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| author | Pascal Schmid <81317360+paschost@users.noreply.github.com> | 2021-05-30 15:08:15 +0200 |
|---|---|---|
| committer | GitHub <noreply@github.com> | 2021-05-30 15:08:15 +0200 |
| commit | 345d5751330bc1b50cc532b8ef4634ed4f8b7560 (patch) | |
| tree | 50b90c758ba9ba2312744edf98e67085be27c25f /vorlesungen/slides/8/wavelets/matrixdilatation.tex | |
| parent | fixed first section content (diff) | |
| parent | Merge pull request #18 from TReichlin/master (diff) | |
| download | SeminarMatrizen-345d5751330bc1b50cc532b8ef4634ed4f8b7560.tar.gz SeminarMatrizen-345d5751330bc1b50cc532b8ef4634ed4f8b7560.zip | |
Merge branch 'master' into part_verkehr
Diffstat (limited to '')
| -rw-r--r-- | vorlesungen/slides/8/wavelets/matrixdilatation.tex | 39 |
1 files changed, 39 insertions, 0 deletions
diff --git a/vorlesungen/slides/8/wavelets/matrixdilatation.tex b/vorlesungen/slides/8/wavelets/matrixdilatation.tex new file mode 100644 index 0000000..3536736 --- /dev/null +++ b/vorlesungen/slides/8/wavelets/matrixdilatation.tex @@ -0,0 +1,39 @@ +% +% matrixdilatation.tex -- slide template +% +% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule +% +\bgroup +\begin{frame}[t] +\setlength{\abovedisplayskip}{5pt} +\setlength{\belowdisplayskip}{5pt} +\frametitle{Dilatation in Matrixform} +Dilatationsfaktor $a$, skaliertes Wavelet beim Knoten $k$ mit Spektrum +$\tilde{D}_{1/a}g$ +\begin{align*} +D_{g,a}e_k +&= +\chi +\begin{pmatrix} +g(a\lambda_1)& 0 & \dots & 0 \\ + 0 &g(a\lambda_2)& \dots & 0 \\ + \vdots & \vdots & \ddots & \vdots \\ + 0 & 0 & \dots &g(a\lambda_n) +\end{pmatrix} +\chi^t +e_k +\intertext{\uncover<2->{``verschmierter'' Standardbasisvektor am Knoten $k$}} +\uncover<2->{D_he_k +&= +\chi +\begin{pmatrix} +h(\lambda_1)& 0 & \dots & 0 \\ + 0 &h(\lambda_2)& \dots & 0 \\ + \vdots & \vdots & \ddots & \vdots \\ + 0 & 0 & \dots &h(\lambda_n) +\end{pmatrix} +\chi^t +e_k} +\end{align*} +\end{frame} +\egroup |