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% -*- latex -*-
%% TRALICS, copyright (C) INRIA/apics (Jose' Grimm) 2006, 2007
%% Licensed under the CeCILL free software license 
%% (See the file COPYING in the main directory for details)
%% $Id: mml.sty,v 2.8 2007/05/22 09:46:32 grimm Exp $

\ProvidesPackage{mml}[2007/02/14 v1.0 MathML: Standard Tralics]

\def\mmlxentity#1{\amp\#x#1;}
\def\mmlentity#1{\amp#1;}


% These are listed in section 4.2.3
% Unary arithmetic functions
\newcommand\mmlFactorial{\mathbox{factorial}{}}
\newcommand\mmlMinus{\mathbox{minus}{}}
\newcommand\mmlAbs{\mathbox{abs}{}}
\newcommand\mmlConjugate{\mathbox{conjugate}{}}
\newcommand\mmlArg{\mathbox{arg}{}}
\newcommand\mmlReal{\mathbox{real}{}}
\newcommand\mmlImaginary{\mathbox{imaginary}{}}
\newcommand\mmlFloor{\mathbox{floor}{}}
\newcommand\mmlCeiling{\mathbox{ceiling}{}}
% Unary logical
\newcommand\mmlNot{\mathbox{not}{}}
% Unary functional
\newcommand\mmlInverse{\mathbox{inverse}{}}
\newcommand\mmlinverse[2]{\mathbox{inverse}[definitionURL][#1][encoding][#2]{}} % in the case attributes needed
\newcommand\mmlIdent{\mathbox{ident}{}}
\newcommand\mmlDomain{\mathbox{domain}{}}
\newcommand\mmlCodomain{\mathbox{codomain}{}}
\newcommand\mmlImage{\mathbox{image}{}}
% Unary elementary classical functions
\newcommand\mmlSin{\mathbox{sin}{}}
\newcommand\mmlCos{\mathbox{cos}{}}
\newcommand\mmlTan{\mathbox{tan}{}}
\newcommand\mmlSec{\mathbox{sec}{}}
\newcommand\mmlCsc{\mathbox{csc}{}}
\newcommand\mmlCot{\mathbox{cot}{}}
\newcommand\mmlSinh{\mathbox{sinh}{}}
\newcommand\mmlCosh{\mathbox{cosh}{}}
\newcommand\mmlTanh{\mathbox{tanh}{}}
\newcommand\mmlSech{\mathbox{sech}{}}
\newcommand\mmlCsch{\mathbox{csch}{}}
\newcommand\mmlCoth{\mathbox{coth}{}}
\newcommand\mmlArcsin{\mathbox{arcsin}{}}
\newcommand\mmlArccos{\mathbox{arccos}{}}
\newcommand\mmlArctan{\mathbox{arctan}{}}
\newcommand\mmlArcsinh{\mathbox{arcsinh}{}}
\newcommand\mmlArccosh{\mathbox{arccosh}{}}
\newcommand\mmlArctanh{\mathbox{arctanh}{}}
\newcommand\mmlArccot{\mathbox{arccot}{}}
\newcommand\mmlArccoth{\mathbox{arccoth}{}}
\newcommand\mmlArccsc{\mathbox{arccsc}{}}
\newcommand\mmlArccsch{\mathbox{arccsch}{}}
\newcommand\mmlArcsec{\mathbox{arcsec}{}}
\newcommand\mmlArcsech{\mathbox{arcsech}{}}
\newcommand\mmlExp{\mathbox{exp}{}}
\newcommand\mmlLn{\mathbox{ln}{}}
\newcommand\mmlLog{\mathbox{log}{}}
%Unary linear algebra
\newcommand\mmlDeterminant{\mathbox{determinant}{}}
\newcommand\mmlTranspose{\mathbox{transpose}{}}
% Unary calculus and vector calculus
\newcommand\mmlDivergence{\mathbox{}{}}
\newcommand\mmlGrad{\mathbox{grad}{}}
\newcommand\mmlCurl{\mathbox{curl}{}}
\newcommand\mmlLaplacian{\mathbox{laplacian}{}}
% Unary set-theoric
\newcommand\mmlCard{\mathbox{card}{}}
% Binary arithmetic
\newcommand\mmlQuotient{\mathbox{quotient}{}}
\newcommand\mmlDivide{\mathbox{divide}{}}
%\newcommand\mmlMinus{\mathbox{minus}{}}   % s also unary
\newcommand\mmlPower{\mathbox{power}{}}
\newcommand\mmlRem{\mathbox{rem}{}}
% Binary logical
\newcommand\mmlImplies{\mathbox{implies}{}}
\newcommand\mmlEquivalent{\mathbox{equivalent}{}}
\newcommand\mmlApprox{\mathbox{approx}{}}
% Binary set operator
\newcommand\mmlSetdiff{\mathbox{setdiff}{}}
% Binary linear algebra
\newcommand\mmlVectorproduct{\mathbox{vectorproduct}{}}
\newcommand\mmlScalarproduct{\mathbox{scalarproduct}{}}
\newcommand\mmlOuterproduct{\mathbox{outerproduct}{}}
% N-ary arithmetic
\newcommand\mmlPlus{\mathbox{plus}{}}
\newcommand\mmlTimes{\mathbox{times}{}}
\newcommand\mmlMax{\mathbox{max}{}}
\newcommand\mmlMin{\mathbox{min}{}}
\newcommand\mmlGcd{\mathbox{gcd}{}}
\newcommand\mmlLcm{\mathbox{lcm}{}}
% N-ary statistical
\newcommand\mmlMean{\mathbox{mean}{}}
\newcommand\mmlSdev{\mathbox{sdev}{}}
\newcommand\mmlVariance{\mathbox{variance}{}}
\newcommand\mmlMedian{\mathbox{median}{}}
\newcommand\mmlMode{\mathbox{mode}{}}
% N-ary logical
\newcommand\mmlAnd{\mathbox{and}{}}
\newcommand\mmlOr{\mathbox{or}{}}
\newcommand\mmlXor{\mathbox{xor}{}}
% N-ary linear algebra
\newcommand\mmlSelector{\mathbox{selector}{}}
% N-ary set operator
\newcommand\mmlUnion{\mathbox{union}{}}
\newcommand\mmlIntersect{\mathbox{intersect}{}}
\newcommand\mmlCartesianproduct{\mathbox{cartesianproduct}{}}
% N-ary functional
\newcommand\mmlCompose{\mathbox{compose}{}}
% Integral sum product operators
\newcommand\mmlInt{\mathbox{int}{}}
\newcommand\mmlSum{\mathbox{sum}{}}
\newcommand\mmlProduct{\mathbox{product}{}}
% Differential operator
\newcommand\mmlDiff{\mathbox{diff}{}}
\newcommand\mmlPartialdiff{\mathbox{partialdiff}{}}
% Quantifier
\newcommand\mmlForall{\mathbox{forall}{}}
\newcommand\mmlExists{\mathbox{exists}{}}

% These are listed in section 4.2.4
% Binary relation
\newcommand\mmlNeq{\mathbox{neq}{}}
% \newcommand\mmlEquivalent{\mathbox{equivalent}{}} defined above
% \newcommand\mmlApprox{\mathbox{approx}{}} % defined above
\newcommand\mmlFactorof{\mathbox{factorof}{}}
% binary logical relation
% \newcommand\mmlImplies{\mathbox{implies}{}}  % defined above
% Binary set relation
\newcommand\mmlIn{\mathbox{in}{}}
\newcommand\mmlNotin{\mathbox{notin}{}}
\newcommand\mmlNotsubset{\mathbox{notsubset}{}}
\newcommand\mmlNotprsubset{\mathbox{notprsubset}{}}
% binary series relation
\newcommand\mmlTendsto{\mathbox{tendsto}{}}
\newcommand\mmltendsto[1]{\mathbox{tendsto}[type][#1]{}}
% N-ary relation
\newcommand\mmlEq{\mathbox{eq}{}}
\newcommand\mmlLeq{\mathbox{leq}{}}
\newcommand\mmlLt{\mathbox{lt}{}}
\newcommand\mmlGt{\mathbox{gt}{}}
\newcommand\mmlGeq{\mathbox{geq}{}}
% N-ary set relation
\newcommand\mmlSubset{\mathbox{subset}{}}
\newcommand\mmlPrsubset{\mathbox{prsubset}{}}

% <sep/> separator in a number
\newcommand\mmlSep{\mathbox{sep}{}}


% <apply> takes N arguments
\newcommand\mmlapply{\mathbox{apply}}
% <semantics> one child
\newcommand\mmlsemantics{\mathbox{semantics}}
% <declare> one child
\newcommand\mmldeclare{\mathbox{declare}}  %
% <lambda> N <bvar> children, optional <domainofapplication>, expression
\newcommand\mmllambda{\mathbox{lambda}}  %

% <cn> : content is PCDATA plus <sep/>
% 
\newcommand\mmlcn{\mathbox{cn}}

% <ci> 
% \mathci gives PCDATA as content, \mmlci gives a general construct
%% Attributes: base, type
\newcommand\mmlci{\mathbox{ci}}  %

% <csymbol> 
% \mathcsymbol gives PCDATA as content, \mmlcsymbol for general construct
% attributes  definitionURL
\newcommand\mmlcsymbol{\mathbox{csymbol}}  %


% <interval> can have a closure attribute
\newcommand\mmlinterval{\mathbox{interval}}

% <list> can have a closure attribute
\newcommand\mmllist{\mathbox{list}}

% <matrix> contains only <matrixrow> as children
\newcommand\mmlmatrix{\mathbox{matrix}}

% <matrixrow> a row in a matrix
\newcommand\mmlmatrixrow{\mathbox{matrixrow}}

% <vector> a row in a matrix
\newcommand\mmlvector{\mathbox{vector}}

% <condition> has a single child
\newcommand\mmlcondition{\mathbox{condition}}
\newcommand\mmlfn{\mathbox{fn}}


% <annotation>
\newcommand\mmlannotation{\mathbox{annotation}}
\newcommand\mmlannotationxml{\mathbox{annotation-xml}}


\newcommand\mmldomainofapplication{\mathbox{domainofapplication}}



\newcommand\mmlpiece{\mathbox{piece}}
\newcommand\mmlpiecewise{\mathbox{piecewise}}
\newcommand\mmlotherwise{\mathbox{otherwise}}
\newcommand\mmllowlimit{\mathbox{lowlimit}}
\newcommand\mmluplimit{\mathbox{uplimit}}
\newcommand\mmlbvar{\mathbox{bvar}}
\newcommand\mmldegree{\mathbox{degree}}
\newcommand\mmlmomentabout{\mathbox{momentabout}}
\newcommand\mmlMoment{\mathbox{moment}{}}
\newcommand\mmllogbase{\mathbox{logbase}}
\newcommand\mmlset{\mathbox{set}}

%%%%%%%%%%%%%%%%%%%%%

\newcommand\mmlRoot{\mathbox{root}{}} 
\newcommand\mmlLimit{\mathbox{limit}{}}



%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%% constants
\newcommand\mmlIntegers{\mathbox{integers}{}}
\newcommand\mmlReals{\mathbox{reals}{}}
\newcommand\mmlRationals{\mathbox{rationals}{}}
\newcommand\mmlComplexes{\mathbox{complexes}{}}
\newcommand\mmlPrimes{\mathbox{primes}{}}
\newcommand\mmlExponentiale{\mathbox{exponentiale}{}}
\newcommand\mmlImaginaryi{\mathbox{imaginaryi}{}}
\newcommand\mmlNotanumber{\mathbox{notanumber}{}}
\newcommand\mmlTrue{\mathbox{true}{}}
\newcommand\mmlFalse{\mathbox{false}{}}
\newcommand\mmlEmptyset{\mathbox{emptyset}{}}
\newcommand\mmlPi{\mathbox{pi}{}}
\newcommand\mmlEulergamma{\mathbox{eulergamma}{}}
\newcommand\mmlInfinity{\mathbox{infinity}{}}
\newcommand\mmlNaturalnumbers{\mathbox{naturalnumbers}{}}




% Attribute type. In the case of <cn> can be: real integer rational 
% complex-cartesian and complex-polar
% Other types e-notation, constant, function complex normal multiset
% above below two-sided
\newcommand\mmlAtype[1]{[type][#1]}

% Attribute base: for <cn> defaults to 10
\newcommand\mmlAbase[1]{[base][#1]}

% closure of an interval
\newcommand\mmlAclosure[1]{[closure][#1]}

% encoding of  annotation etc
\newcommand\mmlAencoding[1]{[encoding][#1]}
%\def\mmlencodingP{\mmlAencoding{MathML-Presentation}}
%\def\mmlencodingC{\mmlAencoding{MathML-Content}}
%\def\mmlencodingT{\mmlAencoding{TeX}}
%\def\mmlencodingO{\mmlAencoding{OpenMath}}

% external definition of the semantics of teh symbol or construct being 
% declared
\newcommand\mmlAdefinitionURL[1]{[definitionURL][#1]}

%% Number of arguments for <declare>. Can be nary
\newcommand\mmlAnargs[1]{[nargs][#1]}

%% Occurence for operator declaration. Can be prefix, infix, function-model
\newcommand\mmlAoccurrence[1]{[occurrence][#1]}

%% Ordering of a list. Can be lexicographic or numeric
\newcommand\mmlAorder[1]{[order][#1]}

% General attributes
\newcommand\mmlAclass[1]{[class][#1]}
\newcommand\mmlAstyle[1]{[style][#1]}
\newcommand\mmlAid[1]{[id][#1]}
\newcommand\mmlAother[1]{[other][#1]}


%% Scope of applicability of a declaration. Can be local, global
% deprecated
%\newcommand\mmlAscope[1]{[scope][#1]}

\newcommand\mmlXsep[2]{\mathcnothing{#1}\mathbox{sep}{}\mathcnothing{#2}}



% Common constants, to be code
\newcommand\mmlCpi{\mmlentity{pi}}
\newcommand\mmlCee{\mmlentity{ee}}
\newcommand\mmlCii{\mmlentity{ii}}
\newcommand\mmlCgamma{\mmlentity{gamma}}
\newcommand\mmlCinfty{\mmlentity{infty}}
\newcommand\mmlCtrue{\mmlentity{true}}
\newcommand\mmlCfalse{\mmlentity{false}}
\newcommand\mmlCNaN{\mmlentity{NaN}}