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authorAndreas Müller <andreas.mueller@ost.ch>2021-07-28 08:07:03 +0200
committerGitHub <noreply@github.com>2021-07-28 08:07:03 +0200
commit9a8dcc1cf9aa0ddd918008e6f2421b48797c38ec (patch)
treeb5113260e190dfc7a94e4298bf6eb5ae21c08344 /buch/papers/multiplikation/images/bigo.tex
parentMerge pull request #50 from paschost/patch-1 (diff)
parentadded first part of paper and code (diff)
downloadSeminarMatrizen-9a8dcc1cf9aa0ddd918008e6f2421b48797c38ec.tar.gz
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Merge pull request #52 from Nunigan/master
Multiplikation #1
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+\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}[
+ axis lines = left,
+ xlabel = $n$ (Data Input),
+ ylabel = {$t$ (time)},
+ legend pos=north east,
+ very thick,
+ ymax = 500,
+ yticklabels=\empty,
+ xticklabels=\empty,
+ scale only axis=true,
+ width=12cm, height=6cm,
+ ]
+\addplot [
+ domain= 1:20,
+ samples=100,
+ color=red,
+]
+{1};
+\addlegendentry{$\mathcal{O}(1)$}
+\addplot [
+ domain= 1:20,
+ samples=100,
+ color=green,
+]
+{x};
+\addlegendentry{$\mathcal{O}(n)$}
+\addplot [
+ domain= 1:20,
+ samples=100,
+ color=blue,
+]
+{x^2};
+\addlegendentry{$\mathcal{O}(n^2)$}
+\addplot [
+ domain= 1:10,
+ samples=100,
+ color=purple,
+]
+{x^3};
+\addlegendentry{$\mathcal{O}(n^3)$}
+\addplot [
+ domain= 1:10,
+ samples=100,
+ color=black,
+]
+{exp(x)};
+\addlegendentry{$\mathcal{O}(e^n)$}
+\addplot [
+ domain= 1:20,
+ samples=100,
+ color=orange,
+]
+{log2(x)};
+\addlegendentry{$\mathcal{O}(\log n)$}
+
+\addplot [
+ domain= 1:20,
+ samples=100,
+ color=gray,
+]
+{x*log2(x)};
+\addlegendentry{$\mathcal{O}(n \log n)$}
+\end{axis}
+\end{tikzpicture}
+
+\end{document}