Files @ 531ab818cc3d
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Location: kallithea/rhodecode/public/js/mode/stex/index.html

Bradley M. Kuhn
Add javascript for Object Code excanvas (flot) version herein included and use that instead of minified version.

I had a bit of trouble finding the upstream on excanvas, as the version from
Google, which appears to be the original source, seems unmaintained.

However, it appears the version we're carrying in Kallithea is indeed from
the excanvas era of flot.

$ (cd /tmp; \
svn -r 135 checkout http://flot.googlecode.com/svn/trunk/ flot )
$ cp /tmp/flot/excanvas.js rhodecode/public/js/excanvas.js

I also verified the sha256sum of the min file matched ours:

$ sha256sum /tmp/flot/excanvas.min.js rhodecode/public/js/excanvas.min.js
5f94b032a110504b7b261eaf71392fa3e8d82cdc6455c0cba5c9f03cd34ed122 /tmp/flot/excanvas.min.js
5f94b032a110504b7b261eaf71392fa3e8d82cdc6455c0cba5c9f03cd34ed122 rhodecode/public/js/excanvas.min.js
<!doctype html>
<html>
  <head>
    <meta charset="utf-8">
    <title>CodeMirror: sTeX mode</title>
    <link rel="stylesheet" href="../../lib/codemirror.css">
    <script src="../../lib/codemirror.js"></script>
    <script src="stex.js"></script>
    <style>.CodeMirror {background: #f8f8f8;}</style>
    <link rel="stylesheet" href="../../doc/docs.css">
  </head>
  <body>
    <h1>CodeMirror: sTeX mode</h1>
     <form><textarea id="code" name="code">
\begin{module}[id=bbt-size]
\importmodule[balanced-binary-trees]{balanced-binary-trees}
\importmodule[\KWARCslides{dmath/en/cardinality}]{cardinality}

\begin{frame}
  \frametitle{Size Lemma for Balanced Trees}
  \begin{itemize}
  \item
    \begin{assertion}[id=size-lemma,type=lemma]
    Let $G=\tup{V,E}$ be a \termref[cd=binary-trees]{balanced binary tree}
    of \termref[cd=graph-depth,name=vertex-depth]{depth}$n>i$, then the set
     $\defeq{\livar{V}i}{\setst{\inset{v}{V}}{\gdepth{v} = i}}$ of
    \termref[cd=graphs-intro,name=node]{nodes} at
    \termref[cd=graph-depth,name=vertex-depth]{depth} $i$ has
    \termref[cd=cardinality,name=cardinality]{cardinality} $\power2i$.
   \end{assertion}
  \item
    \begin{sproof}[id=size-lemma-pf,proofend=,for=size-lemma]{via induction over the depth $i$.}
      \begin{spfcases}{We have to consider two cases}
        \begin{spfcase}{$i=0$}
          \begin{spfstep}[display=flow]
            then $\livar{V}i=\set{\livar{v}r}$, where $\livar{v}r$ is the root, so
            $\eq{\card{\livar{V}0},\card{\set{\livar{v}r}},1,\power20}$.
          \end{spfstep}
        \end{spfcase}
        \begin{spfcase}{$i>0$}
          \begin{spfstep}[display=flow]
           then $\livar{V}{i-1}$ contains $\power2{i-1}$ vertexes
           \begin{justification}[method=byIH](IH)\end{justification}
          \end{spfstep}
          \begin{spfstep}
           By the \begin{justification}[method=byDef]definition of a binary
              tree\end{justification}, each $\inset{v}{\livar{V}{i-1}}$ is a leaf or has
            two children that are at depth $i$.
          \end{spfstep}
          \begin{spfstep}
           As $G$ is \termref[cd=balanced-binary-trees,name=balanced-binary-tree]{balanced} and $\gdepth{G}=n>i$, $\livar{V}{i-1}$ cannot contain
            leaves.
          \end{spfstep}
          \begin{spfstep}[type=conclusion]
           Thus $\eq{\card{\livar{V}i},{\atimes[cdot]{2,\card{\livar{V}{i-1}}}},{\atimes[cdot]{2,\power2{i-1}}},\power2i}$.
          \end{spfstep}
        \end{spfcase}
      \end{spfcases}
    \end{sproof}
  \item
    \begin{assertion}[id=fbbt,type=corollary]
      A fully balanced tree of depth $d$ has $\power2{d+1}-1$ nodes.
    \end{assertion}
  \item
      \begin{sproof}[for=fbbt,id=fbbt-pf]{}
        \begin{spfstep}
          Let $\defeq{G}{\tup{V,E}}$ be a fully balanced tree
        \end{spfstep}
        \begin{spfstep}
          Then $\card{V}=\Sumfromto{i}1d{\power2i}= \power2{d+1}-1$.
        \end{spfstep}
      \end{sproof}
    \end{itemize}
  \end{frame}
\begin{note}
  \begin{omtext}[type=conclusion,for=binary-tree]
    This shows that balanced binary trees grow in breadth very quickly, a consequence of
    this is that they are very shallow (and this compute very fast), which is the essence of
    the next result.
  \end{omtext}
\end{note}
\end{module}

%%% Local Variables:
%%% mode: LaTeX
%%% TeX-master: "all"
%%% End: \end{document}
</textarea></form>
    <script>
      var editor = CodeMirror.fromTextArea(document.getElementById("code"), {});
    </script>

    <p><strong>MIME types defined:</strong> <code>text/x-stex</code>.</p>

    <p><strong>Parsing/Highlighting Tests:</strong> <a href="../../test/index.html#stex_*">normal</a>,  <a href="../../test/index.html#verbose,stex_*">verbose</a>.</p>

  </body>
</html>