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Diffstat (limited to '')
| -rw-r--r-- | buch/papers/reedsolomon/images/polynom2.tex | 88 |
1 files changed, 43 insertions, 45 deletions
diff --git a/buch/papers/reedsolomon/images/polynom2.tex b/buch/papers/reedsolomon/images/polynom2.tex index 4fdfc81..288b51c 100644 --- a/buch/papers/reedsolomon/images/polynom2.tex +++ b/buch/papers/reedsolomon/images/polynom2.tex @@ -1,51 +1,49 @@ -% polynome2 +% polynome %------------------- -%\documentclass[tikz]{standalone} -%\usepackage{amsmath} -%\usepackage{times} -%\usepackage{txfonts} -%\usepackage{pgfplots} -%\usepackage{csvsimple} -%\usetikzlibrary{arrows,intersections,math} +% Teiler für das Skalieren der Grafik /40 \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]; + } + + \def\hellpunkt#1{ + \fill[color=lightgray] #1 circle[radius=0.08]; + \draw #1 circle[radius=0.07]; + } + + \punkt{(1,8/\teiler)} + \hellpunkt{(2,15/\teiler)} + \hellpunkt{(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},{(7.832*\x^2-51.5*\x+121.668)/\teiler}); - \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)} + \def\erpunkt#1{ + \fill[color=red] #1 circle[radius=0.08]; + \draw #1 circle[radius=0.07]; + } + \erpunkt{(2,50/\teiler)} + \erpunkt{(3,37.66/\teiler)} - \draw(0,100/\teiler) -- (-0.1,100/\teiler) coordinate[label={left:$100$}]; - \draw(1,0) -- (1,-0.1) coordinate[label={below:$1$}]; - \end{tikzpicture} + \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} |