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authorNorbert Preining <norbert@preining.info>2019-09-02 13:46:59 +0900
committerNorbert Preining <norbert@preining.info>2019-09-02 13:46:59 +0900
commite0c6872cf40896c7be36b11dcc744620f10adf1d (patch)
tree60335e10d2f4354b0674ec22d7b53f0f8abee672 /support/tcltexed/hlp/bre/amsmath.txt
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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.