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Diffstat (limited to 'vorlesungen/slides/3/operatoren.tex')
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diff --git a/vorlesungen/slides/3/operatoren.tex b/vorlesungen/slides/3/operatoren.tex new file mode 100644 index 0000000..d646353 --- /dev/null +++ b/vorlesungen/slides/3/operatoren.tex @@ -0,0 +1,51 @@ +% +% operatoren.tex +% +% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule +% +\begin{frame}[t] +\frametitle{$X$ als Operator} +\begin{columns}[t,onlytextwidth] +\begin{column}{0.38\textwidth} +\begin{block}{Polynome} +$a(X)=a_0+a_1X+\dots+a_nX^n$ +\uncover<2->{% +\[ +a(X) += +\begin{pmatrix} +a_0\\a_1\\a_2\\a_3\\\vdots\\a_n +\end{pmatrix} +\]} +\end{block} +\end{column} +\begin{column}{0.58\textwidth} +\uncover<3->{% +\begin{block}{Multiplikation mit $X$} +\strut +\[ +\begin{pmatrix} +1\\0\\0\\0\\\vdots\\0 +\end{pmatrix} +\uncover<4->{\overset{\cdot X}{\mapsto} +\begin{pmatrix} +0\\1\\0\\0\\\vdots\\0 +\end{pmatrix}} +\uncover<5->{\overset{\cdot X}{\mapsto} +\begin{pmatrix} +0\\0\\1\\0\\\vdots\\0 +\end{pmatrix}} +\uncover<6->{\overset{\cdot X}{\mapsto} +\begin{pmatrix} +0\\0\\0\\1\\\vdots\\0 +\end{pmatrix}} +\uncover<7->{\overset{\cdot X}{\mapsto}\dots} +\uncover<8->{\overset{\cdot X}{\mapsto} +\begin{pmatrix} +0\\0\\0\\0\\\vdots\\1 +\end{pmatrix}} +\] +\end{block}} +\end{column} +\end{columns} +\end{frame} |