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[1999/12/15] American Mathematical Society + +This is a synopsis of the principal differences between various versions +of the amsmath package and its companion packages. + +A synopsis of changes in the "AMS-LaTeX" distribution is included at the +end of this file. See also diffs-c.txt in the amslatex/classes area. + +Those upgrading from version 1.2 to version 2.0 will probably be +interested in the question: + + After I upgrade will anything fail in my pre-existing documents? + +Certain of the bug fixes have the potential to affect the output of +existing documents in the following ways: + +---Vertical spacing for some displayed equations will change because +"abovedisplayshortskip" is now applied when possible. + +---Incorrect horizontal spacing for certain math constructs will change, +e.g., for \iint\nolimits or a subscript on a double-accented letter. + +---The default subscript placement in displayed formulas for \varinjlim, +\varprojlim, \varliminf, \varlimsup is now below rather than to the +side. To get the old behavior, add \nolimits---e.g., +\varliminf\nolimits_{...}. + +---Ellipsis dots in text (\ldots or \dots) will now behave the same as +in standard LaTeX; the surrounding space may therefore change. + +During regression testing we found some errors cropping up in documents +from incorrect usage that had not been caught with version 1.2. Although +these errors are relatively rare, documents containing such usage will +need to be corrected before they will run properly with version 2.0: + +---Use of two mutually exclusive display structures for the same +display. In this example the outer \[ \] are redundant: + + \[ + \begin{align*} + ... + \end{align*} + \] + +---Inadequate argument markup for math accents: + + \hat \mathcal{C} + +This should have been written with braces surrounding the argument of +the \hat command: \hat{\mathcal{C}}. + +For documents where error messages crop up after the upgrade, there are +various possible approaches, including: + +(a) Change instances of incorrect usage (if applicable). + +(b) Put a copy of amsmath.sty version 1.2 into the home directory of the +document. Then it should continue to work the same as before. + +(c) Use the snapshot package in combination with a shell script to +arrange that version 1.2 of amsmath is found instead of 2.0 when +processing the document. See ftp://ftp.ams.org/pub/tex/snapshot.*. This +approach requires a certain amount of technical knowledge. + +(d) Downgrade to version 1.2 again. + +======================================================================== +Changes in amsmath 2.0 [November 1999] + +---The AMS-LaTeX User's Guide (amsldoc.tex) has been turned into the + AMSmath User's Guide by moving the amsthm documentation into a + separate file (amsthdoc.tex) in the amslatex/classes area. + +---Restored normal use of "shortskip" spacing in single equations. + +[!! NOTE: This means that page breaks may change in existing documents.] + +---Restored normal use of available shrink around binary operators in + single equations. + +---Fixed poor subscript placement for double-accented letters. Math +accent handling was reworked in the process in such a way that the +capitalized forms of the math accent commands are no longer necessary. +\hat{\hat{X}} will do proper alignment of the second accent. \Hat et +cetera are retained for compabitility reasons. (Thanks to Javier Bezos +for donating some code from his accents package.) + +[!! NOTE: Improper math accent use will now produce wrong output.] + +Suppose that we have \boldH defined in the preamble as +\newcommand{\boldH}{\mathbf{H}}. Then the following examples illustrate +recommended usage. + + \hat{\mathbf{H}} OK + \hat{\boldH} OK + \hat\boldH Works OK, but deprecated by the LaTeX book + \hat\mathbf{H} Not OK! Output will be incorrect. + +Since the output will be wrong, amsmath gives an error message when the +last variant is detected. + +---The following kinds of mixed structures worked by happenstance with + amsmath 1.2, although they should have produced an error message. + With amsmath 2.0 they will produce an error or warning message. + + [!! NOTE: Potential error messages] + + % Outer \[ \] is redundant + + \[ + \begin{align*} + ... + \end{align*} + \] + + % Outer \begin{equation*} ... \end{equation*} is redundant + + \begin{equation*}\begin{alignat*}{2} + ... + \end{alignat*} + \end{equation*} + + % No printed material is allowed between \begin{equation} and + % \begin{split}: + + \begin{equation*}\left \{ + \begin{split} + ... + \end{split}\right . + \end{equation*} + +---diff12.tex is replaced by diffs-m.txt and diffs-c.txt, with the + latter moving to the amslatex/classes area. + +---Added an "?" option which gives some information about the available + documentation. + +---The amsmath definitions for matrix, pmatrix, and cases are + incompatible with the plain-TeX syntax for \pmatrix, \matrix, and + \cases, which are used occasionally by some authors in LaTeX + documents. In version 2.0 the error messages resulting from the + plain-TeX syntax have been made more intelligible. + +---If you need the boldsymbol facilities of the amsbsy package, use of + the "bm" (boldmath) package is recommended instead for new documents. + The amsbsy package is retained for compatibility with existing + documents. If you have a recent version of LaTeX (1998 or newer) you + already have the bm package; otherwise you may need to get it from + CTAN. (It is not an AMS package.) + +---\iint\nolimits: Fixed poor placement of subscript (also \iiint, +\idotsint, etc). + +---\varinjlim, \varprojlim, \varliminf, \varlimsup: Default to +\displaylimits instead of nolimits. + +---Fixed alignedat so that it doesn't take the first token of its + contents and try to interpret it as a number. + +---Leave text version of \dots and \ldots unchanged. + +---Changed \numberwithin so it no longer assumes previous definition of + \thesomething contained no prefixes. + +---\mathbf{\Gamma}: Leave cap Greek letters alone instead of converting + them from variable (fam 7) to fixed (fam 0). \mathbf{\gamma} still + fails---but that's a math font problem. + +---\mathindent is aliased to \@mathmargin so that when the fleqn option + is used, users can reset it as the LaTeX book advertises. + +---With the showkeys package: Corrected loss of marginal notes when +labels occurred inside an align environment. + +---Carried over some tweaks (\bmod, \right/leftarrowfill) from the 1996 + version of plain.tex. + +---Adjusted spacing of overarrow@ and underarrow@ to allow more room for + larger cmsy arrowheads. + +---Corrected spurious "overfull \hbox" warnings for \xrightarrow. + +---Corrected poor spacing for \xleftarrow. + +---Removed the \leavevmode in \smash which caused trouble for some + applications (e.g., the crop package) that expected the original + LaTeX definition. + +---Changed \def to \newcommand/\newenvironment where appropriate. + +---Use \sqrtsign instead of \@@sqrt (but include a backward + compatibility hack for the latter). + +---Left brace in \env{cases} environment would fail to work in + certain circumstances: Fix by using \lbrace instead of \{. + +---Use \ignorespacesafterend where applicable instead of + \global\@ignoretrue. + +---Protected commands in the definition of \theequation were + incorrectly expanded by the subequations environment when copying + the definition to \theparentequation: Fix by using \protected@edef. + +---Spurious extra space following punctuation at that end of a display: + In \math@cr, \math@cr@@, etc, use \iffalse{\fi instead of simply { to + keep an unwanted mathord atom from being added at the end of the + current math list; added \endmultline@math to work around a similar + sort of problem specific to the `multline' environment. + +---Various wrong results or no effect for \displaybreak inside "align", + "alignat", etc. Resetting \dspbrk@level in the \everycr of + \@display@init cleared most of these up. + +---Changed \displaybreak to issue an error message if enclosed in boxing + environment that will keep it from having any effect. + +---Turned off \displaybreak during the measuring phase of multline. + +---Fixed some numbering problems with multline and multline* and error + for use of \tag. + +---Use \@gtempa instead of \@tempa where assigned globally (standard + save stack precaution). + +---Save and restore \column@ to keep aligned from screwing up the column + counting of a parent align environment. Made \column@ assignments + uniformly global, except in a couple of places where the risk of side + effects seemed too great. + +---Error recovery for misspelled '\end{multline}' was not very helpful. + Improve \collect@body along lines suggested by Hellstrm. + +---Fixed up certain number placement problems with align + +---Add \alignsafe@testopt to work around a LaTeX bug: when a nested + alignment environment that takes an optional argument has an empty + first cell (i.e., begins with an &) LaTeX's optional argument + scanning screws up the alignment state. + +---Add `mathdisplay' environment (internal use) to correct several + problems of \[ \] and the `equation' environment arising from the + previous implementation as a degenerate case of `gather'. + +---It is possible now to use \eeq as an abbreviation for \end{equation} +(one of the consequences of the preceding change). But still not \eal +for \end{align} or certain other display structures. + +---Reorganize `split' internal calling sequence to go along with the use + of `mathdisplay' in \[ \] and `equation'. + +---Suppression of LaTeX error messages during measuring phase made + primitive TeX errors harder to understand; stop suppressing. (As a + result, users will sometimes get redundant error messages now.) + Remove obsolete Sb, Sp environments again. + +---The file amsintx.dtx was removed from the distribution pending + further development. + +---Remove the \ifinany@ switch, use \spread@equation instead to achieve + the same ends. + +---Remove unbracefonts@ function, no longer needed after changes in + math accent handling. + +---Got rid of the special trap for '^x that had been carried over from +AMS-TeX. + +---Made \overline, \doteq, \longrightarrow, etc, robust. + +---Changed \relbar to use \std@minus---otherwise \underleftrightarrow +works poorly in a \DeclareMathOperator definition. + +---Use \new@ifnextchar in matrix, pmatrix, cases so that \\[x] +doesn't trigger an error. + +---Bug fix for nested use of \label inside minipage inside equation. + +---Add minalignsep after every second column in aligned, for consistency +with align. + +======================================================================== +Changes in amsmath 1.2 [January 1995] + +---Name change; relation to the "amsfonts" package + +In version 1.1 of AMS-LaTeX, the name of this package was "amstex". The +new name is "amsmath". The amstex package automatically invoked the +amsfonts package as well; the amsmath package does not. + +---Adapted for LaTeX2e + +Old method of invocation: + + \documentstyle[amstex]{article}% LaTeX 2.09 + +New method of invocation: + + \documentclass{article} + \usepackage{amsmath} + +---Handling of options intlim, nosumlim, nonamelm, righttag, ctagsplt + +Old usage: + + \documentstyle[amstex,righttag,intlim] + +New usage: + + \usepackage[reqno,intlimits]{amsmath} + +Several option names were changed (mainly, they are no longer restricted +to eight characters): + + intlim -> intlimits + nosumlim -> nosumlimits + nonamelm -> nonamelimits + righttag -> reqno [for consistency with "leqno"] + ctagsplt -> centertags + +---Character @ is no longer used as a special command prefix + +Certain commands in the amstex pkg started with "@" instead of "\". This +special usage has been discontinued, except for the amscd package, and +then only within the CD environment. Practically speaking, this means +primarily that it is no longer necessary to use doubled @@ to get a +single printed @ character (e.g., in e-mail addresses). + +---The @, and @! micro-spacing commands are no longer provided + +As a consequence of the @ character change, "@," and "@!" are no longer +recognized spacing commands. An \mspace command is provided that can be +used instead; see the AMSmath User's Guide. + +---Extensible arrow commands @>>> and @<<< + +The commands @>>> and @<<< are no longer available [except in the CD +environment of the amscd package]; alternative commands \xleftarrow and +\xrightarrow are provided by the amsmath package. The sub and +superscripts are given through an optional resp. mandatory argument, for +example + + X\xleftarrow{b}Y % superscript "b" only + X\xrightarrow[\alpha]{\beta}Y % sub alpha, sup beta + +---The command \bold has been superseded by the command \mathbf, as the +latter is now the standard name provided by LaTeX for this purpose. + +---The commands \newsymbol, \frak, \Bbb are no longer available because +the amsfonts package is not loaded by amsmath. In any case those +commands now have new names---\frak -> \mathfrak, \Bbb -> \mathbb, etc. +See the amsfonts documentation for further details. + +---The amsmath package provides \lvert and \rvert to use for vert-bar +symbols when they act as delimiters (compare \langle, \rangle for +angle-bracket delimiters). Commands \lVert and \rVert are likewise +provided instead of \| for paired-delimiter use of the double-vert +symbol. Use of | and \| for paired delimiters can lead to incorrect +spacing in rare cases. Further discussion is found in the AMS-LaTeX +user's guide (amsldoc.tex). + +---The ~ command is now left unchanged by amsmath; the change +that makes it remove a redundant preceding or following space character +is now done only by AMS documentclasses (in version 1.1 this was done by +the amstex package). + +---The following rarely used commands are removed to the amsxtra +package: \accentedsymbol, \sphat, \spcheck, \sptilde, \spdot, \spddot, +\spdddot, \spbreve, \@))), \@(((. + +---The six generalized fraction commands \over, \overwithdelims, \atop, +\atopwithdelims, \above, \abovewithdelims are deprecated and produce +warning messages. Their functionality can be obtained through \frac, +\binom, and \genfrac instead. See amsldoc.tex and technote.tex for +further details. + +---The \fracwithdelims command is gone, as \genfrac provides +equivalent functionality (and a little more). + +---The optional argument of \frac that allowed changing the thickness of +the fraction line is gone. That functionality is now provided only +through \genfrac: the need to change the line thickness is so rare in +practice that it seems better not to burden the ubiquitous \frac command +with the somewhat time-consuming look-ahead process required for an +optional argument. I.e., this change will contribute in a small way to +making your documents run faster. + +---The commands \lcfrac and \rcfrac for left or right alignment of +continued fraction numerators are gone; they are replaced by an optional +argument of the \cfrac command. + +---A new command \DeclareMathOperator is provided for defining new +operator names: + +\DeclareMathOperator{\Tr}{Tr} +\DeclareMathOperator*{\xlim}{x-lim} + +The * form makes the operator name produce limit-style sub and +superscripts, like \max or \lim. This is now the preferred method, +instead of using the old command \operatorname (which is, however, +retained for now). The command \operatornamewithlimits has been renamed +\operatorname*. These commands now can also be obtained through a +separate package amsopn, so it's not necessary to load the entire +amsmath package just to get that feature. + +---Environments "Sb", "Sp" retired. + +The environments Sb and Sp for multiline subscripts have been replaced +by a single command \substack, used as follows: + +\sum_{\substack{first line\\second line}} + +This command can be used equally well in a subscript or superscript, and +provides better vertical positioning (as compared to Sb, Sp) if a +multiline subscript is placed on the side, as perhaps for an integral. +There is also a slightly generalized alternative, an environment +subarray that allows you to specify either centering or left alignment +for the contents: + +\sum_{\begin{subarray}{l}first line\\second line\end{subarray}} + +---New command \nobreakdash + +A command \nobreakdash is provided to suppress the possibility of a +linebreak after the following hyphen or dash. For example, if you write +"$p$\nobreakdash-adic" then a linebreak will never be taken between the +hyphen and the "adic". + +---The placement of equation numbers has been substantially improved for +align, gather, and split. Numbers will now never overlap on top of the +equation body (as far as we can ascertain), and they are much less +likely to be shifted up or down unnecessarily when there is actually +adequate space to leave the number in the normal place. In a few +remaining cases, an equation number will be shifted unnecessarily +because technical complications make accurate measurement of the +available room too difficult; for those cases a \raisetag command is +provided that allows you to manually adjust the vertical position of the +equation number. + +---The [xx]align[at] family of environments has been thoroughly revised: +now the xalignat environment is gone, as its function has been merged +into the align environment (it's no longer necessary to specify how many +side-by-side structures, as was required for xalignat, because align +automatically handles any number of them). Similarly, the xxalignat +environment has been replaced by an environment flalign that doesn't +require you to specify how many side-by-side structures will be needed. +Certain numbering problems (presence of an equation number when it +should be absent, or vice versa) have also been cleared up. + +(Thanks to David M. Jones for his substantial [volunteer] work behind +this change and the preceding one.) + +---The alignedat environment was changed to take two arguments rather +than one: a mandatory argument (as formerly) specifying the number of +align structures, and a new optional one specifying the placement of the +environment (parallel to the optional argument of aligned). However, +aligned is simpler to use, allowing any number of aligned structures +automatically, and therefore the use of alignedat is deprecated. + +---The seldom-used command \oldnos is gone; if you need it, you should +consult the LaTeX documentation on using fonts (e.g., fntguide.tex) to +find out how to construct an equivalent command. + +---A new subequations environment causes all numbered equation +environments within its scope to be numbered (4.9a) (4.9b) (4.9c) etc., +if the preceding numbered equation was 4.8. A \label command immediately +after \begin{subequations} will produce a \ref of the parent number +`4.9', not `4.9a'. The counters used by the subequations environment are +parentequation and equation and standard uses of \addtocounter, +\setcounter, etc., are possible with those counter names. + +---The amsmath package (unlike amstex) respects the setting provided by +the documentclass for putting equation numbers on the right or the left. +[Technical note: a documentclass that has leqno as the default should +explicitly pass that option to the amsmath package with +\PassOptionsToPackage in order for it to be effective.] + +---The fleqn option for left-aligned instead of centered equations is +now supported (thanks to David M. Jones). + +************************************************************************ +The remainder of this file discusses some changes that do not directly +pertain to the amsmath package but to the parent distribution known as +"AMS-LaTeX". + +======================================================================== +Changes in AMS-LaTeX 2.0 + +---The AMS-LaTeX User's Guide (amsldoc.tex) is split up into amsldoc.tex +and amsthdoc.tex, with the latter moving into the "classes" area. + +---The file amslatex.faq was split into amsmath.faq and amsclass.faq. + +---The file amslatex.bug was done away with; most of the information was +merged into diffs-m.txt, diffs-c.txt, amsmath.faq, and amsclass.faq. + +======================================================================== +Changes in AMS-LaTeX 1.2 + +---Adapted for LaTeX2e + +AMS-LaTeX 1.0 and 1.1 were designed to work with LaTeX 2.09, which +became obsolete in 1994 with the appearance of "LaTeX2e". AMS-LaTeX 1.2 +has been extensively adapted to take advantage of various features of +LaTeX2e. It is no longer a separate TeX format---i.e., it does not need +to be invoked by a separate "amslatex" command. + +---LaTeX 2.09 font commands (\bf, \it, etc) + +Pre-existing documents will for the most part continue to work fine +without requiring any changes. However, depending on the installation +options used for your copy of AMS-LaTeX 1.1 you may need to update the +options list of the \documentstyle command by adding newlfont, for +example: + + \documentstyle[newlfont]{amsart} + +---The packages amsfonts, amssymb were moved to the AMSFonts +distribution. They used to be included in the AMS-LaTeX distribution for +pragmatic reasons but their natural home is with the AMSFonts +distribution. + +---Package amstex renamed to amsmath + +The amstex package has been renamed amsmath. The old name `amstex' came +from the fact that version 1.0 was a more or less straight port into +LaTeX of selected portions from the macro package AmS-TeX written by +Michael Spivak, but the historical origins of the package are likely of +less interest to the general usership---especially looking to the +future---than a straightforward declaration in the name `amsmath' of the +sort of features that are provided. + +Another important reason for the name change was to make possible some +progress that would be out of the question (because of the impact on +existing documents) if the name `amstex' were retained. For example, +unlike amstex, amsmath doesn't automatically load the amsfonts package, +as that package was moved out to the AMSFonts distribution as described +above. If this change were not accompanied by a name change, many +existing documents would have to be updated by hand (adding +\usepackage{amsfonts}) in order to run without error. A frozen version +of amstex.sty is provided for processing pre-existing documents; it +won't have active maintainence henceforth except for bug fixes. For new +documents, authors should use the amsmath package. + +Therefore, "\usepackage{amstex}" is incorrect usage---do not rely on the +1994 edition of `The LaTeX Companion' in this respect (unless you obtain +the errata for Chapter 8; see +http://ctan.tug.org/info/compan-rev/ch8.pdf). + +---New documentclass amsproc + +A new documentclass amsproc was added for collections of articles, such as +the proceedings of a conference. diff --git a/Master/texmf-dist/doc/latex/amsmath/subeqn.pdf b/Master/texmf-dist/doc/latex/amsmath/subeqn.pdf new file mode 100644 index 00000000000..4b769ea1ff0 Binary files /dev/null and b/Master/texmf-dist/doc/latex/amsmath/subeqn.pdf differ diff --git a/Master/texmf-dist/doc/latex/amsmath/technote.pdf b/Master/texmf-dist/doc/latex/amsmath/technote.pdf new file mode 100644 index 00000000000..d3ec2677db0 Binary files /dev/null and b/Master/texmf-dist/doc/latex/amsmath/technote.pdf differ diff --git a/Master/texmf-dist/doc/latex/amsmath/testmath.pdf b/Master/texmf-dist/doc/latex/amsmath/testmath.pdf new file mode 100644 index 00000000000..53bc768ff7d Binary files /dev/null and b/Master/texmf-dist/doc/latex/amsmath/testmath.pdf differ diff --git a/Master/texmf-dist/source/latex/amsmath/00readme.txt b/Master/texmf-dist/source/latex/amsmath/00readme.txt new file mode 100644 index 00000000000..080ed622537 --- /dev/null +++ b/Master/texmf-dist/source/latex/amsmath/00readme.txt @@ -0,0 +1,123 @@ +00readme.txt for amsmath 2.0 [2004/08/06] American Mathematical Society + +See manifest.txt for a list of all the files in the distribution. + +See install.txt for installation instructions. [Installing from an +archive file such as ftp://ftp.ams.org/pub/tex/amsmath.zip is +recommended.] + +The amsmath package is an extension package for LaTeX that provides +additional features to facilitate mathematical typesetting. It has been +developed by the American Mathematical Society and released for general +use as a service to the mathematical community. A number of smaller +auxiliary packages are also distributed with the amsmath package. + +In order to use amsmath you need to have TeX installed first. TeX is not +an AMS product. For information on getting TeX see one of the following: + + http://www.tug.org/ + http://www.ams.org/tex/tex-resources.html + +The primary documentation for amsmath is in + + amsldoc.pdf + +Additional documentation files include: + + diffs-m.txt + subeqn.pdf + technote.pdf + testmath.pdf + +which are included in the collection. Additional documentation can be +found in the amsmath FAQ: + + http://www.ams.org/tex/amsmath-faq.html + +For technical support: + + American Mathematical Society + Technical Support + Publications Technical Group + P. O. Box 6248 + Providence, RI 02940-6248 + Phone: 800-321-4AMS (321-4267) (USA/Canada) or 401-455-4080 + tech-support@ams.org + +For submitting bug reports, however, users are encouraged to use the +standard LaTeX bug reporting system: Issue the command + + latex latexbug.tex + +and follow the resulting instructions (selecting the "amslatex" category +when the list of possible categories is shown). + +======================================================================== +RECENT CHANGES (REVERSE ORDER) + +---amsmath.faq - 2004/08/06 +Removed from distribution; replaced by on-line FAQ at +http://www.ams.org/tex/amsmath-faq.html + +---amsmath.dtx 2.13 2000/07/18: + +After the numbering patches in 2.11, \notag failed in certain +circumstances: introduce some more auxiliary functions to sort things +out, and redefine \nonumber. + +---amstext.dtx 2.01 2000/06/29: + +Use \f@size instead of \tf@size because they are not necessarily the +same and the former is better for putting a few words into a display. + +---amsmath.dtx 2.12 2000/06/06: + +Fix transposed lines in 2.11 patch. + +---amsdtx.dtx - 2000/06/02: + +Move to the amscls distribution. + +---amsmath.dtx 2.11 2000/06/02: + +Prevent "Arithmetic overflow" error by guarding against divide-by-zero +in \x@calc@shift@lc (align environment). + +---amsmath.dtx 2.10 2000/05/25: + +Clear up error message for \allowdisplaybreaks[0]. + +Make mathdisplay re-entrant by introducing mathdisplay@stack, to +clear up numbering problems in unusual circumstances such as \[ \] +nested inside minipage inside equation. + +---amsmath.dtx 2.09 2000/04/21: + +Ensure good catcodes for " etc. + +---amsmath.dtx 2.08 2000/03/16: + +Fixed erroneous tag placement on split with fleqn/tbtags options. + +---amsmath.dtx 2.07 2000/03/15: + +Add \reset@strutbox@ to deal with the following bug: After +$...\mbox{\Huge $...$}...$, line spacing is wrong in a following +"gather" or other environment that uses \strut@. + +Patch to fix bug with intlimits option: too much space in the middle of +\iint. + +Overhaul math accents again to fix a couple of bugs reported by Thimm. + +---amsmath.dtx 2.06 2000/03/10: + +Change \MathAccent to \mathaccentV so \DeclareMathAccent won't give an +error when redefining an accent. + +---amsmath.dtx 2.05 2000/01/06: + +Fixed incorrect placement of fleqn/reqno equation numbers inside +indented lists (displaywidth < columnwidth). Changed the +multline/fleqn/leqno indent to match mathmargin when possible instead of +always just using multlinetaggap. diff --git a/Master/texmf-dist/source/latex/amsmath/ams-m1.ins b/Master/texmf-dist/source/latex/amsmath/ams-m1.ins new file mode 100644 index 00000000000..a03642e51a7 --- /dev/null +++ b/Master/texmf-dist/source/latex/amsmath/ams-m1.ins @@ -0,0 +1,69 @@ +%%% ==================================================================== +%%% @LaTeX-file{ +%%% filename = "ams-m1.ins", +%%% version = "1.05", +%%% date = "2000/05/25", +%%% time = "16:28:35 EDT", +%%% checksum = "13352 69 258 2600", +%%% author = "American Mathematical Society", +%%% address = "American Mathematical Society, +%%% Technical Support, +%%% Electronic Products and Services, +%%% P. O. Box 6248, +%%% Providence, RI 02940, +%%% USA", +%%% telephone = "401-455-4080 or (in the USA and Canada) +%%% 800-321-4AMS (321-4267)", +%%% FAX = "401-331-3842", +%%% email = "tech-support@math.ams.org (Internet)", +%%% supported = "yes", +%%% copyright = "Copyright 1999 American Mathematical Society, +%%% all rights reserved. Copying of this file is +%%% authorized only if either: +%%% (1) you make absolutely no changes to your copy, +%%% including name; OR +%%% (2) if you do make changes, you first rename it +%%% to some other name.", +%%% keywords = "latex, amsmath, ams-latex, installation", +%%% abstract = "This is an installation file that will generate +%%% loadable package and class files when run +%%% through \LaTeX{}.", +%%% docstring = "The checksum field above contains a CRC-16 +%%% checksum as the first value, followed by the +%%% equivalent of the standard UNIX wc (word +%%% count) utility output of lines, words, and +%%% characters. This is produced by Robert +%%% Solovay's checksum utility.", +%%% } +%%% ==================================================================== +\def\batchfile{ams-m1.ins} +\input docstrip.tex +\preamble +\endpreamble + +\keepsilent + +\csname newtoks\endcsname\filesmsg +\def\dofile#1#2#3{\generateFile{#1}{f}{\from{#2}{#3}}% + \filesmsg\expandafter{\the\filesmsg + \Msg{* \space\space#1}}} + +% Math packages +\dofile{amsmath.sty}{amsmath.dtx}{} +\dofile{amsgen.sty}{amsgen.dtx}{} +\dofile{amstext.sty}{amstext.dtx}{} +\dofile{amsopn.sty}{amsopn.dtx}{} +\dofile{amsbsy.sty}{amsbsy.dtx}{} +\dofile{amscd.sty}{amscd.dtx}{} +\dofile{amsxtra.sty}{amsxtra.dtx}{} + +\ifToplevel{ +\Msg{******************************************************************} +\Msg{*} +\Msg{* To produce the User's Guide for amsmath, run amsldoc.tex through} +\Msg{* LaTeX.} +\Msg{*} +\Msg{******************************************************************} +} + +\endinput diff --git a/Master/texmf-dist/source/latex/amsmath/amsbsy.dtx b/Master/texmf-dist/source/latex/amsmath/amsbsy.dtx new file mode 100644 index 00000000000..30c4dee1bbf --- /dev/null +++ b/Master/texmf-dist/source/latex/amsmath/amsbsy.dtx @@ -0,0 +1,251 @@ +%%% ==================================================================== +%%% @LaTeX-file{ +%%% filename = "amsbsy.dtx", +%%% version = "1.2d", +%%% date = "1999/11/29", +%%% time = "14:26:42 EST", +%%% author = "American Mathematical Society", +%%% copyright = "Copyright 1995 American Mathematical Society, +%%% all rights reserved. Copying of this file is +%%% authorized only if either: +%%% (1) you make absolutely no changes to your copy, +%%% including name; OR +%%% (2) if you do make changes, you first rename it +%%% to some other name.", +%%% address = "American Mathematical Society, +%%% Technical Support, +%%% Electronic Products and Services, +%%% P. O. Box 6248, +%%% Providence, RI 02940, +%%% USA", +%%% telephone = "401-455-4080 or (in the USA and Canada) +%%% 800-321-4AMS (321-4267)", +%%% FAX = "401-331-3842", +%%% checksum = "08988 251 1238 9625", +%%% email = "tech-support@ams.org (Internet)", +%%% codetable = "ISO/ASCII", +%%% keywords = "latex, bold symbol, pmb", +%%% supported = "yes", +%%% abstract = "This is a \LaTeX{} package that provides a command +%%% for producing bold math symbols when appropriate +%%% fonts exist, and a `poor man's bold' command that +%%% can be applied when no appropriate bold font +%%% is available.", +%%% docstring = "The checksum field above contains a CRC-16 +%%% checksum as the first value, followed by the +%%% equivalent of the standard UNIX wc (word +%%% count) utility output of lines, words, and +%%% characters. This is produced by Robert +%%% Solovay's checksum utility.", +%%% } +%%% ==================================================================== +%\iffalse +%<*driver> +\documentclass{amsdtx} +\usepackage{amsbsy} +\begin{document} +\title{The \pkg{amsbsy} package} +\author{Frank Mittelbach\and Rainer Sch\"opf\and Michael Downes} +\date{Version \fileversion, \filedate} +\hDocInput{amsbsy.dtx} +\end{document} +% +%\fi +% +% \maketitle +% +% \MakeShortVerb\| +% +% \section{Introduction} +% +% The package \texttt{amsbsy}, first written in 1989, implements a +% few commands for producing \textbf{bold} characters in the `normal' +% \emph{math version}. +% \begin{quote}\em +% Note: It is recommended nowadays to use the \pkg{bm} package, which +% became available in 1997. +% \end{quote} +% +% If we have bold fonts which contain the character in question then +% we will use these fonts to produce the wanted character. But +% sometimes math fonts are only available in a certain weight +% (e.g.\ the AMS symbol fonts). +% \DescribeMacro\pmb +% For these cases we provide a command which is called \verb+\pmb+ (an +% acronym for \textbf{p}oor \textbf{m}an's \textbf{b}old) with one argument. +% The bolder weight is achieved by copying the argument three times in +% slightly different positions which is better than nothing but no +% match for a real bold font. +% +% \DescribeMacro\boldsymbol +% There also exists the \verb+\boldsymbol+ command which is better in +% all cases where bold fonts exists. This command will internally +% switch to the corresponding `bold' \emph{math version} typeset its +% argument in this version. +% +% Both commands will preserve the nature of their arguments, i.e.\ if +% they get a relational atom their result will again be a relation as +% far as \tex/'s mathspacing is concerned. +% +% Since it is good policy to make at least a small test we try to +% typeset the infinity sign ($\infty$) first with \verb+\pmb+ and then +% with \verb+\boldsymbol+. +% \[ +% \pmb{\infty} = \boldsymbol{\infty} \quad ? +% \] +% \StopEventually{} +% +% Standard package info. +% \begin{macrocode} +\NeedsTeXFormat{LaTeX2e}% LaTeX 2.09 can't be used (nor non-LaTeX) +[1994/12/01]% LaTeX date must December 1994 or later +\ProvidesPackage{amsbsy}[1999/11/29 v1.2d] +% \end{macrocode} +% +% \section{The implementation} +% +% We need some functions from the \pkg{amsgen} package. +% \begin{macrocode} +\RequirePackage{amsgen} +% \end{macrocode} +% +%\begin{macro}{\boldsymbol} +% In implementing boldsymbol, we must take into account \tex/'s +% limitation of only 16 mathgroups (math families, in Knuth's +% terminology). If we wanted to maintain mathgroups for both the bold +% and non-bold version of each math font, it would not take long to +% run out of mathgroups. Therefore what we do instead for a bold +% symbol is embed it in an \verb|\hbox|; inside that \verb|\hbox|, +% when we start another math formula, we can change all the +% mathgroups to their bold equivalents. +% +% However, to get the correct math style inside the hbox (display, +% text, script or scriptscript) we have to use \verb|\mathchoice|. +% Since \verb|\mathversion{bold}| has a lot of overhead, and +% \verb|\mathchoice| typesets the argument text four times, we would +% rather not put the \verb|\mathversion| command inside each +% \verb|\hbox| in the \verb|\mathchoice|; on the other hand, +% \verb|\mathversion| gives an error message if it's used in math +% mode. Therefore if we want to execute \verb|\mathversion{bold}| +% before starting the \verb|\mathchoice| we have to temporarily +% disable the \verb|\@nomath| error. (The error message is intended +% to keep people from accidentally emboldening a preceding part of a +% math formula, since only the mathgroups defined at the end of a +% math formula will determine the fonts used in that formula; but we +% are going to typeset our bold symbol not in the current formula but +% in an embedded formula, so that this danger doesn't apply here.) +% \begin{macrocode} +\DeclareRobustCommand{\boldsymbol}[1]{% +% \end{macrocode} +% Start a group to localize the change of \verb|\@nomath|: +% \begin{macrocode} + \begingroup +% \end{macrocode} +% Disable \verb|\@nomath| so that we don't have to leave math +% mode before executing \verb|\mathversion|: +% \begin{macrocode} + \let\@nomath\@gobble \mathversion{bold}% +% \end{macrocode} +% \cs{math@atom} is a test macro which looks at its argument and +% produces a math atom of the proper class. +% \begin{macrocode} + \math@atom{#1}{% +% \end{macrocode} +% Although it is tempting to use \verb|\text| here, to save some +% main memory, that caused a bug in the past due to some internal +% interactions with \verb|\mathversion|. +% \begin{macrocode} + \mathchoice% + {\hbox{$\m@th\displaystyle#1$}}% + {\hbox{$\m@th\textstyle#1$}}% + {\hbox{$\m@th\scriptstyle#1$}}% + {\hbox{$\m@th\scriptscriptstyle#1$}}}% +% \end{macrocode} +% End the group we started earlier. +% \begin{macrocode} + \endgroup} +% \end{macrocode} +% \end{macro} +% +% \begin{macro}{\math@atom} +% The macro \verb+\math@atom+ looks at its argument and produce a +% correct math atom, i.e.\ a primitive like \verb+\mathopen+. +% Until the day we have a real implementation for all cases we use +% the \verb+\binrel@+ command from \amstex/ which can distinguish +% between binary, relation and ord atoms. +% \begin{macrocode} +\def\math@atom#1#2{% + \binrel@{#1}\binrel@@{#2}} +% \end{macrocode} +% \end{macro} +% +% \begin{macro}{\pmb} +% Poor man's bold command, works by typesetting multiple copies of +% the given argument with small offsets. +% \begin{macrocode} +\DeclareRobustCommand{\pmb}{% + \ifmmode\else \expandafter\pmb@@\fi\mathpalette\pmb@} +% \end{macrocode} +% +% \cs{pmb@@} is called by \cn{pmb} in the non-math-mode case. +% Discard the first two arguments which are for the math-mode case. +% \begin{macrocode} +\def\pmb@@#1#2#3{\leavevmode\setboxz@h{#3}% + \dimen@-\wdz@ + \kern-.5\ex@\copy\z@ + \kern\dimen@\kern.25\ex@\raise.4\ex@\copy\z@ + \kern\dimen@\kern.25\ex@\box\z@ +} +% \end{macrocode} +% +% \begin{macrocode} +\newdimen\pmbraise@ +% \end{macrocode} +% Note: because of the use of \cs{mathpalette}, if \cs{pmb@} is applied to a +% single math italic character (or a single character from some other +% slanted math font), the italic correction will be added. This will +% cause subscripts to fall too far away from the character in some +% cases, e.g., $\pmb{T}_1$ or $\pmb{\mathcal{T}}_1$. +% \begin{macrocode} +\def\pmb@#1#2{\setbox8\hbox{$\m@th#1{#2}$}% + \setboxz@h{$\m@th#1\mkern.5mu$}\pmbraise@\wdz@ + \binrel@{#2}% + \dimen@-\wd8 % + \binrel@@{% + \mkern-.8mu\copy8 % + \kern\dimen@\mkern.4mu\raise\pmbraise@\copy8 % + \kern\dimen@\mkern.4mu\box8 }% +} +% \end{macrocode} +% \end{macro} +% +% \begin{macrocode} +\def\binrel@#1{\begingroup + \setboxz@h{\thinmuskip0mu + \medmuskip\m@ne mu\thickmuskip\@ne mu + \setbox\tw@\hbox{$#1\m@th$}\kern-\wd\tw@ + ${}#1{}\m@th$}% +% \end{macrocode} +% The \cn{noexpand} here should be unnecessary, but just in case +% \ldots +% \begin{macrocode} + \edef\@tempa{\endgroup\let\noexpand\binrel@@ + \ifdim\wdz@<\z@ \mathbin + \else\ifdim\wdz@>\z@ \mathrel + \else \relax\fi\fi}% + \@tempa +} +% \end{macrocode} +% For completeness, assign a default value for \cs{binrel@@}. +% \begin{macrocode} +\let\binrel@@\relax +% \end{macrocode} +% +% The usual \cs{endinput} to ensure that random garbage at the end of +% the file doesn't get copied by \fn{docstrip}. +% \begin{macrocode} +\endinput +% \end{macrocode} +% +% \CheckSum{131} +% \Finale diff --git a/Master/texmf-dist/source/latex/amsmath/amscd.dtx b/Master/texmf-dist/source/latex/amsmath/amscd.dtx new file mode 100644 index 00000000000..7dd765109d1 --- /dev/null +++ b/Master/texmf-dist/source/latex/amsmath/amscd.dtx @@ -0,0 +1,333 @@ +%%% ==================================================================== +%%% @LaTeX-file{ +%%% filename = "amscd.dtx", +%%% version = "2.0", +%%% date = "1999/11/29", +%%% time = "14:30:07 EST", +%%% author = "American Mathematical Society", +%%% copyright = "Copyright 1995, 1999 American Mathematical Society, +%%% all rights reserved. Copying of this file is +%%% authorized only if either: +%%% (1) you make absolutely no changes to your copy, +%%% including name; OR +%%% (2) if you do make changes, you first rename it +%%% to some other name.", +%%% address = "American Mathematical Society, +%%% Technical Support, +%%% Electronic Products and Services, +%%% P. O. Box 6248, +%%% Providence, RI 02940, +%%% USA", +%%% telephone = "401-455-4080 or (in the USA and Canada) +%%% 800-321-4AMS (321-4267)", +%%% FAX = "401-331-3842", +%%% checksum = "07428 333 1152 12117", +%%% email = "tech-support@ams.org (Internet)", +%%% codetable = "ISO/ASCII", +%%% keywords = "latex, commutative diagram", +%%% supported = "yes", +%%% abstract = "This is a \LaTeX{} package that adapts the +%%% commutative diagram macros of AMS-\TeX{} for +%%% use in \LaTeX{}", +%%% docstring = "The checksum field above contains a CRC-16 +%%% checksum as the first value, followed by the +%%% equivalent of the standard UNIX wc (word +%%% count) utility output of lines, words, and +%%% characters. This is produced by Robert +%%% Solovay's checksum utility.", +%%% } +%%% ==================================================================== +%\iffalse +%<*driver> +\documentclass{amsdtx} +\usepackage{amscd} +% Dummy citation to avoid error in an example. +\bibcite{fre:cichon}{C} +\begin{document} +\title{The \pkg{amscd} package} +\author{Frank Mittelbach\and Rainer Sch\"opf\and Michael Downes} +\date{Version \fileversion, \filedate} +\hDocInput{amscd.dtx} +\end{document} +% +%\fi +% +% \maketitle +% +% \MakeShortVerb\| +% \newcommand{\operatorname}[1]{\mathop{\mathrm{#1}}} +% \newcommand{\per}{\operatorname{per}} +% \newcommand{\cov}{\operatorname{cov}} +% \newcommand{\non}{\operatorname{non}} +% \newcommand{\cf}{\operatorname{cf}} +% \newcommand{\add}{\operatorname{add}} +% \newcommand{\End}{\operatorname{End}} +% +% \section{Introduction} +% +% The \pkg{amscd} package provides a \env{CD} environment that +% emulates the commutative diagram capabilities of \amstex/ version +% 2.x. This means that only simple rectangular diagrams are +% supported, with no diagonal arrows or more exotic features. Many +% users will be better served by one of the more powerful diagram +% packages such as \pkg{diagram}, \pkg{xypic}, or \pkg{kuvio}. +% +% Example: +% \begin{equation}\begin{CD} +% S^{{\mathcal{W}}_\Lambda}\otimes T @>j>> T\\ +% @VVV @VV{\End P}V\\ +% (S\otimes T)/I @= (Z\otimes T)/J +% \end{CD}\end{equation} +% \begin{verbatim} +% \begin{equation}\begin{CD} +% S^{{\mathcal{W}}_\Lambda}\otimes T @>j>> T\\ +% @VVV @VV{\End P}V\\ +% (S\otimes T)/I @= (Z\otimes T)/J +% \end{CD}\end{equation} +% \end{verbatim} +% (assuming \cn{End} is defined as an `operator name'. +% +% Another example: +% +% We will make liberal use of Cichon's Diagram \cite{fre:cichon}: +% \begin{equation} +% \begin{CD} +% \cov(\mathcal{L}) @>>> \non(\mathcal{K}) @>>> \cf(\mathcal{K}) @>>> +% \cf(\mathcal{L})\\ +% @VVV @AAA @AAA @VVV\\ +% \add(\mathcal{L}) @>>> \add(\mathcal{K}) @>>> \cov(\mathcal{K}) @>>> +% \non(\mathcal{L}) +% \end{CD}\end{equation} +% \begin{verbatim} +% \begin{equation}\begin{CD} +% \cov(\mathcal{L}) @>>> \non(\mathcal{K}) @>>> \cf(\mathcal{K}) @>>> +% \cf(\mathcal{L})\\ +% @VVV @AAA @AAA @VVV\\ +% \add(\mathcal{L}) @>>> \add(\mathcal{K}) @>>> \cov(\mathcal{K}) @>>> +% \non(\mathcal{L}) +% \end{CD}\end{equation} +% \end{verbatim} +% +% \StopEventually{} +% +% Standard package info. +% \begin{macrocode} +\NeedsTeXFormat{LaTeX2e}% LaTeX 2.09 can't be used (nor non-LaTeX) +[1994/12/01]% LaTeX date must December 1994 or later +\ProvidesPackage{amscd}[1999/11/29 v2.0] +% \end{macrocode} +% \begin{macrocode} +\RequirePackage{amsgen} +% \end{macrocode} +% Better not to redefine \verb|\math@cr| if it is already defined, +% because for CD use only we want to omit the part of the code +% related to \verb|\dspbrk@lvl| (see \fn{amsmath.sty}). +% +% [mjd,1999/11/04] These definitions have gone somewhat obsolete; but +% we had probably better leave them as they are for backward +% compatibility. +% \begin{macrocode} +\@ifundefined{math@cr}{% + \def\math@cr{{\ifnum0=`}\fi + \@ifstar{\global\@eqpen\@M\math@cr@}% + {\global\@eqpen\interdisplaylinepenalty \math@cr@}} +% \end{macrocode} +% The following section merely duplicates some code from the +% \pkg{amsmath} package, in case the \pkg{amscd} package is used by +% itself. For documentation of the code refer to \fn{amsmath.dtx}. +% \begin{macrocode} + \def\math@cr@{\new@ifnextchar[\math@cr@@{\math@cr@@[\z@]}} + \def\math@cr@@[#1]{\ifnum0=`{\fi}\math@cr@@@ + \noalign{\vskip#1\relax}} + \def\restore@math@cr{\def\math@cr@@@{\cr}} +}{} +\restore@math@cr +% \end{macrocode} +% [mjd,1999/11/04] These definitions too are somewhat obsolete; +% but we had probably better leave them as they are for backward +% compatibility. +% \begin{macrocode} +\@ifundefined{rightarrowfill@}{ + \def\rightarrowfill@#1{\m@th\setboxz@h{$#1-$}\ht\z@\z@ + $#1\copy\z@\mkern-6mu\cleaders + \hbox{$#1\mkern-2mu\box\z@\mkern-2mu$}\hfill + \mkern-6mu\mathord\rightarrow$} + \def\leftarrowfill@#1{\m@th\setboxz@h{$#1-$}\ht\z@\z@ + $#1\mathord\leftarrow\mkern-6mu\cleaders + \hbox{$#1\mkern-2mu\copy\z@\mkern-2mu$}\hfill + \mkern-6mu\box\z@$} + \def\leftrightarrowfill@#1{\m@th\setboxz@h{$#1-$}\ht\z@\z@ + $#1\mathord\leftarrow\mkern-6mu\cleaders + \hbox{$#1\mkern-2mu\box\z@\mkern-2mu$}\hfill + \mkern-6mu\mathord\rightarrow$} +}{} +% \end{macrocode} +% +% \begin{macrocode} +\def\atdef@#1{\expandafter\def\csname\space @\string#1\endcsname} +\@ifundefined{Iat}{% + \DeclareRobustCommand{\Iat}{\FN@\at@} +}{} +\begingroup \catcode`\@=\active +% \end{macrocode} +% Define math \qc{\@} to replicate its mathcode-dictated behavior. +% This is in case \qc{\@} occurs outside of \env{CD}. +% \begin{macrocode} +\csname if\string @compatibility\endcsname +\else \fam=\mathcode`\@ + \xdef @{\mathchar\number\fam\space } +\fi +\gdef\CDat{\let @=\Iat} +\endgroup +\mathcode`\@="8000 % make @ pseudo-active in math +\def\at@{\let\next@\at@@ + \ifcat\noexpand\next a\else + \ifcat\noexpand\next0\else + \ifcat\noexpand\next\relax\else + \let\next@\at@@@\fi\fi\fi\next@} +\def\at@@#1{\expandafter + \ifx\csname\space @\string#1\endcsname\relax + \DN@{\at@@@#1}% + \else + \DN@{\csname\space @\string#1\endcsname}% + \fi\next@}% +% \end{macrocode} +% The following items should be defined only if they are not +% already defined, either to leave the package name untouched (in +% the case of \cs{PackageError}) or to avoid redundant allocation +% of token or dimen registers. +% \begin{macrocode} +\@ifundefined{default@tag}{% + \def\default@tag{% + \def\tag{\PackageError{amscd}{\protect\tag\space not allowed + here}\@eha}}% +}{}% +\@ifundefined{at@@@}{% + \def\at@@@{\PackageError{amscd}{\Invalid@@ @}{\the\athelp@}\char64\relax} +}{} +\@ifundefined{athelp@}{\csname newhelp\endcsname\athelp@ +{Only certain combinations beginning with @ make sense to me.^^J% +I'll assume you wanted @@ for a printed @.}}{} +\@ifundefined{minaw@}{\newdimen\minaw@}{} +\@ifundefined{bigaw@}{\newdimen\bigaw@}{} +% \end{macrocode} +% +% Assignment of a couple of dimensions, and initialization of +% \verb=\ampersand@=. We check to see if we need to define +% \verb=\minaw@= and \verb=\bigaw@=. +% \begin{macrocode} +\minaw@11.111pt +\newdimen\minCDarrowwidth +\minCDarrowwidth2.5pc +\newif\ifCD@ +\let\ampersand@\relax +% \end{macrocode} +% +% Added \verb|\restore@math@cr\default@tag| to fix line numbering +% problems, 7-JUN-1991. Suggested by I.~Zakharevich. +% \begin{macrocode} +\newenvironment{CD}{% + \CDat + \bgroup\relax\iffalse{\fi\let\ampersand@&\iffalse}\fi + \CD@true\vcenter\bgroup\let\\\math@cr\restore@math@cr\default@tag + \tabskip\z@skip\baselineskip20\ex@ + \lineskip3\ex@\lineskiplimit3\ex@\halign\bgroup + &\hfill$\m@th##$\hfill\crcr +}{% + \crcr\egroup\egroup\egroup +} +% \end{macrocode} +% +% \begin{macro}{\CD@check} +% This check is used by all macros that must not appear outside the +% \env{CD} environment. The first argument is the symbol to be used +% after \verb+@+, the second one the action to be performed. +% +% Once again we use the trick of defining a temporary control +% sequence \verb+\next@+ and calling it after the final \verb+\fi+. +% This is not absolutely necessary, but it ensures that the +% conditional text is processed in one and the same column +% of the enclosing alignment. +% \begin{macrocode} +\def\CD@check#1#2{\ifCD@\DN@{#2}\else + \DN@{\PackageError{amscd}{@\protect#1 not + allowed outside of the CD environment}\@eha}% + \fi\next@} +% \end{macrocode} +% \end{macro} +% +% \begin{macrocode} +\atdef@>#1>#2>{\ampersand@ + \ifCD@ \global\bigaw@\minCDarrowwidth \else \global\bigaw@\minaw@ \fi + \setboxz@h{$\m@th\scriptstyle\;{#1}\;\;$}% + \ifdim\wdz@>\bigaw@\global\bigaw@\wdz@\fi +% \end{macrocode} +% If \verb|#2| is empty we can save some work. +% \begin{macrocode} + \@ifnotempty{#2}{\setbox\@ne\hbox{$\m@th\scriptstyle\;{#2}\;\;$}% + \ifdim\wd\@ne>\bigaw@\global\bigaw@\wd\@ne\fi}% + \ifCD@\enskip\fi + \mathrel{\mathop{\hbox to\bigaw@{\rightarrowfill@\displaystyle}}% + \limits^{#1}\@ifnotempty{#2}{_{#2}}}% + \ifCD@\enskip\fi \ampersand@} +% +\atdef@<#1<#2<{\ampersand@ + \ifCD@ \global\bigaw@\minCDarrowwidth \else \global\bigaw@\minaw@ \fi + \setboxz@h{$\m@th\scriptstyle\;\;{#1}\;$}% + \ifdim\wdz@>\bigaw@ \global\bigaw@\wdz@ \fi + \@ifnotempty{#2}{\setbox\@ne\hbox{$\m@th\scriptstyle\;\;{#2}\;$}% + \ifdim\wd\@ne>\bigaw@ \global\bigaw@\wd\@ne \fi}% + \ifCD@\enskip\fi + \mathrel{\mathop{\hbox to\bigaw@{\leftarrowfill@\displaystyle}}% + \limits^{#1}\@ifnotempty{#2}{_{#2}}}% + \ifCD@\enskip\fi \ampersand@} +% \end{macrocode} +% +% Variants of the above two arrows, using \verb|(| and \verb|)| +% characters instead of \verb|<| and \verb|>| characters, are +% provided for those whose keyboards don't have the latter. +% \begin{macrocode} +\begingroup \catcode`\~=\active \lccode`\~=`\@ +\lowercase{% + \global\atdef@)#1)#2){~>#1>#2>} + \global\atdef@(#1(#2({~<#1<#2<} +}% end lowercase +\endgroup +% \end{macrocode} +% +% \begin{macrocode} +\atdef@ A#1A#2A{\CD@check{A..A..A}{\llap{$\m@th\vcenter{\hbox + {$\scriptstyle#1$}}$}\Big\uparrow + \rlap{$\m@th\vcenter{\hbox{$\scriptstyle#2$}}$}&&}} +% +\atdef@ V#1V#2V{\CD@check{V..V..V}{\llap{$\m@th\vcenter{\hbox + {$\scriptstyle#1$}}$}\Big\downarrow + \rlap{$\m@th\vcenter{\hbox{$\scriptstyle#2$}}$}&&}} +% +\atdef@={\CD@check={&\enskip\mathrel + {\vbox{\hrule\@width\minCDarrowwidth\vskip2\ex@\hrule\@width + \minCDarrowwidth}}\enskip&}} +% +\atdef@|{\CD@check|{\Big\Vert&&}} +% +\atdef@\vert{\CD@check\vert{\Big\Vert&&}} +% +\atdef@.{\CD@check.{&&}} +% \end{macrocode} +% +% The \cn{pretend} command has weird syntax that doesn't fit well +% with standard \latex/ syntax so we leave it undone, at least for +% now. [mjd,1994/10/27] +% \begin{macrocode} +%\def\pretend#1\haswidth#2{\setboxz@h{$\m@th\scriptstyle{#2}$}\hbox +% to\wdz@{\hfill$\m@th\scriptstyle{#1}$\hfill}} +% \end{macrocode} +% +% The usual \cs{endinput} to ensure that random garbage at the end of +% the file doesn't get copied by \fn{docstrip}. +% \begin{macrocode} +\endinput +% \end{macrocode} +% +% \CheckSum{459} +% \Finale diff --git a/Master/texmf-dist/source/latex/amsmath/amsdtx.cls b/Master/texmf-dist/source/latex/amsmath/amsdtx.cls new file mode 100644 index 00000000000..96a50814c8f --- /dev/null +++ b/Master/texmf-dist/source/latex/amsmath/amsdtx.cls @@ -0,0 +1,517 @@ +%% +%% This is file `amsdtx.cls', +%% generated with the docstrip utility. +%% +%% The original source files were: +%% +%% amsdtx.dtx (with options: `amsdtx') +%% +%%% ==================================================================== +%%% @LaTeX-file{ +%%% filename = "amsdtx.dtx", +%%% version = "2.06", +%%% date = "2004/08/06", +%%% time = "12:18:49 EDT", +%%% checksum = "19929 1192 3506 39423", +%%% author = "Michael J. Downes, updated by David M. Jones", +%%% copyright = "Copyright 1996, 1999, 2004 +%%% American Mathematical Society, +%%% all rights reserved. Copying of this file is +%%% authorized only if either: +%%% (1) you make absolutely no changes to your copy, +%%% including name; OR +%%% (2) if you do make changes, you first rename it +%%% to some other name.", +%%% address = "American Mathematical Society, +%%% Technical Support, +%%% Publications Technical Group, +%%% 201 Charles Street, +%%% Providence, RI 02904, +%%% USA", +%%% telephone = "401-455-4080 or (in the USA and Canada) +%%% 800-321-4AMS (321-4267)", +%%% FAX = "401-331-3842", +%%% email = "tech-support@ams.org (Internet)", +%%% codetable = "ISO/ASCII", +%%% keywords = "latex, amslatex, ams-latex, user documentation", +%%% supported = "yes", +%%% abstract = "This is the source for two document classes, amsdtx +%%% and amsldoc, used to produce AMS user documentation +%%% or technical documentation.", +%%% docstring = "The checksum field above contains a CRC-16 +%%% checksum as the first value, followed by the +%%% equivalent of the standard UNIX wc (word +%%% count) utility output of lines, words, and +%%% characters. This is produced by Robert +%%% Solovay's checksum utility.", +%%% } +%%% ==================================================================== +\NeedsTeXFormat{LaTeX2e}% LaTeX 2.09 can't be used (nor non-LaTeX) +[1995/06/01]% LaTeX date must be June 1995 or later +\ProvidesClass{amsdtx}[2004/08/06 v2.06] +\DeclareOption*{\PassOptionsToClass{\CurrentOption}{book}} +\ProcessOptions +\LoadClass{book} +\IfFileExists{url.sty}{% + \RequirePackage{url}\relax + \@gobble +}{% + \@firstofone +} +{ + \DeclareRobustCommand{\url}[1]{% + \def\@tempa{#1}% + \texttt{\urlsetup $\expandafter\strip@prefix\meaning\@tempa$}% + }% + \def\urlsetup{% + \check@mathfonts \textfont\@ne\the\font \textfont\z@\the\font + \urlfix +\urlfix\=\urlfix\:\urlfix\-\urlfix\.\urlfix\,\urlfix\;% + \urlbreak\&\urlbreak\/\urlbreak\?% + }% + \def\urlbreak#1{% + \mathcode`#1="8000 + \begingroup \lccode`\~=`#1 \lowercase{\endgroup \edef~}% + {\mathchar\number`#1\penalty\hyphenpenalty}% + }% + \def\urlfix#1{% + \mathcode`#1=`#1\relax + }% +} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\providecommand{\qq}[1]{\textquotedblleft#1\/\textquotedblright} +\providecommand{\mdash}{\textemdash\penalty\exhyphenpenalty} +\providecommand{\ndash}{\textendash\penalty\exhyphenpenalty} +\let\@xp\expandafter +\newcommand*{\autoindex}[1]{% + \index{#1\ifcodeline@index\encapchar usage\fi}% +} +\newcommand{\ntt}{\normalfont\ttfamily} +\newcommand*{\indexcs}[1]{% + \@xp\@xp\@xp\@indexcs\@xp\@nobslash\string#1\@nil +} +\def\@indexcs#1\@nil{% + \autoindex{#1\actualchar + \string\verb\quotechar*\verbatimchar + \@xp\@bothoftwo\string\ #1\@empty + \verbatimchar + }% +} +\def\@bothoftwo#1#2{#1#2} +\def\category@index#1#2{% + {\ntt#2}% + \@category@index{#1}{#2}% +} +\def\@category@index#1#2{% + \autoindex{% + #2\actualchar\string\texttt{#2}% + \ifx\@nil#1\@nil\else\space#1\fi + }% +} +\chardef\bslchar=`\\ % p. 424, TeXbook +\newcommand{\addbslash}{\expandafter\@addbslash\string} +\def\@addbslash#1{\bslchar\@nobslash#1} +\newcommand{\nobslash}{\expandafter\@nobslash\string} +\def\@nobslash#1{\ifnum`#1=\bslchar\else#1\fi} +\def\@boxorbreak{% + \leavevmode + \ifmmode\hbox\else\ifdim\lastskip=\z@\penalty9999 \fi\fi +} +\DeclareRobustCommand{\cs}[1]{% + \@boxorbreak{% + \ntt + \addbslash#1\@empty + \@xp\@xp\@xp\@indexcs\@xp\@nobslash\string#1\@nil + }% +} +\let\cn\cs +\DeclareRobustCommand{\cls}{\category@index{class}} +\DeclareRobustCommand{\pkg}{\category@index{package}} +\DeclareRobustCommand{\opt}{\category@index{option}} +\DeclareRobustCommand{\env}[1]{{\ntt#1}\SpecialEnvIndex{#1}} +\DeclareRobustCommand{\fn}{\category@index{}} +\DeclareRobustCommand{\bst}{\category@index{\string\BibTeX{} style}} +\DeclareRobustCommand{\cnt}{\category@index{counter}} +\DeclareRobustCommand{\fnt}{\category@index{font}} +\def\allowtthyphens{\begingroup + \fontencoding{OT1}\fontfamily{cmtt}% + \expandafter\let\csname OT1+cmtt\endcsname\relax + \try@load@fontshape + \endgroup + \expandafter\let\csname OT1+cmtt\endcsname\@empty +} +\hfuzz2pc +\vbadness9999 \hbadness5000 +\def\AmS{{\protect\usefont{OMS}{cmsy}{m}{n}% + A\kern-.1667em\lower.5ex\hbox{M}\kern-.125emS}} +\def\latex/{{\protect\LaTeX}} +\def\amslatex/{{\protect\AmS-\protect\LaTeX}} +\def\tex/{{\protect\TeX}} +\def\amstex/{{\protect\AmS-\protect\TeX}} +\def\bibtex/{{Bib\protect\TeX}} +\def\makeindx/{MakeIndex} +\def\xypic/{XY\mbox{-}pic} +\newcommand{\Textures}{\textit{Textures}} +\def\<#1>{\textit{$\langle$#1\/$\rangle$}} +\def\@listi{% + \leftmargin\leftmargini + \topsep 3\p@ \@plus2\p@ \@minus\p@ + \parsep \p@ \@plus\p@ \itemsep\parsep +} +\let\@listI\@listi +\@listi +\def\@listii{% + \leftmargin\leftmarginii + \labelwidth\leftmarginii \advance\labelwidth-\labelsep + \topsep\p@\@plus\p@ \@minus\p@ + \parsep\z@skip \itemsep\z@skip +} +\def\@listiii{% + \leftmargin\leftmarginiii + \labelwidth\leftmarginiii \advance\labelwidth-\labelsep + \topsep\z@skip \parsep\z@skip \itemsep\z@skip +} +\newenvironment{histnote}{% + \trivlist\item[\hspace{\labelsep}\bfseries Historical Note:]% +}{% + \endtrivlist +} +\def\@starttoc#1{\begingroup + \let\autoindex\@gobble + \makeatletter + \@input{\jobname.#1}\if@filesw + \expandafter\newwrite\csname tf@#1\endcsname + \immediate\openout + \csname tf@#1\endcsname \jobname.#1\relax + \fi \global\@nobreakfalse \endgroup} +\newcommand*{\secref}[1]{\S\ref{#1}} +\newcommand{\qc}[1]{}% check for prior definition +\edef\qc#1{\noexpand\protect\expandafter\noexpand\csname qc \endcsname + \noexpand\protect#1} +\@namedef{qc }#1#2{\begingroup\ntt + \ifx\ #2\char`\ \else\escapechar\m@ne\string#2\fi\endgroup} +\DeclareRobustCommand{\qcat}{\qc\@}% +\DeclareRobustCommand{\qcamp}{\qc\&}% +\DeclareRobustCommand{\qcbang}{\qc\!}% +\DeclareRobustCommand{\arg}[1]{{\ntt\##1}} +\def\ncn#1{{\let\index\@gobble\cn{#1}}} + +\DeclareRobustCommand{\cnbang}{% + \ncn{\!}\index{"!@{\ntt\bslchar\qcbang}}} +\DeclareRobustCommand{\cnat}{% + \ncn{\!}\index{"@@{\ntt\bslchar\qcat}}} +\def\5{\penalty500 } +\newcommand{\errexa}{\par\noindent\textit{Example}:\ } +\newcommand{\errexpl}{\par\noindent\textit{Explanation}:\ } +\renewcommand\chapter{\par \@afterindentfalse + \secdef\@chapter\@schapter} +\def\@chapter[#1]#2{\ifnum \c@secnumdepth >\m@ne + \if@mainmatter + \refstepcounter{chapter}% + \typeout{\@chapapp\space\thechapter.}% + \addcontentsline{toc}{chapter}% + {\protect\numberline{\thechapter}#1}% + \else + \addcontentsline{toc}{chapter}{#1}\fi + \else + \addcontentsline{toc}{chapter}{#1} + \fi + \chaptermark{#1}% + \addtocontents{lof}{\protect\addvspace{10\p@}}% + \addtocontents{lot}{\protect\addvspace{10\p@}}% + \if@twocolumn + \@topnewpage[\@makechapterhead{#2}]% + \else + \@makechapterhead{#2}% + \@afterheading + \fi} +\def\@makechapterhead#1{% + \vspace{1.5\baselineskip}% + {\parindent \z@ \raggedright \reset@font + \ifnum \c@secnumdepth >\m@ne + \large\bfseries \@chapapp\space\thechapter + \par\nobreak + \vskip.5\baselineskip\relax + \fi + #1\par\nobreak + \vskip\baselineskip + }} +\def\@schapter#1{\if@twocolumn + \@topnewpage[\@makeschapterhead{#1}]% + \else + \@makeschapterhead{#1}% + \@afterheading + \fi} +\def\@makeschapterhead#1{% + \vspace*{1.5\baselineskip}% + {\parindent \z@ \raggedright + \reset@font + \large \bfseries #1\par\nobreak + \vskip\baselineskip + }} +\def\@removefromreset#1#2{\let\@tempb\@elt + \expandafter\let\expandafter\@tempa\csname c@#1\endcsname + \def\@elt##1{\expandafter\ifx\csname c@##1\endcsname\@tempa\else + \noexpand\@elt{##1}\fi}% + \expandafter\edef\csname cl@#2\endcsname{\csname cl@#2\endcsname}% + \let\@elt\@tempb} +\@removefromreset{footnote}{chapter} +\def\ps@headings{% + \let\@oddfoot\@empty\let\@evenfoot\@empty + \def\@evenhead{\thepage\hfil{\footnotesize\leftmark{}{}}}% + \def\@oddhead{{\footnotesize\rightmark{}{}}\hfil\thepage}% + \let\@mkboth\markboth + \def\chaptermark##1{% + \markboth {\uppercase{\ifnum \c@secnumdepth >\m@ne + \if@mainmatter + \@chapapp\ \thechapter. \ \fi + \fi + ##1}}{}}% + \def\sectionmark##1{% + \markright {\uppercase{\ifnum \c@secnumdepth >\z@ + \thesection. \ \fi + ##1}}}} +\renewcommand\maketitle{\par + \begingroup + \renewcommand\thefootnote{\fnsymbol{footnote}}% + \def\@makefnmark{\hbox to\z@{$\m@th^{\@thefnmark}$\hss}}% + \long\def\@makefntext##1{\parindent 1em\noindent + \hbox to1.8em{\hss$\m@th^{\@thefnmark}$}##1}% + \if@twocolumn + \ifnum \col@number=\@ne + \@maketitle + \else + \twocolumn[\@maketitle]% + \fi + \else + \newpage + \global\@topnum\z@ % Prevents figures from going at top of page. + \@maketitle + \fi + \thispagestyle{plain}\@thanks + \endgroup + \setcounter{footnote}{0}% + \let\thanks\relax + \let\maketitle\relax\let\@maketitle\relax + \gdef\@thanks{}\gdef\@author{}\gdef\@title{}} +\def\@maketitle{% + \newpage + \null + \vskip 2em% + \begin{center}% + {\LARGE \@title \par}% + \vskip 1.5em% + {\large + \lineskip .5em% + \begin{tabular}[t]{c}% + \@author + \end{tabular}\par}% + \vskip 1em% + {\large \@date}% + \end{center}% + \par + \uppercase\expandafter{\expandafter\toks@\expandafter{\@title}}% + \edef\@tempa{\noexpand\markboth{\the\toks@}{\the\toks@}}% + \@tempa + \vskip 1.5em} +\renewcommand\tableofcontents{% + \if@twocolumn + \@restonecoltrue\onecolumn + \else + \@restonecolfalse + \fi + \subsection*{\contentsname}% + \@starttoc{toc}% + \if@restonecol\twocolumn\fi + } +\renewcommand\section{\@startsection {section}{1}{\z@}% + {-.6\baselineskip \@plus -3\p@}% + {.4\baselineskip} + {\reset@font\Large\bfseries}} +\renewcommand\subsection{\@startsection{subsection}{2}{\z@}% + {-.3\baselineskip\@plus -2\p@}% + {.2\baselineskip}% + {\reset@font\large\bfseries}} +\renewcommand\subsubsection{\@startsection{subsubsection}{3}{\z@}% + {-.2\baselineskip\@plus -2\p@}% + {.2\baselineskip}% + {\reset@font\normalsize\bfseries}} +\renewenvironment{theindex}{% + \if@twocolumn \@restonecolfalse \else \@restonecoltrue \fi + \columnseprule \z@ \columnsep 35\p@ + \let\autoindex\@gobble + \twocolumn[\section*{\indexname}]% + \addcontentsline{toc}{chapter}{\indexname}% + \@mkboth{\uppercase{\indexname}}{\uppercase{\indexname}}% + \thispagestyle{plain}\parindent\z@ + \parskip\z@ \@plus .3\p@\relax + \let\item\@idxitem +}{% + \if@restonecol\onecolumn\else\clearpage\fi +} +\renewcommand{\thesection}{\arabic{section}} +\long\def\@makecaption#1#2{% + \addvspace\abovecaptionskip + \begingroup + \countdef\@parcycles=8 % local count register + \@parcycles\z@ + \@setpar{\advance\@parcycles\@ne \ifnum\@parcycles>999 + \@@par\@parcycles\z@\fi + \ifhmode \unskip\hskip\parfillskip\penalty-\@M\fi}% + \@hangfrom{\textbf{#1.} }\vadjust{\penalty\m@ne}#2% + \endgroup + \ifhmode\unpenalty\fi\par + \ifnum\lastpenalty=\m@ne % only one line in the caption + \unpenalty \setbox\@tempboxa\lastbox + \nointerlineskip + \hbox to\hsize{\hfill\unhbox\@tempboxa\unskip\hfill}% + \fi + \nobreak\vskip\belowcaptionskip +} +\renewenvironment{table}{% + \belowcaptionskip\abovecaptionskip \abovecaptionskip\z@skip + \@float{table}% +}{% + \end@float +} +\renewenvironment{table*}{% + \belowcaptionskip\abovecaptionskip \abovecaptionskip\z@skip + \@dblfloat{table}% +}{% + \end@dblfloat +} +\setcounter{topnumber}{4}\setcounter{bottomnumber}{4} +\setcounter{totalnumber}{4}\setcounter{dbltopnumber}{4} +\renewcommand{\topfraction}{.97}\renewcommand{\bottomfraction}{.97} +\renewcommand{\textfraction}{.03}\renewcommand{\floatpagefraction}{.9} +\renewcommand{\dbltopfraction}{.97} +\renewcommand{\dblfloatpagefraction}{.9} +\setlength{\floatsep}{8pt plus6pt} +\setlength{\textfloatsep}{10pt plus8pt} +\setlength{\intextsep}{8pt plus6pt} +\setlength{\dblfloatsep}{8pt plus6pt} +\setlength{\dbltextfloatsep}{10pt plus8pt} +\setlength{\@fptop}{0pt}\setlength{\@fpsep}{8pt}% +\setlength{\@fpbot}{0pt plus 1fil} +\setlength{\@dblfptop}{0pt}\setlength{\@dblfpsep}{8pt}% +\setlength{\@dblfpbot}{0pt plus 1fil} + +\pagestyle{headings} +\newcommand{\arrayargpatch}{% + \let\@oldarray\@array + \edef\@array[##1]##2{\catcode\number`\|=\number\catcode`\| + \catcode\number`\@=\number\catcode`\@ \relax + \let\noexpand\@array\noexpand\@oldarray + \noexpand\@array[##1]{##2}}% + \catcode`\|=12 \catcode`\@=12 \relax +} +\newenvironment{ctab}{% + \par\topsep\medskipamount + \trivlist\centering + \item[]% + \arrayargpatch + \begin{tabular}% +}{% + \end{tabular}% + \endtrivlist +} +\RequirePackage{doc} +\def\AltMacroFont{\MacroFont} +\def\SpecialMainEnvIndex#1{% + \@bsphack + \special@index{% + #1\actualchar\string\texttt{#1} environment\encapchar main% + }% + \special@index{% + environments:\levelchar#1% + \actualchar\string\texttt{#1}% + \encapchar main}% + \@esphack +} +\def\SpecialEnvIndex#1{% + \@bsphack + \index{#1\actualchar\string\texttt{#1} environment\encapchar usage}% + \index{% + environments:\levelchar#1% + \actualchar\string\texttt{#1}% + \encapchar usage}% + \@esphack +} +\def\DescribeOption{% + \leavevmode + \@bsphack + \begingroup + \MakePrivateLetters + \Describe@Option +} +\def\Describe@Option#1{% + \endgroup + \marginpar{\raggedleft\PrintDescribeOption{#1}}% + \SpecialOptionIndex{#1}% + \@esphack + \ignorespaces +} +\def\PrintDescribeOption#1{\strut \MacroFont #1\ } +\def\option{% + \let\SpecialMainEnvIndex\SpecialMainOptionIndex +\begingroup + \catcode`\\12 + \MakePrivateLetters \m@cro@ \iffalse} +\def\SpecialMainOptionIndex#1{% + \@bsphack + \special@index{#1\actualchar\string\texttt{#1} option\encapchar main}% + \@esphack +} +\def\SpecialOptionIndex{\@category@index{option}} +\def\hDocInput#1{\MakePercentIgnore + \begingroup + \begingroup \lccode`\~=`\@ + \lowercase{\endgroup\long\def ~}##1##{% + \catcode`\==12 \skipfileheader{##1}}% + \catcode`\@=\active \catcode`\==14 % comment + \def\filename{#1}% + \@@input#1 \MakePercentComment} +\def\skipfileheader#1#2 {\endgroup + \hGetFileInfo#2 version = "??" date = "??"\@nil + \begingroup\catcode`\==9 \catcode`\ =9 \futurelet\0\endgroup +} +\long\def\hGetFileInfo#1 version = "#2"#3 date = "#4"#5\@nil{% + \def\fileversion{#2}\def\filedate{#4}} +\DoNotIndex{\@xp,\@nx,\@empty,\newcommand,\renewcommand} +\DoNotIndex{\newenvironment,\renewenvironment,\providecommand} +\DoNotIndex{\if,\fi,\ifnum,\fi,\@let@token,\futurelet,\fsa@n} +\DoNotIndex{\ignorespaces,\@tempcnta,\@tempcntb,\count@} +\DoNotIndex{\toks@,\@ne,\advance} +\DoNotIndex{\!,\/,\?,\@,\^,\_} +\DoNotIndex{\@@par,\@M,\@auxout,\@bsphack,\@esphack,\@depth,\@ehc} +\DoNotIndex{\@for,\@flushglue,\@gobble,\@gobbletwo,\@height,\@idxitem} +\DoNotIndex{\@ifnextchar,\@ifstar,\@ifundefined,\@input,\@latexerr} +\DoNotIndex{\@makeschapterhead,\@namedef,\@nameuse,\@nil} +\DoNotIndex{\@nobreakfalse,\@restonecolfalse,\@restonecoltrue} +\DoNotIndex{\@tempa,\@tempb,\@tempc,\@tempf,\@temptokena,\@themark,\@width} +\DoNotIndex{\active,\aindex,\baselineskip,\begin,\begingroup,\box} +\DoNotIndex{\c@page,\catcode,\chapter,\char,\chardef,\closeout} +\DoNotIndex{\CodelineIndex,\sp,\sb,\label,\leavevmode,\mark} +\DoNotIndex{\mark,\newinsert,\newwrite,\newtoks,\xdef} +\DoNotIndex{\columnsep,\columnseprule,\columnwidth,\csname,\def} +\DoNotIndex{\dimen,\do,\DocInput,\documentstyle,\edef,\em} +\DoNotIndex{\EnableCrossrefs,\end,\endcsname,\endgroup,\endinput} +\DoNotIndex{\everypar,\expandafter,\filedate,\fileversion} +\DoNotIndex{\footnotesize,\gdef,\global,\glossary,\hangindent} +\DoNotIndex{\if@filesw,\else,\fi} +\DoNotIndex{\if@nobreak,\if@twocolumn,\if@twoside,\fi,\fi,\fi} +\DoNotIndex{\hsize,\hskip} +\DoNotIndex{\ifhmode,\ifmmode,\ifodd,\ifvmode,\ifx,\fi,\fi,\fi,\fi,\fi} +\DoNotIndex{\ifcase,\ifdim,\ifeof,\iffalse,\iftrue,\fi,\fi,\fi,\fi,\fi} +\DoNotIndex{\ifcat,\fi} +\DoNotIndex{\immediate,\insert,\item,\jobname,\long} +\DoNotIndex{\let,\lineskip,\marginparsep,\marginparwidth,\maxdimen} +\DoNotIndex{\makeatletter,\noexpand,\openout,\protect,\rlap} +\DoNotIndex{\min,\newpage,\nobreak,\normalbaselineskip} +\DoNotIndex{\normallineskip,\p@,\par,\parfillskip,\parindent,\parskip} +\DoNotIndex{\penalty,\relax,\section,\sin,\sloppy,\space,\string} +\DoNotIndex{\tableofcontents,\the,\thepage,\thispagestyle,\toks,\tt} +\DoNotIndex{\twocolumn,\uppercase,\vbox,\vrule,\vskip,\vss} +\DoNotIndex{\write,\z@,\z@skip} +\endinput +%% +%% End of file `amsdtx.cls'. diff --git a/Master/texmf-dist/source/latex/amsmath/amsgen.dtx b/Master/texmf-dist/source/latex/amsmath/amsgen.dtx new file mode 100644 index 00000000000..dddaadd9af8 --- /dev/null +++ b/Master/texmf-dist/source/latex/amsmath/amsgen.dtx @@ -0,0 +1,396 @@ +%%% ==================================================================== +%%% @LaTeX-file{ +%%% filename = "amsgen.dtx", +%%% version = "2.0", +%%% date = "1999/11/30", +%%% time = "12:33:33 EST", +%%% author = "American Mathematical Society", +%%% copyright = "Copyright 1995, 1999 American Mathematical Society, +%%% all rights reserved. Copying of this file is +%%% authorized only if either: +%%% (1) you make absolutely no changes to your copy, +%%% including name; OR +%%% (2) if you do make changes, you first rename it +%%% to some other name.", +%%% address = "American Mathematical Society, +%%% Technical Support, +%%% Electronic Products and Services, +%%% P. O. Box 6248, +%%% Providence, RI 02940, +%%% USA", +%%% telephone = "401-455-4080 or (in the USA and Canada) +%%% 800-321-4AMS (321-4267)", +%%% FAX = "401-331-3842", +%%% checksum = "07569 396 1613 14368", +%%% email = "tech-support@ams.org (Internet)", +%%% codetable = "ISO/ASCII", +%%% keywords = "latex, amslatex, ams-latex", +%%% supported = "yes", +%%% abstract = "This is part of the AMS-\LaTeX{} distribution. +%%% It contains some general internal macros shared +%%% by several different files in AMS-\LaTeX{}.", +%%% docstring = "The checksum field above contains a CRC-16 +%%% checksum as the first value, followed by the +%%% equivalent of the standard UNIX wc (word +%%% count) utility output of lines, words, and +%%% characters. This is produced by Robert +%%% Solovay's checksum utility.", +%%% } +%%% ==================================================================== +% \iffalse +%<*driver> +\documentclass{amsdtx} +\begin{document} +\title{The \pkg{amsgen} package} +\author{American Mathematical Society\\Michael Downes} +\date{Version \fileversion, \filedate} +\hDocInput{amsgen.dtx} +\end{document} +% +% \fi +% +% \maketitle +% +% \MakeShortVerb\| +% +% \section{Introduction} +% This is an internal package for storing common functions +% that are shared by more than one package in the \amslatex/ +% distribution. Some of these might eventually make it into the \latex/ +% kernel. +% +% \StopEventually{} +% +% Standard package info. +% Using \cs{ProvidesFile} rather than \cs{ProvidesPackage} because +% the latter, when input by, e.g, \cls{amsbook}, results in +% \texttt{LaTeX warning: You have requested document class `amsbook', +% but the document class provides `amsgen'.} +% \begin{macrocode} +\NeedsTeXFormat{LaTeX2e}% LaTeX 2.09 can't be used (nor non-LaTeX) +[1994/12/01]% LaTeX date must December 1994 or later +\ProvidesFile{amsgen.sty}[1999/11/30 v2.0] +% \end{macrocode} +% +% \section{Implementation} +% Some general macros shared by \fn{amsart.dtx}, \fn{amsmath.dtx}, +% \fn{amsfonts.dtx}, \dots +% +% \begin{macro}{\@saveprimitive} +% The \pkg{amsmath} package redefines a number of \tex/ primitives. +% In case some preceding package also decided to redefine one of +% those same primitives, we had better do some checking to make +% sure that we are able to save the primitive meaning for internal +% use. This is handled by the \cs{@saveprimitive} function. We +% follow the example of \cs{@@input} where the primitive meaning is +% stored in an internal control sequence with a |@@| prefix. +% Primitive control sequences can be distinguished by the fact that +% \cs{string} and \cs{meaning} return the same information. +% \begin{macrocode} +\providecommand{\@saveprimitive}[2]{\begingroup\escapechar`\\\relax + \edef\@tempa{\string#1}\edef\@tempb{\meaning#1}% + \ifx\@tempa\@tempb \global\let#2#1% + \else +% \end{macrocode} +% Check to see if \arg{2} was already given the desired primitive +% meaning somewhere else. +% \begin{macrocode} + \edef\@tempb{\meaning#2}% + \ifx\@tempa\@tempb + \else + \@latex@error{Unable to properly define \string#2; primitive + \noexpand#1no longer primitive}\@eha + \fi + \fi + \endgroup} +% \end{macrocode} +% \end{macro} +% +% \begin{macro}{\@xp} +% \begin{macro}{\@nx} +% Shorthands for long command names. +% \begin{macrocode} +\let\@xp=\expandafter +\let\@nx=\noexpand +% \end{macrocode} +% \end{macro} +% \end{macro} +% +% \begin{macro}{\@emptytoks} +% A token register companion for \cs{@empty}. Saves a little main mem and +% probably makes initializations such as |\toks@{}| run faster too. +% \begin{macrocode} +\newtoks\@emptytoks +% \end{macrocode} +% \end{macro} +% +% \begin{macro}{\@oparg} +% Use of \cs{@oparg} simplifies some constructions where a macro +% takes an optional argument in square brackets. We can't use +% \cn{newcommand} here because this function might be previously +% defined by the \pkg{amsmath} package in a loading sequence such as +% \begin{verbatim} +% \usepackage{amsmath,amsthm} +% \end{verbatim} +% \begin{macrocode} +\def\@oparg#1[#2]{\@ifnextchar[{#1}{#1[#2]}} +% \end{macrocode} +% \end{macro} +% +% \begin{macro}{\@ifempty} +% \begin{macro}{\@ifnotempty} +% |\@ifnotempty| and |\@ifempty| use category 11 |@| characters to +% test whether the argument is empty or not, since these are highly +% unlikely to occur in the argument. As with \cn{@oparg}, there is a +% possibility that these commands were defined previously in +% \fn{amsmath.sty}. +% \begin{macrocode} +\long\def\@ifempty#1{\@xifempty#1@@..\@nil} +\long\def\@xifempty#1#2@#3#4#5\@nil{% + \ifx#3#4\@xp\@firstoftwo\else\@xp\@secondoftwo\fi} +% \end{macrocode} +% \cs{@ifnotempty} is a shorthand that makes code read better when +% no action is needed in the empty case. At a cost of double +% argument-reading---so for often-executed code, avoiding +% \cs{@ifnotempty} might be wise. +% \begin{macrocode} +\long\def\@ifnotempty#1{\@ifempty{#1}{}} +% \end{macrocode} +% \end{macro} +% \end{macro} +% +% Some abbreviations to conserve token mem. +% \begin{macrocode} +\def\FN@{\futurelet\@let@token} +\def\DN@{\def\next@} +\def\RIfM@{\relax\ifmmode} +\def\setboxz@h{\setbox\z@\hbox} +\def\wdz@{\wd\z@} +\def\boxz@{\box\z@} +\def\relaxnext@{\let\@let@token\relax} +% \end{macrocode} +% +% \begin{macro}{\new@ifnextchar} +% This macro is a new version of \latex/'s \verb+\@ifnextchar+, +% macro that does not skip over spaces. +% \begin{macrocode} +\long\def\new@ifnextchar#1#2#3{% +% \end{macrocode} +% By including the space after the equals sign, we make it possible +% for \cs{new@ifnextchar} to do look-ahead for any token, including a +% space! +% \begin{macrocode} + \let\reserved@d= #1% + \def\reserved@a{#2}\def\reserved@b{#3}% + \futurelet\@let@token\new@ifnch +} +% +\def\new@ifnch{% + \ifx\@let@token\reserved@d \let\reserved@b\reserved@a \fi + \reserved@b +} +% \end{macrocode} +% \end{macro} +% +% \begin{macro}{\@ifstar} +% There will essentially never be a space before the \qc{\*}, so +% using \cs{@ifnextchar} is unnecessarily slow. +% \begin{macrocode} +\def\@ifstar#1#2{\new@ifnextchar *{\def\reserved@a*{#1}\reserved@a}{#2}} +% \end{macrocode} +% \end{macro} +% +% The hook \cs{every@size} was changed to \cs{every@math@size} in the +% December 1994 release of \latex/ and its calling procedures changed. +% If \cs{every@math@size} is undefined it means the user has an older +% version of \latex/ so we had better define it and patch a couple of +% functions (\cs{glb@settings} and \cs{set@fontsize}). +% \begin{macrocode} +\@ifundefined{every@math@size}{% +% \end{macrocode} +% Reuse the same token register; since it was never used except for +% the purposes that are affected below, this is OK. +% \begin{macrocode} +\let\every@math@size=\every@size +\def\glb@settings{% + \expandafter\ifx\csname S@\f@size\endcsname\relax + \calculate@math@sizes + \fi + \csname S@\f@size\endcsname + \ifmath@fonts +% \ifnum \tracingfonts>\tw@ +% \@font@info{Setting up math fonts for +% \f@size/\f@baselineskip}\fi + \begingroup + \escapechar\m@ne + \csname mv@\math@version \endcsname + \globaldefs\@ne + \let \glb@currsize \f@size + \math@fonts + \endgroup + \the\every@math@size + \else +% \ifnum \tracingfonts>\tw@ +% \@font@info{No math setup for \f@size/\f@baselineskip}% +% \fi + \fi +} +% \end{macrocode} +% Remove |\the\every@size| from \cs{size@update}. +% \begin{macrocode} +\def\set@fontsize#1#2#3{% + \@defaultunits\@tempdimb#2pt\relax\@nnil + \edef\f@size{\strip@pt\@tempdimb}% + \@defaultunits\@tempskipa#3pt\relax\@nnil + \edef\f@baselineskip{\the\@tempskipa}% + \edef\f@linespread{#1}% + \let\baselinestretch\f@linespread + \def\size@update{% + \baselineskip\f@baselineskip\relax + \baselineskip\f@linespread\baselineskip + \normalbaselineskip\baselineskip + \setbox\strutbox\hbox{% + \vrule\@height.7\baselineskip + \@depth.3\baselineskip + \@width\z@}% +%%% \the\every@size + \let\size@update\relax}% + } +}{}% end \@ifundefined test +% \end{macrocode} +% +% \begin{macro}{\ex@} +% The \cs{ex@} variable provides a small unit of space for use in +% math-mode constructions, that varies according to the current type +% size. For example, the \cn{pmb} command uses \cs{ex@} units. +% Since a macro or mu unit solution for the \meta{dimen} \cs{ex@} won't +% work without changing a lot of current code in the \pkg{amsmath} +% package, we set \cs{ex@} through the \cs{every@math@size} hook. +% The value of \cs{ex@} is scaled nonlinearly in a range of roughly +% 0.5pt to 1.5pt, by the function \cs{compute@ex@}. +% \begin{macrocode} +\newdimen\ex@ +\addto@hook\every@math@size{\compute@ex@} +% \end{macrocode} +% \end{macro} +% +% \cs{compute@ex@} computes \cs{ex@} as a nonlinear scaling from 10pt +% to current font size (\cs{f@size}). Using .97 as the multiplier makes 1 +% |ex@| $\approx$ .9pt when the current type size is 8pt and 1 |ex@| +% $\approx$ 1.1pt when the current type size is 12pt. +% +% The formula is essentially +% \begin{displaymath} +% \newcommand{\points}{\mbox{pt}} +% \newcommand{\floor}[1]{\lfloor#1\rfloor} +% 1\points \pm (1\points - (.97)^{\floor{\vert 10 - n\vert}}) +% \end{displaymath} +% where $n$ = current type size, but adjusted to differentiate +% half-point sizes as well as whole point sizes, and there is a +% cutoff for extraordinarily large values of \cs{f@size} ($>$ 20pt) +% so that the value of \cs{ex@} never exceeds 1.5pt. +% +% \begin{macrocode} +\def\compute@ex@{% + \begingroup + \dimen@-\f@size\p@ + \ifdim\dimen@<-20\p@ +% \end{macrocode} +% Never make \cs{ex@} larger than 1.5pt. +% \begin{macrocode} + \global\ex@ 1.5\p@ + \else +% \end{macrocode} +% Adjust by the reference size and multiply by 2 to allow for +% half-point sizes. +% \begin{macrocode} + \advance\dimen@10\p@ \multiply\dimen@\tw@ +% \end{macrocode} +% Save information about the current sign of \cs{dimen@}. +% \begin{macrocode} + \edef\@tempa{\ifdim\dimen@>\z@ -\fi}% +% \end{macrocode} +% Get the absolute value of \cs{dimen@}. +% \begin{macrocode} + \dimen@ \ifdim\dimen@<\z@ -\fi \dimen@ + \advance\dimen@-\@m sp % fudge factor +% \end{macrocode} +% Here we use \cs{vfuzz} merely as a convenient scratch register +% \begin{macrocode} + \vfuzz\p@ +% \end{macrocode} +% Multiply in a loop. +% \begin{macrocode} + \def\do{\ifdim\dimen@>\z@ + \vfuzz=.97\vfuzz + \advance\dimen@ -\p@ +%\message{\vfuzz: \the\vfuzz, \dimen@: \the\dimen@}% + \@xp\do \fi}% + \do + \dimen@\p@ \advance\dimen@-\vfuzz + \global\ex@\p@ + \global\advance\ex@ \@tempa\dimen@ + \fi + \endgroup +%\typeout{\string\f@size: \f@size}\showthe\ex@ +} +% \end{macrocode} +% Tests of the \cs{compute@ex@} function yield the following results: +% +% \begin{center}\begin{tabular}{rlrl} +% \cs{f@size}& \cs{ex@}& \cs{f@size}& \cs{ex@}\\ +% 10& 1.0pt& 9& 0.94089pt\\ +% 11& 1.05911pt& 8.7& 0.91266pt\\ +% 12& 1.11473pt& 8.5& 0.91266pt\\ +% 14.4& 1.23982pt& 8.4& 0.88527pt\\ +% 17.28& 1.36684pt& 8& 0.88527pt\\ +% 20.74& 1.5pt& 7& 0.83293pt\\ +% 19.5& 1.4395pt& 6& 0.78369pt\\ +% && 5& 0.73737pt\\ +% && 1& 0.57785pt +% \end{tabular}\end{center} +% +% \begin{macro}{\@addpunct} +% Use of the \cs{@addpunct} function allows ending punctuation in +% section headings and elsewhere to be intelligently omitted +% when punctuation is already present. +% \begin{macrocode} +\def\@addpunct#1{\ifnum\spacefactor>\@m \else#1\fi} +% \end{macrocode} +% \end{macro} +% +% \begin{macro}{\frenchspacing} +% Change \cn{frenchspacing} to ensure that \cs{@addpunct} will +% continue to work properly even when `french' spacing is in effect. +% \begin{macrocode} +\def\frenchspacing{\sfcode`\.1006\sfcode`\?1005\sfcode`\!1004% + \sfcode`\:1003\sfcode`\;1002\sfcode`\,1001 } +% \end{macrocode} +% \end{macro} +% +% \subsection{Miscellaneous} +% \begin{macrocode} +\def\nomath@env{\@amsmath@err{% + \string\begin{\@currenvir} allowed only in paragraph mode% +}\@ehb% "You've lost some text" +} +% \end{macrocode} +% A trade-off between main memory space and hash size; using +% \verb+\Invalid@@+ saves 14 bytes of main memory for each use of +% \verb+\Invalid@+, at the cost of one control sequence name. +% \verb+\Invalid@+ is currently used about five times and +% \verb+\Invalid@@+ is used by itself in some other instances, +% which means that it saves us more memory than \verb+\FN@+, +% \verb+\RIfM@+, and some of the other abbreviations above. +% \begin{macrocode} +\def\Invalid@@{Invalid use of \string} +% \end{macrocode} +% +% The usual \cs{endinput} to ensure that random garbage at the end of +% the file doesn't get copied by \fn{docstrip}. +% \begin{macrocode} +\endinput +% \end{macrocode} +% +% \CheckSum{337} +% \Finale diff --git a/Master/texmf-dist/source/latex/amsmath/amsldoc.cls b/Master/texmf-dist/source/latex/amsmath/amsldoc.cls new file mode 100644 index 00000000000..0e8d142cbf9 --- /dev/null +++ b/Master/texmf-dist/source/latex/amsmath/amsldoc.cls @@ -0,0 +1,451 @@ +%% +%% This is file `amsldoc.cls', +%% generated with the docstrip utility. +%% +%% The original source files were: +%% +%% amsdtx.dtx (with options: `amsldoc') +%% +%%% ==================================================================== +%%% @LaTeX-file{ +%%% filename = "amsdtx.dtx", +%%% version = "2.06", +%%% date = "2004/08/06", +%%% time = "12:18:49 EDT", +%%% checksum = "19929 1192 3506 39423", +%%% author = "Michael J. Downes, updated by David M. Jones", +%%% copyright = "Copyright 1996, 1999, 2004 +%%% American Mathematical Society, +%%% all rights reserved. Copying of this file is +%%% authorized only if either: +%%% (1) you make absolutely no changes to your copy, +%%% including name; OR +%%% (2) if you do make changes, you first rename it +%%% to some other name.", +%%% address = "American Mathematical Society, +%%% Technical Support, +%%% Publications Technical Group, +%%% 201 Charles Street, +%%% Providence, RI 02904, +%%% USA", +%%% telephone = "401-455-4080 or (in the USA and Canada) +%%% 800-321-4AMS (321-4267)", +%%% FAX = "401-331-3842", +%%% email = "tech-support@ams.org (Internet)", +%%% codetable = "ISO/ASCII", +%%% keywords = "latex, amslatex, ams-latex, user documentation", +%%% supported = "yes", +%%% abstract = "This is the source for two document classes, amsdtx +%%% and amsldoc, used to produce AMS user documentation +%%% or technical documentation.", +%%% docstring = "The checksum field above contains a CRC-16 +%%% checksum as the first value, followed by the +%%% equivalent of the standard UNIX wc (word +%%% count) utility output of lines, words, and +%%% characters. This is produced by Robert +%%% Solovay's checksum utility.", +%%% } +%%% ==================================================================== +\NeedsTeXFormat{LaTeX2e}% LaTeX 2.09 can't be used (nor non-LaTeX) +[1995/06/01]% LaTeX date must be June 1995 or later +\ProvidesClass{amsldoc}[2004/08/06 v2.06] +\DeclareOption*{\PassOptionsToClass{\CurrentOption}{book}} +\ProcessOptions +\LoadClass{book} +\IfFileExists{url.sty}{% + \RequirePackage{url}\relax + \@gobble +}{% + \@firstofone +} +{ + \DeclareRobustCommand{\url}[1]{% + \def\@tempa{#1}% + \texttt{\urlsetup $\expandafter\strip@prefix\meaning\@tempa$}% + }% + \def\urlsetup{% + \check@mathfonts \textfont\@ne\the\font \textfont\z@\the\font + \urlfix +\urlfix\=\urlfix\:\urlfix\-\urlfix\.\urlfix\,\urlfix\;% + \urlbreak\&\urlbreak\/\urlbreak\?% + }% + \def\urlbreak#1{% + \mathcode`#1="8000 + \begingroup \lccode`\~=`#1 \lowercase{\endgroup \edef~}% + {\mathchar\number`#1\penalty\hyphenpenalty}% + }% + \def\urlfix#1{% + \mathcode`#1=`#1\relax + }% +} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\providecommand{\qq}[1]{\textquotedblleft#1\/\textquotedblright} +\providecommand{\mdash}{\textemdash\penalty\exhyphenpenalty} +\providecommand{\ndash}{\textendash\penalty\exhyphenpenalty} +\let\@xp\expandafter +\def\actualchar{@} +\def\quotechar{"} +\def\levelchar{!} +\def\encapchar{|} +\def\verbatimchar{+} +\newif\ifcodeline@index +\newcommand*{\autoindex}[1]{% + \index{#1\ifcodeline@index\encapchar usage\fi}% +} +\newcommand{\ntt}{\normalfont\ttfamily} +\newcommand*{\indexcs}[1]{% + \@xp\@xp\@xp\@indexcs\@xp\@nobslash\string#1\@nil +} +\def\@indexcs#1\@nil{% + \autoindex{#1\actualchar + \string\verb\quotechar*\verbatimchar + \@xp\@bothoftwo\string\ #1\@empty + \verbatimchar + }% +} +\def\@bothoftwo#1#2{#1#2} +\def\category@index#1#2{% + {\ntt#2}% + \@category@index{#1}{#2}% +} +\def\@category@index#1#2{% + \autoindex{% + #2\actualchar\string\texttt{#2}% + \ifx\@nil#1\@nil\else\space#1\fi + }% +} +\chardef\bslchar=`\\ % p. 424, TeXbook +\newcommand{\addbslash}{\expandafter\@addbslash\string} +\def\@addbslash#1{\bslchar\@nobslash#1} +\newcommand{\nobslash}{\expandafter\@nobslash\string} +\def\@nobslash#1{\ifnum`#1=\bslchar\else#1\fi} +\def\@boxorbreak{% + \leavevmode + \ifmmode\hbox\else\ifdim\lastskip=\z@\penalty9999 \fi\fi +} +\DeclareRobustCommand{\cs}[1]{% + \@boxorbreak{% + \ntt + \addbslash#1\@empty + \@xp\@xp\@xp\@indexcs\@xp\@nobslash\string#1\@nil + }% +} +\let\cn\cs +\DeclareRobustCommand{\cls}{\category@index{class}} +\DeclareRobustCommand{\pkg}{\category@index{package}} +\DeclareRobustCommand{\opt}{\category@index{option}} +\DeclareRobustCommand{\env}{\category@index{environment}} +\DeclareRobustCommand{\fn}{\category@index{}} +\DeclareRobustCommand{\bst}{\category@index{\string\BibTeX{} style}} +\DeclareRobustCommand{\cnt}{\category@index{counter}} +\DeclareRobustCommand{\fnt}{\category@index{font}} +\def\allowtthyphens{\begingroup + \fontencoding{OT1}\fontfamily{cmtt}% + \expandafter\let\csname OT1+cmtt\endcsname\relax + \try@load@fontshape + \endgroup + \expandafter\let\csname OT1+cmtt\endcsname\@empty +} +\hfuzz2pc +\vbadness9999 \hbadness5000 +\def\AmS{{\protect\usefont{OMS}{cmsy}{m}{n}% + A\kern-.1667em\lower.5ex\hbox{M}\kern-.125emS}} +\def\latex/{{\protect\LaTeX}} +\def\amslatex/{{\protect\AmS-\protect\LaTeX}} +\def\tex/{{\protect\TeX}} +\def\amstex/{{\protect\AmS-\protect\TeX}} +\def\bibtex/{{Bib\protect\TeX}} +\def\makeindx/{MakeIndex} +\def\xypic/{XY\mbox{-}pic} +\newcommand{\Textures}{\textit{Textures}} +\def\<#1>{\textit{$\langle$#1\/$\rangle$}} +\def\@listi{% + \leftmargin\leftmargini + \topsep 3\p@ \@plus2\p@ \@minus\p@ + \parsep \p@ \@plus\p@ \itemsep\parsep +} +\let\@listI\@listi +\@listi +\def\@listii{% + \leftmargin\leftmarginii + \labelwidth\leftmarginii \advance\labelwidth-\labelsep + \topsep\p@\@plus\p@ \@minus\p@ + \parsep\z@skip \itemsep\z@skip +} +\def\@listiii{% + \leftmargin\leftmarginiii + \labelwidth\leftmarginiii \advance\labelwidth-\labelsep + \topsep\z@skip \parsep\z@skip \itemsep\z@skip +} +\newenvironment{histnote}{% + \trivlist\item[\hspace{\labelsep}\bfseries Historical Note:]% +}{% + \endtrivlist +} +\def\@starttoc#1{\begingroup + \let\autoindex\@gobble + \makeatletter + \@input{\jobname.#1}\if@filesw + \expandafter\newwrite\csname tf@#1\endcsname + \immediate\openout + \csname tf@#1\endcsname \jobname.#1\relax + \fi \global\@nobreakfalse \endgroup} +\newcommand{\gloss}[1]{} +\newcommand*{\secref}[1]{\S\ref{#1}} +\newcommand{\qc}[1]{}% check for prior definition +\edef\qc#1{\noexpand\protect\expandafter\noexpand\csname qc \endcsname + \noexpand\protect#1} +\@namedef{qc }#1#2{\begingroup\ntt + \ifx\ #2\char`\ \else\escapechar\m@ne\string#2\fi\endgroup} +\DeclareRobustCommand{\qcat}{\qc\@}% +\DeclareRobustCommand{\qcamp}{\qc\&}% +\DeclareRobustCommand{\qcbang}{\qc\!}% +\DeclareRobustCommand{\arg}[1]{{\ntt\##1}} +\newcommand{\openbox}{\leavevmode + \hbox to.77778em{% + \hfil\vrule + \vbox to.675em{\hrule width.6em\vfil\hrule}% + \vrule\hfil}} +\newcommand{\qedsymbol}{\openbox} +\def\mail{\texttt} +\def\*#1{\def\@tempa{#1}\def\@tempb{*}% + \ifx\@tempa\@tempb \expandafter\index + \else #1\index{#1}\fi} +\def\ncn#1{{\let\index\@gobble\cn{#1}}} + +\DeclareRobustCommand{\cnbang}{% + \ncn{\!}\index{"!@{\ntt\bslchar\qcbang}}} +\DeclareRobustCommand{\cnat}{% + \ncn{\!}\index{"@@{\ntt\bslchar\qcat}}} +\def\5{\penalty500 } +\newenvironment{error}{% + \begingroup\catcode`\\=12 \expandafter\endgroup\errora +}{% + \endtrivlist +} +\newcommand{\errora}[1]{% + \trivlist + \item[\hskip\labelsep\errorbullet\enspace + \ntt\frenchspacing\def\@tempa{#1}% + \expandafter\strip@prefix\meaning\@tempa]\leavevmode\par +} +\newcommand{\errorbullet}{\rule[-.5pt]{2.5pt}{7.5pt}% + \rule[-.5pt]{5pt}{2.5pt}\kern-2.5pt% + \rule[4.5pt]{2.5pt}{2.5pt}} +\newcommand{\errexa}{\par\noindent\textit{Example}:\ } +\newcommand{\errexpl}{\par\noindent\textit{Explanation}:\ } +\renewcommand\frontmatter{\clearpage + \@mainmatterfalse\pagenumbering{roman}} +\renewcommand\mainmatter{\clearpage + \@mainmattertrue\pagenumbering{arabic}} +\renewcommand\backmatter{\clearpage \@mainmatterfalse} +\renewcommand\part{\clearpage + \thispagestyle{plain}% + \if@twocolumn + \onecolumn + \@tempswatrue + \else + \@tempswafalse + \fi + \hbox{}\vfil + \secdef\@part\@spart} +\def\@part[#1]#2{% + \ifnum \c@secnumdepth >-2\relax + \refstepcounter{part}% + \addcontentsline{toc}{part}{\thepart\hspace{1em}#1}% + \else + \addcontentsline{toc}{part}{#1}% + \fi + \markboth{}{}% + {\centering + \interlinepenalty \@M + \reset@font + \ifnum \c@secnumdepth >-2\relax + \Large\bfseries \partname~\thepart + \par + \vskip 20\p@ + \fi + \Large \bfseries #2\par}% + \@endpart} +\def\@spart#1{% + {\centering + \interlinepenalty \@M + \reset@font + \Large \bfseries #1\par}% + \@endpart} +\def\@endpart{\vfil\newpage + \if@twoside + \hbox{}% + \thispagestyle{empty}% + \newpage + \fi + \if@tempswa + \twocolumn + \fi} +\renewcommand\chapter{\par \@afterindentfalse + \secdef\@chapter\@schapter} +\def\@chapter[#1]#2{\ifnum \c@secnumdepth >\m@ne + \if@mainmatter + \refstepcounter{chapter}% + \typeout{\@chapapp\space\thechapter.}% + \addcontentsline{toc}{chapter}% + {\protect\numberline{\thechapter}#1}% + \else + \addcontentsline{toc}{chapter}{#1}\fi + \else + \addcontentsline{toc}{chapter}{#1} + \fi + \chaptermark{#1}% + \addtocontents{lof}{\protect\addvspace{10\p@}}% + \addtocontents{lot}{\protect\addvspace{10\p@}}% + \if@twocolumn + \@topnewpage[\@makechapterhead{#2}]% + \else + \@makechapterhead{#2}% + \@afterheading + \fi} +\def\@makechapterhead#1{% + \vspace{1.5\baselineskip}% + {\parindent \z@ \raggedright \reset@font + \ifnum \c@secnumdepth >\m@ne + \large\bfseries \@chapapp\space\thechapter + \par\nobreak + \vskip.5\baselineskip\relax + \fi + #1\par\nobreak + \vskip\baselineskip + }} +\def\@schapter#1{\if@twocolumn + \@topnewpage[\@makeschapterhead{#1}]% + \else + \@makeschapterhead{#1}% + \@afterheading + \fi} +\def\@makeschapterhead#1{% + \vspace*{1.5\baselineskip}% + {\parindent \z@ \raggedright + \reset@font + \large \bfseries #1\par\nobreak + \vskip\baselineskip + }} +\def\@removefromreset#1#2{\let\@tempb\@elt + \expandafter\let\expandafter\@tempa\csname c@#1\endcsname + \def\@elt##1{\expandafter\ifx\csname c@##1\endcsname\@tempa\else + \noexpand\@elt{##1}\fi}% + \expandafter\edef\csname cl@#2\endcsname{\csname cl@#2\endcsname}% + \let\@elt\@tempb} +\@removefromreset{footnote}{chapter} +\def\ps@headings{% + \let\@oddfoot\@empty\let\@evenfoot\@empty + \def\@evenhead{\thepage\hfil{\footnotesize\leftmark{}{}}}% + \def\@oddhead{{\footnotesize\rightmark{}{}}\hfil\thepage}% + \let\@mkboth\markboth + \def\chaptermark##1{% + \markboth {\uppercase{\ifnum \c@secnumdepth >\m@ne + \if@mainmatter + \@chapapp\ \thechapter. \ \fi + \fi + ##1}}{}}% + \def\sectionmark##1{% + \markright {\uppercase{\ifnum \c@secnumdepth >\z@ + \thesection. \ \fi + ##1}}}} +\renewcommand\section{\@startsection {section}{1}{\z@}% + {-.6\baselineskip \@plus -3\p@}% + {.4\baselineskip} + {\reset@font\normalsize\bfseries}} +\renewcommand\subsection{\@startsection{subsection}{2}{\z@}% + {-.3\baselineskip\@plus -2\p@}% + {.2\baselineskip}% + {\reset@font\normalsize\bfseries}} +\renewcommand\subsubsection{\@startsection{subsubsection}{3}{\z@}% + {-.2\baselineskip\@plus -2\p@}% + {.2\baselineskip}% + {\reset@font\normalsize\bfseries}} +\renewenvironment{theindex}{% + \if@twocolumn \@restonecolfalse \else \@restonecoltrue \fi + \columnseprule \z@ \columnsep 35\p@ + \let\autoindex\@gobble + \twocolumn[\@makeschapterhead{\indexname}]% + \addcontentsline{toc}{chapter}{\indexname}% + \@mkboth{\uppercase{\indexname}}{\uppercase{\indexname}}% + \thispagestyle{plain}\parindent\z@ + \parskip\z@ \@plus .3\p@\relax + \let\item\@idxitem +}{% + \if@restonecol\onecolumn\else\clearpage\fi +} +\long\def\@makecaption#1#2{% + \addvspace\abovecaptionskip + \begingroup + \countdef\@parcycles=8 % local count register + \@parcycles\z@ + \@setpar{\advance\@parcycles\@ne \ifnum\@parcycles>999 + \@@par\@parcycles\z@\fi + \ifhmode \unskip\hskip\parfillskip\penalty-\@M\fi}% + \@hangfrom{\textbf{#1.} }\vadjust{\penalty\m@ne}#2% + \endgroup + \ifhmode\unpenalty\fi\par + \ifnum\lastpenalty=\m@ne % only one line in the caption + \unpenalty \setbox\@tempboxa\lastbox + \nointerlineskip + \hbox to\hsize{\hfill\unhbox\@tempboxa\unskip\hfill}% + \fi + \nobreak\vskip\belowcaptionskip +} +\renewenvironment{table}{% + \belowcaptionskip\abovecaptionskip \abovecaptionskip\z@skip + \@float{table}% +}{% + \end@float +} +\renewenvironment{table*}{% + \belowcaptionskip\abovecaptionskip \abovecaptionskip\z@skip + \@dblfloat{table}% +}{% + \end@dblfloat +} +\setcounter{topnumber}{4}\setcounter{bottomnumber}{4} +\setcounter{totalnumber}{4}\setcounter{dbltopnumber}{4} +\renewcommand{\topfraction}{.97}\renewcommand{\bottomfraction}{.97} +\renewcommand{\textfraction}{.03}\renewcommand{\floatpagefraction}{.9} +\renewcommand{\dbltopfraction}{.97} +\renewcommand{\dblfloatpagefraction}{.9} +\setlength{\floatsep}{8pt plus6pt} +\setlength{\textfloatsep}{10pt plus8pt} +\setlength{\intextsep}{8pt plus6pt} +\setlength{\dblfloatsep}{8pt plus6pt} +\setlength{\dbltextfloatsep}{10pt plus8pt} +\setlength{\@fptop}{0pt}\setlength{\@fpsep}{8pt}% +\setlength{\@fpbot}{0pt plus 1fil} +\setlength{\@dblfptop}{0pt}\setlength{\@dblfpsep}{8pt}% +\setlength{\@dblfpbot}{0pt plus 1fil} + +\pagestyle{headings} +\AtBeginDocument{\catcode`\|=\active } +\def\activevert{\verb|} +\expandafter\gdef\expandafter\dospecials\expandafter + {\dospecials \do\|}% +\expandafter\gdef\expandafter\@sanitize\expandafter + {\@sanitize \@makeother\|} +\begingroup\catcode`\|=\active \gdef|{\protect\activevert{}}\endgroup +\newcommand{\arrayargpatch}{% + \let\@oldarray\@array + \edef\@array[##1]##2{\catcode\number`\|=\number\catcode`\| + \catcode\number`\@=\number\catcode`\@ \relax + \let\noexpand\@array\noexpand\@oldarray + \noexpand\@array[##1]{##2}}% + \catcode`\|=12 \catcode`\@=12 \relax +} +\newenvironment{ctab}{% + \par\topsep\medskipamount + \trivlist\centering + \item[]% + \arrayargpatch + \begin{tabular}% +}{% + \end{tabular}% + \endtrivlist +} +\endinput +%% +%% End of file `amsldoc.cls'. diff --git a/Master/texmf-dist/source/latex/amsmath/amsldoc.tex b/Master/texmf-dist/source/latex/amsmath/amsldoc.tex new file mode 100644 index 00000000000..abb532cccb8 --- /dev/null +++ b/Master/texmf-dist/source/latex/amsmath/amsldoc.tex @@ -0,0 +1,2620 @@ +%%% ==================================================================== +%%% @LaTeX-file{ +%%% filename = "amsldoc.tex", +%%% version = "2.09", +%%% date = "2004/04/06", +%%% time = "15:13:33 EDT", +%%% checksum = "39446 2620 11111 93831", +%%% author = "American Mathematical Society", +%%% address = "American Mathematical Society, +%%% Technical Support, +%%% Electronic Products and Services, +%%% P. O. Box 6248, +%%% Providence, RI 02940, +%%% USA", +%%% telephone = "401-455-4080 or (in the USA and Canada) +%%% 800-321-4AMS (321-4267)", +%%% FAX = "401-331-3842", +%%% email = "tech-support@ams.org (Internet)", +%%% copyright = "Copyright 1999 American Mathematical Society, +%%% all rights reserved. Copying of this file is +%%% authorized only if either: +%%% (1) you make absolutely no changes to your copy, +%%% including name; OR +%%% (2) if you do make changes, you first rename it +%%% to some other name.", +%%% supported = "yes", +%%% keywords = "latex, amsmath", +%%% abstract = "This file is the source file for the user's +%%% guide of the \LaTeX{} package amsmath .", +%%% docstring = "The checksum field above contains a CRC-16 +%%% checksum as the first value, followed by the +%%% equivalent of the standard UNIX wc (word +%%% count) utility output of lines, words, and +%%% characters. This is produced by Robert +%%% Solovay's checksum utility.", +%%% } +%%% ==================================================================== +\documentclass[leqno,titlepage,openany]{amsldoc}[1999/12/13] + +\ifx\UndEfiNed\url + \ClassError{amsldoc}{% + This version of amsldoc.tex must be processed\MessageBreak + with a newer version of amsldoc.cls (2.02 or later)}{} +\fi + +\title{User's Guide for the \pkg{amsmath} Package (Version~2.0)} +\author{American Mathematical Society} +\date{1999-12-13 (revised 2002-02-25)} + +% Use the amsmath package and amscd package in order to print +% examples. +\usepackage{amsmath} +\usepackage{amscd} + +\makeindex % generate index data +\providecommand{\see}[2]{\textit{see} #1} + +% The amsldoc class includes a number of features useful for +% documentation about TeX, including: +% +% ---Commands \tex/, \amstex/, \latex/, ... for uniform treatment +% of the various logos and easy handling of following spaces. +% +% ---Commands for printing various common elements: \cn for command +% names, \fn for file names (including font-file names), \env for +% environments, \pkg and \cls for packages and classes, etc. + +% Many of the command names used here are rather long and will +% contribute to poor linebreaking if we follow the \latex/ practice +% of not hyphenating anything set in tt font; instead we selectively +% allow some hyphenation. +\allowtthyphens % defined in amsldoc.cls + +\hyphenation{ac-cent-ed-sym-bol add-to-counter add-to-length align-at + aligned-at allow-dis-play-breaks ams-art ams-cd ams-la-tex amsl-doc + ams-symb ams-tex ams-text ams-xtra bmatrix bold-sym-bol cen-ter-tags + eqn-ar-ray idots-int int-lim-its latex med-space neg-med-space + neg-thick-space neg-thin-space no-int-lim-its no-name-lim-its + over-left-arrow over-left-right-arrow over-right-arrow pmatrix + qed-sym-bol set-length side-set small-er tbinom the-equa-tion + thick-space thin-space un-der-left-arrow un-der-left-right-arrow + un-der-right-arrow use-pack-age var-inj-lim var-proj-lim vmatrix + xalign-at xx-align-at} + +% Prepare for illustrating the \vec example +\newcommand{\vect}[1]{\mathbf{#1}} + +\newcommand{\booktitle}[1]{\textit{#1}} +\newcommand{\journalname}[1]{\textit{#1}} +\newcommand{\seriesname}[1]{\textit{#1}} + +% Command to insert and index a particular phrase. Doesn't work for +% certain kinds of special characters in the argument. +\newcommand{\ii}[1]{#1\index{#1}} + +\newcommand{\vstrut}[1]{\vrule width0pt height#1\relax} + +% An environment for presenting comprehensive address information: +\newenvironment{infoaddress}{% + \par\topsep\medskipamount + \trivlist\centering + \item[]% + \begin{minipage}{.7\columnwidth}% + \raggedright +}{% + \end{minipage}% + \endtrivlist +} + +\newenvironment{eqxample}{% + \par\addvspace\medskipamount + \noindent\begin{minipage}{.5\columnwidth}% + \def\producing{\end{minipage}\begin{minipage}{.5\columnwidth}% + \hbox\bgroup\kern-.2pt\vrule width.2pt% + \vbox\bgroup\parindent0pt\relax +% The 3pt is to cancel the -\lineskip from \displ@y + \abovedisplayskip3pt \abovedisplayshortskip\abovedisplayskip + \belowdisplayskip0pt \belowdisplayshortskip\belowdisplayskip + \noindent} +}{% + \par +% Ensure that a lonely \[\] structure doesn't take up width less than +% \hsize. + \hrule height0pt width\hsize + \egroup\vrule width.2pt\kern-.2pt\egroup + \end{minipage}% + \par\addvspace\medskipamount +} + +% The chapters are so short, perhaps we shouldn't call them by the +% name `Chapter'. We make \chaptername read an argument in order to +% remove a following \space or "{} " (both possibilities are present +% in book.cls). + +\renewcommand{\chaptername}[1]{} +\newcommand{\chapnum}[1]{\mdash #1\mdash } +\makeatletter +\def\@makechapterhead#1{% + \vspace{1.5\baselineskip}% + {\parindent \z@ \raggedright \reset@font + \ifnum \c@secnumdepth >\m@ne + \large\bfseries \chapnum{\thechapter}% + \par\nobreak + \vskip.5\baselineskip\relax + \fi + #1\par\nobreak + \vskip\baselineskip + }} +\makeatother + +% A command for ragged-right parbox in a tabular. +\newcommand{\rp}{\let\PBS\\\raggedright\let\\\PBS} + +% Non-indexed file name +\newcommand{\nfn}[1]{\texttt{#1}} + +% For the examples in the math spacing table. +%%\newcommand{\lspx}{\mbox{\rule{5pt}{.6pt}\rule{.6pt}{6pt}}} +%%\newcommand{\rspx}{\mbox{\rule[-1pt]{.6pt}{7pt}% +%% \rule[-1pt]{5pt}{.6pt}}} +\newcommand{\lspx}{\mathord{\Rightarrow\mkern-1mu}} +\newcommand{\rspx}{\mathord{\mkern-1mu\Leftarrow}} +\newcommand{\spx}[1]{$\lspx #1\rspx$} + +% For a list of characters representing document input. +\newcommand{\clist}[1]{% + \mbox{\ntt\spaceskip.2em plus.1em \xspaceskip\spaceskip#1}} + +% Fix weird \latex/ definition of rightmark. +\makeatletter +\def\rightmark{\expandafter\@rightmark\botmark{}{}} +% Also turn off section marks. +\let\sectionmark\@gobble +\renewcommand{\chaptermark}[1]{% + \uppercase{\markboth{\rhcn#1}{\rhcn#1}}} +\newcommand{\rhcn}{\thechapter. } +\makeatother + +% Include down to \section but not \subsection, in toc: +\setcounter{tocdepth}{1} + +\DeclareMathOperator{\ix}{ix} +\DeclareMathOperator{\nul}{nul} +\DeclareMathOperator{\End}{End} +\DeclareMathOperator{\xxx}{xxx} + +\begin{document} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\frontmatter + +\maketitle +\pagestyle{headings} +\tableofcontents +\cleardoublepage % for better page number placement + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\mainmatter +\chapter{Introduction} + +The \pkg{amsmath} package is a \LaTeX{} package that provides +miscellaneous enhancements for improving the information structure and +printed output of documents that contain mathematical formulas. Readers +unfamiliar with \LaTeX{} should refer to \cite{lamport}. If you have an +up-to-date version of \LaTeX{}, the \pkg{amsmath} package is normally +provided along with it. Upgrading when a newer version of the +\pkg{amsmath} package is released can be done via +\url{http://www.ams.org/tex/amsmath.html} or +\url{ftp://ftp.ams.org/pub/tex/}. + +This documentation describes the features of the \pkg{amsmath} package +and discusses how they are intended to be used. It also covers some +ancillary packages: +\begin{ctab}{ll} +\pkg{amsbsy}& \pkg{amstext}\\ +\pkg{amscd}& \pkg{amsxtra}\\ +\pkg{amsopn} +\end{ctab} +These all have something to do with the contents of math formulas. For +information on extra math symbols and math fonts, see \cite{amsfonts} +and \url{http://www.ams.org/tex/amsfonts.html}. For documentation of the +\pkg{amsthm} package or AMS document classes (\cls{amsart}, +\cls{amsbook}, etc.\@) see \cite{amsthdoc} or \cite{instr-l} and +\url{http://www.ams.org/tex/author-info.html}. + +If you are a long-time \latex/ user and have lots of mathematics in what +you write, then you may recognize solutions for some familiar problems +in this list of \pkg{amsmath} features: +\begin{itemize} + +\item A convenient way to define new `operator name' commands analogous +to \cn{sin} and \cn{lim}, including proper side spacing and automatic +selection of the correct font style and size (even when used in +sub- or superscripts). + +\item Multiple substitutes for the \env{eqnarray} environment to make +various kinds of equation arrangements easier to write. + +\item Equation numbers automatically adjust up or down to avoid +overprinting on the equation contents (unlike \env{eqnarray}). + +\item Spacing around equals signs matches the normal spacing in the +\env{equation} environment (unlike \env{eqnarray}). + +\item A way to produce multiline subscripts as are often used with +summation or product symbols. + +\item An easy way to substitute a variant equation number for a given +equation instead of the automatically supplied number. + +\item An easy way to produce subordinate equation numbers of the form +(1.3a) (1.3b) (1.3c) for selected groups of equations. + +\end{itemize} + +The \pkg{amsmath} package is distributed together with some small +auxiliary packages: +\begin{description} +\item[\pkg{amsmath}] Primary package, provides various features for + displayed equations and other mathematical constructs. + +\item[\pkg{amstext}] Provides a \cn{text} command for + typesetting a fragment of text inside a display. + +\item[\pkg{amsopn}] Provides \cn{DeclareMathOperator} for defining new + `operator names' like \cn{sin} and \cn{lim}. + +\item[\pkg{amsbsy}] For backward compatibility this package continues +to exist but use of the newer \pkg{bm} package that comes with \LaTeX{} +is recommended instead. + +\item[\pkg{amscd}] Provides a \env{CD} environment for simple + commutative diagrams (no support for diagonal arrows). + +\item[\pkg{amsxtra}] Provides certain odds and ends such as + \cn{fracwithdelims} and \cn{accentedsymbol}, for compatibility with + documents created using version 1.1. + +\end{description} + +The \pkg{amsmath} package incorporates \pkg{amstext}, \pkg{amsopn}, and +\pkg{amsbsy}. The features of \pkg{amscd} and \pkg{amsxtra}, however, +are available only by invoking those packages separately. + +\chapter{Options for the \pkg{amsmath} package}\label{options} + +The \pkg{amsmath} package has the following options: +\begin{description} + +\item[\opt{centertags}] (default) For a split equation, place equation +numbers\index{equation numbers!vertical placement} vertically centered +on the total height of the equation. + +\item[\opt{tbtags}] `Top-or-bottom tags': For a split equation, place +equation numbers\index{equation numbers!vertical placement} level with +the last (resp.\@ first) line, if numbers are on the right (resp.\@ +left). + +\item[\opt{sumlimits}] (default) Place the subscripts and +superscripts\index{subscripts and superscripts!placement}\relax +\index{limits|see{subscripts and superscripts}} of summation symbols +above and below, in displayed equations. This option also affects other +symbols of the same type\mdash $\prod$, $\coprod$, $\bigotimes$, +$\bigoplus$, and so forth\mdash but excluding integrals (see below). + +\item[\opt{nosumlimits}] Always place the subscripts and superscripts of +summation-type symbols to the side, even in displayed equations. + +\item[\opt{intlimits}] Like \opt{sumlimits}, but for +integral\index{integrals!placement of limits} symbols. + +\item[\opt{nointlimits}] (default) Opposite of \opt{intlimits}. + +\item[\opt{namelimits}] (default) Like \opt{sumlimits}, but for certain +`operator names' such as $\det$, $\inf$, $\lim$, $\max$, $\min$, that +traditionally have subscripts \index{subscripts and +superscripts!placement} placed underneath when they occur in a displayed +equation. + +\item[\opt{nonamelimits}] Opposite of \opt{namelimits}. + +\end{description} + +To use one of these package options, put the option name in the optional +argument of the \cn{usepackage} command\mdash e.g., +\verb"\usepackage[intlimits]{amsmath}". + +The \pkg{amsmath} package also recognizes the following options which +are normally selected (implicitly or explicitly) through the +\cn{documentclass} command, and thus need not be repeated in the option +list of the \cn{usepackage}|{amsmath}| statement. +\begin{description} + +\item[\opt{leqno}] Place equation numbers on the left.\index{equation +numbers!left or right placement} + +\item[\opt{reqno}] Place equation numbers on the right. + +\item[\opt{fleqn}] Position equations at a fixed indent from the left +margin rather than centered in the text column.\index{displayed +equations!centering} + +\end{description} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\chapter{Displayed equations} + +\section{Introduction} +The \pkg{amsmath} package provides a number of additional displayed +equation structures\index{displayed + equations}\index{equations|see{displayed equations}} beyond the ones +provided in basic \latex/. The augmented set includes: +\begin{verbatim} + equation equation* align align* + gather gather* flalign flalign* + multline multline* alignat alignat* + split +\end{verbatim} +(Although the standard \env{eqnarray} environment remains available, +it is better to use \env{align} or \env{equation}+\env{split} instead.) + +Except for \env{split}, each environment has both starred and unstarred +forms, where the unstarred forms have automatic numbering using +\latex/'s \env{equation} counter. You can suppress the number on any +particular line by putting \cn{notag} before the \cn{\\}; you can also +override\index{equation numbers!overriding} it with a tag of your own +using \cn{tag}|{|\