Fix various issues in content-mathml.js by sylee957 · Pull Request #2184 · mathjax/MathJax

sylee957 · 2019-08-30T20:10:52Z

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 · 2019-09-02T01:00:26Z

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 · 2019-09-06T12:07:02Z

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

christianp · 2019-09-06T14:08:04Z

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

Fix various bugs related to parenthesis, and derivatives

a28d030

sylee957 force-pushed the fix_content_mathml branch from 97b1f07 to a28d030 Compare August 30, 2019 20:12

sylee957 added 3 commits August 31, 2019 15:47

Fix more issues with symbolic degrees in derivatives

c7e043f

Fix degree of 1 appearing in exponent

e80d084

Refactor with common diffNode function

5b403b8

sylee957 mentioned this pull request Sep 16, 2019

Add set operators printing for MathML content printer sympy/sympy#17545

Merged

dpvc changed the base branch from develop to legacy-v2-develop February 17, 2020 21:24

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Fix various issues in content-mathml.js#2184

Fix various issues in content-mathml.js#2184
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sylee957 commented Aug 30, 2019 •

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