From a4817013b542cd6aa1a0cd955806c82ac337dca6 Mon Sep 17 00:00:00 2001
From: Nunigan <michael.schmid2@ost.ch>
Date: Wed, 28 Jul 2021 22:27:27 +0200
Subject: added corrections from prof mueller

---
 buch/papers/multiplikation/images/bigo.tex | 36 +++++++++++++++++-------------
 1 file changed, 21 insertions(+), 15 deletions(-)

(limited to 'buch/papers/multiplikation/images/bigo.tex')

diff --git a/buch/papers/multiplikation/images/bigo.tex b/buch/papers/multiplikation/images/bigo.tex
index e3293e4..71826f5 100644
--- a/buch/papers/multiplikation/images/bigo.tex
+++ b/buch/papers/multiplikation/images/bigo.tex
@@ -39,67 +39,73 @@
 \begin{document}
 
 \begin{tikzpicture}
+
 \begin{axis}[
-    axis lines = left,
+    xmode=log,
+   ymode=log,
+   log ticks with fixed point,
     xlabel = $n$ (Data Input),
     ylabel = {$t$ (time)},
     legend pos=north east,
     very thick,
-    ymax = 500,
+    grid=minor,
+    ymax = 100000,
+    ymin = 0.5,
+    xmin = 1,
     yticklabels=\empty,
     xticklabels=\empty,
     scale only axis=true,
   width=12cm, height=6cm,
     ]
 \addplot [
-    domain= 1:20,
+    domain= 1:50,
     samples=100,
     color=red,
 ]
 {1};
 \addlegendentry{$\mathcal{O}(1)$}
 \addplot [
-    domain= 1:20,
+    domain= 1:50,
     samples=100,
     color=green,
 ]
 {x};
 \addlegendentry{$\mathcal{O}(n)$}
 \addplot [
-    domain= 1:20,
+    domain= 1:50,
     samples=100,
     color=blue,
 ]
 {x^2};
-\addlegendentry{$\mathcal{O}(n^2)$}
+\addlegendentry{$\mathcal{O}\left(n^2\right)$}
 \addplot [
-    domain= 1:10,
+    domain= 1:50,
     samples=100,
     color=purple,
 ]
 {x^3};
-\addlegendentry{$\mathcal{O}(n^3)$}
+\addlegendentry{$\mathcal{O}\left(n^3\right)$}
 \addplot [
-    domain= 1:10,
+    domain= 1:50,
     samples=100,
     color=black,
 ]
-{exp(x)};
-\addlegendentry{$\mathcal{O}(e^n)$}
+{exp(x) - 1.7};
+\addlegendentry{$\mathcal{O}\left(e^n\right)$}
 \addplot [
-    domain= 1:20,
+    domain= 1:50,
     samples=100,
     color=orange,
 ]
-{log2(x)};
+{log2(x)+1};
 \addlegendentry{$\mathcal{O}(\log n)$}
 
 \addplot [
-    domain= 1:20,
+    domain= 1:50,
     samples=100,
     color=gray,
 ]
-{x*log2(x)};
+{x*log2(x)+1};
 \addlegendentry{$\mathcal{O}(n \log n)$}
 \end{axis}
 \end{tikzpicture}
-- 
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