218 lines
6.1 KiB
TeX
218 lines
6.1 KiB
TeX
\documentclass[UKenglish,aspectratio=169,logotop]{beamer}
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\usetheme{UnFUG}
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\usepackage{csquotes} % Quotation marks
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\usepackage{microtype} % Improved typography
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\usepackage{amssymb} % Mathematical symbols
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\usepackage{mathtools} % Mathematical symbols
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\usepackage[absolute, overlay]{textpos} % Arbitrary placement
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\setlength{\TPHorizModule}{\paperwidth} % Textpos units
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\setlength{\TPVertModule}{\paperheight} % Textpos units
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\usepackage{tikz}
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\usepackage{pgf}
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\usetikzlibrary{overlay-beamer-styles} % Overlay effects for TikZ
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\usetikzlibrary{positioning} % Positioning of nodes for TikZ
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\usetikzlibrary{arrows.meta} % more arrow styles
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\author{Valentin Weber}
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\title{Beamer example}
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\subtitle{Usage of the theme \texttt{UnFUG}}
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%\date{DD.MM.YYYY} % this is just a placeholder, use whatever format floats your boat
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%\customerlogo{path-to-image} % this is just a placeholder. Appears on the right side of the title page.
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%\mastodon{username}{instance} % this is just a placeholder. Will appear in username@instance format with a hyperlink to the profile included.
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\begin{document}
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\section{Overview}
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% Use
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%
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% \begin{frame}[allowframebreaks]{Title}
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%
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% if the TOC does not fit one frame.
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\begin{frame}{Table of contents}
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\tableofcontents
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\end{frame}
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\section{Mathematics}
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\subsection{Theorem}
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\begin{frame}{Mathematics}
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\begin{theorem}[Fermat's little theorem]
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For a prime~\(p\) and \(a \in \mathbb{Z}\) it holds that \(a^p \equiv a \pmod{p}\).
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\end{theorem}
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\begin{proof}
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The invertible elements in a field form a group under multiplication.
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In particular, the elements
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\begin{equation*}
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1, 2, \ldots, p - 1 \in \mathbb{Z}_p
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\end{equation*}
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form a group under multiplication modulo~\(p\).
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This is a group of order \(p - 1\).
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For \(a \in \mathbb{Z}_p\) and \(a \neq 0\) we thus get \(a^{p-1} = 1 \in \mathbb{Z}_p\).
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The claim follows.
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\end{proof}
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\end{frame}
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\subsection{Example}
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\begin{frame}{Mathematics}
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\begin{example}
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The function \(\phi \colon \mathbb{R} \to \mathbb{R}\) given by \(\phi(x) = 2x\) is continuous at the point \(x = \alpha\),
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because if \(\epsilon > 0\) and \(x \in \mathbb{R}\) is such that \(\lvert x - \alpha \rvert < \delta = \frac{\epsilon}{2}\),
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then
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\begin{equation*}
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\lvert \phi(x) - \phi(\alpha)\rvert = 2\lvert x - \alpha \rvert < 2\delta = \epsilon.
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\end{equation*}
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\end{example}
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\end{frame}
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\section{Highlighting}
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\SectionFrame
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\begin{frame}{Highlighting}
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Sometimes it is useful to \alert{highlight} certain words in the text.
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\begin{alertblock}{Important message}
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If a lot of text should be \alert{highlighted}, it is a good idea to put it in a box.
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\end{alertblock}
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It is easy to match the \structure{colour theme}.
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\end{frame}
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\section{Lists}
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\begin{frame}{Lists}
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\begin{itemize}
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\item
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Bullet lists are marked with a red box.
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\end{itemize}
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\begin{enumerate}
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\item
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\label{enum:item}
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Numbered lists are marked with a white number inside a red box.
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\end{enumerate}
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\begin{description}
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\item[Description] highlights important words with red text.
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\end{description}
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Items in numbered lists like \enumref{enum:item} can be referenced with a red box.
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\begin{example}
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\begin{itemize}
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\item
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Lists change colour after the environment.
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\end{itemize}
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\end{example}
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\vspace{2ex}
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\ConclusionArrow{Key messages or conclusions can be highlighted by using an arrow}
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\end{frame}
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\section{Effects}
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\begin{frame}{Effects}
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\begin{columns}[onlytextwidth]
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\begin{column}{0.49\textwidth}
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\begin{enumerate}[<+-|alert@+>]
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\item
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Effects that control
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\item
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when text is displayed
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\item
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are specified with <> and a list of slides.
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\end{enumerate}
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\begin{theorem}<2>
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This theorem is only visible on slide number 2.
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\end{theorem}
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\end{column}
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\begin{column}{0.49\textwidth}
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Use \textbf<2->{textblock} for arbitrary placement of objects.
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\pause
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\medskip
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It creates a box
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with the specified width (here in a percentage of the slide's width)
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and upper left corner at the specified coordinate (x, y)
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(here x is a percentage of width and y a percentage of height).
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\end{column}
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\end{columns}
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\begin{textblock}{0.3}(0.45, 0.55)
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\includegraphics<1, 3>[width = \textwidth]{unfug-images/Logo_unfug_sw.pdf}
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\end{textblock}
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\end{frame}
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\section{Diskussion und Fragen}
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\SectionFrameAlt
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\section{References}
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\begin{frame}[allowframebreaks]{References}
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\begin{thebibliography}{}
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% Article is the default.
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\setbeamertemplate{bibliography item}[book]
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\bibitem{Hartshorne1977}
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Hartshorne, R.
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\newblock \emph{Algebraic Geometry}.
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\newblock Springer-Verlag, 1977.
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\setbeamertemplate{bibliography item}[article]
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\bibitem{Helso2020}
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Helsø, M.
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\newblock \enquote{Rational quartic symmetroids}.
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\newblock \emph{Adv. Geom.}, 20(1):71--89, 2020.
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\setbeamertemplate{bibliography item}[online]
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\bibitem{HR2018}
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Helsø, M.\ and Ranestad, K.
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\newblock \emph{Rational quartic spectrahedra}, 2018.
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\newblock \url{https://arxiv.org/abs/1810.11235}
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\setbeamertemplate{bibliography item}[triangle]
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\bibitem{AM1969}
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Atiyah, M.\ and Macdonald, I.
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\newblock \emph{Introduction to commutative algebra}.
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\newblock Addison-Wesley Publishing Co., Reading, Mass.-London-Don
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Mills, Ont., 1969
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\setbeamertemplate{bibliography item}[text]
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\bibitem{Artin1966}
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Artin, M.
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\newblock \enquote{On isolated rational singularities of surfaces}.
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\newblock \emph{Amer. J. Math.}, 80(1):129--136, 1966.
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\end{thebibliography}
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\end{frame}
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\end{document}
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