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Fix various issues in content-mathml.js #2184

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Fix various issues in content-mathml.js #2184

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@sylee957 sylee957 commented Aug 30, 2019 •
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HTML code for test examples 

<!DOCTYPE html>
<html>
<head>
  <meta charset="utf-8">
  <script>window.MathJax = {MathML: {extensions: ["content-mathml.js"]}};</script>
  <script type="text/javascript" async src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js?config=TeX-MML-AM_CHTML"></script>
</head>
<body>

<h1 align='Center'>Set Operations</h1>

<h2 align='Center'>Unions</h1>

<math display="block">
<apply>
    <union/>
    <ci> A </ci>
    <ci> B </ci>
</apply>
</math>

<math display="block">
<apply>
    <union/>
    <ci> A </ci>
    <ci> B </ci>
    <ci> C </ci>
</apply>
</math>

<math display="block">
<apply>
    <union/>
    <ci> A </ci>
    <ci> B </ci>
    <ci> C </ci>
    <ci> D </ci>
</apply>
</math>

<math display="block">
<apply>
    <union/>
    <ci> A </ci>
    <apply>
        <union/>
        <ci> B </ci>
        <ci> C </ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <union/>
    <apply>
        <union/>
        <ci> A </ci>
        <ci> B </ci>
    </apply>
    <ci> C </ci>
</apply>
</math>

<math display="block">
<apply>
    <union/>
    <apply>
        <union/>
        <ci> A </ci>
        <ci> B </ci>
    </apply>
    <apply>
        <union/>
        <ci> C </ci>
        <ci> D </ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <union/>
    <bvar><ci type="set"> S </ci></bvar>
    <domainofapplication><ci type="list">L</ci></domainofapplication>
    <ci type="set"> S </ci>
</apply>
</math>

<h2 align='Center'>Complement</h1>

<math display="block">
<apply>
    <setdiff/>
    <ci> A </ci>
    <ci> B </ci>
</apply>
</math>

<h2 align='Center'>Combined</h1>

<math display="block">
<apply>
    <in/>
    <ci> a </ci>
    <apply>
        <intersect/>
        <ci> B </ci>
        <ci> C </ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <notin/>
    <apply>
        <times/>
        <ci> a </ci>
        <ci> b </ci>
    </apply>
    <apply>
        <intersect/>
        <ci> B </ci>
        <ci> C </ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <notin/>
    <ci> a </ci>
    <apply>
        <setdiff/>
        <ci> B </ci>
        <ci> C </ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <subset/>
    <ci> A </ci>
    <apply>
        <intersect/>
        <ci> B </ci>
        <ci> C </ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <prsubset/>
    <apply>
        <intersect/>
        <ci> A </ci>
        <ci> B </ci>
    </apply>
    <apply>
        <intersect/>
        <ci> C </ci>
        <ci> D </ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <union/>
    <ci> A </ci>
    <apply>
        <intersect/>
        <ci> B </ci>
        <ci> C </ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <union/>
    <apply>
        <intersect/>
        <ci> A </ci>
        <ci> B </ci>
    </apply>
    <ci> C </ci>
</apply>
</math>

<math display="block">
<apply>
    <union/>
    <apply>
        <intersect/>
        <ci> A </ci>
        <ci> B </ci>
    </apply>
    <apply>
        <intersect/>
        <ci> C </ci>
        <ci> D </ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <intersect/>
    <apply>
        <union/>
        <ci> A </ci>
        <ci> B </ci>
    </apply>
    <apply>
        <union/>
        <ci> C </ci>
        <ci> D </ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <intersect/>
    <apply>
        <union/>
        <ci> A </ci>
        <ci> B </ci>
    </apply>
    <apply>
        <intersect/>
        <ci> C </ci>
        <ci> D </ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <union/>
    <apply>
        <intersect/>
        <ci> A </ci>
        <ci> B </ci>
    </apply>
    <apply>
        <union/>
        <bvar><ci type="set"> S </ci></bvar>
        <domainofapplication><ci type="list">L</ci></domainofapplication>
        <ci type="set"> S </ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <intersect/>
    <apply>
        <setdiff/>
        <ci> A </ci>
        <ci> B </ci>
    </apply>
    <apply>
        <setdiff/>
        <ci> C </ci>
        <ci> D </ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <intersect/>
    <apply>
        <cartesianproduct/>
        <ci> A </ci>
        <ci> B </ci>
    </apply>
    <apply>
        <cartesianproduct/>
        <ci> C </ci>
        <ci> D </ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <cartesianproduct/>
    <apply>
        <intersect/>
        <ci> A </ci>
        <ci> B </ci>
    </apply>
    <apply>
        <intersect/>
        <ci> C </ci>
        <ci> D </ci>
    </apply>
</apply>
</math>

<h1 align='Center'>Arithmetic Operations</h1>

<h2 align='Center'>Additions</h1>

<math display="block">
<apply>
    <plus/>
    <apply>
        <plus/>
        <ci> A </ci>
        <ci> B </ci>
    </apply>
    <apply>
        <plus/>
        <ci> C </ci>
        <ci> D </ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <plus/>
    <ci> A </ci>
    <ci> B </ci>
    <ci> C </ci>
    <ci> D </ci>
</apply>
</math>

<h2 align='Center'>Multiplications</h1>

<math display="block">
<apply>
    <times/>
    <apply>
        <times/>
        <ci> A </ci>
        <ci> B </ci>
    </apply>
    <apply>
        <times/>
        <ci> C </ci>
        <ci> D </ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <times/>
    <ci> A </ci>
    <ci> B </ci>
    <ci> C </ci>
    <ci> D </ci>
</apply>
</math>

<h2 align='Center'>Divisions</h1>

<math display="block">
    <apply>
        <divide/>
        <ci> A </ci>
        <ci> B </ci>
    </apply>
</math>

<math display="block">
<apply>
    <divide/>
    <apply>
        <divide/>
        <ci> A </ci>
        <ci> B </ci>
    </apply>
    <apply>
        <divide/>
        <ci> C </ci>
        <ci> D </ci>
    </apply>
</apply>
</math>

<h2 align='Center'>Quotients</h1>

<math display="block">
    <apply>
        <quotient/>
        <ci> A </ci>
        <ci> B </ci>
    </apply>
</math>

<math display="block">
<apply>
    <quotient/>
    <apply>
        <quotient/>
        <ci> A </ci>
        <ci> B </ci>
    </apply>
    <apply>
        <quotient/>
        <ci> C </ci>
        <ci> D </ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <quotient/>
    <apply>
        <plus/>
        <ci> A </ci>
        <ci> B </ci>
    </apply>
    <apply>
        <times/>
        <ci> C </ci>
        <ci> D </ci>
    </apply>
</apply>
</math>

<h2 align='Center'>Subtractions</h1>

<math display="block">
<apply>
    <minus/>
    <ci> A </ci>
    <ci> B </ci>
</apply>
</math>

<math display="block">
<apply>
    <minus/>
    <apply>
        <minus/>
        <ci> A </ci>
        <ci> B </ci>
    </apply>
    <apply>
        <minus/>
        <ci> C </ci>
        <ci> D </ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <minus/>
    <apply>
        <minus/>
        <ci> A </ci>
        <ci> B </ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <minus/>
    <ci> A </ci>
</apply>
</math>

<h2 align='Center'>Powers</h1>

<math display="block">
<apply>
    <power/>
    <ci> A </ci>
    <ci> b </ci>
</apply>
</math>

<math display="block">
<apply>
    <power/>
    <ci> A </ci>
    <apply>
        <power/>
        <ci> b </ci>
        <ci> c </ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <power/>
    <ci> A </ci>
    <apply>
        <power/>
        <ci> b </ci>
        <apply>
            <power/>
            <ci> c </ci>
            <ci> d </ci>
        </apply>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <power/>
    <apply>
        <power/>
        <ci> A </ci>
        <ci> b </ci>
    </apply>
    <ci> c </ci>
</apply>
</math>

<h2 align='Center'>Factorials</h1>

<math display="block">
<apply>
    <factorial/>
    <ci> a </ci>
</apply>
</math>

<math display="block">
<apply>
    <factorial/>
    <apply>
        <factorial/>
        <ci> a </ci>
    </apply>
</apply>
</math>

<h2 align='Center'>Combined</h1>

<math display="block">
<apply>
    <plus/>
    <apply>
        <times/>
        <ci> A </ci>
        <ci> B </ci>
    </apply>
    <apply>
        <times/>
        <ci> C </ci>
        <ci> D </ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <plus/>
    <apply>
        <minus/>
        <ci> A </ci>
        <ci> B </ci>
    </apply>
    <apply>
        <rem/>
        <ci> C </ci>
        <ci> D </ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <times/>
    <apply>
        <plus/>
        <ci> A </ci>
        <ci> B </ci>
    </apply>
    <apply>
        <plus/>
        <ci> C </ci>
        <ci> D </ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <rem/>
    <apply>
        <plus/>
        <ci> A </ci>
        <ci> B </ci>
    </apply>
    <apply>
        <plus/>
        <ci> C </ci>
        <ci> D </ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <factorial/>
    <apply>
        <exp/>
        <ci>a</ci>
    </apply>
</apply>
</math>

<h1 align='Center'>Matrices</h1>

<h2 align='Center'>Selector</h1>

<math display="block">
<apply>
    <selector/>
    <ci> A </ci>
    <ci> m </ci>
</apply>
</math>

<math display="block">
<apply>
    <selector/>
    <ci> A </ci>
    <ci> m </ci>
    <ci> n </ci>
</apply>
</math>

<math display="block">
<apply>
    <selector/>
    <apply>
        <selector/>
        <ci> A </ci>
        <ci> m </ci>
    </apply>
    <ci> n </ci>
</apply>
</math>

<math display="block">
<apply>
    <selector/>
    <apply>
        <selector/>
        <ci> A </ci>
        <ci> m </ci>
        <ci> n </ci>
    </apply>
    <ci> o </ci>
    <ci> p </ci>
</apply>
</math>

<h2 align='Center'>Matrix Transpose</h1>

<math display="block">
<apply>
    <transpose/>
    <ci> A </ci>
</apply>
</math>

<math display="block">
<apply>
    <transpose/>
    <apply>
        <transpose/>
        <ci> A </ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <transpose/>
    <apply>
        <transpose/>
        <apply>
            <transpose/>
            <ci> A </ci>
        </apply>
    </apply>
</apply>
</math>

<h1 align='Center'>Logical Operations</h1>

<math display="block">
<apply>
    <and/>
    <apply>
        <or/>
        <ci> A </ci>
        <ci> B </ci>
    </apply>
    <apply>
        <or/>
        <ci> C </ci>
        <ci> D </ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <or/>
    <apply>
        <and/>
        <ci> A </ci>
        <ci> B </ci>
    </apply>
    <apply>
        <and/>
        <ci> C </ci>
        <ci> D </ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <or/>
    <apply>
        <xor/>
        <ci> A </ci>
        <ci> B </ci>
    </apply>
    <apply>
        <xor/>
        <ci> C </ci>
        <ci> D </ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <xor/>
    <apply>
        <xor/>
        <ci> A </ci>
        <ci> B </ci>
    </apply>
    <apply>
        <xor/>
        <ci> C </ci>
        <ci> D </ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <xor/>
    <ci> A </ci>
    <ci> B </ci>
    <ci> C </ci>
    <ci> D </ci>
</apply>
</math>

<math display="block">
<apply>
    <implies/>
    <apply>
        <and/>
        <ci> A </ci>
        <ci> B </ci>
    </apply>
    <apply>
        <and/>
        <ci> C </ci>
        <ci> D </ci>
    </apply>
</apply>
</math>


<math display="block">
<apply>
    <and/>
    <apply>
        <gt/>
        <ci> A </ci>
        <ci> B </ci>
    </apply>
    <apply>
        <lt/>
        <ci> C </ci>
        <ci> D </ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <and/>
    <apply>
        <eq/>
        <ci> A </ci>
        <ci> B </ci>
    </apply>
    <apply>
        <neq/>
        <ci> C </ci>
        <ci> D </ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <or/>
    <apply>
        <and/>
        <ci> A </ci>
        <ci> B </ci>
    </apply>
    <apply>
        <and/>
        <ci> C </ci>
        <ci> D </ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <and/>
    <apply>
        <and/>
        <ci> A </ci>
        <ci> B </ci>
    </apply>
    <apply>
        <and/>
        <ci> C </ci>
        <ci> D </ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <and/>
    <ci> A </ci>
    <ci> B </ci>
    <ci> C </ci>
    <ci> D </ci>
</apply>
</math>

<math display="block">
<apply>
    <not/>
    <ci>a</ci>
</apply>
</math>

<math display="block">
<apply>
    <not/>
    <apply>
        <not/>
        <ci>a</ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <not/>
    <apply>
        <ci>f</ci>
        <ci>a</ci>
    </apply>
</apply>
</math>

<h1 align='Center'>Sums, Products</h1>

<math display="block">
<apply>
    <plus/>
    <apply>
        <sum/>
        <bvar><ci> x </ci></bvar>
        <lowlimit>
            <ci> a </ci>
        </lowlimit>
        <uplimit>
            <ci> b </ci>
        </uplimit>
        <ci> x </ci>
    </apply>
    <ci> y </ci>
</apply>
</math>

<math display="block">
<apply>
    <sum/>
    <bvar><ci> x </ci></bvar>
    <lowlimit>
        <ci> a </ci>
    </lowlimit>
    <uplimit>
        <ci> b </ci>
    </uplimit>
    <apply>
        <plus/>
        <ci> x </ci>
        <ci> y </ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <times/>
    <apply>
        <sum/>
        <bvar><ci> x </ci></bvar>
        <lowlimit>
            <ci> a </ci>
        </lowlimit>
        <uplimit>
            <ci> b </ci>
        </uplimit>
        <ci> x </ci>
    </apply>
    <ci> y </ci>
</apply>
</math>

<math display="block">
<apply>
    <sum/>
    <bvar><ci> x </ci></bvar>
    <lowlimit>
        <ci> a </ci>
    </lowlimit>
    <uplimit>
        <ci> b </ci>
    </uplimit>
    <apply>
        <times/>
        <ci> x </ci>
        <ci> y </ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <sum/>
    <bvar><ci> y </ci></bvar>
    <lowlimit>
        <ci> a </ci>
    </lowlimit>
    <uplimit>
        <ci> b </ci>
    </uplimit>

    <apply>
        <sum/>
        <bvar><ci> x </ci></bvar>
        <lowlimit>
            <ci> a </ci>
        </lowlimit>
        <uplimit>
            <ci> b </ci>
        </uplimit>
        <apply>
            <plus/>
            <ci> x </ci>
            <ci> y </ci>
        </apply>
    </apply>
</apply>
</math>

<h1 align='Center'>Integrals</h1>

<math display="block">
<apply>
    <int/>
    <bvar><ci> x </ci></bvar>
    <lowlimit><cn> 0 </cn></lowlimit>
    <uplimit><ci> a </ci></uplimit>
    <apply>
        <ci> f </ci>
        <ci> x </ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <int/>
    <bvar><ci> x </ci></bvar>
    <lowlimit><cn> 0 </cn></lowlimit>
    <uplimit><ci> a </ci></uplimit>
    <apply>
        <int/>
        <bvar><ci> x </ci></bvar>
        <lowlimit><cn> 0 </cn></lowlimit>
        <uplimit><ci> a </ci></uplimit>
        <apply>
            <ci> f </ci>
            <ci> x </ci>
        </apply>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <int/>
    <bvar><ci> y </ci></bvar>
    <lowlimit><cn> 0 </cn></lowlimit>
    <uplimit><ci> b </ci></uplimit>
    <apply>
        <int/>
        <bvar><ci> x </ci></bvar>
        <lowlimit><cn> 0 </cn></lowlimit>
        <uplimit><ci> a </ci></uplimit>
        <apply>
            <plus/>
            <ci> x </ci>
            <ci> y </ci>
        </apply>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <int/>
    <sin/>
</apply>
</math>

<math display="block">
<apply>
    <int/>
    <apply>
        <int/>
        <sin/>
    </apply>
</apply>
</math>

<h1 align='Center'>n-ary set operations</h1>

<math display="block">
<apply>
    <union/>
    <bvar><ci> A </ci></bvar>
    <domainofapplication><ci type="list">L</ci></domainofapplication>
    <ci> A </ci>
</apply>
</math>

<math display="block">
<apply>
    <intersect/>
    <apply>
        <union/>
        <bvar><ci> A </ci></bvar>
        <domainofapplication><ci type="list">L</ci></domainofapplication>
        <ci> A </ci>
    </apply>
    <ci>B</ci>
</apply>
</math>

<math display="block">
<apply>
    <union/>
    <bvar><ci> A </ci></bvar>
    <domainofapplication><ci type="list">L</ci></domainofapplication>
    <apply>
        <intersect/>
        <ci> A </ci>
        <ci> B </ci>
    </apply>
</apply>
</math>

<h1 align='Center'>Exponential</h1>

<math display="block">
<apply>
    <exp/>
    <ci> a </ci>
</apply>
</math>

<math display="block">
<apply>
    <exp/>
    <apply>
        <exp/>
        <ci> a </ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <exp/>
    <apply>
        <times/>
        <ci> a </ci>
        <ci> b </ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <exp/>
    <apply>
        <plus/>
        <ci> a </ci>
        <ci> b </ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <exp/>
    <apply>
        <power/>
        <ci> a </ci>
        <ci> b </ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <power/>
    <apply>
        <exp/>
        <ci>a</ci>
    </apply>
    <ci>b</ci>
</apply>
</math>

<math display="block">
<apply>
    <power/>
    <ci>a</ci>
    <apply>
        <exp/>
        <ci>b</ci>
    </apply>
</apply>
</math>

<h1 align='Center'>Vectors</h1>

<h2 align='Center'>Gradient, Curl, Divergence, Laplacian</h2>

<math display="block">
<vector>
    <cn> x </cn>
    <cn> y </cn>
    <ci> z </ci>
</vector>
</math>

<math display="block">
<apply>
    <grad/>
    <vector>
        <cn> x </cn>
        <cn> y </cn>
        <ci> z </ci>
    </vector>
</apply>
</math>

<math display="block">
<apply>
    <grad/>
    <ci>x</ci>
</apply>
</math>

<math display="block">
<apply>
    <laplacian/>
    <vector>
        <cn> x </cn>
        <cn> y </cn>
        <ci> z </ci>
    </vector>
</apply>
</math>

<math display="block">
<apply>
    <laplacian/>
    <ci>x</ci>
</apply>
</math>

<math display="block">
<apply>
    <curl/>
    <vector>
        <cn> x </cn>
        <cn> y </cn>
        <ci> z </ci>
    </vector>
</apply>
</math>

<math display="block">
<apply>
    <curl/>
    <ci>x</ci>
</apply>
</math>

<math display="block">
<apply>
    <curl/>
    <apply>
        <curl/>
        <ci>x</ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <divergence/>
    <vector>
        <cn> x </cn>
        <cn> y </cn>
        <ci> z </ci>
    </vector>
</apply>
</math>

<math display="block">
<apply>
    <divergence/>
    <ci>x</ci>
</apply>
</math>

<h2 align='Center'>Combined</h2>

<math display="block">
<apply>
    <divergence/>
    <apply>
        <curl/>
        <ci>x</ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <curl/>
    <apply>
        <grad/>
        <ci>x</ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <divergence/>
    <apply>
        <grad/>
        <ci>x</ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <divergence/>
    <apply>
        <times/>
        <ci>a</ci>
        <ci>x</ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <grad/>
    <apply>
        <times/>
        <ci>a</ci>
        <ci>x</ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <grad/>
    <apply>
        <plus/>
        <ci>a</ci>
        <ci>x</ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <laplacian/>
    <apply>
        <plus/>
        <ci>a</ci>
        <ci>x</ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <grad/>
    <apply>
        <conjugate/>
        <ci>x</ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <curl/>
    <apply>
        <conjugate/>
        <ci>x</ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <laplacian/>
    <apply>
        <conjugate/>
        <ci>x</ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <divergence/>
    <apply>
        <conjugate/>
        <ci>x</ci>
    </apply>
</apply>
</math>

<h1 align='Center'>Functions</h1>

<math display="block">
<apply>
    <ci>f</ci>
    <ci>x</ci>
</apply>
</math>

<math display="block">
<apply>
    <apply>
        <inverse/>
        <ci>f</ci>
    </apply>
    <ci>x</ci>
</apply>
</math>

<math display="block">
<apply>
    <apply>
        <inverse/>
        <apply>
            <inverse/>
            <ci>f</ci>
        </apply>
    </apply>
    <ci>x</ci>
</apply>
</math>

<math display="block">
<apply>
    <apply>
        <inverse/>
        <apply>
            <compose/>
            <ci>f</ci>
            <ci>g</ci>
        </apply>
    </apply>
    <ci>x</ci>
</apply>
</math>

<h1 align='Center'>Derivatives</h1>

<math display="block">
<apply>
    <diff/>
    <ci> f </ci>
</apply>
</math>

<math display="block">
<apply>
    <diff/>
    <apply>
        <diff/>
        <ci> f </ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <diff/>
    <apply>
        <compose/>
        <ci> f </ci>
        <ci> g </ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <diff/>
    <bvar><ci> x </ci></bvar>
    <apply>
        <ci> f </ci>
        <ci> x </ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <diff/>
    <bvar>
        <ci> x </ci>
        <degree><ci>2</ci></degree>
    </bvar>
    <apply>
        <ci> f </ci>
        <ci> x </ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <diff/>
    <bvar>
        <ci> x </ci>
    </bvar>
    <apply>
        <plus/>
        <apply>
            <ci> f </ci>
            <ci> x </ci>
        </apply>
        <apply>
            <ci> g </ci>
            <ci> x </ci>
        </apply>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <diff/>
    <bvar>
        <ci> x </ci>
    </bvar>
    <apply>
        <times/>
        <apply>
            <ci> f </ci>
            <ci> x </ci>
        </apply>
        <apply>
            <ci> g </ci>
            <ci> x </ci>
        </apply>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <diff/>
    <bvar><ci> x </ci></bvar>
    <apply>
        <diff/>
        <bvar>
            <ci>x</ci>
        </bvar>
        <apply>
            <ci> f </ci>
            <ci> x </ci>
        </apply>
    </apply>
</apply>
</math>

<h1 align='Center'>Partial Derivatives</h1>

<math display="block">
<apply>
    <partialdiff/>
    <bvar>
        <ci> x </ci>
        <degree><ci> m </ci></degree>
    </bvar>
    <bvar>
        <ci> y </ci>
        <degree><ci> n </ci></degree>
    </bvar>
    <degree><ci> k </ci></degree>
    <apply>
        <ci> f </ci>
        <ci> x </ci>
        <ci> y </ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <partialdiff/>
    <bvar>
        <ci> x </ci>
    </bvar>
    <bvar>
        <ci> y </ci>
    </bvar>
    <degree><ci> 2 </ci></degree>
    <apply>
        <ci> f </ci>
        <ci> x </ci>
        <ci> y </ci>
    </apply>
</apply>
</math>


<math display="block">
<apply>
    <partialdiff/>
    <bvar>
        <ci> x </ci>
    </bvar>
    <bvar>
        <ci> y </ci>
    </bvar>
    <apply>
        <ci> f </ci>
        <ci> x </ci>
        <ci> y </ci>
    </apply>
</apply>
</math>


<math display="block">
<apply>
    <partialdiff/>
    <bvar>
        <ci> x </ci>
        <degree><ci> 2 </ci></degree>
    </bvar>
    <bvar>
        <ci> y </ci>
        <degree><ci> 3 </ci></degree>
    </bvar>
    <apply>
        <ci> f </ci>
        <ci> x </ci>
        <ci> y </ci>
    </apply>
</apply>
</math>


<math display="block">
<apply>
    <partialdiff/>
    <bvar>
        <ci> x </ci>
        <degree><ci> a </ci></degree>
    </bvar>
    <bvar>
        <ci> y </ci>
        <degree><ci> b </ci></degree>
    </bvar>
    <apply>
        <ci> f </ci>
        <ci> x </ci>
        <ci> y </ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <partialdiff/>
    <bvar>
        <ci> x </ci>
        <degree><ci> a </ci></degree>
    </bvar>
    <bvar>
        <ci> y </ci>
        <degree><ci> 3 </ci></degree>
    </bvar>
    <apply>
        <ci> f </ci>
        <ci> x </ci>
        <ci> y </ci>
    </apply>
</apply>
</math>


<math display="block">
<apply>
    <partialdiff/>
    <bvar>
        <ci> x </ci>
    </bvar>
    <bvar>
        <ci> y </ci>
    </bvar>
    <degree><ci> 2 </ci></degree>
    <apply>
        <plus/>
        <apply>
            <ci> f </ci>
            <ci> x </ci>
            <ci> y </ci>
        </apply>
        <apply>
            <ci> f </ci>
            <ci> x </ci>
            <ci> y </ci>
        </apply>
    </apply>
</apply>
</math>


<math display="block">
<apply>
    <partialdiff/>
    <list>
        <cn>1</cn>
        <cn>1</cn>
        <cn>3</cn>
    </list>
    <ci>f</ci>
</apply>
</math>

<math display="block">
<apply>
    <partialdiff/>
    <list>
        <cn>1</cn>
        <cn>1</cn>
    </list>
    <apply>
        <partialdiff/>
        <list>
            <cn>1</cn>
            <cn>1</cn>
        </list>
        <ci>f</ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <partialdiff/>
    <list>
        <cn>1</cn>
        <cn>1</cn>
    </list>
    <apply>
        <compose/>
        <ci>f</ci>
        <ci>g</ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <partialdiff/>
    <list>
        <ci>a</ci>
        <ci>b</ci>
    </list>
    <apply>
        <compose/>
        <ci>f</ci>
        <ci>g</ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <partialdiff/>
    <list>
        <ci> a </ci>
    </list>
    <lambda>
        <bvar><ci> x </ci></bvar>
        <bvar><ci> y </ci></bvar>
        <apply>
            <plus/>
            <ci> x </ci>
            <cn> y </cn>
        </apply>
    </lambda>
</apply>
</math>

<math display="block">
<apply>
    <partialdiff/>
    <list>
        <ci> 1 </ci>
    </list>
    <lambda>
        <bvar><ci> x </ci></bvar>
        <bvar><ci> y </ci></bvar>
        <apply>
            <plus/>
            <ci> x </ci>
            <cn> y </cn>
        </apply>
    </lambda>
</apply>
</math>


<math display="block">
<apply>
    <partialdiff/>
    <list>
        <ci> 1 </ci>
        <ci> 2 </ci>
    </list>
    <lambda>
        <bvar><ci> x </ci></bvar>
        <bvar><ci> y </ci></bvar>
        <apply>
            <plus/>
            <ci> x </ci>
            <cn> y </cn>
        </apply>
    </lambda>
</apply>
</math>

<math display="block">
<apply>
    <partialdiff/>
    <list>
        <ci> a </ci>
        <ci> b </ci>
    </list>
    <lambda>
        <bvar><ci> x </ci></bvar>
        <bvar><ci> y </ci></bvar>
        <apply>
            <plus/>
            <ci> x </ci>
            <cn> y </cn>
        </apply>
    </lambda>
</apply>
</math>

<math display="block">
<apply>
    <partialdiff/>
    <list>
        <ci> a </ci>
        <ci> 2 </ci>
    </list>
    <lambda>
        <bvar><ci> x </ci></bvar>
        <bvar><ci> y </ci></bvar>
        <apply>
            <plus/>
            <ci> x </ci>
            <cn> y </cn>
        </apply>
    </lambda>
</apply>
</math>

<h1 align='Center'>Complex numbers</h1>

<math display="block">
<apply>
    <complex-cartesian/>
    <ci> a </ci>
    <ci> b </ci>
</apply>
</math>

<math display="block">
<apply>
    <complex-cartesian/>
    <ci> a </ci>
    <apply>
        <plus/>
        <ci> b </ci>
        <ci> c </ci>
    </apply>
</apply>
</math>

<math display="block">
<apply>
    <complex-polar/>
    <ci> a </ci>
    <ci> b </ci>
</apply>
</math>

<math display="block">
<apply>
    <complex-polar/>
    <apply>
        <plus/>
        <ci> a </ci>
        <ci> b </ci>
    </apply>
    <apply>
        <plus/>
        <ci> c </ci>
        <ci> d </ci>
    </apply>
</apply>
</math>

</body>
</html>

I've found a lot of issues in mathml-content-to-presentation converter, regarding parenthesis.
For example, different set operators like union and intersect should be parenthesized correctly according to the apply scope, but they were ignored.
I also see the same problem in the logical operators.

Also, things like nested powers should be parenthesized, or things become undistinguishable.

I've also made the summations and integrals to parenthesis according to the scope, and made summation to have same precedence as addition, and products, integrals as same as the multiplication.
There can be some redundant parenthesis appearing for integrals, but this was the first step for making things correct and consistent.

Also, I have examples of derivatives giving errors or not printed correctly

and also fixed some redundant parenthesis for printing vector operators.

@sylee957
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sylee957 commented Sep 2, 2019

I see mathjax has its own mathml content-to-presentation converter written in javascript, and I have discovered some bugs in #2184 as well.

@dpvc
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dpvc commented Sep 6, 2019

@christianp, would you be willing to review this PR?

@christianp
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@dpvc yes, but I can't commit to a timescale

@sylee957 sylee957 mentioned this pull request Sep 16, 2019
Merged
@dpvc dpvc changed the base branch from develop to legacy-v2-develop February 17, 2020 21:24
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3 participants
@sylee957 @dpvc @christianp