From 4614294614e6f6b38e0ca86e77871e75b4c26071 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Andreas=20M=C3=BCller?= <andreas.mueller@ost.ch>
Date: Tue, 16 Mar 2021 15:48:10 +0100
Subject: add new slides

---
 vorlesungen/slides/8/markov/google.tex | 123 ---------------------------------
 1 file changed, 123 deletions(-)
 delete mode 100644 vorlesungen/slides/8/markov/google.tex

(limited to 'vorlesungen/slides/8/markov/google.tex')

diff --git a/vorlesungen/slides/8/markov/google.tex b/vorlesungen/slides/8/markov/google.tex
deleted file mode 100644
index d1ec31d..0000000
--- a/vorlesungen/slides/8/markov/google.tex
+++ /dev/null
@@ -1,123 +0,0 @@
-%
-% google.tex
-%
-% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
-%
-\begin{frame}[t]
-\setlength{\abovedisplayskip}{5pt}
-\setlength{\belowdisplayskip}{5pt}
-\frametitle{Google-Matrix}
-\vspace{-20pt}
-\begin{columns}[t,onlytextwidth]
-\begin{column}{0.48\textwidth}
-\begin{center}
-\begin{tikzpicture}[>=latex,thick]
-
-\def\r{2.4}
-\coordinate (A) at (0,0);
-\coordinate (B) at (0:\r);
-\coordinate (C) at (60:\r);
-\coordinate (D) at (120:\r);
-\coordinate (E) at (180:\r);
-
-\foreach \a in {2,...,5}{
-	\fill[color=white] ({60*(\a-2)}:\r) circle[radius=0.2];
-	\draw ({60*(\a-2)}:\r) circle[radius=0.2];
-	\node at ({60*(\a-2)}:\r) {$\a$};
-}
-\fill[color=white] (A) circle[radius=0.2];
-\draw (A) circle[radius=0.2];
-\node at (A) {$1$};
-
-{\color<6>{red}
-	\draw[->,shorten >= 0.2cm,shorten <= 0.2cm] (A) -- (B);
-	\draw[->,shorten >= 0.2cm,shorten <= 0.2cm] (A) -- (C);
-}
-
-{\color<7>{red}
-	\draw[->,shorten >= 0.2cm,shorten <= 0.2cm] (B) -- (C);
-	\draw[->,shorten >= 0.2cm,shorten <= 0.2cm] (B) to[out=-150,in=-30] (E);
-}
-
-{\color<8>{red}
-	\draw[->,shorten >= 0.2cm,shorten <= 0.2cm] (C) to[out=-90,in=30] (A);
-	\draw[->,shorten >= 0.2cm,shorten <= 0.2cm] (C) to[out=-30,in=90] (B);
-}
-
-{\color<9>{red}
-	\draw[->,shorten >= 0.2cm,shorten <= 0.2cm] (D) -- (C);
-	\draw[->,shorten >= 0.2cm,shorten <= 0.2cm] (D) -- (A);
-	\draw[->,shorten >= 0.2cm,shorten <= 0.2cm] (D) -- (E);
-}
-
-{\color<10>{red}
-	\draw[->,shorten >= 0.2cm,shorten <= 0.2cm] (E) -- (A);
-	\draw[->,shorten >= 0.2cm,shorten <= 0.2cm] (E) to[out=90,in=-150] (D);
-}
-
-\end{tikzpicture}
-\end{center}
-\vspace{-10pt}
-\renewcommand{\arraystretch}{1.1}
-\uncover<5->{
-\begin{align*}
-H&=\begin{pmatrix}
-\uncover<6->{0          }
-	&\uncover<7->{0          }
-	&\uncover<8->{{\color<8>{red}\frac{1}{2}}}
-	&\uncover<9->{{\color<9>{red}\frac{1}{3}}}
-	&\uncover<10->{{\color<10>{red}\frac{1}{2}}}\\
-\uncover<6->{{\color<6>{red}\frac{1}{2}}}
-	&\uncover<7->{0          }
-	&\uncover<8->{{\color<8>{red}\frac{1}{2}}}
-	&\uncover<9->{0          }
-	&\uncover<10->{0          }\\
-\uncover<6->{{\color<6>{red}\frac{1}{2}}}
-	&\uncover<7->{{\color<7>{red}\frac{1}{2}}}
-	&\uncover<8->{0          }
-	&\uncover<9->{{\color<9>{red}\frac{1}{3}}}
-	&\uncover<10->{0          }\\
-\uncover<6->{0          }
-	&\uncover<7->{0          }
-	&\uncover<8->{0          }
-	&\uncover<9->{0          }
-	&\uncover<10->{{\color<10>{red}\frac{1}{2}}}\\
-\uncover<6->{0          }
-	&\uncover<7->{{\color<7>{red}\frac{1}{2}}}
-	&\uncover<8->{0          }
-	&\uncover<9->{{\color<9>{red}\frac{1}{3}}}
-	&\uncover<10->{0          }
-\end{pmatrix}
-\\
-\uncover<11->{
-h_{ij}
-&=
-\frac{1}{\text{Anzahl Links ausgehend von $j$}}
-}
-\end{align*}}
-\end{column}
-\begin{column}{0.48\textwidth}
-\begin{block}{Aufgabe}
-Bestimme die Wahrscheinlichkeit $p(i)$, mit der sich ein Surfer
-auf der Website $i$ befindet
-\end{block}
-\uncover<2->{
-\begin{block}{Navigation}
-$p(i) = P(i,\text{vor Navigation})$,
-\uncover<3->{$p'(i)=P(i,\text{nach Navigation})$}
-\uncover<4->{
-\[
-p'(i) = \sum_{j=1}^n h_{ij} p(j)
-\]}
-\end{block}}
-\vspace{-15pt}
-\begin{block}{Freier Wille}
-\vspace{-12pt}
-\[
-G = \alpha H + (1-\alpha)\frac{UU^t}{n}
-\]
-Google-Matrix
-\end{block}
-\end{column}
-\end{columns}
-\end{frame}
-- 
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