%% 
%% This is file `amsfonts.sty', generated 
%% on <1993/8/13> with the docstrip utility (2.1e).
%% 
%% The original source files were:
%% 
%% amsfonts.doc 
%% 
%% IMPORTANT NOTICE 
%% ---------------- 
%% 
%% This file is part of AMS-LaTeX, as modified by Frank Mittelbach to 
%% work with NFSS2 (New Font Selection Scheme Version 2). This file is 
%% distributed together with NFSS2 until the AMS will change their 
%% distribution to support NFSS2. You are not allowed to distribute this 
%% file separately. 
%% 
%%@texfile{%
%% filename="amsfonts.sty",
%% version="1.1a",
%% date="3-SEP-1991",
%% filetype="AMS-LaTeX: option",
%% copyright="Copyright (C) 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.",
%% author="American Mathematical Society",
%% address="American Mathematical Society,
%%   Technical Support Group,
%%   P. O. Box 6248,
%%   Providence, RI 02940,
%%   USA",
%% telephone="401-455-4080 or (in the USA) 800-321-4AMS",
%% email="Internet: Tech-Support@Math.AMS.com",
%% checksumtype="line count",
%% checksum="809",
%% codetable="ISO/ASCII",
%% keywords="latex, amslatex, ams-latex, amsfonts, msam, msbm, eufm,
%%   blackboard bold",
%% abstract="This file is part of the AMS-\LaTeX{} package, ver. 1.1.
%%   It is a \LaTeX{} option that provides a `newsymbol' command for
%%   defining math symbols from the two math symbol fonts in the
%%   AMSFonts (version 2.0+) font package. See the AMSFonts user's guide
%%   for more information. It also defines a command for producing
%%   `blackboard bold' letters (uppercase only)."
%%}
\expandafter\ifx\csname ds@amsfonts\endcsname\relax
\global\let\ds@amsfonts\@empty
\else\message{---already loaded}\endinput\fi
\def\filename{amsfonts.sty}
\def\fileversion{2.0a} \def\filedate{6-Feb-1993}
\immediate\write16{%
AMS-LaTeX option `\filename' (\fileversion, \filedate)}
%%% end of file header
\def\RIfM@{\relax\protect\ifmmode}
\def\boxz@{\box\z@}
\def\setboxz@h{\setbox\z@\hbox}
\def\wdz@{\wd\z@}
\def\noaccents@{\def\accentclass@{0}}
\def\Invalid@@{Invalid use of \string}
\def\nonmatherr@#1{\err@
    {\noexpand#1allowed only in math mode}\@ehd}
\@ifundefined{err@}{\def\err@{\@latexerr}}{}
\DeclareSymbolFont{AMSa}{U}{msa}{m}{n}
\DeclareSymbolFont{AMSb}{U}{msb}{m}{n}
\begingroup
\catcode`\"=12
\DeclareMathDelimiter\ulcorner{\mathopen} {AMSa}{"70}{AMSa}{"70}
\DeclareMathDelimiter\urcorner{\mathclose}{AMSa}{"71}{AMSa}{"71}
\DeclareMathDelimiter\llcorner{\mathopen} {AMSa}{"78}{AMSa}{"78}
\DeclareMathDelimiter\lrcorner{\mathclose}{AMSa}{"79}{AMSa}{"79}
\xdef\yen      {\noexpand\mathhexbox\hexnumber@\symAMSa 55 }
\xdef\checkmark{\noexpand\mathhexbox\hexnumber@\symAMSa 58 }
\xdef\circledR {\noexpand\mathhexbox\hexnumber@\symAMSa 72 }
\xdef\maltese  {\noexpand\mathhexbox\hexnumber@\symAMSa 7A }
\xdef\widehat#1{\noexpand\setboxz@h{$\noexpand\m@th#1$}%
 \noexpand\ifdim\noexpand\wdz@>\tw@ em%
 \mathaccent"0\hexnumber@\symAMSb 5B{#1}%
 \noexpand\else\mathaccent"0362{#1}\noexpand\fi}

\xdef\widetilde#1{\noexpand\setboxz@h{$\noexpand\m@th#1$}%
 \noexpand\ifdim\noexpand\wdz@>\tw@ em\mathaccent"0%
 \hexnumber@\symAMSb 5D{#1}%
 \noexpand\else\mathaccent"0365{#1}\noexpand\fi}
\DeclareMathSymbol\dabar@{\mathord}{AMSa}{"39}
\xdef\dashrightarrow{\mathrel{\dabar@\dabar@
                              \mathchar"0\hexnumber@\symAMSa 4B}}%
\xdef\dashleftarrow{\mathrel{\mathchar"0\hexnumber@\symAMSa 4C\dabar@
                              \dabar@}}%
\global\let\dasharrow\dashrightarrow
\global\let\rightleftharpoons\undefined
\DeclareMathSymbol\rightleftharpoons{\mathrel}{AMSa}{"0A}
\global\let\angle\undefined
\DeclareMathSymbol\angle            {\mathord}{AMSa}{"5C}
\global\let\hbar\undefined
\DeclareMathSymbol\hbar             {\mathord}{AMSb}{"7E}
\global\let\sqsubset\undefined
\DeclareMathSymbol\sqsubset         {\mathrel}{AMSa}{"40}
\global\let\sqsupset\undefined
\DeclareMathSymbol\sqsupset         {\mathrel}{AMSa}{"41}
\global\let\mho\undefined
\DeclareMathSymbol\mho              {\mathord}{AMSb}{"66}

\DeclareMathSymbol\square           {\mathord}{AMSa}{"03}

\DeclareMathSymbol\lozenge          {\mathord}{AMSa}{"06}

\DeclareMathSymbol\vartriangleright {\mathrel}{AMSa}{"42}
\DeclareMathSymbol\vartriangleleft  {\mathrel}{AMSa}{"43}
\DeclareMathSymbol\trianglerighteq  {\mathrel}{AMSa}{"44}
\DeclareMathSymbol\trianglelefteq   {\mathrel}{AMSa}{"45}

\DeclareMathSymbol\rightsquigarrow  {\mathrel}{AMSa}{"20}

\def\@tempa{\not@base\lhd}
\ifx\lhd\@tempa
 \global\let\lhd\vartriangleleft
 \global\let\unlhd\trianglelefteq
 \global\let\rhd\vartriangleright
 \global\let\unrhd\trianglerighteq
 \global\let\Box\square
 \global\let\Diamond\lozenge
 \global\let\leadsto\rightsquigarrow
\xdef\Join{\mathrel{\mathchar"0\hexnumber@\symAMSb 6F\mkern-13.8mu%
  \mathchar"0\hexnumber@\symAMSb 6E}}
\fi
\endgroup
\DeclareMathAlphabet\frak{U}{euf}{m}{n}
\SetMathAlphabet \frak{bold}{U}{euf}{b}{n}
\let\bold\mathbf
\DeclareSymbolFontAlphabet{\Bbb}{AMSb}
\newbox\Mathstrutbox@
\setbox\Mathstrutbox@\null
\def\Mathstrut@{\copy\Mathstrutbox@}
\addto@hook\every@size{\setbox\z@\hbox{$\m@th($}%
        \ht\Mathstrutbox@\ht\z@
        \dp\Mathstrutbox@\dp\z@}
\newbox\strutbox@
\def\strut@{\copy\strutbox@}
\addto@hook\every@size{%
    \setbox\strutbox@\hbox{\lower.5\normallineskiplimit
         \vbox{\kern-\normallineskiplimit\copy\strutbox}}}
\def\big{\bBigg@\@ne}
\def\Big{\bBigg@{1.5}}
\def\bigg{\bBigg@\tw@}
\def\Bigg{\bBigg@{2.5}}
\def\bBigg@#1#2{%
   {%
    \hbox{$\left#2\vcenter to#1\big@size{}\right.%
           \n@space
     $}}}
\addto@hook\every@size{\setbox\z@\vbox{\hbox{$($}\kern\z@}%
  \big@size 1.2\ht\z@}
\newdimen\big@size
\newdimen\ex@
\addto@hook\every@size{\ex@.2326\fontdimen5\textfont\@ne}
\newdimen\minaw@
\addto@hook\every@size{\minaw@11.11128\ex@}
\addto@hook\every@size{\jot\thr@@\ex@}
\DeclareFontEncodingDefaults{\relax}{\def\accentclass@{7}}
\DeclareFontEncoding{OML}{}{\noaccents@}
\DeclareFontEncoding{OMS}{}{\noaccents@}
\def\operator@font{\mathgroup\symoperators}
%% \CharacterTable
%%  {Upper-case    \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z
%%   Lower-case    \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z
%%   Digits        \0\1\2\3\4\5\6\7\8\9
%%   Exclamation   \!     Double quote  \"     Hash (number) \#
%%   Dollar        \$     Percent       \%     Ampersand     \&
%%   Acute accent  \'     Left paren    \(     Right paren   \)
%%   Asterisk      \*     Plus          \+     Comma         \,
%%   Minus         \-     Point         \.     Solidus       \/
%%   Colon         \:     Semicolon     \;     Less than     \<
%%   Equals        \=     Greater than  \>     Question mark \?
%%   Commercial at \@     Left bracket  \[     Backslash     \\
%%   Right bracket \]     Circumflex    \^     Underscore    \_
%%   Grave accent  \`     Left brace    \{     Vertical bar  \|
%%   Right brace   \}     Tilde         \~}
\endinput
%% 
%% End of file `amsfonts.sty'.