################################################################# American Mathmatical Society ################################################################# All commands below came with package amsmath. \usepackage{amsmath} ::amsmath:: ################################################################# mathematical subenviroments ################################################################# Subenviroments must be invoked within a mathmatical enviroment. for example : $\begin{split} ... \end{split}$ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ subenviroment : split ::split:: $\begin{split} a&=b\\ c&=d \end{split}$ allows multible formulas with only one number. ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ enviroment : multline ::multline:: \begin{multine} a+b+c\\ +d+e \end{multine} for breaking one formula into several lines with only one number ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ enviroment : gather ::gather:: \begin{gather} a+b+c\\ +d+e \end{gather} a group of formulas ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ enviroment : align ::align:: \begin{align} a&=b & c&=d \\ e&=f & g&=h \\ \intertext{and} i&=j & k&=l \end{align} an array of formulas ----------------------------------------------------------------- \intertext{text} ::intertext:: allows normal textoutput within this mathmatical enviroment ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ enviroment : subequation ::subequation:: mainnumbering gets an additional subnumbering with small letters \label{} does not distinguish between subnumbers ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ subenviroment : ?matrix ::matrix::pmatrix::bmatrix::vmatrix::Vmatrix:: $\begin{matrix} 1 & 2 & 3 & a \\ 4 & 5 & 6 & b \\ 7 & 8 & 9 & c \end{matrix}$ produces a matrix matrix : without brackets pmatrik : with round brackets bmatrix : with angular brackets vmatrix : with vertical lines Vmatrix : with doubled vertical lines ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ subenviroment : cases ::cases:: $sgn(x)=\begin{cases} -1 & \forall\ x<0 \\ 0 & x=0 \\ 1 & \forall\ x>0 \end{cases}$ for "Cases" constructions ################################################################# Sonstige Hilfen ################################################################# size of brackets : \bigl \bigr little bit larger ::bigl::bigr:: \Bigl \Bigr faktor 1.5 ::Bigl::Bigr:: \biggl \biggr faktor 2 ::biggl::biggr:: \Biggl \Biggr faktor 2.5 ::Biggl::Biggr:: left right of the formula behind this should follow one of these bracket forms "(" "|" "[" ... "]" ")" ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ \substack{ \\ ...\\ \text{Hi} ... \\ } ::substack:: example : \sum_\substack{i=0\\j=1}^\substack{10\\100} Pushes several lines of indices above or below. ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ \text{text} ::text:: text within a mathematical enviroment ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ \sideset{}{} ::sideset:: example : \sideset{^1_2}{^3_4}\sum sets indices at the corners .. left above 1, left below 2, right above 3 and right below 4 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ xleftarrow{above} ::xleftarrow::xrightarrow:: xleftarrow[below]{above} xrightarrow{above} xrightarrow[below]{above} An arrow which adapting the necessary length for displaying a text above itself and optionaly below, too. ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ \boxed{formula} ::boxed:: formula with a frame ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ \DeclareMathOperator{latex-command}{output} \DeclareMathOperator*{latex-command}{output} ::DeclareMathOperator:: Allows the declaration of own new mathematical functions like \sin \cos etc. * makes it display indices like \lim with in math enviroment.