%                                                            amsfont.sty
% LaTeX substyle defining AMS fonts
% Springer-Verlag HD
%-----------------------------------------------------------------------
%% This file `amsfont.sty', is a slightly changed `amsfonts.sty'
%% which was generated from `amsfonts.doc'
%% on 21-JUN-1991 by the docstrip.ams utility (1.0).
%%
%% The only changes consider the selection of {cmm}{b}{it}
%% and {cmsy}{b}{n} fonts that are commented out.
%%
\expandafter\ifx\csname amsfonts.sty\endcsname\relax
\expandafter\def\csname amsfonts.sty\endcsname{}
\else\message{---already loaded}\endinput\fi
\def\filename{amsfonts.sty}
\def\fileversion{1.1} \def\filedate{21-JUN-1991}
\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@
    {\string#1\space allowed only in math mode}\@ehd}
\@ifundefined{err@}{\def\err@{\@latexerr}}{}
\new@mathgroup\msa@group
\new@mathgroup\msb@group
\define@mathgroup\mv@normal\msa@group{msa}{m}{n}
\define@mathgroup\mv@normal\msb@group{msb}{m}{n}
\define@mathgroup\mv@bold\msa@group{msa}{m}{n}
\define@mathgroup\mv@bold\msb@group{msb}{m}{n}
{\catcode`\"=12
\edef\@tempa{\hexnumber@\msa@group}%
\edef\@tempb{\hexnumber@\msb@group}%
\xdef\ulcorner{\delimiter"4\@tempa 70\@tempa 70 }
\xdef\urcorner{\delimiter"5\@tempa 71\@tempa 71 }
\xdef\llcorner{\delimiter"4\@tempa 78\@tempa 78 }
\xdef\lrcorner{\delimiter"5\@tempa 79\@tempa 79 }
\xdef\yen      {\noexpand\mathhexbox\@tempa 55 }
\xdef\checkmark{\noexpand\mathhexbox\@tempa 58 }
\xdef\circledR {\noexpand\mathhexbox\@tempa 72 }
\xdef\maltese  {\noexpand\mathhexbox\@tempa 7A }
\xdef\widehat#1{\noexpand\setboxz@h{$\noexpand\m@th#1$}%
 \noexpand\ifdim\noexpand\wdz@>\tw@ em\mathaccent"0\@tempb5B{#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\@tempb5D{#1}%
 \noexpand\else\mathaccent"0365{#1}\noexpand\fi}
\mathchardef\dabar@="0\@tempa39
\xdef\dashrightarrow{\mathrel{\dabar@\dabar@\mathchar"0\@tempa4B}}%
\xdef\dashleftarrow{\mathrel{\mathchar"0\@tempa4C\dabar@\dabar@}}%
\global\let\dasharrow\dashrightarrow
\gdef\newsymbol#1#2#3#4#5{%
    \@ifdefinable#1{%
       \edef\next@
         {\ifcase #2 \or
            \hexnumber@{\msa@group}\or
            \hexnumber@{\msb@group}\fi}%
       \ifx\next@\@empty
         \err@{\Invalid@@\newsymbol}\@ehd%
       \else
        \global\mathchardef#1"#3\next@#4#5
       \fi}}
}
\let\rightleftharpoons\undefined \newsymbol\rightleftharpoons 130A
\let\angle\undefined             \newsymbol\angle             105C
\let\hbar\undefined              \newsymbol\hbar              207E
\let\sqsubset\undefined          \newsymbol\sqsubset          1340
\let\sqsupset\undefined          \newsymbol\sqsupset          1341
\let\mho\undefined               \newsymbol\mho               2066
\let\Box\undefined      \newsymbol\Box 1203
\let\Diamond\undefined  \newsymbol\Diamond 1206
\let\leadsto\undefined  \newsymbol\leadsto 1320
\let\lhd\undefined      \newsymbol\lhd 1343
\let\unlhd\undefined    \newsymbol\unlhd 1345
\let\rhd\undefined      \newsymbol\rhd 1342
\let\unrhd\undefined    \newsymbol\unrhd 1344
\edef\Join{\mathrel{\mathchar"0\hexnumber@\msb@group 6F\mkern-13.8mu%
  \mathchar"0\hexnumber@\msb@group 6E}}
\def\frak{\protect\pfrak}
\def\pfrak{\RIfM@\expandafter\frak@\else
                 \expandafter\nonmatherr@\expandafter\frak\fi}
\newmathalphabet\frak@
\addtoversion{normal}\frak@{euf}{m}{n}
\addtoversion{bold}\frak@{euf}{m}{n}
\def\bold{\protect\pbold}
\def\pbold{\RIfM@\expandafter\bold@\else
                 \expandafter\nonmatherr@\expandafter\bold\fi}
\newmathalphabet*\bold@{cmr}{bx}{n}
\def\Bbb{\protect\pBbb}
\def\pBbb{\RIfM@\expandafter\Bbb@\else
                 \expandafter\nonmatherr@\expandafter\Bbb\fi}
\edef\Bbb@{\noexpand\use@mathgroup
          \expandafter\noexpand\csname =msb\endcsname
          \msb@group}
\def\goth{\family{euf}\selectfont\frak@}
\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{$\left#2\vcenter to#1\big@size{}\right.%
                         \nulldelimiterspace\z@ \m@th$}}}
\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@}
\newmuskip\dotsspace@
\dotsspace@1.5mu
\def\smash{\@ifnextchar[\@xsmash{\@xsmash[tb]}}
\def\@xsmash[#1]{\def\smash@{#1}%
  \ifmmode\expandafter\mathpalette\expandafter\mathsm@sh\else
        \expandafter\makesm@sh\fi}
\def\finsm@sh{\def\mb@t{\ht\z@\z@}\def\mb@b{\dp\z@\z@}%
   \expandafter\@tfor\expandafter\@tempa
         \expandafter:\expandafter=\smash@\do
      {\csname mb@\@tempa\endcsname}%
   \leavevmode\boxz@}
\def\default@mextra{\def\accentclass@{7}}
\extra@def{cmm}{\skewchar#1'177}{\noaccents@}
\extra@def{cmsy}{\skewchar#1'60}{\noaccents@}
\new@fontshape{msa}{m}{n}{%
   <5>msam5%
   <6>msam6%
   <7>msam7%
   <8>msam8%
   <9>msam9%
   <10>msam10%
   <11>msam10 at10.95pt%
   <12>msam10 at12pt%
   <14>msam10 at14.4pt%
   <17>msam10 at17.28pt%
   <20>msam10 at20.74pt%
   <25>msam10 at24.88pt}{}
\extra@def{msa}{}{}
\new@fontshape{msb}{m}{n}{%
   <5>msbm5%
   <6>msbm6%
   <7>msbm7%
   <8>msbm8%
   <9>msbm9%
   <10>msbm10%
   <11>msbm10 at10.95pt%
   <12>msbm10 at12pt%
   <14>msbm10 at14.4pt%
   <17>msbm10 at17.28pt%
   <20>msbm10 at20.74pt%
   <25>msbm10 at24.88pt}{}
\extra@def{msb}{}{\noaccents@}
\new@fontshape{euf}{m}{n}{%
   <5>eufm5%
   <6>eufm6%
   <7>eufm7%
   <8>eufm8%
   <9>eufm9%
   <10>eufm10%
   <11>eufm10 at10.95pt%
   <12>eufm10 at12pt%
   <14>eufm10 at14.4pt%
   <17>eufm10 at17.28pt%
   <20>eufm10 at20.74pt%
   <25>eufm10 at24.88pt}{}
%\new@fontshape{euf}{b}{n}{%
%   <5>eufb5%
%   <6>eufb6%
%   <7>eufb7%
%   <8>eufb8%
%   <9>eufb9%
%   <10>eufb10%
%   <11>eufb10 at10.95pt%
%   <12>eufb10 at12pt%
%   <14>eufb14%
%   <17>eufb14 at17.28pt%
%   <20>eufb14 at20.74pt%
%   <25>eufb14 at24.88pt}{}
\extra@def{euf}{\hyphenchar#1\m@ne
       \@tempdima\fontdimen2#1%
       \fontdimen3#1.4\@tempdima
       \fontdimen4#1.3\@tempdima}
      {\noaccents@}
%\new@fontshape{cmm}{b}{it}{%
%      <5>cmmib5%
%      <6>cmmib6%
%      <7>cmmib7%
%      <8>cmmib8%
%      <9>cmmib9%
%      <10>cmmib10%
%      <11>cmmib10 at10.95pt%
%      <12>cmmib10 at12pt%
%      <14>cmmib10 at14.4pt%
%      <17>cmmib10 at17.28pt%
%      <20>cmmib10 at20.74pt%
%      <25>cmmib10 at24.88pt%
%      }{}
%\new@fontshape{cmsy}{b}{n}{%
%      <5>cmbsy5%
%      <6>cmbsy6%
%      <7>cmbsy7%
%      <8>cmbsy8%
%      <9>cmbsy9%
%      <10>cmbsy10%
%      <11>cmbsy10 at10.95pt%
%      <12>cmbsy10 at12pt%
%      <14>cmbsy10 at14.4pt%
%      <17>cmbsy10 at17.28pt%
%      <20>cmbsy10 at20.74pt%
%      <25>cmbsy10 at24.88pt%
%      }{}
\def\unbracefonts@{\let\math@bgroup\@empty\let\math@egroup\@empty}
\def\operator@font{\mathgroup\z@}
%% \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 `amsfont.sty'.