} -\newcommand*{\evalfromto}[3]{\ensuremath{\Bigg.{#1}\Bigg\rvert_{#2}^{#3}}} +\newcommand*{\evalfromto}[3]{\ensuremath{% + \Bigg.{#1}\Bigg\rvert_{#2}^{#3}}} \newcommand*{\evalat}[2]{\ensuremath{\Bigg.{#1}\Bigg\rvert_{#2}}} \newcommand*{\evaluatedat}[1]{\ensuremath{\Bigg.\Bigg\rvert_{#1}}} \newcommandx{\integral}[4][1,2,usedefault]{\ensuremath{% - \int_{\ifthenelse{\equal{#1}{}}{}{#4=#1}}^{\ifthenelse{\equal{#2}{}}{}{#4=#2}}} - {#3}\dx{#4}} + \int_{\ifthenelse{\equal{#1}{}}{}{#4=#1}}^{\ifthenelse{% + \equal{#2}{}}{}{#4=#2}}}{#3}\dx{#4}} \newcommand*{\opensurfaceintegral}[2]{\ensuremath{% \iint\nolimits_{#1}\vectdotvect{#2}{\dirvect{n}}\dx{A}}} \newcommand*{\closedsurfaceintegral}[2]{\ensuremath{% @@ -9074,41 +10120,64 @@ Sshows factors dividing to a sneaky one. \int\nolimits_{#1}\vectdotvect{#2}{\dirvect{t}}\dx{\ell}}} \newcommand*{\closedlineintegral}[2]{\ensuremath{% \oint\nolimits_{#1}\vectdotvect{#2}{\dirvect{t}}\dx{\ell}}} -\newcommand*{\volumeintegral}[2]{\ensuremath{\iiint\nolimits_{#1}{#2}\dx{V}}} -\newcommandx{\dbydt}[1][1]{\ensuremath{\frac{\mathrm{d}{#1}}{\mathrm{d}t}}} -\newcommandx{\DbyDt}[1][1]{\ensuremath{\frac{\Delta{#1}}{\Delta t}}} -\newcommandx{\ddbydt}[1][1]{\ensuremath{\frac{\mathrm{d}^{2}{#1}}{\mathrm{d}t^{2}}}} -\newcommandx{\DDbyDt}[1][1]{\ensuremath{\frac{\Delta^{2}{#1}}{\Delta t^{2}}}} -\newcommandx{\pbypt}[1][1]{\ensuremath{\frac{\partial{#1}}{\partial t}}} -\newcommandx{\ppbypt}[1][1]{\ensuremath{\frac{\partial^{2}{#1}}{\partial t^{2}}}} -\newcommand*{\dbyd}[2]{\ensuremath{\frac{\mathrm{d}{#1}}{\mathrm{d}{#2}}}} -\newcommand*{\DbyD}[2]{\ensuremath{\frac{\Delta{#1}}{\Delta{#2}}}} -\newcommand*{\ddbyd}[2]{\ensuremath{\frac{\mathrm{d}^{2}{#1}}{\mathrm{d}{#2}^{2}}}} -\newcommand*{\DDbyD}[2]{\ensuremath{\frac{\Delta^{2}{#1}}{\Delta{#2}^{2}}}} -\newcommand*{\pbyp}[2]{\ensuremath{\frac{\partial{#1}}{\partial{#2}}}} -\newcommand*{\ppbyp}[2]{\ensuremath{\frac{\partial^{2}{#1}}{\partial{#2}^{2}}}} +\newcommand*{\volumeintegral}[2]{\ensuremath{% + \iiint\nolimits_{#1}{#2}\dx{V}}} +\newcommandx{\dbydt}[1][1]{\ensuremath{% + \frac{\mathrm{d}{#1}}{\mathrm{d}t}}} +\newcommandx{\DbyDt}[1][1]{\ensuremath{% + \frac{\Delta{#1}}{\Delta t}}} +\newcommandx{\ddbydt}[1][1]{\ensuremath{% + \frac{\mathrm{d}^{2}{#1}}{\mathrm{d}t^{2}}}} +\newcommandx{\DDbyDt}[1][1]{\ensuremath{% + \frac{\Delta^{2}{#1}}{\Delta t^{2}}}} +\newcommandx{\pbypt}[1][1]{\ensuremath{% + \frac{\partial{#1}}{\partial t}}} +\newcommandx{\ppbypt}[1][1]{\ensuremath{% + \frac{\partial^{2}{#1}}{\partial t^{2}}}} +\newcommand*{\dbyd}[2]{\ensuremath{\frac{% + \mathrm{d}{#1}}{\mathrm{d}{#2}}}} +\newcommand*{\DbyD}[2]{\ensuremath{\frac{% + \Delta{#1}}{\Delta{#2}}}} +\newcommand*{\ddbyd}[2]{\ensuremath{% + \frac{\mathrm{d}^{2}{#1}}{\mathrm{d}{#2}^{2}}}} +\newcommand*{\DDbyD}[2]{\ensuremath{% + \frac{\Delta^{2}{#1}}{\Delta{#2}^{2}}}} +\newcommand*{\pbyp}[2]{\ensuremath{% + \frac{\partial{#1}}{\partial{#2}}}} +\newcommand*{\ppbyp}[2]{\ensuremath{% + \frac{\partial^{2}{#1}}{\partial{#2}^{2}}}} \newcommand*{\seriesfofx}{\ensuremath{% -f(x) \approx f(a) + \frac{f^\prime (a)}{1!}(x-a) + \frac{f^{\prime\prime}(a)}{2!}(x-a)^2 -+ \frac{f^{\prime\prime\prime}(a)}{3!}(x-a)^3 + \ldots}\xspace} + f(x) \approx f(a) + \frac{f^\prime (a)}{1!}(x-a) + \frac{f^{\prime\prime}(a)}{2!} + (x-a)^2 + \frac{f^{\prime\prime\prime}(a)}{3!}(x-a)^3 + \ldots}\xspace} \newcommand*{\seriesexpx}{\ensuremath{% -e^x \approx 1 + x + \frac{x^2}{2!} + \frac{x^3}{3!} + \ldots}\xspace} + e^x \approx 1 + x + \frac{x^2}{2!} + \frac{x^3}{3!} + \ldots}\xspace} \newcommand*{\seriessinx}{\ensuremath{% -\sin x \approx x - \frac{x^3}{3!} + \frac{x^5}{5!} - \ldots}\xspace} + \sin x \approx x - \frac{x^3}{3!} + \frac{x^5}{5!} - \ldots}\xspace} \newcommand*{\seriescosx}{\ensuremath{% -\cos x \approx 1 - \frac{x^2}{2!} + \frac{x^4}{4!} - \ldots}\xspace} + \cos x \approx 1 - \frac{x^2}{2!} + \frac{x^4}{4!} - \ldots}\xspace} \newcommand*{\seriestanx}{\ensuremath{% -\tan x \approx x + \frac{x^3}{3} + \frac{2x^5}{15} + \ldots}\xspace} + \tan x \approx x + \frac{x^3}{3} + \frac{2x^5}{15} + \ldots}\xspace} \newcommand*{\seriesatox}{\ensuremath{% -a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ldots} -\xspace} + a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + % + \ldots}\xspace} \newcommand*{\serieslnoneplusx}{\ensuremath{% -\ln(1 \pm x) \approx \pm\; x - \frac{x^2}{2} \pm \frac{x^3}{3} - \frac{x^4}{4} \pm -\ldots}\xspace} + \ln(1 \pm x) \approx \pm\; x - \frac{x^2}{2} \pm \frac{x^3}{3} - % + \frac{x^4}{4} \pm \ldots}\xspace} \newcommand*{\binomialseries}{\ensuremath{% -(1 + x)^n \approx 1 + nx + \frac{n(n-1)}{2!}x^2 + \ldots}\xspace} + (1 + x)^n \approx 1 + nx + \frac{n(n-1)}{2!}x^2 + \ldots}\xspace} \newcommand*{\gradient}{\ensuremath{\boldsymbol{\nabla}}} \newcommand*{\divergence}{\ensuremath{\boldsymbol{\nabla}\bullet}} \newcommand*{\curl}{\ensuremath{\boldsymbol{\nabla\times}}} +\newcommand{\taigrad}{\ensuremath{\nabla}}% +\newcommand{\taisvec}{\ensuremath{% + \stackinset{c}{0.07ex}{c}{0.1ex}{\tiny$-$}{$\nabla$}} +}% +\newcommand{\taidivg}{\ensuremath{% + \stackinset{c}{0.07ex}{c}{0.1ex}{$\cdot$}{$\nabla$}} +}% +\newcommand{\taicurl}{\ensuremath{% + \stackinset{c}{0.04ex}{c}{0.32ex}{\tiny$\times$}{$\nabla$}} +}% \newcommand*{\laplacian}{\ensuremath{\boldsymbol{\nabla}^2}} \newcommand*{\dalembertian}{\ensuremath{\boldsymbol{\Box}}} \newcommand*{\diracdelta}[1]{\ensuremath{\delta}(#1)} @@ -9137,18 +10206,18 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld {\newcommand*{\cB}{\ensuremath{c\mskip -3.00mu B}}}} \newcommand*{\newpi}{\ensuremath{\pi\mskip -7.8mu\pi}} \newcommand*{\scripty}[1]{\ensuremath{\mathcalligra{#1}}} +\newcommand*{\Lagr}{\ensuremath{\mathcal{L}}} \newcommandx{\flux}[1][1]{\ensuremath{\ssub{\Phi}{#1}}} -\@ifpackageloaded{commath}{% - \typeout{mandi: Package commath detected. Its \protect\abs\space command will - be used.} -}{% - \typeout{mandi: Package commath not detected. mandi's \protect\abs\space command - will be used.} - \newcommand*{\abs}[1]{\ensuremath{\left\lvert{#1}\right\rvert}} -}% -\newcommand*{\magof}[1]{\ensuremath{\left\lVert{#1}\right\rVert}} -\newcommand*{\dimsof}[1]{\ensuremath{\left[{#1}\right]}} -\newcommand*{\unitsof}[1]{\ensuremath{\left[{#1}\right]_u}} +\newcommand*{\absof}[1]{\ensuremath{% + \left\lvert{\ifblank{#1}{\:\cdot\:}{#1}}\right\rvert}} +\newcommand*{\inparens}[1]{\ensuremath{% + \left({\ifblank{#1}{\:\cdot\:}{#1}}\right)}} +\newcommand*{\magof}[1]{\ensuremath{% + \left\lVert{\ifblank{#1}{\:\cdot\:}{#1}}\right\rVert}} +\newcommand*{\dimsof}[1]{\ensuremath{% + \left[{\ifblank{#1}{\:\cdot\:}{#1}}\right]}} +\newcommand*{\unitsof}[1]{\ensuremath{% + \left[{\ifblank{#1}{\:\cdot\:}{#1}}\right]_u}} \newcommand*{\changein}[1]{\ensuremath{\delta{#1}}} \newcommand*{\Changein}[1]{\ensuremath{\Delta{#1}}} \newcommandx{\scin}[3][1,3=\!\!,usedefault]{\ensuremath{% @@ -9166,8 +10235,10 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld {\unit{10^{#1}}{#2}}}} \newcommand*{\ee}[2]{\texttt{{#1}e{#2}}} \newcommand*{\EE}[2]{\texttt{{#1}E{#2}}} -\newcommand*{\dms}[3]{\ensuremath{\indegrees{#1}\inarcminutes{#2}\inarcseconds{#3}}} -\newcommand*{\hms}[3]{\ensuremath{{#1}^{\hour}{#2}^{\mathrm{m}}{#3}^{\s}}} +\newcommand*{\dms}[3]{\ensuremath{% + \indegrees{#1}\inarcminutes{#2}\inarcseconds{#3}}} +\newcommand*{\hms}[3]{\ensuremath{% + {#1}^{\hour}{#2}^{\mathrm{m}}{#3}^{\s}}} \newcommand*{\clockreading}{\hms} \newcommand*{\latitude}[1]{\unit{#1}{\degree}} \newcommand*{\latitudeN}[1]{\unit{#1}{\degree\;\mathrm{N}}} @@ -9181,8 +10252,10 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \newcommand*{\msub}[2]{\ensuremath{#1_{#2}}} \newcommand*{\msup}[2]{\ensuremath{#1^{#2}}} \newcommand*{\msud}[3]{\ensuremath{#1^{#2}_{#3}}} -\newcommand*{\levicivita}[1]{\ensuremath{\varepsilon_{\scriptscriptstyle{#1}}}} -\newcommand*{\kronecker}[1]{\ensuremath{\delta_{\scriptscriptstyle{#1}}}} +\newcommand*{\levicivita}[1]{\ensuremath{% + \varepsilon_{\scriptscriptstyle{#1}}}} +\newcommand*{\kronecker}[1]{\ensuremath{% + \delta_{\scriptscriptstyle{#1}}}} \newcommand*{\xaxis}{\ensuremath{x\text{-axis}}\xspace} \newcommand*{\yaxis}{\ensuremath{y\text{-axis}}\xspace} \newcommand*{\zaxis}{\ensuremath{z\text{-axis}}\xspace} @@ -9204,9 +10277,9 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \newcommand*{\ffourthroot}[1]{\ensuremath{{#1}^\onefourth}} \newcommand*{\ffifthroot}[1]{\ensuremath{{#1}^\onefifth}} \newcommand*{\relgamma}[1]{\ensuremath{% - \frac{1}{\sqrt{1-(\frac{#1}{c})\squared}}}} + \frac{1}{\sqrt{1-\inparens{\frac{#1}{c}}\squared}}}} \newcommand*{\frelgamma}[1]{\ensuremath{% - (1-\frac{{#1}\squared}{c\squared})^{-\onehalf}}} + \inparens{1-\frac{{#1}\squared}{c\squared}}^{-\onehalf}}} \newcommand*{\oosqrtomxs}[1]{\ensuremath{\frac{1}{\sqrt{1-{#1}\squared}}}} \newcommand*{\oosqrtomx}[1]{\ensuremath{\frac{1}{\sqrt{1-{#1}}}}} \newcommand*{\ooomx}[1]{\ensuremath{\frac{1}{1-{#1}}}} @@ -9233,60 +10306,76 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \newcommand*{\platerthan}{\pwordoperator{later}{than}\xspace} \newcommand*{\pforevery}{\pwordoperator{for}{every}\xspace} \newcommand*{\defines}{\ensuremath{\stackrel{\text{\tiny{def}}}{=}}\xspace} -\newcommand*{\inframe}[1][\relax]{\ensuremath{\xrightarrow[\text\tiny{\mathcal #1}]{}} - \xspace} -\newcommand*{\associates}{\ensuremath{\xrightarrow{\text{\tiny{assoc}}}}\xspace} -\newcommand*{\becomes}{\ensuremath{\xrightarrow{\text{\tiny{becomes}}}}\xspace} -\newcommand*{\rrelatedto}[1]{\ensuremath{\xLongrightarrow{\text{\tiny{#1}}}}} -\newcommand*{\lrelatedto}[1]{\ensuremath{\xLongleftarrow[\text{\tiny{#1}}]{}}} +\newcommand*{\inframe}[1][\relax]{\ensuremath{% + \xrightarrow[\text\tiny{\mathcal #1}]{}}\xspace} +\newcommand*{\associates}{\ensuremath{% + \xrightarrow{\text{\tiny{assoc}}}}\xspace} +\newcommand*{\becomes}{\ensuremath{% + \xrightarrow{\text{\tiny{becomes}}}}\xspace} +\newcommand*{\rrelatedto}[1]{\ensuremath{% + \xLongrightarrow{\text{\tiny{#1}}}}} +\newcommand*{\lrelatedto}[1]{\ensuremath{% + \xLongleftarrow[\text{\tiny{#1}}]{}}} \newcommand*{\brelatedto}[2]{\ensuremath{% \xLongleftrightarrow[\text{\tiny{#1}}]{\text{\tiny{#2}}}}} \newcommand*{\momentumprinciple}{\ensuremath{% \vectsub{p}{sys,final}=\vectsub{p}{sys,initial}+\Fnetsys\Delta t}} \newcommand*{\LHSmomentumprinciple}{\ensuremath{\vectsub{p}{sys,final}}} -\newcommand*{\RHSmomentumprinciple}{\ensuremath{\vectsub{p}{sys,initial}+\Fnetsys - \Delta t}} -\newcommand*{\momentumprinciplediff}{\ensuremath{\Dvectsub{p}{sys}=\Fnetsys\Delta t}} -\newcommand*{\energyprinciple}{\ensuremath{\ssub{E}{sys,final}=\ssub{E}{sys,initial}+W - +Q}} +\newcommand*{\RHSmomentumprinciple}{\ensuremath{% + \vectsub{p}{sys,initial}+\Fnetsys\Delta t}} +\newcommand*{\momentumprinciplediff}{\ensuremath{% + \Dvectsub{p}{sys}=\Fnetsys\Delta t}} +\newcommand*{\energyprinciple}{\ensuremath{% + \ssub{E}{sys,final}=\ssub{E}{sys,initial}+W+Q}} \newcommand*{\LHSenergyprinciple}{\ensuremath{\ssub{E}{sys,final}}} \newcommand*{\RHSenergyprinciple}{\ensuremath{\ssub{E}{sys,initial}+W+Q}} \newcommand*{\energyprinciplediff}{\ensuremath{\Delta\ssub{E}{sys}=W+Q}} -\newcommand*{\angularmomentumprinciple}{\ensuremath{\vectsub{L}{\(A\),sys,final}= +\newcommand*{\angularmomentumprinciple}{\ensuremath{% + \vectsub{L}{\(A\),sys,final}=\vectsub{L}{\(A\),sys,initial}+\Tsub{net}\Delta t}} +\newcommand*{\LHSangularmomentumprinciple}{\ensuremath{% + \vectsub{L}{\(A\),sys,final}}} +\newcommand*{\RHSangularmomentumprinciple}{\ensuremath{% \vectsub{L}{\(A\),sys,initial}+\Tsub{net}\Delta t}} -\newcommand*{\LHSangularmomentumprinciple}{\ensuremath{\vectsub{L}{\(A\),sys,final}}} -\newcommand*{\RHSangularmomentumprinciple}{\ensuremath{\vectsub{L}{\(A\),sys,initial}+ - \Tsub{net}\Delta t}} -\newcommand*{\angularmomentumprinciplediff}{\ensuremath{\Dvectsub{L}{\(A\),sys}= - \Tsub{net}\Delta t}} +\newcommand*{\angularmomentumprinciplediff}{\ensuremath{% + \Dvectsub{L}{\(A\),sys}=\Tsub{net}\Delta t}} \newcommand*{\gravitationalinteraction}{\ensuremath{% - \universalgravmathsymbol\frac{\msub{M}{1}\msub{M}{2}}{\magvectsub{r}{12}\squared} - (-\dirvectsub{r}{12})}} + \universalgravmathsymbol\frac{\msub{M}{1}\msub{M}{2}}{% + \magvectsub{r}{12}\squared}(-\dirvectsub{r}{12})}} \newcommand*{\electricinteraction}{\ensuremath{% \oofpezmathsymbol\frac{\msub{Q}{1}\msub{Q}{2}}{\magvectsub{r}{12}\squared} \dirvectsub{r}{12}}} \newcommand*{\springinteraction}{\ensuremath{\ks\magvect{s}(-\dirvect{s})}} \newcommand*{\Bfieldofparticle}{\ensuremath{% - \mzofpmathsymbol\frac{Q\magvect{v}}{\magvect{r}\squared}\dirvect{v}\times\dirvect{r}}} + \mzofpmathsymbol\frac{Q\magvect{v}}{\magvect{r}\squared}\dirvect{v}\times + \dirvect{r}}} \newcommand*{\Efieldofparticle}{\ensuremath{% \oofpezmathsymbol\frac{Q}{\magvect{r}\squared}\dirvect{r}}} -\newcommandx{\Esys}[1][1]{\ifthenelse{\equal{#1}{}}{\ssub{E}{sys}}{\ssub{E}{sys,#1}}} -\newcommandx{\Us}[1][1]{\ifthenelse{\equal{#1}{}}{\ssub{U}{\(s\)}}{\ssub{U}{\(s\),#1}}} -\newcommandx{\Ug}[1][1]{\ifthenelse{\equal{#1}{}}{\ssub{U}{\(g\)}}{\ssub{U}{\(g\),#1}}} -\newcommandx{\Ue}[1][1]{\ifthenelse{\equal{#1}{}}{\ssub{U}{\(e\)}}{\ssub{U}{\(e\),#1}}} +\newcommandx{\Esys}[1][1]{\ifthenelse{% + \equal{#1}{}}{\ssub{E}{sys}}{\ssub{E}{sys,#1}}} +\newcommandx{\Us}[1][1]{\ifthenelse{% + \equal{#1}{}}{\ssub{U}{\(s\)}}{\ssub{U}{\(s\),#1}}} +\newcommandx{\Ug}[1][1]{\ifthenelse{% + \equal{#1}{}}{\ssub{U}{\(g\)}}{\ssub{U}{\(g\),#1}}} +\newcommandx{\Ue}[1][1]{\ifthenelse{% + \equal{#1}{}}{\ssub{U}{\(e\)}}{\ssub{U}{\(e\),#1}}} \newcommandx{\Ktrans}[1][1]{\ifthenelse{\equal{#1}{}}{\ssub{K}{trans}} {\ssub{K}{trans,#1}}} -\newcommandx{\Krot}[1][1]{\ifthenelse{\equal{#1}{}}{\ssub{K}{rot}}{\ssub{K}{rot,#1}}} -\newcommandx{\Kvib}[1][1]{\ifthenelse{\equal{#1}{}}{\ssub{K}{vib}}{\ssub{K}{vib,#1}}} +\newcommandx{\Krot}[1][1]{\ifthenelse{% + \equal{#1}{}}{\ssub{K}{rot}}{\ssub{K}{rot,#1}}} +\newcommandx{\Kvib}[1][1]{\ifthenelse{% + \equal{#1}{}}{\ssub{K}{vib}}{\ssub{K}{vib,#1}}} \newcommandx{\Eparticle}[1][1]{\ifthenelse{\equal{#1}{}}{\ssub{E}{particle}} {\ssub{E}{particle,#1}}} \newcommandx{\Einternal}[1][1]{\ifthenelse{\equal{#1}{}}{\ssub{E}{internal}} {\ssub{E}{internal,#1}}} -\newcommandx{\Erest}[1][1]{\ifthenelse{\equal{#1}{}}{\ssub{E}{rest}}{\ssub{E}{rest,#1}}} -\newcommandx{\Echem}[1][1]{\ifthenelse{\equal{#1}{}}{\ssub{E}{chem}}{\ssub{E}{chem,#1}}} +\newcommandx{\Erest}[1][1]{\ifthenelse{\equal{#1}{}}{\ssub{E}{rest}}{\ssub{E} + {rest,#1}}} +\newcommandx{\Echem}[1][1]{\ifthenelse{\equal{#1}{}}{\ssub{E}{chem}}{\ssub{E} + {chem,#1}}} \newcommandx{\Etherm}[1][1]{\ifthenelse{\equal{#1}{}}{\ssub{E}{therm}} {\ssub{E}{therm,#1}}} -\newcommandx{\Evib}[1][1]{\ifthenelse{\equal{#1}{}}{\ssub{E}{vib}}{\ssub{E}{vib,#1}}} +\newcommandx{\Evib}[1][1]{\ifthenelse{% + \equal{#1}{}}{\ssub{E}{vib}}{\ssub{E}{vib,#1}}} \newcommandx{\Ephoton}[1][1]{\ifthenelse{\equal{#1}{}}{\ssub{E}{photon}} {\ssub{E}{photon,#1}}} \newcommand*{\DEsys}{\Changein\Esys} @@ -9424,19 +10513,25 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \newcommand*{\RHSmaxwellivdif}{\ensuremath{\vacuumpermeabilitymathsymbol% \vacuumpermittivitymathsymbol\pbypt[\vect{E}]+% \vacuumpermeabilitymathsymbol\vectsub{J}{\(e\)}}} -\newcommand*{\RHSmaxwellivdiffree}{\ensuremath{\vacuumpermeabilitymathsymbol\vacuumpermittivitymathsymbol\pbypt[\vect{E}]}} +\newcommand*{\RHSmaxwellivdiffree}{\ensuremath{\vacuumpermeabilitymathsymbol + \vacuumpermittivitymathsymbol\pbypt[\vect{E}]}} \newcommand*{\maxwellivdif}{\ensuremath{\LHSmaxwellivdif=\RHSmaxwellivdif}} \newcommand*{\maxwellivdiffree}{\ensuremath{\LHSmaxwellivdif=\RHSmaxwellivdiffree}} \newcommand*{\RHSlorentzforce}{\ensuremath{\msub{q}{e}\left(\vect{E}+% \vectcrossvect{\vect{v}}{\vect{B}}\right)}} \newcommand*{\RHSlorentzforcem}{\ensuremath{\RHSlorentzforce+\msub{q}{m}\left(% \vect{B}-\vectcrossvect{\vect{v}}{\frac{\vect{E}}{c^2}}\right)}} +\newcommandx{\eulerlagrange}[1][1={q_i},usedefault]{\ensuremath{% + \pbyp{\mathcal{L}}{#1}-\dbydt\inparens{\pbyp{\mathcal{L}}{\dot{#1}}} = 0}} +\newcommandx{\Eulerlagrange}[1][1={q_i},usedefault]{\ensuremath{% + \DbyD{\mathcal{L}}{#1}-\DbyDt\inparens{\DbyD{\mathcal{L}}{\dot{#1}}} = 0}} \newcommand*{\vpythonline}{\lstinline[style=vpython]} -\lstnewenvironment{vpythonblock}{\lstset{style=vpython}}{} -\newcommand*{\vpythonfile}{\lstinputlisting[style=vpython]} +\lstnewenvironment{vpythonblock}[1][]{\lstset{style=vpython,caption={#1}}}{} +\newcommand*{\vpythonfile}[1][]{\newpage\lstinputlisting[style=vpython,caption={#1}]} \newcommandx{\emptyanswer}[2][1=0.80,2=0.1,usedefault] {\begin{minipage}{#1\textwidth}\hfill\vspace{#2\textheight}\end{minipage}} -\newenvironmentx{activityanswer}[5][1=white,2=black,3=black,4=0.90,5=0.10,usedefault]{% +\newenvironmentx{activityanswer}[5][1=white,2=black,3=black,4=0.90,% + 5=0.10,usedefault]{% \def\skipper{#5}% \def\response@fbox{\fcolorbox{#2}{#1}}% \begin{center}% @@ -9463,7 +10558,8 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \response@fbox{\usebox{\@tempboxa}}% \end{center}% }% -\newcommandx{\emptybox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.10,usedefault] +\newcommandx{\emptybox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,% + 6=0.10,usedefault]% {\begin{center}% \fcolorbox{#3}{#2}{% \begin{minipage}[c][#6\textheight][c]{#5\textwidth}\color{#4}% @@ -9472,8 +10568,8 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \vspace{\baselineskip}% \end{center}% }% -\newcommandx{\adjemptybox}[7][1=\hfill,2=white,3=black,4=black,5=0.90,6=, -7=0.0,usedefault] +\newcommandx{\adjemptybox}[7][1=\hfill,2=white,3=black,4=black,5=0.90,6=,% + 7=0.0,usedefault] {\begin{center}% \fcolorbox{#3}{#2}{% \begin{minipage}[c]{#5\textwidth}\color{#4}% @@ -9484,7 +10580,8 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \vspace{\baselineskip}% \end{center}% }% -\newcommandx{\answerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.1,usedefault] +\newcommandx{\answerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,% + 6=0.1,usedefault]% {\ifthenelse{\equal{#1}{}}% {\begin{center}% \fcolorbox{#3}{#2}{% @@ -9493,8 +10590,8 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \end{center}}% {\emptybox[#1][#2][#3][#4][#5][#6]}% }% -\newcommandx{\adjanswerbox}[7][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.1,7=0.0,% - usedefault]% +\newcommandx{\adjanswerbox}[7][1=\hfill,2=white,3=black,4=black,5=0.90,% + 6=0.1,7=0.0,usedefault]% {\ifthenelse{\equal{#1}{}}% {\begin{center}% \fcolorbox{#3}{#2}{% @@ -9503,8 +10600,8 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \end{center}}% {\adjemptybox[#1][#2][#3][#4][#5][#6][#7]}% }% -\newcommandx{\smallanswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.10,% - usedefault]% +\newcommandx{\smallanswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,% + 6=0.10,usedefault]% {\ifthenelse{\equal{#1}{}}% {\begin{center}% \fcolorbox{#3}{#2}{% @@ -9513,8 +10610,24 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \end{center}}% {\emptybox[#1][#2][#3][#4][#5][#6]}% }% -\newcommandx{\mediumanswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.20,% - usedefault]{% +\newcommandx{\smallanswerform}[4][1=q1,2=Response,3=0.10,4=0.90,usedefault]{% + \vspace{\baselineskip}% + \begin{Form} + \begin{center}% + \TextField[value={#2},% + name=#1,% + width=#4\linewidth,% + height=#3\textheight,% + backgroundcolor=formcolor,% + multiline=true,% + charsize=10pt,% + bordercolor=black]{}% + \end{center}% + \end{Form}% + \vspace{\baselineskip}% +}% +\newcommandx{\mediumanswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,% + 6=0.20,usedefault]{% \ifthenelse{\equal{#1}{}}% {\begin{center}% \fcolorbox{#3}{#2}{% @@ -9523,8 +10636,24 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \end{center}}% {\emptybox[#1][#2][#3][#4][#5][#6]}% }% -\newcommandx{\largeanswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.25,% - usedefault]{% +\newcommandx{\mediumanswerform}[4][1=q1,2=Response,3=0.20,4=0.90,usedefault]{% + \vspace{\baselineskip}% + \begin{Form} + \begin{center}% + \TextField[value={#2},% + name=#1,% + width=#4\linewidth,% + height=#3\textheight,% + backgroundcolor=formcolor,% + multiline=true,% + charsize=10pt,% + bordercolor=black]{}% + \end{center}% + \end{Form}% + \vspace{\baselineskip}% +}% +\newcommandx{\largeanswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,% + 6=0.25,usedefault]{% \ifthenelse{\equal{#1}{}}% {\begin{center}% \fcolorbox{#3}{#2}{% @@ -9533,8 +10662,24 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \end{center}}% {\emptybox[#1][#2][#3][#4][#5][#6]}% }% -\newcommandx{\largeranswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.33,% - usedefault]{% +\newcommandx{\largeanswerform}[4][1=q1,2=Response,3=0.25,4=0.90,usedefault]{% + \vspace{\baselineskip}% + \begin{Form} + \begin{center}% + \TextField[value={#2},% + name=#1,% + width=#4\linewidth,% + height=#3\textheight,% + backgroundcolor=formcolor,% + multiline=true,% + charsize=10pt,% + bordercolor=black]{}% + \end{center}% + \end{Form}% + \vspace{\baselineskip}% +}% +\newcommandx{\largeranswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,% + 6=0.33,usedefault]{% \ifthenelse{\equal{#1}{}}% {\begin{center}% \fcolorbox{#3}{#2}{% @@ -9543,8 +10688,25 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \end{center}}% {\emptybox[#1][#2][#3][#4][#5][#6]}% }% -\newcommandx{\hugeanswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.50,% +\newcommandx{\largeranswerform}[4][1=q1,2=Response,3=0.33,4=0.90,% usedefault]{% + \vspace{\baselineskip}% + \begin{Form} + \begin{center}% + \TextField[value={#2},% + name=#1,% + width=#4\linewidth,% + height=#3\textheight,% + backgroundcolor=formcolor,% + multiline=true,% + charsize=10pt,% + bordercolor=black]{}% + \end{center}% + \end{Form}% + \vspace{\baselineskip}% +}% +\newcommandx{\hugeanswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,% + 6=0.50,usedefault]{% \ifthenelse{\equal{#1}{}} {\begin{center}% \fcolorbox{#3}{#2}{% @@ -9553,8 +10715,24 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \end{center}}% {\emptybox[#1][#2][#3][#4][#5][#6]}% }% -\newcommandx{\hugeranswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.75,% - usedefault]{% +\newcommandx{\hugeanswerform}[4][1=q1,2=Response,3=0.50,4=0.90,usedefault]{% + \vspace{\baselineskip}% + \begin{Form} + \begin{center}% + \TextField[value={#2},% + name=#1,% + width=#4\linewidth,% + height=#3\textheight,% + backgroundcolor=formcolor,% + multiline=true,% + charsize=10pt,% + bordercolor=black]{}% + \end{center}% + \end{Form}% + \vspace{\baselineskip}% +}% +\newcommandx{\hugeranswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,% + 6=0.75,usedefault]{% \ifthenelse{\equal{#1}{}}% {\begin{center}% \fcolorbox{#3}{#2}{% @@ -9563,8 +10741,24 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \end{center}}% {\emptybox[#1][#2][#3][#4][#5][#6]}% }% -\newcommandx{\fullpageanswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=1.00,% - usedefault]{% +\newcommandx{\hugeranswerform}[4][1=q1,2=Response,3=0.75,4=0.90,usedefault]{% + \vspace{\baselineskip}% + \begin{Form} + \begin{center}% + \TextField[value={#2},% + name=#1,% + width=#4\linewidth,% + height=#3\textheight,% + backgroundcolor=formcolor,% + multiline=true,% + charsize=10pt,% + bordercolor=black]{}% + \end{center}% + \end{Form}% + \vspace{\baselineskip}% +}% +\newcommandx{\fullpageanswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,% + 6=1.00,usedefault]{% \ifthenelse{\equal{#1}{}}% {\begin{center}% \fcolorbox{#3}{#2}{% @@ -9573,9 +10767,26 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \end{center}}% {\emptybox[#1][#2][#3][#4][#5][#6]}% }% +\newcommandx{\fullpageanswerform}[4][1=q1,2=Response,3=1.00,4=0.90,usedefault]{% + \vspace{\baselineskip}% + \begin{Form} + \begin{center}% + \TextField[value={#2},% + name=#1,% + width=#4\linewidth,% + height=#3\textheight,% + backgroundcolor=formcolor,% + multiline=true,% + charsize=10pt,% + bordercolor=black]{}% + \end{center}% + \end{Form}% + \vspace{\baselineskip}% +}% \mdfdefinestyle{miinstructornotestyle}{% hidealllines=false,skipbelow=\baselineskip,skipabove=\baselineskip, leftmargin=40pt,rightmargin=40pt,linewidth=1,roundcorner=10, + nobreak=true, frametitle={INSTRUCTOR NOTE}, frametitlebackgroundcolor=cyan!60,frametitlerule=true,frametitlerulewidth=1, backgroundcolor=cyan!25, @@ -9590,6 +10801,7 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \mdfdefinestyle{mistudentnotestyle}{% hidealllines=false,skipbelow=\baselineskip,skipabove=\baselineskip, leftmargin=40pt,rightmargin=40pt,linewidth=1,roundcorner=10, + nobreak=true, frametitle={STUDENT NOTE}, frametitlebackgroundcolor=cyan!60,frametitlerule=true,frametitlerulewidth=1, backgroundcolor=cyan!25, @@ -9604,6 +10816,7 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \mdfdefinestyle{miderivationstyle}{% hidealllines=false,skipbelow=\baselineskip,skipabove=\baselineskip, leftmargin=0pt,rightmargin=0pt,linewidth=1,roundcorner=10, + nobreak=true, frametitle={DERIVATION}, frametitlebackgroundcolor=orange!60,frametitlerule=true,frametitlerulewidth=1, backgroundcolor=orange!25, @@ -9611,6 +10824,14 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \NewEnviron{miderivation}{% \begin{mdframed}[style=miderivationstyle] \setcounter{equation}{0} + \begin{align} + \BODY + \end{align} + \end{mdframed} +}% +\NewEnviron{miderivation*}{% + \begin{mdframed}[style=miderivationstyle] + \setcounter{equation}{0} \begin{align*} \BODY \end{align*} @@ -9619,6 +10840,7 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \mdfdefinestyle{bwinstructornotestyle}{% hidealllines=false,skipbelow=\baselineskip,skipabove=\baselineskip, leftmargin=40pt,rightmargin=40pt,linewidth=1,roundcorner=10, + nobreak=true, frametitle={INSTRUCTOR NOTE}, frametitlebackgroundcolor=gray!50,frametitlerule=true,frametitlerulewidth=1, backgroundcolor=gray!20, @@ -9633,6 +10855,7 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \mdfdefinestyle{bwstudentnotestyle}{% hidealllines=false,skipbelow=\baselineskip,skipabove=\baselineskip, leftmargin=40pt,rightmargin=40pt,linewidth=1,roundcorner=10, + nobreak=true, frametitle={STUDENT NOTE}, frametitlebackgroundcolor=gray!50,frametitlerule=true,frametitlerulewidth=1, backgroundcolor=gray!20, @@ -9647,6 +10870,7 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \mdfdefinestyle{bwderivationstyle}{% hidealllines=false,skipbelow=\baselineskip,skipabove=\baselineskip, leftmargin=0pt,rightmargin=0pt,linewidth=1,roundcorner=10, + nobreak=true, frametitle={DERIVATION}, frametitlebackgroundcolor=gray!50,frametitlerule=true,frametitlerulewidth=1, backgroundcolor=gray!20, @@ -9654,18 +10878,35 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \NewEnviron{bwderivation}{% \begin{mdframed}[style=bwderivationstyle] \setcounter{equation}{0} + \begin{align} + \BODY + \end{align} + \end{mdframed} +}% +\NewEnviron{bwderivation*}{% + \begin{mdframed}[style=bwderivationstyle] + \setcounter{equation}{0} \begin{align*} \BODY \end{align*} \end{mdframed} }% \NewEnviron{mysolution}{% + \setcounter{equation}{0} + \begin{align} + \BODY + \end{align} +}% +\NewEnviron{mysolution*}{% + \setcounter{equation}{0} \begin{align*} \BODY \end{align*} }% \newcommand*{\checkpoint}{% - \vspace{1cm}\begin{center}|--------- CHECKPOINT ---------|\end{center}}% + \vspace{1cm}\begin{center}% + \colorbox{yellow!80}{|--------- CHECKPOINT ---------|}% + \end{center}}% \newcommand*{\image}[2]{% \begin{figure}[h!] \begin{center}% @@ -9674,7 +10915,8 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \label{#1}% \end{center}% \end{figure}} -\newcommand*{\sneakyone}[1]{\ensuremath{\cancelto{1}{\frac{#1}{#1}}}} +%\changes{v2.5.0}{2015/09/13}{Changed behavior of \cs{sneakyone}.} +\newcommand*{\sneakyone}[1]{\ensuremath{\cancelto{1}{#1}}} % undocumented diagnostic command \newcommand*{\chkquantity}[1]{% \begin{center} @@ -9685,6 +10927,7 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \end{tabular} \end{center} }% +\newcommand*{\qed}{\ensuremath{\text{ Q.E.D.}}} % undocumented diagnostic command \newcommand*{\chkconstant}[1]{% \begin{center} diff --git a/Master/texmf-dist/source/latex/mandi/mandi.ins b/Master/texmf-dist/source/latex/mandi/mandi.ins index 743a77a224e..8ec0aff32cb 100644 --- a/Master/texmf-dist/source/latex/mandi/mandi.ins +++ b/Master/texmf-dist/source/latex/mandi/mandi.ins @@ -6,7 +6,7 @@ %% %% mandi.dtx (with options: `install') %% -%% Copyright (C) 2014 by Paul J. Heafner <heafnerj@gmail.com> +%% Copyright (C) 2016 by Paul J. Heafner <heafnerj@gmail.com> %% --------------------------------------------------------------------------- %% This work may be distributed and/or modified under the conditions of the %% LaTeX Project Public License, either version 1.3 of this license or (at @@ -21,11 +21,11 @@ %% %% This work consists of the files mandi.dtx %% README +%% mandi.pdf %% %% and includes the derived files mandi.ins -%% mandi.sty -%% vdemo.py and -%% mandi.pdf. +%% mandi.sty and +%% vdemo.py. %% --------------------------------------------------------------------------- %% \input docstrip.tex @@ -34,7 +34,7 @@ \usedir{tex/latex/mandi} \preamble -Copyright (C) 2014 by Paul J. Heafner <heafnerj@gmail.com> +Copyright (C) 2016 by Paul J. Heafner <heafnerj@gmail.com> --------------------------------------------------------------------------- This work may be distributed and/or modified under the conditions of the LaTeX Project Public License, either version 1.3 of this license or (at @@ -49,11 +49,11 @@ The Current Maintainer of this work is Paul J. Heafner. This work consists of the files mandi.dtx README + mandi.pdf and includes the derived files mandi.ins - mandi.sty - vdemo.py and - mandi.pdf. + mandi.sty and + vdemo.py. --------------------------------------------------------------------------- \endpreamble @@ -61,7 +61,7 @@ and includes the derived files mandi.ins \generate{\file{\jobname.sty}{\from{\jobname.dtx}{package}}} \generate{\file{\jobname.ins}{\from{\jobname.dtx}{install}}} \generate{\usepreamble\empty\usepostamble\empty - \file{README.txt}{\from{\jobname.dtx}{readme}}} + \file{vdemo.py}{\from{\jobname.dtx}{vdemo}}} \obeyspaces \Msg{*************************************************************} diff --git a/Master/texmf-dist/tex/latex/mandi/mandi.sty b/Master/texmf-dist/tex/latex/mandi/mandi.sty index 700d2db36c8..652a6bdbf6e 100644 --- a/Master/texmf-dist/tex/latex/mandi/mandi.sty +++ b/Master/texmf-dist/tex/latex/mandi/mandi.sty @@ -6,7 +6,7 @@ %% %% mandi.dtx (with options: `package') %% -%% Copyright (C) 2014 by Paul J. Heafner <heafnerj@gmail.com> +%% Copyright (C) 2016 by Paul J. Heafner <heafnerj@gmail.com> %% --------------------------------------------------------------------------- %% This work may be distributed and/or modified under the conditions of the %% LaTeX Project Public License, either version 1.3 of this license or (at @@ -21,14 +21,14 @@ %% %% This work consists of the files mandi.dtx %% README +%% mandi.pdf %% %% and includes the derived files mandi.ins -%% mandi.sty -%% vdemo.py and -%% mandi.pdf. +%% mandi.sty and +%% vdemo.py. %% --------------------------------------------------------------------------- %% -\ProvidesPackage{mandi}[2014/12/29 2.4.0 Macros for physics and astronomy] +\ProvidesPackage{mandi}[2016/03/15 2.5.1 Macros for physics and astronomy] \NeedsTeXFormat{LaTeX2e}[1999/12/01] \RequirePackage{amsmath} @@ -48,7 +48,9 @@ \RequirePackage{textcomp} \RequirePackage{letltxmacro} \RequirePackage{listings} +\RequirePackage{mathtools} \RequirePackage[framemethod=TikZ]{mdframed} +\RequirePackage{stackengine} \RequirePackage{suffix} \RequirePackage{xargs} \RequirePackage{xparse} @@ -61,28 +63,37 @@ \DeclareGraphicsRule{.tif}{png}{.png}{`convert #1 `basename #1 .tif`.png} \DeclareMathAlphabet{\mathpzc}{OT1}{pzc}{m}{it} \usetikzlibrary{shadows} -\definecolor{vbgcolor}{rgb}{1,1,1} -\definecolor{vshadowcolor}{rgb}{0.5,0.5,0.5} -\lstdefinestyle{vpython}{% % style for VPython code - language=Python,% % select language - morekeywords={visual,arrow,box,cone,% % VPython specific keywords - convex,curve,cylinder,ellipsoid,extrusion,faces,helix,label,points,pyramid,ring,% - sphere,text,frame,graphs,vector,pos,axis,radius,color,opacity,material,up,% - make_trail,trail_type,trail_object,scene,mag,mag2,norm,dot,cross,proj,comp,% - diff_angle,rotate,astuple,radians,shaftwidth,headwidth,headlength,height,width,% - size,degrees,interval,retain,__future__,division,print_function,rate},% - frame=shadowbox,% % shadowbox around listing - rulesepcolor=\color{vshadowcolor},% % shadow color - basicstyle=\footnotesize,% % basic font for code listings - commentstyle=\bfseries\color{red}, % font for comments - keywordstyle=\bfseries\color{blue},% % font for keywords - showstringspaces=true,% % show spaces in strings - numbers=left,% % where to put line numbers - numberstyle=\tiny,% % set to 'none' for no line numbers - xleftmargin=20pt,% % extra left margin - backgroundcolor=\color{vbgcolor},% % some people find this annoying - upquote=true,% % how to typeset quotes - breaklines=true}% % break long lines +\definecolor{vbgcolor}{rgb}{1,1,1} % background for code listings +\definecolor{vshadowcolor}{rgb}{0.5,0.5,0.5} % shadow for code listings +\lstdefinestyle{vpython}{% % style for code listings + language=Python,% % select language + morekeywords={__future__,division,append, % VPython/GlowScript specific keywords + arange,arrow,astuple,axis,background,black,blue,cyan,green,% + magenta,orange,red,white,yellow,border,box,color,comp,% + cone,convex,cross,curve,cylinder,degrees,diff_angle,dot,ellipsoid,extrusion,faces,% + font,frame,graphs,headlength,height,headwidth,helix,index,interval,label,length,% + line,linecolor,mag,mag2,make_trail,material,norm,normal,objects,opacity,points,pos,% + print,print_function,proj,pyramid,radians,radius,rate,retain,ring,rotate,scene,% + shaftwidth,shape,sign,size,space,sphere,text,trail_object,trail_type,True,twist,up,% + vector,visual,width,offset,yoffset,GlowScript,VPython,trail_color,trail_radius,% + pps,clear,False,CoffeeScript,graph,gdisplay,canvas,pause,vec,clone,compound,% + vertex,triangle,quad,attach_trail,attach_arrow,textures,bumpmaps,print_options,% + get_library,read_local_file},% + captionpos=b,% % position caption + frame=shadowbox,% % shadowbox around listing + rulesepcolor=\color{vshadowcolor},% % shadow color + basicstyle=\footnotesize,% % basic font for code listings + commentstyle=\bfseries\color{red}, % font for comments + keywordstyle=\bfseries\color{blue},% % font for keywords + showstringspaces=true,% % show spaces in strings + stringstyle=\bfseries\color{green},% % color for strings + numbers=left,% % where to put line numbers + numberstyle=\tiny,% % set to 'none' for no line numbers + xleftmargin=20pt,% % extra left margin + backgroundcolor=\color{vbgcolor},% % some people find this annoying + upquote=true,% % how to typeset quotes + breaklines=true}% % break long lines +\definecolor{formcolor}{gray}{0.90} % color for form background \newcolumntype{C}[1]{>{\centering}m{#1}} \newboolean{@optromanvectors} \newboolean{@optboldvectors} @@ -90,28 +101,31 @@ \newboolean{@optbaseunits} \newboolean{@optdrvdunits} \newboolean{@optapproxconsts} +\newboolean{@optuseradians} \setboolean{@optromanvectors}{false} % this is where you set the default option \setboolean{@optboldvectors}{false} % this is where you set the default option \setboolean{@optsingleabsbars}{false} % this is where you set the default option \setboolean{@optbaseunits}{false} % this is where you set the default option \setboolean{@optdrvdunits}{false} % this is where you set the default option \setboolean{@optapproxconsts}{false} % this is where you set the default option +\setboolean{@optuseradians}{false} % this is where you set the default option \DeclareOption{romanvectors}{\setboolean{@optromanvectors}{true}} \DeclareOption{boldvectors}{\setboolean{@optboldvectors}{true}} \DeclareOption{singleabsbars}{\setboolean{@optsingleabsbars}{true}} \DeclareOption{baseunits}{\setboolean{@optbaseunits}{true}} \DeclareOption{drvdunits}{\setboolean{@optdrvdunits}{true}} \DeclareOption{approxconsts}{\setboolean{@optapproxconsts}{true}} +\DeclareOption{useradians}{\setboolean{@optuseradians}{true}} \ProcessOptions\relax +\newcommand*{\mandiversion}{2.5.0} +\typeout{mandi: You're using mandi version \mandiversion.} \@ifpackageloaded{amssymb}{% \csundef{square} - \typeout{mandi: Package amssymb detected. Its \protect\square\space has been - redefined.} + \typeout{mandi: Package amssymb detected. Its \protect\square\space + has been redefined.} }{% \typeout{mandi: Package amssymb not detected.} }% -\newcommand*{\mandiversion}{2.4.0} -\typeout{mandi: You're using mandi version \mandiversion.} \newcommand*{\per}{\ensuremath{/}} \newcommand*{\usk}{\ensuremath{\cdot}} \newcommand*{\unit}[2]{\ensuremath{{#1}\,{#2}}} @@ -242,21 +256,12 @@ \ifthenelse{\boolean{@optapproxconsts}} {\typeout{mandi: You'll get approximate constants.}} {\typeout{mandi: You'll get precise constants.}} +\ifthenelse{\boolean{@optuseradians}} + {\typeout{mandi: You'll get radians in ang mom, ang impulse, and torque.}} + {\typeout{mandi: You won't get radians in ang mom, ang impulse, and torque.}} \ifthenelse{\boolean{@optapproxconsts}} {\newcommand*{\mi@p}[2]{#1}} % approximate value {\newcommand*{\mi@p}[2]{#2}} % precise value -\def\resetMathstrut@{% - \setbox\z@\hbox{% - \mathchardef\@tempa\mathcode`\[\relax - \def\@tempb##1"##2##3{\the\textfont"##3\char"}% - \expandafter\@tempb\meaning\@tempa \relax}% - \ht\Mathstrutbox@\ht\z@ \dp\Mathstrutbox@\dp\z@} -\begingroup - \catcode`(\active \xdef({\left\string(} - \catcode`)\active \xdef){\right\string)} -\endgroup -\mathcode`(="8000 \mathcode`)="8000 -\typeout{mandi: Parentheses have been made adjustable in math mode.} \newcommand*{\m}{\metre} \newcommand*{\kg}{\kilogram} \newcommand*{\s}{\second} @@ -271,15 +276,6 @@ \newcommand*{\dimtemperature}{\ensuremath{\mathrm{\Theta}}} \newcommand*{\dimamount}{\ensuremath{\mathrm{N}}} \newcommand*{\dimluminous}{\ensuremath{\mathrm{J}}} -\newphysicsquantity{displacement}{\m}[\m][\m] -\newphysicsquantity{mass}{\kg}[\kg][\kg] -\newphysicsquantity{duration}{\s}[\s][\s] -\newphysicsquantity{current}{\A}[\A][\A] -\newphysicsquantity{temperature}{\K}[\K][\K] -\newphysicsquantity{amount}{\mol}[\mol][\mol] -\newphysicsquantity{luminous}{\cd}[\cd][\cd] -\newphysicsquantity{planeangle}{\m\usk\reciprocal\m}[\rad][\relax] -\newphysicsquantity{solidangle}{\m\squared\usk\reciprocalsquare\m}[\sr][\relax] \newcommand*{\indegrees}[1]{\unit{#1}{\degree}} \newcommand*{\inFarenheit}[1]{\unit{#1}{\degree\mathrm{F}}} \newcommand*{\inCelsius}[1]{\unit{#1}{\degree\mathrm{C}}} @@ -312,120 +308,329 @@ \newcommand*{\insolarD}[1]{\unit{#1}{\Dsolar}} \newcommand*{\insolard}[1]{\unit{#1}{\dsolar}} \newcommand*{\velocityc}[1]{\ensuremath{#1c}} -\newphysicsquantity{velocity}{\m\usk\reciprocal\s}[\m\usk\reciprocal\s][\m\per\s] +\newcommand*{\lorentz}[1]{\ensuremath{#1}} \newcommand*{\speed}{\velocity} -\newphysicsquantity{acceleration}{\m\usk\s\reciprocalsquared}[\N\per\kg]% +\newphysicsquantity{displacement}% + {\m}% + [\m]% + [\m] +\newphysicsquantity{mass}% + {\kg}% + [\kg]% + [\kg] +\newphysicsquantity{duration}% + {\s}% + [\s]% + [\s] +\newphysicsquantity{current}% + {\A}% + [\A]% + [\A] +\newphysicsquantity{temperature}% + {\K}% + [\K]% + [\K] +\newphysicsquantity{amount}% + {\mol}% + [\mol]% + [\mol] +\newphysicsquantity{luminous}% + {\cd}% + [\cd]% + [\cd] +\newphysicsquantity{planeangle}% + {\m\usk\reciprocal\m}% + [\rad]% + [] +\newphysicsquantity{solidangle}% + {\m\squared\usk\reciprocalsquare\m}% + [\sr]% + [] +\newphysicsquantity{velocity}% + {\m\usk\reciprocal\s}% + [\m\usk\reciprocal\s]% + [\m\per\s] +\newphysicsquantity{acceleration}% + {\m\usk\s\reciprocalsquared}% + [\N\per\kg]% [\m\per\s\squared] -\newphysicsquantity{gravitationalfield}{\m\usk\s\reciprocalsquared}[\N\per\kg]% +\newphysicsquantity{gravitationalfield}% + {\m\usk\s\reciprocalsquared}% + [\N\per\kg]% [\N\per\kg] -\newphysicsquantity{gravitationalpotential}{\square\m\usk\reciprocalsquare\s}% - [\J\per\kg][\J\per\kg] -\newcommand*{\lorentz}[1]{\ensuremath{#1}} -\newphysicsquantity{momentum}{\m\usk\kg\usk\reciprocal\s}[\N\usk\s][\kg\usk\m\per\s] -\newphysicsquantity{impulse}{\m\usk\kg\usk\reciprocal\s}[\N\usk\s][\N\usk\s] -\newphysicsquantity{force}{\m\usk\kg\usk\s\reciprocalsquared}[\N][\N] -\newphysicsquantity{springstiffness}{\kg\usk\s\reciprocalsquared}[\N\per\m][\N\per\m] -\newphysicsquantity{springstretch}{\m} -\newphysicsquantity{area}{\m\squared} -\newphysicsquantity{volume}{\cubic\m} -\newphysicsquantity{linearmassdensity}{\reciprocal\m\usk\kg}[\kg\per\m][\kg\per\m] -\newphysicsquantity{areamassdensity}{\m\reciprocalsquared\usk\kg}[\kg\per\m\squared]% +\newphysicsquantity{gravitationalpotential}% + {\square\m\usk\reciprocalsquare\s}% + [\J\per\kg]% + [\J\per\kg] +\newphysicsquantity{momentum}% + {\m\usk\kg\usk\reciprocal\s}% + [\N\usk\s]% + [\kg\usk\m\per\s] +\newphysicsquantity{impulse}% + {\m\usk\kg\usk\reciprocal\s}% + [\N\usk\s]% + [\N\usk\s] +\newphysicsquantity{force}% + {\m\usk\kg\usk\s\reciprocalsquared}% + [\N]% + [\N] +\newphysicsquantity{springstiffness}% + {\kg\usk\s\reciprocalsquared}% + [\N\per\m]% + [\N\per\m] +\newphysicsquantity{springstretch}% + {\m}% + []% + [] +\newphysicsquantity{area}% + {\m\squared}% + []% + [] +\newphysicsquantity{volume}% + {\cubic\m}% + []% + [] +\newphysicsquantity{linearmassdensity}% + {\reciprocal\m\usk\kg}% + [\kg\per\m]% + [\kg\per\m] +\newphysicsquantity{areamassdensity}% + {\m\reciprocalsquared\usk\kg}% + [\kg\per\m\squared]% [\kg\per\m\squared] -\newphysicsquantity{volumemassdensity}{\m\reciprocalcubed\usk\kg}[\kg\per\m\cubed]% +\newphysicsquantity{volumemassdensity}% + {\m\reciprocalcubed\usk\kg}% + [\kg\per\m\cubed]% [\kg\per\m\cubed] -\newphysicsquantity{youngsmodulus}{\reciprocal\m\usk\kg\usk\s\reciprocalsquared}% - [\N\per\m\squared][\Pa] -\newphysicsquantity{stress}{\reciprocal\m\usk\kg\usk\s\reciprocalsquared}% - [\N\per\m\squared][\Pa] -\newphysicsquantity{pressure}{\reciprocal\m\usk\kg\usk\s\reciprocalsquared}% - [\N\per\m\squared][\Pa] -\newphysicsquantity{strain}{\relax}[\relax][\relax] -\newphysicsquantity{work}{\m\squared\usk\kg\usk\s\reciprocalsquared}[\J][\N\usk\m] -\newphysicsquantity{energy}{\m\squared\usk\kg\usk\s\reciprocalsquared}[\N\usk\m][\J] -\newphysicsquantity{power}{\m\squared\usk\kg\usk\s\reciprocalcubed}[\J\per\s][\W] -\newphysicsquantity{specificheatcapacity}{\J\per\K\usk\kg}[\J\per\K\usk\kg]% +\newphysicsquantity{youngsmodulus}% + {\reciprocal\m\usk\kg\usk\s\reciprocalsquared}% + [\N\per\m\squared]% + [\Pa] +\newphysicsquantity{stress}% + {\reciprocal\m\usk\kg\usk\s\reciprocalsquared}% + [\N\per\m\squared]% + [\Pa] +\newphysicsquantity{pressure}% + {\reciprocal\m\usk\kg\usk\s\reciprocalsquared}% + [\N\per\m\squared]% + [\Pa] +\newphysicsquantity{strain}% + {}% + []% + [] +\newphysicsquantity{work}% + {\m\squared\usk\kg\usk\s\reciprocalsquared}% + [\N\usk\m]% + [\J] +\newphysicsquantity{energy}% + {\m\squared\usk\kg\usk\s\reciprocalsquared}% + [\N\usk\m]% + [\J] +\newphysicsquantity{power}% + {\m\squared\usk\kg\usk\s\reciprocalcubed}% + [\J\per\s]% + [\W] +\newphysicsquantity{specificheatcapacity}% + {\J\per\K\usk\kg}% + [\J\per\K\usk\kg]% [\J\per\K\usk\kg] -\newphysicsquantity{angularvelocity}{\rad\usk\reciprocal\s}[\rad\per\s][\rad\per\s] -\newphysicsquantity{angularacceleration}{\rad\usk\s\reciprocalsquared}% - [\rad\per\s\squared][\rad\per\s\squared] -\newphysicsquantity{angularmomentum}{\m\squared\usk\kg\usk\reciprocal\s}[\J\usk\s]% - [\kg\usk\m\squared\per\s] -\newphysicsquantity{momentofinertia}{\m\squared\usk\kg}[\J\usk\s\squared]% - [\kg\usk\m\squared] -\newphysicsquantity{torque}{\m\squared\usk\kg\usk\s\reciprocalsquared}[\J\per\rad]% - [\N\usk\m] -\newphysicsquantity{entropy}{\m\squared\usk\kg\usk\s\reciprocalsquared\usk\reciprocal\K} - [\J\per\K][\J\per\K] -\newphysicsquantity{wavelength}{\m}[\m][\m] -\newphysicsquantity{wavenumber}{\reciprocal\m}[\per\m][\per\m] -\newphysicsquantity{frequency}{\reciprocal\s}[\hertz][\hertz] -\newphysicsquantity{angularfrequency}{\rad\usk\reciprocal\s}[\rad\per\s][\rad\per\s] -\newphysicsquantity{charge}{\A\usk\s}[\C][\C] -\newphysicsquantity{permittivity} -{\m\reciprocalcubed\usk\reciprocal\kg\usk\s\reciprocalquarted\usk\A\squared}% - [\F\per\m][\C\squared\per\N\usk\m\squared] +\newphysicsquantity{angularvelocity}% + {\rad\usk\reciprocal\s}% + [\rad\per\s]% + [\rad\per\s] +\newphysicsquantity{angularacceleration}% + {\rad\usk\s\reciprocalsquared}% + [\rad\per\s\squared]% + [\rad\per\s\squared] +\newphysicsquantity{momentofinertia}% + {\m\squared\usk\kg}% + [\m\usk\kg\squared]% + [\J\usk\s\squared] +\ifthenelse{\boolean{@optuseradians}} + {% + \newphysicsquantity{angularmomentum}% + {\m\squared\usk\kg\usk\reciprocal\s\usk\reciprocal\rad}% + [\N\usk\m\usk\s\per\rad]% + [\m\squared\usk\kg\usk\reciprocal\s\usk\reciprocal\rad] + \newphysicsquantity{angularimpulse}% + {\m\squared\usk\kg\usk\reciprocal\s\usk\reciprocal\rad}% + [\N\usk\m\usk\s\per\rad]% + [\J\usk\s\per\rad] + \newphysicsquantity{torque}% + {\m\squared\usk\kg\usk\s\reciprocalsquared\usk\reciprocal\rad}% + [\N\usk\m\per\rad]% + [\J\per\rad] + }% + {% + \newphysicsquantity{angularmomentum}% + {\m\squared\usk\kg\usk\reciprocal\s}% + [\N\usk\m\usk\s]% + [\m\squared\usk\kg\usk\reciprocal\s] + \newphysicsquantity{angularimpulse}% + {\m\squared\usk\kg\usk\reciprocal\s}% + [\N\usk\m\usk\s]% + [\J\usk\s] + \newphysicsquantity{torque}% + {\m\squared\usk\kg\usk\s\reciprocalsquared}% + [\N\usk\m]% + [\J] + }% +\newphysicsquantity{entropy}% + {\m\squared\usk\kg\usk\s\reciprocalsquared\usk\reciprocal\K}% + [\J\per\K]% + [\J\per\K] +\newphysicsquantity{wavelength}% + {\m}% + [\m]% + [\m] +\newphysicsquantity{wavenumber}% + {\reciprocal\m}% + [\per\m]% + [\per\m] +\newphysicsquantity{frequency}% + {\reciprocal\s}% + [\hertz]% + [\hertz] +\newphysicsquantity{angularfrequency}% + {\rad\usk\reciprocal\s}% + [\rad\per\s]% + [\rad\per\s] +\newphysicsquantity{charge}% + {\A\usk\s}% + [\C]% + [\C] +\newphysicsquantity{permittivity}% + {\m\reciprocalcubed\usk\reciprocal\kg\usk\s\reciprocalquarted\usk\A\squared}% + [\F\per\m]% + [\C\squared\per\N\usk\m\squared] \newphysicsquantity{permeability}% - {\m\usk\kg\usk\s\reciprocalsquared\usk\A\reciprocalsquared}[\henry\per\m]% + {\m\usk\kg\usk\s\reciprocalsquared\usk\A\reciprocalsquared}% + [\henry\per\m]% [\T\usk\m\per\A] -\newphysicsquantity{electricfield}{\m\usk\kg\usk\s\reciprocalcubed\usk\reciprocal\A}% - [\V\per\m][\N\per\C] -\newphysicsquantity{electricdipolemoment}{\m\usk\s\usk\A}[\C\usk\m][\C\usk\m] +\newphysicsquantity{electricfield}% + {\m\usk\kg\usk\s\reciprocalcubed\usk\reciprocal\A}% + [\V\per\m]% + [\N\per\C] +\newphysicsquantity{electricdipolemoment}% + {\m\usk\s\usk\A}% + [\C\usk\m]% + [\C\usk\m] \newphysicsquantity{electricflux}% {\m\cubed\usk\kg\usk\s\reciprocalcubed\usk\reciprocal\A}% - [\V\usk\m][\N\usk\m\squared\per\C] -\newphysicsquantity{magneticfield}{\kg\usk\s\reciprocalsquared\usk\reciprocal\A}[\T]% + [\V\usk\m]% + [\N\usk\m\squared\per\C] +\newphysicsquantity{magneticfield}% + {\kg\usk\s\reciprocalsquared\usk\reciprocal\A}% + [\T]% [\N\per\C\usk(\m\per\s)] % also \Wb\per\m\squared \newphysicsquantity{magneticflux}% - {\m\squared\usk\kg\usk\s\reciprocalsquared\usk\reciprocal\A}[\volt\usk\s]% + {\m\squared\usk\kg\usk\s\reciprocalsquared\usk\reciprocal\A}% + [\volt\usk\s]% [\T\usk\m\squared] % also \Wb and \J\per\A -\newphysicsquantity{cmagneticfield}{\m\usk\kg\usk\s\reciprocalcubed\usk\reciprocal\A}% - [\V\per\m][\N\per\C] -\newphysicsquantity{linearchargedensity}{\reciprocal\m\usk\s\usk\A}[\C\per\m][\C\per\m] -\newphysicsquantity{areachargedensity}{\reciprocalsquare\m\usk\s\usk\A}% - [\C\per\square\m][\C\per\square\m] -\newphysicsquantity{volumechargedensity}{\reciprocalcubic\m\usk\s\usk\A}% - [\C\per\cubic\m][\C\per\cubic\m] +\newphysicsquantity{cmagneticfield}% + {\m\usk\kg\usk\s\reciprocalcubed\usk\reciprocal\A}% + [\V\per\m]% + [\N\per\C] +\newphysicsquantity{linearchargedensity}% + {\reciprocal\m\usk\s\usk\A}% + [\C\per\m]% + [\C\per\m] +\newphysicsquantity{areachargedensity}% + {\reciprocalsquare\m\usk\s\usk\A}% + [\C\per\square\m]% + [\C\per\square\m] +\newphysicsquantity{volumechargedensity}% + {\reciprocalcubic\m\usk\s\usk\A}% + [\C\per\cubic\m]% + [\C\per\cubic\m] \newphysicsquantity{mobility}% - {\m\squared\usk\kg\usk\s\reciprocalquarted\usk\reciprocal\A}[\m\squared\per\volt\usk\s] + {\m\squared\usk\kg\usk\s\reciprocalquarted\usk\reciprocal\A}% + [\m\squared\per\volt\usk\s]% [(\m\per\s)\per(\N\per\C)] -\newphysicsquantity{numberdensity}{\reciprocalcubic\m}[\per\cubic\m][\per\cubic\m] -\newphysicsquantity{polarizability}{\reciprocal\kg\usk\s\quarted\usk\square\A}% - [\C\usk\square\m\per\V][\C\usk\m\per(\N\per\C)] +\newphysicsquantity{numberdensity}% + {\reciprocalcubic\m}% + [\per\cubic\m]% + [\per\cubic\m] +\newphysicsquantity{polarizability}% + {\reciprocal\kg\usk\s\quarted\usk\square\A}% + [\C\usk\square\m\per\V]% + [\C\usk\m\per(\N\per\C)] \newphysicsquantity{electricpotential}% - {\square\m\usk\kg\usk\reciprocalcubic\s\usk\reciprocal\A}[\J\per\C][\V] -\newphysicsquantity{emf}{\square\m\usk\kg\usk\reciprocalcubic\s\usk\reciprocal\A}% - [\J\per\C][\V] -\newphysicsquantity{dielectricconstant}{}[][] -\newphysicsquantity{indexofrefraction}{}[][] -\newphysicsquantity{relativepermittivity}{}[][] -\newphysicsquantity{relativepermeability}{}[][] -\newphysicsquantity{energydensity}{\m\reciprocaled\usk\kg\usk\reciprocalsquare\s}% - [\J\per\cubic\m][\J\per\cubic\m] -\newphysicsquantity{energyflux}{\kg\usk\s\reciprocalcubed}% - [\W\per\m\squared][\W\per\m\squared] -\newphysicsquantity{electroncurrent}{\reciprocal\s}% - [\ensuremath{\mathrm{e}}\per\s][\ensuremath{\mathrm{e}}\per\s] -\newphysicsquantity{conventionalcurrent}{\A}[\C\per\s][\A] -\newphysicsquantity{magneticdipolemoment}{\square\m\usk\A}[\J\per\T][\A\usk\square\m] -\newphysicsquantity{currentdensity}{\reciprocalsquare\m\usk\A}[\C\usk\s\per\square\m]% + {\square\m\usk\kg\usk\reciprocalcubic\s\usk\reciprocal\A}% + [\J\per\C]% + [\V] +\newphysicsquantity{emf}% + {\square\m\usk\kg\usk\reciprocalcubic\s\usk\reciprocal\A}% + [\J\per\C]% + [\V] +\newphysicsquantity{dielectricconstant}% + {}% + []% + [] +\newphysicsquantity{indexofrefraction}% + {}% + []% + [] +\newphysicsquantity{relativepermittivity}% + {}% + []% + [] +\newphysicsquantity{relativepermeability} + {}% + []% + [] +\newphysicsquantity{energydensity}% + {\m\reciprocaled\usk\kg\usk\reciprocalsquare\s}% + [\J\per\cubic\m]% + [\J\per\cubic\m] +\newphysicsquantity{energyflux}% + {\kg\usk\s\reciprocalcubed}% + [\W\per\m\squared]% + [\W\per\m\squared] +\newphysicsquantity{electroncurrent}% + {\reciprocal\s}% + [\ensuremath{\mathrm{e}}\per\s]% + [\ensuremath{\mathrm{e}}\per\s] +\newphysicsquantity{conventionalcurrent}% + {\A}% + [\C\per\s]% + [\A] +\newphysicsquantity{magneticdipolemoment}% + {\square\m\usk\A}% + [\J\per\T]% + [\A\usk\square\m] +\newphysicsquantity{currentdensity}% + {\reciprocalsquare\m\usk\A}% + [\C\usk\s\per\square\m]% [\A\per\square\m] \newphysicsquantity{capacitance}% - {\reciprocalsquare\m\usk\reciprocal\kg\usk\quartic\s\usk\square\A}[\F][\C\per\V] - % also \C\squared\per\N\usk\m, \s\per\ohm + {\reciprocalsquare\m\usk\reciprocal\kg\usk\quartic\s\usk\square\A}% + [\F]% + [\C\per\V] % also \C\squared\per\N\usk\m, \s\per\ohm \newphysicsquantity{inductance}% - {\square\m\usk\kg\usk\reciprocalsquare\s\usk\reciprocalsquare\A}[\henry]% + {\square\m\usk\kg\usk\reciprocalsquare\s\usk\reciprocalsquare\A}% + [\henry]% [\volt\usk\s\per\A] % also \square\m\usk\kg\per\C\squared, \Wb\per\A \newphysicsquantity{conductivity}% - {\reciprocalcubic\m\usk\reciprocal\kg\usk\cubic\s\usk\square\A}[\siemens\per\m]% + {\reciprocalcubic\m\usk\reciprocal\kg\usk\cubic\s\usk\square\A}% + [\siemens\per\m]% [(\A\per\square\m)\per(\V\per\m)] \newphysicsquantity{resistivity}% - {\cubic\m\usk\kg\usk\reciprocalcubic\s\usk\reciprocalsquare\A}[\ohm\usk\m]% + {\cubic\m\usk\kg\usk\reciprocalcubic\s\usk\reciprocalsquare\A}% + [\ohm\usk\m]% [(\V\per\m)\per(\A\per\square\m)] \newphysicsquantity{resistance}% - {\square\m\usk\kg\usk\reciprocalcubic\s\usk\reciprocalsquare\A}[\V\per\A][\ohm] + {\square\m\usk\kg\usk\reciprocalcubic\s\usk\reciprocalsquare\A}% + [\V\per\A]% + [\ohm] \newphysicsquantity{conductance}% - {\reciprocalsquare\m\usk\reciprocal\kg\usk\cubic\s\usk\square\A}[\A\per\V][\siemens] -\newphysicsquantity{magneticcharge}{\m\usk\A}[\m\usk\A][\m\usk\A] + {\reciprocalsquare\m\usk\reciprocal\kg\usk\cubic\s\usk\square\A}% + [\A\per\V]% + [\siemens] +\newphysicsquantity{magneticcharge}% + {\m\usk\A}% + [\m\usk\A]% + [\m\usk\A] \newcommand*{\lv}{\ensuremath{\left\langle}} \newcommand*{\rv}{\ensuremath{\right\rangle}} \ExplSyntaxOn % Written in LaTeX3 @@ -439,14 +644,15 @@ {% \clist_set:Nn \l_tmpa_clist { #1 } \ensuremath{% - \sqrt{(\clist_use:Nnnn \l_tmpa_clist { )^2+( } { )^2+( } { )^2+( } )^2 } + \sqrt{\left(\clist_use:Nnnn \l_tmpa_clist { \right)^2+\left( } { \right)^2+ + \left( } { \right)^2+\left( } \right)^2 } }% }% {% \clist_set:Nn \l_tmpa_clist { #1 } \ensuremath{% - \sqrt{(\clist_use:Nnnn \l_tmpa_clist {\;{ #2 })^2+(} {\;{ #2 })^2+(} - {\;{ #2 })^2+(} \;{ #2 })^2} + \sqrt{\left(\clist_use:Nnnn \l_tmpa_clist {\;{ #2 }\right)^2+\left(} {\; + { #2 }\right)^2+\left(} {\;{ #2 }\right)^2+\left(} \;{ #2 }\right)^2} }% }% }% @@ -459,7 +665,7 @@ {\newcommand*{\vect}[1]{\ensuremath{\vv{\mathrm{#1}}}}} {\newcommand*{\vect}[1]{\ensuremath{\vv{#1}}}}} \ifthenelse{\boolean{@optsingleabsbars}} - {\newcommand*{\magvect}[1]{\ensuremath{\abs{\vect{#1}}}}} + {\newcommand*{\magvect}[1]{\ensuremath{\absof{\vect{#1}}}}} {\newcommand*{\magvect}[1]{\ensuremath{\magof{\vect{#1}}}}} \newcommand*{\magsquaredvect}[1]{\ensuremath{\magvect{#1}\squared}} \newcommand*{\magnvect}[2]{\ensuremath{\magvect{#1}^{#2}}} @@ -471,6 +677,15 @@ {\newcommand*{\dirvect}[1]{\ensuremath{\widehat{\mathrm{#1}}}}} {\newcommand*{\dirvect}[1]{\ensuremath{\widehat{#1}}}}} \newcommand*{\direction}{\dirvect} +\newcommand*{\componentalong}[2]{\ensuremath{\mathrm{comp}_{#1}{#2}}} +\newcommand*{\expcomponentalong}[2]{\ensuremath{\frac{\vectdotvect{#2}{#1}} +{\magof{#1}}}} +\newcommand*{\ucomponentalong}[2]{\ensuremath{\vectdotvect{#2}{#1}}} +\newcommand*{\projectiononto}[2]{\ensuremath{\mathrm{proj}_{#1}{#2}}} +\newcommand*{\expprojectiononto}[2]{\ensuremath{% + \inparens{\frac{\vectdotvect{#2}{#1}}{\magof{#1}}}\frac{#1}{\magof{#1}}}} +\newcommand*{\uprojectiononto}[2]{\ensuremath{% + \inparens{\vectdotvect{#2}{#1}}#1}} \ifthenelse{\boolean{@optromanvectors}} {\newcommand*{\compvect}[2]{\ensuremath{\ssub{\mathrm{#1}}{\(#2\)}}}} {\newcommand*{\compvect}[2]{\ensuremath{\ssub{#1}{\(#2\)}}}} @@ -478,6 +693,15 @@ \compvect{#1}{x},% \compvect{#1}{y},% \compvect{#1}{z}\rv}} +\newcommand*{\scompsdirvect}[1]{\ensuremath{\lv% + \compvect{\widehat{#1}}{x},% + \compvect{\widehat{#1}}{y},% + \compvect{\widehat{#1}}{z}\rv}} +\ifthenelse{\boolean{@optromanvectors}} + {\newcommand*{\compdirvect}[2]{\ensuremath{% + \ssub{\widehat{\mathrm{#1}}}{\(#2\)}}}} + {\newcommand*{\compdirvect}[2]{\ensuremath{% + \ssub{\widehat{#1}}{\(#2\)}}}} \newcommand*{\magvectscomps}[1]{\ensuremath{\sqrt{% \compvect{#1}{x}\squared +% \compvect{#1}{y}\squared +% @@ -491,8 +715,8 @@ \newcommand*{\Ddirvect}[1]{\ensuremath{\Delta\dirvect{#1}}} \newcommand*{\Ddirection}{\Ddirvect} \ifthenelse{\boolean{@optsingleabsbars}} - {\newcommand*{\magdvect}[1]{\ensuremath{\abs{\dvect{#1}}}} - \newcommand*{\magDvect}[1]{\ensuremath{\abs{\Dvect{#1}}}}} + {\newcommand*{\magdvect}[1]{\ensuremath{\absof{\dvect{#1}}}} + \newcommand*{\magDvect}[1]{\ensuremath{\absof{\Dvect{#1}}}}} {\newcommand*{\magdvect}[1]{\ensuremath{\magof{\dvect{#1}}}} \newcommand*{\magDvect}[1]{\ensuremath{\magof{\Dvect{#1}}}}} \newcommand*{\compdvect}[2]{\ensuremath{\mathrm{d}\compvect{#1}{#2}}} @@ -518,8 +742,8 @@ \compDervect{#1}{y}{#2},% \compDervect{#1}{z}{#2}\rv}} \ifthenelse{\boolean{@optsingleabsbars}} - {\newcommand*{\magdervect}[2]{\ensuremath{\abs{\dervect{#1}{#2}}}} - \newcommand*{\magDervect}[2]{\ensuremath{\abs{\Dervect{#1}{#2}}}}} + {\newcommand*{\magdervect}[2]{\ensuremath{\absof{\dervect{#1}{#2}}}} + \newcommand*{\magDervect}[2]{\ensuremath{\absof{\Dervect{#1}{#2}}}}} {\newcommand*{\magdervect}[2]{\ensuremath{\magof{\dervect{#1}{#2}}}} \newcommand*{\magDervect}[2]{\ensuremath{\magof{\Dervect{#1}{#2}}}}} \newcommand*{\dermagvect}[2]{\ensuremath{\dbyd{\magvect{#1}}{#2}}} @@ -541,7 +765,7 @@ \compvectsub{#1}{#2}{y},% \compvectsub{#1}{#2}{z}\rv}} \ifthenelse{\boolean{@optsingleabsbars}} - {\newcommand*{\magvectsub}[2]{\ensuremath{\abs{\vectsub{#1}{#2}}}}} + {\newcommand*{\magvectsub}[2]{\ensuremath{\absof{\vectsub{#1}{#2}}}}} {\newcommand*{\magvectsub}[2]{\ensuremath{\magof{\vectsub{#1}{#2}}}}} \newcommand*{\magsquaredvectsub}[2]{\ensuremath{\magvectsub{#1}{#2}\squared}} \newcommand*{\magnvectsub}[3]{\ensuremath{\magvectsub{#1}{#2}^{#3}}} @@ -570,8 +794,8 @@ \newcommand*{\dervectsub}[3]{\ensuremath{\dbyd{\vectsub{#1}{#2}}{#3}}} \newcommand*{\Dervectsub}[3]{\ensuremath{\DbyD{\vectsub{#1}{#2}}{#3}}} \ifthenelse{\boolean{@optsingleabsbars}} - {\newcommand*{\magdervectsub}[3]{\ensuremath{\abs{\dervectsub{#1}{#2}{#3}}}} - \newcommand*{\magDervectsub}[3]{\ensuremath{\abs{\Dervectsub{#1}{#2}{#3}}}}} + {\newcommand*{\magdervectsub}[3]{\ensuremath{\absof{\dervectsub{#1}{#2}{#3}}}} + \newcommand*{\magDervectsub}[3]{\ensuremath{\absof{\Dervectsub{#1}{#2}{#3}}}}} {\newcommand*{\magdervectsub}[3]{\ensuremath{\magof{\dervectsub{#1}{#2}{#3}}}} \newcommand*{\magDervectsub}[3]{\ensuremath{\magof{\Dervectsub{#1}{#2}{#3}}}}} \newcommand*{\compdervectsub}[4]{\ensuremath{\dbyd{\compvectsub{#1}{#2}{#3}}{#4}}} @@ -666,26 +890,29 @@ \compDervect{#1}{x}{#2}\compDvect{#3}{x}+% \compDervect{#1}{y}{#2}\compDvect{#3}{y}+% \compDervect{#1}{z}{#2}\compDvect{#3}{z}}} -\newcommand*{\vectcrossvect}[2]{\ensuremath{{#1}\boldsymbol{\times}{#2}}} -\newcommand*{\ltriplecross}[3]{\ensuremath{({#1}\boldsymbol{\times}{#2})% - \boldsymbol{\times}{#3}}} +\newcommand*{\vectcrossvect}[2]{\ensuremath{% + {#1}\boldsymbol{\times}{#2}}} +\newcommand*{\ltriplecross}[3]{\ensuremath{% + \inparens{{#1}\boldsymbol{\times}{#2}}\boldsymbol{\times}{#3}}} \newcommand*{\rtriplecross}[3]{\ensuremath{{#1}\boldsymbol{\times}% - ({#2}\boldsymbol{\times}{#3})}} -\newcommand*{\ltriplescalar}[3]{\ensuremath{{#1}\boldsymbol{\times}{#2}\bullet{#3}}} -\newcommand*{\rtriplescalar}[3]{\ensuremath{{#1}\bullet{#2}\boldsymbol{\times}{#3}}} -\newcommand*{\ezero}{\ensuremath{\msub{\boldsymbol{e}}{0}}} -\newcommand*{\eone}{\ensuremath{\msub{\boldsymbol{e}}{1}}} -\newcommand*{\etwo}{\ensuremath{\msub{\boldsymbol{e}}{2}}} -\newcommand*{\ethree}{\ensuremath{\msub{\boldsymbol{e}}{3}}} -\newcommand*{\efour}{\ensuremath{\msub{\boldsymbol{e}}{4}}} -\newcommand*{\ek}[1]{\ensuremath{\msub{\boldsymbol{e}}{#1}}} + \inparens{{#2}\boldsymbol{\times}{#3}}}} +\newcommand*{\ltriplescalar}[3]{\ensuremath{% + {#1}\boldsymbol{\times}{#2}\bullet{#3}}} +\newcommand*{\rtriplescalar}[3]{\ensuremath{% + {#1}\bullet{#2}\boldsymbol{\times}{#3}}} +\newcommand*{\ezero}{\ensuremath{\boldsymbol{e}_0}} +\newcommand*{\eone}{\ensuremath{\boldsymbol{e}_1}} +\newcommand*{\etwo}{\ensuremath{\boldsymbol{e}_2}} +\newcommand*{\ethree}{\ensuremath{\boldsymbol{e}_3}} +\newcommand*{\efour}{\ensuremath{\boldsymbol{e}_4}} +\newcommand*{\ek}[1]{\ensuremath{\boldsymbol{e}_{#1}}} \newcommand*{\e}{\ek} -\newcommand*{\uezero}{\ensuremath{\msub{\widehat{\boldsymbol{e}}}{0}}} -\newcommand*{\ueone}{\ensuremath{\msub{\widehat{\boldsymbol{e}}}{1}}} -\newcommand*{\uetwo}{\ensuremath{\msub{\widehat{\boldsymbol{e}}}{2}}} -\newcommand*{\uethree}{\ensuremath{\msub{\widehat{\boldsymbol{e}}}{3}}} -\newcommand*{\uefour}{\ensuremath{\msub{\widehat{\boldsymbol{e}}}{4}}} -\newcommand*{\uek}[1]{\ensuremath{\msub{\widehat{\boldsymbol{e}}}{#1}}} +\newcommand*{\uezero}{\ensuremath{\widehat{\boldsymbol{e}}_0}} +\newcommand*{\ueone}{\ensuremath{\widehat{\boldsymbol{e}}_1}} +\newcommand*{\uetwo}{\ensuremath{\widehat{\boldsymbol{e}}_2}} +\newcommand*{\uethree}{\ensuremath{\widehat{\boldsymbol{e}}_3}} +\newcommand*{\uefour}{\ensuremath{\widehat{\boldsymbol{e}}_4}} +\newcommand*{\uek}[1]{\ensuremath{\widehat{\boldsymbol{e}}_{#1}}} \newcommand*{\ue}{\uek} \newcommand*{\ezerozero}{\ek{00}} \newcommand*{\ezeroone}{\ek{01}} @@ -715,6 +942,13 @@ \newcommand*{\eufour}{\ensuremath{\boldsymbol{e}^4}} \newcommand*{\euk}[1]{\ensuremath{\boldsymbol{e}^{#1}}} \newcommand*{\eu}{\euk} +\newcommand*{\ueuzero}{\ensuremath{\widehat{\boldsymbol{e}}^0}} +\newcommand*{\ueuone}{\ensuremath{\widehat{\boldsymbol{e}}^1}} +\newcommand*{\ueutwo}{\ensuremath{\widehat{\boldsymbol{e}}^2}} +\newcommand*{\ueuthree}{\ensuremath{\widehat{\boldsymbol{e}}^3}} +\newcommand*{\ueufour}{\ensuremath{\widehat{\boldsymbol{e}}^4}} +\newcommand*{\ueuk}[1]{\ensuremath{\widehat{\boldsymbol{e}}^{#1}}} +\newcommand*{\ueu}{\ueuk} \newcommand*{\euzerozero}{\euk{00}} \newcommand*{\euzeroone}{\euk{01}} \newcommand*{\euzerotwo}{\euk{02}} @@ -736,12 +970,12 @@ \newcommand*{\eufourtwo}{\euk{42}} \newcommand*{\eufourthree}{\euk{43}} \newcommand*{\eufourfour}{\euk{44}} -\newcommand*{\gzero}{\ensuremath{\msub{\boldsymbol{\gamma}}{0}}} -\newcommand*{\gone}{\ensuremath{\msub{\boldsymbol{\gamma}}{1}}} -\newcommand*{\gtwo}{\ensuremath{\msub{\boldsymbol{\gamma}}{2}}} -\newcommand*{\gthree}{\ensuremath{\msub{\boldsymbol{\gamma}}{3}}} -\newcommand*{\gfour}{\ensuremath{\msub{\boldsymbol{\gamma}}{4}}} -\newcommand*{\gk}[1]{\ensuremath{\msub{\boldsymbol{\gamma}}{#1}}} +\newcommand*{\gzero}{\ensuremath{\boldsymbol{\gamma}_0}} +\newcommand*{\gone}{\ensuremath{\boldsymbol{\gamma}_1}} +\newcommand*{\gtwo}{\ensuremath{\boldsymbol{\gamma}_2}} +\newcommand*{\gthree}{\ensuremath{\boldsymbol{\gamma}_3}} +\newcommand*{\gfour}{\ensuremath{\boldsymbol{\gamma}_4}} +\newcommand*{\gk}[1]{\ensuremath{\boldsymbol{\gamma}_{#1}}} \newcommand*{\g}{\gk} \newcommand*{\gzerozero}{\gk{00}} \newcommand*{\gzeroone}{\gk{01}} @@ -840,6 +1074,15 @@ \colvector{\msub{#2}{0},\msub{#2}{1},\msub{#2}{2},\msub{#2}{3}}% }% }% +\newcommandx{\scompsCvect}[2][1,usedefault]{% + \ifthenelse{\equal{#1}{}}% + {% + \colvector{\msup{#2}{1},\msup{#2}{2},\msup{#2}{3}}% + }% + {% + \colvector{\msup{#2}{0},\msup{#2}{1},\msup{#2}{2},\msup{#2}{3}}% + }% +}% \newcommandx{\scompsrvect}[2][1,usedefault]{% \ifthenelse{\equal{#1}{}}% {% @@ -849,131 +1092,314 @@ \rowvector[,]{\msub{#2}{0},\msub{#2}{1},\msub{#2}{2},\msub{#2}{3}}% }% }% -\newphysicsconstant{oofpez}{\ensuremath{\frac{1} -{\phantom{_o}4\pi\epsilon_0}}}{\mi@p{9}{8.9876}\timestento{9}} -{\m\cubed\usk\kg\usk\reciprocalquartic\s\usk\A\reciprocalsquared}[\m\per\farad] -[\newton\usk\m\squared\per\coulomb\squared] +\newcommandx{\scompsRvect}[2][1,usedefault]{% + \ifthenelse{\equal{#1}{}}% + {% + \rowvector[,]{\msup{#2}{1},\msup{#2}{2},\msup{#2}{3}}% + }% + {% + \rowvector[,]{\msup{#2}{0},\msup{#2}{1},\msup{#2}{2},\msup{#2}{3}}% + }% +}% +\newcommand*{\bra}[1]{\ensuremath{\left\langle{#1}\right\lvert}} +\newcommand*{\ket}[1]{\ensuremath{\left\lvert{#1}\right\rangle}} +\newcommand*{\bracket}[2]{\ensuremath{\left\langle{#1}\!\!\right.% + \left\lvert{#2}\right\rangle}} +\newphysicsconstant{oofpez}% + {\ensuremath{\frac{1}{\phantom{_o}4\pi\epsilon_0}}}% + {\mi@p{9}{8.9876}\timestento{9}}% + {\m\cubed\usk\kg\usk\reciprocalquartic\s\usk\A\reciprocalsquared}% + [\m\per\farad]% + [\newton\usk\m\squared\per\coulomb\squared] +\newphysicsconstant{oofpezcs}% + {\ensuremath{\frac{1}{\phantom{_o}4\pi\epsilon_0 c^2\phantom{_o}}}}% + {\tento{-7}}% + {\m\usk\kg\usk\s\reciprocalsquared\usk\A\reciprocalsquared}% + [\T\usk\m\squared]% + [\N\usk\s\squared\per\C\squared] +\newphysicsconstant{vacuumpermittivity}% + {\ensuremath{\epsilon_0}}% + {\mi@p{9.0}{8.8542}\timestento{-12}}% + {\m\reciprocalcubed\usk\reciprocal\kg\usk\s\quarted\usk\A\squared}% + [\F\per\m]% + [\C\squared\per\N\usk\m\squared] +\newphysicsconstant{mzofp}% + {\ensuremath{\frac{\phantom{_oo}\mu_0\phantom{_o}}{4\pi}}}% + {\tento{-7}}% + {\m\usk\kg\usk\s\reciprocalsquared\usk\A\reciprocalsquared}% + [\henry\per\m]% + [\tesla\usk\m\per\A] +\newphysicsconstant{vacuumpermeability}% + {\ensuremath{\mu_0}}% + {4\pi\timestento{-7}}% + {\m\usk\kg\usk\s\reciprocalsquared\usk\A\reciprocalsquared}% + [\henry\per\m]% + [\T\usk\m\per\A] +\newphysicsconstant{boltzmann}% + {\ensuremath{k_B}}% + {\mi@p{1.4}{1.3806}\timestento{-23}}% + {\m\squared\usk\kg\usk\reciprocalsquare\s\usk\reciprocal\K}% + [\joule\per\K]% + [\J\per\K] +\newphysicsconstant{boltzmannineV}% + {\ensuremath{k_B}}% + {\mi@p{8.6}{8.6173}\timestento{-5}}% + {\eV\usk\reciprocal\K}% + [\eV\per\K]% + [\eV\per\K] +\newphysicsconstant{stefanboltzmann}% + {\ensuremath{\sigma}}% + {\mi@p{5.7}{5.6704}\timestento{-8}}% + {\kg\usk\s\reciprocalcubed\usk\K\reciprocalquarted}% + [\W\per\m\squared\usk\K^4]% + [\W\per\m\squared\usk\K\quarted] +\newphysicsconstant{planck}% + {\ensuremath{h}}% + {\mi@p{6.6}{6.6261}\timestento{-34}}% + {\m\squared\usk\kg\usk\reciprocal\s}% + [\J\usk\s]% + [\J\usk\s] +\newphysicsconstant{planckineV}% + {\ensuremath{h}}% + {\mi@p{4.1}{4.1357}\timestento{-15}}% + {\eV\usk\s}% + [\eV\usk\s]% + [\eV\usk\s] +\newphysicsconstant{planckbar}% + {\ensuremath{\hslash}}% + {\mi@p{1.1}{1.0546}\timestento{-34}}% + {\m\squared\usk\kg\usk\reciprocal\s}% + [\J\usk\s]% + [\J\usk\s] +\newphysicsconstant{planckbarineV}% + {\ensuremath{\hslash}}% + {\mi@p{6.6}{6.5821}\timestento{-16}}% + {\eV\usk\s}% + [\eV\usk\s]% + [\eV\usk\s] +\newphysicsconstant{planckc}% + {\ensuremath{hc}}% + {\mi@p{2.0}{1.9864}\timestento{-25}}% + {\m\cubed\usk\kg\usk\reciprocalsquare\s}% + [\J\usk\m]% + [\J\usk\m] +\newphysicsconstant{planckcineV}% + {\ensuremath{hc}}% + {\mi@p{2.0}{1.9864}\timestento{-25}}% + {\eV\usk\text{n}\m}% + [\eV\usk\text{n}\m]% + [\eV\usk\text{n}\m] +\newphysicsconstant{rydberg}% + {\ensuremath{\msub{R}{\infty}}}% + {\mi@p{1.1}{1.0974}\timestento{7}}% + {\reciprocal\m}% + [\reciprocal\m]% + [\reciprocal\m] +\newphysicsconstant{bohrradius}% + {\ensuremath{a_0}}% + {\mi@p{5.3}{5.2918}\timestento{-11}}% + {\m}% + [\m]% + [\m] +\newphysicsconstant{finestructure}% + {\ensuremath{\alpha}}% + {\mi@p{\frac{1}{137}}{7.2974\timestento{-3}}}% + {}% + []% + [] +\newphysicsconstant{avogadro}% + {\ensuremath{N_A}}% + {\mi@p{6.0}{6.0221}\timestento{23}}% + {\reciprocal\mol}% + [\reciprocal\mol]% + [\reciprocal\mol] +\newphysicsconstant{universalgrav}% + {\ensuremath{G}}% + {\mi@p{6.7}{6.6738}\timestento{-11}}% + {\m\cubed\usk\reciprocal\kg\usk\s\reciprocalsquared}% + [\J\usk\m\per\kg\squared]% + [\N\usk\m\squared\per\kg\squared] +\newphysicsconstant{surfacegravfield}% + {\ensuremath{g}}% + {\mi@p{9.8}{9.80}}% + {\m\usk\s\reciprocalsquared}% + [\N\per\kg]% + [\N\per\kg] +\newphysicsconstant{clight}% + {\ensuremath{c}}% + {\mi@p{3}{2.9979}\timestento{8}}% + {\m\usk\reciprocal\s}% + [\m\per\s]% + [\m\per\s] +\newphysicsconstant{clightinfeet}% + {\ensuremath{c}}% + {\mi@p{1}{0.9836}}% + {\text{ft}\usk\reciprocal{\text{n}\s}}% + [\text{ft}\per\text{n}\s]% + [\text{ft}\per\mathrm{n}\s] +\newphysicsconstant{Ratom}% + {\ensuremath{r_{\text{atom}}}}% + {\tento{-10}}% + {\m}% + [\m]% + [\m] +\newphysicsconstant{Mproton}% + {\ensuremath{m_p}}% + {\mi@p{1.7}{1.6726}\timestento{-27}}% + {\kg}% + [\kg]% + [\kg] +\newphysicsconstant{Mneutron}% + {\ensuremath{m_n}}% + {\mi@p{1.7}{1.6749}\timestento{-27}}% + {\kg}% + [\kg]% + [\kg] +\newphysicsconstant{Mhydrogen}% + {\ensuremath{m_H}}% + {\mi@p{1.7}{1.6737}\timestento{-27}}% + {\kg}% + [\kg]% + [\kg] +\newphysicsconstant{Melectron}% + {\ensuremath{m_e}}% + {\mi@p{9.1}{9.1094}\timestento{-31}}% + {\kg}% + [\kg]% + [\kg] +\newphysicsconstant{echarge}% + {\ensuremath{e}}% + {\mi@p{1.6}{1.6022}\timestento{-19}}% + {\A\usk\s}% + [\C]% + [\C] +\newphysicsconstant{Qelectron}% + {\ensuremath{Q_e}}% + {-\echargevalue}% + {\A\usk\s}% + [\C]% + [\C] +\newphysicsconstant{qelectron}% + {\ensuremath{q_e}}% + {-\echargevalue}% + {\A\usk\s}% + [\C]% + [\C] +\newphysicsconstant{Qproton}% + {\ensuremath{Q_p}}% + {+\echargevalue}% + {\A\usk\s}% + [\C]% + [\C] +\newphysicsconstant{qproton}% + {\ensuremath{q_p}}% + {+\echargevalue}% + {\A\usk\s}% + [\C]% + [\C] +\newphysicsconstant{MEarth}% + {\ensuremath{M_{\text{Earth}}}}% + {\mi@p{6.0}{5.9736}\timestento{24}}% + {\kg}% + [\kg]% + [\kg] +\newphysicsconstant{MMoon}% + {\ensuremath{M_{\text{Moon}}}}% + {\mi@p{7.3}{7.3459}\timestento{22}}% + {\kg}% + [\kg]% + [\kg] +\newphysicsconstant{MSun}% + {\ensuremath{M_{\text{Sun}}}}% + {\mi@p{2.0}{1.9891}\timestento{30}}% + {\kg}% + [\kg]% + [\kg] +\newphysicsconstant{REarth}% + {\ensuremath{R_{\text{Earth}}}}% + {\mi@p{6.4}{6.3675}\timestento{6}}% + {\m}% + [\m]% + [\m] +\newphysicsconstant{RMoon}% + {\ensuremath{R_{\text{Moon}}}}% + {\mi@p{1.7}{1.7375}\timestento{6}}% + {\m}% + [\m]% + [\m] +\newphysicsconstant{RSun}% + {\ensuremath{R_{\text{Sun}}}}% + {\mi@p{7.0}{6.9634}\timestento{8}}% + {\m}% + [\m]% + [\m] +\newphysicsconstant{ESdist}% + {\magvectsub{r}{ES}}% + {\mi@p{1.5}{1.4960}\timestento{11}}% + {\m}% + [\m]% + [\m] +\newphysicsconstant{SEdist}% + {\magvectsub{r}{SE}}% + {\mi@p{1.5}{1.4960}\timestento{11}}% + {\m}% + [\m]% + [\m] +\newphysicsconstant{EMdist}% + {\magvectsub{r}{EM}}% + {\mi@p{3.8}{3.8440}\timestento{8}}% + {\m}% + [\m]% + [\m] +\newphysicsconstant{MEdist}% + {\magvectsub{r}{ME}}% + {\mi@p{3.8}{3.8440}\timestento{8}}% + {\m}% + [\m]% + [\m] +\newphysicsconstant{LSun}% + {\ensuremath{L_{\text{Sun}}}}% + {\mi@p{3.8}{3.8460}\timestento{26}}% + {\m\squared\usk\kg\usk\s\reciprocalcubed}% + [\W] + [\J\per\s] +\newphysicsconstant{TSun}% + {\ensuremath{T_{\text{Sun}}}}% + {\mi@p{5800}{5778}}% + {\K}% + [\K]% + [\K] +\newphysicsconstant{MagSun}% + {\ensuremath{M_{\text{Sun}}}}% + {+4.83}% + {}% + []% + [] +\newphysicsconstant{magSun}% + {\ensuremath{m_{\text{Sun}}}}% + {-26.74}% + {}% + []% + [] \newcommand*{\coulombconstant}{\oofpez} -\newphysicsconstant{oofpezcs}{\ensuremath{\frac{1} -{\phantom{_o}4\pi\epsilon_0 c^2\phantom{_o}}}}{\tento{-7}} -{\m\usk\kg\usk\s\reciprocalsquared\usk\A\reciprocalsquared} -[\T\usk\m\squared][\N\usk\s\squared\per\C\squared] \newcommand*{\altcoulombconstant}{\oofpezcs} -\newphysicsconstant{vacuumpermittivity}{\ensuremath{\epsilon_0}} -{\mi@p{9.0}{8.8542}\timestento{-12}} -{\m\reciprocalcubed\usk\reciprocal\kg\usk\s\quarted\usk\A\squared}[\F\per\m] -[\C\squared\per\N\usk\m\squared] -\newphysicsconstant{mzofp} -{\ensuremath{\frac{\phantom{_oo}\mu_0\phantom{_o}}{4\pi}}} -{\tento{-7}}{\m\usk\kg\usk\s\reciprocalsquared\usk\A\reciprocalsquared} -[\henry\per\m][\tesla\usk\m\per\A] \newcommand*{\biotsavartconstant}{\mzofp} -\newphysicsconstant{vacuumpermeability}{\ensuremath{\mu_0}} -{4\pi\timestento{-7}}{\m\usk\kg\usk\s\reciprocalsquared\usk\A\reciprocalsquared} -[\henry\per\m][\T\usk\m\per\A] -\newphysicsconstant{boltzmann}{\ensuremath{k_B}} -{\mi@p{1.4}{1.3806}\timestento{-23}} -{\m\squared\usk\kg\usk\reciprocalsquare\s\usk\reciprocal\K}[\joule\per\K][\J\per\K] \newcommand*{\boltzmannconstant}{\boltzmann} -\newphysicsconstant{boltzmannineV}{\ensuremath{k_B}} -{\mi@p{8.6}{8.6173}\timestento{-5}} -{\eV\usk\reciprocal\K}[\eV\per\K][\eV\per\K] -\newphysicsconstant{stefanboltzmann}{\ensuremath{\sigma}} -{\mi@p{5.7}{5.6704}\timestento{-8}} -{\kg\usk\s\reciprocalcubed\usk\K\reciprocalquarted}[\W\per\m\squared\usk\K^4] -[\W\per\m\squared\usk\K\quarted] \newcommand*{\stefanboltzmannconstant}{\stefanboltzmann} -\newphysicsconstant{planck}{\ensuremath{h}}{\mi@p{6.6}{6.6261}\timestento{-34}} -{\m\squared\usk\kg\usk\reciprocal\s}[\J\usk\s][\J\usk\s] \newcommand*{\planckconstant}{\planck} -\newphysicsconstant{planckineV}{\ensuremath{h}}{\mi@p{4.1}{4.1357}\timestento{-15}} -{\eV\usk\s}[\eV\usk\s][\eV\usk\s] -\newphysicsconstant{planckbar}{\ensuremath{\hslash}}{\mi@p{1.1}{1.0546}\timestento{-34}} -{\m\squared\usk\kg\usk\reciprocal\s}[\J\usk\s][\J\usk\s] \newcommand*{\reducedplanckconstant}{\planckbar} -\newphysicsconstant{planckbarineV}{\ensuremath{\hslash}} -{\mi@p{6.6}{6.5821}\timestento{-16}}{\eV\usk\s}[\eV\usk\s][\eV\usk\s] -\newphysicsconstant{planckc}{\ensuremath{hc}}{\mi@p{2.0}{1.9864}\timestento{-25}} -{\m\cubed\usk\kg\usk\reciprocalsquare\s}[\J\usk\m][\J\usk\m] \newcommand*{\planckconstanttimesc}{\planckc} -\newphysicsconstant{planckcineV}{\ensuremath{hc}} -{\mi@p{2.0}{1.9864}\timestento{-25}}{\eV\usk\text{n}\m}[\eV\usk\text{n}\m] -[\eV\usk\text{n}\m] -\newphysicsconstant{rydberg}{\ensuremath{\msub{R}{\infty}}} -{\mi@p{1.1}{1.0974}\timestento{7}}{\reciprocal\m}[\reciprocal\m][\reciprocal\m] \newcommand*{\rydbergconstant}{\rydberg} -\newphysicsconstant{bohrradius}{\ensuremath{a_0}}{\mi@p{5.3}{5.2918}\timestento{-11}} -{\m}[\m][\m] -\newphysicsconstant{finestructure}{\ensuremath{\alpha}} -{\mi@p{\frac{1}{137}}{7.2974\timestento{-3}}}{\relax} \newcommand*{\finestructureconstant}{\finestructure} -\newphysicsconstant{avogadro}{\ensuremath{N_A}} -{\mi@p{6.0}{6.0221}\timestento{23}}{\reciprocal\mol}[\reciprocal\mol][\reciprocal\mol] \newcommand*{\avogadroconstant}{\avogadro} -\newphysicsconstant{universalgrav}{\ensuremath{G}}{\mi@p{6.7}{6.6738}\timestento{-11}} -{\m\cubed\usk\reciprocal\kg\usk\s\reciprocalsquared}[\J\usk\m\per\kg\squared] -[\N\usk\m\squared\per\kg\squared] \newcommand*{\universalgravitationalconstant}{\universalgrav} -\newphysicsconstant{surfacegravfield}{\ensuremath{g}}{\mi@p{9.8}{9.80}} -{\m\usk\s\reciprocalsquared}[\N\per\kg][\N\per\kg] \newcommand*{\earthssurfacegravitationalfield}{\surfacegravfield} -\newphysicsconstant{clight}{\ensuremath{c}} -{\mi@p{3}{2.9979}\timestento{8}}{\m\usk\reciprocal\s}[\m\per\s][\m\per\s] \newcommand*{\photonconstant}{\clight} -\newphysicsconstant{clightinfeet}{\ensuremath{c}}{\mi@p{1}{0.9836}} -{\text{ft}\usk\reciprocal{\text{n}\s}}[\text{ft}\per\text{n}\s] -[\text{ft}\per\mathrm{n}\s] -\newphysicsconstant{Ratom}{\ensuremath{r_{\text{atom}}}}{\tento{-10}}{\m}[\m][\m] -\newphysicsconstant{Mproton}{\ensuremath{m_p}} -{\mi@p{1.7}{1.6726}\timestento{-27}}{\kg}[\kg][\kg] -\newphysicsconstant{Mneutron}{\ensuremath{m_n}} -{\mi@p{1.7}{1.6749}\timestento{-27}}{\kg}[\kg][\kg] -\newphysicsconstant{Mhydrogen}{\ensuremath{m_H}} -{\mi@p{1.7}{1.6737}\timestento{-27}}{\kg}[\kg][\kg] -\newphysicsconstant{Melectron}{\ensuremath{m_e}} -{\mi@p{9.1}{9.1094}\timestento{-31}}{\kg}[\kg][\kg] -\newphysicsconstant{echarge}{\ensuremath{e}} -{\mi@p{1.6}{1.6022}\timestento{-19}}{\A\usk\s}[\C][\C] \newcommand*{\elementarycharge}{\echarge} -\newphysicsconstant{Qelectron}{\ensuremath{Q_e}}{-\echargevalue} -{\A\usk\s}[\C][\C] -\newphysicsconstant{qelectron}{\ensuremath{q_e}}{-\echargevalue} -{\A\usk\s}[\C][\C] -\newphysicsconstant{Qproton}{\ensuremath{Q_p}}{+\echargevalue} -{\A\usk\s}[\C][\C] -\newphysicsconstant{qproton}{\ensuremath{q_p}}{+\echargevalue} -{\A\usk\s}[\C][\C] -\newphysicsconstant{MEarth}{\ensuremath{M_{\text{Earth}}}} -{\mi@p{6.0}{5.9736}\timestento{24}}{\kg}[\kg][\kg] -\newphysicsconstant{MMoon}{\ensuremath{M_{\text{Moon}}}} -{\mi@p{7.3}{7.3459}\timestento{22}}{\kg}[\kg][\kg] -\newphysicsconstant{MSun}{\ensuremath{M_{\text{Sun}}}} -{\mi@p{2.0}{1.9891}\timestento{30}} -{\kg}[\kg][\kg] -\newphysicsconstant{REarth}{\ensuremath{R_{\text{Earth}}}} -{\mi@p{6.4}{6.3675}\timestento{6}}{\m}[\m][\m] -\newphysicsconstant{RMoon}{\ensuremath{R_{\text{Moon}}}} -{\mi@p{1.7}{1.7375}\timestento{6}}{\m}[\m][\m] -\newphysicsconstant{RSun}{\ensuremath{R_{\text{Sun}}}}{\mi@p{7.0}{6.9634}\timestento{8}} -{\m}[\m][\m] -\newphysicsconstant{ESdist}{\magvectsub{r}{ES}}{\mi@p{1.5}{1.4960}\timestento{11}}{\m} -[\m][\m] -\newphysicsconstant{SEdist}{\magvectsub{r}{SE}}{\mi@p{1.5}{1.4960}\timestento{11}}{\m} -[\m][\m] \newcommand*{\EarthSundistance}{\ESdist} \newcommand*{\SunEarthdistance}{\SEdist} -\newphysicsconstant{EMdist}{\magvectsub{r}{EM}} -{\mi@p{3.8}{3.8440}\timestento{8}}{\m}[\m][\m] -\newphysicsconstant{MEdist}{\magvectsub{r}{ME}} -{\mi@p{3.8}{3.8440}\timestento{8}}{\m}[\m][\m] \newcommand*{\EarthMoondistance}{\ESdist} \newcommand*{\MoonEarthdistance}{\SEdist} -\newphysicsconstant{LSun}{\ensuremath{L_{\text{Sun}}}} -{\mi@p{3.8}{3.8460}\timestento{26}}{\m\squared\usk\kg\usk\s\reciprocalcubed}[\W] -[\J\per\s] -\newphysicsconstant{TSun}{\ensuremath{T_{\text{Sun}}}}{\mi@p{5800}{5778}}{\K}[\K][\K] -\newphysicsconstant{MagSun}{\ensuremath{M_{\text{Sun}}}}{+4.83}{}[][] -\newphysicsconstant{magSun}{\ensuremath{m_{\text{Sun}}}}{-26.74}{}[][] \newcommand*{\Lstar}[1][\(\star\)]{\ensuremath{L_{\text{#1}}}\xspace} \newcommand*{\Lsolar}{\ensuremath{\Lstar[\(\odot\)]}\xspace} \newcommand*{\Tstar}[1][\(\star\)]{\ensuremath{T_{\text{#1}}}\xspace} @@ -1033,15 +1459,16 @@ \newcommand*{\foureighths}{\ensuremath{\frac{4}{8}}\xspace} \newcommand*{\fourninths}{\ensuremath{\frac{4}{9}}\xspace} \newcommand*{\fourtenths}{\ensuremath{\frac{4}{10}}\xspace} -\newcommand*{\sumoverall}[1]{\ensuremath{\displaystyle\sum_{\substack{\text{\tiny{all }} - \text{\tiny{{#1}}}}}}} +\newcommand*{\sumoverall}[1]{\ensuremath{\displaystyle + \sum_{\substack{\text{\tiny{all }}\text{\tiny{{#1}}}}}}} \newcommand*{\dx}[1]{\ensuremath{\,\mathrm{d}{#1}}} -\newcommand*{\evalfromto}[3]{\ensuremath{\Bigg.{#1}\Bigg\rvert_{#2}^{#3}}} +\newcommand*{\evalfromto}[3]{\ensuremath{% + \Bigg.{#1}\Bigg\rvert_{#2}^{#3}}} \newcommand*{\evalat}[2]{\ensuremath{\Bigg.{#1}\Bigg\rvert_{#2}}} \newcommand*{\evaluatedat}[1]{\ensuremath{\Bigg.\Bigg\rvert_{#1}}} \newcommandx{\integral}[4][1,2,usedefault]{\ensuremath{% - \int_{\ifthenelse{\equal{#1}{}}{}{#4=#1}}^{\ifthenelse{\equal{#2}{}}{}{#4=#2}}} - {#3}\dx{#4}} + \int_{\ifthenelse{\equal{#1}{}}{}{#4=#1}}^{\ifthenelse{% + \equal{#2}{}}{}{#4=#2}}}{#3}\dx{#4}} \newcommand*{\opensurfaceintegral}[2]{\ensuremath{% \iint\nolimits_{#1}\vectdotvect{#2}{\dirvect{n}}\dx{A}}} \newcommand*{\closedsurfaceintegral}[2]{\ensuremath{% @@ -1050,41 +1477,64 @@ \int\nolimits_{#1}\vectdotvect{#2}{\dirvect{t}}\dx{\ell}}} \newcommand*{\closedlineintegral}[2]{\ensuremath{% \oint\nolimits_{#1}\vectdotvect{#2}{\dirvect{t}}\dx{\ell}}} -\newcommand*{\volumeintegral}[2]{\ensuremath{\iiint\nolimits_{#1}{#2}\dx{V}}} -\newcommandx{\dbydt}[1][1]{\ensuremath{\frac{\mathrm{d}{#1}}{\mathrm{d}t}}} -\newcommandx{\DbyDt}[1][1]{\ensuremath{\frac{\Delta{#1}}{\Delta t}}} -\newcommandx{\ddbydt}[1][1]{\ensuremath{\frac{\mathrm{d}^{2}{#1}}{\mathrm{d}t^{2}}}} -\newcommandx{\DDbyDt}[1][1]{\ensuremath{\frac{\Delta^{2}{#1}}{\Delta t^{2}}}} -\newcommandx{\pbypt}[1][1]{\ensuremath{\frac{\partial{#1}}{\partial t}}} -\newcommandx{\ppbypt}[1][1]{\ensuremath{\frac{\partial^{2}{#1}}{\partial t^{2}}}} -\newcommand*{\dbyd}[2]{\ensuremath{\frac{\mathrm{d}{#1}}{\mathrm{d}{#2}}}} -\newcommand*{\DbyD}[2]{\ensuremath{\frac{\Delta{#1}}{\Delta{#2}}}} -\newcommand*{\ddbyd}[2]{\ensuremath{\frac{\mathrm{d}^{2}{#1}}{\mathrm{d}{#2}^{2}}}} -\newcommand*{\DDbyD}[2]{\ensuremath{\frac{\Delta^{2}{#1}}{\Delta{#2}^{2}}}} -\newcommand*{\pbyp}[2]{\ensuremath{\frac{\partial{#1}}{\partial{#2}}}} -\newcommand*{\ppbyp}[2]{\ensuremath{\frac{\partial^{2}{#1}}{\partial{#2}^{2}}}} +\newcommand*{\volumeintegral}[2]{\ensuremath{% + \iiint\nolimits_{#1}{#2}\dx{V}}} +\newcommandx{\dbydt}[1][1]{\ensuremath{% + \frac{\mathrm{d}{#1}}{\mathrm{d}t}}} +\newcommandx{\DbyDt}[1][1]{\ensuremath{% + \frac{\Delta{#1}}{\Delta t}}} +\newcommandx{\ddbydt}[1][1]{\ensuremath{% + \frac{\mathrm{d}^{2}{#1}}{\mathrm{d}t^{2}}}} +\newcommandx{\DDbyDt}[1][1]{\ensuremath{% + \frac{\Delta^{2}{#1}}{\Delta t^{2}}}} +\newcommandx{\pbypt}[1][1]{\ensuremath{% + \frac{\partial{#1}}{\partial t}}} +\newcommandx{\ppbypt}[1][1]{\ensuremath{% + \frac{\partial^{2}{#1}}{\partial t^{2}}}} +\newcommand*{\dbyd}[2]{\ensuremath{\frac{% + \mathrm{d}{#1}}{\mathrm{d}{#2}}}} +\newcommand*{\DbyD}[2]{\ensuremath{\frac{% + \Delta{#1}}{\Delta{#2}}}} +\newcommand*{\ddbyd}[2]{\ensuremath{% + \frac{\mathrm{d}^{2}{#1}}{\mathrm{d}{#2}^{2}}}} +\newcommand*{\DDbyD}[2]{\ensuremath{% + \frac{\Delta^{2}{#1}}{\Delta{#2}^{2}}}} +\newcommand*{\pbyp}[2]{\ensuremath{% + \frac{\partial{#1}}{\partial{#2}}}} +\newcommand*{\ppbyp}[2]{\ensuremath{% + \frac{\partial^{2}{#1}}{\partial{#2}^{2}}}} \newcommand*{\seriesfofx}{\ensuremath{% -f(x) \approx f(a) + \frac{f^\prime (a)}{1!}(x-a) + \frac{f^{\prime\prime}(a)}{2!}(x-a)^2 -+ \frac{f^{\prime\prime\prime}(a)}{3!}(x-a)^3 + \ldots}\xspace} + f(x) \approx f(a) + \frac{f^\prime (a)}{1!}(x-a) + \frac{f^{\prime\prime}(a)}{2!} + (x-a)^2 + \frac{f^{\prime\prime\prime}(a)}{3!}(x-a)^3 + \ldots}\xspace} \newcommand*{\seriesexpx}{\ensuremath{% -e^x \approx 1 + x + \frac{x^2}{2!} + \frac{x^3}{3!} + \ldots}\xspace} + e^x \approx 1 + x + \frac{x^2}{2!} + \frac{x^3}{3!} + \ldots}\xspace} \newcommand*{\seriessinx}{\ensuremath{% -\sin x \approx x - \frac{x^3}{3!} + \frac{x^5}{5!} - \ldots}\xspace} + \sin x \approx x - \frac{x^3}{3!} + \frac{x^5}{5!} - \ldots}\xspace} \newcommand*{\seriescosx}{\ensuremath{% -\cos x \approx 1 - \frac{x^2}{2!} + \frac{x^4}{4!} - \ldots}\xspace} + \cos x \approx 1 - \frac{x^2}{2!} + \frac{x^4}{4!} - \ldots}\xspace} \newcommand*{\seriestanx}{\ensuremath{% -\tan x \approx x + \frac{x^3}{3} + \frac{2x^5}{15} + \ldots}\xspace} + \tan x \approx x + \frac{x^3}{3} + \frac{2x^5}{15} + \ldots}\xspace} \newcommand*{\seriesatox}{\ensuremath{% -a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ldots} -\xspace} + a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + % + \ldots}\xspace} \newcommand*{\serieslnoneplusx}{\ensuremath{% -\ln(1 \pm x) \approx \pm\; x - \frac{x^2}{2} \pm \frac{x^3}{3} - \frac{x^4}{4} \pm -\ldots}\xspace} + \ln(1 \pm x) \approx \pm\; x - \frac{x^2}{2} \pm \frac{x^3}{3} - % + \frac{x^4}{4} \pm \ldots}\xspace} \newcommand*{\binomialseries}{\ensuremath{% -(1 + x)^n \approx 1 + nx + \frac{n(n-1)}{2!}x^2 + \ldots}\xspace} + (1 + x)^n \approx 1 + nx + \frac{n(n-1)}{2!}x^2 + \ldots}\xspace} \newcommand*{\gradient}{\ensuremath{\boldsymbol{\nabla}}} \newcommand*{\divergence}{\ensuremath{\boldsymbol{\nabla}\bullet}} \newcommand*{\curl}{\ensuremath{\boldsymbol{\nabla\times}}} +\newcommand{\taigrad}{\ensuremath{\nabla}}% +\newcommand{\taisvec}{\ensuremath{% + \stackinset{c}{0.07ex}{c}{0.1ex}{\tiny$-$}{$\nabla$}} +}% +\newcommand{\taidivg}{\ensuremath{% + \stackinset{c}{0.07ex}{c}{0.1ex}{$\cdot$}{$\nabla$}} +}% +\newcommand{\taicurl}{\ensuremath{% + \stackinset{c}{0.04ex}{c}{0.32ex}{\tiny$\times$}{$\nabla$}} +}% \newcommand*{\laplacian}{\ensuremath{\boldsymbol{\nabla}^2}} \newcommand*{\dalembertian}{\ensuremath{\boldsymbol{\Box}}} \newcommand*{\diracdelta}[1]{\ensuremath{\delta}(#1)} @@ -1113,18 +1563,18 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld {\newcommand*{\cB}{\ensuremath{c\mskip -3.00mu B}}}} \newcommand*{\newpi}{\ensuremath{\pi\mskip -7.8mu\pi}} \newcommand*{\scripty}[1]{\ensuremath{\mathcalligra{#1}}} +\newcommand*{\Lagr}{\ensuremath{\mathcal{L}}} \newcommandx{\flux}[1][1]{\ensuremath{\ssub{\Phi}{#1}}} -\@ifpackageloaded{commath}{% - \typeout{mandi: Package commath detected. Its \protect\abs\space command will - be used.} -}{% - \typeout{mandi: Package commath not detected. mandi's \protect\abs\space command - will be used.} - \newcommand*{\abs}[1]{\ensuremath{\left\lvert{#1}\right\rvert}} -}% -\newcommand*{\magof}[1]{\ensuremath{\left\lVert{#1}\right\rVert}} -\newcommand*{\dimsof}[1]{\ensuremath{\left[{#1}\right]}} -\newcommand*{\unitsof}[1]{\ensuremath{\left[{#1}\right]_u}} +\newcommand*{\absof}[1]{\ensuremath{% + \left\lvert{\ifblank{#1}{\:\cdot\:}{#1}}\right\rvert}} +\newcommand*{\inparens}[1]{\ensuremath{% + \left({\ifblank{#1}{\:\cdot\:}{#1}}\right)}} +\newcommand*{\magof}[1]{\ensuremath{% + \left\lVert{\ifblank{#1}{\:\cdot\:}{#1}}\right\rVert}} +\newcommand*{\dimsof}[1]{\ensuremath{% + \left[{\ifblank{#1}{\:\cdot\:}{#1}}\right]}} +\newcommand*{\unitsof}[1]{\ensuremath{% + \left[{\ifblank{#1}{\:\cdot\:}{#1}}\right]_u}} \newcommand*{\changein}[1]{\ensuremath{\delta{#1}}} \newcommand*{\Changein}[1]{\ensuremath{\Delta{#1}}} \newcommandx{\scin}[3][1,3=\!\!,usedefault]{\ensuremath{% @@ -1142,8 +1592,10 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld {\unit{10^{#1}}{#2}}}} \newcommand*{\ee}[2]{\texttt{{#1}e{#2}}} \newcommand*{\EE}[2]{\texttt{{#1}E{#2}}} -\newcommand*{\dms}[3]{\ensuremath{\indegrees{#1}\inarcminutes{#2}\inarcseconds{#3}}} -\newcommand*{\hms}[3]{\ensuremath{{#1}^{\hour}{#2}^{\mathrm{m}}{#3}^{\s}}} +\newcommand*{\dms}[3]{\ensuremath{% + \indegrees{#1}\inarcminutes{#2}\inarcseconds{#3}}} +\newcommand*{\hms}[3]{\ensuremath{% + {#1}^{\hour}{#2}^{\mathrm{m}}{#3}^{\s}}} \newcommand*{\clockreading}{\hms} \newcommand*{\latitude}[1]{\unit{#1}{\degree}} \newcommand*{\latitudeN}[1]{\unit{#1}{\degree\;\mathrm{N}}} @@ -1157,8 +1609,10 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \newcommand*{\msub}[2]{\ensuremath{#1_{#2}}} \newcommand*{\msup}[2]{\ensuremath{#1^{#2}}} \newcommand*{\msud}[3]{\ensuremath{#1^{#2}_{#3}}} -\newcommand*{\levicivita}[1]{\ensuremath{\varepsilon_{\scriptscriptstyle{#1}}}} -\newcommand*{\kronecker}[1]{\ensuremath{\delta_{\scriptscriptstyle{#1}}}} +\newcommand*{\levicivita}[1]{\ensuremath{% + \varepsilon_{\scriptscriptstyle{#1}}}} +\newcommand*{\kronecker}[1]{\ensuremath{% + \delta_{\scriptscriptstyle{#1}}}} \newcommand*{\xaxis}{\ensuremath{x\text{-axis}}\xspace} \newcommand*{\yaxis}{\ensuremath{y\text{-axis}}\xspace} \newcommand*{\zaxis}{\ensuremath{z\text{-axis}}\xspace} @@ -1179,9 +1633,9 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \newcommand*{\ffourthroot}[1]{\ensuremath{{#1}^\onefourth}} \newcommand*{\ffifthroot}[1]{\ensuremath{{#1}^\onefifth}} \newcommand*{\relgamma}[1]{\ensuremath{% - \frac{1}{\sqrt{1-(\frac{#1}{c})\squared}}}} + \frac{1}{\sqrt{1-\inparens{\frac{#1}{c}}\squared}}}} \newcommand*{\frelgamma}[1]{\ensuremath{% - (1-\frac{{#1}\squared}{c\squared})^{-\onehalf}}} + \inparens{1-\frac{{#1}\squared}{c\squared}}^{-\onehalf}}} \newcommand*{\oosqrtomxs}[1]{\ensuremath{\frac{1}{\sqrt{1-{#1}\squared}}}} \newcommand*{\oosqrtomx}[1]{\ensuremath{\frac{1}{\sqrt{1-{#1}}}}} \newcommand*{\ooomx}[1]{\ensuremath{\frac{1}{1-{#1}}}} @@ -1208,60 +1662,76 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \newcommand*{\platerthan}{\pwordoperator{later}{than}\xspace} \newcommand*{\pforevery}{\pwordoperator{for}{every}\xspace} \newcommand*{\defines}{\ensuremath{\stackrel{\text{\tiny{def}}}{=}}\xspace} -\newcommand*{\inframe}[1][\relax]{\ensuremath{\xrightarrow[\text\tiny{\mathcal #1}]{}} - \xspace} -\newcommand*{\associates}{\ensuremath{\xrightarrow{\text{\tiny{assoc}}}}\xspace} -\newcommand*{\becomes}{\ensuremath{\xrightarrow{\text{\tiny{becomes}}}}\xspace} -\newcommand*{\rrelatedto}[1]{\ensuremath{\xLongrightarrow{\text{\tiny{#1}}}}} -\newcommand*{\lrelatedto}[1]{\ensuremath{\xLongleftarrow[\text{\tiny{#1}}]{}}} +\newcommand*{\inframe}[1][\relax]{\ensuremath{% + \xrightarrow[\text\tiny{\mathcal #1}]{}}\xspace} +\newcommand*{\associates}{\ensuremath{% + \xrightarrow{\text{\tiny{assoc}}}}\xspace} +\newcommand*{\becomes}{\ensuremath{% + \xrightarrow{\text{\tiny{becomes}}}}\xspace} +\newcommand*{\rrelatedto}[1]{\ensuremath{% + \xLongrightarrow{\text{\tiny{#1}}}}} +\newcommand*{\lrelatedto}[1]{\ensuremath{% + \xLongleftarrow[\text{\tiny{#1}}]{}}} \newcommand*{\brelatedto}[2]{\ensuremath{% \xLongleftrightarrow[\text{\tiny{#1}}]{\text{\tiny{#2}}}}} \newcommand*{\momentumprinciple}{\ensuremath{% \vectsub{p}{sys,final}=\vectsub{p}{sys,initial}+\Fnetsys\Delta t}} \newcommand*{\LHSmomentumprinciple}{\ensuremath{\vectsub{p}{sys,final}}} -\newcommand*{\RHSmomentumprinciple}{\ensuremath{\vectsub{p}{sys,initial}+\Fnetsys - \Delta t}} -\newcommand*{\momentumprinciplediff}{\ensuremath{\Dvectsub{p}{sys}=\Fnetsys\Delta t}} -\newcommand*{\energyprinciple}{\ensuremath{\ssub{E}{sys,final}=\ssub{E}{sys,initial}+W - +Q}} +\newcommand*{\RHSmomentumprinciple}{\ensuremath{% + \vectsub{p}{sys,initial}+\Fnetsys\Delta t}} +\newcommand*{\momentumprinciplediff}{\ensuremath{% + \Dvectsub{p}{sys}=\Fnetsys\Delta t}} +\newcommand*{\energyprinciple}{\ensuremath{% + \ssub{E}{sys,final}=\ssub{E}{sys,initial}+W+Q}} \newcommand*{\LHSenergyprinciple}{\ensuremath{\ssub{E}{sys,final}}} \newcommand*{\RHSenergyprinciple}{\ensuremath{\ssub{E}{sys,initial}+W+Q}} \newcommand*{\energyprinciplediff}{\ensuremath{\Delta\ssub{E}{sys}=W+Q}} -\newcommand*{\angularmomentumprinciple}{\ensuremath{\vectsub{L}{\(A\),sys,final}= +\newcommand*{\angularmomentumprinciple}{\ensuremath{% + \vectsub{L}{\(A\),sys,final}=\vectsub{L}{\(A\),sys,initial}+\Tsub{net}\Delta t}} +\newcommand*{\LHSangularmomentumprinciple}{\ensuremath{% + \vectsub{L}{\(A\),sys,final}}} +\newcommand*{\RHSangularmomentumprinciple}{\ensuremath{% \vectsub{L}{\(A\),sys,initial}+\Tsub{net}\Delta t}} -\newcommand*{\LHSangularmomentumprinciple}{\ensuremath{\vectsub{L}{\(A\),sys,final}}} -\newcommand*{\RHSangularmomentumprinciple}{\ensuremath{\vectsub{L}{\(A\),sys,initial}+ - \Tsub{net}\Delta t}} -\newcommand*{\angularmomentumprinciplediff}{\ensuremath{\Dvectsub{L}{\(A\),sys}= - \Tsub{net}\Delta t}} +\newcommand*{\angularmomentumprinciplediff}{\ensuremath{% + \Dvectsub{L}{\(A\),sys}=\Tsub{net}\Delta t}} \newcommand*{\gravitationalinteraction}{\ensuremath{% - \universalgravmathsymbol\frac{\msub{M}{1}\msub{M}{2}}{\magvectsub{r}{12}\squared} - (-\dirvectsub{r}{12})}} + \universalgravmathsymbol\frac{\msub{M}{1}\msub{M}{2}}{% + \magvectsub{r}{12}\squared}(-\dirvectsub{r}{12})}} \newcommand*{\electricinteraction}{\ensuremath{% \oofpezmathsymbol\frac{\msub{Q}{1}\msub{Q}{2}}{\magvectsub{r}{12}\squared} \dirvectsub{r}{12}}} \newcommand*{\springinteraction}{\ensuremath{\ks\magvect{s}(-\dirvect{s})}} \newcommand*{\Bfieldofparticle}{\ensuremath{% - \mzofpmathsymbol\frac{Q\magvect{v}}{\magvect{r}\squared}\dirvect{v}\times\dirvect{r}}} + \mzofpmathsymbol\frac{Q\magvect{v}}{\magvect{r}\squared}\dirvect{v}\times + \dirvect{r}}} \newcommand*{\Efieldofparticle}{\ensuremath{% \oofpezmathsymbol\frac{Q}{\magvect{r}\squared}\dirvect{r}}} -\newcommandx{\Esys}[1][1]{\ifthenelse{\equal{#1}{}}{\ssub{E}{sys}}{\ssub{E}{sys,#1}}} -\newcommandx{\Us}[1][1]{\ifthenelse{\equal{#1}{}}{\ssub{U}{\(s\)}}{\ssub{U}{\(s\),#1}}} -\newcommandx{\Ug}[1][1]{\ifthenelse{\equal{#1}{}}{\ssub{U}{\(g\)}}{\ssub{U}{\(g\),#1}}} -\newcommandx{\Ue}[1][1]{\ifthenelse{\equal{#1}{}}{\ssub{U}{\(e\)}}{\ssub{U}{\(e\),#1}}} +\newcommandx{\Esys}[1][1]{\ifthenelse{% + \equal{#1}{}}{\ssub{E}{sys}}{\ssub{E}{sys,#1}}} +\newcommandx{\Us}[1][1]{\ifthenelse{% + \equal{#1}{}}{\ssub{U}{\(s\)}}{\ssub{U}{\(s\),#1}}} +\newcommandx{\Ug}[1][1]{\ifthenelse{% + \equal{#1}{}}{\ssub{U}{\(g\)}}{\ssub{U}{\(g\),#1}}} +\newcommandx{\Ue}[1][1]{\ifthenelse{% + \equal{#1}{}}{\ssub{U}{\(e\)}}{\ssub{U}{\(e\),#1}}} \newcommandx{\Ktrans}[1][1]{\ifthenelse{\equal{#1}{}}{\ssub{K}{trans}} {\ssub{K}{trans,#1}}} -\newcommandx{\Krot}[1][1]{\ifthenelse{\equal{#1}{}}{\ssub{K}{rot}}{\ssub{K}{rot,#1}}} -\newcommandx{\Kvib}[1][1]{\ifthenelse{\equal{#1}{}}{\ssub{K}{vib}}{\ssub{K}{vib,#1}}} +\newcommandx{\Krot}[1][1]{\ifthenelse{% + \equal{#1}{}}{\ssub{K}{rot}}{\ssub{K}{rot,#1}}} +\newcommandx{\Kvib}[1][1]{\ifthenelse{% + \equal{#1}{}}{\ssub{K}{vib}}{\ssub{K}{vib,#1}}} \newcommandx{\Eparticle}[1][1]{\ifthenelse{\equal{#1}{}}{\ssub{E}{particle}} {\ssub{E}{particle,#1}}} \newcommandx{\Einternal}[1][1]{\ifthenelse{\equal{#1}{}}{\ssub{E}{internal}} {\ssub{E}{internal,#1}}} -\newcommandx{\Erest}[1][1]{\ifthenelse{\equal{#1}{}}{\ssub{E}{rest}}{\ssub{E}{rest,#1}}} -\newcommandx{\Echem}[1][1]{\ifthenelse{\equal{#1}{}}{\ssub{E}{chem}}{\ssub{E}{chem,#1}}} +\newcommandx{\Erest}[1][1]{\ifthenelse{\equal{#1}{}}{\ssub{E}{rest}}{\ssub{E} + {rest,#1}}} +\newcommandx{\Echem}[1][1]{\ifthenelse{\equal{#1}{}}{\ssub{E}{chem}}{\ssub{E} + {chem,#1}}} \newcommandx{\Etherm}[1][1]{\ifthenelse{\equal{#1}{}}{\ssub{E}{therm}} {\ssub{E}{therm,#1}}} -\newcommandx{\Evib}[1][1]{\ifthenelse{\equal{#1}{}}{\ssub{E}{vib}}{\ssub{E}{vib,#1}}} +\newcommandx{\Evib}[1][1]{\ifthenelse{% + \equal{#1}{}}{\ssub{E}{vib}}{\ssub{E}{vib,#1}}} \newcommandx{\Ephoton}[1][1]{\ifthenelse{\equal{#1}{}}{\ssub{E}{photon}} {\ssub{E}{photon,#1}}} \newcommand*{\DEsys}{\Changein\Esys} @@ -1399,19 +1869,25 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \newcommand*{\RHSmaxwellivdif}{\ensuremath{\vacuumpermeabilitymathsymbol% \vacuumpermittivitymathsymbol\pbypt[\vect{E}]+% \vacuumpermeabilitymathsymbol\vectsub{J}{\(e\)}}} -\newcommand*{\RHSmaxwellivdiffree}{\ensuremath{\vacuumpermeabilitymathsymbol\vacuumpermittivitymathsymbol\pbypt[\vect{E}]}} +\newcommand*{\RHSmaxwellivdiffree}{\ensuremath{\vacuumpermeabilitymathsymbol + \vacuumpermittivitymathsymbol\pbypt[\vect{E}]}} \newcommand*{\maxwellivdif}{\ensuremath{\LHSmaxwellivdif=\RHSmaxwellivdif}} \newcommand*{\maxwellivdiffree}{\ensuremath{\LHSmaxwellivdif=\RHSmaxwellivdiffree}} \newcommand*{\RHSlorentzforce}{\ensuremath{\msub{q}{e}\left(\vect{E}+% \vectcrossvect{\vect{v}}{\vect{B}}\right)}} \newcommand*{\RHSlorentzforcem}{\ensuremath{\RHSlorentzforce+\msub{q}{m}\left(% \vect{B}-\vectcrossvect{\vect{v}}{\frac{\vect{E}}{c^2}}\right)}} +\newcommandx{\eulerlagrange}[1][1={q_i},usedefault]{\ensuremath{% + \pbyp{\mathcal{L}}{#1}-\dbydt\inparens{\pbyp{\mathcal{L}}{\dot{#1}}} = 0}} +\newcommandx{\Eulerlagrange}[1][1={q_i},usedefault]{\ensuremath{% + \DbyD{\mathcal{L}}{#1}-\DbyDt\inparens{\DbyD{\mathcal{L}}{\dot{#1}}} = 0}} \newcommand*{\vpythonline}{\lstinline[style=vpython]} -\lstnewenvironment{vpythonblock}{\lstset{style=vpython}}{} -\newcommand*{\vpythonfile}{\lstinputlisting[style=vpython]} +\lstnewenvironment{vpythonblock}[1][]{\lstset{style=vpython,caption={#1}}}{} +\newcommand*{\vpythonfile}[1][]{\newpage\lstinputlisting[style=vpython,caption={#1}]} \newcommandx{\emptyanswer}[2][1=0.80,2=0.1,usedefault] {\begin{minipage}{#1\textwidth}\hfill\vspace{#2\textheight}\end{minipage}} -\newenvironmentx{activityanswer}[5][1=white,2=black,3=black,4=0.90,5=0.10,usedefault]{% +\newenvironmentx{activityanswer}[5][1=white,2=black,3=black,4=0.90,% + 5=0.10,usedefault]{% \def\skipper{#5}% \def\response@fbox{\fcolorbox{#2}{#1}}% \begin{center}% @@ -1438,7 +1914,8 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \response@fbox{\usebox{\@tempboxa}}% \end{center}% }% -\newcommandx{\emptybox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.10,usedefault] +\newcommandx{\emptybox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,% + 6=0.10,usedefault]% {\begin{center}% \fcolorbox{#3}{#2}{% \begin{minipage}[c][#6\textheight][c]{#5\textwidth}\color{#4}% @@ -1447,8 +1924,8 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \vspace{\baselineskip}% \end{center}% }% -\newcommandx{\adjemptybox}[7][1=\hfill,2=white,3=black,4=black,5=0.90,6=, -7=0.0,usedefault] +\newcommandx{\adjemptybox}[7][1=\hfill,2=white,3=black,4=black,5=0.90,6=,% + 7=0.0,usedefault] {\begin{center}% \fcolorbox{#3}{#2}{% \begin{minipage}[c]{#5\textwidth}\color{#4}% @@ -1459,7 +1936,8 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \vspace{\baselineskip}% \end{center}% }% -\newcommandx{\answerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.1,usedefault] +\newcommandx{\answerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,% + 6=0.1,usedefault]% {\ifthenelse{\equal{#1}{}}% {\begin{center}% \fcolorbox{#3}{#2}{% @@ -1468,8 +1946,8 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \end{center}}% {\emptybox[#1][#2][#3][#4][#5][#6]}% }% -\newcommandx{\adjanswerbox}[7][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.1,7=0.0,% - usedefault]% +\newcommandx{\adjanswerbox}[7][1=\hfill,2=white,3=black,4=black,5=0.90,% + 6=0.1,7=0.0,usedefault]% {\ifthenelse{\equal{#1}{}}% {\begin{center}% \fcolorbox{#3}{#2}{% @@ -1478,8 +1956,8 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \end{center}}% {\adjemptybox[#1][#2][#3][#4][#5][#6][#7]}% }% -\newcommandx{\smallanswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.10,% - usedefault]% +\newcommandx{\smallanswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,% + 6=0.10,usedefault]% {\ifthenelse{\equal{#1}{}}% {\begin{center}% \fcolorbox{#3}{#2}{% @@ -1488,8 +1966,24 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \end{center}}% {\emptybox[#1][#2][#3][#4][#5][#6]}% }% -\newcommandx{\mediumanswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.20,% - usedefault]{% +\newcommandx{\smallanswerform}[4][1=q1,2=Response,3=0.10,4=0.90,usedefault]{% + \vspace{\baselineskip}% + \begin{Form} + \begin{center}% + \TextField[value={#2},% + name=#1,% + width=#4\linewidth,% + height=#3\textheight,% + backgroundcolor=formcolor,% + multiline=true,% + charsize=10pt,% + bordercolor=black]{}% + \end{center}% + \end{Form}% + \vspace{\baselineskip}% +}% +\newcommandx{\mediumanswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,% + 6=0.20,usedefault]{% \ifthenelse{\equal{#1}{}}% {\begin{center}% \fcolorbox{#3}{#2}{% @@ -1498,8 +1992,24 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \end{center}}% {\emptybox[#1][#2][#3][#4][#5][#6]}% }% -\newcommandx{\largeanswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.25,% - usedefault]{% +\newcommandx{\mediumanswerform}[4][1=q1,2=Response,3=0.20,4=0.90,usedefault]{% + \vspace{\baselineskip}% + \begin{Form} + \begin{center}% + \TextField[value={#2},% + name=#1,% + width=#4\linewidth,% + height=#3\textheight,% + backgroundcolor=formcolor,% + multiline=true,% + charsize=10pt,% + bordercolor=black]{}% + \end{center}% + \end{Form}% + \vspace{\baselineskip}% +}% +\newcommandx{\largeanswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,% + 6=0.25,usedefault]{% \ifthenelse{\equal{#1}{}}% {\begin{center}% \fcolorbox{#3}{#2}{% @@ -1508,8 +2018,24 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \end{center}}% {\emptybox[#1][#2][#3][#4][#5][#6]}% }% -\newcommandx{\largeranswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.33,% - usedefault]{% +\newcommandx{\largeanswerform}[4][1=q1,2=Response,3=0.25,4=0.90,usedefault]{% + \vspace{\baselineskip}% + \begin{Form} + \begin{center}% + \TextField[value={#2},% + name=#1,% + width=#4\linewidth,% + height=#3\textheight,% + backgroundcolor=formcolor,% + multiline=true,% + charsize=10pt,% + bordercolor=black]{}% + \end{center}% + \end{Form}% + \vspace{\baselineskip}% +}% +\newcommandx{\largeranswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,% + 6=0.33,usedefault]{% \ifthenelse{\equal{#1}{}}% {\begin{center}% \fcolorbox{#3}{#2}{% @@ -1518,8 +2044,25 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \end{center}}% {\emptybox[#1][#2][#3][#4][#5][#6]}% }% -\newcommandx{\hugeanswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.50,% +\newcommandx{\largeranswerform}[4][1=q1,2=Response,3=0.33,4=0.90,% usedefault]{% + \vspace{\baselineskip}% + \begin{Form} + \begin{center}% + \TextField[value={#2},% + name=#1,% + width=#4\linewidth,% + height=#3\textheight,% + backgroundcolor=formcolor,% + multiline=true,% + charsize=10pt,% + bordercolor=black]{}% + \end{center}% + \end{Form}% + \vspace{\baselineskip}% +}% +\newcommandx{\hugeanswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,% + 6=0.50,usedefault]{% \ifthenelse{\equal{#1}{}} {\begin{center}% \fcolorbox{#3}{#2}{% @@ -1528,8 +2071,24 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \end{center}}% {\emptybox[#1][#2][#3][#4][#5][#6]}% }% -\newcommandx{\hugeranswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.75,% - usedefault]{% +\newcommandx{\hugeanswerform}[4][1=q1,2=Response,3=0.50,4=0.90,usedefault]{% + \vspace{\baselineskip}% + \begin{Form} + \begin{center}% + \TextField[value={#2},% + name=#1,% + width=#4\linewidth,% + height=#3\textheight,% + backgroundcolor=formcolor,% + multiline=true,% + charsize=10pt,% + bordercolor=black]{}% + \end{center}% + \end{Form}% + \vspace{\baselineskip}% +}% +\newcommandx{\hugeranswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,% + 6=0.75,usedefault]{% \ifthenelse{\equal{#1}{}}% {\begin{center}% \fcolorbox{#3}{#2}{% @@ -1538,8 +2097,24 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \end{center}}% {\emptybox[#1][#2][#3][#4][#5][#6]}% }% -\newcommandx{\fullpageanswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=1.00,% - usedefault]{% +\newcommandx{\hugeranswerform}[4][1=q1,2=Response,3=0.75,4=0.90,usedefault]{% + \vspace{\baselineskip}% + \begin{Form} + \begin{center}% + \TextField[value={#2},% + name=#1,% + width=#4\linewidth,% + height=#3\textheight,% + backgroundcolor=formcolor,% + multiline=true,% + charsize=10pt,% + bordercolor=black]{}% + \end{center}% + \end{Form}% + \vspace{\baselineskip}% +}% +\newcommandx{\fullpageanswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,% + 6=1.00,usedefault]{% \ifthenelse{\equal{#1}{}}% {\begin{center}% \fcolorbox{#3}{#2}{% @@ -1548,9 +2123,26 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \end{center}}% {\emptybox[#1][#2][#3][#4][#5][#6]}% }% +\newcommandx{\fullpageanswerform}[4][1=q1,2=Response,3=1.00,4=0.90,usedefault]{% + \vspace{\baselineskip}% + \begin{Form} + \begin{center}% + \TextField[value={#2},% + name=#1,% + width=#4\linewidth,% + height=#3\textheight,% + backgroundcolor=formcolor,% + multiline=true,% + charsize=10pt,% + bordercolor=black]{}% + \end{center}% + \end{Form}% + \vspace{\baselineskip}% +}% \mdfdefinestyle{miinstructornotestyle}{% hidealllines=false,skipbelow=\baselineskip,skipabove=\baselineskip, leftmargin=40pt,rightmargin=40pt,linewidth=1,roundcorner=10, + nobreak=true, frametitle={INSTRUCTOR NOTE}, frametitlebackgroundcolor=cyan!60,frametitlerule=true,frametitlerulewidth=1, backgroundcolor=cyan!25, @@ -1565,6 +2157,7 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \mdfdefinestyle{mistudentnotestyle}{% hidealllines=false,skipbelow=\baselineskip,skipabove=\baselineskip, leftmargin=40pt,rightmargin=40pt,linewidth=1,roundcorner=10, + nobreak=true, frametitle={STUDENT NOTE}, frametitlebackgroundcolor=cyan!60,frametitlerule=true,frametitlerulewidth=1, backgroundcolor=cyan!25, @@ -1579,6 +2172,7 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \mdfdefinestyle{miderivationstyle}{% hidealllines=false,skipbelow=\baselineskip,skipabove=\baselineskip, leftmargin=0pt,rightmargin=0pt,linewidth=1,roundcorner=10, + nobreak=true, frametitle={DERIVATION}, frametitlebackgroundcolor=orange!60,frametitlerule=true,frametitlerulewidth=1, backgroundcolor=orange!25, @@ -1586,6 +2180,14 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \NewEnviron{miderivation}{% \begin{mdframed}[style=miderivationstyle] \setcounter{equation}{0} + \begin{align} + \BODY + \end{align} + \end{mdframed} +}% +\NewEnviron{miderivation*}{% + \begin{mdframed}[style=miderivationstyle] + \setcounter{equation}{0} \begin{align*} \BODY \end{align*} @@ -1594,6 +2196,7 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \mdfdefinestyle{bwinstructornotestyle}{% hidealllines=false,skipbelow=\baselineskip,skipabove=\baselineskip, leftmargin=40pt,rightmargin=40pt,linewidth=1,roundcorner=10, + nobreak=true, frametitle={INSTRUCTOR NOTE}, frametitlebackgroundcolor=gray!50,frametitlerule=true,frametitlerulewidth=1, backgroundcolor=gray!20, @@ -1608,6 +2211,7 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \mdfdefinestyle{bwstudentnotestyle}{% hidealllines=false,skipbelow=\baselineskip,skipabove=\baselineskip, leftmargin=40pt,rightmargin=40pt,linewidth=1,roundcorner=10, + nobreak=true, frametitle={STUDENT NOTE}, frametitlebackgroundcolor=gray!50,frametitlerule=true,frametitlerulewidth=1, backgroundcolor=gray!20, @@ -1622,6 +2226,7 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \mdfdefinestyle{bwderivationstyle}{% hidealllines=false,skipbelow=\baselineskip,skipabove=\baselineskip, leftmargin=0pt,rightmargin=0pt,linewidth=1,roundcorner=10, + nobreak=true, frametitle={DERIVATION}, frametitlebackgroundcolor=gray!50,frametitlerule=true,frametitlerulewidth=1, backgroundcolor=gray!20, @@ -1629,18 +2234,35 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \NewEnviron{bwderivation}{% \begin{mdframed}[style=bwderivationstyle] \setcounter{equation}{0} + \begin{align} + \BODY + \end{align} + \end{mdframed} +}% +\NewEnviron{bwderivation*}{% + \begin{mdframed}[style=bwderivationstyle] + \setcounter{equation}{0} \begin{align*} \BODY \end{align*} \end{mdframed} }% \NewEnviron{mysolution}{% + \setcounter{equation}{0} + \begin{align} + \BODY + \end{align} +}% +\NewEnviron{mysolution*}{% + \setcounter{equation}{0} \begin{align*} \BODY \end{align*} }% \newcommand*{\checkpoint}{% - \vspace{1cm}\begin{center}|--------- CHECKPOINT ---------|\end{center}}% + \vspace{1cm}\begin{center}% + \colorbox{yellow!80}{|--------- CHECKPOINT ---------|}% + \end{center}}% \newcommand*{\image}[2]{% \begin{figure}[h!] \begin{center}% @@ -1649,7 +2271,7 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \label{#1}% \end{center}% \end{figure}} -\newcommand*{\sneakyone}[1]{\ensuremath{\cancelto{1}{\frac{#1}{#1}}}} +\newcommand*{\sneakyone}[1]{\ensuremath{\cancelto{1}{#1}}} \newcommand*{\chkquantity}[1]{% \begin{center} \begin{tabular}{C{4.5cm} C{4cm} C{4cm} C{4cm}} @@ -1659,6 +2281,7 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \end{tabular} \end{center} }% +\newcommand*{\qed}{\ensuremath{\text{ Q.E.D.}}} \newcommand*{\chkconstant}[1]{% \begin{center} \begin{tabular}{C{4cm} C{2cm} C{3cm} C{3cm} C{3cm} C{3cm}} diff --git a/Master/tlpkg/bin/tlpkginfo b/Master/tlpkg/bin/tlpkginfo index 808c0b8e5ad..2dca9760444 100755 --- a/Master/tlpkg/bin/tlpkginfo +++ b/Master/tlpkg/bin/tlpkginfo @@ -378,9 +378,6 @@ sub prepare { # and do the rest in ctan2tds as usual. $tds_path = "$CTAN/systems/enctex/enctex.tar.gz"; - } elsif ($pkg eq "fibeamer") { - $tds_path = "$CTAN/install/macros/latex/contrib/$pkg.tds.zip"; - } elsif ($pkg eq "hfoldsty") { $tds_path = glob ("$CTAN/fonts/hfoldsty/hfoldsty-v*.zip"); diff --git a/Master/tlpkg/libexec/ctan2tds b/Master/tlpkg/libexec/ctan2tds index 568a2a09370..98e0a57dcfe 100755 --- a/Master/tlpkg/libexec/ctan2tds +++ b/Master/tlpkg/libexec/ctan2tds @@ -2341,7 +2341,7 @@ my $core_latex = "$Master/texmf-dist/tex/latex"; 'lmake' => 'latex', # requires interaction 'luaindex' => 'lualatex --shell-escape', 'luatexja' => 'lualatex', - 'mandi' => 'pdflatex',# generates doc + 'mandi' => 'pdflatex-preserve-pdf', 'mcmthesis' => 'tex', # requires interaction 'mversion' => 'latex', # requires interaction 'minitoc' => 'latex', # requires interaction and 1000q instead of 10q @@ -2806,8 +2806,9 @@ $standardclean = '\.head|\.tmp|\.dvi|\.log|\.out|\.aux|\.toc|\.lof|\.lot' . '|(dummyels|mlnames|ucharacters|unicode)\.sty', 'lshort-russian'=>'lshortbk.zip', # sources are enough 'lshort-spanish'=>'lshort-letter.pdf', # a4 is enough + 'mandi' => $standardclean . '|\.(lol|tcbtemp|tdo)$',# remakes doc 'mathexam' => 'sample.tex~', - 'musixtnt' => '(msxlint|fixmsxpart)$', # extra binaries + 'musixtnt' => '(msxlint|fixmsxpart)$', # extra binaries 'pkfix-helper' => 'pkfix-helper.pdf', 'placeat' => $standardclean . '|README\.$', 'purifyeps' => 'purifyeps.pdf', |