presentation.tex

%!TEX output_directory = tmp
\documentclass[11pt, aspectratio=169]{beamer}

\usepackage{ITMOtemplate}
\pdfstringdefDisableCommands{\let\uppercase\@firstofone}

\graphicspath{{figs/}}

\title{Beamer presentation template in the corporate style of ITMO University}

\author[Author, Another]{
    \hfill
    {\bf First~A. Author}\inst{1}
    \hfill
    Second~A. Author\inst{2}
    \hfill
}

\institute[ITMO University] % (optional, but mostly needed)
{
    \hfill
    \begin{minipage}[t]{0.4\textwidth}
        \centering{\inst{1}%
        Faculty/Department, ITMO University}
    \end{minipage}
    \hfill
    \begin{minipage}[t]{0.4\textwidth}
        \centering{\inst{2}%
        Faculty/Department, ITMO University}
    \end{minipage}
    \hfill
 }

\date[Occasion]{16-18 September 2020 \\ 28th Saint Petersburg Conference on Control and Automation}

\begin{document}

\frame{\titlepage}

\begin{frame}{Table of Contents}
    \tableofcontents
\end{frame}

\section{Mathematics}
\subsection{Theorem}


\begin{frame}{Mathematics}
    \begin{theorem}[Fermat's little theorem]
        For a prime~\(p\) and \(a \in \mathbb{Z}\) it holds that \(a^p \equiv a \pmod{p}\).
    \end{theorem}

    \begin{proof}
        The invertible elements in a field form a group under multiplication.
        In particular, the elements
        \begin{equation*}
            1, 2, \ldots, p - 1 \in \mathbb{Z}_p
        \end{equation*}
        form a group under multiplication modulo~\(p\).
        This is a group of order \(p - 1\).
        For \(a \in \mathbb{Z}_p\) and \(a \neq 0\) we thus get \(a^{p-1} = 1 \in \mathbb{Z}_p\).
        The claim follows.
    \end{proof}
\end{frame}


\subsection{Example}


\begin{frame}{Mathematics}
    \begin{example}
        The function \(\phi \colon \mathbb{R} \to \mathbb{R}\) given by \(\phi(x) = 2x\) is continuous at the point \(x = \alpha\),
        because if \(\epsilon > 0\) and \(x \in \mathbb{R}\) is such that \(\lvert x - \alpha \rvert < \delta = \frac{\epsilon}{2}\),
        then
        \begin{equation*}
            \lvert \phi(x) - \phi(\alpha)\rvert = 2\lvert x - \alpha \rvert < 2\delta = \epsilon.
        \end{equation*}
    \end{example}
\end{frame}


\section{Highlighting}


\begin{frame}{Highlighting}
    Sometimes it is useful to \boxalert{highlight} certain words in the text.

    \begin{alertblock}{Important}
        If a lot of text should be \alert{highlighted}, it is a good idea to put it in a box.
    \end{alertblock}


    It is easy to match the \structure{colour theme}.
\end{frame}


\section{Lists}


\begin{frame}{Lists}
    \begin{fancylist}
        \item Fancy lists are marked with a number inside a circle.
    \end{fancylist}

    \begin{fancylist}[color=ITMOMango]
        \item Color of list changes by parameter [color=ITMOMango].
    \end{fancylist}

    \begin{itemize}
        \item
        Bullet lists are marked with a red box.
    \end{itemize}

    \begin{enumerate}
        \item
        Numbered lists are marked with a white number inside a red box.
    \end{enumerate}
\end{frame}


\section{Effects}


\begin{frame}{Effects}
    \begin{columns}[onlytextwidth]
        \begin{column}{0.49\textwidth}
            \begin{enumerate}[<+-|alert@+>]
                \item
                Effects that control

                \item
                when text is displayed

                \item
                are specified with $<>$ and a list of slides.
            \end{enumerate}

            \begin{theorem}<2>
                This theorem is only visible on slide number 2.
            \end{theorem}
        \end{column}
        \begin{column}{0.49\textwidth}
            Use \textbf<2->{textblock} for arbitrary placement of objects.

            \pause
            \medskip

            It creates a box
            with the specified width (here in a percentage of the slide's width)
            and upper left corner at the specified coordinate (x, y)
            (here x is a percentage of width and y a percentage of height).
        \end{column}
    \end{columns}
\end{frame}

\end{document}