From 4313f2c207d5d60171898ccfd4c3b3d0d2fb4a75 Mon Sep 17 00:00:00 2001 From: Roy Seitz Date: Sun, 18 Apr 2021 17:49:56 +0200 Subject: =?UTF-8?q?Pr=C3=A4sentation=20feritg.?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- vorlesungen/slides/10/repetition.tex | 40 ++++-------------------------------- 1 file changed, 4 insertions(+), 36 deletions(-) (limited to 'vorlesungen/slides/10/repetition.tex') diff --git a/vorlesungen/slides/10/repetition.tex b/vorlesungen/slides/10/repetition.tex index c45d47b..7c007ca 100644 --- a/vorlesungen/slides/10/repetition.tex +++ b/vorlesungen/slides/10/repetition.tex @@ -1,5 +1,5 @@ % -% intro.tex -- Repetition Lie-Gruppen und -Algebren +% repetition.tex -- Repetition Lie-Gruppen und -Algebren % % (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule % Erstellt durch Roy Seitz @@ -101,51 +101,19 @@ \begin{align*} \uncover<4->{ X(t) } & - \uncover<4->{= \begin{pmatrix} 0 & t \\ 0 & 0 \end{pmatrix} } + \uncover<4->{= \begin{pmatrix} 0 & 1 \\ 0 & 0 \end{pmatrix} } \\ \uncover<5->{ Y(t) } & - \uncover<5->{= \begin{pmatrix} 0 & 0 \\ t & 0 \end{pmatrix} } + \uncover<5->{= \begin{pmatrix} 0 & 0 \\ 1 & 0 \end{pmatrix} } \\ \uncover<6->{ H(t) } & - \uncover<6->{= \begin{pmatrix} t & 0 \\ 0 & -t \end{pmatrix} } + \uncover<6->{= \begin{pmatrix} 1 & 0 \\ 0 & -1 \end{pmatrix} } \end{align*} \end{column} \end{columns} \end{frame} -\begin{frame}[t] - \setlength{\abovedisplayskip}{5pt} - \setlength{\belowdisplayskip}{5pt} - \frametitle{Repetition} - \vspace{-20pt} - \begin{block}{Offene Fragen} - \begin{itemize}[<+->] - \item Woher kommt die Exponentialfunktion? - \begin{fleqn} - \[ - \exp(At) - = - 1 - + At - + A^2\frac{t^2}{2} - + A^3\frac{t^3}{3!} - + \ldots - \] - \end{fleqn} - \item Wie löst man eine Matrix-DGL? - \begin{fleqn} - \[ - \dot\gamma(t) = A\gamma(t), - \qquad - \gamma(t) \in G \subset M_n - \] - \end{fleqn} - \item Was bedeutet $\exp(At)$? - \end{itemize} - \end{block} -\end{frame} - \egroup -- cgit v1.2.1