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LaTex, Beamer e Young Tableaux

tag-icon • tag-icon tikz-pgf beamer
LaTex, Beamer e Young Tableaux

Acabei de aprender LaTeX sozinho nos últimos três meses para minha tese. Agora preciso fazer uma apresentação e devo usar o beamer. Usei o Tikz na minha tese e gostaria de usá-lo novamente no beamer. Por mais que eu adorasse recortar e colar minha imagem tikz na apresentação, isso não parece funcionar. Aqui está um exemplo do que usei em minha tese.

\begin{tikzpicture}
            \matrix (m) [
                matrix of math nodes, 
                nodes in empty cells,
                minimum width=width("8"),
            ] {
                1 & 1 & 2 & 2 &            &   &            &   &   &   & 1 & 1 & 2 & 2 &           &     &              &   &   & 1 & 1 & 2 & 2 & \leftarrow & 3 & 1 &   & 1 & 1 & 2 & 2 & 3 & \leftarrow & 1 &   \\
                2 & 3 & 3 & 4 &            &   &            &   &   &   & 2 & 3 & 3 & 4 &           &     &              &   &   & 2 & 3 & 3 & 4 &            &   &   &   & 2 & 3 & 3 & 4 &   &            &   &   \\
                3 & 4 & 6 &   &            &   &            &   &   & = & 3 & 4 & 6 &   &           &     &              &   & = & 3 & 4 & 6 &   &            &   &   & = & 3 & 4 & 6 &   & &              &   & = \\
                4 & 7 &   &   & \leftarrow & 5 & \leftarrow & 3 & 1 &   & 4 & 5 &   &   &            &     &                 &   &   & 4 & 5 &   &   &            &   &   &   & 4 & 5 &   &   & &              &   &   \\
                  &   &   &   &            &   &            &   &   &   &   &   &   &   & \leftarrow & 7 & \leftarrow 3 & 1 &   & 7 &   &   &   &           &   &   &   & 7 &   &   &   &   &            &   &   \\
            } ;

            \draw (m-1-1.north west) rectangle (m-1-2.south east);
            \draw (m-2-4.north west) rectangle (m-2-4.south east);
            \draw[Red!,line width=2] (m-1-4.north west) rectangle (m-1-4.south east);
            \draw (m-1-1.north west) rectangle (m-4-1.south east);
            \draw (m-1-3.north west) rectangle (m-1-3.south east);
            \draw (m-3-3.north west) rectangle (m-3-3.south east);
            \draw[Red!,line width=2] (m-2-3.north west) rectangle (m-2-3.south east);
            \draw (m-3-1.north west) rectangle (m-3-1.south east);
            \draw (m-4-2.north west) rectangle (m-4-2.south east);
            \draw[Red!,line width=2] (m-3-2.north west) rectangle (m-3-2.south east);
            \draw (m-1-11.north west) rectangle (m-1-11.south east);
            \draw (m-1-12.north west) rectangle (m-1-12.south east);
            \draw (m-1-13.north west) rectangle (m-1-13.south east);
            \draw (m-2-14.north west) rectangle (m-2-14.south east);
            \draw (m-2-12.north west) rectangle (m-2-12.south east);
            \draw[Red!,line width=2] (m-1-14.north west) rectangle (m-1-14.south east);
            \draw (m-2-11.north west) rectangle (m-2-11.south east);
            \draw (m-3-13.north west) rectangle (m-3-13.south east);
            \draw[Red!,line width=2] (m-2-13.north west) rectangle (m-2-13.south east);
            \draw (m-3-11.north west) rectangle (m-3-11.south east);
            \draw[Red!,line width=2] (m-3-12.north west) rectangle (m-3-12.south east);
            \draw (m-4-11.north west) rectangle (m-4-11.south east);
            \draw[Red!,line width=2] (m-4-12.north west) rectangle (m-4-12.south east);
            \draw (m-1-21.north west) rectangle (m-1-21.south east);
            \draw (m-1-22.north west) rectangle (m-1-22.south east);
            \draw (m-1-20.north west) rectangle (m-1-20.south east);
            \draw (m-2-20.north west) rectangle (m-2-20.south east);
            \draw (m-2-21.north west) rectangle (m-2-21.south east);
            \draw (m-2-23.north west) rectangle (m-2-23.south east);
            \draw[Red!,line width=2] (m-1-23.north west) rectangle (m-1-23.south east);
            \draw (m-3-22.north west) rectangle (m-3-22.south east);
            \draw[Red!,line width=2] (m-2-22.north west) rectangle (m-2-22.south east);
            \draw (m-3-20.north west) rectangle (m-3-20.south east);
            \draw[Red!,line width=2] (m-3-21.north west) rectangle (m-3-21.south east);
            \draw (m-4-20.north west) rectangle (m-4-20.south east);
            \draw[Red!,line width=2] (m-4-21.north west) rectangle (m-4-21.south east);
            \draw[Red!,line width=2] (m-5-20.north west) rectangle (m-5-20.south east);
            \draw (m-1-28.north west) rectangle (m-1-31.south east);
            \draw[Orange!,line width=2] (m-1-32.north west) rectangle (m-1-32.south east);
            \draw (m-1-28.north west) rectangle (m-4-28.south east);
            \draw (m-1-30.north west) rectangle (m-3-30.south east);
            \draw (m-2-29.north west) rectangle (m-2-31.south east);
            \draw (m-4-28.north west) rectangle (m-5-28.south east);
            \draw (m-3-28.north west) rectangle (m-3-28.south east);
            \draw (m-4-29.north west) rectangle (m-4-29.south east);


        \end{tikzpicture}

Quero mostrar a progressão passo a passo de uma rota de colisão desde o início do algoritmo de inserção Robinson-Schensted até o final e faria isso usando vários slides, mas não entendo como os nós funcionam para isso ou mesmo que seja o que eu deveria estar usando. Como faço para criar essa "animação" de vários slides? Obrigado

Responder1

O poder do tikz é que você pode escrever macros facilmente para desenhar objetos regulares como tableaux. Eu tenho um código que escrevi para fazer algo semelhante. Em vez de desenhar quadros mais grossos, mudo a cor de fundo da célula, mas seria fácil adaptar meu código para criar quadros mais grossos, se preferir. A idéia principal é enterrar a maior parte do código do tableau dentro de uma macro para que você possa "escrever" cada tableau usando uma sintaxe natural e fácil de editar, como

\ShadedTableau{{1,1,2,2},{2,3,3,4},{3,4,6},{4,7}}

No seu caso de uso, você deseja sombrear determinadas células. Para atender a isso, permitimos um argumento opcional que é uma lista separada por vírgulas das coordenadas das células que queremos sombrear:

\ShadedTableau[(3,0),(2,-1),(1,-2)]{{1,1,2,2},{2,3,3,4},{3,4,6},{4,7}}

A \ShadedTableaumacro não é particularmente complicada: ela usa umtikz \foreachloop para desenhar o quadro célula por célula, percorrendo as linhas e, em seguida, as entradas em cada linha do quadro, que são fornecidas como argumentos para \ShadedTableau. (Existem alguns recursos extras nas macros abaixo que considero úteis.)

Usando isso com o beamer, seu MWE ficaria (pule para o quadro do beamer na primeira leitura, porque é onde estão seus quadros):

\documentclass{beamer}
\usepackage{xcolor}
\usepackage{tikz}

% tikz macro for drawing tableaux with optionally shaded nodes.
% \ShadedTableau{{1,2,3,4},{5,6,7},{8,9}}   -> 1234/567/89
% \ShadedTableau[(1,-1),(2,-1),(2,0),(3,0),(4,0)]{{1,2,3,4},{5,6,7},{8,9}}
\newdimen\shadedBaseline\shadedBaseline=-4mm
\newcount\tableauRow\newcount\tableauCol
\newcommand\ShadedTableau[2][\relax]{%
  \begin{tikzpicture}[scale=0.4,draw/.append style={thick,black},baseline=\shadedBaseline]
    \ifx\relax#1\relax%
    \else % shade the boxes in #1
      \foreach\bx in {#1} { \filldraw[blue!20]\bx+(-.5,-.5)rectangle++(.5,.5); }
    \fi
    \tableauRow=0
    \foreach \Row in {#2} {
       \tableauCol=1
       \foreach\k in \Row {
          \draw(\the\tableauCol,\the\tableauRow)+(-.5,-.5)rectangle++(.5,.5);
          \draw(\the\tableauCol,\the\tableauRow)node{\k};
          \global\advance\tableauCol by 1
       }
       \global\advance\tableauRow by -1
    }
  \end{tikzpicture}%
}

\begin{document}

  \begin{frame}{Bumping}
    \ShadedTableau[(4,0),(3,-1),(2,-2)]{{1,1,2,2},{2,3,3,4},{3,4,6},{4,7}}
    \quad
    \pause $\overset{\longleftarrow 5\longleftarrow 3\ 1}{=}$\quad
    \ShadedTableau[(4,0),(3,-1),(2,-2),(2,-3)]{{1,1,2,2},{2,3,3,4},{3,4,6},{4,5}}
    \qquad
    \pause $\overset{\longleftarrow 7\longleftarrow 3\ 1}{=}$\quad
    \ShadedTableau[(4,0),(3,-1),(2,-2),(2,-3),(1,-4)]{{1,1,2,2},{2,3,3,4},{3,4,6},{4,5},{7}}
  \end{frame}

\end{document}

Isso produz a saída:

insira a descrição da imagem aqui

Como você perguntou sobre "animação de vários slides", no exemplo acima isso é feito simplesmente usando o \pausecomando, que "pausa" a apresentação até você clicar em uma tecla. Coisas mais complicadas são possíveis: veja o muito legívelprojetormanual para obter detalhes.

Responder2

Como é tarde demais para modificar o código do desenho, a maneira mais fácil é adicionar uma máscara sobre o desenho existente.

A estrutura básica é a seguinte:

\documentclass{beamer}
\usepackage{tikz}
\begin{document}
\foreach\i in{1,...,30}{
    \begin{frame}

        your picture

        \tikz[remember picture,overlay]{
            \filldraw[fill=white](current page.west)++(\i/2,-1)rectangle+(12,4)--+(0,0);
        }
        \transreplace
        \transduration{0}
    \end{frame}
}

\end{document}

PS. se você estiver usando o Adobe Reader e no modo de tela cheia, ele será reproduzido automaticamente para você.

\documentclass{beamer}
\usepackage{tikz}
\usetikzlibrary{matrix}
\begin{document}

\def\tempamp{&}
\catcode`\&13 \let&\tempamp


\foreach\i in{1,...,30}{
\begin{frame}
\centering\begin{tikzpicture}[transform canvas={scale=.6}]
            \matrix (m) [
                matrix of math nodes, 
                nodes in empty cells,
                minimum width=width("8"),
            ] {
                1 & 1 & 2 & 2 &            &   &            &   &   &   & 1 & 1 & 2 & 2 &           &     &              &   &   & 1 & 1 & 2 & 2 & \leftarrow & 3 & 1 &   & 1 & 1 & 2 & 2 & 3 & \leftarrow & 1 &   \\
                2 & 3 & 3 & 4 &            &   &            &   &   &   & 2 & 3 & 3 & 4 &           &     &              &   &   & 2 & 3 & 3 & 4 &            &   &   &   & 2 & 3 & 3 & 4 &   &            &   &   \\
                3 & 4 & 6 &   &            &   &            &   &   & = & 3 & 4 & 6 &   &           &     &              &   & = & 3 & 4 & 6 &   &            &   &   & = & 3 & 4 & 6 &   & &              &   & = \\
                4 & 7 &   &   & \leftarrow & 5 & \leftarrow & 3 & 1 &   & 4 & 5 &   &   &            &     &                 &   &   & 4 & 5 &   &   &            &   &   &   & 4 & 5 &   &   & &              &   &   \\
                  &   &   &   &            &   &            &   &   &   &   &   &   &   & \leftarrow & 7 & \leftarrow 3 & 1 &   & 7 &   &   &   &           &   &   &   & 7 &   &   &   &   &            &   &   \\
            } ;
            \draw (m-1-1.north west) rectangle (m-1-2.south east);
            \draw (m-2-4.north west) rectangle (m-2-4.south east);
            \draw[red!,line width=2] (m-1-4.north west) rectangle (m-1-4.south east);
            \draw (m-1-1.north west) rectangle (m-4-1.south east);
            \draw (m-1-3.north west) rectangle (m-1-3.south east);
            \draw (m-3-3.north west) rectangle (m-3-3.south east);
            \draw[red!,line width=2] (m-2-3.north west) rectangle (m-2-3.south east);
            \draw (m-3-1.north west) rectangle (m-3-1.south east);
            \draw (m-4-2.north west) rectangle (m-4-2.south east);
            \draw[red!,line width=2] (m-3-2.north west) rectangle (m-3-2.south east);
            \draw (m-1-11.north west) rectangle (m-1-11.south east);
            \draw (m-1-12.north west) rectangle (m-1-12.south east);
            \draw (m-1-13.north west) rectangle (m-1-13.south east);
            \draw (m-2-14.north west) rectangle (m-2-14.south east);
            \draw (m-2-12.north west) rectangle (m-2-12.south east);
            \draw[red!,line width=2] (m-1-14.north west) rectangle (m-1-14.south east);
            \draw (m-2-11.north west) rectangle (m-2-11.south east);
            \draw (m-3-13.north west) rectangle (m-3-13.south east);
            \draw[red!,line width=2] (m-2-13.north west) rectangle (m-2-13.south east);
            \draw (m-3-11.north west) rectangle (m-3-11.south east);
            \draw[red!,line width=2] (m-3-12.north west) rectangle (m-3-12.south east);
            \draw (m-4-11.north west) rectangle (m-4-11.south east);
            \draw[red!,line width=2] (m-4-12.north west) rectangle (m-4-12.south east);
            \draw (m-1-21.north west) rectangle (m-1-21.south east);
            \draw (m-1-22.north west) rectangle (m-1-22.south east);
            \draw (m-1-20.north west) rectangle (m-1-20.south east);
            \draw (m-2-20.north west) rectangle (m-2-20.south east);
            \draw (m-2-21.north west) rectangle (m-2-21.south east);
            \draw (m-2-23.north west) rectangle (m-2-23.south east);
            \draw[red!,line width=2] (m-1-23.north west) rectangle (m-1-23.south east);
            \draw (m-3-22.north west) rectangle (m-3-22.south east);
            \draw[red!,line width=2] (m-2-22.north west) rectangle (m-2-22.south east);
            \draw (m-3-20.north west) rectangle (m-3-20.south east);
            \draw[red!,line width=2] (m-3-21.north west) rectangle (m-3-21.south east);
            \draw (m-4-20.north west) rectangle (m-4-20.south east);
            \draw[red!,line width=2] (m-4-21.north west) rectangle (m-4-21.south east);
            \draw[red!,line width=2] (m-5-20.north west) rectangle (m-5-20.south east);
            \draw (m-1-28.north west) rectangle (m-1-31.south east);
            \draw[orange!,line width=2] (m-1-32.north west) rectangle (m-1-32.south east);
            \draw (m-1-28.north west) rectangle (m-4-28.south east);
            \draw (m-1-30.north west) rectangle (m-3-30.south east);
            \draw (m-2-29.north west) rectangle (m-2-31.south east);
            \draw (m-4-28.north west) rectangle (m-5-28.south east);
            \draw (m-3-28.north west) rectangle (m-3-28.south east);
            \draw (m-4-29.north west) rectangle (m-4-29.south east);
        \end{tikzpicture}
\tikz[remember picture,overlay]{
    \filldraw[fill=white](current page.west)++(\i/2,-1)rectangle+(12,4)--+(0,0);
}
\transreplace
\transduration{0}
\end{frame}
}

\end{document}

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