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@@ -1,5 +1,5 @@
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\subsection{Idea}
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-\begin{frame}{The early days}
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+\begin{frame}{Basics}
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\begin{itemize}[<+->]
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\item Humans know what is good for them
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\item Humans create Websites
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@@ -18,6 +18,43 @@
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\end{itemize}
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\end{frame}
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+\framedgraphic{A brilliant idea}{../images/BrinPage.jpg}
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+
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+\begin{frame}{Ideas of PageRank}
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+ \begin{itemize}[<+->]
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+ \item Decisions of humans are complicated
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+ \item A lot of webpages get visited
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+ \item[$\Rightarrow$] modellize clicks on links as random behaviour
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+ \item Links are important
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+ \item Links of page A get less important, if A has many links
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+ \item Links of page A get more important, if many link to A
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+ \item[$\Rightarrow$] if B has a link from A, the rank of B increases by $\frac{Rank(A)}{Links(A)}$
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+ \end{itemize}
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+
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+ \pause[\thebeamerpauses]
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+
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+ \begin{algorithmic}
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+ \If{A links to B}
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+ \State $Rank(B)$ += $\frac{Rank(A)}{Links(A)}$
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+ \EndIf
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+ \end{algorithmic}
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+\end{frame}
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+
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+\begin{frame}{Ants}
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+ \begin{itemize}[<+->]
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+ \item Websites = nodes = anthill
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+ \item Links = edges = paths
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+ \item You place ants on each node
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+ \item They walk over the paths
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+ \item[] (at random, they are ants!)
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+ \item After some time, some anthills will have more ants than
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+ others
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+ \item Those hills are more attractive than others
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+ \item \# ants is probability that a random user would end on
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+ a website
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+ \end{itemize}
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+\end{frame}
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+
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\begin{frame}{Mathematics}
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Let $x$ be a web page. Then
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\begin{itemize}
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