diff options
Diffstat (limited to 'Master/texmf-dist/doc/generic/pstricks/voss/bsp28.tex')
-rw-r--r-- | Master/texmf-dist/doc/generic/pstricks/voss/bsp28.tex | 91 |
1 files changed, 91 insertions, 0 deletions
diff --git a/Master/texmf-dist/doc/generic/pstricks/voss/bsp28.tex b/Master/texmf-dist/doc/generic/pstricks/voss/bsp28.tex new file mode 100644 index 00000000000..0ccc74cfb2c --- /dev/null +++ b/Master/texmf-dist/doc/generic/pstricks/voss/bsp28.tex @@ -0,0 +1,91 @@ +\documentclass[12pt]{article}% Herbert Voss 2004-06-26 +\usepackage{calc} +\usepackage{multido} +\usepackage{pstricks} +\makeatletter +\newdimen\xMax +\newdimen\yMax +\newcount\xLines +\newcount\yLines +\newdimen\dx +\newdimen\dy +\xdefinecolor{lightred}{rgb}{1.0, 0.8, 0.8} +\newcommand{\grid}[3][black]{{% + \psset{linewidth=0.1pt} + \xMax=#3% + \yMax=#2% + \dx=5mm \xLines=\xMax \divide\xLines by \dx% + \dy=5mm \yLines=\yMax \divide\yLines by \dy% + \advance\xLines by 1% +% \advance\yLines by 1% + \yMax=\dy \multiply\yMax by \yLines% + \xMax=\dx \multiply\xMax by \xLines% + \advance\xLines by 1% + \advance\yLines by 1% + \psset{unit=1pt, linecolor=#1}% + \multido{\rA=0+\strip@pt\dx}{\xLines}{\psline(\rA,0)(\rA,\yMax)}% + \multido{\rA=0+\strip@pt\dy}{\yLines}{\psline(0,\rA)(\xMax,\rA)}% +}} +\makeatother +\newsavebox{\gridbox} +\newenvironment{dogrid}[1][\linewidth]{% + \begin{lrbox}{\gridbox}% + \begin{minipage}{#1}% +}{% + \end{minipage}% + \end{lrbox}% + \yMax=\dp\gridbox \advance\yMax by \ht\gridbox + \noindent% + \raisebox{-1.05\dp\gridbox}{\grid[lightred]{\yMax}{\wd\gridbox}}% + \usebox{\gridbox} + \vspace{0.5cm} +} + +\begin{document} + +\begin{dogrid} +\[ +\begin{array}{rcll} +y & = & x^{2}+bx+c\\ + & = & x^{2}+2\cdot{\displaystyle\frac{b}{2}x+c}\\ + & = & \underbrace{x^{2}+2\cdot\frac{b}{2}x+\left(\frac{b}{2}\right)^{2}}-{\displaystyle \left(\frac{b}{2}\right)^{2}+c}\\ + & & \qquad\left(x+{\displaystyle \frac{b}{2}}\right)^{2}\\ + & = & \left(x+{\displaystyle \frac{b}{2}}\right)^{2}-\left({\displaystyle \frac{b}{2}}\right)^{2}+c & \left|+\left({\displaystyle \frac{b}{2}}\right)^{2}-c\right.\\ +y+\left({\displaystyle \frac{b}{2}}\right)^{2}-c & = & \left(x+{\displaystyle \frac{b}{2}}\right)^{2} & \left|(\textrm{Scheitelpunktform})\right.\\ +y-y_{S} & = & (x-x_{S})^{2}\\ +S(x_{S};y_{S}) & \,\textrm{bzw.}\, & S\left(-{\displaystyle \frac{b}{2};\,\left({\displaystyle \frac{b}{2}}\right)^{2}-c}\right) +\end{array} +\] +\end{dogrid} + +\begin{center} +\begin{dogrid}[.5\linewidth] +\[ +\left( +\begin{array}{c@{}c@{}c} +\begin{array}{|cc|} +\hline +a_{11} & a_{12} \\ +a_{21} & a_{22} \\ +\hline +\end{array} & 0 & 0 \\ +0 & \begin{array}{|ccc|} + \hline + b_{11} & b_{12} & b_{13}\\ + b_{21} & b_{22} & b_{23}\\ + b_{31} & b_{32} & b_{33}\\ + \hline + \end{array} & 0 \\ +0 & 0 & \begin{array}{|cc|} + \hline + c_{11} & c_{12} \\ + c_{21} & c_{22} \\ + \hline + \end{array} \\ +\end{array} +\right) +\] +\end{dogrid} +\end{center} + +\end{document} |