Add green blocks to slides

This commit is contained in:
Andreas Tsouchlos 2025-10-22 22:56:08 +02:00
parent 36dea73341
commit aa60b9eabd

View File

@ -80,31 +80,46 @@
\begin{frame} \begin{frame}
\frametitle{Relevante Theorie I} \frametitle{Relevante Theorie I}
\begin{columns}
\column{\kitthreecolumns}
\begin{greenblock}{Zufallsvariablen (ZV)}%
\vspace*{-6mm}
\begin{gather*} \begin{gather*}
f_X(x) := \frac{d}{dx} F_X(x) \\ f_X(x) := \frac{d}{dx} F_X(x) \\
P(X \le x) = F_X(x) = \int_{-\infty}^{x} f_X(t) dt \\ P(X \le x) = F_X(x) = \int_{-\infty}^{x} f_X(t) dt \\
E(X) = \int_{-\infty}^{\infty} x\cdot f_X(x) dx E(X) = \int_{-\infty}^{\infty} x\cdot f_X(x) dx
\end{gather*} \end{gather*}
\end{greenblock}
\begin{figure} \column{\kitthreecolumns}
\centering \begin{greenblock}{Important Equations}%
\vspace*{-6mm}
\begin{gather*}
f_X(x) := \frac{d}{dx} F_X(x) \\
P(X \le x) = F_X(x) = \int_{-\infty}^{x} f_X(t) dt \\
E(X) = \int_{-\infty}^{\infty} x\cdot f_X(x) dx
\end{gather*}
\end{greenblock}
\end{columns}
\begin{subfigure}[c]{0.5\textwidth} \begin{greenblock}{Normalverteilung}
\centering \begin{columns}
\column{\kitthreecolumns}
\begin{gather*} \begin{gather*}
\text{Normalverteilung:} \hspace{8mm} \text{Normalverteilung:} \hspace{8mm}
f_X(x) = \frac{1}{\sqrt{2\pi\sigma^2}} f_X(x) = \frac{1}{\sqrt{2\pi\sigma^2}}
e^{-\frac{(x - \mu)^2}{2\sigma^2}} e^{-\frac{(x - \mu)^2}{2\sigma^2}}
\end{gather*} \end{gather*}
\end{subfigure}%
\begin{subfigure}[c]{0.4\textwidth} \column{\kitthreecolumns}
\begin{figure}
\centering \centering
\begin{tikzpicture} \begin{tikzpicture}
\begin{axis}[ \begin{axis}[
domain=-4:4, domain=-4:4,
samples=100, samples=100,
width=\textwidth, width=11cm,
height=0.5\textwidth, height=6cm,
ticks=none, ticks=none,
xlabel={$x$}, xlabel={$x$},
ylabel={$f_X(x)$} ylabel={$f_X(x)$}
@ -112,8 +127,9 @@
\addplot+[mark=none, line width=1pt] {exp(-x^2)}; \addplot+[mark=none, line width=1pt] {exp(-x^2)};
\end{axis} \end{axis}
\end{tikzpicture} \end{tikzpicture}
\end{subfigure}
\end{figure} \end{figure}
\end{columns}
\end{greenblock}
\end{frame} \end{frame}
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