latex2js.com/index.html at main · Mathapedia/latex2js.com · GitHub

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<!DOCTYPE html>
<!-- built by Dan Lynch in Berkeley and San Francisco -->
<html lang="en">

<head>
  <meta charset="utf-8">
  <meta http-equiv="X-UA-Compatible" content="IE=edge,chrome=1">
  <meta name="viewport" content="width=device-width, minimum-scale=1.0, maximum-scale=5.0">
  <meta name="apple-mobile-web-app-capable" content="yes">
  <meta name="apple-mobile-web-app-status-bar-style" content="black">

  <title>LaTeX2JS | Interactive Math Equations and Diagrams</title>
  <meta property="og:title" content="LaTeX2JS | Interactive Math Equations and Diagrams">
  <meta name="title" content="LaTeX2JS | Interactive Math Equations and Diagrams">

  <meta name="keywords"
    content="Interactive Mathematics Diagrams and Equations, Dan Lynch, UC Berkeley, LaTeX, PSTricks, JavaScript">
  <meta name="description" http-equiv="description"
    content="Build interactive math equations and diagrams online using LaTeX and PSTricks">
  <meta property="og:description"
    content="Build interactive math equations and diagrams online using LaTeX and PSTricks">
  <meta property="og:type" content="article">

  <meta property="og:image" content="https://latex2js.com/assets/images/share.jpg" />
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  <meta property="og:site_name" content="LaTeX2JS">

  <link href="https://fonts.googleapis.com/css?family=Arbutus+Slab" rel="stylesheet" type="text/css">
  <link rel="stylesheet" href="/assets/css/latex2js.css">
  <link rel="stylesheet" href="/assets/css/website.css">
  <script src="/assets/js/latex2html5.bundle.js"></script>

</head>

<body>

  <div class="latex-container">

    <h1>LaTeX2JS</h1>
    <h2>Author interactive math equations and diagrams online using $\LaTeX$ and PSTricks</h2>

    <hr>

    <div class="centered">
      <img src="/assets/images/photo.png">
    </div>

    <hr>

    <p>This project is the frontend only version of the code that originated from <a href="http://www.mathapedia.com/"
        target="youlovemathdontyou">Mathapedia</a> to enable real-time, dynamic authorship of mathematical ebooks</p>


    $$\frac{\delta}{\delta u} \int_{birth}^{death} f(life) du = \mbox{your life}$$

    <hr>

    <div class="centered">
      <p> Proud to support the best </p>
      <a href="/installation/vue.html">
        <img src="/assets/images/vue.png" width="50px">
      </a>
      <a href="/installation/react.html">
        <img src="/assets/images/react.png" width="50px">
      </a>
      <a href="/installation/html5.html">
        <img src="/assets/images/html5.png" width="50px">
      </a>
    </div>

    <hr>


    <div class="centered">
      <h3> Installation </h3>

      <p>You will also find installation instructions <a href="/installation/index.html" target="install">here</a>.</p>

      <h3> Examples </h3>

      <p>
        Get inspired, and make sure you see <a href="/examples/index.html">the PSTricks examples here</a>!
      </p>

      <h3> Get Started </h3>

      <p>
        To get started, check out the <a href="https://github.com/Mathapedia/LaTeX2JS/tree/main/examples">example apps
          on Github</a>, or view source. Play in the sandbox <a href="http://mathapedia.com/latex"
          target="mathsand">here</a>.
      </p>

      <h3> Documentation </h3>

      <p>There's also quite a bit of documentation <a href="http://mathapedia.com/books/31/sections/176"
          target="mathapedia">here</a></p>

      <h4> Help spread the word! </h4>
      <p>
        If you've built anything cool with LaTeX2JS, please <a href="https://twitter.com/mathapedia"
          target="share">share!</a>
      </p>

    </div>

  </div>

  <hr>

  <script type="text/latex">

\begin{pspicture}(0,-3)(8,3)
\rput(0,0){$x(t)$}
\rput(4,1.5){$f(t)$}
\rput(4,-1.5){$g(t)$}
\rput(8.2,0){$y(t)$}
\rput(1.5,-2){$h(t)$}
\psframe(1,-2.5)(7,2.5)
\psframe(3,1)(5,2)
\psframe(3,-1)(5,-2)
\rput(4,0){$X_k = \frac{1}{p} \sum \limits_{n=\langle p\rangle}x(n)e^{-ik\omega_0n}$}
\psline{->}(0.5,0)(1.5,0)
\psline{->}(1.5,1.5)(3,1.5)
\psline{->}(1.5,-1.5)(3,-1.5)
\psline{->}(6.5,1.5)(6.5,0.25)
\psline{->}(6.5,-1.5)(6.5,-0.25)
\psline{->}(6.75,0)(7.75,0)
\psline(1.5,-1.5)(1.5,1.5)
\psline(5,1.5)(6.5,1.5)
\psline(5,-1.5)(6.5,-1.5)
\psline(6,-1.5)(6.5,-1.5)
\pscircle(6.5,0){0.25}
\psline(6.25,0)(6.75,0)
\psline(6.5,0.5)(6.5,-0.5)
\end{pspicture}

Many of us think our thoughts using a language of some sort---there is usually some voice in our minds. Language in some ways, makes us who we are. Some even argue in the world of cognitive science that language is the foundation of our consciousness.


An author who has in their minds representations of intelligent concepts should be able to freely express herself through language with free association---digital expressions of these ideas in some cases requires total control of the computer and all of its processes.


The vision behind the personal computer was that any person could have full command of the functions of their device. I think this vision has come true to some degree, but not fully when it comes to creating graphics, especially mathematical diagrams online.


Does the common mathematician or professor have the ability to express concepts through web technology? The Web has its own language, and the goal of this project is to help blur the lines between what authoring the mathematical Web should be like and typesetting beautiful Math.


If you know \LaTeX, then get ready to author interactive diagrams in real-time (try using mouse or touch to interact with diagrams).


What matters most is minimizing the distance between our expression of an idea and the execution of that idea. For example, I can describe a vector at $(0,0)$ and initial value of the head at $(2,2)$ that will follow a user touch or mouse event. This will produce the following interaction:


\begin{center}
\begin{pspicture}(-2,-2)(2,2)
\psframe(-2,-2)(2,2)
\userline[linewidth=1.5 pt]{->}(0,0)(2,2)
\end{pspicture}
\end{center}


This was as easy as using this \TeX, which many math professors could understand.

\begin{verbatim}
\begin{pspicture}(-2,-2)(2,2)
\psframe(-2,-2)(2,2)
\userline[linewidth=1.5 pt]{->}(0,0)(2,2)
\end{pspicture}
\end{verbatim}

If you specify more arguments, you can create functions for the head and and tail of the vector, which each takes the current $x$ and $y$ position of the users finger or cursor as they move and produces the following interaction:

\begin{center}
\begin{pspicture}(-2,-2)(2,2)
\psframe(-2,-2)(2,2)
\userline[linewidth=2pt,linecolor=green]{->}(0,0)(2,2){-x}{-y}
\userline[linewidth=2pt,linecolor=red]{->}(0,0)(2,2){0}{y}
\userline[linewidth=2pt,linecolor=purple]{->}(0,0)(2,2){-x}{cos(y)}
\userline[linewidth=2pt,linecolor=lightblue]{->}(0,0)(2,2)(sin(x)}{-y}
\end{pspicture}
\end{center}

2 extra arguments provide functions for the head, 4 extra arguments allows you to control both and tail

\begin{verbatim}
\userline[linewidth=2pt,linecolor=green]{->}(0,0)(2,2){-x}{-y}
\userline[linewidth=2pt,linecolor=red]{->}(0,0)(2,2){0}{y}
\userline[linewidth=2pt,linecolor=purple]{->}(0,0)(2,2){-x}{cos(y)}
\userline[linewidth=2pt,linecolor=lightblue]{->}(0,0)(2,2)(sin(x)}{-y}
\end{verbatim}

I can also draw a more complex version, and start to make more useful diagrams to describe vectors:

\begin{center}
\begin{pspicture}(-5,-5)(5,5)

% y-axis
\rput(0.3,3.75){ $Im$ }
\psline{->}(0,-3.75)(0,3.75)

% x-axis
\rput(3.75,0.3){ $Re$ }
\psline{->}(-3.75,0)(3.75,0)

% the circle
\pscircle(0,0){ 3 }


 % new vector
\rput(2.3,1){$e^{i\omega}-\alpha$}
\userline[linewidth=1.5 pt]{->}(1.500,0.000)(2.121,2.121)
\userline[linewidth=1.5 pt,linecolor=blue]{->}(0,0.000)(2.121,2.121){(x>0) ? 3 * cos( atan(-y/x) ) : -3 * cos( atan(-y/x) ) }{ (x>0) ? -3 * sin( atan(-y/x) ) : 3 * sin( atan(-y/x) )}

\userline[linewidth=1.5 pt,linestyle=dashed](-1.500,0.000)(2.121,2.121){x}{0}{x}{y}
\userline[linewidth=1.5 pt,linestyle=dashed](-1.500,0.000)(2.121,2.121){0}{y}{x}{y}

\rput(-0.75,-4.25){$1+\alpha$}
\rput(2.25,-4.25){$1-\alpha$}
\psline{<->}(-3,-4)(1.5,-4)
\psline{<->}(1.5,-4)(3,-4)
\psline[linestyle=dashed](3,-4.5)(3,0)
\psline[linestyle=dashed](-3,-4.5)(-3,0)
\psline[linestyle=dashed](1.5,-4.5)(1.5,0)


\end{pspicture}
\end{center}

</script>

  <div class="centered">
    <h3> Installation </h3>

    <p>You will also find installation instructions <a href="/installation/index.html" target="install">here</a>.</p>

    <h3> Examples </h3>

    <p>
      Get inspired, and make sure you see <a href="/examples/index.html">the PSTricks examples here</a>!
    </p>

    <h3> Get Started </h3>

    <p>
      To get started, check out the <a href="https://github.com/Mathapedia/LaTeX2JS/tree/main/examples">example apps
        on Github</a>, or view source. Play in the sandbox <a href="http://mathapedia.com/latex"
        target="mathsand">here</a>.
    </p>

    <h3> Documentation </h3>

    <p>There's also quite a bit of documentation <a href="http://mathapedia.com/books/31/sections/176"
        target="mathapedia">here</a></p>

    <h4> Help spread the word! </h4>
    <p>
      If you've built anything cool with LaTeX2JS, please <a href="https://twitter.com/mathapedia"
        target="share">share!</a>
    </p>

  </div>

  <script type="text/latex">

\begin{pspicture}(-3,-5)(8,3)
\rput(-3.2,0){$x(t)$}
\psline[linewidth=1.25 pt, arrowscale=1.1]{->}(-2.7,0)(-0.25,0)
\rput(2,0.3){$x_g(t)$}
\rput(8.6,0){$y_g(t)$}
\psline[linewidth=1.25 pt, arrowscale=1.1]{->}(0.25,0)(2.7,0)
\psline[linewidth=1.25 pt, arrowscale=1.1]{->}(6,0)(8,0)
\psline[linewidth=1.25 pt, arrowscale=1.1]{->}(0,-1.65)(0,-0.25)
\pscircle(0,0){0.25}
\psline(-0.175,0.175)(0.175,-0.175)
\psline(0.175,0.175)(-0.175,-0.175)
\rput(3.2, 0.5){$H(\omega)$}
\rput(5.3, 0.6){$(T_s)$}
\psline{->}(3.25, 0)(5.5,0)
\psline(3.75, 0.0)(3.75, 0.5)
\psline(4.75, 0.0)(4.75, 0.5)
\psline(3.75, 0.5)(4.75, 0.5)
\psline(3.75, 0.1)(3.75, -0.1)
\rput(3.7, -0.45){$-\frac{\omega_s}{2}$}
\psline(4.75, 0.1)(4.75, -0.1)
\rput(4.7, -0.45){$\frac{\omega_s}{2}$}
\psframe(2.65, -0.75)(6, 1)
\rput(2.3,-1.7){$g(t) = \sum \limits_{k = -\infty}^{\infty}\delta(t-kT_S)$}
\rput(-1.1,-2.1){$(1)$}
\rput(-1.3,-2.5){$\cdots$}
\rput(1.3,-2.5){$\cdots$}
\psline{->}(-1.5,-3)(1.5,-3)
\psline[linewidth=1.25pt]{->}(-0.75,-3)(-0.75,-2)
\rput(-0.75,-3.3){$-T_s$}
\psline[linewidth=1.25pt]{->}(0,-3)(0,-2)
\rput(0,-3.3){$0$}
\psline[linewidth=1.25pt]{->}(0.75,-3)(0.75,-2)
\rput(0.75,-3.3){$T_s$}
\psframe(-1.75,-3.65)(7, 1.2)
\end{pspicture}
</script>


  <div class="latex-container">
    <a href="http://www.mathjax.org" target="mathjax">
      <img title="Powered by MathJax" src="https://cdn.mathjax.org/mathjax/badge/badge.gif" border="0"
        alt="Powered by MathJax" />
    </a>
  </div>

  <div class="latex-container">
    <p><a href="https://www.linkedin.com/in/dan-p-lynch/" target="danlynch">Dan Lynch</a> © <a
        href="https://latex2js.com" target="latex2js">LaTeX2JS</a> 2020 </p>
  </div>

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    LaTeX2HTML5.init();
  </script>

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