%% 
%% This is file `lucbr.sty',
%% generated with the docstrip utility.
%% 
%% The original source files were:
%% 
%% lucida.dtx  (with options: `lucidabright,lucbmath')
%% Copyright (C) 1993 Sebastian Rahtz. All rights reserved. 
%% This is a generated file for *PSNFSS2e*. Permission is granted to to 
%% customize the declarations in this file to serve the needs of your 
%% installation. However, no permission is granted to distribute a 
%% modified version of this file under its original name. 
%% 
\def\fileversion{5.00}
\def\filedate{1997/01/27}
\def\docdate {1995/02/19}
\ProvidesPackage{lucbr}[\filedate\space\fileversion\space
 Lucida Bright PSNFSS2e package]
\newif\iflucida@expert
\DeclareOption{kb}{% this is for Berry-type font names
\def\Lucida@names{0}}
\DeclareOption{yy}{% this is for Y\&Y font names
\def\Lucida@names{1}}
\DeclareOption{expert}{% we have expert set
\lucida@experttrue}
\DeclareOption{noexpert}{% we do not have expert set
\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{oldlfont}{%
\AtBeginDocument{%
 \let\math@bgroup\@empty
 \let\math@egroup\@empty
 \let \@@math@bgroup \math@bgroup
 \let \@@math@egroup \math@egroup
 \let\mit\undefined
 \let\cal\undefined
 \DeclareSymbolFontAlphabet{\mit}{letters}%
 \DeclareSymbolFontAlphabet{\cal}{symbols}%
 \DeclareRobustCommand\rm{\normalfont\rmfamily\mathgroup\symoperators}%
 \DeclareRobustCommand\bf{\normalfont\bfseries\mathgroup\symbold}%
 \DeclareRobustCommand\it{\normalfont\itshape\mathgroup\symitalic}%
 \DeclareRobustCommand\tt{\normalfont\ttfamily\mathgroup\symtypewriter}%
 \DeclareRobustCommand\em{%
   \@nomath\em
   \ifdim \fontdimen\@ne\font>\z@\rm\else\it\fi}%
 \def\@setfontsize##1##2##3{\@nomath##1%
    \ifx\protect\@typeset@protect
      \let\@currsize##1%
    \fi
    \fontsize{##2}{##3}\normalfont}%
 \let\not@math@alphabet\@gobbletwo
 }
}
\ExecuteOptions{kb,expert,lucidascale}
\ProcessOptions
\ifnum\Lucida@names=0
 \renewcommand{\sfdefault}{hls}
 \renewcommand{\rmdefault}{hlh}
 \renewcommand{\ttdefault}{hlst}
 \DeclareFontEncoding{LMR}{}{}
 \DeclareFontSubstitution{LMR}{hlcm}{m}{n}
 \DeclareSymbolFont{letters}{OML}{hlcm}{m}{it}
\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}{it}
 \SetSymbolFont{mathupright}{bold}{OML}{hlcm}{b}{n}
 \SetSymbolFont{symbols}{bold}{OMS}{hlcy}{b}{n}
\fi
 \DeclareSymbolFont{italics}{\encodingdefault}{\rmdefault}{m}{it}
 \DeclareSymbolFont{arrows}{LMR}{hlcm}{m}{n}
\iflucida@expert
 \DeclareSymbolFont{boldarrows}{LMR}{hlcm}{b}{n}
\fi
\else
 \renewcommand{\sfdefault}{lbs}
 \renewcommand{\rmdefault}{lb}
 \renewcommand{\ttdefault}{lbt}
 \def\encodingdefault{OT1}\fontencoding{OT1}\selectfont
 \DeclareFontEncoding{LMR}{}{}
 \DeclareFontSubstitution{LMR}{lbm}{m}{n}
 \DeclareSymbolFont{letters}{OML}{lbm}{m}{it}
\iflucida@expert
 \DeclareSymbolFont{mathupright}{OML}{lbm}{m}{n}
\fi
 \DeclareSymbolFont{symbols}{OMS}{lby}{m}{n}
 \DeclareSymbolFont{largesymbols}{OMX}{lbv}{m}{n}
\iflucida@expert
 \SetSymbolFont{letters}{bold}{OML}{lbm}{b}{it}
 \SetSymbolFont{mathupright}{bold}{OML}{lbm}{b}{n}
 \SetSymbolFont{symbols}{bold}{OMS}{lby}{b}{n}
\fi
 \DeclareSymbolFont{italics}{\encodingdefault}{\rmdefault}{m}{it}
 \DeclareSymbolFont{arrows}{LMR}{lbm}{m}{n}
\iflucida@expert
 \DeclareSymbolFont{boldarrows}{LMR}{lbm}{b}{n}
\fi

\DeclareSymbolFont{operators}{OT1}{\rmdefault}{m}{n}
\SetSymbolFont{operators}{bold}{OT1}{\rmdefault}{b}{n}%
\SetSymbolFont{operators}{normal}{OT1}{\rmdefault}{m}{n}%
\DeclareMathAlphabet      {\mathbf}{\encodingdefault}{\rmdefault}{b}{n}%
\DeclareMathAlphabet      {\mathrm}{\encodingdefault}{\rmdefault}{m}{n}%
\DeclareMathAlphabet      {\mathsf}{\encodingdefault}{\sfdefault}{m}{n}%
\DeclareMathAlphabet      {\mathit}{\encodingdefault}{\rmdefault}{m}{it}%
\DeclareMathAlphabet      {\mathtt}{\encodingdefault}{\ttdefault}{m}{n}%
\SetMathAlphabet{\mathbf}{bold}{\encodingdefault}{\rmdefault}{b}{n}%
\SetMathAlphabet{\mathsf}{bold}{\encodingdefault}{\sfdefault}{b}{n}%
\SetMathAlphabet{\mathrm}{bold}{\encodingdefault}{\rmdefault}{b}{n}%
\SetMathAlphabet{\mathit}{bold}{\encodingdefault}{\rmdefault}{b}{it}%
\SetMathAlphabet{\mathtt}{bold}{\encodingdefault}{\ttdefault}{b}{n}%
\DeclareSymbolFontAlphabet{\mathbb}{arrows}
\DeclareSymbolFontAlphabet{\mathscr}{symbols}
\iflucida@expert
  \DeclareSymbolFontAlphabet{\mathup}{mathupright}
\fi
\AtBeginDocument{%
\@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}
\mathcode`\[="4186 \delcode`\[="186302
\mathcode`\]="5187 \delcode`\]="187303
\mathcode`\(="4184 \delcode`\(="184300
\mathcode`\)="5185 \delcode`\)="185301
\mathcode`\=="3283
\mathcode`\+="2282
\mathcode`\/="013D \delcode`\/="13D30E
\def\ldbrack{\delimiter"4182382 }
\def\rdbrack{\delimiter"5183383 }
\DeclareMathSymbol{\surfintop}{1}{largesymbols}{144}}
\def\surfint{\surfintop\nolimits}
\DeclareMathSymbol{\midintop}{1}{largesymbols}{146}}
\def\midint{\midintop\nolimits}
\DeclareMathSymbol{\midointop}{1}{largesymbols}{147}}
\def\midoint{\midointop\nolimits}
\DeclareMathSymbol{\midsurfintop}{1}{largesymbols}{148}}
\def\midsurfint{\midsurfintop\nolimits}
\def\largeint{\delimiter"135A395 }
\def\joinrel{\mathrel{\mkern-4mu}} % \def\joinrel{\mathrel{\mkern-3mu}}
\def\relbar{\mathrel{\smash{\mathchar"3\hexnumber@\symarrows 2D}}\mathrel{\mkern-2.5mu}}
\def\Relbar{\mathrel{\mathchar"3\hexnumber@\symarrows 3D}\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}
\let\bowtie\undefined
\let\models\undefined
\let\doteq\undefined
\let\cong\undefined
\let\angle\undefined
\DeclareMathSymbol{\bowtie}{3}{letters}{246}}
\DeclareMathSymbol{\models}{3}{symbols}{238}}
\DeclareMathSymbol{\doteq}{3}{symbols}{201}}
\DeclareMathSymbol{\cong}{3}{symbols}{155}}
\DeclareMathSymbol{\angle}{0}{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}{3}{arrows}{148}}
\DeclareMathSymbol{\rightleftharpoons}{3}{arrows}{122}}
\DeclareMathSymbol{\leftrightharpoons}{3}{arrows}{121}}
\DeclareMathSymbol{\hookleftarrow}{3}{arrows}{60}}
\DeclareMathSymbol{\hookrightarrow}{3}{arrows}{62}}
\DeclareMathSymbol{\mapsto}{3}{arrows}{44}}
\def\longmapsto{\mapstochar\longrightarrow}
\let\Join\undefined
\let\rhd\undefined
\let\lhd\undefined
\let\unrhd\undefined
\let\unlhd\undefined
\DeclareMathSymbol{\Join}{3}{letters}{246}}
\DeclareMathSymbol{\rhd}{3}{letters}{46}}
\DeclareMathSymbol{\lhd}{3}{letters}{47}}
\DeclareMathSymbol{\unlhd}{3}{symbols}{244}}
\DeclareMathSymbol{\unrhd}{3}{symbols}{245}}
\DeclareMathSymbol{\Box}{0}{arrows}{2}}
\DeclareMathSymbol{\Diamond}{0}{arrows}{8}}
\DeclareMathSymbol{\leadsto}{3}{arrows}{142}}
\DeclareMathSymbol{\leadsfrom}{3}{arrows}{141}}
\def\mathstrut{\vphantom{f}}
\AtBeginDocument{%
 \@ifpackageloaded{amstex}{}{%
  \@ifpackageloaded{amsmath}{}{%
  \def\matrix#1{\null\,\vcenter{\normalbaselines\m@th
    \ialign{\hfil$##$\hfil&&\quad\hfil$##$\hfil\crcr
      \mathstrut\crcr\noalign{\kern-0.9\baselineskip}
     #1\crcr\mathstrut\crcr\noalign{\kern-0.9\baselineskip}}}\,}%
   }%
 }%
}
\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}{3}{symbols}{214}}
\DeclareMathSymbol{\notleq}{3}{arrows}{156}}
\DeclareMathSymbol{\notgeq}{3}{arrows}{157}}
\DeclareMathSymbol{\notequiv}{3}{arrows}{149}}
\DeclareMathSymbol{\notprec}{3}{arrows}{229}}
\DeclareMathSymbol{\notsucc}{3}{arrows}{230}}
\DeclareMathSymbol{\notapprox}{3}{arrows}{152}}
\DeclareMathSymbol{\notpreceq}{3}{arrows}{231}}
\DeclareMathSymbol{\notsucceq}{3}{arrows}{232}}
\DeclareMathSymbol{\notasymp}{3}{arrows}{243}}
\DeclareMathSymbol{\notsubset}{3}{arrows}{198}}
\DeclareMathSymbol{\notsupset}{3}{arrows}{199}}
\DeclareMathSymbol{\notsim}{3}{arrows}{150}}
\DeclareMathSymbol{\notsubseteq}{3}{arrows}{200}}
\DeclareMathSymbol{\notsupseteq}{3}{arrows}{201}}
\DeclareMathSymbol{\notsimeq}{3}{arrows}{151}}
\DeclareMathSymbol{\notsqsubseteq}{3}{arrows}{212}}
\DeclareMathSymbol{\notsqsupseteq}{3}{arrows}{213}}
\DeclareMathSymbol{\notcong}{3}{arrows}{153}}
\DeclareMathSymbol{\notin}{3}{arrows}{29}}
\DeclareMathSymbol{\notni}{3}{arrows}{31}}
\DeclareMathSymbol{\notvdash}{3}{arrows}{248}}
\DeclareMathSymbol{\notmodels}{3}{arrows}{249}}
\DeclareMathSymbol{\notparallel}{3}{arrows}{247}}
\DeclareMathSymbol{\noteq}{3}{arrows}{148}}
\DeclareMathSymbol{\notless}{3}{arrows}{154}}
\DeclareMathSymbol{\notgreater}{3}{arrows}{155}}
\DeclareMathSymbol{\notmid}{3}{arrows}{246}}
\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}
  \DeclareMathSymbol{\upalpha}{\mathord}{mathupright}{11}
  \DeclareMathSymbol{\upbeta}{\mathord}{mathupright}{12}
  \DeclareMathSymbol{\upgamma}{\mathord}{mathupright}{13}
  \DeclareMathSymbol{\updelta}{\mathord}{mathupright}{14}
  \DeclareMathSymbol{\upepsilon}{\mathord}{mathupright}{15}
  \DeclareMathSymbol{\upzeta}{\mathord}{mathupright}{16}
  \DeclareMathSymbol{\upeta}{\mathord}{mathupright}{17}
  \DeclareMathSymbol{\uptheta}{\mathord}{mathupright}{18}
  \DeclareMathSymbol{\upiota}{\mathord}{mathupright}{19}
  \DeclareMathSymbol{\upkappa}{\mathord}{mathupright}{20}
  \DeclareMathSymbol{\uplambda}{\mathord}{mathupright}{21}
  \DeclareMathSymbol{\upmu}{\mathord}{mathupright}{22}
  \DeclareMathSymbol{\upnu}{\mathord}{mathupright}{23}
  \DeclareMathSymbol{\upxi}{\mathord}{mathupright}{24}
  \DeclareMathSymbol{\uppi}{\mathord}{mathupright}{25}
  \DeclareMathSymbol{\uprho}{\mathord}{mathupright}{26}
  \DeclareMathSymbol{\upsigma}{\mathord}{mathupright}{27}
  \DeclareMathSymbol{\uptau}{\mathord}{mathupright}{28}
  \DeclareMathSymbol{\upupsilon}{\mathord}{mathupright}{29}
  \DeclareMathSymbol{\upphi}{\mathord}{mathupright}{30}
  \DeclareMathSymbol{\upchi}{\mathord}{mathupright}{31}
  \DeclareMathSymbol{\uppsi}{\mathord}{mathupright}{32}
  \DeclareMathSymbol{\upomega}{\mathord}{mathupright}{33}
  \DeclareMathSymbol{\upvarepsilon}{\mathord}{mathupright}{34}
\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{\varDigamma}{\mathalpha}{letters}{0}}
\DeclareMathSymbol{\varDelta}{\mathalpha}{letters}{1}}
\DeclareMathSymbol{\varTheta}{\mathalpha}{letters}{2}}
\DeclareMathSymbol{\varLambda}{\mathalpha}{letters}{3}}
\DeclareMathSymbol{\varXi}{\mathalpha}{letters}{4}}
\DeclareMathSymbol{\varPi}{\mathalpha}{letters}{5}}
\DeclareMathSymbol{\varSigma}{\mathalpha}{letters}{6}}
\DeclareMathSymbol{\varUpsilon}{\mathalpha}{letters}{7}}
\DeclareMathSymbol{\varPhi}{\mathalpha}{letters}{8}}
\DeclareMathSymbol{\varPsi}{\mathalpha}{letters}{9}}
\DeclareMathSymbol{\varOmega}{\mathalpha}{letters}{10}}
\DeclareMathSymbol{\boxdot}{2}{symbols}{237}}
\DeclareMathSymbol{\boxplus}{2}{symbols}{234}}
\DeclareMathSymbol{\boxtimes}{2}{symbols}{236}}
\DeclareMathSymbol{\square}{0}{arrows}{2}}
\DeclareMathSymbol{\blacksquare}{0}{arrows}{3}}
\DeclareMathSymbol{\centerdot}{2}{arrows}{225}}
\DeclareMathSymbol{\lozenge}{0}{arrows}{8}}
\DeclareMathSymbol{\blacklozenge}{0}{arrows}{9}}
\DeclareMathSymbol{\circlearrowright}{3}{arrows}{140}}
\DeclareMathSymbol{\circlearrowleft}{3}{arrows}{139}}
\DeclareMathSymbol{\rightleftharpoons}{3}{arrows}{122}}
\DeclareMathSymbol{\leftrightharpoons}{3}{arrows}{121}}
\DeclareMathSymbol{\boxminus}{2}{symbols}{235}}
\DeclareMathSymbol{\Vdash}{3}{symbols}{240}}
\DeclareMathSymbol{\Vvdash}{3}{letters}{211}}
\DeclareMathSymbol{\vDash}{3}{symbols}{238}}
\DeclareMathSymbol{\twoheadrightarrow}{3}{arrows}{37}}
\DeclareMathSymbol{\twoheadleftarrow}{3}{arrows}{35}}
\DeclareMathSymbol{\leftleftarrows}{3}{arrows}{113}}
\DeclareMathSymbol{\rightrightarrows}{3}{arrows}{115}}
\DeclareMathSymbol{\upuparrows}{3}{arrows}{114}}
\DeclareMathSymbol{\downdownarrows}{3}{arrows}{116}}
\DeclareMathSymbol{\upharpoonright}{3}{arrows}{117}}
\DeclareMathSymbol{\downharpoonright}{3}{arrows}{119}}
\DeclareMathSymbol{\upharpoonleft}{3}{arrows}{118}}
\DeclareMathSymbol{\downharpoonleft}{3}{arrows}{120}}
\DeclareMathSymbol{\rightarrowtail}{3}{arrows}{41}}
\DeclareMathSymbol{\leftarrowtail}{3}{arrows}{40}}
\DeclareMathSymbol{\leftrightarrows}{3}{arrows}{110}}
\DeclareMathSymbol{\rightleftarrows}{3}{arrows}{109}}
\DeclareMathSymbol{\Lsh}{3}{arrows}{123}}
\DeclareMathSymbol{\Rsh}{3}{arrows}{125}}
\DeclareMathSymbol{\rightsquigarrow}{3}{arrows}{142}}
\DeclareMathSymbol{\leftsquigarrow}{3}{arrows}{141}}
\DeclareMathSymbol{\leftrightsquigarrow}{3}{arrows}{145}}
\DeclareMathSymbol{\looparrowleft}{3}{arrows}{63}}
\DeclareMathSymbol{\looparrowright}{3}{arrows}{64}}
\DeclareMathSymbol{\circeq}{3}{symbols}{208}}
\DeclareMathSymbol{\succsim}{3}{symbols}{225}}
\DeclareMathSymbol{\gtrsim}{3}{symbols}{221}}
\DeclareMathSymbol{\gtrapprox}{3}{letters}{219}}
\DeclareMathSymbol{\multimap}{3}{letters}{199}}
\DeclareMathSymbol{\image}{3}{letters}{198}}
\DeclareMathSymbol{\original}{3}{letters}{197}}
\DeclareMathSymbol{\therefore}{3}{symbols}{144}}
\DeclareMathSymbol{\because}{3}{symbols}{145}}
\DeclareMathSymbol{\doteqdot}{3}{symbols}{202}}
\DeclareMathSymbol{\triangleq}{3}{symbols}{213}}
\DeclareMathSymbol{\precsim}{3}{symbols}{224}}
\DeclareMathSymbol{\lesssim}{3}{symbols}{220}}
\DeclareMathSymbol{\lessapprox}{3}{letters}{218}}
\DeclareMathSymbol{\eqslantless}{3}{letters}{226}}
\DeclareMathSymbol{\eqslantgtr}{3}{letters}{227}}
\DeclareMathSymbol{\curlyeqprec}{3}{letters}{230}}
\DeclareMathSymbol{\curlyeqsucc}{3}{letters}{231}}
\DeclareMathSymbol{\preccurlyeq}{3}{letters}{228}}
\DeclareMathSymbol{\leqq}{3}{symbols}{218}}
\DeclareMathSymbol{\leqslant}{3}{letters}{224}}
\DeclareMathSymbol{\lessgtr}{3}{symbols}{222}}
\DeclareMathSymbol{\backprime}{0}{letters}{200}}
\DeclareMathSymbol{\axisshort}{0}{arrows}{57}}
\DeclareMathSymbol{\risingdotseq}{3}{symbols}{204}}
\DeclareMathSymbol{\fallingdotseq}{3}{symbols}{203}}
\DeclareMathSymbol{\succcurlyeq}{3}{letters}{229}}
\DeclareMathSymbol{\geqq}{3}{symbols}{219}}
\DeclareMathSymbol{\geqslant}{3}{letters}{225}}
\DeclareMathSymbol{\gtrless}{3}{symbols}{223}}
\let\sqsubset\undefined
\let\sqsupset\undefined
\DeclareMathSymbol{\sqsubset}{3}{symbols}{228}}
\DeclareMathSymbol{\sqsupset}{3}{symbols}{229}}
\DeclareMathSymbol{\vartriangleright}{3}{letters}{46}}
\DeclareMathSymbol{\vartriangleleft}{3}{letters}{47}}
\DeclareMathSymbol{\trianglerighteq}{3}{symbols}{245}}
\DeclareMathSymbol{\trianglelefteq}{3}{symbols}{244}}
\DeclareMathSymbol{\bigstar}{0}{arrows}{171}}
\DeclareMathSymbol{\between}{3}{letters}{242}}
\DeclareMathSymbol{\blacktriangledown}{0}{arrows}{7}}
\DeclareMathSymbol{\blacktriangleright}{3}{letters}{241}}
\DeclareMathSymbol{\blacktriangleleft}{3}{letters}{240}}
\DeclareMathSymbol{\arrowaxisright}{0}{arrows}{55}}
\DeclareMathSymbol{\arrowaxisleft}{0}{arrows}{54}}
\DeclareMathSymbol{\vartriangle}{3}{arrows}{4}}
\DeclareMathSymbol{\blacktriangle}{0}{arrows}{5}}
\DeclareMathSymbol{\triangledown}{0}{arrows}{6}}
\DeclareMathSymbol{\eqcirc}{3}{symbols}{207}}
\DeclareMathSymbol{\lesseqgtr}{3}{letters}{232}}
\DeclareMathSymbol{\gtreqless}{3}{letters}{233}}
\DeclareMathSymbol{\lesseqqgtr}{3}{letters}{234}}
\DeclareMathSymbol{\gtreqqless}{3}{letters}{235}}
\DeclareMathSymbol{\Rrightarrow}{3}{arrows}{108}}
\DeclareMathSymbol{\Lleftarrow}{3}{arrows}{106}}
\DeclareMathSymbol{\veebar}{2}{letters}{210}}
\DeclareMathSymbol{\barwedge}{2}{symbols}{246}}
\DeclareMathSymbol{\angle}{0}{symbols}{139}}
\DeclareMathSymbol{\measuredangle}{0}{symbols}{140}}
\DeclareMathSymbol{\sphericalangle}{0}{symbols}{141}}
\DeclareMathSymbol{\varpropto}{3}{symbols}{47}} % ?
\DeclareMathSymbol{\smallsmile}{3}{letters}{94}} % ?
\DeclareMathSymbol{\smallfrown}{3}{letters}{95}} % ?
\DeclareMathSymbol{\Subset}{3}{symbols}{248}}
\DeclareMathSymbol{\Supset}{3}{symbols}{249}}
\DeclareMathSymbol{\Cup}{2}{symbols}{250}}
\DeclareMathSymbol{\Cap}{2}{symbols}{251}}
\DeclareMathSymbol{\curlywedge}{2}{symbols}{132}}
\DeclareMathSymbol{\curlyvee}{2}{symbols}{133}}
\DeclareMathSymbol{\leftthreetimes}{2}{letters}{208}}
\DeclareMathSymbol{\rightthreetimes}{2}{letters}{209}}
\DeclareMathSymbol{\subseteqq}{3}{letters}{238}}
\DeclareMathSymbol{\supseteqq}{3}{letters}{239}}
\DeclareMathSymbol{\bumpeq}{3}{symbols}{200}}
\DeclareMathSymbol{\Bumpeq}{3}{symbols}{199}}
\DeclareMathSymbol{\lll}{3}{letters}{222}}
\DeclareMathSymbol{\ggg}{3}{letters}{223}}
\DeclareMathSymbol{\circledS}{0}{letters}{202}}
\DeclareMathSymbol{\pitchfork}{3}{letters}{243}}
\DeclareMathSymbol{\dotplus}{2}{symbols}{137}}
\DeclareMathSymbol{\backsim}{3}{letters}{248}}
\DeclareMathSymbol{\backsimeq}{3}{letters}{249}}
\DeclareMathSymbol{\complement}{0}{letters}{148}}
\DeclareMathSymbol{\intercal}{2}{letters}{217}}
\DeclareMathSymbol{\circledcirc}{2}{symbols}{230}}
\DeclareMathSymbol{\circledast}{2}{symbols}{231}}
\DeclareMathSymbol{\circleddash}{2}{letters}{204}}
\DeclareMathSymbol{\lvertneqq}{3}{arrows}{222}}
\DeclareMathSymbol{\gvertneqq}{3}{arrows}{223}}
\DeclareMathSymbol{\nleq}{3}{arrows}{156}}
\DeclareMathSymbol{\ngeq}{3}{arrows}{157}}
\DeclareMathSymbol{\nless}{3}{arrows}{154}}
\DeclareMathSymbol{\ngtr}{3}{arrows}{155}}
\DeclareMathSymbol{\nprec}{3}{arrows}{229}}
\DeclareMathSymbol{\nsucc}{3}{arrows}{230}}
\DeclareMathSymbol{\lneqq}{3}{arrows}{220}}
\DeclareMathSymbol{\gneqq}{3}{arrows}{221}}
\DeclareMathSymbol{\nleqslant}{3}{arrows}{214}}
\DeclareMathSymbol{\ngeqslant}{3}{arrows}{215}}
\DeclareMathSymbol{\lneq}{3}{arrows}{218}}
\DeclareMathSymbol{\gneq}{3}{arrows}{219}}
\DeclareMathSymbol{\npreceq}{3}{arrows}{231}}
\DeclareMathSymbol{\nsucceq}{3}{arrows}{232}}
\DeclareMathSymbol{\precnsim}{3}{arrows}{235}}
\DeclareMathSymbol{\succnsim}{3}{arrows}{236}}
\DeclareMathSymbol{\lnsim}{3}{arrows}{224}}
\DeclareMathSymbol{\gnsim}{3}{arrows}{226}}
\DeclareMathSymbol{\nleqq}{3}{arrows}{216}}
\DeclareMathSymbol{\ngeqq}{3}{arrows}{217}}
\DeclareMathSymbol{\precneqq}{3}{arrows}{233}}
\DeclareMathSymbol{\succneqq}{3}{arrows}{234}}
\DeclareMathSymbol{\precnapprox}{3}{arrows}{237}}
\DeclareMathSymbol{\succnapprox}{3}{arrows}{238}}
\DeclareMathSymbol{\lnapprox}{3}{arrows}{227}}
\DeclareMathSymbol{\gnapprox}{3}{arrows}{228}}
\DeclareMathSymbol{\nsim}{3}{arrows}{150}}
\DeclareMathSymbol{\ncong}{3}{arrows}{153}}
\DeclareMathSymbol{\diagup}{3}{arrows}{11}}
\DeclareMathSymbol{\diagdown}{3}{arrows}{12}}
\DeclareMathSymbol{\varsubsetneq}{3}{arrows}{208}}
\DeclareMathSymbol{\varsupsetneq}{3}{arrows}{209}}
\DeclareMathSymbol{\nsubseteqq}{3}{arrows}{202}}
\DeclareMathSymbol{\nsupseteqq}{3}{arrows}{203}}
\DeclareMathSymbol{\subsetneqq}{3}{arrows}{206}}
\DeclareMathSymbol{\supsetneqq}{3}{arrows}{207}}
\DeclareMathSymbol{\varsubsetneqq}{3}{arrows}{210}}
\DeclareMathSymbol{\varsupsetneqq}{3}{arrows}{211}}
\DeclareMathSymbol{\subsetneq}{3}{arrows}{204}}
\DeclareMathSymbol{\supsetneq}{3}{arrows}{205}}
\DeclareMathSymbol{\nsubseteq}{3}{arrows}{200}}
\DeclareMathSymbol{\nsupseteq}{3}{arrows}{201}}
\DeclareMathSymbol{\nparallel}{3}{arrows}{247}}
\DeclareMathSymbol{\nmid}{3}{arrows}{246}}
\DeclareMathSymbol{\nshortmid}{3}{arrows}{244}}
\DeclareMathSymbol{\nshortparallel}{3}{arrows}{245}}
\DeclareMathSymbol{\nvdash}{3}{arrows}{248}}
\DeclareMathSymbol{\nVdash}{3}{arrows}{250}}
\DeclareMathSymbol{\nvDash}{3}{arrows}{249}}
\DeclareMathSymbol{\nVDash}{3}{arrows}{251}}
\DeclareMathSymbol{\ntrianglerighteq}{3}{arrows}{242}}
\DeclareMathSymbol{\ntrianglelefteq}{3}{arrows}{241}}
\DeclareMathSymbol{\ntriangleleft}{3}{arrows}{239}}
\DeclareMathSymbol{\ntriangleright}{3}{arrows}{240}}
\DeclareMathSymbol{\nleftarrow}{3}{arrows}{50}}
\DeclareMathSymbol{\nrightarrow}{3}{arrows}{51}}
\DeclareMathSymbol{\nLeftarrow}{3}{arrows}{102}}
\DeclareMathSymbol{\nRightarrow}{3}{arrows}{104}}
\DeclareMathSymbol{\nLeftrightarrow}{3}{arrows}{103}}
\DeclareMathSymbol{\nleftrightarrow}{3}{arrows}{52}}
\DeclareMathSymbol{\divideontimes}{2}{letters}{247}}
\DeclareMathSymbol{\varnothing}{0}{letters}{156}}
\DeclareMathSymbol{\nexists}{0}{arrows}{32}}
\DeclareMathSymbol{\Finv}{0}{letters}{144}}
\DeclareMathSymbol{\Game}{0}{letters}{145}}
\let\mho\undefined
\DeclareMathSymbol{\mho}{0}{letters}{146}}
\DeclareMathSymbol{\simeq}{3}{symbols}{39}}
\DeclareMathSymbol{\eqsim}{3}{symbols}{153}}
\DeclareMathSymbol{\beth}{0}{letters}{149}}
\DeclareMathSymbol{\gimel}{0}{letters}{150}}
\DeclareMathSymbol{\daleth}{0}{letters}{151}}
\DeclareMathSymbol{\lessdot}{3}{letters}{220}}
\DeclareMathSymbol{\gtrdot}{3}{letters}{221}}
\DeclareMathSymbol{\ltimes}{2}{letters}{206}}
\DeclareMathSymbol{\rtimes}{2}{letters}{207}}
\DeclareMathSymbol{\shortmid}{3}{letters}{244}}
\DeclareMathSymbol{\shortparallel}{3}{letters}{245}}
\DeclareMathSymbol{\smallsetminus}{2}{letters}{216}} %?
\DeclareMathSymbol{\thicksim}{3}{symbols}{24}} %?
\DeclareMathSymbol{\thickapprox}{3}{symbols}{25}} %?
\DeclareMathSymbol{\approxeq}{3}{symbols}{157}}
\DeclareMathSymbol{\succapprox}{3}{letters}{237}}
\DeclareMathSymbol{\precapprox}{3}{letters}{236}}
\DeclareMathSymbol{\curvearrowleft}{3}{arrows}{135}}
\DeclareMathSymbol{\curvearrowright}{3}{arrows}{136}}
\DeclareMathSymbol{\digamma}{0}{letters}{70}} %?
\DeclareMathSymbol{\varkappa}{0}{letters}{155}}
\DeclareMathSymbol{\Bbbk}{0}{arrows}{107}}
\DeclareMathSymbol{\hslash}{0}{letters}{157}}
\DeclareMathSymbol{\hbar}{0}{arrows}{27}}
\DeclareMathSymbol{\backepsilon}{3}{letters}{251}} %?
\DeclareMathSymbol{\dashrightarrow}{0}{arrows}{58}}
\DeclareMathSymbol{\dashleftarrow}{0}{arrows}{56}}
\DeclareMathSymbol{\dashuparrow}{0}{arrows}{57}}
\DeclareMathSymbol{\dashdownarrow}{0}{arrows}{59}}
\DeclareMathDelimiter\ulcorner{4}{arrows}{112}}{arrows}{"70}
\DeclareMathDelimiter\urcorner{5}{arrows}{113}}{arrows}{"71}
\DeclareMathDelimiter\llcorner{4}{arrows}{120}}{arrows}{"78}
\DeclareMathDelimiter\lrcorner{5}{arrows}{121}}{arrows}{"79}
\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}{3}{arrows}{97}}
\def\AmS{{\protect\AmSfont
  A\kern-.1667em\lower.5ex\hbox{M}\kern-.125emS}}
\def\AmSfont{\usefont{OMS}{\ifnum\Lucida@names=0 hlcy\else lby \fi}{m}{n}}
\endinput
%% 
%% End of file `lucbr.sty'.