mathe.sty

mathe.sty
1 \NeedsTeXFormat{LaTeX2e}[1996/06/01] 2 \ProvidesPackage{mathe} 3 4 5 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 6 % Xenia Rendtel 7 % 02.10.2007 8 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 9 10 11 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 12 % �quivalenzpfeile mit verschiedenen Abst�nden 13 % sowie weitere Pfeile 14 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 15 16 \newcommand{\same}{\ensuremath{\Leftrightarrow}} 17 \newcommand{\qsame}{\quad\same\quad} 18 \newcommand{\lsame}{\ensuremath{\Longleftrightarrow}} 19 \newcommand{\qlsame}{\quad\lsame\quad} 20 \newcommand{\dsame}{\ensuremath{:\Leftrightarrow}} 21 \newcommand{\qdsame}{\quad\dsame\quad} 22 \newcommand{\ldsame}{\ensuremath{:\Longleftrightarrow}} 23 \newcommand{\qldsame}{\quad\ldsame\quad} 24 \newcommand{\samedef}{\ensuremath{\us {\text{def}} \Leftrightarrow}} 25 \newcommand{\qsamedef}{\quad\samedef\quad} 26 \newcommand{\lsamedef}{\ensuremath{\us {\text{def}} \Longleftrightarrow}} 27 \newcommand{\qlsamedef}{\quad\lsamedef\quad} 28 \newcommand{\lto}{\longrightarrow} 29 \newcommand{\qTo}{\quad\To\quad} 30 \newcommand{\sTo}{\ \To\ } 31 \newcommand{\To}{\ensuremath{\Rightarrow}} 32 33 34 %% 35 % Mengendefinitionen 36 %% 37 38 \newcommand{\N}{\ensuremath{\mathbb {N}}} 39 \newcommand{\Z}{\ensuremath{\mathbb {Z}}} 40 \newcommand{\Q}{\ensuremath{\mathbb {Q}}} 41 \newcommand{\R}{\ensuremath{\mathbb {R}}} 42 \newcommand{\C}{\ensuremath{\mathbb {C}}} 43 \renewcommand{\S}{\ensuremath{\mathbb {S}}} 44 \newcommand{\Prim}{\ensuremath{{\mathbb P}}} 45 \newcommand{\0}{\ensuremath{\emptyset}} 46 \renewcommand{\Re}{\ensuremath{\operatorname{Re}}} 47 \renewcommand{\Im}{\ensuremath{\operatorname{Im}}} 48 49 50 %% 51 % Logisches Und und Oder 52 %% 53 54 \newcommand{\sand}{\ensuremath{\; \land \;}} 55 \newcommand{\sor}{\ensuremath{\; \lor \;}} 56 \renewcommand{\*}{\ensuremath{\cdot}} 57 \newcommand{\od}{\vee} 58 \newcommand{\n}{\neg} 59 \newcommand{\un}{\wedge} 60 61 62 %% 63 % nicht Element von 64 %% 65 66 \newcommand{\nin}{\not\in} 67 68 69 70 %% 71 % Bei Integral, Summe,... die Grenzen �ber bzw. 72 % unter das Zeichen 73 %% 74 75 \newcommand{\I}{\int\limits} 76 \newcommand{\Sum}{\sum\limits} 77 \newcommand{\Prod}{\prod\limits} 78 \newcommand{\Min}{\min\limits} 79 \newcommand{\Max}{\max\limits} 80 \newcommand{\Lim}{\lim\limits} 81 \newcommand{\Inf}{\inf\limits} 82 \newcommand{\Sup}{\sup\limits} 83 \newcommand{\Liminf}{\liminf\limits} 84 \newcommand{\Limsup}{\limsup\limits} 85 %\renewcommand{\Cup}{\bigcup\limits} 86 %\renewcommand{\Cap}{\bigcap\limits} 87 \newcommand{\Otimes}{\bigotimes\limits} 88 \newcommand{\Oplus}{\bigoplus\limits} 89 90 91 92 93 %% 94 % den Beweis schick machen 95 %% 96 97 98 % Ende des Beweises 99 \newcommand{\qed}{\mbox{}\hfill\ensuremath{\Box}} 100 101 102 103 \newcommand{\operp}{ 104 \settowidth{\length}{\ensuremath{\bigcirc}} 105 \text{\makebox[\length]{ 106 \makebox[0pt]{\ensuremath{\bigcirc}} 107 \makebox[0pt]{\ensuremath{\perp}} 108 }}} 109 110 111 112 113 %% 114 % Arcus Cotangens, Logarithmus 115 %% 116 117 \newcommand{\arcsinh}{\operatorname{arcsinh}} 118 \newcommand{\arccosh}{\operatorname{arccosh}} 119 \newcommand{\arctanh}{\operatorname{arctanh}} 120 \newcommand{\arccot}{\operatorname{arccot}} 121 \newcommand{\arccoth}{\operatorname{arccoth}} 122 \newcommand{\Log}{\operatorname{Log}} 123 124 125 %% 126 % Griechische Buchstaben 127 %% 128 129 \newcommand{\e}{\ensuremath{\varepsilon}} 130 %\renewcommand{\phi}{\varphi} 131 \renewcommand{\l}{\lambda} 132 \renewcommand{\t}{\tau} 133 134 135 136 %% 137 % Bezeichnungen 138 %% 139 140 141 \newcommand{\Rgn}{\R_{>0}} % R gr��er Null 142 \newcommand{\Rad}{\operatorname{Rad}} % Radikal 143 \newcommand{\KGV}{\operatorname{KGV}} % Kleinster gemeinsame Vielfache 144 \newcommand{\kgV}{\operatorname{kgV}} % Kleinster gemeinsame Vielfache 145 \newcommand{\GGT}{\operatorname{GGT}} % Gr��ter gemeinsame Teiler 146 \newcommand{\ggT}{\operatorname{ggT}} % Gr��ter gemeinsame Teiler 147 \newcommand{\winkel}{\sphericalangle} % Winkelsymbol 148 \newcommand{\dt}{\operatorname{dt}} % Determinante 149 \newcommand{\dx}{\operatorname{dx}} % Determinante 150 \newcommand{\dy}{\operatorname{dy}} % Determinante 151 \newcommand{\dz}{\operatorname{dz}} % Determinante 152 \newcommand{\vek}[1]{\overrightarrow{#1}}

\NeedsTeXFormat{LaTeX2e}[1996/06/01]
\ProvidesPackage{mathe}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Xenia Rendtel
% 02.10.2007
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% �quivalenzpfeile mit verschiedenen Abst�nden
% sowie weitere Pfeile
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\newcommand{\same}{\ensuremath{\Leftrightarrow}}
\newcommand{\qsame}{\quad\same\quad}
\newcommand{\lsame}{\ensuremath{\Longleftrightarrow}}
\newcommand{\qlsame}{\quad\lsame\quad}
\newcommand{\dsame}{\ensuremath{:\Leftrightarrow}}
\newcommand{\qdsame}{\quad\dsame\quad}
\newcommand{\ldsame}{\ensuremath{:\Longleftrightarrow}}
\newcommand{\qldsame}{\quad\ldsame\quad}
\newcommand{\samedef}{\ensuremath{\us {\text{def}} \Leftrightarrow}}
\newcommand{\qsamedef}{\quad\samedef\quad}
\newcommand{\lsamedef}{\ensuremath{\us {\text{def}} \Longleftrightarrow}}
\newcommand{\qlsamedef}{\quad\lsamedef\quad}
\newcommand{\lto}{\longrightarrow}
\newcommand{\qTo}{\quad\To\quad}
\newcommand{\sTo}{\ \To\ }
\newcommand{\To}{\ensuremath{\Rightarrow}}


%%
% Mengendefinitionen
%%

\newcommand{\N}{\ensuremath{\mathbb {N}}}
\newcommand{\Z}{\ensuremath{\mathbb {Z}}}
\newcommand{\Q}{\ensuremath{\mathbb {Q}}}
\newcommand{\R}{\ensuremath{\mathbb {R}}}
\newcommand{\C}{\ensuremath{\mathbb {C}}}
\renewcommand{\S}{\ensuremath{\mathbb {S}}}
\newcommand{\Prim}{\ensuremath{{\mathbb P}}}
\newcommand{\0}{\ensuremath{\emptyset}}
\renewcommand{\Re}{\ensuremath{\operatorname{Re}}}
\renewcommand{\Im}{\ensuremath{\operatorname{Im}}}


%%
% Logisches Und und Oder
%%

\newcommand{\sand}{\ensuremath{\; \land \;}}
\newcommand{\sor}{\ensuremath{\; \lor \;}}
\renewcommand{\*}{\ensuremath{\cdot}}
\newcommand{\od}{\vee}
\newcommand{\n}{\neg}
\newcommand{\un}{\wedge}


%%
% nicht Element von
%%

\newcommand{\nin}{\not\in}



%%
% Bei Integral, Summe,... die Grenzen �ber bzw.
% unter das Zeichen
%%

\newcommand{\I}{\int\limits}
\newcommand{\Sum}{\sum\limits}
\newcommand{\Prod}{\prod\limits}
\newcommand{\Min}{\min\limits}
\newcommand{\Max}{\max\limits}
\newcommand{\Lim}{\lim\limits}
\newcommand{\Inf}{\inf\limits}
\newcommand{\Sup}{\sup\limits}
\newcommand{\Liminf}{\liminf\limits}
\newcommand{\Limsup}{\limsup\limits}
%\renewcommand{\Cup}{\bigcup\limits}
%\renewcommand{\Cap}{\bigcap\limits}
\newcommand{\Otimes}{\bigotimes\limits}
\newcommand{\Oplus}{\bigoplus\limits}




%%
% den Beweis schick machen
%%


% Ende des Beweises
\newcommand{\qed}{\mbox{}\hfill\ensuremath{\Box}}



\newcommand{\operp}{
\settowidth{\length}{\ensuremath{\bigcirc}}
\text{\makebox[\length]{
\makebox[0pt]{\ensuremath{\bigcirc}}
\makebox[0pt]{\ensuremath{\perp}}
}}}




%%
% Arcus Cotangens, Logarithmus
%%

\newcommand{\arcsinh}{\operatorname{arcsinh}}
\newcommand{\arccosh}{\operatorname{arccosh}}
\newcommand{\arctanh}{\operatorname{arctanh}}
\newcommand{\arccot}{\operatorname{arccot}}
\newcommand{\arccoth}{\operatorname{arccoth}}
\newcommand{\Log}{\operatorname{Log}}


%%
% Griechische Buchstaben
%%

\newcommand{\e}{\ensuremath{\varepsilon}}
%\renewcommand{\phi}{\varphi}
\renewcommand{\l}{\lambda}
\renewcommand{\t}{\tau}



%%
% Bezeichnungen
%%


\newcommand{\Rgn}{\R_{>0}} % R gr��er Null
\newcommand{\Rad}{\operatorname{Rad}} % Radikal
\newcommand{\KGV}{\operatorname{KGV}} % Kleinster gemeinsame Vielfache
\newcommand{\kgV}{\operatorname{kgV}} % Kleinster gemeinsame Vielfache
\newcommand{\GGT}{\operatorname{GGT}} % Gr��ter gemeinsame Teiler
\newcommand{\ggT}{\operatorname{ggT}} % Gr��ter gemeinsame Teiler
\newcommand{\winkel}{\sphericalangle} % Winkelsymbol
\newcommand{\dt}{\operatorname{dt}} % Determinante
\newcommand{\dx}{\operatorname{dx}} % Determinante
\newcommand{\dy}{\operatorname{dy}} % Determinante
\newcommand{\dz}{\operatorname{dz}} % Determinante
\newcommand{\vek}[1]{\overrightarrow{#1}}

Letzte Änderung: 22.08.2009: 11:56:54 von X. Rendtel