Presentation
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04/Solution #04/Presentation.pdf
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04/Solution #04/Presentation.pdf
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04/Solution #04/Presentation/Presentacion.tex
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04/Solution #04/Presentation/Presentacion.tex
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%%Tema para beamer "Imunam", versión 1.0
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\documentclass{beamer}
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\usepackage[utf8]{inputenc}
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\usepackage[T1]{fontenc}
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\usepackage[spanish]{babel}
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\graphicspath{ {images/} }
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\usepackage{mathtools}
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\usepackage{tikz}
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%% Logos de restaurantes:
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\newcommand{\logomanekin}{images/logomanekin}
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%%Se define el "environment" teorema
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%% The "environment" theorem is defined
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\newtheorem{Formula}{Formula}
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%%Tema de beamer "Imunam"
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%% Theme of beamer "Imunam"
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\usetheme[cuernavaca]{Imunam}
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%\usetheme{Imunam}
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%%Si se omite "[cuernavaca]" en éste comando, el logotipo se imprime sin la
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%%leyenda "Unidad Cuernavaca" en la parte inferior.
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%% If "[cuernavaca]" is omitted in this command, the logo is printed without the
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%% legend "Cuernavaca Unit" in the lower part.
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\title{Proof of the Pythagoras theorem.}
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\author{Enrique Andrade Gonzalez %Nombre del autor % Author's name
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\texttt{e.andrade@udc.es}} %email
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\date{Computer tools in mathematican's work} %subject
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%\institute{Instituto de Matemáticas, unidad Cuernavaca}
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%%Instituto del ponenete, dado que el texto "Intituto de matemáticas" aparece
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%%en el logo, parece redundante incluirlo además con éste comando.
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\begin{document}
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\begin{frame}
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\titlepage %Necesario para generar la portada
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\end{frame}
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%%La siguiente diapositiva es opcional, si se quiere la tabla de contenidos
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%%Se sebe compilar dos veces el documento para que funcione
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%--------------------------------------------------------------------------
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\begin{frame}
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\tableofcontents %Imprime la tabla de contenido
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\end{frame}
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%--------------------------------------------------------------------------
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\section{Introduction} %%Título de la sección (Opcional)
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\begin{frame}
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\frametitle{Introduction}
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\framesubtitle{objective} %%Subtítulo de la diapositiva (opcional)
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In this presentation we try to show a proof of the Pythagorean theorem.
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There are many demonstrations, but this one is one of the simplest.
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\end{frame}
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\section{Proof of the Pythagorean theorem} %%Otra sección
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\begin{frame}
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\frametitle{Concept}
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Suppose we have a square of side \textbf{r} and on each of its sides we place a right triangle of legs \textbf{x} and \textbf{y}. As in this situation the hypotenuse of each of the triangles is \textbf{r} we want to prove that:
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\\\
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\begin{Formula} %%Uso del "environment" definido al inicio del documento.
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\[x^{2}+y^{2}=r^{2}\]
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\end{Formula}
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\end{frame}
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\begin{frame}
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\frametitle{The figure}
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The figure that is obtained is the following:
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\begin{center}
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\begin{tikzpicture}[scale=0.8]
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%\begin{tikzpicture}
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%\draw (0,0) circle (1cm);
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\draw [fill=green] (-2,-2) rectangle (2,2);
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\draw [fill=red] (-2,0) -- (0,2) -- (2,0) -- (0,-2) -- cycle;
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% r
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\draw [dotted]
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(0.75,1) node[black] {r}
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(0.75,-1) node[black] {r}
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(-0.75,1) node[black] {r}
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(-0.75,-1) node[black] {r};
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% x y
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\draw [dotted]
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(1,-2.2) node[black] {y}
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(1,2.2) node[black] {x}
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(-1,2.2) node[black] {y}
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(-1,-2.2) node[black] {x}
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(2.2,1) node[black] {y}
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(2.2,-1) node[black] {x}
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(-2.2,1) node[black] {x}
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(-2.2,-1) node[black] {y};
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\end{tikzpicture}
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\[x^{2}+y^{2}=r^{2}\]
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\end{center}
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\end{frame}
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%\section{Restaurants} %%Otra sección
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\begin{frame}
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\frametitle{Conclusions}
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\begin{itemize}
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\item Each side of the \textbf{green square} is the sum of \textbf{x} and \textbf{y}. Therefore, the area of the square is: \[(x+y)^{2}\]
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\item For the same reason, the area of the \textbf{red square} is: \[r^{2}\]
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\item The area of each of the \textbf{green triangles} (y, x and r) is:\[\frac{x+y}{2}\]
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\end{itemize}
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\end{frame}
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\section{Demonstration} %%Otra sección
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\begin{frame}
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\frametitle{Demonstration}
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\begin{itemize}
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\item The green square is formed by the red square and the four green triangles, so the sum of all the areas is: \[(x+y)^{2}=r^{2} + 4 (\frac{x+y}{2})\]
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\item We develop the left part of equality: \[(x+y)^{2}=x^{2} + 2xy + y^{2}\]
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\item We substitute in the first formula: \[x^{2} + 2xy + y^{2} = r^{2} + 2xy\]
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\item \textbf{2xy} is eliminated on both sides of the equality, and we obtain the desired result: \[x^{2} + y^{2} = r^{2}\]
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\end{itemize}
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\end{frame}
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\end{document}
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04/Solution #04/Presentation/beamercolorthemeImunam.sty
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\mode<presentation>
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\mode<all>
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04/Solution #04/Presentation/beamerinnerthemeImunam.sty
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\mode<presentation>
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\setbeamertemplate{background}{
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\begin{tikzpicture}
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\useasboundingbox (0,0) rectangle(\the\paperwidth,\the\paperheight);
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\fill[color=azulunam] (0.60\paperwidth,0.41\paperheight) rectangle(\the\paperwidth, \the\paperheight);
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\fill[color=azulunam] (0.77\paperwidth,0) rectangle(\the\paperwidth, 0.40\paperheight);
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%\useasboundingbox (0.77\paperwidth,0) rectangle(\the\paperwidth, 0.40\paperheight);
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\fill[color=azulunam] (0.60\paperwidth,0) rectangle(0.76\paperwidth, 0.23\paperheight);
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\fill[color=azulunam] (0.70\paperwidth, 0.24\paperheight) rectangle(0.71\paperwidth, 0.28\paperheight);
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\ifnum\thepage>1\relax%
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\fill[white, opacity=1] (0,0) rectangle(\the\paperwidth, \the\paperheight);
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\includegraphics[width=\paperwidth, height=0.8\paperheight, angle=75]{images/forma4.jpg}
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\fi
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\end{tikzpicture}
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}
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\setbeamerfont{date}{size=\small, shape=\upshape}
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\setbeamerfont{title}{size=\huge, shape=\scshape}
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\setbeamerfont{institute}{size=\tiny, shape=\itshape}
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\defbeamertemplate*{title page}{Imunam}[1][]
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{
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\begin{textblock}{9}(0.2,2.5)
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\begin{beamercolorbox}[center,sep=1pt,#1]{title page header}
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\usebeamerfont{title}\inserttitle\par%
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\end{textblock}
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\vskip4.5cm%
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\begin{beamercolorbox}[wd=6cm,leftskip=0cm,#1]{author}
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\usebeamerfont{date}\insertauthor%
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\vskip0.1cm%
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\begin{beamercolorbox}[wd=6cm, #1]{institute}
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\usebeamerfont{institute}\insertinstitute
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\begin{textblock}{5.6}(9.7,5)
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\begin{beamercolorbox}[right]{date}
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\begin{textblock}{4}(12.9,11.8)
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\includegraphics[width=2cm]{\logoblanco}
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\end{textblock}
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\vfill
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}
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\setbeamertemplate{items}[triangle]
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\setbeamertemplate{sections/subsections in toc}[square]
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\mode<all>
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04/Solution #04/Presentation/beamerouterthemeImunam.sty
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\mode<presentation>
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\setbeamerfont{sectiontitle}{size=\huge, shape=\scshape}
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%Barra de título
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\defbeamertemplate*{frametitle}{Imunam}[1][]
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{
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\vskip0.2cm
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\begin{beamercolorbox}[right]{sectiontitle}
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\usebeamerfont{date}\insertsection
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\vskip-0.2cm
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\begin{beamercolorbox}[wd=\paperwidth,ht=1.9cm]{frametitle}
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\begin{tikzpicture}
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\useasboundingbox (0,0) rectangle(\the\paperwidth,1.4);
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{\node[anchor=west, white] at (0.4, 0.8){\includegraphics[width=1.5cm]{\logoimate}};}
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\fill[azulunam](2.45, 0.3) rectangle(\paperwidth,1.4);
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{\node[anchor=west, white, font=\large] at (3.0,0.82){\insertframetitle};}
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\else%
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{\node[anchor=west, white, font=\large] at (3.0, 1.02){\insertframetitle};%
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\node[anchor=west, white, font=\small] at (3.0, 0.63){\insertframesubtitle};}%
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\fi
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\end{tikzpicture}
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\end{beamercolorbox}
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\vskip-0.5cm
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}
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%%Impide que se imprima el logo
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\defbeamertemplate*{sidebar right}{sidebar theme}
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{%
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\mode<all>
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04/Solution #04/Presentation/beamerthemeImunam.sty
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\RequirePackage[absolute, overlay]{textpos}
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\newcommand{\logoimate}{images/IM_logo.pdf}
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\DeclareOption{cuernavaca}{
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\renewcommand{\logoimate}{images/IM_Cuerna.pdf}
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\renewcommand{\logoblanco}{images/logo.pdf}
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}
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%Configuraciones
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\usecolortheme{Imunam}
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% \renewcommand{\logoblanco}{IM_Cuerna_blanco.pdf}
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%}
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\mode<all>
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04/Solution #04/Presentation/images/IM_Cuerna.tex
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\documentclass[tikz]{standalone}
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\begin{tikzpicture}[scale=0.3, line width=2pt]
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\draw[black, fill=white] (15.18,12.80) -- (13.83,8.76) -- (16.6, 8.88) -- cycle;
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\node[minimum size=8em, align=left] (title) at (25.8, 5) {\textsf{\Huge Instituto de} \\
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\textsf{\Huge Matem\'aticas} \vspace{2mm}\\
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\textsf{\fontsize{16pt}{1em}\selectfont Unidad Cuernavaca}};
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\end{document}
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04/Solution #04/Presentation/images/IM_Cuerna_blanco.tex
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\documentclass[tikz]{standalone}
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\begin{tikzpicture}[scale=0.3, line width=2pt, color=white]
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\draw[azulunam, fill=white] (16.6,8.88) -- (21.84,13.28) -- (13,19.6) -- (10.96,13.12);
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\draw[azulunam, fill=white] (4,13.16) -- (7.68,2.27) -- (9.77, 8.84) -- cycle;
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\draw[azulunam, fill=white] (4,13.16) -- (15.22, 13.04) -- (13.04,6.44) -- cycle;
|
||||||
|
\draw[azulunam, fill=white] (7.68,2.16) -- (13.04,6.44) -- (9.77, 8.84) -- cycle;
|
||||||
|
\draw[azulunam, fill=white] (15.18,12.80) -- (13.83,8.76) -- (16.6, 8.88) -- cycle;
|
||||||
|
\node[minimum size=8em, align=left] (title) at (25.8, 5) {\textsf{\Huge Instituto de} \\
|
||||||
|
\textsf{\Huge Matem\'aticas} \vspace{2mm}\\
|
||||||
|
\textsf{\fontsize{16pt}{1em}\selectfont Unidad Cuernavaca}};
|
||||||
|
\end{tikzpicture}
|
||||||
|
\end{document}
|
||||||
|
|
||||||
|
\end{document}
|
17
04/Solution #04/Presentation/images/IM_blanco.tex
Executable file
17
04/Solution #04/Presentation/images/IM_blanco.tex
Executable file
@ -0,0 +1,17 @@
|
|||||||
|
\documentclass[tikz]{standalone}
|
||||||
|
\usepackage{tikz}
|
||||||
|
\usepackage{tgadventor}
|
||||||
|
|
||||||
|
\begin{document}
|
||||||
|
\definecolor{azulunam}{HTML}{13406F}
|
||||||
|
\begin{tikzpicture}[scale=0.3, line width=2pt, color=white]
|
||||||
|
\draw[azulunam, fill=white] (16.6,8.88) -- (21.84,13.28) -- (13,19.6) -- (10.96,13.12);
|
||||||
|
\draw[azulunam, fill=white] (4,13.16) -- (7.68,2.27) -- (9.77, 8.84) -- cycle;
|
||||||
|
\draw[azulunam, fill=white] (4,13.16) -- (15.22, 13.04) -- (13.04,6.44) -- cycle;
|
||||||
|
\draw[azulunam, fill=white] (7.68,2.16) -- (13.04,6.44) -- (9.77, 8.84) -- cycle;
|
||||||
|
\draw[azulunam, fill=white] (15.18,12.80) -- (13.83,8.76) -- (16.6, 8.88) -- cycle;
|
||||||
|
\node[minimum size=8em, align=left] (title) at (25.8, 5) {\textsf{\Huge Faculty of Mathematics and Computer Science} \\ \\ \textsf{\Huge Matem\'aticas}};
|
||||||
|
\end{tikzpicture}
|
||||||
|
\end{document}
|
||||||
|
|
||||||
|
\end{document}
|
BIN
04/Solution #04/Presentation/images/forma4.jpg
Executable file
BIN
04/Solution #04/Presentation/images/forma4.jpg
Executable file
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After Width: | Height: | Size: 101 KiB |
BIN
04/Solution #04/Presentation/images/logo.pdf
Executable file
BIN
04/Solution #04/Presentation/images/logo.pdf
Executable file
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Loading…
Reference in New Issue
Block a user