Differences

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--- user:mcooper6:latexsyntax [2010/09/27 01:02] – mcooper6
+++ user:mcooper6:latexsyntax [2011/11/11 20:02] (current) – [yet more] mcooper6
@@ Line 1: / Line 1: @@
+Matt's Latex Playground Page
+This page may turn into a tutorial
+A latex example:
+<latex>
+\frac{1+\frac{1}{x}}{3x + 2}
+\dbinom{9}{3}
+</latex>
+=====Pictures=====
+<latex>
+\setlength{\unitlength}{0.8cm}
+\begin{picture}(6,4)(-3,-2)
+\put(-2.5,0){\vector(1,0){5}}
+\put(2.7,-0.1){$\chi$}
+\put(0,-1.5){\vector(0,1){3}}
+\put(0.2,1.4){$\beta=v/c=\tanh\chi$}
+\qbezier(0,0)(0.8853,0.8853)(2,0.9640)
+\qbezier(0,0)(-0.8853,-0.8853)(-2,-0.9640)
+\end{picture}
+</latex>
+\\
+\\
+<latex>
+\setlength{\unitlength}{0.8cm}
+\begin{picture}(6,5)
+\thicklines
+\put(1,0.5){\line(2,1){3}}
+\put(4,2){\line(-2,1){2}}
+\put(2,3){\line(-2,-5){1}}
+\put(0.7,0.3){$A$}
+\put(4.05,1.9){$B$}
+\put(1.7,2.95){$C$}
+\put(3.1,2.5){$a$}
+\put(1.3,1.7){$b$}
+\put(2.5,1.05){$c$}
+\put(0.3,4){$F=
+\sqrt{s(s-a)(s-b)(s-c)}$}
+\put(3.5,0.4){$\displaystyle
+s:=\frac{a+b+c}{2}$}
+\end{picture}
+\\
+\\
+\setlength{\unitlength}{0.8cm}
+\begin{picture}(6,4)(-3,-2)
+\put(-2.5,0){\vector(1,0){5}}
+\put(2.7,-0.1){$\chi$}
+\put(0,-1.5){\vector(0,1){3}}
+\multiput(-2.5,1)(0.4,0){13}
+{\line(1,0){0.2}}
+\multiput(-2.5,-1)(0.4,0){13}
+{\line(1,0){0.2}}
+\put(0.2,1.4)
+{$\beta=v/c=\tanh\chi$}
+\qbezier(0,0)(0.8853,0.8853)
+(2,0.9640)
+\qbezier(0,0)(-0.8853,-0.8853)
+(-2,-0.9640)
+\put(-3,-2){\circle*{0.2}}
+\end{picture}
+</latex>
+=====Matrices=====
+<latex>
+The characteristic polynomial $f(\lambda)$ of the
+$3 \times 3$ matrix
+\[
+\left(
+\begin{array}{ccc}
+a & b & c \\
+d & e & f \\
+g & h & i \end{array}
+\right)\]
+is given by the equation
+\[ f(\lambda)
+= \left|
+\begin{array}{ccc}
+\lambda - a & -b & -c \\
+-d & \lambda - e & -f \\
+-g & -h & \lambda - i \end{array}
+\right|.\]
+</latex>
+====shorthand matrices=====
+<latex>
+The characteristic polynomial $f(\lambda)$ of the
+$3 \times 3$ matrix
+\[
+\begin{pmatrix}
+a & b & c \\
+d & e & f \\
+g & h & i
+\end{pmatrix} \]
+is given by the equation
+\[ f(\lambda)
+= \begin{vmatrix}
+\lambda - a & -b & -c \\
+-d & \lambda - e & -f \\
+-g & -h & \lambda - i
+\end{vmatrix}.\]
+</latex>
+=====An equation I hope to display in a block====
+<latex>
+\begin{array}{2}
+-1(3x +  y  - 3z = 11)\\
+\underline{+3x - 3y + 2z = 11}\\
+.\end{array} \\
+\theta
+</latex>
+<latex>
+    (3x - 3y + 2z = 11)+(-1(3x +  y  - 3z = 11))=> -4y + 5z = 0
+\cdots
+\ddots
+</latex>
+=====One more=====
+<latex>
+    \frac{3}{4 \pi}   \sqrt{4 \cdot x^2   12}\\
+    \lim_{n \to \infty}
+    \sum_{k=1}^n \frac{1}{k^2} = \frac{\pi^2}{6}\\
+    \it{f}(x) = \frac{1}{\sqrt{x} x^2}\\
+    e^{i \pi} + 1 = 0\;
+</latex>
+=====Other math I'm not familiar with=====
+<latex>
+ $ \begin{align*}
+\int x^2 dx & = \frac{1}{3}x^3\\
+\therefore\quad\int_0^1 x^2 dx &= \frac{1}{3}
+\end{align*}
+$
+</latex>
+And some more:
+<latex>
+\begin{tabular}{|l|l|p{9cm}|}
+\hline
+option & variants & explanation \\
+\hline
+id & unique string & Identifies the user uniquely.\\
+\hline
+logmask & ALL & Log everything \\
+\cline{2-3}
+& DBG & Log only debug \\
+\cline{2-3}
+& WARN & Log only warning messages \\
+\hline
+printTID & flag & Print Thread ID or not.\\
+\hline
+prefix & any string & With this will be prefixed all messages of this user.\\
+\hline
+p & p & p \\
+\hline
+p & p & p \\
+\hline
+p & p & p \\
+\hline
+p & p & p \\
+\hline
+\end{tabular}
+</latex>
+\\
+=====More ...=====
+\\
+\\
+<latex>
+\setlength{\unitlength}{0.8cm}
+\begin{picture}(6,4)(-3,-2)
+\put(-2.5,0){\vector(1,0){5}}
+\put(2.7,-0.1){$\chi$}
+\put(0,-1.5){\vector(0,1){3}}
+\put(0.2,1.4){$\beta=v/c=\tanh\chi$}
+\qbezier(0,0)(0.8853,0.8853)(2,0.9640)
+\qbezier(0,0)(-0.8853,-0.8853)(-2,-0.9640)
+\end{picture}
+</latex>
+=====yet more=====
+<latex>
+\documentclass[14pt]{article}
+\usepackage{amsmath}
+\usepackage{amsfonts}
+\usepackage{eurosym}
+\usepackage{ucs}
+\usepackage[utf8x]{inputenc}
+\usepackage{amssymb}
+\pagestyle{empty}
+\begin{document}
+$a^2+b^2=c^2$
+\Latex2e\ ist nett!
+\end{document}
+</latex>

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