diff --git a/src/template/presentation.tex b/src/template/presentation.tex index 9b342a3..bdb8416 100644 --- a/src/template/presentation.tex +++ b/src/template/presentation.tex @@ -80,40 +80,56 @@ \begin{frame} \frametitle{Relevante Theorie I} - \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*} + \begin{columns} + \column{\kitthreecolumns} + \begin{greenblock}{Zufallsvariablen (ZV)}% + \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} - \begin{figure} - \centering + \column{\kitthreecolumns} + \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} - \centering + \begin{greenblock}{Normalverteilung} + \begin{columns} + \column{\kitthreecolumns} \begin{gather*} \text{Normalverteilung:} \hspace{8mm} f_X(x) = \frac{1}{\sqrt{2\pi\sigma^2}} e^{-\frac{(x - \mu)^2}{2\sigma^2}} \end{gather*} - \end{subfigure}% - \begin{subfigure}[c]{0.4\textwidth} - \centering - \begin{tikzpicture} - \begin{axis}[ + + \column{\kitthreecolumns} + \begin{figure} + \centering + \begin{tikzpicture} + \begin{axis}[ domain=-4:4, samples=100, - width=\textwidth, - height=0.5\textwidth, + width=11cm, + height=6cm, ticks=none, xlabel={$x$}, ylabel={$f_X(x)$} - ] - \addplot+[mark=none, line width=1pt] {exp(-x^2)}; - \end{axis} - \end{tikzpicture} - \end{subfigure} - \end{figure} + ] + \addplot+[mark=none, line width=1pt] {exp(-x^2)}; + \end{axis} + \end{tikzpicture} + \end{figure} + \end{columns} + \end{greenblock} \end{frame} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%