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#################################################################
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.
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