%%
%% This is file `lucidabr.sty',
%% generated with the docstrip utility.
%%
%% The original source files were:
%%
%% lucidabr.dtx  (with options: `lucidabright,upalpha,varGamma,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 Sebastian Rahtz, David Carlisle
%%
\ProvidesPackage{lucidabr}
 [1997/04/17 v4.5 %
 Lucida Bright +
 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}}
\renewcommand{\rmdefault}{hlh}
\renewcommand{\sfdefault}{hls}
\renewcommand{\ttdefault}{hlst}
\renewcommand{\bfdefault}{b}
\DeclareOption{seriftt}{\def\ttdefault{hlct}}
\DeclareOption{fax}{\def\rmdefault{hlx}}
\DeclareOption{casual}{\def\rmdefault{hlcn}}
\DeclareOption{calligraphic}{%
  \normalfont
  \DeclareFontShape\encodingdefault\rmdefault{m}{it}%
                                   {<->ssub*hlce/m/it}{}}
\DeclareOption{handwriting}{%
  \normalfont
  \DeclareFontShape\encodingdefault\rmdefault{m}{it}%
                                   {<->ssub*hlcw/m/it}{}%
  \DeclareFontShape\encodingdefault\rmdefault{b}{it}%
                                   {<->ssub*hlcw/m/it}{}}
\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}{"7E}
\mathchardef\@tempb"603A
\def\@tempa{T1}
\ifx\operator@encoding\@tempa
  \DeclareMathSymbol{!}{\mathclose}{operators}{"21}
  \DeclareMathSymbol{:}{\mathrel}{operators}{"3A}
  \DeclareMathSymbol{;}{\mathpunct}{operators}{"3B}
  \DeclareMathSymbol{?}{\mathclose}{operators}{"3F}
  \ifx\colon\@tempb
    \DeclareMathSymbol{\colon}{\mathpunct}{operators}{"3A}
  \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}{"A}
\else
\def\@tempa{OT1}
\ifx\operator@encoding\@tempa
  \DeclareMathSymbol{!}{\mathclose}{operators}{"21}
  \DeclareMathSymbol{:}{\mathrel}{operators}{"3A}
  \DeclareMathSymbol{;}{\mathpunct}{operators}{"3B}
  \DeclareMathSymbol{?}{\mathclose}{operators}{"3F}
  \ifx\colon\@tempb
    \DeclareMathSymbol{\colon}{\mathpunct}{operators}{"3A}
  \fi
  \DeclareMathAccent{\acute}{\mathalpha}{operators}{"13}
  \DeclareMathAccent{\grave}{\mathalpha}{operators}{"12}
  \DeclareMathAccent{\ddot}{\mathalpha}{operators}{"7F}
  \DeclareMathAccent{\tilde}{\mathalpha}{operators}{"7E}
  \DeclareMathAccent{\bar}{\mathalpha}{operators}{"16}
  \DeclareMathAccent{\breve}{\mathalpha}{operators}{"15}
  \DeclareMathAccent{\check}{\mathalpha}{operators}{"14}
  \DeclareMathAccent{\hat}{\mathalpha}{operators}{"5E}
  \DeclareMathAccent{\dot}{\mathalpha}{operators}{"5F}
\else
\def\@tempa{LY1}
\ifx\operator@encoding\@tempa
  \DeclareMathSymbol{!}{\mathclose}{operators}{"21}
  \DeclareMathSymbol{:}{\mathrel}{operators}{"3A}
  \DeclareMathSymbol{;}{\mathpunct}{operators}{"3B}
  \DeclareMathSymbol{?}{\mathclose}{operators}{"3F}
  \ifx\colon\@tempb
      \DeclareMathSymbol{\colon}{\mathpunct}{operators}{"3A}
  \fi
  \DeclareMathAccent{\acute}{\mathalpha}{operators}{"13}
  \DeclareMathAccent{\grave}{\mathalpha}{operators}{"12}
  \DeclareMathAccent{\ddot}{\mathalpha}{operators}{"7F}
  \DeclareMathAccent{\tilde}{\mathalpha}{operators}{"7E}
  \DeclareMathAccent{\bar}{\mathalpha}{operators}{"16}
  \DeclareMathAccent{\breve}{\mathalpha}{operators}{"15}
  \DeclareMathAccent{\check}{\mathalpha}{operators}{"14}
  \DeclareMathAccent{\hat}{\mathalpha}{operators}{"5E}
  \DeclareMathAccent{\vec}{\mathord}{letters}{"7E}
  \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}{"86}
\DeclareMathDelimiter{[}{letters}{"86}{largesymbols}{"02}
\DeclareMathSymbol{]}{\mathclose}{letters}{"87}
\DeclareMathDelimiter{]}{letters}{"87}{largesymbols}{"03}
\DeclareMathSymbol{(}{\mathopen} {letters}{"84}
\DeclareMathDelimiter{(}{letters}{"84}{largesymbols}{"00}
\DeclareMathSymbol{)}{\mathclose}{letters}{"85}
\DeclareMathDelimiter{)}{letters}{"85}{largesymbols}{"01}
\DeclareMathSymbol{=}{\mathrel} {symbols}{"83}
\DeclareMathSymbol{+}{\mathbin} {symbols}{"82}
\DeclareMathSymbol{/}{\mathord} {letters}{"3D}
\DeclareMathDelimiter{/}{letters}{"3D}{largesymbols}{"0E}
\DeclareMathDelimiter{\ldbrack}
  {\mathopen}{letters}{"82}{largesymbols}{"82}
\DeclareMathDelimiter{\rdbrack}
  {\mathclose}{letters}{"83}{largesymbols}{"83}
\DeclareMathSymbol{\surfintop}{\mathop}{largesymbols}{"90}
\def\surfint{\surfintop\nolimits}
\DeclareMathSymbol{\midintop}{\mathop}{largesymbols}{"92}
\def\midint{\midintop\nolimits}
\DeclareMathSymbol{\midointop}{\mathop}{largesymbols}{"93}
\def\midoint{\midointop\nolimits}
\DeclareMathSymbol{\midsurfintop}{\mathop}{largesymbols}{"94}
\def\midsurfint{\midsurfintop\nolimits}
\DeclareMathDelimiter{\largeint}
  {\mathop}{largesymbols}{"5A}{largesymbols}{"95}
\def\joinrel{\mathrel{\mkern-4mu}} % \def\joinrel{\mathrel{\mkern-3mu}}
\DeclareMathSymbol{\relbar@}{\mathord}{arrows}{"2D}
\def\relbar{\mathrel{\smash\relbar@}\mathrel{\mkern-2.5mu}}
\DeclareMathSymbol{\Relbar@}{\mathrel}{arrows}{"3D}
\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}{"F6}
\DeclareMathSymbol{\models}{\mathrel}{symbols}{"EE}
\DeclareMathSymbol{\doteq}{\mathrel}{symbols}{"C9}
\DeclareMathSymbol{\cong}{\mathrel}{symbols}{"9B}
\DeclareMathSymbol{\angle}{\mathord}{symbols}{"8B}
\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}{"94}
\DeclareMathSymbol{\rightleftharpoons}{\mathrel}{arrows}{"7A}
\DeclareMathSymbol{\leftrightharpoons}{\mathrel}{arrows}{"79}
\DeclareMathSymbol{\hookleftarrow}{\mathrel}{arrows}{"3C}
\DeclareMathSymbol{\hookrightarrow}{\mathrel}{arrows}{"3E}
\DeclareMathSymbol{\mapsto}{\mathrel}{arrows}{"2C}
\def\longmapsto{\mapstochar\longrightarrow}
\let\Join\undefined
\let\rhd\undefined
\let\lhd\undefined
\let\unrhd\undefined
\let\unlhd\undefined
\DeclareMathSymbol{\Join}{\mathrel}{letters}{"F6}
\DeclareMathSymbol{\rhd}{\mathrel}{letters}{"2E}
\DeclareMathSymbol{\lhd}{\mathrel}{letters}{"2F}
\DeclareMathSymbol{\unlhd}{\mathrel}{symbols}{"F4}
\DeclareMathSymbol{\unrhd}{\mathrel}{symbols}{"F5}
\DeclareMathSymbol{\Box}{\mathord}{arrows}{"02}
\DeclareMathSymbol{\Diamond}{\mathord}{arrows}{"08}
\DeclareMathSymbol{\leadsto}{\mathrel}{arrows}{"8E}
\DeclareMathSymbol{\leadsfrom}{\mathrel}{arrows}{"8D}
\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}{"D6}
\DeclareMathSymbol{\notequiv}{\mathrel}{arrows}{"95}
\DeclareMathSymbol{\notapprox}{\mathrel}{arrows}{"98}
\DeclareMathSymbol{\notasymp}{\mathrel}{arrows}{"F3}
\DeclareMathSymbol{\notsubset}{\mathrel}{arrows}{"C6}
\DeclareMathSymbol{\notsupset}{\mathrel}{arrows}{"C7}
\DeclareMathSymbol{\notsim}{\mathrel}{arrows}{"96}
\DeclareMathSymbol{\notsubseteq}{\mathrel}{arrows}{"C8}
\DeclareMathSymbol{\notsupseteq}{\mathrel}{arrows}{"C9}
\DeclareMathSymbol{\notsimeq}{\mathrel}{arrows}{"97}
\DeclareMathSymbol{\notsqsubseteq}{\mathrel}{arrows}{"D4}
\DeclareMathSymbol{\notsqsupseteq}{\mathrel}{arrows}{"D5}
\DeclareMathSymbol{\notcong}{\mathrel}{arrows}{"99}
\DeclareMathSymbol{\notin}{\mathrel}{arrows}{"1D}
\DeclareMathSymbol{\notni}{\mathrel}{arrows}{"1F}
\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}{"0B}
\DeclareMathSymbol{\beta}{\mathord}{\lcgreek@alphabet}{"0C}
\DeclareMathSymbol{\gamma}{\mathord}{\lcgreek@alphabet}{"0D}
\DeclareMathSymbol{\delta}{\mathord}{\lcgreek@alphabet}{"0E}
\DeclareMathSymbol{\epsilon}{\mathord}{\lcgreek@alphabet}{"0F}
\DeclareMathSymbol{\zeta}{\mathord}{\lcgreek@alphabet}{"10}
\DeclareMathSymbol{\eta}{\mathord}{\lcgreek@alphabet}{"11}
\DeclareMathSymbol{\theta}{\mathord}{\lcgreek@alphabet}{"12}
\DeclareMathSymbol{\iota}{\mathord}{\lcgreek@alphabet}{"13}
\DeclareMathSymbol{\kappa}{\mathord}{\lcgreek@alphabet}{"14}
\DeclareMathSymbol{\lambda}{\mathord}{\lcgreek@alphabet}{"15}
\DeclareMathSymbol{\mu}{\mathord}{\lcgreek@alphabet}{"16}
\DeclareMathSymbol{\nu}{\mathord}{\lcgreek@alphabet}{"17}
\DeclareMathSymbol{\xi}{\mathord}{\lcgreek@alphabet}{"18}
\DeclareMathSymbol{\pi}{\mathord}{\lcgreek@alphabet}{"19}
\DeclareMathSymbol{\rho}{\mathord}{\lcgreek@alphabet}{"1A}
\DeclareMathSymbol{\sigma}{\mathord}{\lcgreek@alphabet}{"1B}
\DeclareMathSymbol{\tau}{\mathord}{\lcgreek@alphabet}{"1C}
\DeclareMathSymbol{\upsilon}{\mathord}{\lcgreek@alphabet}{"1D}
\DeclareMathSymbol{\phi}{\mathord}{\lcgreek@alphabet}{"1E}
\DeclareMathSymbol{\chi}{\mathord}{\lcgreek@alphabet}{"1F}
\DeclareMathSymbol{\psi}{\mathord}{\lcgreek@alphabet}{"20}
\DeclareMathSymbol{\omega}{\mathord}{\lcgreek@alphabet}{"21}
\DeclareMathSymbol{\varepsilon}{\mathord}{\lcgreek@alphabet}{"22}
\DeclareMathSymbol{\vartheta}{\mathord}{\lcgreek@alphabet}{"23}
\DeclareMathSymbol{\varpi}{\mathord}{\lcgreek@alphabet}{"24}
\DeclareMathSymbol{\varrho}{\mathord}{\lcgreek@alphabet}{"25}
\DeclareMathSymbol{\varsigma}{\mathord}{\lcgreek@alphabet}{"26}
\DeclareMathSymbol{\varphi}{\mathord}{\lcgreek@alphabet}{"27}
\ifx\upalpha\relax
  \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}
\fi
\ifx\varGamma\relax
  \DeclareMathSymbol{\varGamma}{\mathord}{letters}{"00}
  \DeclareMathSymbol{\varDelta}{\mathord}{letters}{"01}
  \DeclareMathSymbol{\varTheta}{\mathord}{letters}{"02}
  \DeclareMathSymbol{\varLambda}{\mathord}{letters}{"03}
  \DeclareMathSymbol{\varXi}{\mathord}{letters}{"04}
  \DeclareMathSymbol{\varPi}{\mathord}{letters}{"05}
  \DeclareMathSymbol{\varSigma}{\mathord}{letters}{"06}
  \DeclareMathSymbol{\varUpsilon}{\mathord}{letters}{"07}
  \DeclareMathSymbol{\varPhi}{\mathord}{letters}{"08}
  \DeclareMathSymbol{\varPsi}{\mathord}{letters}{"09}
  \DeclareMathSymbol{\varOmega}{\mathord}{letters}{"0A}
\fi
\ifx\blacksquare\endinput\endinput\fi
\DeclareMathSymbol{\boxdot}{\mathbin}{symbols}{"ED}
\DeclareMathSymbol{\boxplus}{\mathbin}{symbols}{"EA}
\DeclareMathSymbol{\boxtimes}{\mathbin}{symbols}{"EC}
\DeclareMathSymbol{\square}{\mathord}{arrows}{"02}
\DeclareMathSymbol{\blacksquare}{\mathord}{arrows}{"03}
\DeclareMathSymbol{\centerdot}{\mathbin}{arrows}{"E1}
\DeclareMathSymbol{\lozenge}{\mathord}{arrows}{"08}
\DeclareMathSymbol{\blacklozenge}{\mathord}{arrows}{"09}
\DeclareMathSymbol{\circlearrowright}{\mathrel}{arrows}{"8C}
\DeclareMathSymbol{\circlearrowleft}{\mathrel}{arrows}{"8B}
\DeclareMathSymbol{\rightleftharpoons}{\mathrel}{arrows}{"7A}
\DeclareMathSymbol{\leftrightharpoons}{\mathrel}{arrows}{"79}
\DeclareMathSymbol{\boxminus}{\mathbin}{symbols}{"EB}
\DeclareMathSymbol{\Vdash}{\mathrel}{symbols}{"F0}
\DeclareMathSymbol{\Vvdash}{\mathrel}{letters}{"D3}
\DeclareMathSymbol{\vDash}{\mathrel}{symbols}{"EE}
\DeclareMathSymbol{\twoheadrightarrow}{\mathrel}{arrows}{"25}
\DeclareMathSymbol{\twoheadleftarrow}{\mathrel}{arrows}{"23}
\DeclareMathSymbol{\leftleftarrows}{\mathrel}{arrows}{"71}
\DeclareMathSymbol{\rightrightarrows}{\mathrel}{arrows}{"73}
\DeclareMathSymbol{\upuparrows}{\mathrel}{arrows}{"72}
\DeclareMathSymbol{\downdownarrows}{\mathrel}{arrows}{"74}
\DeclareMathSymbol{\upharpoonright}{\mathrel}{arrows}{"75}
\DeclareMathSymbol{\downharpoonright}{\mathrel}{arrows}{"77}
\DeclareMathSymbol{\upharpoonleft}{\mathrel}{arrows}{"76}
\DeclareMathSymbol{\downharpoonleft}{\mathrel}{arrows}{"78}
\DeclareMathSymbol{\rightarrowtail}{\mathrel}{arrows}{"29}
\DeclareMathSymbol{\leftarrowtail}{\mathrel}{arrows}{"28}
\DeclareMathSymbol{\leftrightarrows}{\mathrel}{arrows}{"6E}
\DeclareMathSymbol{\rightleftarrows}{\mathrel}{arrows}{"6D}
\DeclareMathSymbol{\Lsh}{\mathrel}{arrows}{"7B}
\DeclareMathSymbol{\Rsh}{\mathrel}{arrows}{"7D}
\DeclareMathSymbol{\rightsquigarrow}{\mathrel}{arrows}{"8E}
\DeclareMathSymbol{\leftsquigarrow}{\mathrel}{arrows}{"8D}
\DeclareMathSymbol{\leftrightsquigarrow}{\mathrel}{arrows}{"91}
\DeclareMathSymbol{\looparrowleft}{\mathrel}{arrows}{"3F}
\DeclareMathSymbol{\looparrowright}{\mathrel}{arrows}{"40}
\DeclareMathSymbol{\circeq}{\mathrel}{symbols}{"D0}
\DeclareMathSymbol{\succsim}{\mathrel}{symbols}{"E1}
\DeclareMathSymbol{\gtrsim}{\mathrel}{symbols}{"DD}
\DeclareMathSymbol{\gtrapprox}{\mathrel}{letters}{"DB}
\DeclareMathSymbol{\multimap}{\mathrel}{letters}{"C7}
\DeclareMathSymbol{\image}{\mathrel}{letters}{"C6}
\DeclareMathSymbol{\original}{\mathrel}{letters}{"C5}
\DeclareMathSymbol{\therefore}{\mathrel}{symbols}{"90}
\DeclareMathSymbol{\because}{\mathrel}{symbols}{"91}
\DeclareMathSymbol{\doteqdot}{\mathrel}{symbols}{"CA}
\DeclareMathSymbol{\triangleq}{\mathrel}{symbols}{"D5}
\DeclareMathSymbol{\precsim}{\mathrel}{symbols}{"E0}
\DeclareMathSymbol{\lesssim}{\mathrel}{symbols}{"DC}
\DeclareMathSymbol{\lessapprox}{\mathrel}{letters}{"DA}
\DeclareMathSymbol{\eqslantless}{\mathrel}{letters}{"E2}
\DeclareMathSymbol{\eqslantgtr}{\mathrel}{letters}{"E3}
\DeclareMathSymbol{\curlyeqprec}{\mathrel}{letters}{"E6}
\DeclareMathSymbol{\curlyeqsucc}{\mathrel}{letters}{"E7}
\DeclareMathSymbol{\preccurlyeq}{\mathrel}{letters}{"E4}
\DeclareMathSymbol{\leqq}{\mathrel}{symbols}{"DA}
\DeclareMathSymbol{\leqslant}{\mathrel}{letters}{"E0}
\DeclareMathSymbol{\lessgtr}{\mathrel}{symbols}{"DE}
\DeclareMathSymbol{\backprime}{\mathord}{letters}{"C8}
\DeclareMathSymbol{\axisshort}{\mathord}{arrows}{"39}
\DeclareMathSymbol{\risingdotseq}{\mathrel}{symbols}{"CC}
\DeclareMathSymbol{\fallingdotseq}{\mathrel}{symbols}{"CB}
\DeclareMathSymbol{\succcurlyeq}{\mathrel}{letters}{"E5}
\DeclareMathSymbol{\geqq}{\mathrel}{symbols}{"DB}
\DeclareMathSymbol{\geqslant}{\mathrel}{letters}{"E1}
\DeclareMathSymbol{\gtrless}{\mathrel}{symbols}{"DF}
\let\sqsubset\undefined
\let\sqsupset\undefined
\DeclareMathSymbol{\sqsubset}{\mathrel}{symbols}{"E4}
\DeclareMathSymbol{\sqsupset}{\mathrel}{symbols}{"E5}
\DeclareMathSymbol{\vartriangleright}{\mathrel}{letters}{"2E}
\DeclareMathSymbol{\vartriangleleft}{\mathrel}{letters}{"2F}
\DeclareMathSymbol{\trianglerighteq}{\mathrel}{symbols}{"F5}
\DeclareMathSymbol{\trianglelefteq}{\mathrel}{symbols}{"F4}
\DeclareMathSymbol{\bigstar}{\mathord}{arrows}{"AB}
\DeclareMathSymbol{\between}{\mathrel}{letters}{"F2}
\DeclareMathSymbol{\blacktriangledown}{\mathord}{arrows}{"07}
\DeclareMathSymbol{\blacktriangleright}{\mathrel}{letters}{"F1}
\DeclareMathSymbol{\blacktriangleleft}{\mathrel}{letters}{"F0}
\DeclareMathSymbol{\arrowaxisright}{\mathord}{arrows}{"37}
\DeclareMathSymbol{\arrowaxisleft}{\mathord}{arrows}{"36}
\DeclareMathSymbol{\vartriangle}{\mathrel}{arrows}{"04}
\DeclareMathSymbol{\blacktriangle}{\mathord}{arrows}{"05}
\DeclareMathSymbol{\triangledown}{\mathord}{arrows}{"06}
\DeclareMathSymbol{\eqcirc}{\mathrel}{symbols}{"CF}
\DeclareMathSymbol{\lesseqgtr}{\mathrel}{letters}{"E8}
\DeclareMathSymbol{\gtreqless}{\mathrel}{letters}{"E9}
\DeclareMathSymbol{\lesseqqgtr}{\mathrel}{letters}{"EA}
\DeclareMathSymbol{\gtreqqless}{\mathrel}{letters}{"EB}
\DeclareMathSymbol{\Rrightarrow}{\mathrel}{arrows}{"6C}
\DeclareMathSymbol{\Lleftarrow}{\mathrel}{arrows}{"6A}
\DeclareMathSymbol{\veebar}{\mathbin}{letters}{"D2}
\DeclareMathSymbol{\barwedge}{\mathbin}{symbols}{"F6}
\DeclareMathSymbol{\angle}{\mathord}{symbols}{"8B}
\DeclareMathSymbol{\measuredangle}{\mathord}{symbols}{"8C}
\DeclareMathSymbol{\sphericalangle}{\mathord}{symbols}{"8D}
\DeclareMathSymbol{\varpropto}{\mathrel}{symbols}{"2F} % ?
\DeclareMathSymbol{\smallsmile}{\mathrel}{letters}{"5E} % ?
\DeclareMathSymbol{\smallfrown}{\mathrel}{letters}{"5F} % ?
\DeclareMathSymbol{\Subset}{\mathrel}{symbols}{"F8}
\DeclareMathSymbol{\Supset}{\mathrel}{symbols}{"F9}
\DeclareMathSymbol{\Cup}{\mathbin}{symbols}{"FA}
\DeclareMathSymbol{\Cap}{\mathbin}{symbols}{"FB}
\DeclareMathSymbol{\curlywedge}{\mathbin}{symbols}{"84}
\DeclareMathSymbol{\curlyvee}{\mathbin}{symbols}{"85}
\DeclareMathSymbol{\leftthreetimes}{\mathbin}{letters}{"D0}
\DeclareMathSymbol{\rightthreetimes}{\mathbin}{letters}{"D1}
\DeclareMathSymbol{\subseteqq}{\mathrel}{letters}{"EE}
\DeclareMathSymbol{\supseteqq}{\mathrel}{letters}{"EF}
\DeclareMathSymbol{\bumpeq}{\mathrel}{symbols}{"C8}
\DeclareMathSymbol{\Bumpeq}{\mathrel}{symbols}{"C7}
\DeclareMathSymbol{\lll}{\mathrel}{letters}{"DE}
\DeclareMathSymbol{\ggg}{\mathrel}{letters}{"DF}
\DeclareMathSymbol{\circledS}{\mathord}{letters}{"CA}
\DeclareMathSymbol{\pitchfork}{\mathrel}{letters}{"F3}
\DeclareMathSymbol{\dotplus}{\mathbin}{symbols}{"89}
\DeclareMathSymbol{\backsim}{\mathrel}{letters}{"F8}
\DeclareMathSymbol{\backsimeq}{\mathrel}{letters}{"F9}
\DeclareMathSymbol{\complement}{\mathord}{letters}{"94}
\DeclareMathSymbol{\intercal}{\mathbin}{letters}{"D9}
\DeclareMathSymbol{\circledcirc}{\mathbin}{symbols}{"E6}
\DeclareMathSymbol{\circledast}{\mathbin}{symbols}{"E7}
\DeclareMathSymbol{\circleddash}{\mathbin}{letters}{"CC}
\DeclareMathSymbol{\lvertneqq}{\mathrel}{arrows}{"DE}
\DeclareMathSymbol{\gvertneqq}{\mathrel}{arrows}{"DF}
\DeclareMathSymbol{\nleq}{\mathrel}{arrows}{"9C}
\DeclareMathSymbol{\ngeq}{\mathrel}{arrows}{"9D}
\DeclareMathSymbol{\nless}{\mathrel}{arrows}{"9A}
\DeclareMathSymbol{\ngtr}{\mathrel}{arrows}{"9B}
\DeclareMathSymbol{\nprec}{\mathrel}{arrows}{"E5}
\DeclareMathSymbol{\nsucc}{\mathrel}{arrows}{"E6}
\DeclareMathSymbol{\lneqq}{\mathrel}{arrows}{"DC}
\DeclareMathSymbol{\gneqq}{\mathrel}{arrows}{"DD}
\DeclareMathSymbol{\nleqslant}{\mathrel}{arrows}{"D6}
\DeclareMathSymbol{\ngeqslant}{\mathrel}{arrows}{"D7}
\DeclareMathSymbol{\lneq}{\mathrel}{arrows}{"DA}
\DeclareMathSymbol{\gneq}{\mathrel}{arrows}{"DB}
\DeclareMathSymbol{\npreceq}{\mathrel}{arrows}{"E7}
\DeclareMathSymbol{\nsucceq}{\mathrel}{arrows}{"E8}
\DeclareMathSymbol{\precnsim}{\mathrel}{arrows}{"EB}
\DeclareMathSymbol{\succnsim}{\mathrel}{arrows}{"EC}
\DeclareMathSymbol{\lnsim}{\mathrel}{arrows}{"E0}
\DeclareMathSymbol{\gnsim}{\mathrel}{arrows}{"E2}
\DeclareMathSymbol{\nleqq}{\mathrel}{arrows}{"D8}
\DeclareMathSymbol{\ngeqq}{\mathrel}{arrows}{"D9}
\DeclareMathSymbol{\precneqq}{\mathrel}{arrows}{"E9}
\DeclareMathSymbol{\succneqq}{\mathrel}{arrows}{"EA}
\DeclareMathSymbol{\precnapprox}{\mathrel}{arrows}{"ED}
\DeclareMathSymbol{\succnapprox}{\mathrel}{arrows}{"EE}
\DeclareMathSymbol{\lnapprox}{\mathrel}{arrows}{"E3}
\DeclareMathSymbol{\gnapprox}{\mathrel}{arrows}{"E4}
\DeclareMathSymbol{\nsim}{\mathrel}{arrows}{"96}
\DeclareMathSymbol{\ncong}{\mathrel}{arrows}{"99}
\DeclareMathSymbol{\diagup}{\mathrel}{arrows}{"0B}
\DeclareMathSymbol{\diagdown}{\mathrel}{arrows}{"0C}
\DeclareMathSymbol{\varsubsetneq}{\mathrel}{arrows}{"D0}
\DeclareMathSymbol{\varsupsetneq}{\mathrel}{arrows}{"D1}
\DeclareMathSymbol{\nsubseteqq}{\mathrel}{arrows}{"CA}
\DeclareMathSymbol{\nsupseteqq}{\mathrel}{arrows}{"CB}
\DeclareMathSymbol{\subsetneqq}{\mathrel}{arrows}{"CE}
\DeclareMathSymbol{\supsetneqq}{\mathrel}{arrows}{"CF}
\DeclareMathSymbol{\varsubsetneqq}{\mathrel}{arrows}{"D2}
\DeclareMathSymbol{\varsupsetneqq}{\mathrel}{arrows}{"D3}
\DeclareMathSymbol{\subsetneq}{\mathrel}{arrows}{"CC}
\DeclareMathSymbol{\supsetneq}{\mathrel}{arrows}{"CD}
\DeclareMathSymbol{\nsubseteq}{\mathrel}{arrows}{"C8}
\DeclareMathSymbol{\nsupseteq}{\mathrel}{arrows}{"C9}
\DeclareMathSymbol{\nparallel}{\mathrel}{arrows}{"F7}
\DeclareMathSymbol{\nmid}{\mathrel}{arrows}{"F6}
\DeclareMathSymbol{\nshortmid}{\mathrel}{arrows}{"F4}
\DeclareMathSymbol{\nshortparallel}{\mathrel}{arrows}{"F5}
\DeclareMathSymbol{\nvdash}{\mathrel}{arrows}{"F8}
\DeclareMathSymbol{\nVdash}{\mathrel}{arrows}{"FA}
\DeclareMathSymbol{\nvDash}{\mathrel}{arrows}{"F9}
\DeclareMathSymbol{\nVDash}{\mathrel}{arrows}{"FB}
\DeclareMathSymbol{\ntrianglerighteq}{\mathrel}{arrows}{"F2}
\DeclareMathSymbol{\ntrianglelefteq}{\mathrel}{arrows}{"F1}
\DeclareMathSymbol{\ntriangleleft}{\mathrel}{arrows}{"EF}
\DeclareMathSymbol{\ntriangleright}{\mathrel}{arrows}{"F0}
\DeclareMathSymbol{\nleftarrow}{\mathrel}{arrows}{"32}
\DeclareMathSymbol{\nrightarrow}{\mathrel}{arrows}{"33}
\DeclareMathSymbol{\nLeftarrow}{\mathrel}{arrows}{"66}
\DeclareMathSymbol{\nRightarrow}{\mathrel}{arrows}{"68}
\DeclareMathSymbol{\nLeftrightarrow}{\mathrel}{arrows}{"67}
\DeclareMathSymbol{\nleftrightarrow}{\mathrel}{arrows}{"34}
\DeclareMathSymbol{\divideontimes}{\mathbin}{letters}{"F7}
\DeclareMathSymbol{\varnothing}{\mathord}{letters}{"9C}
\DeclareMathSymbol{\nexists}{\mathord}{arrows}{"20}
\DeclareMathSymbol{\Finv}{\mathord}{letters}{"90}
\DeclareMathSymbol{\Game}{\mathord}{letters}{"91}
\let\mho\undefined
\DeclareMathSymbol{\mho}{\mathord}{letters}{"92}
\DeclareMathSymbol{\simeq}{\mathrel}{symbols}{"27}
\DeclareMathSymbol{\eqsim}{\mathrel}{symbols}{"99}
\DeclareMathSymbol{\beth}{\mathord}{letters}{"95}
\DeclareMathSymbol{\gimel}{\mathord}{letters}{"96}
\DeclareMathSymbol{\daleth}{\mathord}{letters}{"97}
\DeclareMathSymbol{\lessdot}{\mathrel}{letters}{"DC}
\DeclareMathSymbol{\gtrdot}{\mathrel}{letters}{"DD}
\DeclareMathSymbol{\ltimes}{\mathbin}{letters}{"CE}
\DeclareMathSymbol{\rtimes}{\mathbin}{letters}{"CF}
\DeclareMathSymbol{\shortmid}{\mathrel}{letters}{"F4}
\DeclareMathSymbol{\shortparallel}{\mathrel}{letters}{"F5}
\DeclareMathSymbol{\smallsetminus}{\mathbin}{letters}{"D8} %?
\DeclareMathSymbol{\thicksim}{\mathrel}{symbols}{"18} %?
\DeclareMathSymbol{\thickapprox}{\mathrel}{symbols}{"19} %?
\DeclareMathSymbol{\approxeq}{\mathrel}{symbols}{"9D}
\DeclareMathSymbol{\succapprox}{\mathrel}{letters}{"ED}
\DeclareMathSymbol{\precapprox}{\mathrel}{letters}{"EC}
\DeclareMathSymbol{\curvearrowleft}{\mathrel}{arrows}{"87}
\DeclareMathSymbol{\curvearrowright}{\mathrel}{arrows}{"88}
\DeclareMathSymbol{\digamma}{\mathord}{letters}{"46} %?
\DeclareMathSymbol{\varkappa}{\mathord}{letters}{"9B}
\DeclareMathSymbol{\Bbbk}{\mathord}{arrows}{"6B}
\DeclareMathSymbol{\hslash}{\mathord}{letters}{"9D}
\DeclareMathSymbol{\hbar}{\mathord}{arrows}{"1B}
\DeclareMathSymbol{\backepsilon}{\mathrel}{letters}{"FB} %?
\DeclareMathSymbol{\dashrightarrow}{\mathord}{arrows}{"3A}
\DeclareMathSymbol{\dashleftarrow}{\mathord}{arrows}{"38}
\DeclareMathSymbol{\dashuparrow}{\mathord}{arrows}{"39}
\DeclareMathSymbol{\dashdownarrow}{\mathord}{arrows}{"3B}
\DeclareMathDelimiter\ulcorner{\mathopen}{arrows}{"70}{arrows}{"70}
\DeclareMathDelimiter\urcorner{\mathclose}{arrows}{"71}{arrows}{"71}
\DeclareMathDelimiter\llcorner{\mathopen}{arrows}{"78}{arrows}{"78}
\DeclareMathDelimiter\lrcorner{\mathclose}{arrows}{"79}{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}{\mathrel}{arrows}{"61}
%\def\AmSfont{\usefont{OMS}{hlcy}{m}{n}}


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