example.tex

\documentclass[10pt,aspectratio=169,dvipsnames]{beamer}
\usetheme[]{Karlsruhe}

\setbeamertemplate{footline}{
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\setbeamercovered{transparent}

\setbeamertemplate{footline}[
 myframe number]

% PACKAGES
\usepackage[absolute,overlay]{textpos}
\usepackage[utf8]{inputenc}
\usepackage[official]{eurosym}
\usepackage{booktabs}
\usepackage{parskip}
\usepackage{bm}
\usepackage{tikz}
\usepackage{adjustbox}

\usepackage[
    type={CC},
    modifier={by},
    version={4.0},
]{doclicense}

% HYPERREFERENCES
\usepackage{hyperref}
\hypersetup{
	colorlinks=true,
	citecolor=kit-blue100,
	linkcolor=kit-blue100,
	urlcolor=kit-blue100
}

% GRAPHICS	
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\DeclareGraphicsExtensions{.pdf,.jpeg,.png,.jpg}

% FORMATTING
\setlength{\parskip}{6pt}
\linespread{1.1}
\newcommand{\seprule}{\par\noindent\textcolor{black!25}{\rule{\textwidth}{0.4pt}}}

% SOURCES
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% COLOR TEXT
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\usepackage{array}% http://ctan.org/pkg/array
\makeatletter
\g@addto@macro{\endtabular}{\rowfont{}}% Clear row font
\makeatother
\newcommand{\rowfonttype}{}% Current row font
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\newcolumntype{L}{>{\rowfonttype}l}
\newcolumntype{R}{>{\rowfonttype}r}

% FONT
%\usepackage{utopia}

% REFERENCES
%\usepackage[backend=biber,style=authoryear-comp]{biblatex}
%\bibliography{references.bib}

% TITLE PAGE
\title{Title of the Presentation}

\author{\bf Max Mustermann}

\institute[The University of Tatooine] % (optional, but mostly needed)
{
  \normalsize
  \href{mailto:max.mustermann@tatooine.edu}{max.mustermann@tatooine.edu}\\
  The University of Tatooine\\
  Institute for Themes and Templates
}

\date{\today}

\subject{Modelling the European Energy System}

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\begin{document}

{
  \setbeamertemplate{footline}{} 
  \maketitle
}
\addtocounter{framenumber}{-1}

\begin{frame}
  \frametitle{Outline}
  \setbeamertemplate{section in toc}[sections numbered]
  \tableofcontents[hideallsubsections]
\end{frame}


\section{Bullet Point Section}

\begin{frame}{Enumerations}

\begin{enumerate}

\item Bullet point 1
\begin{itemize}
\item Bullet point 1
\item Bullet point 2
\item Bullet point 3
\end{itemize}
\item Bullet point 2
\begin{itemize}
\item Bullet point 1
\item Bullet point 2
\item Bullet point 3
\end{itemize}
\item Bullet point 3

\end{enumerate}

\source{\href{https://scholar.google.de/}{Google Scholar}}

\end{frame}

\section{Block Section}
\begin{frame}{Blocks}

\begin{block}{Regular Block}
\begin{itemize}
\item Bullet point 1
\item Bullet point 2
\end{itemize}
~\\
\end{block}

\begin{exampleblock}{Example Block}
\begin{itemize}
\item Bullet point 1
\item Bullet point 2
\end{itemize}
~\\
\end{exampleblock}

\begin{alertblock}{Alert Block}
\begin{itemize}
\item Bullet point 1
\item Bullet point 2
\end{itemize}
~\\

\end{alertblock}

\end{frame}

\section{Formula Section}

\begin{frame}{Mathematical Slides}


We have an \alert{objective function} $f: \mathbb{R}^k \to \mathbb{R}$
\begin{equation*}
  \max_{x} f(x)
\end{equation*}
[$x = (x_1, \dots x_k)$] subject to some \alert{constraints} within $\mathbb{R}^k$:
\begin{align*}
  g_i(x) & = c_i \hspace{1cm}\leftrightarrow\hspace{1cm} \lambda_i \hspace{1cm} i = 1,\dots n \\
  h_j(x) & \leq d_j \hspace{1cm}\leftrightarrow\hspace{1cm} \mu_j \hspace{1cm} j = 1,\dots m
\end{align*}

$\lambda_i$ and $\mu_j$ are the \alert{KKT multipliers} (basically Lagrange multipliers) we introduce for
each constraint equation; it measures the change in the objective value of the optimal solution obtained by relaxing the constraint (shadow price).

\end{frame}


\end{document}