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-%%% ====================================================================
-%%% @LaTeX-file{
-%%% filename = "amsopn.dtx",
-%%% version = "2.01",
-%%% date = "1999/12/14",
-%%% time = "17:30:59 EST",
-%%% checksum = "46904 254 1037 9431",
-%%% 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",
-%%% email = "tech-support@ams.org (Internet)",
-%%% codetable = "ISO/ASCII",
-%%% keywords = "operator name, amsopn, DeclareMathOperator",
-%%% supported = "yes",
-%%% abstract = "This is a \LaTeX{} package that provides a
-%%% DeclareMathOperator command for defining named
-%%% operators like sin and lim.",
-%%% 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{amsopn} package}
-\author{Michael Downes}
-\date{Version \fileversion, \filedate}
-\hDocInput{amsopn.dtx}
-\end{document}
-%</driver>
-%\fi
-%
-% \maketitle
-%
-% \MakeShortVerb\|
-%
-% \section{Introduction}
-%
-% The \pkg{amsopn} package provides a command
-% \cn{DeclareMathOperator} for defining new `math operator names'
-% similar to the standard function names \cn{sin}, \cn{lim},
-% \cn{max}, etc.
-%
-% \StopEventually{}
-%
-% Standard file identification.
-% \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{amsopn}[1999/12/14 v2.01 operator names]
-% \end{macrocode}
-%
-% What \cs{nolimits@} does is keep a \cn{limits} typed by the user
-% from having any effect. This is used for operatornames whose
-% standard usage is never to have limits.
-% \begin{macrocode}
-\def\nolimits@{\@ifnextchar\limits{\nolimits\@gobble}{\nolimits}}
-% \end{macrocode}
-%
-% In operator names, it is sometimes desired to have text-mode
-% punctuation characters such as |*-/:'|.
-% Because the body of an
-% operator name is set in math mode, these few punctuation
-% characters will not come out right (wrong symbol/and or wrong
-% spacing). The purpose of \cs{newmcodes@} is to make them act like
-% their normal text versions.
-%
-% Where practical, we use decimal numbers to cut down main mem
-% usage (\qc{\"} not needed).
-% \begin{macrocode}
-\begingroup \catcode`\"=12
-\gdef\newmcodes@{\mathcode`\'39\mathcode`\*42\mathcode`\."613A%
-% \end{macrocode}
-% Define \cs{std@minus} for \cs{relbar} use; otherwise there are
-% problems with arrows constructed with relbar.
-% \begin{macrocode}
- \ifnum\mathcode`\-=45 \else
- \mathchardef\std@minus\mathcode`\-\relax
- \fi
- \mathcode`\-45\mathcode`\/47\mathcode`\:"603A\relax}
-\endgroup
-% \end{macrocode}
-%
-% The command \cs{operatorname} prints its argument as a `math
-% operator' like \cs{sin} or \cs{det}, with proper font and spacing.
-% \begin{macrocode}
-\DeclareRobustCommand{\operatorname}{%
- \@ifstar{\qopname\newmcodes@ m}%
- {\qopname\newmcodes@ o}}%
-% \end{macrocode}
-% In the interior of the \cs{mathop} we need a null object (we choose
-% a zero kern for minimum waste of main mem) in order to guard
-% against the case where \arg{3} is a single letter; \tex/ will seize
-% it and center it on the math axis if there is nothing else inside
-% the \cs{mathop} atom.
-% \begin{macrocode}
-\DeclareRobustCommand{\qopname}[3]{%
- \mathop{#1\kern\z@\operator@font#3}%
- \csname n#2limits@\endcsname}
-% \end{macrocode}
-%
-% \begin{macro}{\DeclareMathOperator}
-% The command \cn{DeclareMathOperator} defines the first argument to
-% be an operator name whose text is the second argument. The star
-% form means that the operator name should take limits (like \cn{max}
-% or \cn{lim}).
-% \begin{macrocode}
-\newcommand{\DeclareMathOperator}{%
- \@ifstar{\@declmathop m}{\@declmathop o}}
-% \end{macrocode}
-% \end{macro}
-%
-% In the basic set of operator names (below) we did not use
-% \cn{DeclareRobustCommand} because of the hash table cost. But we
-% use it here to minimize the chances of trouble, since we are
-% producing a user-defined command.
-% \begin{macrocode}
-\long\def\@declmathop#1#2#3{%
- \@ifdefinable{#2}{%
- \DeclareRobustCommand{#2}{\qopname\newmcodes@#1{#3}}}}
-%
-\@onlypreamble\DeclareMathOperator
-\@onlypreamble\@declmathop
-% \end{macrocode}
-%
-% \begin{macrocode}
-\def\arccos{\qopname\relax o{arccos}}
-\def\arcsin{\qopname\relax o{arcsin}}
-\def\arctan{\qopname\relax o{arctan}}
-\def\arg{\qopname\relax o{arg}}
-\def\cos{\qopname\relax o{cos}}
-\def\cosh{\qopname\relax o{cosh}}
-\def\cot{\qopname\relax o{cot}}
-\def\coth{\qopname\relax o{coth}}
-\def\csc{\qopname\relax o{csc}}
-\def\deg{\qopname\relax o{deg}}
-\def\det{\qopname\relax m{det}}
-\def\dim{\qopname\relax o{dim}}
-\def\exp{\qopname\relax o{exp}}
-\def\gcd{\qopname\relax m{gcd}}
-\def\hom{\qopname\relax o{hom}}
-\def\inf{\qopname\relax m{inf}}
-\def\injlim{\qopname\relax m{inj\,lim}}
-\def\ker{\qopname\relax o{ker}}
-\def\lg{\qopname\relax o{lg}}
-\def\lim{\qopname\relax m{lim}}
-\def\liminf{\qopname\relax m{lim\,inf}}
-\def\limsup{\qopname\relax m{lim\,sup}}
-\def\ln{\qopname\relax o{ln}}
-\def\log{\qopname\relax o{log}}
-\def\max{\qopname\relax m{max}}
-\def\min{\qopname\relax m{min}}
-\def\Pr{\qopname\relax m{Pr}}
-\def\projlim{\qopname\relax m{proj\,lim}}
-\def\sec{\qopname\relax o{sec}}
-\def\sin{\qopname\relax o{sin}}
-\def\sinh{\qopname\relax o{sinh}}
-\def\sup{\qopname\relax m{sup}}
-\def\tan{\qopname\relax o{tan}}
-\def\tanh{\qopname\relax o{tanh}}
-% \end{macrocode}
-%
-% \begin{macro}{\operator@font}
-% \begin{macro}{\operatorfont}
-% This command is provided to allow the document styles to decide in
-% which way math operators like `max' or `log' are typeset. The
-% default is to set them in \meta{math group} zero of the current
-% math version. The original name was \cs{operator@font}, retained
-% for compatibility; the second name was added to make it
-% more accessible so that users can call this font for use in special
-% constructs that are not ordinary operator names but conceptually
-% related.
-% \begin{macrocode}
-\def\operator@font{\mathgroup\symoperators}
-\def\operatorfont{\operator@font}
-% \end{macrocode}
-% \end{macro}
-% \end{macro}
-%
-% For backwards compatibility we keep this old command name for the
-% time being:
-% \begin{macrocode}
-\def\operatornamewithlimits{\operatorname*}
-% \end{macrocode}
-%
-% These macros use \cs{mathpalette}s so that they will change size
-% in script and scriptscript styles, though it's hard to imagine they
-% will ever be used there (the arrows, particularly, look bad in
-% subscript sizes). Notice that the use of \cs{ex@} means that the
-% vertical spacing may not be optimal in script and scriptscript
-% sizes. Unfortunately \tex/ provides no easy way to do math mode
-% vertical spacing that varies with current math style like mu units.
-% \begin{macrocode}
-\def\varlim@#1#2{%
- \vtop{\m@th\ialign{##\cr
- \hfil$#1\operator@font lim$\hfil\cr
- \noalign{\nointerlineskip\kern1.5\ex@}#2\cr
- \noalign{\nointerlineskip\kern-\ex@}\cr}}%
-}
-\def\varinjlim{%
- \mathop{\mathpalette\varlim@{\rightarrowfill@\textstyle}}\nmlimits@
-}
-\def\varprojlim{%
- \mathop{\mathpalette\varlim@{\leftarrowfill@\textstyle}}\nmlimits@
-}
-\def\varliminf{\mathop{\mathpalette\varliminf@{}}\nmlimits@}
-\def\varliminf@#1{\@@underline{\vrule\@depth.2\ex@\@width\z@
- \hbox{$#1\m@th\operator@font lim$}}}
-\def\varlimsup{\mathop{\mathpalette\varlimsup@{}}\nmlimits@}
-\def\varlimsup@#1{\@@overline{\hbox{$#1\m@th\operator@font lim$}}}
-% \end{macrocode}
-%
-% \begin{macrocode}
-\let\nmlimits@\displaylimits
-\DeclareOption{namelimits}{\let\nmlimits@\displaylimits}
-\DeclareOption{nonamelimits}{\let\nmlimits@\nolimits}
-\ProcessOptions\relax
-% \end{macrocode}
-%
-% If we don't load the \pkg{amsgen} package then the use of \cs{ex@}
-% in \cs{varlim@} will lead to trouble.
-% \begin{macrocode}
-\RequirePackage{amsgen}\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}
-%
-% \changes{v1.2a}{1995/02/20}{Fixed operatorname
-% (shouldn't have same limits behavior as operatorname*)}
-% \CheckSum{300}
-% \Finale