aboutsummaryrefslogtreecommitdiffstats
path: root/buch/papers/multiplikation/images/bigo.tex
diff options
context:
space:
mode:
Diffstat (limited to 'buch/papers/multiplikation/images/bigo.tex')
-rw-r--r--buch/papers/multiplikation/images/bigo.tex112
1 files changed, 112 insertions, 0 deletions
diff --git a/buch/papers/multiplikation/images/bigo.tex b/buch/papers/multiplikation/images/bigo.tex
new file mode 100644
index 0000000..63fd0fd
--- /dev/null
+++ b/buch/papers/multiplikation/images/bigo.tex
@@ -0,0 +1,112 @@
+\documentclass[border=10pt,varwidth]{standalone}
+\usepackage[left=25mm,right=25mm,top=25mm,bottom=25mm]{geometry}
+\usepackage[utf8]{inputenc}
+\usepackage[T1]{fontenc}
+\usepackage{times}
+\usepackage{geometry}
+\usepackage{amsmath}
+\usepackage{amssymb}
+\usepackage{mathrsfs}
+\usepackage{amsfonts}
+\usepackage{amsthm}
+\usepackage{lipsum}
+\usepackage{amscd}
+\usepackage{graphicx}
+\usepackage{fancyhdr}
+\usepackage{textcomp}
+\usepackage{pgfplots}
+\usepackage{txfonts}
+\usepackage[all]{xy}
+\usepackage{paralist}
+\usepackage[colorlinks=true]{hyperref}
+\usepackage{array}
+\usepackage{tikz}
+\usepackage{slashed}
+\usepackage{pdfpages}
+\usepackage{cite}
+\usepackage{url}
+\usepackage{amsmath,amsfonts,amssymb}
+\usepackage{tikz}
+\usetikzlibrary{arrows,matrix,positioning}
+\usetikzlibrary{overlay-beamer-styles}
+\usetikzlibrary{matrix.skeleton}
+\usetikzlibrary{automata,positioning}
+\usetikzlibrary{decorations.text}
+\usepackage{listings}
+\usepackage{multirow}
+\usepackage{color}
+
+\begin{document}
+
+\begin{tikzpicture}
+
+\begin{axis}[
+ xmode=log, ymode=log,
+ xmin=1e-0, xmax=5000,
+ ymin=10e-1, ymax=1e7,
+ grid=both,
+ major grid style={black!50},
+ xlabel = data input size,
+ ylabel = {time},
+ legend pos=north west,
+ very thick,
+ yticklabels=\empty,
+ xticklabels=\empty,
+ scale only axis=true,
+ width=12cm, height=8cm,
+ legend cell align={left}
+ ]
+\addplot [
+ domain= 1:5000,
+ samples=100,
+ color=red,
+]
+{1};
+\addlegendentry{$\mathcal{O}(1)$}
+\addplot [
+ domain= 1:5000,
+ samples=100,
+ color=green,
+]
+{x};
+\addlegendentry{$\mathcal{O}(n)$}
+\addplot [
+ domain= 1:50000,
+ samples=100,
+ color=blue,
+]
+{x^2};
+\addlegendentry{$\mathcal{O}\left(n^2\right)$}
+\addplot [
+ domain= 1:500,
+ samples=100,
+ color=purple,
+]
+{x^3};
+\addlegendentry{$\mathcal{O}\left(n^3\right)$}
+\addplot [
+ domain= 1:500,
+ samples=100,
+ color=black,
+]
+{exp(x) - 1.7};
+\addlegendentry{$\mathcal{O}\left(e^n\right)$}
+\addplot [
+ domain= 1:5000,
+ samples=100,
+ color=orange,
+]
+{log2(x)+1};
+\addlegendentry{$\mathcal{O}(\log n)$}
+
+\addplot [
+ domain= 1:5000,
+ samples=100,
+ color=gray,
+]
+{x*log2(x)+1};
+\addlegendentry{$\mathcal{O}(n \log n)$}
+\end{axis}
+\end{tikzpicture}
+
+\end{document}