\documentclass[hyperref={pdfencoding=auto}]{beamer} % "Beamer" is a word used in Germany to mean video projector.
\usetheme{Berkeley} % Search online for beamer themes to find your favorite or use the Berkeley theme as in this file.
\usepackage{color} % It may be necessary to set PCTeX or whatever program you are using to output a .pdf instead of a .dvi file in order to see color on your screen.
\usepackage{amsfonts,amssymb,amsmath}
\usepackage{graphicx} % This package is needed if you wish to include external image files.
\theoremstyle{definition} % See Lesson Three of the LaTeX Manual for more on this kind of "proclamation."
\newtheorem*{dfn}{A Reasonable Definition}
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%beamertemplate
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\title{Authentication Codes}
\author{Abigail A. Villa\\ Skezeer John B. Paz}
\institute{Ph.D. Mathematics \\ De La Salle University\\ \texttt{abigail\[email protected] // skezeer\_john\[email protected]}}
\date{November 27, 2017}
% Remove the % from the previous line and change the date if you want a particular date to be displayed; otherwise, today's date is displayed by default.
\AtBeginSection[] % The commands within the following {} will be executed at the start of each section.
{
\begin{frame} % Within each "frame" there will be one or more "slides."
\frametitle{Outline} % This is the title of the outline.
\tableofcontents[pausesections] % This will display the table of contents and highlight the current section.
\end{frame}
} % Do not include the preceding set of commands if you prefer not to have a recurring outline displayed during your presentation.
\begin{document}
\begin{frame}
\titlepage
\end{frame}
\section{Orthogonal Array} % Since this is the start of a new section, our recurring outline will appear here.
\subsection[PRELIMS]{Preliminaries}
\begin{frame}
\frametitle{PRELIMINARIES}
\textbf{Latin Square}\\ \pause
A Latin square of order $n$ with entries from an $n-set~X$ is an $n \times n$ array $L$ in which every cell contains an element of $X$ such that every row of $L$ is a permutation of $X$ and every column of $L$ is a permutation of $X$.
\begin{block}{Example}
A Latin square of order 4.\\
\[
\begin{array}{|cccc|}
\hline
1&2&3&4\\
4&1&2&3\\
3&4&1&2\\
2&3&4&1\\
\hline
\end{array}
\]
\end{block}
\end{frame}
\begin{frame}
\textbf{Quasigroup}\\
\textbf{Definition:} Let $X$ be a finite set of cardinality $n$, and let $\circ$ be a binary operation defined on $X~(i.e., \circ: X\times X\longrightarrow X)$. We say that the pair $(X, \circ)$ is a quasigroup of order $n$ provided that the following two properties are satisfied:\\
\begin{enumerate}
\item For every $x,y\in X$, the equation $x\circ z=y$ has a unique solution for $z\in X$.\\
\item For every $x,y\in X$, the equation $z\circ x=y$ has a unique solution for $z\in X$.
\end{enumerate}
The \textit{operation table} of a binary operation $\circ$ defined on $X$ is the $|X| \times |X|$ array $A=(a_{x,y})$, where $a_{x,y}=x\circ y$
\end{frame}
\begin{frame}
\textbf{Idempotent/Symmetric quasigroup}\\
\textbf{Definition:} Suppose $(X,\circ)$ is a quasigroup. We say that $(X,\circ)$ is an \textit{idempotent quasigroup} if $x\circ x =x$ for all $x\in X$, and we say that $(X,\circ)$ is a \textit{symmetric quasigroup} if $x\circ y= y \circ x$ for al $x,y \in X$.
\end{frame}
\begin{frame}
These concepts can also be defined for Latin squares in the obvious way: A \textit{symmetric Latin square} $L=(\mathscr{l}_{x,y})$ .
\end{frame}
\end{document}
这是我一直在尝试的代码。请帮忙。谢谢
答案1
您可能希望\usepackage{mathrsfs}在前言中添加，即 after\documentclass和 before \begin{document}。但请注意，该\mathscr命令不支持小写字母，因此您可以替换\mathscr{l}为\mathscr{L}（或替换为\ell，如果您想要小写脚本l）。