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    翠星石 (suiseiseki@freesoftwareextremist.com)'s status on Wednesday, 16-Apr-2025 18:55:18 JST翠星石翠星石
    in reply to
    • SuperDicq
    • Steph •ᴗ•
    @SuperDicq @steph The mathematics indeed write the formula with ASCII - in \LaTeX{} that is.

    Beautiful isn't it?;
    \scalebox{1.4}{$(x + y)^n = \mathlarger{\mathlarger{\sum}}_{k=0}^{n}\mybinom[1]{n}{k}x^ky^{n-k}$}\\
    $= \mybinom[1]{n}{0}y^n + \mybinom[1]{n}{1}xy^{n-1} + \mybinom[1]{n}{2}x^2y^{n-2}+ ... + \mybinom[1]{n}{n-1}x^{n-1}y + \mybinom[1]{n}{n}x^n$\\

    $\mbox{\small$ \begin{pmatrix}
    \dfrac{6}{5} & \dfrac{-8}{5} \\
    \\
    \dfrac{26}{5} & \dfrac{32}{5}\\
    \\
    \dfrac{17}{5} & \dfrac{-6}{5}\\
    \end{pmatrix}$} \mbox{\small$ \begin{pmatrix}
    \dfrac{1}{\sqrt{2}} & \dfrac{1}{\sqrt{2}}\\
    \\
    \dfrac{-1}{\sqrt{2}} & \dfrac{1}{\sqrt{2}}
    \end{pmatrix}$} = \mbox{\small$ \begin{pmatrix}
    \bigg(\dfrac{6}{5} \times \dfrac{1}{\sqrt{2}}\bigg)+\bigg(\dfrac{6}{5} \times \dfrac{-1}{\sqrt{2}}\bigg) & \bigg(\dfrac{-8}{5} \times \dfrac{1}{\sqrt{2}}\bigg)+\bigg(\dfrac{-8}{5} \times \dfrac{1}{\sqrt{2}}\bigg) \\
    \\
    \bigg(\dfrac{26}{5} \times \dfrac{1}{\sqrt{2}}\bigg)+\bigg(\dfrac{26}{5} \times \dfrac{-1}{\sqrt{2}}\bigg) & \bigg(\dfrac{32}{5} \times \dfrac{1}{\sqrt{2}}\bigg)+\bigg(\dfrac{32}{5} \times \dfrac{1}{\sqrt{2}}\bigg)\\
    \\
    \bigg(\dfrac{17}{5} \times \dfrac{1}{\sqrt{2}}\bigg)+\bigg(\dfrac{17}{5} \times \dfrac{-1}{\sqrt{2}}\bigg) & \bigg(\dfrac{-6}{5} \times \dfrac{1}{\sqrt{2}}\bigg)+\bigg(\dfrac{-6}{5} \times \dfrac{1}{\sqrt{2}}\bigg)\\
    \end{pmatrix}$}$\\


    Here, you can even visually see what one LaTeX enjoyer was writing about (just compile it with XeLaTeX+tikz);
    \begin{tikzpicture}
    [cube/.style={thick,black},
    grid/.style={very thin,black!20},
    axis/.style={->,thick},
    plane/.style={very thick,black},
    back/.style={thin, black}]

    %draw a grid in the x-y plane
    \foreach \x in {-0.5,0,...,7.5}
    \foreach \y in {-0.5,0,...,7.5}
    {
    \draw[grid] (\x,-0.5) -- (\x,7.5);
    \draw[grid] (-0.5,\y) -- (7.5,\y);
    }

    %right wing
    \draw[plane,fill=gray] (5,5,7) -- (2,5,7) -- (4,4,7);

    %plane body
    \draw[back] (4.5,5,4) -- (5.5,5,4) -- (5.5,4,4) -- (4.5,4,4) -- cycle;
    \draw[plane] (4.5,5,10) -- (5.5,5,10) -- (5.5,4,10) -- (4.5,4,10) -- cycle;
    %plane body top
    \draw[plane,fill=gray] (4.5,5,4) -- (4.5,5,10) -- (5.5,5,10) -- (5.5,5,4) --
    cycle;
    %plane body side
    \draw[plane,fill=gray] (5.5,4,4) -- (5.5,4,10) -- (5.5,5,10) -- (5.5,5,4) -- cycle;

    %rear
    \draw[plane] (4.5,4,2) -- (4.25,4,2) -- (4.25,4.25,2) -- (3,4.25,2) -- (5.05,5.5,2) -- (7,4.25,2) -- (5.75,4.25,2) -- (5.75,4,2) -- cycle;
    %wing to body edges
    \draw[back] (4.25,4,2) -- (4.5,4,4);%bottom
    \draw[plane,fill=gray] (3,4.25,2) -- (5.05,5.5,2) -- (4.5,4.5,4) -- cycle;%left wingspan
    \draw[back,fill=gray] (5.75,4,2) -- (5.5,4,4) -- (5.5,5,4) -- (5.75,4.25,2) -- cycle;%bottom
    \draw[plane,fill=gray] (5.05,5.5,2) -- (7,4.25,2) -- (4.5,4.5,4) -- cycle;%right wingspan

    %left wing
    \draw[plane,fill=gray] (6,5,7) -- (9,5,7) -- (5,4,7) -- cycle;

    %nose top
    \draw[plane,fill=gray] (4.5,5,10) -- (5.5,5,14) -- (5.5,5,10) -- cycle;
    %nose side
    \draw[plane,fill=gray] (5.5,5,10) -- (5.5,5,14) -- (5.5,4,10) -- cycle;


    %draw the front and and back of the cube
    \draw[cube] (0,0,0) -- (0,7,0) -- (7,7,0) -- (7,0,0) -- cycle;
    \draw[cube] (0,0,7) -- (0,7,7) -- (7,7,7) -- (7,0,7) -- cycle;
    %draw the edges of the cube
    \draw[cube] (0,0,0) -- (0,0,7);
    \draw[cube] (0,7,0) -- (0,7,7);
    \draw[cube] (7,0,0) -- (7,0,7);
    \draw[cube] (7,7,0) -- (7,7,7);

    \draw[axis,red] (5.5,5,8) -- (10,5,8) node[anchor=west]{$x$};
    \draw[axis,green] (5.5,5,8) -- (5.5,10,8) node[anchor=west]{$y$};
    \draw[axis,blue] (5.5,5,8) -- (5.5,5,18) node[anchor=west]{$z$};
    \end{tikzpicture}\\

    I want a fedi \LaTeX{} mode, so I can type that and get;
    In conversationWednesday, 16-Apr-2025 18:55:18 JST from freesoftwareextremist.compermalink

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    1. https://media.freesoftwareextremist.com/media/72/81/1b/72811bf54c0309337729d6fd50719975ea03bebe97fa493b21ec1d2a7e55d10d.webp
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