%%
%% This is file `lucbmath.sty',
%% generated with the docstrip utility.
%%
%% The original source files were:
%%
%% lucidabr.dtx  (with options: `lucbmath')
%% This is a generated file for Lucidabr.
%% No permission is granted to distribute a
%% modified version of this file under its original name.
%%
%% Copyright 1995 1996 Sebastian Rahtz
%% Copyright 1997 1998 Sebastian Rahtz, David Carlisle
%% This package may be distributed under the terms of the LaTeX Project Public
%% License, as described in lppl.txt in the base LaTeX distribution.
%% Either version 1.0 or, at your option, any later version.
%%
%%
\ProvidesPackage{lucbmath}
 [1999/03/29 v4.2 %
 Lucida New Math + Lucida Expert
 (SPQR/DPC)]
\newif\iflucida@expert
\DeclareOption{expert}{\lucida@experttrue}
\DeclareOption{noexpert}{\lucida@expertfalse}
\DeclareOption{nolucidascale}{%
  \def\DeclareLucidaFontShape#1#2#3#4#5#6{%
     \DeclareFontShape{#1}{#2}{#3}{#4}{<->#5}{#6}}}
\DeclareOption{lucidascale}{%
 \def\DeclareLucidaFontShape#1#2#3#4#5#6{%
 \DeclareFontShape{#1}{#2}{#3}{#4}{%
  <-5.5>s*[1.04]#5%
  <5.5-6.5>s*[1.02]#5%
  <6.5-7.5>s*[.99]#5%
  <7.5-8.5>s*[.97]#5%
  <8.5-9.5>s*[.96]#5%
  <9.5-10.5>s*[.95]#5%
  <10.5-11.5>s*[.94]#5%
  <11.5-13>s*[.93]#5%
  <13-15.5>s*[.92]#5%
  <15.5-18.5>s*[.91]#5%
  <18.5-22.5>s*[.9]#5%
  <22.5->s*[.89]#5%
  }{#6}}}
\DeclareOption{lucidasmallscale}{%
 \def\DeclareLucidaFontShape#1#2#3#4#5#6{%
 \DeclareFontShape{#1}{#2}{#3}{#4}{%
  <-5.5>s*[.98]#5%
  <5.5-6.5>s*[.96]#5%
  <6.5-7.5>s*[.94]#5%
  <7.5-8.5>s*[.92]#5%
  <8.5-9.5>s*[.91]#5%
  <9.5-10.5>s*[.9]#5%
  <10.5-11.5>s*[.89]#5%
  <11.5-13>s*[.88]#5%
  <13-15.5>s*[.87]#5%
  <15.5-18.5>s*[.86]#5%
  <18.5-22.5>s*[.85]#5%
  <22.5->s*[.84]#5%
  }{#6}}}
\DeclareOption{mathitalic1}{\def\letters@shape{it}}
\DeclareOption{mathitalic2}{\def\letters@shape{itx}}
\DeclareOption{mathitalic3}{\def\letters@shape{n}}
\DeclareOption{slantedgreek}{\def\lcgreek@alphabet{letters}}
\DeclareOption{uprightgreek}{\def\lcgreek@alphabet{mathupright}}
\DeclareOption{vargreek}{\let\upalpha\relax\let\varGamma\relax}
\DeclareOption{noamssymbols}{\let\blacksquare\endinput}
\edef\operator@encoding{\encodingdefault}
\DeclareOption{OT1}{\def\operator@encoding{OT1}}
\DeclareOption{T1}{\def\operator@encoding{T1}}
\DeclareOption{LY1}{\def\operator@encoding{LY1}}
\DeclareOption{errorshow}{%
   \def\@font@info#1{%
         \GenericInfo{(Font)\@spaces\@spaces\@spaces\space\space}%
                     {LaTeX Font Info: \space\space\space#1}}%
    \def\@font@warning#1{%
         \GenericInfo{(Font)\@spaces\@spaces\@spaces\space\space}%
                        {LaTeX Font Warning: #1}}}
\DeclareOption{warningshow}{%
   \def\@font@info#1{%
         \GenericInfo{(Font)\@spaces\@spaces\@spaces\space\space}%
                     {LaTeX Font Info: \space\space\space#1}}%
    \def\@font@warning#1{%
         \GenericWarning{(Font)\@spaces\@spaces\@spaces\space\space}%
                        {LaTeX Font Warning: #1}}}
\DeclareOption{nofontinfo}{%
   \let\@font@info\@gobble
   \let\@font@warning\@gobble}
\ExecuteOptions{noexpert,lucidascale,slantedgreek,mathitalic1,errorshow}
\ProcessOptions
 \DeclareFontEncoding{LMR}{}{}
 \DeclareFontSubstitution{LMR}{hlcm}{m}{n}
 \DeclareSymbolFont{letters}{OML}{hlcm}{m}{\letters@shape}
\iflucida@expert
 \DeclareSymbolFont{mathupright}{OML}{hlcm}{m}{n}
\fi
 \DeclareSymbolFont{symbols}{OMS}{hlcy}{m}{n}
 \DeclareSymbolFont{largesymbols}{OMX}{hlcv}{m}{n}
\iflucida@expert
 \SetSymbolFont{letters}{bold}{OML}{hlcm}{b}{\letters@shape}
 \SetSymbolFont{mathupright}{bold}{OML}{hlcm}{b}{n}
 \SetSymbolFont{symbols}{bold}{OMS}{hlcy}{b}{n}
\fi
 \DeclareSymbolFont{arrows}{LMR}{hlcm}{m}{n}
\iflucida@expert
 \SetSymbolFont{arrows}{bold}{LMR}{hlcm}{b}{n}
\fi
\DeclareSymbolFont{operators}{\operator@encoding}{\rmdefault}{m}{n}
\SetSymbolFont{operators}{bold}{\operator@encoding}{\rmdefault}{b}{n}
\SetSymbolFont{operators}{normal}{\operator@encoding}{\rmdefault}{m}{n}
\DeclareMathAlphabet\mathbf  \operator@encoding{\rmdefault}{b}{n}
\DeclareMathAlphabet\mathrm  \operator@encoding{\rmdefault}{m}{n}
\DeclareMathAlphabet\mathsf  \operator@encoding{\sfdefault}{m}{n}
\DeclareMathAlphabet\mathit  \operator@encoding{\rmdefault}{m}{it}
\DeclareMathAlphabet\mathtt  \operator@encoding{\ttdefault}{m}{n}
\DeclareMathAlphabet\mathfrak\operator@encoding{hlcf}{m}{n}
\SetMathAlphabet{\mathbf}{bold}{\operator@encoding}{\rmdefault}{b}{n}
\SetMathAlphabet{\mathsf}{bold}{\operator@encoding}{\sfdefault}{b}{n}
\SetMathAlphabet{\mathrm}{bold}{\operator@encoding}{\rmdefault}{b}{n}
\SetMathAlphabet{\mathit}{bold}{\operator@encoding}{\rmdefault}{b}{it}
\SetMathAlphabet{\mathtt}{bold}{\operator@encoding}{\ttdefault}{b}{n}
\DeclareSymbolFontAlphabet{\mathbb}{arrows}
\DeclareSymbolFontAlphabet{\mathscr}{symbols}
\iflucida@expert
  \DeclareSymbolFontAlphabet{\mathup}{mathupright}
\fi
 \DeclareMathAccent\vec  {\mathord}{letters}{126}
\let\@tempb\@undefined
\DeclareMathSymbol{\@tempb}{\mathpunct}{operators}{58}
\def\@tempa{T1}
\ifx\operator@encoding\@tempa
  \DeclareMathSymbol{!}{\mathclose}{operators}{33}
  \DeclareMathSymbol{:}{\mathrel}{operators}{58}
  \DeclareMathSymbol{;}{\mathpunct}{operators}{59}
  \DeclareMathSymbol{?}{\mathclose}{operators}{63}
  \ifx\colon\@tempb
    \DeclareMathSymbol{\colon}{\mathpunct}{operators}{58}
  \fi
  \DeclareMathAccent{\acute}{\mathalpha}{operators}{1}
  \DeclareMathAccent{\grave}{\mathalpha}{operators}{0}
  \DeclareMathAccent{\ddot}{\mathalpha}{operators}{4}
  \DeclareMathAccent{\tilde}{\mathalpha}{operators}{3}
  \DeclareMathAccent{\bar}{\mathalpha}{operators}{9}
  \DeclareMathAccent{\breve}{\mathalpha}{operators}{8}
  \DeclareMathAccent{\check}{\mathalpha}{operators}{7}
  \DeclareMathAccent{\hat}{\mathalpha}{operators}{2}
  \DeclareMathAccent{\dot}{\mathalpha}{operators}{10}
\else
\def\@tempa{OT1}
\ifx\operator@encoding\@tempa
  \DeclareMathSymbol{!}{\mathclose}{operators}{33}
  \DeclareMathSymbol{:}{\mathrel}{operators}{58}
  \DeclareMathSymbol{;}{\mathpunct}{operators}{59}
  \DeclareMathSymbol{?}{\mathclose}{operators}{63}
  \ifx\colon\@tempb
    \DeclareMathSymbol{\colon}{\mathpunct}{operators}{58}
  \fi
  \DeclareMathAccent{\acute}{\mathalpha}{operators}{19}
  \DeclareMathAccent{\grave}{\mathalpha}{operators}{18}
  \DeclareMathAccent{\ddot}{\mathalpha}{operators}{127}
  \DeclareMathAccent{\tilde}{\mathalpha}{operators}{126}
  \DeclareMathAccent{\bar}{\mathalpha}{operators}{22}
  \DeclareMathAccent{\breve}{\mathalpha}{operators}{21}
  \DeclareMathAccent{\check}{\mathalpha}{operators}{20}
  \DeclareMathAccent{\hat}{\mathalpha}{operators}{94}
  \DeclareMathAccent{\dot}{\mathalpha}{operators}{95}
\else
\def\@tempa{LY1}
\ifx\operator@encoding\@tempa
  \DeclareMathSymbol{!}{\mathclose}{operators}{33}
  \DeclareMathSymbol{:}{\mathrel}{operators}{58}
  \DeclareMathSymbol{;}{\mathpunct}{operators}{59}
  \DeclareMathSymbol{?}{\mathclose}{operators}{63}
  \ifx\colon\@tempb
      \DeclareMathSymbol{\colon}{\mathpunct}{operators}{58}
  \fi
  \DeclareMathAccent{\acute}{\mathalpha}{operators}{19}
  \DeclareMathAccent{\grave}{\mathalpha}{operators}{18}
  \DeclareMathAccent{\ddot}{\mathalpha}{operators}{127}
  \DeclareMathAccent{\tilde}{\mathalpha}{operators}{126}
  \DeclareMathAccent{\bar}{\mathalpha}{operators}{22}
  \DeclareMathAccent{\breve}{\mathalpha}{operators}{21}
  \DeclareMathAccent{\check}{\mathalpha}{operators}{20}
  \DeclareMathAccent{\hat}{\mathalpha}{operators}{94}
  \DeclareMathAccent{\vec}{\mathord}{letters}{126}
  \DeclareMathAccent{\dot}{\mathalpha}{operators}{5}
\else
  \PackageWarningNoLine{lucidabr}
    {Unknown Operator Encoding!\MessageBreak
     Math accents may be wrong: assuming OT1 positions}
\fi\fi\fi
\@ifpackageloaded{amsmath}{%
  \def\biggg{\bBigg@\thr@@}
  \def\Biggg{\bBigg@{3.5}}
}{%
  \def\big#1{{\hbox{$\left#1\vbox to8.20\p@{}\right.\n@space$}}}
  \def\Big#1{{\hbox{$\left#1\vbox to10.80\p@{}\right.\n@space$}}}
  \def\bigg#1{{\hbox{$\left#1\vbox to13.42\p@{}\right.\n@space$}}}
  \def\Bigg#1{{\hbox{$\left#1\vbox to16.03\p@{}\right.\n@space$}}}
  \def\biggg#1{{\hbox{$\left#1\vbox to17.72\p@{}\right.\n@space$}}}
  \def\Biggg#1{{\hbox{$\left#1\vbox to21.25\p@{}\right.\n@space$}}}
  \def\n@space{\nulldelimiterspace\z@ \m@th}
}
\def\bigggl{\mathopen\biggg}
\def\bigggr{\mathclose\biggg}
\def\Bigggl{\mathopen\Biggg}
\def\Bigggr{\mathclose\Biggg}
\DeclareMathSymbol{[}{\mathopen} {letters}{134}
\DeclareMathDelimiter{[}{letters}{134}{largesymbols}{2}
\DeclareMathSymbol{]}{\mathclose}{letters}{135}
\DeclareMathDelimiter{]}{letters}{135}{largesymbols}{3}
\DeclareMathSymbol{(}{\mathopen} {letters}{132}
\DeclareMathDelimiter{(}{letters}{132}{largesymbols}{0}
\DeclareMathSymbol{)}{\mathclose}{letters}{133}
\DeclareMathDelimiter{)}{letters}{133}{largesymbols}{1}
\DeclareMathSymbol{=}{\mathrel} {symbols}{131}
\DeclareMathSymbol{+}{\mathbin} {symbols}{130}
\DeclareMathSymbol{/}{\mathord} {letters}{61}
\DeclareMathDelimiter{/}{letters}{61}{largesymbols}{14}
\DeclareMathDelimiter{\ldbrack}
  {\mathopen}{letters}{130}{largesymbols}{130}
\DeclareMathDelimiter{\rdbrack}
  {\mathclose}{letters}{131}{largesymbols}{131}
\DeclareMathSymbol{\surfintop}{\mathop}{largesymbols}{144}
\def\surfint{\surfintop\nolimits}
\DeclareMathSymbol{\midintop}{\mathop}{largesymbols}{146}
\def\midint{\midintop\nolimits}
\DeclareMathSymbol{\midointop}{\mathop}{largesymbols}{147}
\def\midoint{\midointop\nolimits}
\DeclareMathSymbol{\midsurfintop}{\mathop}{largesymbols}{148}
\def\midsurfint{\midsurfintop\nolimits}
\DeclareMathDelimiter{\largeint}
  {\mathop}{largesymbols}{90}{largesymbols}{149}
\def\joinrel{\mathrel{\mkern-4mu}} % \def\joinrel{\mathrel{\mkern-3mu}}
\DeclareMathSymbol{\relbar@}{\mathord}{arrows}{45}
\def\relbar{\mathrel{\smash\relbar@}\mathrel{\mkern-2.5mu}}
\DeclareMathSymbol{\Relbar@}{\mathrel}{arrows}{61}
\def\Relbar{\Relbar@\mathrel{\mkern-2.5mu}}
\def\longleftarrow{\leftarrow\relbar\mathrel{\mkern4mu}}
\def\longrightarrow{\mathrel{\mkern4mu}\relbar\rightarrow}
\def\Longleftarrow{\Leftarrow\Relbar\mathrel{\mkern4mu}}
\def\Longrightarrow{\mathrel{\mkern4mu}\Relbar\Rightarrow}
\AtBeginDocument{%
  \@ifpackageloaded{amsmath}{%
    \def\rightarrowfill@#1{%
      \m@th\setboxz@h{$#1\relbar$}\ht\z@\z@
      $#1\mkern4.5mu\mathrel{\copy\z@}%
      \kern-\wd\z@
      \cleaders\hbox{$#1\mkern-2mu\box\z@\mkern-2mu$}\hfill%
      \mkern-4.5mu %
      \rightarrow$}%
    \def\leftarrowfill@#1{%
      \m@th\setboxz@h{$#1\relbar$}\ht\z@\z@
      $#1\leftarrow
      \mkern-4.5mu %
      \cleaders\hbox{$#1\mkern-2mu\copy\z@\mkern-2mu$}\hfill
      \kern-\wd\z@
      \mathrel{\box\z@}\mkern4.5mu$}
    \def\leftrightarrowfill@#1{\m@th\setboxz@h{$#1\relbar$}\ht\z@\z@
      $#1\leftarrow
      \mkern-12mu %
      \cleaders\hbox{$#1\mkern-2mu\box\z@\mkern-2mu$}\hfill
      \rightarrow$}}%
    {}}
\let\bowtie\undefined
\let\models\undefined
\let\doteq\undefined
\let\cong\undefined
\let\angle\undefined
\DeclareMathSymbol{\bowtie}{\mathrel}{letters}{246}
\DeclareMathSymbol{\models}{\mathrel}{symbols}{238}
\DeclareMathSymbol{\doteq}{\mathrel}{symbols}{201}
\DeclareMathSymbol{\cong}{\mathrel}{symbols}{155}
\DeclareMathSymbol{\angle}{\mathord}{symbols}{139}
\let\Box\undefined
\let\Diamond\undefined
\let\leadsto\undefined
\let\neq\undefined
\let\hookleftarrow\undefined
\let\hookrightarrow\undefined
\let\mapsto\undefined
\let\notin\undefined
\let\rightleftharpoons\undefined
\DeclareMathSymbol{\neq}{\mathrel}{arrows}{148}
\DeclareMathSymbol{\rightleftharpoons}{\mathrel}{arrows}{122}
\DeclareMathSymbol{\leftrightharpoons}{\mathrel}{arrows}{121}
\DeclareMathSymbol{\hookleftarrow}{\mathrel}{arrows}{60}
\DeclareMathSymbol{\hookrightarrow}{\mathrel}{arrows}{62}
\DeclareMathSymbol{\mapsto}{\mathrel}{arrows}{44}
\def\longmapsto{\mapstochar\longrightarrow}
\let\Join\undefined
\let\rhd\undefined
\let\lhd\undefined
\let\unrhd\undefined
\let\unlhd\undefined
\DeclareMathSymbol{\Join}{\mathrel}{letters}{246}
\DeclareMathSymbol{\rhd}{\mathrel}{letters}{46}
\DeclareMathSymbol{\lhd}{\mathrel}{letters}{47}
\DeclareMathSymbol{\unlhd}{\mathrel}{symbols}{244}
\DeclareMathSymbol{\unrhd}{\mathrel}{symbols}{245}
\DeclareMathSymbol{\Box}{\mathord}{arrows}{2}
\DeclareMathSymbol{\Diamond}{\mathord}{arrows}{8}
\DeclareMathSymbol{\leadsto}{\mathrel}{arrows}{142}
\DeclareMathSymbol{\leadsfrom}{\mathrel}{arrows}{141}
\def\mathstrut{\vphantom{f}}
\def\r@@t#1#2{\setbox\z@\hbox{$\m@th#1\sqrt{#2}$}%
  \dimen@\ht\z@ \advance\dimen@-\dp\z@
  \mkern5mu\raise.6\dimen@\copy\rootbox \mkern-7.5mu\box\z@}
\DeclareMathSymbol{\defineequal}{\mathrel}{symbols}{214}
\DeclareMathSymbol{\notequiv}{\mathrel}{arrows}{149}
\DeclareMathSymbol{\notapprox}{\mathrel}{arrows}{152}
\DeclareMathSymbol{\notasymp}{\mathrel}{arrows}{243}
\DeclareMathSymbol{\notsubset}{\mathrel}{arrows}{198}
\DeclareMathSymbol{\notsupset}{\mathrel}{arrows}{199}
\DeclareMathSymbol{\notsim}{\mathrel}{arrows}{150}
\DeclareMathSymbol{\notsubseteq}{\mathrel}{arrows}{200}
\DeclareMathSymbol{\notsupseteq}{\mathrel}{arrows}{201}
\DeclareMathSymbol{\notsimeq}{\mathrel}{arrows}{151}
\DeclareMathSymbol{\notsqsubseteq}{\mathrel}{arrows}{212}
\DeclareMathSymbol{\notsqsupseteq}{\mathrel}{arrows}{213}
\DeclareMathSymbol{\notcong}{\mathrel}{arrows}{153}
\DeclareMathSymbol{\notin}{\mathrel}{arrows}{29}
\DeclareMathSymbol{\notni}{\mathrel}{arrows}{31}
\let\Bbb\mathbb
\iflucida@expert
  \DeclareMathSymbol{\Gamma}{\mathord}{mathupright}{0}
  \DeclareMathSymbol{\Delta}{\mathord}{mathupright}{1}
  \DeclareMathSymbol{\Theta}{\mathord}{mathupright}{2}
  \DeclareMathSymbol{\Lambda}{\mathord}{mathupright}{3}
  \DeclareMathSymbol{\Xi}{\mathord}{mathupright}{4}
  \DeclareMathSymbol{\Pi}{\mathord}{mathupright}{5}
  \DeclareMathSymbol{\Sigma}{\mathord}{mathupright}{6}
  \DeclareMathSymbol{\Upsilon}{\mathord}{mathupright}{7}
  \DeclareMathSymbol{\Phi}{\mathord}{mathupright}{8}
  \DeclareMathSymbol{\Psi}{\mathord}{mathupright}{9}
  \DeclareMathSymbol{\Omega}{\mathord}{mathupright}{10}
\else
  \DeclareMathSymbol{\Gamma}{\mathord}{largesymbols}{'320}
  \DeclareMathSymbol{\Delta}{\mathord}{largesymbols}{'321}
  \DeclareMathSymbol{\Theta}{\mathord}{largesymbols}{'322}
  \DeclareMathSymbol{\Lambda}{\mathord}{largesymbols}{'323}
  \DeclareMathSymbol{\Xi}{\mathord}{largesymbols}{'324}
  \DeclareMathSymbol{\Pi}{\mathord}{largesymbols}{'325}
  \DeclareMathSymbol{\Sigma}{\mathord}{largesymbols}{'326}
  \DeclareMathSymbol{\Upsilon}{\mathord}{largesymbols}{'327}
  \DeclareMathSymbol{\Phi}{\mathord}{largesymbols}{'330}
  \DeclareMathSymbol{\Psi}{\mathord}{largesymbols}{'331}
  \DeclareMathSymbol{\Omega}{\mathord}{largesymbols}{'332}
\fi
\DeclareMathSymbol{\alpha}{\mathord}{\lcgreek@alphabet}{11}
\DeclareMathSymbol{\beta}{\mathord}{\lcgreek@alphabet}{12}
\DeclareMathSymbol{\gamma}{\mathord}{\lcgreek@alphabet}{13}
\DeclareMathSymbol{\delta}{\mathord}{\lcgreek@alphabet}{14}
\DeclareMathSymbol{\epsilon}{\mathord}{\lcgreek@alphabet}{15}
\DeclareMathSymbol{\zeta}{\mathord}{\lcgreek@alphabet}{16}
\DeclareMathSymbol{\eta}{\mathord}{\lcgreek@alphabet}{17}
\DeclareMathSymbol{\theta}{\mathord}{\lcgreek@alphabet}{18}
\DeclareMathSymbol{\iota}{\mathord}{\lcgreek@alphabet}{19}
\DeclareMathSymbol{\kappa}{\mathord}{\lcgreek@alphabet}{20}
\DeclareMathSymbol{\lambda}{\mathord}{\lcgreek@alphabet}{21}
\DeclareMathSymbol{\mu}{\mathord}{\lcgreek@alphabet}{22}
\DeclareMathSymbol{\nu}{\mathord}{\lcgreek@alphabet}{23}
\DeclareMathSymbol{\xi}{\mathord}{\lcgreek@alphabet}{24}
\DeclareMathSymbol{\pi}{\mathord}{\lcgreek@alphabet}{25}
\DeclareMathSymbol{\rho}{\mathord}{\lcgreek@alphabet}{26}
\DeclareMathSymbol{\sigma}{\mathord}{\lcgreek@alphabet}{27}
\DeclareMathSymbol{\tau}{\mathord}{\lcgreek@alphabet}{28}
\DeclareMathSymbol{\upsilon}{\mathord}{\lcgreek@alphabet}{29}
\DeclareMathSymbol{\phi}{\mathord}{\lcgreek@alphabet}{30}
\DeclareMathSymbol{\chi}{\mathord}{\lcgreek@alphabet}{31}
\DeclareMathSymbol{\psi}{\mathord}{\lcgreek@alphabet}{32}
\DeclareMathSymbol{\omega}{\mathord}{\lcgreek@alphabet}{33}
\DeclareMathSymbol{\varepsilon}{\mathord}{\lcgreek@alphabet}{34}
\DeclareMathSymbol{\vartheta}{\mathord}{\lcgreek@alphabet}{35}
\DeclareMathSymbol{\varpi}{\mathord}{\lcgreek@alphabet}{36}
\DeclareMathSymbol{\varrho}{\mathord}{\lcgreek@alphabet}{37}
\DeclareMathSymbol{\varsigma}{\mathord}{\lcgreek@alphabet}{38}
\DeclareMathSymbol{\varphi}{\mathord}{\lcgreek@alphabet}{39}
\ifx\blacksquare\endinput\endinput\fi
\DeclareMathSymbol{\boxdot}{\mathbin}{symbols}{237}
\DeclareMathSymbol{\boxplus}{\mathbin}{symbols}{234}
\DeclareMathSymbol{\boxtimes}{\mathbin}{symbols}{236}
\DeclareMathSymbol{\square}{\mathord}{arrows}{2}
\DeclareMathSymbol{\blacksquare}{\mathord}{arrows}{3}
\DeclareMathSymbol{\centerdot}{\mathbin}{arrows}{225}
\DeclareMathSymbol{\lozenge}{\mathord}{arrows}{8}
\DeclareMathSymbol{\blacklozenge}{\mathord}{arrows}{9}
\DeclareMathSymbol{\circlearrowright}{\mathrel}{arrows}{140}
\DeclareMathSymbol{\circlearrowleft}{\mathrel}{arrows}{139}
\DeclareMathSymbol{\rightleftharpoons}{\mathrel}{arrows}{122}
\DeclareMathSymbol{\leftrightharpoons}{\mathrel}{arrows}{121}
\DeclareMathSymbol{\boxminus}{\mathbin}{symbols}{235}
\DeclareMathSymbol{\Vdash}{\mathrel}{symbols}{240}
\DeclareMathSymbol{\Vvdash}{\mathrel}{letters}{211}
\DeclareMathSymbol{\vDash}{\mathrel}{symbols}{238}
\DeclareMathSymbol{\twoheadrightarrow}{\mathrel}{arrows}{37}
\DeclareMathSymbol{\twoheadleftarrow}{\mathrel}{arrows}{35}
\DeclareMathSymbol{\leftleftarrows}{\mathrel}{arrows}{113}
\DeclareMathSymbol{\rightrightarrows}{\mathrel}{arrows}{115}
\DeclareMathSymbol{\upuparrows}{\mathrel}{arrows}{114}
\DeclareMathSymbol{\downdownarrows}{\mathrel}{arrows}{116}
\DeclareMathSymbol{\upharpoonright}{\mathrel}{arrows}{117}
\DeclareMathSymbol{\downharpoonright}{\mathrel}{arrows}{119}
\DeclareMathSymbol{\upharpoonleft}{\mathrel}{arrows}{118}
\DeclareMathSymbol{\downharpoonleft}{\mathrel}{arrows}{120}
\DeclareMathSymbol{\rightarrowtail}{\mathrel}{arrows}{41}
\DeclareMathSymbol{\leftarrowtail}{\mathrel}{arrows}{40}
\DeclareMathSymbol{\leftrightarrows}{\mathrel}{arrows}{110}
\DeclareMathSymbol{\rightleftarrows}{\mathrel}{arrows}{109}
\DeclareMathSymbol{\Lsh}{\mathrel}{arrows}{123}
\DeclareMathSymbol{\Rsh}{\mathrel}{arrows}{125}
\DeclareMathSymbol{\rightsquigarrow}{\mathrel}{arrows}{142}
\DeclareMathSymbol{\leftsquigarrow}{\mathrel}{arrows}{141}
\DeclareMathSymbol{\leftrightsquigarrow}{\mathrel}{arrows}{145}
\DeclareMathSymbol{\looparrowleft}{\mathrel}{arrows}{63}
\DeclareMathSymbol{\looparrowright}{\mathrel}{arrows}{64}
\DeclareMathSymbol{\circeq}{\mathrel}{symbols}{208}
\DeclareMathSymbol{\succsim}{\mathrel}{symbols}{225}
\DeclareMathSymbol{\gtrsim}{\mathrel}{symbols}{221}
\DeclareMathSymbol{\gtrapprox}{\mathrel}{letters}{219}
\DeclareMathSymbol{\multimap}{\mathrel}{letters}{199}
\DeclareMathSymbol{\image}{\mathrel}{letters}{198}
\DeclareMathSymbol{\original}{\mathrel}{letters}{197}
\DeclareMathSymbol{\therefore}{\mathrel}{symbols}{144}
\DeclareMathSymbol{\because}{\mathrel}{symbols}{145}
\DeclareMathSymbol{\doteqdot}{\mathrel}{symbols}{202}
\DeclareMathSymbol{\triangleq}{\mathrel}{symbols}{213}
\DeclareMathSymbol{\precsim}{\mathrel}{symbols}{224}
\DeclareMathSymbol{\lesssim}{\mathrel}{symbols}{220}
\DeclareMathSymbol{\lessapprox}{\mathrel}{letters}{218}
\DeclareMathSymbol{\eqslantless}{\mathrel}{letters}{226}
\DeclareMathSymbol{\eqslantgtr}{\mathrel}{letters}{227}
\DeclareMathSymbol{\curlyeqprec}{\mathrel}{letters}{230}
\DeclareMathSymbol{\curlyeqsucc}{\mathrel}{letters}{231}
\DeclareMathSymbol{\preccurlyeq}{\mathrel}{letters}{228}
\DeclareMathSymbol{\leqq}{\mathrel}{symbols}{218}
\DeclareMathSymbol{\leqslant}{\mathrel}{letters}{224}
\DeclareMathSymbol{\lessgtr}{\mathrel}{symbols}{222}
\DeclareMathSymbol{\backprime}{\mathord}{letters}{200}
\DeclareMathSymbol{\axisshort}{\mathord}{arrows}{57}
\DeclareMathSymbol{\risingdotseq}{\mathrel}{symbols}{204}
\DeclareMathSymbol{\fallingdotseq}{\mathrel}{symbols}{203}
\DeclareMathSymbol{\succcurlyeq}{\mathrel}{letters}{229}
\DeclareMathSymbol{\geqq}{\mathrel}{symbols}{219}
\DeclareMathSymbol{\geqslant}{\mathrel}{letters}{225}
\DeclareMathSymbol{\gtrless}{\mathrel}{symbols}{223}
\let\sqsubset\undefined
\let\sqsupset\undefined
\DeclareMathSymbol{\sqsubset}{\mathrel}{symbols}{228}
\DeclareMathSymbol{\sqsupset}{\mathrel}{symbols}{229}
\DeclareMathSymbol{\vartriangleright}{\mathrel}{letters}{46}
\DeclareMathSymbol{\vartriangleleft}{\mathrel}{letters}{47}
\DeclareMathSymbol{\trianglerighteq}{\mathrel}{symbols}{245}
\DeclareMathSymbol{\trianglelefteq}{\mathrel}{symbols}{244}
\DeclareMathSymbol{\bigstar}{\mathord}{arrows}{171}
\DeclareMathSymbol{\between}{\mathrel}{letters}{242}
\DeclareMathSymbol{\blacktriangledown}{\mathord}{arrows}{7}
\DeclareMathSymbol{\blacktriangleright}{\mathrel}{letters}{241}
\DeclareMathSymbol{\blacktriangleleft}{\mathrel}{letters}{240}
\DeclareMathSymbol{\arrowaxisright}{\mathord}{arrows}{55}
\DeclareMathSymbol{\arrowaxisleft}{\mathord}{arrows}{54}
\DeclareMathSymbol{\vartriangle}{\mathrel}{arrows}{4}
\DeclareMathSymbol{\blacktriangle}{\mathord}{arrows}{5}
\DeclareMathSymbol{\triangledown}{\mathord}{arrows}{6}
\DeclareMathSymbol{\eqcirc}{\mathrel}{symbols}{207}
\DeclareMathSymbol{\lesseqgtr}{\mathrel}{letters}{232}
\DeclareMathSymbol{\gtreqless}{\mathrel}{letters}{233}
\DeclareMathSymbol{\lesseqqgtr}{\mathrel}{letters}{234}
\DeclareMathSymbol{\gtreqqless}{\mathrel}{letters}{235}
\DeclareMathSymbol{\Rrightarrow}{\mathrel}{arrows}{108}
\DeclareMathSymbol{\Lleftarrow}{\mathrel}{arrows}{106}
\DeclareMathSymbol{\veebar}{\mathbin}{letters}{210}
\DeclareMathSymbol{\barwedge}{\mathbin}{symbols}{246}
\DeclareMathSymbol{\angle}{\mathord}{symbols}{139}
\DeclareMathSymbol{\measuredangle}{\mathord}{symbols}{140}
\DeclareMathSymbol{\sphericalangle}{\mathord}{symbols}{141}
\DeclareMathSymbol{\varpropto}{\mathrel}{symbols}{47} % ?
\DeclareMathSymbol{\smallsmile}{\mathrel}{letters}{94} % ?
\DeclareMathSymbol{\smallfrown}{\mathrel}{letters}{95} % ?
\DeclareMathSymbol{\Subset}{\mathrel}{symbols}{248}
\DeclareMathSymbol{\Supset}{\mathrel}{symbols}{249}
\DeclareMathSymbol{\Cup}{\mathbin}{symbols}{250}
\DeclareMathSymbol{\Cap}{\mathbin}{symbols}{251}
\DeclareMathSymbol{\curlywedge}{\mathbin}{symbols}{132}
\DeclareMathSymbol{\curlyvee}{\mathbin}{symbols}{133}
\DeclareMathSymbol{\leftthreetimes}{\mathbin}{letters}{208}
\DeclareMathSymbol{\rightthreetimes}{\mathbin}{letters}{209}
\DeclareMathSymbol{\subseteqq}{\mathrel}{letters}{238}
\DeclareMathSymbol{\supseteqq}{\mathrel}{letters}{239}
\DeclareMathSymbol{\bumpeq}{\mathrel}{symbols}{200}
\DeclareMathSymbol{\Bumpeq}{\mathrel}{symbols}{199}
\DeclareMathSymbol{\lll}{\mathrel}{letters}{222}
\DeclareMathSymbol{\ggg}{\mathrel}{letters}{223}
\DeclareMathSymbol{\circledS}{\mathord}{letters}{202}
\DeclareMathSymbol{\pitchfork}{\mathrel}{letters}{243}
\DeclareMathSymbol{\dotplus}{\mathbin}{symbols}{137}
\DeclareMathSymbol{\backsim}{\mathrel}{letters}{248}
\DeclareMathSymbol{\backsimeq}{\mathrel}{letters}{249}
\DeclareMathSymbol{\complement}{\mathord}{letters}{148}
\DeclareMathSymbol{\intercal}{\mathbin}{letters}{217}
\DeclareMathSymbol{\circledcirc}{\mathbin}{symbols}{230}
\DeclareMathSymbol{\circledast}{\mathbin}{symbols}{231}
\DeclareMathSymbol{\circleddash}{\mathbin}{letters}{204}
\DeclareMathSymbol{\lvertneqq}{\mathrel}{arrows}{222}
\DeclareMathSymbol{\gvertneqq}{\mathrel}{arrows}{223}
\DeclareMathSymbol{\nleq}{\mathrel}{arrows}{156}
\DeclareMathSymbol{\ngeq}{\mathrel}{arrows}{157}
\DeclareMathSymbol{\nless}{\mathrel}{arrows}{154}
\DeclareMathSymbol{\ngtr}{\mathrel}{arrows}{155}
\DeclareMathSymbol{\nprec}{\mathrel}{arrows}{229}
\DeclareMathSymbol{\nsucc}{\mathrel}{arrows}{230}
\DeclareMathSymbol{\lneqq}{\mathrel}{arrows}{220}
\DeclareMathSymbol{\gneqq}{\mathrel}{arrows}{221}
\DeclareMathSymbol{\nleqslant}{\mathrel}{arrows}{214}
\DeclareMathSymbol{\ngeqslant}{\mathrel}{arrows}{215}
\DeclareMathSymbol{\lneq}{\mathrel}{arrows}{218}
\DeclareMathSymbol{\gneq}{\mathrel}{arrows}{219}
\DeclareMathSymbol{\npreceq}{\mathrel}{arrows}{231}
\DeclareMathSymbol{\nsucceq}{\mathrel}{arrows}{232}
\DeclareMathSymbol{\precnsim}{\mathrel}{arrows}{235}
\DeclareMathSymbol{\succnsim}{\mathrel}{arrows}{236}
\DeclareMathSymbol{\lnsim}{\mathrel}{arrows}{224}
\DeclareMathSymbol{\gnsim}{\mathrel}{arrows}{226}
\DeclareMathSymbol{\nleqq}{\mathrel}{arrows}{216}
\DeclareMathSymbol{\ngeqq}{\mathrel}{arrows}{217}
\DeclareMathSymbol{\precneqq}{\mathrel}{arrows}{233}
\DeclareMathSymbol{\succneqq}{\mathrel}{arrows}{234}
\DeclareMathSymbol{\precnapprox}{\mathrel}{arrows}{237}
\DeclareMathSymbol{\succnapprox}{\mathrel}{arrows}{238}
\DeclareMathSymbol{\lnapprox}{\mathrel}{arrows}{227}
\DeclareMathSymbol{\gnapprox}{\mathrel}{arrows}{228}
\DeclareMathSymbol{\nsim}{\mathrel}{arrows}{150}
\DeclareMathSymbol{\ncong}{\mathrel}{arrows}{153}
\DeclareMathSymbol{\diagup}{\mathrel}{arrows}{11}
\DeclareMathSymbol{\diagdown}{\mathrel}{arrows}{12}
\DeclareMathSymbol{\varsubsetneq}{\mathrel}{arrows}{208}
\DeclareMathSymbol{\varsupsetneq}{\mathrel}{arrows}{209}
\DeclareMathSymbol{\nsubseteqq}{\mathrel}{arrows}{202}
\DeclareMathSymbol{\nsupseteqq}{\mathrel}{arrows}{203}
\DeclareMathSymbol{\subsetneqq}{\mathrel}{arrows}{206}
\DeclareMathSymbol{\supsetneqq}{\mathrel}{arrows}{207}
\DeclareMathSymbol{\varsubsetneqq}{\mathrel}{arrows}{210}
\DeclareMathSymbol{\varsupsetneqq}{\mathrel}{arrows}{211}
\DeclareMathSymbol{\subsetneq}{\mathrel}{arrows}{204}
\DeclareMathSymbol{\supsetneq}{\mathrel}{arrows}{205}
\DeclareMathSymbol{\nsubseteq}{\mathrel}{arrows}{200}
\DeclareMathSymbol{\nsupseteq}{\mathrel}{arrows}{201}
\DeclareMathSymbol{\nparallel}{\mathrel}{arrows}{247}
\DeclareMathSymbol{\nmid}{\mathrel}{arrows}{246}
\DeclareMathSymbol{\nshortmid}{\mathrel}{arrows}{244}
\DeclareMathSymbol{\nshortparallel}{\mathrel}{arrows}{245}
\DeclareMathSymbol{\nvdash}{\mathrel}{arrows}{248}
\DeclareMathSymbol{\nVdash}{\mathrel}{arrows}{250}
\DeclareMathSymbol{\nvDash}{\mathrel}{arrows}{249}
\DeclareMathSymbol{\nVDash}{\mathrel}{arrows}{251}
\DeclareMathSymbol{\ntrianglerighteq}{\mathrel}{arrows}{242}
\DeclareMathSymbol{\ntrianglelefteq}{\mathrel}{arrows}{241}
\DeclareMathSymbol{\ntriangleleft}{\mathrel}{arrows}{239}
\DeclareMathSymbol{\ntriangleright}{\mathrel}{arrows}{240}
\DeclareMathSymbol{\nleftarrow}{\mathrel}{arrows}{50}
\DeclareMathSymbol{\nrightarrow}{\mathrel}{arrows}{51}
\DeclareMathSymbol{\nLeftarrow}{\mathrel}{arrows}{102}
\DeclareMathSymbol{\nRightarrow}{\mathrel}{arrows}{104}
\DeclareMathSymbol{\nLeftrightarrow}{\mathrel}{arrows}{103}
\DeclareMathSymbol{\nleftrightarrow}{\mathrel}{arrows}{52}
\DeclareMathSymbol{\divideontimes}{\mathbin}{letters}{247}
\DeclareMathSymbol{\varnothing}{\mathord}{letters}{156}
\DeclareMathSymbol{\nexists}{\mathord}{arrows}{32}
\DeclareMathSymbol{\Finv}{\mathord}{letters}{144}
\DeclareMathSymbol{\Game}{\mathord}{letters}{145}
\let\mho\undefined
\DeclareMathSymbol{\mho}{\mathord}{letters}{146}
\DeclareMathSymbol{\simeq}{\mathrel}{symbols}{39}
\DeclareMathSymbol{\eqsim}{\mathrel}{symbols}{153}
\DeclareMathSymbol{\beth}{\mathord}{letters}{149}
\DeclareMathSymbol{\gimel}{\mathord}{letters}{150}
\DeclareMathSymbol{\daleth}{\mathord}{letters}{151}
\DeclareMathSymbol{\lessdot}{\mathrel}{letters}{220}
\DeclareMathSymbol{\gtrdot}{\mathrel}{letters}{221}
\DeclareMathSymbol{\ltimes}{\mathbin}{letters}{206}
\DeclareMathSymbol{\rtimes}{\mathbin}{letters}{207}
\DeclareMathSymbol{\shortmid}{\mathrel}{letters}{244}
\DeclareMathSymbol{\shortparallel}{\mathrel}{letters}{245}
\DeclareMathSymbol{\smallsetminus}{\mathbin}{letters}{216} %?
\DeclareMathSymbol{\thicksim}{\mathrel}{symbols}{24} %?
\DeclareMathSymbol{\thickapprox}{\mathrel}{symbols}{25} %?
\DeclareMathSymbol{\approxeq}{\mathrel}{symbols}{157}
\DeclareMathSymbol{\succapprox}{\mathrel}{letters}{237}
\DeclareMathSymbol{\precapprox}{\mathrel}{letters}{236}
\DeclareMathSymbol{\curvearrowleft}{\mathrel}{arrows}{135}
\DeclareMathSymbol{\curvearrowright}{\mathrel}{arrows}{136}
\DeclareMathSymbol{\digamma}{\mathord}{letters}{70} %?
\DeclareMathSymbol{\varkappa}{\mathord}{letters}{155}
\DeclareMathSymbol{\Bbbk}{\mathord}{arrows}{107}
\DeclareMathSymbol{\hslash}{\mathord}{letters}{157}
\DeclareMathSymbol{\hbar}{\mathord}{arrows}{27}
\DeclareMathSymbol{\backepsilon}{\mathrel}{letters}{251} %?
\DeclareMathSymbol{\dashrightarrow}{\mathord}{arrows}{58}
\DeclareMathSymbol{\dashleftarrow}{\mathord}{arrows}{56}
\DeclareMathSymbol{\dashuparrow}{\mathord}{arrows}{57}
\DeclareMathSymbol{\dashdownarrow}{\mathord}{arrows}{59}
\DeclareMathDelimiter\ulcorner{\mathopen}{arrows}{91}{arrows}{91}
\DeclareMathDelimiter\urcorner{\mathclose}{arrows}{92}{arrows}{92}
\DeclareMathDelimiter\llcorner{\mathopen}{arrows}{93}{arrows}{93}
\DeclareMathDelimiter\lrcorner{\mathclose}{arrows}{94}{arrows}{94}
\edef\checkmark{\noexpand\mathhexbox{\hexnumber@\symarrows}AC}
\edef\circledR{\noexpand\mathhexbox{\hexnumber@\symletters}C9}
\edef\maltese{\noexpand\mathhexbox{\hexnumber@\symletters}CB}
\let\Leftrightarrow\undefined
\DeclareMathSymbol{\Leftrightarrow}{\mathrel}{arrows}{97}
%\def\AmSfont{\usefont{OMS}{hlcy}{m}{n}}

\endinput
%%
%% End of file `lucbmath.sty'.