1 files changed, 48 insertions, 0 deletions
diff --git a/vorlesungen/slides/4/char2.tex b/vorlesungen/slides/4/char2.tex
new file mode 100644
index 0000000..2b5709a
--- /dev/null
+++ b/vorlesungen/slides/4/char2.tex
@@ -0,0 +1,48 @@
+%
+% char2.tex
+%
+% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+%
+\begin{frame}[t]
+\setlength{\abovedisplayskip}{5pt}
+\setlength{\belowdisplayskip}{5pt}
+\frametitle{Charakteristik 2}
+\vspace{-15pt}
+\begin{columns}[t,onlytextwidth]
+\begin{column}{0.48\textwidth}
+\begin{block}{Plus und Minus}
+\[
+x+x = 2x = 0
+\uncover<2->{\Rightarrow
+-x=x}
+\]
+\end{block}
+\uncover<3->{%
+\begin{block}{Quadrieren}
+In $\mathbb{F}_2$ ist $2=0$, d.h
+\[
+(x+y)^2
+=
+x^2 + 2xy + y^2
+\uncover<4->{=
+x^2 + y^2}
+\]
+für alle $x,y\in\Bbbk$
+\end{block}}
+\uncover<6->{%
+\begin{block}{Frobenius-Automorphismus}
+\[
+(x+y)^{2^n} = x^{2^n}+y^{2^n}
+\]
+\end{block}}
+\end{column}
+\begin{column}{0.48\textwidth}
+\uncover<5->{%
+\begin{block}{Pascal-Dreieck}
+\begin{center}
+\includegraphics[width=\textwidth]{../../buch/chapters/30-endlichekoerper/images/binomial2.pdf}
+\end{center}
+\end{block}}
+\end{column}
+\end{columns}
+\end{frame}