[hwa] unify imp and docu of operators, add \partdiff

parent ed65f357
......@@ -319,6 +319,33 @@
\newcommand{\C}{\ensuremath{\mathbb{C}}}
\newcommand{\F}{\ensuremath{\mathbb{F}}}
\newcommand{\Primes}{\ensuremath{\mathbb{P}}}
\DeclareMathOperator{\GL}{GL}
\DeclareMathOperator{\id}{id}
\DeclareMathOperator{\Var}{Var}
\DeclareMathOperator{\Perm}{Perm}
\DeclareMathOperator{\MComb}{MComb}
\DeclareMathOperator{\Comb}{Comb}
\DeclareMathOperator{\Pot}{Pot}
\DeclareMathOperator{\Map}{Map}
\DeclareMathOperator{\Hom}{Hom}
\DeclareMathOperator{\Ker}{Ker}
\DeclareMathOperator{\Intpol}{Intpol}
\DeclareMathOperator{\Pol}{Pol}
\DeclareMathOperator{\Sol}{Sol}
\DeclareMathOperator{\Bin}{Bin}
\DeclareMathOperator{\charakteristik}{char}
\newcommand{\diff}[1]{\ensuremath{\frac{d}{d#1}}}
\newcommand{\partdiff}[1]{\ensuremath{\frac{\partial}{\partial#1}}}
\newcommand{\dx}{\:dx}
\newcommand{\divides}{\ensuremath{\ |\ }}
\newcommand{\property}{\ensuremath{\ |\ }}
\renewcommand{\dim}[1][]{\ensuremath{\text{dim}_{#1}\ }}
\renewcommand{\Im}{\ensuremath{\text{Im}\ }}
\newcommand{\excup}{\ensuremath{\stackrel{.}{\cup}}}
\newcommand{\falls}{\text{\ \GetTranslation{falls}}\ }
\DeclareTranslationFallback{aufgabe}{Aufgabe}
\DeclareTranslationFallback{loesung}{L\"osung}
\DeclareTranslationFallback{beweis}{Beweis}
......@@ -434,33 +461,6 @@
\newcommand{\ceil}[1]{\ensuremath{\left\lceil #1 \right\rceil}}
\newcommand{\roundHU}[1]{\ensuremath{\left\lceil #1 \right\rfloor}}
\newcommand{\roundHD}[1]{\ensuremath{\left\lfloor #1 \right\rceil}}
\DeclareMathOperator{\GL}{GL}
\DeclareMathOperator{\id}{id}
\DeclareMathOperator{\Var}{Var}
\DeclareMathOperator{\Perm}{Perm}
\DeclareMathOperator{\MComb}{MComb}
\DeclareMathOperator{\Comb}{Comb}
\DeclareMathOperator{\Pot}{Pot}
\DeclareMathOperator{\Map}{Map}
\DeclareMathOperator{\Hom}{Hom}
\DeclareMathOperator{\Ker}{Ker}
\DeclareMathOperator{\Intpol}{Intpol}
\DeclareMathOperator{\Pol}{Pol}
\DeclareMathOperator{\Sol}{Sol}
\DeclareMathOperator{\Bin}{Bin}
\DeclareMathOperator{\charakteristik}{char}
\newcommand{\diff}[1]{\ensuremath{\frac{d}{d#1}}}
\newcommand{\dx}{\:dx}
\newcommand{\divides}{\ensuremath{\ |\ }}
\newcommand{\property}{\ensuremath{\ |\ }}
\renewcommand{\dim}[1][]{\ensuremath{\text{dim}_{#1}\ }}
\renewcommand{\Im}{\ensuremath{\text{Im}\ }}
\newcommand{\excup}{\ensuremath{\stackrel{.}{\cup}}}
\newcommand{\falls}{\text{\ \GetTranslation{falls}}\ }
\let\oforall\forall
\let\oexists\exists
\renewcommand{\forall}{\ensuremath{\hskip 2pt \oforall \hskip 2pt}}
......
......@@ -726,35 +726,97 @@
\newcommand{\Primes}{\ensuremath{\mathbb{P}}}
% \end{macrocode}
% \end{macro}
% \newcommand{\divides}{\ensuremath{\ |\ }}
% \newcommand{\property}{\ensuremath{\ |\ }}
% \newcommand{\excup}{\ensuremath{\stackrel{.}{\cup}}}
% \newcommand{\falls}{\text{\ falls}\ }
% \newcommand{\diff}[1]{\ensuremath{\frac{d}{d#1}}}
% \newcommand{\dx}{\:dx}
% \DescribeMacro{Functions and Operators}
% Output usefull Plaintext-Operators and Functions.
% See table \ref{tab:text-functions}. Require Mathmode\\
% \begin{longtable}[h]{rl}
% Command & Output \\
% |\divides| and |property| & Prints a vertical Bar\\
% |\Var| & $\Var$\\
% |\Perm|& $\Perm$\\
% |\Comb|& $\Comb$\\
% |\MComb|& $\MComb$\\
% |\Pot|& $\Pot$\\
% |\Map|& $\Map$\\
% |\Bin| & $\Bin$\\
% |\GL| & $\GL$\\
% |\id| & $\id$\\
% |\dx|&$\dx$\\
% |\excup|&$\excup$\\
% |\diff{<1>}|&$\diff{<1>}$\\
% \caption{Text-like Functions}
% \label{tab:text-functions}
% \end{longtable}
% |\falls| prints out \foreigntextquote{ngerman}{falls}\footnote{In
% German, actual Translation may differ}
% \begin{macro}{\GL}~\\
% \DescribeMacro{\id}
% \DescribeMacro{\Var}
% \DescribeMacro{\Perm}
% \DescribeMacro{\MComb}
% \DescribeMacro{\Comb}
% \DescribeMacro{\Pot}
% \DescribeMacro{\Map}
% \DescribeMacro{\Hom}
% \DescribeMacro{\Ker}
% \DescribeMacro{\Intpol}
% \DescribeMacro{\Pol}
% \DescribeMacro{\Sol}
% \DescribeMacro{\Bin}
% \DescribeMacro{\charakteristik}
% \newcommand{\diff}[1]{\ensuremath{\frac{d}{d#1}}}
% \DescribeMacro{\diff}
% \newcommand{\partdiff}[1]{\ensuremath{\frac{\partial}{\partial#1}}}
% \DescribeMacro{\partdiff}
% \newcommand{\dx}{\:dx}
% \DescribeMacro{\dx}
% \newcommand{\divides}{\ensuremath{\ |\ }}
% \DescribeMacro{\divides}
% \newcommand{\property}{\ensuremath{\ |\ }}
% \DescribeMacro{\property}
% \renewcommand{\dim}[1][]{\ensuremath{\text{dim}_{#1}\ }}
% \DescribeMacro{\dim}
% \renewcommand{\Im}{\ensuremath{\text{Im}\ }}
% \DescribeMacro{\Im}
% \newcommand{\excup}{\ensuremath{\stackrel{.}{\cup}}}
% \DescribeMacro{\excup}
% \newcommand{\falls}{\text{\ \GetTranslation{falls}}\ }
% \DescribeMacro{\falls}
% Output usefull Plaintext-Operators and Functions.
% See table \ref{tab:functions}. Require Mathmode\\
% \begin{longtable}[h]{rl}
% Command & Output \\
% |\GL| & $\GL$\\
% |\id| & $\id$\\
% |\Var| & $\Var$\\
% |\Perm|& $\Perm$\\
% |\Comb|& $\Comb$\\
% |\MComb|& $\MComb$\\
% |\Pot|& $\Pot$\\
% |\Map|& $\Map$\\
% |\Hom|& $\Hom$\\
% |\Intpol|& $\Intpol$\\
% |\Pol|& $\Pol$\\
% |\Sol|& $\Sol$\\
% |\Bin| & $\Bin$\\
% |\charakteristik| & $\charakteristik$\\
% |\diff{<1>}|&$\diff{<1>}$\\
% |\partdiff{<1>}|&$\partdiff{<1>}$\\
% |\divides| and |property| & Prints a vertical line\\
% |\dx|&$\dx$\\
% |\excup|&$\excup$\\
% \caption{Common Functions}
% \label{tab:functions}
% \end{longtable}
% |\falls| prints out \foreigntextquote{ngerman}{falls}\footnote{In
% German, actual Translation may differ}
% \begin{macrocode}
\DeclareMathOperator{\GL}{GL}
\DeclareMathOperator{\id}{id}
\DeclareMathOperator{\Var}{Var}
\DeclareMathOperator{\Perm}{Perm}
\DeclareMathOperator{\MComb}{MComb}
\DeclareMathOperator{\Comb}{Comb}
\DeclareMathOperator{\Pot}{Pot}
\DeclareMathOperator{\Map}{Map}
\DeclareMathOperator{\Hom}{Hom}
\DeclareMathOperator{\Ker}{Ker}
\DeclareMathOperator{\Intpol}{Intpol}
\DeclareMathOperator{\Pol}{Pol}
\DeclareMathOperator{\Sol}{Sol}
\DeclareMathOperator{\Bin}{Bin}
\DeclareMathOperator{\charakteristik}{char}
\newcommand{\diff}[1]{\ensuremath{\frac{d}{d#1}}}
\newcommand{\partdiff}[1]{\ensuremath{\frac{\partial}{\partial#1}}}
\newcommand{\dx}{\:dx}
\newcommand{\divides}{\ensuremath{\ |\ }}
\newcommand{\property}{\ensuremath{\ |\ }}
\renewcommand{\dim}[1][]{\ensuremath{\text{dim}_{#1}\ }}
\renewcommand{\Im}{\ensuremath{\text{Im}\ }}
\newcommand{\excup}{\ensuremath{\stackrel{.}{\cup}}}
\newcommand{\falls}{\text{\ \GetTranslation{falls}}\ }
% \end{macrocode}
% \end{macro}
% \subsubsection{Rounding}
% Require Mathmode
% \newcommand{\floor}[1]{\ensuremath{\left\lfloor #1 \right\rfloor}}
......@@ -1124,35 +1186,6 @@
% \end{macrocode}
% \end{macro}
% \begin{macro}{Mathematical Functions}
% \begin{macrocode}
\DeclareMathOperator{\GL}{GL}
\DeclareMathOperator{\id}{id}
\DeclareMathOperator{\Var}{Var}
\DeclareMathOperator{\Perm}{Perm}
\DeclareMathOperator{\MComb}{MComb}
\DeclareMathOperator{\Comb}{Comb}
\DeclareMathOperator{\Pot}{Pot}
\DeclareMathOperator{\Map}{Map}
\DeclareMathOperator{\Hom}{Hom}
\DeclareMathOperator{\Ker}{Ker}
\DeclareMathOperator{\Intpol}{Intpol}
\DeclareMathOperator{\Pol}{Pol}
\DeclareMathOperator{\Sol}{Sol}
\DeclareMathOperator{\Bin}{Bin}
\DeclareMathOperator{\charakteristik}{char}
\newcommand{\diff}[1]{\ensuremath{\frac{d}{d#1}}}
\newcommand{\dx}{\:dx}
\newcommand{\divides}{\ensuremath{\ |\ }}
\newcommand{\property}{\ensuremath{\ |\ }}
\renewcommand{\dim}[1][]{\ensuremath{\text{dim}_{#1}\ }}
\renewcommand{\Im}{\ensuremath{\text{Im}\ }}
\newcommand{\excup}{\ensuremath{\stackrel{.}{\cup}}}
\newcommand{\falls}{\text{\ \GetTranslation{falls}}\ }
% \end{macrocode}
% \end{macro}
% \begin{macro}{Math Big Quantors}
% \begin{macrocode}
......
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