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-rw-r--r--buch/papers/reedsolomon/images/polynom2.tex51
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diff --git a/buch/papers/reedsolomon/images/polynom2.tex b/buch/papers/reedsolomon/images/polynom2.tex
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+% polynome2
+%-------------------
+\documentclass[tikz]{standalone}
+\usepackage{amsmath}
+\usepackage{times}
+\usepackage{txfonts}
+\usepackage{pgfplots}
+\usepackage{csvsimple}
+\usetikzlibrary{arrows,intersections,math}
+\newcommand{\teiler}{40}
+\begin{document}
+% Übertragen von den Zahlen
+% \textcolor{blue}{2}, \textcolor{blue}{1}, \textcolor{blue}{5}
+% als $ p(x) = \textcolor{blue}{2}x^2 + \textcolor{blue}{1}x + \textcolor{blue}{5} $.\newline
+% Versende $ (p(1),p(2),...,p(7)) = (\textcolor{green}{8},
+% \textcolor{green}{15}, \textcolor{green}{26},
+% \textcolor{green}{ 41}, \textcolor{green}{60},
+% \textcolor{green}{83}, \textcolor{green}{110})$
+
+
+ \begin{tikzpicture}[>=latex,thick]
+ \draw[color=blue, line width=1.4pt]
+ plot[domain=0:8, samples=100]
+ ({\x},{(2*\x^2+1*\x+5)/\teiler});
+ \draw[->] (-0.2,0) -- (8,0) coordinate[label={$x$}];
+ \draw[->] (0,-0.2) -- (0,150/\teiler) coordinate[label={right:$p(x)$}];
+ \def\punkt#1{
+ \fill[color=green] #1 circle[radius=0.08];
+ \draw #1 circle[radius=0.07];
+ }
+ \punkt{(1,8/\teiler)}
+ %\punkt{(2,15/\teiler)}
+ %\punkt{(3,26/\teiler)}
+ \punkt{(4,41/\teiler)}
+ \punkt{(5,60/\teiler)}
+ \punkt{(6,83/\teiler)}
+ \punkt{(7,110/\teiler)}
+ \draw[color=gray,line width=1pt,dashed]
+ plot[domain=0.5:7, samples=100]
+ ({\x},{(0.1958*\x^2-1.2875*\x+3.0417)});
+ \def\erpunkt#1{
+ \fill[color=red] #1 circle[radius=0.08];
+ \draw #1 circle[radius=0.07];
+ }
+ \erpunkt{(2,50/\teiler)}
+ \erpunkt{(3,0.9414)}
+
+ \draw(0,100/\teiler) -- (-0.1,100/\teiler) coordinate[label={left:$100$}];
+ \draw(1,0) -- (1,-0.1) coordinate[label={below:$1$}];
+ \end{tikzpicture}
+\end{document}