diff options
author | Roy Seitz <roy.seitz@ost.ch> | 2021-02-22 08:48:36 +0100 |
---|---|---|
committer | Roy Seitz <roy.seitz@ost.ch> | 2021-02-22 08:48:36 +0100 |
commit | a82da67587b049e54dcd53e76b4220d22a60d842 (patch) | |
tree | 8b0717987839cf0e6cac6c4297f95f94f695f247 /vorlesungen/slides/1/hadamard.tex | |
parent | Typos. (diff) | |
parent | add ende (diff) | |
download | SeminarMatrizen-a82da67587b049e54dcd53e76b4220d22a60d842.tar.gz SeminarMatrizen-a82da67587b049e54dcd53e76b4220d22a60d842.zip |
Merge remote-tracking branch 'origin/master'
Diffstat (limited to '')
-rw-r--r-- | vorlesungen/slides/1/hadamard.tex | 51 |
1 files changed, 51 insertions, 0 deletions
diff --git a/vorlesungen/slides/1/hadamard.tex b/vorlesungen/slides/1/hadamard.tex new file mode 100644 index 0000000..5cb692a --- /dev/null +++ b/vorlesungen/slides/1/hadamard.tex @@ -0,0 +1,51 @@ +% +% hadamard.tex +% +% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule +% +\begin{frame}[t] +\frametitle{Hadamard-Algebra} +\begin{block}{Alternatives Produkt: Hadamard-Produkt} +\[ +\begin{pmatrix} +a_{11}&\dots&a_{1n}\\ +\vdots&\ddots&\vdots\\ +a_{m1}&\dots&a_{mn}\\ +\end{pmatrix} +\odot +\begin{pmatrix} +b_{11}&\dots&b_{1n}\\ +\vdots&\ddots&\vdots\\ +b_{m1}&\dots&b_{mn}\\ +\end{pmatrix} += +\begin{pmatrix} +a_{11}b_{11}&\dots&a_{1n}b_{1n}\\ +\vdots&\ddots&\vdots\\ +a_{m1}b_{m1}&\dots&a_{mn}b_{mn}\\ +\end{pmatrix} +\] +\end{block} +\vspace{-10pt} +\begin{columns}[t,onlytextwidth] +\begin{column}{0.58\textwidth} +\uncover<2->{% +\begin{block}{Algebra} +\begin{itemize} +\item<3-> $M_{mn}(\Bbbk)$ ist eine Algebra mit +$\odot$ als Produkt +\item<4-> Neutrales Element $U$: Matrix aus lauter Einsen +\item<5-> Anwendung: Wahrscheinlichkeitsmatrizen +\end{itemize} +\end{block}} +\end{column} +\begin{column}{0.38\textwidth} +\uncover<6->{% +\begin{block}{Nicht so interessant} +Die Hadamard-Algebra ist kommutativ +\uncover<7->{$\Rightarrow$ +kann ``keine'' interessanten algebraischen Relationen darstellen} +\end{block}} +\end{column} +\end{columns} +\end{frame} |