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.pdf     | Bin 24288 -> 26821 bytes
 buch/papers/multiplikation/images/bigo.tex     |  36 ++++++++++++++-----------
 buch/papers/multiplikation/images/strassen.pdf | Bin 15850 -> 19970 bytes
 buch/papers/multiplikation/images/strassen.tex |  14 +++++-----
 4 files changed, 28 insertions(+), 22 deletions(-)

(limited to 'buch/papers/multiplikation/images')

diff --git a/buch/papers/multiplikation/images/bigo.pdf b/buch/papers/multiplikation/images/bigo.pdf
index dfa2ba4..a2599fa 100644
Binary files a/buch/papers/multiplikation/images/bigo.pdf and b/buch/papers/multiplikation/images/bigo.pdf differ
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}
diff --git a/buch/papers/multiplikation/images/strassen.pdf b/buch/papers/multiplikation/images/strassen.pdf
index 9899dcb..a30fdaa 100644
Binary files a/buch/papers/multiplikation/images/strassen.pdf and b/buch/papers/multiplikation/images/strassen.pdf differ
diff --git a/buch/papers/multiplikation/images/strassen.tex b/buch/papers/multiplikation/images/strassen.tex
index 797772b..5cf39b4 100644
--- a/buch/papers/multiplikation/images/strassen.tex
+++ b/buch/papers/multiplikation/images/strassen.tex
@@ -81,13 +81,13 @@
 	\node at (-3,-10) {$C_{12}=$} ;
 	\node at (-3,-5) {$C_{11}=$} ;
 	
-	\node at (5,-2)  {I};
-	\node at (10,-2)  {II};
-	\node at (15,-2)  {III};
-	\node at (20,-2)  {IV};
-	\node at (25,-2)  {V};
-	\node at (30,-2)  {VI};
-	\node at (35,-2)  {VII};
+	\node at (5,-2)  {P};
+	\node at (10,-2)  {Q};
+	\node at (15,-2)  {R};
+	\node at (20,-2)  {S};
+	\node at (25,-2)  {T};
+	\node at (30,-2)  {U};
+	\node at (35,-2)  {V};
 }
 
 
-- 
cgit v1.2.1