From df9488803a5d9acf8b30fa08b551e152e565d12c Mon Sep 17 00:00:00 2001
From: David Carlisle <d.p.carlisle@gmail.com>
Date: Fri, 21 Jun 2024 09:43:40 +0100
Subject: [PATCH] use mathml field not comments (avoids markdown filter on
 mathml)

---
 _data/open.yml | 2018 ++++++++++++++++++++++++------------------------
 1 file changed, 1009 insertions(+), 1009 deletions(-)

diff --git a/_data/open.yml b/_data/open.yml
index 2f348f13..c0d531df 100644
--- a/_data/open.yml
+++ b/_data/open.yml
@@ -9,7 +9,7 @@ concepts:
       en: abelian category
       property: symbol
       area: "category theory"
-      comments:
+      mathml:
        - "<math><mi intent='abelian-category'>Ab</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/AbelianCategory.html"
@@ -22,7 +22,7 @@ concepts:
       en: abelian integral of $1
       property: indexed
       area: "complex analysis"
-      comments:
+      mathml:
        - "<math><mrow intent='abelian-integral($a1)'><mo>∫</mo><mi arg='a1'>f</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/AbelianIntegral.html"
@@ -34,7 +34,7 @@ concepts:
       en: abundance of $1
       property: prefix
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='abundance($a1)'><mi>A</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Abundance.html"
@@ -44,7 +44,7 @@ concepts:
       en: abundancy index  of $1
       property: mixfix
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='abundancy($a1)'><mi>σ</mi><mrow><mo>(</mo><mi arg='a1'>n</mi><mo>)</mo></mrow><mo>/</mo><mi>n</mi></mrow></math>"
       notation: "sigma (n) / n"
       urls: 
@@ -56,7 +56,7 @@ concepts:
       en: ackermann function of $1
       property: function
       area: "computability theory"
-      comments:
+      mathml:
        - "<math><mrow intent='ackermann-function($a1)'><mi>A</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Ackermann_function"
@@ -68,7 +68,7 @@ concepts:
       en: a d $1
       property: postfix. prefix
       area: "calendar units"
-      comments:
+      mathml:
        - "<math><mrow intent='ad($a1)'><mi>AD</mi><mo>&#x2009;</mo><mn arg='a1'>2024</mn></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Anno_Domini"
@@ -78,7 +78,7 @@ concepts:
       en: additive inverse of $1
       property: prefix
       area: "abstract algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='additive-inverse($a1)'><mo>-</mo><mi arg='a1'>n</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Additive_inverse"
@@ -92,7 +92,7 @@ concepts:
       en: adiabatic invariant first
       property: symbol
       area: "plasma physics"
-      comments:
+      mathml:
        - "<math><mi intent='adiabatic-invariant-first'>μ</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/AdiabaticInvariant.html"
@@ -104,7 +104,7 @@ concepts:
       en: adiabatic invariant second
       property: symbol
       area: "plasma physics"
-      comments:
+      mathml:
        - "<math><mi intent='adiabatic-invariant-second'>J</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/AdiabaticInvariant.html"
@@ -116,7 +116,7 @@ concepts:
       en: adiabatic invariant third
       property: symbol
       area: "plasma physics"
-      comments:
+      mathml:
        - "<math><mi intent='adiabatic-invariant-third'>Φ</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/AdiabaticInvariant.html"
@@ -128,7 +128,7 @@ concepts:
       en: adjoint of $1
       property: 
       area: 
-      comments:
+      mathml:
        - "<math><mrow intent='adjoint($a1)'><msup><mi arg='a1'>G</mi><mo>′</mo></msup></mrow></math>"
        - "<math><mrow intent='adjoint($a1)'><msup><mi arg='a1'>G</mi><mo>†</mo></msup></mrow></math>"
        - "<math><mrow intent='adjoint($a1)'><msub><mi>Ad</mi><mi arg='a1'>g</mi></msub></mrow></math>"
@@ -142,7 +142,7 @@ concepts:
       en: adjoint action of $1
       property: "function/msub"
       area: "lie algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='adjoint-action($a1)'><mi>ad</mi><mrow><mo>(</mo><mi arg='a1'>f</mi><mo>)</mo></mrow></mrow></math>"
        - "<math><msub intent='adjoint-action($a1)'><mi>ad</mi><mi arg='a1'>f</mi></msub></math>"
       urls: 
@@ -158,7 +158,7 @@ concepts:
       en: adjoint representation of $1
       property: function
       area: "lie algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='adjoint-representation($a1)'><mi>Ad</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/AdjointRepresentation.html"
@@ -170,7 +170,7 @@ concepts:
       en: adjugate of $1
       property: function
       area: "linear algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='adjugate($a1)'><mi>adj</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Adjugate_matrix"
@@ -180,7 +180,7 @@ concepts:
       en: affine group of $1
       property: function
       area: "group theory"
-      comments:
+      mathml:
        - "<math><mrow intent='affine-group($a1)'><mi>Aff</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/AffineGroup.html"
@@ -192,7 +192,7 @@ concepts:
       en: affine hull of $1
       property: function
       area: "affine geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='affine-hull($a1)'><mi>aff</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/AffineHull.html"
@@ -204,7 +204,7 @@ concepts:
       en: affine line
       property: symbol
       area: "universal algebra?"
-      comments:
+      mathml:
        - "<math><mi intent='affine-line'>𝔸</mi></math>"
       urls: 
        - "https://ncatlab.org/nlab/show/affine+line"
@@ -214,7 +214,7 @@ concepts:
       en: airy function of $1
       property: function
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='airy-function($a1)'><mi>Ai</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='airy-function($a1)'><mi>Bi</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
       urls: 
@@ -231,7 +231,7 @@ concepts:
       en: albanese variety of $1
       property: function
       area: "algebraic geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='albanese-variety($a1)'><mi>A</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='albanese-variety($a1)'><mi>Alb</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
       urls: 
@@ -245,7 +245,7 @@ concepts:
       en: aleph
       property: symbol
       area: "set theory"
-      comments:
+      mathml:
        - "<math><mi intent='aleph'>ℵ</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/Aleph.html"
@@ -257,7 +257,7 @@ concepts:
       en: algebraics
       property: symbol
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mi intent='algebraics'>𝔸</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/Algebraics.html"
@@ -267,7 +267,7 @@ concepts:
       en: algebraic closure of $1
       property: mover/msup
       area: "algebra"
-      comments:
+      mathml:
        - "<math><mover intent='algebraic-closure($a1)'><mi arg='a1'>A</mi><mo>¯</mo></mover></math>"
        - "<math><msup intent='algebraic-closure($a1)'><mi arg='a1'>A</mi><mi>alg</mi></msup></math>"
       urls: 
@@ -280,7 +280,7 @@ concepts:
       en: almost surely of $1
       property: 
       area: "probability theory"
-      comments:
+      mathml:
        - "<math><mrow intent='almost-surely($a1)'><mi arg='a1'>E</mi><mi>m.s.</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Almost_surely"
@@ -290,7 +290,7 @@ concepts:
       en: alternating factorial of $1
       property: function
       area: "functions"
-      comments:
+      mathml:
        - "<math><mrow intent='alternating-factorial($a1)'><mi>af</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Alternating_factorial"
@@ -300,7 +300,7 @@ concepts:
       en: alternating group of $1
       property: function
       area: "group theory"
-      comments:
+      mathml:
        - "<math><mrow intent='alternating-group($a1)'><mi>A</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='alternating-group($a1)'><mi>Alt</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
       urls: 
@@ -313,7 +313,7 @@ concepts:
       en: $1 alternation $2
       property: infix
       area: "logic"
-      comments:
+      mathml:
        - "<math><mrow intent='alternation($a1,$a2)'><mi arg='a1'>X</mi><mo>|</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Alternation_(formal_language_theory)"
@@ -329,7 +329,7 @@ concepts:
       en: $1 alternative denial $2
       property: infix, prefix
       area: "propositional calculus"
-      comments:
+      mathml:
        - "<math><mrow intent='alternative-denial($a1,$a2)'><mi arg='a1'>p</mi><mo>|</mo><mi arg='a2'>q</mi></mrow></math>"
        - "<math><mrow intent='alternative-denial($a1,$a2)'><mi arg='a1'>p</mi><mo>↑</mo><mi arg='a2'>q</mi></mrow></math>"
        - "<math><mrow intent='alternative-denial($a1,$a2)'><mi>D</mi><mi arg='a1'>p</mi><mi arg='a2'>q</mi></mrow></math>"
@@ -345,7 +345,7 @@ concepts:
       en: amalgam of $1 $2 $3 $4 $5
       property: fenced, 5-tuple
       area: "model theory"
-      comments:
+      mathml:
        - "<math><mrow intent='amalgam($a1,$a2,$a2,$a3,$a4,$a5)'><mo>(</mo><mi arg='a1'>A</mi><mo>,</mo><mi arg='a2'>f</mi><mo>,</mo><mi arg='a3'>B</mi><mo>,</mo><mi arg='a4'>g</mi><mo>,</mo><mi arg='a5'>C</mi><mo>)</mo></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Amalgamation_property"
@@ -356,7 +356,7 @@ concepts:
       en: Free product with amalgamation of $1 and $3 with respect to $2
       property: indexed infix
       area: "group theory"
-      comments:
+      mathml:
        - "<math><mrow intent='amalgamated-product($a1,$a2,$a3)'><mi arg='a1'>A</mi><msub><mo>⁎</mo><mi arg='a3'>C</mi></msub><mi arg='a2'>B</mi></mrow></math>"
       urls: 
        - "https://math.stackexchange.com/questions/828828/amalgamated-product"
@@ -371,7 +371,7 @@ concepts:
       en: analytic manifold
       property: symbol
       area: "topology"
-      comments:
+      mathml:
        - "<math><msup intent='analytic-manifold'><mi>C</mi><mi>w</mi></msup></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Analytic_manifold"
@@ -383,7 +383,7 @@ concepts:
       en: anger function of $1
       property: function
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='anger-function($a1)'><mi>J</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/AngerFunction.html"
@@ -396,7 +396,7 @@ concepts:
       en: angle of parallelism of $1
       property: function
       area: "hyperbolic geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='angle-of-parallelism($a1)'><mi>Π</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/AngleofParallelism.html"
@@ -407,7 +407,7 @@ concepts:
       en: angular momentum
       property: symbol
       area: "classical mechanics"
-      comments:
+      mathml:
        - "<math><mi intent='angular-momentum'>L</mi></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Angular_momentum"
@@ -419,7 +419,7 @@ concepts:
       en: angular velocity
       property: symbol
       area: "classical mechanics"
-      comments:
+      mathml:
        - "<math><mi intent='angular-velocity'>ω</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/AngularVelocity.html"
@@ -431,7 +431,7 @@ concepts:
       en: "anharmonic ratio of $1 , $2 , $3 , $4"
       property: fenced
       area: "geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='anharmonic-ratio($a1,$a2,$a3,$a4)'><mo>(</mo><mi arg='a1'>A</mi><mo>,</mo><mi arg='a2'>B</mi><mo>;</mo><mi arg='a3'>C</mi><mo>,</mo><mi arg='a4'>D</mi><mo>)</mo></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/AnharmonicRatio.html"
@@ -443,7 +443,7 @@ concepts:
       en: annihilator of $1
       property: function
       area: "ring theory"
-      comments:
+      mathml:
        - "<math><mrow intent='annihilator($a1)'><mi>Ann</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Annihilator.html"
@@ -455,7 +455,7 @@ concepts:
       en: annulus of $1
       property: function
       area: "complex analysis"
-      comments:
+      mathml:
        - "<math><mrow intent='annulus($a1)'><mi>ann</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Annulus_(mathematics)"
@@ -467,7 +467,7 @@ concepts:
       en: antiparticle of $1
       property: mover
       area: "particle physics"
-      comments:
+      mathml:
        - "<math><mover intent='antiparticle($a1)'><mi arg='a1'>p</mi><mo>¯</mo></mover></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Antimatter"
@@ -480,7 +480,7 @@ concepts:
       en: $1 apartness relation $2
       property: infix
       area: "constructive mathematics"
-      comments:
+      mathml:
        - "<math><mrow intent='apartness-relation($a1,$a2)'><mi arg='a1'>X</mi><mo>#</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Apartness_relation"
@@ -491,7 +491,7 @@ concepts:
       en: apery constant
       property: symbol
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='apery-constant'><mi>ζ</mi><mrow><mo>(</mo><mn>3</mn><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/AperysConstant.html"
@@ -504,7 +504,7 @@ concepts:
       en: arcminute of $1
       property: unit
       area: "SI-mentioned units"
-      comments:
+      mathml:
        - "<math><mrow intent='arcminute($a1)'><mi>arcmin</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='arcminute($a1)'><mi>amin</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
       notationa: "mo ′"
@@ -522,7 +522,7 @@ concepts:
       en: arcsecond of $1
       property: unit
       area: "SI-mentioned units"
-      comments:
+      mathml:
        - "<math><mrow intent='arcsecond($a1)'><mi>arcsec</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='arcsecond($a1)'><mi>asec</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
       notationa: "mo ′′"
@@ -537,7 +537,7 @@ concepts:
       en: area
       property: symbol
       area: "geometry"
-      comments:
+      mathml:
        - "<math><mi intent='area'>A</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/Area.html"
@@ -549,7 +549,7 @@ concepts:
       en: arf invariant of $1
       property: function
       area: "geometric topology"
-      comments:
+      mathml:
        - "<math><mrow intent='arf-invariant($a1)'><mi>Arf</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/ArfInvariant.html"
@@ -561,7 +561,7 @@ concepts:
       en: argument of $1
       property: function
       area: "complex analysis"
-      comments:
+      mathml:
        - "<math><mrow intent='argument($a1)'><mi>Arg</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Argument_(complex_analysis)"
@@ -571,7 +571,7 @@ concepts:
       en: arithmetic geometric mean of $1
       property: function
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='arithmetic-geometric-mean($a1)'><mi>agm</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='arithmetic-geometric-mean($a1)'><mi>AGM</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
       urls: 
@@ -585,7 +585,7 @@ concepts:
       en: associated legendre polynomial of degree $1 and order $2
       property: function
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow><msubsup intent='associated-legendre-polynomial($a1,m2)'><mi>P</mi><mi arg='a1'>ℓ</mi><mi arg='a2'>m</mi></msubsup><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/AssociatedLegendrePolynomial.html"
@@ -597,7 +597,7 @@ concepts:
       en: associator of $1, $2, $3
       property: fenced
       area: "algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='associator($a1,$a2,$a3)'><mo>[</mo><mi arg='a1'>a</mi><mo>,</mo><mi arg='a2'>b</mi><mo>,</mo><mi arg='a3'>c</mi><mo>]</mo></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Associator.html"
@@ -610,7 +610,7 @@ concepts:
       en: automorphism group of $1
       property: function
       area: "group theory"
-      comments:
+      mathml:
        - "<math><mrow intent='automorphism-group($a1)'><mi>Aut</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/AutomorphismGroup.html"
@@ -621,7 +621,7 @@ concepts:
       en: backward difference of $1
       property: operator
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='backward-difference($a1)'><mi>∇</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/BackwardDifference.html"
@@ -633,7 +633,7 @@ concepts:
       en: baire space
       property: symbol
       area: "set theory"
-      comments:
+      mathml:
        - "<math><msup intent='baire-space'><mi>N</mi><mi>N</mi></msup></math>"
        - "<math><msup intent='baire-space'><mi>ω</mi><mi>ω</mi></msup></math>"
       urls: 
@@ -648,7 +648,7 @@ concepts:
       en: $1 barrels
       property: unit
       area: "imperial units"
-      comments:
+      mathml:
        - "<math><mrow intent='barrel($a1)'><mi arg='a1'>x</mi><mo>&#x2009;</mo><mi>bbl</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Barrel.html"
@@ -660,7 +660,7 @@ concepts:
       en: bateman function
       property: function
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='bateman-function($a1,$a2)'><msub><mi>k</mi><mi arg='a1'>v</mi></msub><mrow><mo>(</mo><mi arg='a2'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/BatemanFunction.html"
@@ -672,7 +672,7 @@ concepts:
       en: baumslag solitar group
       property: function
       area: "group theory"
-      comments:
+      mathml:
        - "<math><mrow intent='baumslag-solitar-group($a1,$a2)'><mi>BS</mi><mrow><mo>(</mo><mi arg='a1'>m</mi><mo>,</mo><mi arg='a2'>n</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Baumslag%E2%80%93Solitar_group"
@@ -683,7 +683,7 @@ concepts:
       en: $1 b c
       property: postfix
       area: "calendar units"
-      comments:
+      mathml:
        - "<math><mrow intent='bc($a1)'><mn arg='a1'>2024</mn><mo>&#x2009;</mo><mi>BC</mi></mrow></math>"      
       urls: 
        - "https://en.wikipedia.org/wiki/Anno_Domini"
@@ -693,7 +693,7 @@ concepts:
       en: $1<i>th</i> beatty sequence
       property: "indexed symbol"
       area: "number theory"
-      comments:
+      mathml:
        - "<math><msub intent='beatty-sequence($a1)'><mi>𝓑</mi><mi arg='a1'>r</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/BeattySequence.html"
@@ -704,7 +704,7 @@ concepts:
       en: $1<i>th</i> bell number
       property: "indexed symbol"
       area: "number theory"
-      comments:
+      mathml:
        - "<math><msub intent='bell-number($a1)'><mi>B</mi><mi arg='a1'>n</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/BellNumber.html"
@@ -728,7 +728,7 @@ concepts:
       en: berezin integral of $1
       property: indexed
       area: "mathematical physics"
-      comments:
+      mathml:
        - "<math><mrow intent='berezin-integral($a1)'><mo>∫</mo><mrow><mi arg='a1'>f</mi></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Berezin_integral"
@@ -740,7 +740,7 @@ concepts:
       en: $1<i>th</i> bergman space of $2
       property: "indexed function"
       area: "complex analysis"
-      comments:
+      mathml:
        - "<math><mrow intent='bergman-space($a1,$a2)'><msup><mi>A</mi><mi arg='a1'>n</mi></msup><mrow><mo>(</mo><mi arg='a2'>X</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/BergmanSpace.html"
@@ -752,7 +752,7 @@ concepts:
       en: $1<i>th</i> bernoulli number
       property: "indexed symbol"
       area: "number theory"
-      comments:
+      mathml:
        - "<math><msub intent='bernoulli-number($a1)'><mi>B</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/BernoulliNumber.html"
@@ -767,7 +767,7 @@ concepts:
       en: bernoulli polynomial $1 $2
       property: "indexed function"
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='bernoulli-polynomial($a1,$a2)'><msub><mi>B</mi><mi arg='a1'>n</mi></msub><mrow><mo>(</mo><mi arg='a2'>X</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/BernoulliPolynomial.html"
@@ -781,7 +781,7 @@ concepts:
       en: $1<i>th</i> bessel function of $2
       property: "indexed function"
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='bessel-function($a1,$a2)'><msub><mi>J</mi><mi arg='a1'>n</mi></msub><mrow><mo>(</mo><mi arg='a2'>X</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/BesselFunction.html"
@@ -794,7 +794,7 @@ concepts:
       en: $1<i>th</i> bessel function of second kind of $2
       property: "indexed function"
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='bessel-function-of-second-kind($a1,$a2)'><msub><mi>Y</mi><mi arg='a1'>n</mi></msub><mrow><mo>(</mo><mi arg='a2'>X</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/BesselFunctionoftheSecondKind.html"
@@ -806,7 +806,7 @@ concepts:
       en: $1<i>th</i> bessel polynomial of $2
       property: "indexed function"
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='bessel-polynomial($a1,$a2)'><msub><mi>y</mi><mi arg='a1'>n</mi></msub><mrow><mo>(</mo><mi arg='a2'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/BesselPolynomial.html"
@@ -819,7 +819,7 @@ concepts:
       en: beta distribution of $1
       property: function
       area: "probability theory"
-      comments:
+      mathml:
        - "<math><mrow intent='beta-distribution($a1)'><mi>B</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='beta-distribution($a1)'><mi>Beta</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='beta-distribution($a1)'><mi>𝓑𝓮</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
@@ -833,7 +833,7 @@ concepts:
       en: beta function of $1
       property: function
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='beta-function($a1)'><mi>B</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='beta-function($a1)'><mi>β</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
       urls: 
@@ -852,7 +852,7 @@ concepts:
       en: $1<i>th</i> betti number
       property: "indexed symbol"
       area: "graph theory"
-      comments:
+      mathml:
        - "<math><msub intent='betti-number($a1)'><mi>b</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/BettiNumber.html"
@@ -865,7 +865,7 @@ concepts:
       en: $1 biconditional $2
       property: infix
       area: "logic"
-      comments:
+      mathml:
        - "<math><mrow intent='biconditional($a1,$a2)'><mi arg='a1'>X</mi><mo>⇔</mo><mi arg='a2'>Y</mi></mrow></math>"
        - "<math><mrow intent='biconditional($a1,$a2)'><mi arg='a1'>X</mi><mo>≡</mo><mi arg='a2'>Y</mi></mrow></math>"
        - "<math><mrow intent='biconditional($a1,$a2)'><mi arg='a1'>X</mi><mo>iff</mo><mi arg='a2'>Y</mi></mrow></math>"
@@ -881,7 +881,7 @@ concepts:
       en: big O of $1
       property: prefix
       area: "complexity"
-      comments:
+      mathml:
        - "<math><mrow intent='big-O($a1)'><mi>O</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Big_O_notation"
@@ -892,7 +892,7 @@ concepts:
       en: bigeometric integral of $1
       property: indexed
       area: "calculus"
-      comments:
+      mathml:
        - "<math><mrow intent='bigeometric-integral($a1)'><mo>∫</mo><mrow><mo>(</mo><mi arg='a1'>f</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Product_integral"
@@ -902,7 +902,7 @@ concepts:
       en: bijection, $1, of $2 to $3
       property: mixfix
       area: "set theory"
-      comments:
+      mathml:
        - "<math><mrow intent='bijection($a1,$a2,$a3)'><mi arg='a1'>f</mi><mo>:</mo><mi arg='a2'>X</mi><mo>⤖</mo><mi arg='a3'>Y</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Bijection#Definition"
@@ -912,7 +912,7 @@ concepts:
       en: binary golay code
       property: symbol
       area: "coding theory"
-      comments:
+      mathml:
        - "<math><msub intent='binary-golay-code'><mi>G</mi><mn>23</mn></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/BinaryGolayCode.html"
@@ -923,7 +923,7 @@ concepts:
       en: binomial coefficient $1 choose $2
       property: "indexed function"
       area: "combinatorics"
-      comments:
+      mathml:
        - "<math><mrow intent='binomial-coefficient($a1,$a2)'><mo>(</mo><mfrac linethickness='0pt'><mi arg='a1'>n</mi><mi arg='a2'>k</mi></mfrac><mo>)</mo></mrow></math>"
        - "<math><mmultiscripts intent='binomial-coefficient($a1,$a2)'><mi>C</mi><mi arg='a2'>k</mi><mrow/><mprescripts/><mrow/><mi arg='a1'>n</mi></mmultiscripts></math>"
       urls: 
@@ -940,7 +940,7 @@ concepts:
       en: binomial distribution $1 $2
       property: function
       area: "probability theory"
-      comments:
+      mathml:
        - "<math><mrow intent='binomial-distribution($a1,$a2)'><mi>B</mi><mrow><mo>(</mo><mi arg='a1'>n</mi><mo>,</mo><mi arg='a2'>p</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/BinomialDistribution.html"
@@ -952,7 +952,7 @@ concepts:
       en: bit
       property: symbol
       area: "computer science"
-      comments:
+      mathml:
        - "<math><mn intent='bit'>0</mn></math>"
        - "<math><mn intent='bit'>1</mn></math>"
       urls: 
@@ -965,7 +965,7 @@ concepts:
       en: bipolar set of $1
       property: msup
       area: "functional analysis"
-      comments:
+      mathml:
        - "<math><msup intent='bipolar-set($a1)'><mi arg='a1'>X</mi><mo>°°</mo></msup></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Polar_set"
@@ -977,7 +977,7 @@ concepts:
       en: biquaternion of $1
       property: mtable
       area: "ring theory"
-      comments:
+      mathml:
        - "<math><mrow intent='biquaternion($a1)'><mo>(</mo><mtable rowspacing='4pt' columnspacing='1em'><mtr><mtd><mi>u</mi><mo>+</mo><mi>h</mi><mi>v</mi></mtd><mtd><mi>w</mi><mo>+</mo><mi>h</mi><mi arg='a1'>x</mi></mtd></mtr><mtr><mtd><mo>−</mo><mi>w</mi><mo>+</mo><mi>h</mi><mi arg='a1'>x</mi></mtd><mtd><mi>u</mi><mo>−</mo><mi>h</mi><mi>v</mi></mtd></mtr></mtable><mo>)</mo></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Biquaternion#Linear_representation"
@@ -987,7 +987,7 @@ concepts:
       en: blaschke product of $1
       property: function
       area: "complex analysis"
-      comments:
+      mathml:
        - "<math><mrow intent='blaschke-product($a1)'><mi>B</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/BlaschkeProduct.html"
@@ -999,7 +999,7 @@ concepts:
       en: bloch constant
       property: symbol
       area: "complex analysis"
-      comments:
+      mathml:
        - "<math><mi intent='bloch-constant'>B</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/BlochConstant.html"
@@ -1010,7 +1010,7 @@ concepts:
       en: boolean domain
       property: symbol
       area: "abstract algebra"
-      comments:
+      mathml:
        - "<math><mi intent='boolean-domain'>𝔹</mi></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Boolean_domain"
@@ -1021,7 +1021,7 @@ concepts:
       en: bottom type
       property: symbol
       area: "category theory"
-      comments:
+      mathml:
        - "<math><mi intent='bottom-type'>⊥</mi></math>"
       urls: 
        - "https://ncatlab.org/nlab/show/bottom"
@@ -1035,7 +1035,7 @@ concepts:
       en: bottom element
       property: symbol
       area: "order theory"
-      comments:
+      mathml:
        - "<math><mi intent='bottom-element'>⊥</mi></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Greatest_element_and_least_element"
@@ -1048,7 +1048,7 @@ concepts:
       en: boundary of $1
       property: function
       area: "topology"
-      comments:
+      mathml:
        - "<math><mrow intent='boundary($a1)'><mi>bd</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='boundary($a1)'><mi>fr</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='boundary($a1)'><mi>∂</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
@@ -1065,7 +1065,7 @@ concepts:
       en: bounded variation of $1
       property: function
       area: "analysis"
-      comments:
+      mathml:
        - "<math><mrow intent='bounded-variation($a1)'><mi>BV</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/BoundedVariation.html"
@@ -1076,7 +1076,7 @@ concepts:
       en: $1 box product $2
       property: infix
       area: "graph theory"
-      comments:
+      mathml:
        - "<math><mrow intent='box-product($a1,$a2)'><mi arg='a1'>X</mi><mo>☐</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Cartesian_product_of_graphs"
@@ -1088,7 +1088,7 @@ concepts:
       en: brauer group of $1
       property: function
       area: "group theory"
-      comments:
+      mathml:
        - "<math><mrow intent='brauer-group($a1)'><mi>Br</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/BrauerGroup.html"
@@ -1101,7 +1101,7 @@ concepts:
       en: brun constant
       property: symbol
       area: "number theory"
-      comments:
+      mathml:
        - "<math><msub intent='brun-constant'><mi>B</mi><mn>4</mn></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/BrunsConstant.html"
@@ -1112,7 +1112,7 @@ concepts:
       en: burnside group of $1
       property: function
       area: "group theory"
-      comments:
+      mathml:
        - "<math><mrow intent='burnside-group($a1)'><mi>B</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://www.encyclopediaofmath.org/index.php/Burnside_group"
@@ -1122,7 +1122,7 @@ concepts:
       en: cahen constant
       property: symbol
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mi intent='cahen-constant'>C</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/CahensConstant.html"
@@ -1133,7 +1133,7 @@ concepts:
       en: calderon toeplitz operator $1 $2
       property: "indexed symbol"
       area: "operator theory"
-      comments:
+      mathml:
        - "<math><mrow intent='calderon-toeplitz-operator($a1,$a2)'><msub><mi>T</mi><mrow><mi arg='a1'>b</mi><mi arg='a2'>ψ</mi></mrow></msub></mrow></math>"
       urls: 
        - "https://www.encyclopediaofmath.org/index.php/Calderon-Toeplitz_operator"
@@ -1143,7 +1143,7 @@ concepts:
       en: canonical commutation relation
       property: fenced
       area: "quantum mechanics"
-      comments:
+      mathml:
        - "<math><mrow intent='canonical-commutation-relation($a1,$a2)'><mo>[</mo><mi arg='a1'>x</mi><mo>,</mo><mi arg='a2'>y</mi><mo>]</mo></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Canonical_commutation_relation"
@@ -1153,7 +1153,7 @@ concepts:
       en: $1 cap product $2
       property: infix
       area: "algebraic topology"
-      comments:
+      mathml:
        - "<math><mrow intent='cap-product($a1,$a2)'><mi arg='a1'>X</mi><mo>⌢</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Cap_product"
@@ -1164,7 +1164,7 @@ concepts:
       en: cardinality of $1
       property: many
       area: "set theory"
-      comments:
+      mathml:
        - "<math><mrow intent='cardinality($a1)'><mo>#</mo><mi arg='a1'>X</mi></mrow></math>"
        - "<math><mrow intent='cardinality($a1)'><mi>card</mi><mrow><mo>(</mo><mi arg='a1'>X</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
@@ -1179,7 +1179,7 @@ concepts:
       en: carmichael function of $1
       property: function
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='carmichael-function($a1)'><mi>λ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/CarmichaelFunction.html"
@@ -1190,7 +1190,7 @@ concepts:
       en: $1 cartesian product $2
       property: infix
       area: "set theory"
-      comments:
+      mathml:
        - "<math><mrow intent='cartesian-product($a1,$a2)'><mi arg='a1'>X</mi><mo>×</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/CartesianProduct.html"
@@ -1204,7 +1204,7 @@ concepts:
       en: casimir element
       property: symbol
       area: "lie algebra"
-      comments:
+      mathml:
        - "<math><mi intent='casimir-element'>Ω</mi></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Casimir_element"
@@ -1214,7 +1214,7 @@ concepts:
       en: catalan constant
       property: symbol
       area: "combinatorics"
-      comments:
+      mathml:
        - "<math><mi intent='catalan-constant'>G</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/CatalansConstant.html"
@@ -1226,7 +1226,7 @@ concepts:
       en: $1<i>th</i> catalan number
       property: "indexed symbol"
       area: "combinatorics"
-      comments:
+      mathml:
        - "<math><msub intent='catalan-number($a1)'><mi>C</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/CatalanNumber.html"
@@ -1238,7 +1238,7 @@ concepts:
       en: category of algebraic lattices
       property: symbol
       area: "universal algebra"
-      comments:
+      mathml:
        - "<math><mi intent='category-of-algebraic-lattices'>AlgCat</mi></math>"
       urls: 
        - "https://ncatlab.org/nlab/show/algebraic+lattice"
@@ -1248,7 +1248,7 @@ concepts:
       en: category of sets
       property: symbol
       area: "category theory"
-      comments:
+      mathml:
        - "<math><mi intent='category-of-sets'>Set</mi></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Category_of_sets"
@@ -1260,7 +1260,7 @@ concepts:
       en: category of small categories
       property: symbol
       area: "category theory"
-      comments:
+      mathml:
        - "<math><mi intent='category-of-small-categories'>Cat</mi></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Category_of_small_categories"
@@ -1270,7 +1270,7 @@ concepts:
       en: cauchy principal value of $1
       property: function
       area: "analysis"
-      comments:
+      mathml:
        - "<math><mrow intent='cauchy-principal-value($a1)'><mi>p.v.</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/CauchyPrincipalValue.html"
@@ -1283,7 +1283,7 @@ concepts:
       en: $1 cauchy product $2
       property: infix
       area: "analysis"
-      comments:
+      mathml:
        - "<math><mrow intent='cauchy-product($a1,$a2)'><mi arg='a1'>X</mi><mo>⋅</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/CauchyProduct.html"
@@ -1294,7 +1294,7 @@ concepts:
       en: cavitation number
       property: symbol
       area: "physics"
-      comments:
+      mathml:
        - "<math><mi intent='cavitation-number'>Ca</mi></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Euler_number_(physics)#Cavitation_number"
@@ -1304,7 +1304,7 @@ concepts:
       en: cayley table of $1
       property: mtable
       area: "group theory"
-      comments:
+      mathml:
        - "<math><mrow intent='cayley-table($a1)'><mtable arg='a1'><mtr><mtd><mo>×</mo></mtd><mtd><mn>1</mn></mtd><mtd><mn>−1</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>−1</mn></mtd></mtr><mtr><mtd><mn>−1</mn></mtd><mtd><mn>−1</mn></mtd><mtd><mn>1</mn></mtd></mtr></mtable></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/CayleyTable.html"
@@ -1316,7 +1316,7 @@ concepts:
       en: ceiling of $1
       property: fenced, function
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='ceiling($a1)'><mo>⌈</mo><mi arg='a1'>X</mi><mo>⌉</mo></mrow></math>"
        - "<math><mrow intent='ceiling($a1)'><mo>&#x27e7;</mo><mi arg='a1'>X</mi><mo>&#x27e6;</mo></mrow></math>"
        - "<math><mrow intent='ceiling($a1)'><mo>]</mo><mi arg='a1'>X</mi><mo>[</mo></mrow></math>"
@@ -1330,7 +1330,7 @@ concepts:
       en: center of $1
       property: function
       area: "algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='center($a1)'><mi>Z</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Center_(group_theory)"
@@ -1344,7 +1344,7 @@ concepts:
       en: centralizer of $1
       property: function
       area: "group theory"
-      comments:
+      mathml:
        - "<math><msub intent='centralizer($a1)'><mi>C</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/Centralizer.html"
@@ -1357,7 +1357,7 @@ concepts:
       en: $1 chains
       property: unit
       area: "imperial units"
-      comments:
+      mathml:
        - "<math><mrow intent='chain($a1)'><mi arg='a1'>x</mi><mo>&#x2009;</mo><mi>chain</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Chain_(unit)"
@@ -1367,7 +1367,7 @@ concepts:
       en: champernowne constant
       property: constant
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mi intent='champernowne-constant'>C</mi></math>"
        - "<math><msup intent='champernowne-constant'><mi>C</mi><mn>10</mn></msup></math>"
       urls: 
@@ -1379,7 +1379,7 @@ concepts:
       en: character of $1
       property: "indexed function"
       area: "group theory"
-      comments:
+      mathml:
        - "<math><mrow intent='character($a1)'><mi>χ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Character.html"
@@ -1394,7 +1394,7 @@ concepts:
       en: characteristic of $1
       property: function
       area: "ring theory"
-      comments:
+      mathml:
        - "<math><mrow intent='characteristic($a1)'><mi>char</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Characteristic.html"
@@ -1407,7 +1407,7 @@ concepts:
       en: characteristic function of $1
       property: "indexed function, function"
       area: "probability theory"
-      comments:
+      mathml:
        - "<math><msub intent='characteristic-function($a1)'><mi>𝟏</mi><mi arg='a1'>X</mi></msub></math>"
        - "<math><mrow intent='characteristic-function($a1)'><mn>1</mn><mrow><mo>{</mo><mi arg='a1'>X</mi><mo>}</mo></mrow></mrow></math>"
       urls: 
@@ -1426,7 +1426,7 @@ concepts:
       en: $1 characteristic subgroup $2
       property: infix
       area: "group theory"
-      comments:
+      mathml:
        - "<math><mrow intent='characteristic-subgroup($a1,$a2)'><mi arg='a1'>X</mi><mo>char</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Characteristic_subgroup"
@@ -1437,7 +1437,7 @@ concepts:
       en: charlier polynomial of $1
       property: function
       area: "special functions"
-      comments:
+      mathml:
        - "<math><msub intent='charlier-polynomial($a1)'><mi>C</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/CharlierPolynomial.html"
@@ -1450,7 +1450,7 @@ concepts:
       en: chebyshev polynomial of first kind of $1
       property: function
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='chebyshev-polynomial-of-first-kind($a1)'><mi>θ</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='chebyshev-polynomial-of-first-kind($a1)'><mi>ϑ</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='chebyshev-polynomial-of-first-kind($a1)'><mi>T</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
@@ -1466,7 +1466,7 @@ concepts:
       en: chebyshev polynomial of second kind of $1
       property: function
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='chebyshev-polynomial-of-second-kind($a1)'><mi>ψ</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='chebyshev-polynomial-of-second-kind($a1)'><mi>U</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
       urls: 
@@ -1481,7 +1481,7 @@ concepts:
       en: cheeger constant of $1
       property: function
       area: "Riemannian geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='cheeger-constant($a1)'><mi>h</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Cheeger_constant"
@@ -1491,7 +1491,7 @@ concepts:
       en: cheeger number of $1
       property: function
       area: "graph theory"
-      comments:
+      mathml:
        - "<math><mrow intent='cheeger-number($a1)'><mi>h</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Cheeger_constant_(graph_theory)"
@@ -1504,7 +1504,7 @@ concepts:
       en: $1 chemical equilibrium $2
       property: infix
       area: "chemistry"
-      comments:
+      mathml:
        - "<math><mrow intent='chemical-equilibrium($a1,$a2)'><mi arg='a1'>X</mi><mo>⇌</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Chemical_equilibrium"
@@ -1516,7 +1516,7 @@ concepts:
       en: chi squared distribution
       property: symbol
       area: "probability theory"
-      comments:
+      mathml:
        - "<math><msup intent='chi-squared-distribution'><mi>χ</mi><mn>2</mn></msup></math>"
       urls: 
        - "https://mathworld.wolfram.com/Chi-SquaredDistribution.html"
@@ -1528,7 +1528,7 @@ concepts:
       en: chord of $1
       property: function
       area: "geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='chord($a1)'><mi>crd</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Chord_(geometry)"
@@ -1538,7 +1538,7 @@ concepts:
       en: christoffel symbol of first kind of $1, $2, $3
       property: "indexed symbol"
       area: "Riemannian geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='christoffel-symbol-of-first-kind($a1,$a2,$a3)'><msub><mi>&#x0393;</mi><mrow><mi arg='a3'>k</mi><mi arg='a1'>i</mi><mi arg='a2'>j</mi></mrow></msub></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/ChristoffelSymbol.html"
@@ -1551,7 +1551,7 @@ concepts:
       en: christoffel symbol of second kind of $1 $2 $3
       property: "indexed symbol"
       area: "Riemannian geometry"
-      comments:
+      mathml:
        - "<math><mmultiscripts intent='christoffel-symbol-of-second-kind($a1,$a2,$a3)'><mi>&#x0393;</mi><mrow/><mi arg='a3'>k</mi><mi arg='a1'>i</mi><mrow/><mi arg='a2'>j</mi><mrow/></mmultiscripts></math>"
       urls: 
        - "https://mathworld.wolfram.com/ChristoffelSymbol.html"
@@ -1564,7 +1564,7 @@ concepts:
       en: chromatic polynomial of $1
       property: function
       area: "graph theory"
-      comments:
+      mathml:
        - "<math><msub intent='chromatic-polynomial($a1)'><mi>P</mi><mi arg='a1'>x</mi></msub></math>"
        - "<math><msub intent='chromatic-polynomial($a1)'><mi>π</mi><mi arg='a1'>x</mi></msub></math>"
        - "<math><msub intent='chromatic-polynomial($a1)'><mi>χ</mi><mi arg='a1'>x</mi></msub></math>"
@@ -1577,7 +1577,7 @@ concepts:
       en: classifying space of $1
       property: function
       area: "group theory"
-      comments:
+      mathml:
        - "<math><mrow intent='classifying-space($a1)'><mi>B</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='classifying-space($a1)'><mi>ℬ</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
       urls: 
@@ -1590,7 +1590,7 @@ concepts:
       en: clausen function of $1
       property: function
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='clausen-function($a1)'><msub><mi>Cl</mi><mn>2</mn></msub><mrow><mo>(</mo><mi arg='a1'>&#x03c6;</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Clausen_function"
@@ -1600,7 +1600,7 @@ concepts:
       en: clebsch gordan coefficient $1 $2 $3 $4 $5 $6 $7 $8
       property: fenced
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='clebsch-gordan-coefficient($a1,$a2,$a3,$a4,$a5,$a6,$a7,$a8)'><mo>(</mo><msub arg='a1'><mi>j</mi><mn>1</mn></msub><msub arg='a2'><mi>j</mi><mn>2</mn></msub><msub arg='a3'><mi>m</mi><mn>1</mn></msub><msub arg='a4'><mi>m</mi><mn>2</mn></msub><mo>|</mo><msub arg='a5'><mi>j</mi><mn>1</mn></msub><msub arg='a6'><mi>j</mi><mn>2</mn></msub><mi arg='a7'>j</mi><mi arg='a8'>m</mi><mo>)</mo></mrow></math>"
        - "<math><mrow intent='clebsch-gordan-coefficient($a1,$a2,$a3,$a4,$a5,$a6,$a7,$a8)'><mo>⟨</mo><msub arg='a1'><mi>j</mi><mn>1</mn></msub><msub arg='a2'><mi>j</mi><mn>2</mn></msub><msub arg='a3'><mi>m</mi><mn>1</mn></msub><msub arg='a4'><mi>m</mi><mn>2</mn></msub><mo>|</mo><msub arg='a5'><mi>j</mi><mn>1</mn></msub><msub arg='a6'><mi>j</mi><mn>2</mn></msub><mi arg='a7'>j</mi><mi arg='a8'>m</mi><mo>⟩</mo></mrow></math>"
       urls: 
@@ -1614,7 +1614,7 @@ concepts:
       en: clifford algebra of $1
       property: function
       area: "universal algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='clifford-algebra($a1)'><mi>Cl</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Clifford_algebra"
@@ -1624,7 +1624,7 @@ concepts:
       en: clique
       property: symbol
       area: "graph theory"
-      comments:
+      mathml:
        - "<math><mi intent='clique'>C</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/Clique.html"
@@ -1636,7 +1636,7 @@ concepts:
       en: clique number of $1
       property: function
       area: "graph theory"
-      comments:
+      mathml:
        - "<math><mrow intent='clique-number($a1)'><mi>ω</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Clique_number"
@@ -1646,7 +1646,7 @@ concepts:
       en: closed ball $1 $2
       property: mixfix
       area: "topology"
-      comments:
+      mathml:
        - "<math><mrow intent='closed-ball($a1,$a2)'><msub><mi>B</mi><mi arg='a1'>r</mi></msub><mrow><mo>[</mo><mi arg='a2'>p</mi><mo>]</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/OpenBall.html"
@@ -1659,7 +1659,7 @@ concepts:
       en: closed interval
       property: fenced
       area: "calculus"
-      comments:
+      mathml:
        - "<math><mrow intent='closed-interval($a1,$a2)'><mo>[</mo><mi arg='a1'>x</mi><mo>,</mo><mi arg='a2'>y</mi><mo>]</mo></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/ClosedInterval.html"
@@ -1670,7 +1670,7 @@ concepts:
       en: closed neighbourhood of $2 in $1
       property: "indexed function, function"
       area: "graph theory"
-      comments:
+      mathml:
        - "<math><mrow intent='closed-neighbourhood($a1,$a2)'><msub><mi>N</mi><mi arg='a2'>v</mi></msub><mrow><mo>[</mo><mi arg='a1'>G</mi><mo>]</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Neighbourhood_(graph_theory)"
@@ -1680,7 +1680,7 @@ concepts:
       en: closure of $1
       property: "function, msup"
       area: "abstract algebra,, topology"
-      comments:
+      mathml:
        - "<math><mrow intent='closure($a1)'><mi>cl</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='closure($a1)'><mi>Cl</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><msup intent='closure($a1)'><mi arg='a1'>X</mi><mo>−</mo></msup></math>"
@@ -1696,7 +1696,7 @@ concepts:
       en: codimension of $1
       property: function
       area: "linear algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='codimension($a1)'><mi>codim</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Codimension.html"
@@ -1709,7 +1709,7 @@ concepts:
       en: cofinality of $1
       property: function
       area: "order theory"
-      comments:
+      mathml:
        - "<math><mrow intent='cofinality($a1)'><mi>cf</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Cofinality"
@@ -1720,7 +1720,7 @@ concepts:
       en: cofinite filter
       property: symbol
       area: "order theory"
-      comments:
+      mathml:
        - "<math><mi intent='cofinite-filter'>F</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/CofiniteFilter.html"
@@ -1733,7 +1733,7 @@ concepts:
       en: coherence of $1
       property: "indexed function"
       area: "signal processing, quantum physics"
-      comments:
+      mathml:
        - "<math><mrow intent='coherence($a1)'><mi>C</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='coherence($a1)'><mi>γ</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
       urls: 
@@ -1745,7 +1745,7 @@ concepts:
       en: coimage of $1
       property: function
       area: "abstract algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='coimage($a1)'><mi>coim</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Coimage"
@@ -1756,7 +1756,7 @@ concepts:
       en: cokernel of $1
       property: function
       area: "category theory"
-      comments:
+      mathml:
        - "<math><mrow intent='cokernel($a1)'><mi>coker</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Cokernel.html"
@@ -1769,7 +1769,7 @@ concepts:
       en: column vector of $1 $2 ...
       property: mtable
       area: "linear algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='column-vector($a1,a2,a3)'><mo>(</mo><mtable><mtr><mtd><mi arg='a1'>x</mi></mtd></mtr><mtr><mtd><mi arg='a2'>y</mi></mtd></mtr><mtr><mtd><mi arg='a3'>z</mi></mtd></mtr></mtable><mo>)</mo></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/ColumnVector.html"
@@ -1780,7 +1780,7 @@ concepts:
       en: comma category $1 $2
       property: mixfix
       area: "category theory"
-      comments:
+      mathml:
        - "<math><mrow intent='comma-category($a1,$a2)'><mo>(</mo><mi arg='a1'>x</mi><mo>↓</mo><mi arg='a2'>y</mi><mo>)</mo></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Comma_category"
@@ -1790,7 +1790,7 @@ concepts:
       en: commutator
       property: fenced
       area: "abstract algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='commutator($a1,$a2)'><mo>[</mo><mi arg='a1'>a</mi><mo>,</mo><mi arg='a2'>b</mi><mo>]</mo></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Commutator.html"
@@ -1803,7 +1803,7 @@ concepts:
       en: commutator subgroup of $1
       property: msup, fenced
       area: "abstract algebra"
-      comments:
+      mathml:
        - "<math><msup intent='commutator-subgroup($a1)'><mi arg='a1'>X</mi><mo>'</mo></msup></math>"
        - "<math><msup intent='commutator-subgroup($a1)'><mi arg='a1'>X</mi><mrow><mo>(</mo><mn>1</mn><mo>)</mo></mrow></msup></math>"
        - "<math><mrow intent='commutator-subgroup($a1)'><mo>[</mo><mi arg='a1'>X</mi><mo>,</mo><mi>X</mi><mo>]</mo></mrow></math>"
@@ -1823,7 +1823,7 @@ concepts:
       en: companion lehmer number of $1
       property: "indexed function"
       area: "number theory"
-      comments:
+      mathml:
        - "<math><msub intent='companion-lehmer-number($a1)'><mi>V</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/LehmerNumber.html"
@@ -1835,7 +1835,7 @@ concepts:
       en: $1 comparability $2
       property: infix
       area: "order theory"
-      comments:
+      mathml:
        - "<math><mrow intent='comparability($a1,$a2)'><mi arg='a1'>X</mi><mo>⪋</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Comparability"
@@ -1847,7 +1847,7 @@ concepts:
       en: complement of interval
       property: fenced
       area: "order theory"
-      comments:
+      mathml:
        - "<math><mrow intent='complement-of-interval($a1,$a2)'><mo>]</mo><mi arg='a1'>a</mi><mo>,</mo><mi arg='a2'>b</mi><mo>[</mo></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Interval_(mathematics)"
@@ -1857,7 +1857,7 @@ concepts:
       en: complementary nome of $1
       property: function
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='complementary-nome($a1)'><msub><mi>q</mi><mn>1</mn></msub><mrow><mo>(</mo><mi arg='a1'>k</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Nome.html"
@@ -1868,7 +1868,7 @@ concepts:
       en: complete graph
       property: symbol
       area: "graph theory"
-      comments:
+      mathml:
        - "<math><msub intent='complete-graph($a1)'><mi>K</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/CompleteGraph.html"
@@ -1881,7 +1881,7 @@ concepts:
       en: complex conjugate of $1
       property: msup
       area: "complex analysis"
-      comments:
+      mathml:
        - "<math><msup intent='complex-conjugate($a1)'><mi arg='a1'>X</mi><mo>*</mo></msup></math>"
       notationa: "mover $1 ¯"
       urls: 
@@ -1894,7 +1894,7 @@ concepts:
       en: complex projective space
       property: symbol
       area: "projective geometry"
-      comments:
+      mathml:
        - "<math><mi intent='complex-projective-space'>ℂ⁢</mi><mi>ℙ</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/ProjectiveSpace.html"
@@ -1908,7 +1908,7 @@ concepts:
       en: complexification of $1
       property: msup
       area: "complex manifolds"
-      comments:
+      mathml:
        - "<math><msup intent='complexification($a1)'><mi arg='a1'>X</mi><mi>ℂ</mi></msup></math>"
        - "<math><msup intent='complexification($a1)'><mi arg='a1'>X</mi><mi>C</mi></msup></math>"
       urls: 
@@ -1923,7 +1923,7 @@ concepts:
       en: $1 composition $2
       property: infix
       area: "algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='composition($a1,$a2)'><mi arg='a1'>X</mi><mo>∘</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Composition.html"
@@ -1939,7 +1939,7 @@ concepts:
       en: nominal rate
       property: msup
       area: "finance"
-      comments:
+      mathml:
        - "<math><msup intent='compound-interest($a1)'><mi>i</mi><mrow><mo>(</mo><mi arg='a1'>n</mi><mo>)</mo></mrow></msup></math>"
       urls: 
        - "https://mathworld.wolfram.com/CompoundInterest.html"
@@ -1950,7 +1950,7 @@ concepts:
       en: concentration of $1
       property: fenced
       area: "chemistry"
-      comments:
+      mathml:
        - "<math><mrow intent='concentration($a1)'><mo>[</mo><mi arg='a1'>x</mi><mo>]</mo></mrow></math>"
       urls: 
        - "https://chem.libretexts.org/Bookshelves/General_Chemistry/Map%3A_Chemistry_-_The_Central_Science_(Brown_et_al.)/04._Reactions_in_Aqueous_Solution/4.5%3A_Concentration_of_Solutions"
@@ -1960,7 +1960,7 @@ concepts:
       en: condition number of $1
       property: function
       area: "numerical analysis"
-      comments:
+      mathml:
        - "<math><mrow intent='condition-number($a1)'><mi>κ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Condition_number"
@@ -1972,7 +1972,7 @@ concepts:
       en: conditional expectation $1 $2
       property: mixfix
       area: "probability theory"
-      comments:
+      mathml:
        - "<math><mrow intent='conditional-expectation($a1,$a2)'><mi>E</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>|</mo><mi arg='a2'>y</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Conditional_expectation"
@@ -1983,7 +1983,7 @@ concepts:
       en: conditional probability $1 $2
       property: mixfix
       area: "probability theory"
-      comments:
+      mathml:
        - "<math><mrow intent='conditional-probability($a1,$a2)'><mi>P</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>|</mo><mi arg='a2'>y</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/ConditionalProbability.html"
@@ -1995,7 +1995,7 @@ concepts:
       en: conductor of $1
       property: function
       area: "algebraic number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='conductor($a1)'><mi>𝔣⁢</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Conductor_(class_field_theory)"
@@ -2005,7 +2005,7 @@ concepts:
       en: $1 contraction operator $2
       property: infix
       area: "algebraic geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='contraction-operator($a1,$a2)'><mi arg='a1'>X</mi><mo>⌟</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://arxiv.org/abs/1104.1240"
@@ -2015,7 +2015,7 @@ concepts:
       en: contrast function $1 $2
       property: mixfix
       area: "statistics"
-      comments:
+      mathml:
        - "<math><mrow intent='contrast-function($a1,$a2)'><mi>D</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>|</mo><mi arg='a2'>y</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Divergence_(statistics)"
@@ -2027,7 +2027,7 @@ concepts:
       en: "configuration $1 sub $2, $3 sub $4"
       property: mixfix
       area: "geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='configuration($a1,$a2,$a3,$a4)'><mo>(</mo><msub><mi arg='a1'>a</mi><mi arg='a2'>b</mi></msub><mo>,</mo><msub><mi arg='a3'>c</mi><mi arg='a4'>d</mi></msub><mo>)</mo></mrow></math>"     
       urls: 
        - "https://mathworld.wolfram.com/Configuration.html"
@@ -2039,7 +2039,7 @@ concepts:
       en: $1 congruence relation $2
       property: infix
       area: "algebra, geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='congruence-relation($a1,$a2)'><mi arg='a1'>x</mi><mo>≡</mo><mi arg='a2'>y</mi></mrow></math>"
        - "<math><mrow intent='congruence-relation($a1,$a2)'><mi arg='a1'>x</mi><mo>≅</mo><mi arg='a2'>y</mi></mrow></math>"
       urls: 
@@ -2059,7 +2059,7 @@ concepts:
       en: conjugacy class of $1
       property: function
       area: "group theory"
-      comments:
+      mathml:
        - "<math><mrow intent='conjugacy-class($a1)'><mi>Cl</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/ConjugacyClass.html"
@@ -2071,7 +2071,7 @@ concepts:
       en: conjugate transpose of $1
       property: msup
       area: "linear algebra"
-      comments:
+      mathml:
        - "<math><msup intent='conjugate-transpose($a1)'><mi arg='a1'>X</mi><mi>H</mi></msup></math>"
        - "<math><msup intent='conjugate-transpose($a1)'><mi arg='a1'>X</mi><mo>*</mo></msup></math>"
       urls: 
@@ -2083,7 +2083,7 @@ concepts:
       en: $1 connected sum $2
       property: infix
       area: "topology"
-      comments:
+      mathml:
        - "<math><mrow intent='connected-sum($a1,$a2)'><mi arg='a1'>X</mi><mo>#</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/ConnectedSum.html"
@@ -2095,7 +2095,7 @@ concepts:
       en: connectivity of $1
       property: function
       area: "graph theory"
-      comments:
+      mathml:
        - "<math><mrow intent='connectivity($a1)'><mi>κ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Connectivity.html"
@@ -2107,7 +2107,7 @@ concepts:
       en: constant of integration
       property: constant
       area: "calculus"
-      comments:
+      mathml:
        - "<math><mi intent='constant-of-integration'>C</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/ConstantofIntegration.html"
@@ -2118,7 +2118,7 @@ concepts:
       en: $1 containment $2
       property: infix
       area: "computer science"
-      comments:
+      mathml:
        - "<math><mrow intent='containment($a1,$a2)'><mi arg='a1'>X</mi><mo>≤</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Encompassment_ordering"
@@ -2132,7 +2132,7 @@ concepts:
       en: contingency table of $1
       property: mtable
       area: "statistics"
-      comments:
+      mathml:
        - "<math><mrow intent='contingency-table($a1)'><mtable arg='a1'><mtr><mtd><mtext>...</mtext></mtd></mtr><mtr><mtd><mtext>...</mtext></mtd></mtr></mtable></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/ContingencyTable.html"
@@ -2145,7 +2145,7 @@ concepts:
       en: continued fraction $1
       property: mixfix
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='periodic-continued-fraction($a1)'><msub><mi>a</mi><mn>0</mn></msub><mo>+</mo><mfrac arg='a1'><mn>1</mn><mrow><msub><mi>a</mi><mn>1</mn></msub><mo>+</mo><mo>⋱</mo></mrow></mfrac></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/ContinuedFraction.html"
@@ -2162,7 +2162,7 @@ concepts:
       en: continuum
       property: constant
       area: "set theory"
-      comments:
+      mathml:
        - "<math><mi intent='continuum'>𝔠</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/Continuum.html"
@@ -2178,7 +2178,7 @@ concepts:
       en: contradiction
       property: constant
       area: "logic"
-      comments:
+      mathml:
        - "<math><mo intent='contradiction'>⊥</mo></math>"
       urls: 
        - "https://mathworld.wolfram.com/Contradiction.html"
@@ -2190,7 +2190,7 @@ concepts:
       en: $1 converges
       property: postfix
       area: "computer science"
-      comments:
+      mathml:
        - "<math><mrow intent='converge($a1)'><mi arg='a1'>x</mi><mo>↓</mo></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Divergence_(computer_science)"
@@ -2202,7 +2202,7 @@ concepts:
       en: converse of $1
       property: msup
       area: "relational algebra"
-      comments:
+      mathml:
        - "<math><msup intent='converse($a1)'><mi arg='a1'>X</mi><mo>˘</mo></msup></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Relation_algebra"
@@ -2214,7 +2214,7 @@ concepts:
       en: converse graph of $1
       property: msup
       area: "graph theory"
-      comments:
+      mathml:
        - "<math><msup intent='converse-graph($a1)'><mi arg='a1'>X</mi><mo>'</mo></msup></math>"
        - "<math><msup intent='converse-graph($a1)'><mi arg='a1'>X</mi><mi>T</mi></msup></math>"
        - "<math><msup intent='converse-graph($a1)'><mi arg='a1'>X</mi><mi>R</mi></msup></math>"
@@ -2229,7 +2229,7 @@ concepts:
       en: $1 convolution $2
       property: infix
       area: "functional analysis"
-      comments:
+      mathml:
        - "<math><mrow intent='convolution($a1,$a2)'><mi arg='a1'>X</mi><mo>∗</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Convolution.html"
@@ -2244,7 +2244,7 @@ concepts:
       en: conway group
       property: symbol
       area: "group theory"
-      comments:
+      mathml:
        - "<math><msub intent='conway-group'><mi>Co</mi><mn>0</mn></msub></math>"
        - "<math><msub intent='conway-group'><mi>Co</mi><mn>1</mn></msub></math>"
        - "<math><msub intent='conway-group'><mi>Co</mi><mn>2</mn></msub></math>"
@@ -2261,7 +2261,7 @@ concepts:
       en: $1 coprime $2
       property: infix
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='coprime($a1,$a2)'><mi arg='a1'>X</mi><mo>⊥</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Coprime.html"
@@ -2275,7 +2275,7 @@ concepts:
       en: coproduct of $1 and $2
       property: indexed
       area: "topology, category theory"
-      comments:
+      mathml:
        - "<math><mrow intent='coproduct($a1,$a2)'><mi arg='a1'>X</mi><mo>⊔</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Coproduct.html"
@@ -2289,7 +2289,7 @@ concepts:
       en: correlation of $1
       property: function
       area: "statistics"
-      comments:
+      mathml:
        - "<math><mrow intent='correlation($a1)'><mi>corr</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Correlation_and_dependence"
@@ -2299,7 +2299,7 @@ concepts:
       en: correlation ratio
       property: symbol
       area: "statistics"
-      comments:
+      mathml:
        - "<math><mi intent='correlation-ratio'>η</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/CorrelationRatio.html"
@@ -2311,7 +2311,7 @@ concepts:
       en: cosine integral of $1
       property: operator
       area: "special-functions"
-      comments:
+      mathml:
        - "<math><mrow intent='cosine-integral($a1)'><mi>Ci</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/CosineIntegral.html"
@@ -2324,7 +2324,7 @@ concepts:
       en: coupling constant
       property: symbol
       area: "gauge theory"
-      comments:
+      mathml:
        - "<math><mi intent='coupling-constant'>g</mi></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Coupling_constant"
@@ -2337,7 +2337,7 @@ concepts:
       en: covariance of $1
       property: function
       area: "statistics"
-      comments:
+      mathml:
        - "<math><mrow intent='covariance($a1)'><mi>cov</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Covariance.html"
@@ -2351,7 +2351,7 @@ concepts:
       en: covariant derivative of $1
       property: "indexed operator"
       area: "differential geometry"
-      comments:
+      mathml:
        - "<math><msub intent='covariant-derivative($a1)'><mi>∇</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/CovariantDerivative.html"
@@ -2364,7 +2364,7 @@ concepts:
       en: covariation of $1 and $2 over $3
       property: indexed fenced
       area: "stochastic processes"
-      comments:
+      mathml:
        - "<math><mrow intent='covariation($a1,$a2,$a3)'><msub><mrow><mo>[</mo><mi arg='a1'>X</mi><mo>,</mo><mi arg='a2'>Y</mi><mo>]</mo></mrow><mi arg='a3'>t</mi></msub></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Quadratic_variation"
@@ -2376,7 +2376,7 @@ concepts:
       en: $1 covering relation $2
       property: infix
       area: "order theory"
-      comments:
+      mathml:
        - "<math><mrow intent='covering-relation($a1,$a2)'><mi arg='a1'>X</mi><mo>⋖</mo><mi arg='a2'>Y</mi></mrow></math>"
        - "<math><mrow intent='covering-relation($a1,$a2)'><mi arg='a1'>X</mi><mo>&lt;:</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
@@ -2388,7 +2388,7 @@ concepts:
       en: $1 cross product $2
       property: infix
       area: "linear algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='cross-product($a1,$a2)'><mi arg='a1'>X</mi><mo>×</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/CrossProduct.html"
@@ -2403,7 +2403,7 @@ concepts:
       en: "cross ratio of $1, $2, $3, $4"
       property: fenced
       area: "geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='cross-ratio($a1,$a2,$a3,$a4)'><mo>(</mo><mi arg='a1'>A</mi><mo>,</mo><mi arg='a2'>B</mi><mo>;</mo><mi arg='a3'>C</mi><mo>,</mo><mi arg='a4'>D</mi><mo>)</mo></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Cross-Ratio.html"
@@ -2416,7 +2416,7 @@ concepts:
       en: crossing number of $1
       property: function
       area: "graph theory"
-      comments:
+      mathml:
        - "<math><mrow intent='crossing-number($a1)'><mi>Cr</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Crossing_number_(graph_theory)"
@@ -2428,7 +2428,7 @@ concepts:
       en: $1<i>th</i> cullen number
       property: "indexed symbol"
       area: "number theory"
-      comments:
+      mathml:
        - "<math><msub intent='cullen-number($a1)'><mi>C</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/CullenNumber.html"
@@ -2439,7 +2439,7 @@ concepts:
       en: cumulant of $1
       property: "indexed symbol"
       area: "probability theory"
-      comments:
+      mathml:
        - "<math><msub intent='cumulant($a1)'><mi>κ</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/Cumulant.html"
@@ -2453,7 +2453,7 @@ concepts:
       en: cumulative distribution function of $1
       property: "indexed symbol"
       area: "probability theory"
-      comments:
+      mathml:
        - "<math><msub intent='cumulative-distribution-function($a1)'><mi>F</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/CumulativeDistributionFunction.html"
@@ -2467,7 +2467,7 @@ concepts:
       en: $1 cup product $2
       property: infix
       area: "algebraic topology"
-      comments:
+      mathml:
        - "<math><mrow intent='cup-product($a1,$a2)'><mi arg='a1'>X</mi><mo>⌣</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Cup_product"
@@ -2478,7 +2478,7 @@ concepts:
       en: curl of $1
       property: function
       area: "vector calculus"
-      comments:
+      mathml:
        - "<math><mrow intent='curl($a1)'><mi>curl</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='curl($a1)'><mi>rot</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
       notationa: "mrow ∇ × $1"
@@ -2493,7 +2493,7 @@ concepts:
       en: current of $1
       property: fenced
       area: "differential topology"
-      comments:
+      mathml:
        - "<math><mrow intent='current($a1)'><mo>[</mo><mi arg='a1'>M</mi><mo>]</mo></mrow></math>"
        - "<math><mrow intent='current($a1)'><mo>⟦</mo><mi arg='a1'>M</mi><mo>⟧</mo></mrow></math>"
       urls: 
@@ -2506,7 +2506,7 @@ concepts:
       en: curvature of $1
       property: function
       area: "differential geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='curvature($a1)'><mi>κ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Curvature.html"
@@ -2520,7 +2520,7 @@ concepts:
       en: cycle $1
       property: fenced
       area: "combinatorics"
-      comments:
+      mathml:
        - "<math><mrow intent='cycle($a1)'><mrow arg='a1'><mrow><mo>(</mo><mn>1</mn><mn>2</mn><mn>6</mn><mo>)</mo></mrow><mrow><mo>(</mo><mn>3</mn><mn>5</mn><mo>)</mo></mrow></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Permutation#Cycle_notation"
@@ -2532,7 +2532,7 @@ concepts:
       en: cycle gene
       property: symbol
       area: "genetics"
-      comments:
+      mathml:
        - "<math><mi intent='cycle-gene'>cyc</mi></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Cycle_(gene)"
@@ -2542,7 +2542,7 @@ concepts:
       en: cyclotomic field of $1
       property: embellished symbol
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='cyclotomic-field($a1)'><mi>𝐐</mi><mrow><mo>(</mo><msub><mi>ζ</mi><mi arg='a1'>n</mi></msub><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/CyclotomicField.html"
@@ -2555,7 +2555,7 @@ concepts:
       en: $1<i>th</i> cyclotomic polynomial
       property: "indexed symbol"
       area: "number theory"
-      comments:
+      mathml:
        - "<math><msub intent='cyclotomic-polynomial($a1)'><mi>Φ</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/CyclotomicPolynomial.html"
@@ -2567,7 +2567,7 @@ concepts:
       en: dalembert operator of $1
       property: prefix
       area: "partial differential equations"
-      comments:
+      mathml:
        - "<math><mrow intent='dalembert-operator($a1)'><mo>☐</mo><mi arg='a1'>x</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/D%27Alembert_operator"
@@ -2582,7 +2582,7 @@ concepts:
       en: davenport constant of $1
       property: function
       area: "group theory"
-      comments:
+      mathml:
        - "<math><mrow intent='davenport-constant($a1)'><mi>D</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/DavenportConstant.html"
@@ -2594,7 +2594,7 @@ concepts:
       en: dawson function of $1
       property: function
       area: "special-functions"
-      comments:
+      mathml:
        - "<math><mrow intent='dawson-function($a1)'><mi>F</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='dawson-function($a1)'><mi>D</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
       notationb: "mi sub D -"
@@ -2612,7 +2612,7 @@ concepts:
       en: decrease of $1
       property: postfix
       area: "physics"
-      comments:
+      mathml:
        - "<math><mrow intent='decrease($a1)'><mi arg='a1'>x</mi><mo>↓</mo></mrow></math>"
       urls: 
        - "https://youtu.be/HZ7a9YkF204?t=4705"
@@ -2622,7 +2622,7 @@ concepts:
       en: $1 decrease tends to $2
       property: infix
       area: "calculus"
-      comments:
+      mathml:
        - "<math><mrow intent='decrease-tends-to($a1,$a2)'><mi arg='a1'>X</mi><mo>↘</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://math.stackexchange.com/questions/1886232/what-does-this-notation-mean-limes-from-left-right"
@@ -2633,7 +2633,7 @@ concepts:
       en: dedekind eta function of $1
       property: function
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='dedekind-eta-function($a1)'><mi>η</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/DedekindEtaFunction.html"
@@ -2645,7 +2645,7 @@ concepts:
       en: dedekind zeta function of $1
       property: function
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='dedekind-zeta-function($a1)'><mi>ζ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Dedekind_zeta_function"
@@ -2655,7 +2655,7 @@ concepts:
       en: deductive closure of $1
       property: function
       area: "logic"
-      comments:
+      mathml:
        - "<math><mrow intent='deductive-closure($a1)'><mi>Ded</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='deductive-closure($a1)'><mi>Th</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
       urls: 
@@ -2666,7 +2666,7 @@ concepts:
       en: $1 defined as $2
       property: infix
       area: "general"
-      comments:
+      mathml:
        - "<math><mrow intent='defined-as($a1,$a2)'><mi arg='a1'>X</mi><mo>≜</mo><mi arg='a2'>Y</mi></mrow></math>"
        - "<math><mrow intent='defined-as($a1,$a2)'><mi arg='a1'>X</mi><mo>≝</mo><mi arg='a2'>Y</mi></mrow></math>"
        - "<math><mrow intent='defined-as($a1,$a2)'><mi arg='a1'>X</mi><mo>:=</mo><mi arg='a2'>Y</mi></mrow></math>"
@@ -2684,7 +2684,7 @@ concepts:
       en: degree of $1
       property: prefix, postfix
       area: "physics, geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='degree($a1)'><mi arg='a1'>x</mi><mo>°</mo></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Degree.html"
@@ -2698,7 +2698,7 @@ concepts:
       en: degree of graph of $1
       property: function
       area: "graph theory"
-      comments:
+      mathml:
        - "<math><mrow intent='degree-of-graph($a1)'><mi>deg</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Degree_(graph_theory)"
@@ -2711,7 +2711,7 @@ concepts:
       en: degree of freedom
       property: symbol
       area: "statistics"
-      comments:
+      mathml:
        - "<math><mi intent='degree-of-freedom'>ν</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/DegreeofFreedom.html"
@@ -2722,7 +2722,7 @@ concepts:
       en: degree of mapping of $1
       property: function
       area: "topology"
-      comments:
+      mathml:
        - "<math><mrow intent='degree-of-mapping($a1)'><mi>deg</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Degree_of_a_continuous_mapping"
@@ -2734,7 +2734,7 @@ concepts:
       en: degree of polynomial of $1
       property: function
       area: "polynomials"
-      comments:
+      mathml:
        - "<math><mrow intent='degree-of-polynomial($a1)'><mi>deg</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Degree_of_a_polynomial"
@@ -2746,7 +2746,7 @@ concepts:
       en: $1 dependence relation $2
       property: infix
       area: "linear algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='dependence-relation($a1,$a2)'><mi arg='a1'>X</mi><mo>◃</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Dependence_relation"
@@ -2756,7 +2756,7 @@ concepts:
       en: dereference of $1
       property: prefix
       area: "programming languages"
-      comments:
+      mathml:
        - "<math><mrow intent='dereference($a1)'><mo>!</mo><mi arg='a1'>x</mi></mrow></math>"
       urls: 
        - "https://arxiv.org/pdf/1208.5915.pdf"
@@ -2766,7 +2766,7 @@ concepts:
       en: derivation  $1, $2
       property: mfrac
       area: "logic"
-      comments:
+      mathml:
        - "<math><mfrac intent='derivation-tree($a1,$a2)'><mrow arg='a1'><mi>P</mi><mi>Q</mi></mrow><mi arg='a2'>R</mi></mfrac></math>"
       urls: 
        - "https://www.encyclopediaofmath.org/index.php/Derivation_tree"
@@ -2776,7 +2776,7 @@ concepts:
       en: derived category of $1
       property: function
       area: "category theory"
-      comments:
+      mathml:
        - "<math><mrow intent='derived-category($a1)'><mi>D</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Derived_category"
@@ -2788,7 +2788,7 @@ concepts:
       en: diagonal functor
       property: symbol
       area: "category theory"
-      comments:
+      mathml:
        - "<math><mi intent='diagonal-functor'>Δ</mi></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Diagonal_functor"
@@ -2799,7 +2799,7 @@ concepts:
       en: diagonal intersection of $1
       property: function
       area: "set theory"
-      comments:
+      mathml:
        - "<math><mrow intent='diagonal-intersection($a1)'><mi>Δ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Diagonal_intersection"
@@ -2809,7 +2809,7 @@ concepts:
       en: diagonal matrix of $1
       property: function
       area: "linear algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='diagonal-matrix($a1)'><mi>diag</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Diagonal_matrix"
@@ -2819,7 +2819,7 @@ concepts:
       en: diameter of $1
       property: symbol, prefix unit
       area: "geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='diameter($a1)'><mi>d</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='diameter($a1)'><mo>⌀</mo><mi arg='a1'>x</mi></mrow></math>"
       notationb: "mi DIA"
@@ -2832,7 +2832,7 @@ concepts:
       en: dickman function of $1
       property: function
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='dickman-function($a1)'><mi>ρ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/DickmanFunction.html"
@@ -2846,7 +2846,7 @@ concepts:
       en: different ideal of $1
       property: function
       area: "algebraic number theory"
-      comments:
+      mathml:
        - "<math><msub intent='different-ideal($a1)'><mi>δ</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Different_ideal"
@@ -2858,7 +2858,7 @@ concepts:
       en: differential entropy of $1
       property: function
       area: "information theory"
-      comments:
+      mathml:
        - "<math><mrow intent='differential-entropy($a1)'><mi>h</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/DifferentialEntropy.html"
@@ -2872,7 +2872,7 @@ concepts:
       en: differential operator with respect to $1
       property: prefix
       area: "calculus"
-      comments:
+      mathml:
        - "<math><msub intent='differential-operator($a1)'><mi>D</mi><mi arg='a1'>x</mi></msub></math>"
        - "<math><msub intent='differential-operator($a1)'><mo>∂</mo><mi arg='a1'>x</mi></msub></math>"
        - "<math><mfrac intent='differential-operator($a1)'><mi>d</mi><mrow><mi>d</mi><mi arg='a1'>x</mi></mrow></mfrac></math>"
@@ -2892,7 +2892,7 @@ concepts:
       en: digamma function
       property: symbol
       area: "special functions"
-      comments:
+      mathml:
        - "<math><msub intent='digamma-function'><mi>ψ</mi><mn>0</mn></msub></math>"
        - "<math><msup intent='digamma-function'><mi>ψ</mi><mrow><mo>(</mo><mn>0</mn><mo>)</mo></mrow></msup></math>"
        - "<math><mi intent='digamma-function'>F</mi></math>"
@@ -2905,7 +2905,7 @@ concepts:
       en: $1<i>th</i> dihedral group
       property: symbol
       area: "group theory"
-      comments:
+      mathml:
        - "<math><msub intent='dihedral-group'><mi>D</mi><mi arg='a1'>n</mi></msub></math>"
        - "<math><msub intent='dihedral-group'><mi>Dih</mi><mi arg='a1'>n</mi></msub></math>"
        - "<math><msub intent='dihedral-group'><mi>D</mi><mrow><mn>2</mn><mi arg='a1'>n</mi></mrow></msub></math>"
@@ -2918,7 +2918,7 @@ concepts:
       en: $1 dilation $2
       property: infix
       area: "mathematical morphology"
-      comments:
+      mathml:
        - "<math><mrow intent='dilation($a1,$a2)'><mi arg='a1'>X</mi><mo>⊕</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Dilation_(morphology)"
@@ -2928,7 +2928,7 @@ concepts:
       en: dilogarithm of $1
       property: function
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='dilogarithm($a1)'><msub><mi>L</mi><mn>2</mn></msub><mi arg='a1'>z</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Dilogarithm.html"
@@ -2944,7 +2944,7 @@ concepts:
       en: dimension of $1
       property: "function, fenced"
       area: "linear algebra, graph theory"
-      comments:
+      mathml:
        - "<math><mrow intent='dimension($a1)'><mi>dim</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='dimension($a1)'><mo>[</mo><mi arg='a1'>x</mi><mo>]</mo></mrow></math>"
       urls: 
@@ -2968,7 +2968,7 @@ concepts:
       en: dirac delta function of $1
       property: function
       area: "analysis"
-      comments:
+      mathml:
        - "<math><mrow intent='dirac-delta-function($a1)'><mi>δ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/DiracDeltaFunction.html"
@@ -2981,7 +2981,7 @@ concepts:
       en: dirac matrix
       property: constant
       area: "mathematical physics"
-      comments:
+      mathml:
        - "<math><msup intent='dirac-matrix'><mi>γ</mi><mn>0</mn></msup></math>"
        - "<math><msup intent='dirac-matrix'><mi>γ</mi><mn>1</mn></msup></math>"
        - "<math><msup intent='dirac-matrix'><mi>γ</mi><mn>2</mn></msup></math>"
@@ -2998,7 +2998,7 @@ concepts:
       en: dirac measure of $1
       property: function
       area: "measure theory"
-      comments:
+      mathml:
        - "<math><mrow intent='dirac-measure($a1)'><mi>δ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Dirac_measure"
@@ -3008,7 +3008,7 @@ concepts:
       en: dirac operator of $1
       property: function
       area: "differential operators"
-      comments:
+      mathml:
        - "<math><mrow intent='dirac-operator($a1)'><mi>D</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/DiracOperator.html"
@@ -3020,7 +3020,7 @@ concepts:
       en: direct limit of $1
       property: prefix
       area: "category theory"
-      comments:
+      mathml:
        - "<math><mrow intent='direct-limit($a1)'><munder><mi>lim</mi><mo>→</mo></munder><mi arg='a1'>A</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/DirectLimit.html"
@@ -3032,7 +3032,7 @@ concepts:
       en: $1 direct product $2
       property: infix
       area: "abstract algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='direct-product($a1,$a2)'><mi arg='a1'>X</mi><mo>×</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/DirectProduct.html"
@@ -3046,7 +3046,7 @@ concepts:
       en: $1 direct sum $2
       property: infix
       area: "abstract algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='direct-sum($a1,$a2)'><mi arg='a1'>X</mi><mo>⊕</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/DirectSum.html"
@@ -3063,7 +3063,7 @@ concepts:
       en: directional derivative of $1
       property: "function, mixfix"
       area: "differential calculus"
-      comments:
+      mathml:
        - "<math><msup intent='directional-derivative($a1)'><mi>∇</mi><mi>v</mi></msup><mi arg='a1'>f</mi></math>"
        - "<math><msup intent='directional-derivative($a1)'><mi>D</mi><mi>v</mi></msup><mi arg='a1'>f</mi></math>"
        - "<math><mrow intent='directional-derivative($a1)'><mi>v</mi><mo>⋅</mo><mi>∇</mi></mrow><mi arg='a1'>f</mi></math>"
@@ -3077,7 +3077,7 @@ concepts:
       en: dirichlet character of $1
       property: function
       area: "special-functions"
-      comments:
+      mathml:
        - "<math><mrow intent='dirichlet-character($a1)'><mi>χ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/DirichletCharacter.html"
@@ -3090,7 +3090,7 @@ concepts:
       en: $1 dirichlet convolution $2
       property: infix
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='dirichlet-convolution($a1,$a2)'><mi arg='a1'>X</mi><mo>∗</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Dirichlet_convolution"
@@ -3101,7 +3101,7 @@ concepts:
       en: dirichlet distribution
       property: symbol
       area: "statistics"
-      comments:
+      mathml:
        - "<math><mi intent='dirichlet-distribution'>Dir</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/DirichletDistribution.html"
@@ -3113,7 +3113,7 @@ concepts:
       en: dirichlet eta function of $1
       property: function
       area: "analytic number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='dirichlet-eta-function($a1)'><mi>η</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/DirichletEtaFunction.html"
@@ -3125,7 +3125,7 @@ concepts:
       en: dirichlet kernel of $1
       property: function
       area: "mathematical analysis"
-      comments:
+      mathml:
        - "<math><msup intent='dirichlet-kernel($a1)'><mi>D</mi><mi>n</mi></msup><mi arg='a1'>f</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/DirichletKernel.html"
@@ -3137,7 +3137,7 @@ concepts:
       en: dirichlet l function of $1
       property: function
       area: "special-functions"
-      comments:
+      mathml:
        - "<math><mrow intent='dirichlet-l-function($a1)'><mi>L</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/DirichletL-Function.html"
@@ -3150,7 +3150,7 @@ concepts:
       en: discrete valuation of $1
       property: function
       area: "commutative algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='discrete-valuation($a1)'><mi>ν</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Discrete_valuation"
@@ -3161,7 +3161,7 @@ concepts:
       en: discriminant of $1
       property: function
       area: "polynomials"
-      comments:
+      mathml:
        - "<math><mrow intent='discriminant($a1)'><mi>Disc</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='discriminant($a1)'><mi>D</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='discriminant($a1)'><mi>Δ</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
@@ -3176,7 +3176,7 @@ concepts:
       en: disjoint union of $1
       property: indexed
       area: "set theory"
-      comments:
+      mathml:
        - "<math><mrow intent='disjoint-union($a1)'><msub><mo>&#x2a06;</mo><mrow><mi>i</mi><mo>&#x2208;</mo><mi>A</mi></mrow></msub><msup><mi arg='a1'>A</mi><mi>i</mi></msup></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/DisjointUnion.html"
@@ -3190,7 +3190,7 @@ concepts:
       en: disjoint union of $1 and $2
       property: infix
       area: "set theory"
-      comments:
+      mathml:
        - "<math><mrow intent='disjoint-union($a1,$a2)'><mi arg='a1'>A</mi><msup><mi></mi><mo>*</mo></msup><mi arg='a2'>B</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/DisjointUnion.html"
@@ -3204,7 +3204,7 @@ concepts:
       en: distance
       property: fenced
       area: "geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='distance($a1,$a2)'><mo>|</mo><mi arg='a1'>X</mi><mo>&#x2009;</mo><mi arg='a2'>Y</mi><mo>|</mo></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Distance"
@@ -3214,7 +3214,7 @@ concepts:
       en: $1 diverges
       property: postfix
       area: "computer science"
-      comments:
+      mathml:
        - "<math><mrow intent='diverge($a1)'><mi arg='a1'>x</mi><mo>↑</mo></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Divergence_(computer_science)"
@@ -3226,7 +3226,7 @@ concepts:
       en: divergence of $1
       property: "function, mixfix"
       area: "vector calculus"
-      comments:
+      mathml:
        - "<math><mrow intent='divergence($a1)'><mi>div</mi><mi arg='a1'>f</mi></mrow></math>"
        - "<math><mrow intent='divergence($a1)'><mi>∇</mi><mo>⋅</mo><mi arg='a1'>f</mi></mrow></math>"
       urls: 
@@ -3242,7 +3242,7 @@ concepts:
       en: divided difference of $1 ..
       property: "fenced, mixfix"
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='divided-difference($a1)'><mo>[</mo><mi arg='a1'>x</mi><mo>,</mo><mi arg='a2'>y</mi><mo>,</mo><mi arg='a3'>z</mi><mo>]</mo></mrow></math>"
        - "<math><mrow intent='divided-difference($a1)'><mo>[</mo><mi arg='a1'>x</mi><mo>,</mo><mi arg='a2'>y</mi><mo>,</mo><mi arg='a3'>z</mi><mo>]</mo></mrow></math>"
        - "<math><mrow intent='divided-difference($a1)'><mi>f</mi><mo>[</mo><mi arg='a1'>x</mi><mo>,</mo><mi arg='a2'>y</mi><mo>,</mo><mi arg='a3'>z</mi><mo>]</mo></mrow></math>"
@@ -3257,7 +3257,7 @@ concepts:
       en: $1 divisible by $2
       property: infix
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='divisible-by($a1,$a2)'><mi arg='a1'>X</mi><mo>|</mo><mi arg='a2'>Y</mi></mrow></math>"
        - "<math><mrow intent='divisible-by($a1,$a2)'><mi arg='a2'>Y</mi><mo>⋮</mo><mi arg='a1'>X</mi></mrow></math>"
        - "<math><mrow intent='divisible-by($a1,$a2)'><mi arg='a2'>Y</mi><mo>/</mo><mi arg='a1'>X</mi></mrow></math>"
@@ -3275,7 +3275,7 @@ concepts:
       en: divisor function of $1
       property: indexed
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='divisor-function($a1)'><mi>σ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/DivisorFunction.html"
@@ -3290,7 +3290,7 @@ concepts:
       en: domain of $1
       property: function
       area: "set theory"
-      comments:
+      mathml:
        - "<math><mrow intent='domain($a1)'><mi>dom</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Domain_of_a_function"
@@ -3300,7 +3300,7 @@ concepts:
       en: domain of discourse
       property: symbol
       area: "formal semantics"
-      comments:
+      mathml:
        - "<math><mi intent='domain-of-discourse'>𝔻</mi></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Domain_of_discourse"
@@ -3312,7 +3312,7 @@ concepts:
       en: domination number of $1
       property: function
       area: "graph theory"
-      comments:
+      mathml:
        - "<math><mrow intent='domination-number($a1)'><mi>γ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/DominationNumber.html"
@@ -3327,7 +3327,7 @@ concepts:
       en: $1 dot product $2
       property: infix
       area: "linear algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='dot-product($a1,$a2)'><mi arg='a1'>X</mi><mo>⋅</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/DotProduct.html"
@@ -3340,7 +3340,7 @@ concepts:
       en: $1 double bond $2
       property: infix
       area: "chemistry"
-      comments:
+      mathml:
        - "<math><mrow intent='double-bond($a1,$a2)'><mi arg='a1'>X</mi><mo>=</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Double_bond"
@@ -3350,7 +3350,7 @@ concepts:
       en: $1 double category $2
       property: infix
       area: "category theory"
-      comments:
+      mathml:
        - "<math><mrow intent='double-category($a1,$a2)'><mi arg='a1'>X</mi><mo>⇉</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://ncatlab.org/nlab/show/double+category"
@@ -3360,7 +3360,7 @@ concepts:
       en: double factorial of $1
       property: postfix
       area: "combinatorics"
-      comments:
+      mathml:
        - "<math><mrow intent='double-factorial($a1)'><mn arg='a1'>10</mn><mo>&#x203c;</mo></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/DoubleFactorial.html"
@@ -3374,7 +3374,7 @@ concepts:
       en: double mersenne number
       property: symbol
       area: "number theory"
-      comments:
+      mathml:
        - "<math><msub intent='double-mersenne-number'><mi>M</mi><msub><mi>M</mi><mi>p</mi></msub></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/DoubleMersenneNumber.html"
@@ -3387,7 +3387,7 @@ concepts:
       en: drinfeld center of $1
       property: prefix
       area: "category theory"
-      comments:
+      mathml:
        - "<math><mrow intent='drinfeld-center($a1)'><mi>𝒵</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Center_(category_theory)"
@@ -3399,7 +3399,7 @@ concepts:
       en: dual basis of $1
       property: msup
       area: "linear algebra"
-      comments:
+      mathml:
        - "<math><msup intent='dual-basis($a1)'><mi arg='a1'>X</mi><mo>*</mo></msup></math>"
       urls: 
        - "https://mathworld.wolfram.com/DualBasis.html"
@@ -3415,7 +3415,7 @@ concepts:
       en: dual bundle of $1
       property: msup
       area: "vector bundles"
-      comments:
+      mathml:
        - "<math><msup intent='dual-bundle($a1)'><mi arg='a1'>X</mi><mo>*</mo></msup></math>"
       urls: 
        - "https://mathworld.wolfram.com/DualBundle.html"
@@ -3429,7 +3429,7 @@ concepts:
       en: dual space of $1
       property: msup
       area: "linear algebra"
-      comments:
+      mathml:
        - "<math><msup intent='dual-space($a1)'><mi arg='a1'>V</mi><mo>*</mo></msup></math>"
        - "<math><msup intent='dual-space($a1)'><mi arg='a1'>V</mi><mo>&#x2032;</mo></msup></math>"
       urls: 
@@ -3444,7 +3444,7 @@ concepts:
       en: duodecimal of $1
       property: unit
       area: "arithmetic"
-      comments:
+      mathml:
        - "<math><msub intent='duodecimal($a1)'><mi arg='a1'>n</mi><mi>z</mi></msub></math>"
        - "<math><msub intent='duodecimal($a1)'><mi arg='a1'>n</mi><mn>12</mn></msub></math>"
        - "<math><msub intent='duodecimal($a1)'><mi arg='a1'>n</mi><mi>doz</mi></msub></math>"
@@ -3460,7 +3460,7 @@ concepts:
       en: e function of $1
       property: function
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='e-function($a1)'><mi>E</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/E-Function.html"
@@ -3473,7 +3473,7 @@ concepts:
       en: eccentricity
       property: symbol
       area: "analytic geometry, graph theory"
-      comments:
+      mathml:
        - "<math><mi intent='eccentricity'>e</mi></math>"
        - "<math><mi intent='eccentricity'>ϵ</mi></math>"
       urls: 
@@ -3486,7 +3486,7 @@ concepts:
       en: edge cover number of $1
       property: function
       area: "graph theory"
-      comments:
+      mathml:
        - "<math><mrow intent='edge-cover-number($a1)'><mi>ρ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/EdgeCoverNumber.html"
@@ -3497,7 +3497,7 @@ concepts:
       en: effective domain of $1
       property: function
       area: "convex analysis"
-      comments:
+      mathml:
        - "<math><mrow intent='effective-domain($a1)'><mi>dom</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Effective_domain"
@@ -3507,7 +3507,7 @@ concepts:
       en: efficiency of $1
       property: function
       area: "statistics"
-      comments:
+      mathml:
        - "<math><mrow intent='efficiency($a1)'><mi>e</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Antenna_efficiency"
@@ -3519,7 +3519,7 @@ concepts:
       en: einstein tensor
       property: symbol
       area: "general relativity"
-      comments:
+      mathml:
        - "<math><mi intent='einstein-tensor'>G</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/EinsteinTensor.html"
@@ -3531,7 +3531,7 @@ concepts:
       en: elliptic function of $1
       property: function
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='elliptic-function($a1)'><mi>cn</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='elliptic-function($a1)'><mi>sn</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='elliptic-function($a1)'><mi>dn</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
@@ -3547,7 +3547,7 @@ concepts:
       en: end
       property: symbol
       area: "category theory"
-      comments:
+      mathml:
        - "<math><mi intent='end'>e</mi></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/End_(category_theory)"
@@ -3558,7 +3558,7 @@ concepts:
       en: endomorphism monoid of $1
       property: function
       area: "category theory"
-      comments:
+      mathml:
        - "<math><mrow intent='endomorphism-monoid($a1)'><mi>End</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Endomorphism.html"
@@ -3571,7 +3571,7 @@ concepts:
       en: energy
       property: symbol
       area: "physics"
-      comments:
+      mathml:
        - "<math><mi intent='energy'>E</mi></math>"
       urls: 
        - "https://ncatlab.org/nlab/show/energy"
@@ -3581,7 +3581,7 @@ concepts:
       en: energy of signal
       property: symbol
       area: "signal processing"
-      comments:
+      mathml:
        - "<math><msub intent='energy-of-signal'><mi>E</mi><mi>s</mi></msub></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Energy_(signal_processing)"
@@ -3592,7 +3592,7 @@ concepts:
       en: entropy of $1
       property: unit
       area: "physics"
-      comments:
+      mathml:
        - "<math><mrow intent='entropy($a1)'><mi>S</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Entropy"
@@ -3606,7 +3606,7 @@ concepts:
       en: epigraph of $1
       property: function
       area: "analysis"
-      comments:
+      mathml:
        - "<math><mrow intent='epigraph($a1)'><mi>epi</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Epigraph_(mathematics)"
@@ -3616,7 +3616,7 @@ concepts:
       en: epsilon number
       property: symbol
       area: "ordinal numbers"
-      comments:
+      mathml:
        - "<math><mi intent='epsilon-number'>ε</mi></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Epsilon_numbers_(mathematics)"
@@ -3626,7 +3626,7 @@ concepts:
       en: equalizer of $1
       property: function
       area: "set theory"
-      comments:
+      mathml:
        - "<math><mrow intent='equalizer($a1)'><mi>Eq</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Equalizer.html"
@@ -3641,7 +3641,7 @@ concepts:
       en: equivalence class of $1
       property: fenced
       area: "set theory"
-      comments:
+      mathml:
        - "<math><mrow intent='equivalence-class($a1)'><mo>[</mo><mi arg='a1'>X</mi><mo>]</mo></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/EquivalenceClass.html"
@@ -3655,7 +3655,7 @@ concepts:
       en: $1 equivalence relation $2
       property: infix
       area: "set theory"
-      comments:
+      mathml:
        - "<math><mrow intent='equivalence-relation($a1,$a2)'><mi arg='a1'>X</mi><mo>~</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/EquivalenceRelation.html"
@@ -3670,7 +3670,7 @@ concepts:
       en: equivariant cohomology $1 $2
       property: function
       area: "algebraic topology"
-      comments:
+      mathml:
        - "<math><mrow intent='equivariant-cohomology($a1,$a2)'><msubsup><mi>H</mi><mi>G</mi><mo>*</mo></msubsup><mrow><mo>(</mo><mi arg='a1'>X</mi><mo>;</mo><mo arg='a2'>&#x039b;</mo><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Equivariant_cohomology"
@@ -3682,7 +3682,7 @@ concepts:
       en: erdos borwein constant
       property: symbol
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mi intent='erdos-borwein-constant'>E</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/Erdos-BorweinConstant.html"
@@ -3693,7 +3693,7 @@ concepts:
       en: error function of $1
       property: function
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='error-function($a1)'><mi>erf</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='error-function($a1)'><mi>erfc</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='error-function($a1)'><mi>w</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
@@ -3708,7 +3708,7 @@ concepts:
       en: $1 essential extension $2
       property: infix
       area: "abstract algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='essential-extension($a1,$a2)'><mi arg='a1'>X</mi><msub><mo>⊆</mo><mi>e</mi></msub><mi arg='a2'>Y</mi></mrow></math>"
        - "<math><mrow intent='essential-extension($a1,$a2)'><mi arg='a1'>X</mi><mo>⊴</mo><mi arg='a2'>Y</mi></mrow></math>"
        - "<math><mrow intent='essential-extension($a1,$a2)'><mi arg='a1'>X</mi><mo>⊂</mo><mi arg='a2'>Y</mi></mrow></math>"
@@ -3723,7 +3723,7 @@ concepts:
       en: essential infimum of $1
       property: function
       area: "measure theory"
-      comments:
+      mathml:
        - "<math><mrow intent='essential-infimum($a1)'><mi>ess inf</mi><mi arg='a1'>x</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/essentialsupremum.html"
@@ -3735,7 +3735,7 @@ concepts:
       en: essential supremum of $1
       property: function
       area: "measure theory"
-      comments:
+      mathml:
        - "<math><mrow intent='essential-supremum($a1)'><mi>ess sup</mi><mi arg='a1'>x</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/EssentialSupremum.html"
@@ -3747,7 +3747,7 @@ concepts:
       en: estimated
       property: symbol
       area: "symbols"
-      comments:
+      mathml:
        - "<math><mi intent='estimated'>℮</mi></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Estimation"
@@ -3760,7 +3760,7 @@ concepts:
       en: etale cohomology of $1
       property: function
       area: "algebraic topology"
-      comments:
+      mathml:
        - "<math><mrow intent='etale-cohomology($a1)'><msubsup><mi>H</mi><mi>et</mi><mo>*</mo></msubsup><mrow><mo>(</mo><mi arg='a1'>X</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/%C3%89tale_cohomology"
@@ -3772,7 +3772,7 @@ concepts:
       en: euclid number $1
       property: symbol
       area: "number theory"
-      comments:
+      mathml:
        - "<math><msub intent='euclid-number($a1)'><mi>E</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/EuclidNumber.html"
@@ -3783,7 +3783,7 @@ concepts:
       en: euclidean distance of $1
       property: function
       area: "geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='euclidean-distance($a1)'><mi>d</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><msub intent='euclidean-distance($a1)'><mi>d</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
@@ -3796,7 +3796,7 @@ concepts:
       en: euclidean plane
       property: symbol
       area: "geometry"
-      comments:
+      mathml:
        - "<math><msup intent='euclidean-plane'><mi>ℝ</mi><mn>2</mn></msup></math>"
       urls: 
        - "https://mathworld.wolfram.com/EuclideanPlane.html"
@@ -3808,7 +3808,7 @@ concepts:
       en: euler characteristic of $1
       property: function
       area: "algebraic topology"
-      comments:
+      mathml:
        - "<math><mrow intent='euler-characteristic($a1)'><mi>χ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/EulerCharacteristic.html"
@@ -3821,7 +3821,7 @@ concepts:
       en: euler class of $1
       property: function
       area: "algebraic topology"
-      comments:
+      mathml:
        - "<math><mrow intent='euler-class($a1)'><mi>e</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Euler_class"
@@ -3833,7 +3833,7 @@ concepts:
       en: euler constant
       property: symbol
       area: "analysis"
-      comments:
+      mathml:
        - "<math><mi intent='euler-constant'>γ</mi></math>"
        - "<math><mi intent='euler-constant'>𝛾</mi></math>"
       urls: 
@@ -3850,7 +3850,7 @@ concepts:
       en: euler number
       property: symbol
       area: "physics"
-      comments:
+      mathml:
        - "<math><mi intent='euler-number'>Eu</mi></math>"
        - "<math><mi intent='euler-number'>e</mi></math>"
        - "<math><mi intent='euler-number'>𝑒</mi></math>"
@@ -3870,7 +3870,7 @@ concepts:
       en: euler polynomial of $1
       property: function
       area: "special-functions"
-      comments:
+      mathml:
        - "<math><msub intent='euler-polynomial($a1)'><mi>E</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/EulerPolynomial.html"
@@ -3883,7 +3883,7 @@ concepts:
       en: euler totient function of $1
       property: function
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='euler-totient-function($a1)'><mi>φ</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='euler-totient-function($a1)'><mi>ϕ</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
       urls: 
@@ -3897,7 +3897,7 @@ concepts:
       en: euler mascheroni constant
       property: constant
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mi intent='euler-mascheroni-constant'>γ</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/Euler-MascheroniConstant.html"
@@ -3909,7 +3909,7 @@ concepts:
       en: eulerian number of $1
       property: function
       area: "combinatorics"
-      comments:
+      mathml:
        - "<math><mrow intent='eulerian-number($a1)'><mi>A</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/EulerianNumber.html"
@@ -3921,7 +3921,7 @@ concepts:
       en: $1 exclusive or $2
       property: infix
       area: "logic"
-      comments:
+      mathml:
        - "<math><mrow intent='exclusive-or($a1,$a2)'><mi arg='a1'>X</mi><mo>⊻</mo><mi arg='a2'>Y</mi></mrow></math>"
        - "<math><mrow intent='exclusive-or($a1,$a2)'><mi arg='a1'>X</mi><mo>⊕</mo><mi arg='a2'>Y</mi></mrow></math>"
        - "<math><mrow intent='exclusive-or($a1,$a2)'><mi arg='a1'>X</mi><mo>↮</mo><mi arg='a2'>Y</mi></mrow></math>"
@@ -3941,7 +3941,7 @@ concepts:
       en: expectation value of $1
       property: fenced
       area: "quantum physics"
-      comments:
+      mathml:
        - "<math><mrow intent='expectation-value($a1)'><mo>⟨</mo><mi arg='a1'>X</mi><mo>⟩</mo></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/ExpectationValue.html"
@@ -3953,7 +3953,7 @@ concepts:
       en: expected value of $1
       property: function
       area: "probability theory"
-      comments:
+      mathml:
        - "<math><mrow intent='expected-value($a1)'><mi>E</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='expected-value($a1)'><mi>M</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><msub intent='expected-value($a1)'><mi>μ</mi><mi arg='a1'>x</mi></msub></math>"
@@ -3971,7 +3971,7 @@ concepts:
       en: exponential factorial of $1
       property: postfix
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='exponential-factorial($a1)'><mi arg='a1'>x</mi><mo>$</mo></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/ExponentialFactorial.html"
@@ -3982,7 +3982,7 @@ concepts:
       en: exponential integral of $1
       property: 
       area: 
-      comments:
+      mathml:
        - "<math><mrow intent='exponential-integral($a1)'><mi>Ei</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/ExponentialIntegral.html"
@@ -3998,7 +3998,7 @@ concepts:
       en: exterior of $1
       property: "function, msup"
       area: "topology"
-      comments:
+      mathml:
        - "<math><mrow intent='exterior($a1)'><mi>ext</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><msup intent='exterior($a1)'><mi arg='a1'>X</mi><mi>e</mi></msup></math>"
       urls: 
@@ -4010,7 +4010,7 @@ concepts:
       en: exterior derivative of $1
       property: operator
       area: "differential forms"
-      comments:
+      mathml:
        - "<math><mrow intent='exterior-derivative($a1)'><mi>d</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/ExteriorDerivative.html"
@@ -4021,7 +4021,7 @@ concepts:
       en: exterior algebra of $1
       property: function
       area: "multilinear algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='exterior-algebra($a1)'><mi>Λ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Exterior_algebra"
@@ -4031,7 +4031,7 @@ concepts:
       en: $1 exterior product $2
       property: infix
       area: "multilinear algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='exterior-product($a1,$a2)'><mi arg='a1'>X</mi><mo>∧</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/ExteriorProduct.html"
@@ -4044,7 +4044,7 @@ concepts:
       en: f distribution of $1
       property: "indexed symbol"
       area: "probability theory"
-      comments:
+      mathml:
        - "<math><msub intent='f-distribution($a1)'><mi>F</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/F-Distribution.html"
@@ -4055,7 +4055,7 @@ concepts:
       en: $1<i>th</i> faber polynomial
       property: function
       area: "polynomials"
-      comments:
+      mathml:
        - "<math><msub intent='faber-polynomial($a1)'><mi mathvariant='normal'>P</mi><mi arg='a1'>n</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/FaberPolynomial.html"
@@ -4067,7 +4067,7 @@ concepts:
       en: falling factorial $1 $2
       property: mixfix
       area: "combinatorics"
-      comments:
+      mathml:
         - "<math><msub intent='falling-factorial($a1,$a2)'><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow><mi arg='a2'>n</mi></msub></math>"
         - "<math><msup intent='falling-factorial($a1,$a2)'><mi arg='a1'>x</mi><munder><mi arg='a2'>n</mi><mo>_</mo></munder></msup></math>"
       urls: 
@@ -4085,7 +4085,7 @@ concepts:
       en: fatou set of $1
       property: function
       area: "complex dynamics"
-      comments:
+      mathml:
        - "<math><mrow intent='fatou-set($a1)'><mi>F</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Julia_set"
@@ -4095,7 +4095,7 @@ concepts:
       en: farey sequence
       property: symbol
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mi intent='farey-sequence'>F</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/FareySequence.html"
@@ -4106,7 +4106,7 @@ concepts:
       en: feferman schutte ordinal
       property: symbol
       area: "ordinal numbers"
-      comments:
+      mathml:
        - "<math><msub intent='feferman-schutte-ordinal'><mi>Γ</mi><mn>0</mn></msub></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Feferman%E2%80%93Sch%C3%BCtte_ordinal"
@@ -4116,7 +4116,7 @@ concepts:
       en: feigenbaum constant
       property: symbol
       area: "chaos theory"
-      comments:
+      mathml:
        - "<math><mi intent='feigenbaum-constant'>δ</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/FeigenbaumConstant.html"
@@ -4127,7 +4127,7 @@ concepts:
       en: $1<i>th</i> fermat number
       property: "indexed symbol"
       area: "number theory"
-      comments:
+      mathml:
        - "<math><msub intent='fermat-number($a1)'><mi>F</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/FermatNumber.html"
@@ -4138,7 +4138,7 @@ concepts:
       en: fermat quotient of $1
       property: function
       area: "number theory"
-      comments:
+      mathml:
        - "<math><msub intent='fermat-quotient($a1)'><mi>q</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/FermatQuotient.html"
@@ -4149,7 +4149,7 @@ concepts:
       en: fermi dirac distribution of $1
       property: function
       area: "quantum statistics"
-      comments:
+      mathml:
        - "<math><msub intent='fermi-dirac-distribution($a1)'><mover><mi>n</mi><mo>¯</mo></mover><mi arg='a1'>n</mi></msub></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Fermi%E2%80%93Dirac_distribution"
@@ -4161,7 +4161,7 @@ concepts:
       en: feynman slash of $1
       property: menclose
       area: "quantum field theory"
-      comments:
+      mathml:
        - "<math><menclose  notation='updiagonalstrike' intent='feynman-slash($a1)'><mi arg='a1'>A</mi></menclose></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Feynman_slash_notation"
@@ -4171,7 +4171,7 @@ concepts:
       en: $1<i>th</i> fibonacci number
       property: "indexed symbol"
       area: "number theory"
-      comments:
+      mathml:
        - "<math><msub intent='fibonacci-number($a1)'><mi>F</mi><mi arg='a1'>n</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/FibonacciNumber.html"
@@ -4185,7 +4185,7 @@ concepts:
       en: fibonacci polynomial of $1
       property: "indexed function"
       area: "polynomials"
-      comments:
+      mathml:
        - "<math><msub intent='fibonacci-polynomial($a1)'><mi>F</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/FibonacciPolynomial.html"
@@ -4197,7 +4197,7 @@ concepts:
       en: fibre product of $1
       property: indexed infix
       area: "category theory"
-      comments:
+      mathml:
        - "<math><msub intent='fibre-product($a1)'><mi>×</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Pullback_(category_theory)"
@@ -4212,7 +4212,7 @@ concepts:
       en: $1 field extension $2
       property: infix
       area: "algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='field-extension($a1,$a2)'><mi arg='a1'>X</mi><mo>/</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/FieldExtension.html"
@@ -4225,7 +4225,7 @@ concepts:
       en: field of sets
       property: fenced
       area: "boolean algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='field-of-sets($a1,$a2)'><mo>(</mo><mi arg='a1'>X</mi><mo>,</mo><mi arg='a2'>F</mi><mo>)</mo></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Field_of_sets"
@@ -4236,7 +4236,7 @@ concepts:
       en: first isogonic center
       property: symbol
       area: "geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='first-isogonic-center'><mi mathvariant='normal'>X</mi><mo>(</mo><mn>13</mn><mo>)</mo></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Fermat_point"
@@ -4246,7 +4246,7 @@ concepts:
       en: fisher information of $1
       property: function
       area: "statistics"
-      comments:
+      mathml:
        - "<math><mrow intent='fisher-information($a1)'><mi>I</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/FisherInformation.html"
@@ -4259,7 +4259,7 @@ concepts:
       en: flattening
       property: symbol
       area: "celestial mechanics"
-      comments:
+      mathml:
        - "<math><mi intent='flattening'>f</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/Flattening.html"
@@ -4273,7 +4273,7 @@ concepts:
       en: floor of $1
       property: fenced, function
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='floor($a1)'><mo>⌊</mo><mi arg='a1'>X</mi><mo>⌋</mo></mrow></math>"
        - "<math><mrow intent='floor($a1)'><mo>&#x27e6;</mo><mi arg='a1'>X</mi><mo>&#x27e7;</mo></mrow></math>"
        - "<math><mrow intent='floor($a1)'><mo>[</mo><mi arg='a1'>X</mi><mo>]</mo></mrow></math>"
@@ -4288,7 +4288,7 @@ concepts:
       en: fock space of $1
       property: function
       area: "quantum mechanics"
-      comments:
+      mathml:
        - "<math><mrow intent='fock-space($a1)'><mi>F</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Fock_space"
@@ -4300,7 +4300,7 @@ concepts:
       en: $1<i>th</i> forward difference of $3 over $2
       property: operator
       area: "numerical analysis"
-      comments:
+      mathml:
        - "<math><mrow intent='forward-difference($a1,$a2,$a3)'><msubsup><mi>&#x0394;</mi><mi arg='a2'>x</mi><mi arg='a1'>n</mi></msubsup><mrow><mi arg='a3'>f</mi><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/ForwardDifference.html)"
@@ -4311,7 +4311,7 @@ concepts:
       en: fourier cosine transform of $1
       property: operator
       area: "functional analysis"
-      comments:
+      mathml:
        - "<math><mrow intent='fourier-cosine-transform($a1)'><msub><mi>ℱ</mi><mi arg='a3'>c</mi></msub><mi arg='a1'>f</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/FourierCosineTransform.html"
@@ -4323,7 +4323,7 @@ concepts:
       en: fourier sine transform of $1
       property: operator
       area: "functional analysis"
-      comments:
+      mathml:
        - "<math><mrow intent='fourier-sine-transform($a1)'><msub><mi>ℱ</mi><mi>s</mi></msub><mi arg='a1'>f</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/FourierSineTransform.html"
@@ -4335,7 +4335,7 @@ concepts:
       en: fourier transform of $1
       property: mover
       area: "fourier analysis"
-      comments:
+      mathml:
        - "<math><mover intent='fourier-transform($a1)'><mi arg='a1'>f</mi><mo>^</mo></mover></math>"
       urls: 
        - "https://mathworld.wolfram.com/FourierTransform.html"
@@ -4350,7 +4350,7 @@ concepts:
       en: fox derivative of $1
       property: mfrac
       area: "geometric topology"
-      comments:
+      mathml:
       - "<math><mfrac intent='fox-derivative(($a1)'><mi>∂</mi><mrow><mi>∂</mi><msub arg='a1'><mi>g</mi><mi>i</mi></msub></mrow></mfrac></math>"
       urls: 
        - "https://mathworld.wolfram.com/FoxDerivative.html"
@@ -4362,7 +4362,7 @@ concepts:
       en: fox wright function  $1 $2
       property: mmultiscripts
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mmultiscripts intent='fox-wright-function($a1,$a2)'><mi>Ψ</mi><mi arg='a2'>q</mi><mrow/><mprescripts/><mi arg='a1'>p</mi><mrow/></mmultiscripts></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Fox%E2%80%93Wright_function"
@@ -4374,7 +4374,7 @@ concepts:
       en: fractional derivative of $1
       property: operator
       area: "fractional caclulus"
-      comments:
+      mathml:
        - "<math><msup intent='fractional-derivative($a1)'><mi>D</mi><mi arg='a1'>f</mi></msup></math>"
       urls: 
        - "https://mathworld.wolfram.com/FractionalDerivative.html"
@@ -4385,7 +4385,7 @@ concepts:
       en: fractional integral of $1
       property: operator
       area: "fractional caclulus"
-      comments:
+      mathml:
        - "<math><msup intent='fractional-integral($a1)'><mi>I</mi><mi arg='a1'>f</mi></msup></math>"
       urls: 
        - "https://mathworld.wolfram.com/FractionalIntegral.html"
@@ -4397,7 +4397,7 @@ concepts:
       en: fractional part of $1
       property: "function, fenced"
       area: "arithmetic"
-      comments:
+      mathml:
        - "<math><mrow intent='fractional-part($a1)'><mi>frac</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='fractional-part($a1)'><mo>&#x27e6;</mo><mi arg='a1'>x</mi><mo>&#x27e7;</mo></mrow></math>"
        - "<math><mrow intent='fractional-part($a1)'><mo>{</mo><mi arg='a1'>x</mi><mo>}</mo></mrow></math>"
@@ -4414,7 +4414,7 @@ concepts:
       en: $1<i>th</i> franel number
       property: "indexed symbol"
       area: "combinatorics"
-      comments:
+      mathml:
        - "<math><mrow intent='franel-number($a1)'><mi>Fr</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/FranelNumber.html"
@@ -4424,7 +4424,7 @@ concepts:
       en: frattini subgroup of $1
       property: function
       area: "group theory"
-      comments:
+      mathml:
        - "<math><mrow intent='frattini-subgroup($a1)'><mi>φ</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='frattini-subgroup($a1)'><mi>ϕ</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
       urls: 
@@ -4437,7 +4437,7 @@ concepts:
       en: frechet derivative of $1
       property: operator
       area: "banach spaces"
-      comments:
+      mathml:
        - "<math><mrow intent='frechet-derivative($a1)'><mi>D</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/FrechetDerivative.html"
@@ -4450,7 +4450,7 @@ concepts:
       en: frechet topology
       property: constant
       area: "topology"
-      comments:
+      mathml:
        - "<math><msub intent='frechet-topology'><mi>T</mi><mn>1</mn></msub></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Separation_axiom#Main_definitions"
@@ -4463,7 +4463,7 @@ concepts:
       en: fredholm determinant of $1
       property: function
       area: "mathematical physics"
-      comments:
+      mathml:
        - "<math><mrow intent='fredholm-determinant($a1)'><mi>det</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Fredholm_determinant"
@@ -4475,7 +4475,7 @@ concepts:
       en: free algebra $1 $2
       property: mixfix
       area: "ring theory"
-      comments:
+      mathml:
        - "<math><mrow intent='free-algebra($a1,$a2)'><mi arg='a1'>R</mi><mo>⟨</mo><mi arg='a2'>X</mi><mo>⟩</mo></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/FreeAlgebra.html"
@@ -4487,7 +4487,7 @@ concepts:
       en: $1 free module on $2
       property: mixfix, msup
       area: "module theory"
-      comments:
+      mathml:
        - "<math><mrow intent='free-module($a1,$a2)'><mi arg='a1'>R</mi><mrow><mo>{</mo><mi arg='a2'>E</mi><mo>}</mo></mrow></mrow></math>"
        - "<math><msup intent='free-module($a1,$a2)'><mi arg='a1'>R</mi><mrow><mo>(</mo><mi arg='a2'>E</mi><mo>)</mo></mrow></msup></math>"
       urls: 
@@ -4501,7 +4501,7 @@ concepts:
       en: free monoid of $1
       property: msup
       area: "abstract algebra"
-      comments:
+      mathml:
        - "<math><msup intent='free-monoid($a1)'><mi arg='a1'>X</mi><mo>*</mo></msup></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Free_monoid"
@@ -4513,7 +4513,7 @@ concepts:
       en: $1 free product $2
       property: infix
       area: "group theory"
-      comments:
+      mathml:
        - "<math><mrow intent='free-product($a1,$a2)'><mi arg='a1'>X</mi><mo>*</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/FreeProduct.html"
@@ -4525,7 +4525,7 @@ concepts:
       en: fresnel integral of $1
       property: operator
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='fresnel-integral($a1)'><mi>ℱ</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='fresnel-integral($a1)'><mi>C</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='fresnel-integral($a1)'><mi>S</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
@@ -4543,7 +4543,7 @@ concepts:
       en: frobenius norm of $1
       property: indexed fenced
       area: "linear algebra"
-      comments:
+      mathml:
        - "<math><msub intent='frobenius-norm($a1)'><mrow><mo>‖</mo><mi arg='a1'>A</mi><mo>‖</mo></mrow><mi>F</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/FrobeniusNorm.html"
@@ -4557,7 +4557,7 @@ concepts:
       en: frolicher nijenhuis bracket
       property: fenced
       area: "differntial geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='frolicher-nijenhuis-bracket($a1,$a2)'><mo>[</mo><mi arg='a1'>a</mi><mo>,</mo><mi arg='a2'>b</mi><mo>]</mo></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Fr%C3%B6licher%E2%80%93Nijenhuis_bracket"
@@ -4568,7 +4568,7 @@ concepts:
       en: functional congruence of $1 and $2 mod $3
       property: mixfix
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='functional-congruence($a1,$a2,$a3)'><mi arg='a1'>f</mi><mo>≡</mo><mi arg='a2'>g</mi></mrow><mrow><mo>(</mo><mi>mod</mi><mi arg='a3'>n</mi><mo>)</mo></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/FunctionalCongruence.html"
@@ -4580,7 +4580,7 @@ concepts:
       en: functor category
       property: msup, fenced
       area: "category theory"
-      comments:
+      mathml:
        - "<math><msup intent='functor-category($a1,$a2)'><mi arg='a1'>f</mi><mi arg='a2'>g</mi></msup></math>"
        - "<math><mrow intent='functor-category($a1,$a2)'><mo>[</mo><mi arg='a1'>f</mi><mo>,</mo><mi arg='a2'>g</mi><mo>]</mo></mrow></math>"
       urls: 
@@ -4592,7 +4592,7 @@ concepts:
       en: fundamental matrix
       property: symbol
       area: "computer vision"
-      comments:
+      mathml:
        - "<math><mi intent='fundamental-matrix'>F</mi></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Fundamental_matrix_(computer_vision)"
@@ -4602,7 +4602,7 @@ concepts:
       en: g function of $1
       property: "indexed function"
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='g-function($a1)'><mi>G</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/G-Function.html"
@@ -4615,7 +4615,7 @@ concepts:
       en: gabor transform of $1
       property: operator
       area: "integral transforms"
-      comments:
+      mathml:
        - "<math><mrow intent='gabor-transform($a1)'><mi>G</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Gabor_transform"
@@ -4627,7 +4627,7 @@ concepts:
       en: gain function of $1
       property: function
       area: "graph theory"
-      comments:
+      mathml:
        - "<math><mrow intent='gain-function($a1)'><mi>φ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Gain_graph"
@@ -4639,7 +4639,7 @@ concepts:
       en: galilean transformation of $1
       property: function
       area: "physics"
-      comments:
+      mathml:
        - "<math><mrow intent='galilean-transformation($a1)'><mi>G</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/GalileanTransformation.html"
@@ -4651,7 +4651,7 @@ concepts:
       en: galois field of $1
       property: function
       area: "finite fields"
-      comments:
+      mathml:
        - "<math><mrow intent='galois-field($a1)'><mi>GF</mi><mrow><mo>(</mo><mi arg='a1'>p</mi><mo>)</mo></mrow></mrow></math>"
        - "<math><msub intent='galois-field($a1)'><mi>F</mi><mi arg='a1'>p</mi></msub></math>"
        - "<math><msub intent='galois-field($a1)'><mi>𝔽</mi><mi arg='a1'>p</mi></msub></math>"
@@ -4667,7 +4667,7 @@ concepts:
       en: galois group of $1
       property: function
       area: "abstract algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='galois-group($a1)'><mi>Gal</mi><mi arg='a1'>G</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/GaloisGroup.html"
@@ -4680,7 +4680,7 @@ concepts:
       en: gamma distribution
       property: symbol
       area: "probability theory"
-      comments:
+      mathml:
        - "<math><mi intent='gamma-distribution'>Γ</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/GammaDistribution.html"
@@ -4691,7 +4691,7 @@ concepts:
       en: gamma function of $1
       property: operator
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='gamma-function($a1)'><mi>Γ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/GammaFunction.html"
@@ -4708,7 +4708,7 @@ concepts:
       en: gateaux derivative of $1 at $2 ; £3
       property: mixfix
       area: "differential calculus"
-      comments:
+      mathml:
       - "<math><mrow intent='gateaux-derivative($a1,$a2,$a3)'><mi>d</mi><mi arg='a1'>F</mi><mrow><mo>(</mo><mi arg='a2'>u</mi><mo>;</mo><mi arg='a3'>ψ)</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/GateauxDerivative.html"
@@ -4722,7 +4722,7 @@ concepts:
       en: gauss of $1
       property: unit
       area: "physics"
-      comments:
+      mathml:
        - "<math><mrow intent='gauss($a1)'><mi>G</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Gauss_(unit)"
@@ -4732,7 +4732,7 @@ concepts:
       en: gaussian distribution
       property: symbol
       area: "probability theory"
-      comments:
+      mathml:
        - "<math><mi intent='gaussian-distribution'>𝒩</mi></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Normal_distribution"
@@ -4746,7 +4746,7 @@ concepts:
       en: gaussian curvature of $1
       property: function
       area: "differential geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='gaussian-curvature($a1)'><mi>Κ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/GaussianCurvature.html"
@@ -4758,7 +4758,7 @@ concepts:
       en: gaussian integers
       property: constant
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='gaussian-integers'><mi>ℤ</mi><mo>[</mo><mi>i</mi><mo>]</mo></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/GaussianInteger.html"
@@ -4770,7 +4770,7 @@ concepts:
       en: gegenbauer polynomial
       property: "indexed function"
       area: "orthogonal polynomials"
-      comments:
+      mathml:
        - "<math><mrow intent='gegenbauer-polynomial($a1,$a2)'><msubsup><mi>C</mi><mi arg='a1'>n</mi><mrow><mo>(</mo><mi arg='a2'>α</mi><mo>)</mo></mrow></msubsup><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mrow></math>"
       notation: "msubsup C $1 ($2"
       urls: 
@@ -4784,7 +4784,7 @@ concepts:
       en: gelfand triple of $1, $2 and $3
       property: fenced
       area: "functional analysis"
-      comments:
+      mathml:
        - "<math><mrow intent='gelfand-triple($a1,$a2,$a3)'><mo>(</mo><mi arg='a1'>a</mi><mo>,</mo><mi arg='a2'>b</mi><mo>,</mo><mi arg='a3'>c</mi><mo>)</mo></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Rigged_Hilbert_space#Formal_definition_(Gelfand_triple)"
@@ -4794,7 +4794,7 @@ concepts:
       en: gelfond constant
       property: constant
       area: "transcendental constants"
-      comments:
+      mathml:
        - "<math><msup intent='gelfond-constant'><mi>e</mi><mi>π</mi></msup></math>"
       urls: 
        - "https://mathworld.wolfram.com/GelfondsConstant.html"
@@ -4805,7 +4805,7 @@ concepts:
       en: gelfond schneider constant
       property: constant
       area: "transcendental constants"
-      comments:
+      mathml:
        - "<math><msup intent='gelfond-schneider-constant'><mn>2</mn><msqrt><mn>2</mn></msqrt></msup></math>"
       urls: 
        - "https://mathworld.wolfram.com/Gelfond-SchneiderConstant.html"
@@ -4816,7 +4816,7 @@ concepts:
       en: gell mann matrix
       property: symbol
       area: "particle physics"
-      comments:
+      mathml:
        - "<math><mi intent='gell-mann-matrix'>λ</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/Gell-MannMatrix.html"
@@ -4828,7 +4828,7 @@ concepts:
       en: general linear group of $1
       property: function
       area: "group theory"
-      comments:
+      mathml:
        - "<math><mrow intent='general-linear-group($a1)'><mi>GL</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='general-linear-group($a1)'><mi>Aut</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
       urls: 
@@ -4843,7 +4843,7 @@ concepts:
       en: generalized hypergeometric function $1 $2
       property: mmultiscripts
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mmultiscripts intent='fox-wright-function($a1,$a2)'><mi>F</mi><mi arg='a2'>q</mi><mrow/><mprescripts/><mi arg='a1'>p</mi><mrow/></mmultiscripts></math>"
       urls: 
        - "https://mathworld.wolfram.com/GeneralizedHypergeometricFunction.html"
@@ -4863,7 +4863,7 @@ concepts:
       en: generalized mean of $1
       property: function
       area: "means"
-      comments:
+      mathml:
        - "<math><msub intent='generalized-mean($a1)'><mi>M</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/GeneralizedMean.html"
@@ -4878,7 +4878,7 @@ concepts:
       en: genocchi number
       property: symbol
       area: "integer sequences"
-      comments:
+      mathml:
        - "<math><msub intent='genocchi-number($a1)'><mi>G</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/GenocchiNumber.html"
@@ -4891,7 +4891,7 @@ concepts:
       en: geodesic curvature
       property: symbol
       area: "riemannian geometry"
-      comments:
+      mathml:
        - "<math><msub intent='geodesic-curvature'><mi>k</mi><mi>g</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/GeodesicCurvature.html"
@@ -4903,7 +4903,7 @@ concepts:
       en: geodesic distance of $1
       property: function
       area: "graph theory"
-      comments:
+      mathml:
        - "<math><mrow intent='geodesic-distance($a1)'><mi>d</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Distance_(graph_theory)"
@@ -4918,7 +4918,7 @@ concepts:
       en: geometric genus of $1
       property: function
       area: "algebraic geometry"
-      comments:
+      mathml:
        - "<math><msub intent='geometric-genus($a1)'><mi arg='a1'>p</mi><mi>g</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/GeometricGenus.html"
@@ -4930,7 +4930,7 @@ concepts:
       en: geometric integral over $1 $2
       property: indexed
       area: "calculus"
-      comments:
+      mathml:
        - "<math><mrow intent='geometric-integral($a1,$2)'><munderover><mo>Π</mo><mi arg='a1'>a</mi><mi arg='a2'>b</mi></munderover></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Product_integral"
@@ -4940,7 +4940,7 @@ concepts:
       en: geometric mean of $1
       property: function
       area: "means"
-      comments:
+      mathml:
        - "<math><mrow intent='geometric-mean($a1)'><mi>GM</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/GeometricMean.html"
@@ -4952,7 +4952,7 @@ concepts:
       en: $1 geometric product $2
       property: infix
       area: "geometric algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='geometric-product($a1,$a2)'><mi arg='a1'>X</mi><mo>&#x2062;</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Geometric_algebra"
@@ -4962,7 +4962,7 @@ concepts:
       en: germ of $1 at $2
       property: mixfix
       area: "topology"
-      comments:
+      mathml:
        - "<math><msub intent='germ($a1,$a2)'><mrow><mo>[</mo><mi arg='a1'>S</mi><mo>]</mo></mrow><mi arg='a2'>x</mi></msub></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Germ_(mathematics)"
@@ -4974,7 +4974,7 @@ concepts:
       en: glaisher constant
       property: constant
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mi intent='glaisher-constant'>A</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/GlaisherConstant.html"
@@ -4988,7 +4988,7 @@ concepts:
       en: global dimension of $1
       property: function
       area: "ring theory"
-      comments:
+      mathml:
        - "<math><mrow intent='global-dimension($a1)'><mi>gl dim</mi><mrow><mo>(</mo><mi arg='a1'>A</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Global_dimension"
@@ -5001,7 +5001,7 @@ concepts:
       en: golden ratio
       property: constant
       area: "geometry"
-      comments:
+      mathml:
        - "<math><mi intent='golden-ratio'>φ</mi></math>"
        - "<math><mi intent='golden-ratio'>ϕ</mi></math>"
       urls: 
@@ -5024,7 +5024,7 @@ concepts:
       en: graham number
       property: constant
       area: "ramsey theory"
-      comments:
+      mathml:
        - "<math><msub intent='graham-number'><mi>G</mi><mn>64</mn></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/GrahamsNumber.html"
@@ -5035,7 +5035,7 @@ concepts:
       en: gram determinant of $1
       property: function
       area: "linear algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='gram-determinant($a1)'><mi>G</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='gram-determinant($a1)'><mi>Γ</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
       urls: 
@@ -5047,7 +5047,7 @@ concepts:
       en: gram matrix
       property: symbol
       area: "linear algebra"
-      comments:
+      mathml:
        - "<math><mi intent='gram-matrix'>G</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/GramMatrix.html"
@@ -5062,7 +5062,7 @@ concepts:
       en: grassmannian of $1
       property: function
       area: "differential geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='grassmannian($a1)'><mi>Gr</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Grassmannian.html"
@@ -5074,7 +5074,7 @@ concepts:
       en: green function of $1
       property: function
       area: "mathematical physics"
-      comments:
+      mathml:
        - "<math><mrow intent='green-function($a1)'><mi>G</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/GreensFunction.html"
@@ -5088,7 +5088,7 @@ concepts:
       en: grobner basis
       property: symbol
       area: "computer algebra"
-      comments:
+      mathml:
        - "<math><mi intent='grobner-basis'>G</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/GroebnerBasis.html"
@@ -5100,7 +5100,7 @@ concepts:
       en: group algebra $2 over $1
       property: mixfix
       area: "ring theory"
-      comments:
+      mathml:
        - "<math><mrow intent='group-algebra($a1,$a2)'><mi arg='a1'>R</mi><mrow><mo>[</mo><mi arg='a2'>G</mi><mo>]</mo></mrow></mrow></math>"
        - "<math><mrow intent='group-algebra($a1,$a2)'><mi arg='a1'>R</mi><mi arg='a2'>G</mi></mrow></math>"
       urls: 
@@ -5114,7 +5114,7 @@ concepts:
       en: group of units of $1
       property: msup, function
       area: "ring theory"
-      comments:
+      mathml:
        - "<math><msup intent='group-of-units($a1)'><mi arg='a1'>X</mi><mo>*</mo></msup></math>"
        - "<math><msup intent='group-of-units($a1)'><mi arg='a1'>X</mi><mo>×</mo></msup></math>"
        - "<math><mrow intent='group-of-units($a1)'><mi>U</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
@@ -5127,7 +5127,7 @@ concepts:
       en: group ring $2 over $1
       property: mixfix, infix
       area: "ring theory"
-      comments:
+      mathml:
        - "<math><mrow intent='group-ring($a1,$a2)'><mi arg='a1'>R</mi><mrow><mo>[</mo><mi arg='a2'>G</mi><mo>]</mo></mrow></mrow></math>"
        - "<math><mrow intent='group-ring($a1,$a2)'><mi arg='a1'>R</mi><mi arg='a2'>G</mi></mrow></math>"
       urls: 
@@ -5139,7 +5139,7 @@ concepts:
       en: gudermannian function of $1
       property: function
       area: "trigonometry"
-      comments:
+      mathml:
        - "<math><mrow intent='gudermannian-function($a1)'><mi>gd</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/GudermannianFunction.html"
@@ -5153,7 +5153,7 @@ concepts:
       en: $1 hadamard product $2
       property: infix
       area: "algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='hadamard-product($a1,$a2)'><mi arg='a1'>X</mi><mo>∘</mo><mi arg='a2'>Y</mi></mrow></math>"
        - "<math><mrow intent='hadamard-product($a1,$a2)'><mi arg='a1'>X</mi><mo>⊙</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
@@ -5169,7 +5169,7 @@ concepts:
       en: hahn polynomial of $1
       property: function
       area: "orthogonal polynomials"
-      comments:
+      mathml:
        - "<math><msub intent='hahn-polynomial($a1)'><mi>q</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/HahnPolynomial.html"
@@ -5181,7 +5181,7 @@ concepts:
       en: hamiltonian of $1
       property: operator
       area: "quantum mechanics"
-      comments:
+      mathml:
        - "<math><mrow intent='hamiltonian($a1)'><mi>H</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
       notationc: "mover H ˇ"
       notationb: "mover H ^"
@@ -5198,7 +5198,7 @@ concepts:
       en: hankel function of $1
       property: "indexed function"
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='hankel-function($a1)'><mi>H</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/HankelFunction.html"
@@ -5210,7 +5210,7 @@ concepts:
       en: hardy class of $1
       property: "indexed symbol"
       area: "complex analysis"
-      comments:
+      mathml:
        - "<math><msup intent='hardy-class($a1)'><mi>H</mi><mi arg='a1'>x</mi></msup></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Hardy_space"
@@ -5223,7 +5223,7 @@ concepts:
       en: hardy space of $1
       property: mixfix
       area: "complex analysis"
-      comments:
+      mathml:
        - "<math><msup intent='hardy-space($a1)'><mi>H</mi><mi arg='a1'>p</mi></msup></math>"
       urls: 
        - "https://mathworld.wolfram.com/HardySpace.html"
@@ -5235,7 +5235,7 @@ concepts:
       en: hardy littlewood maximal operator of $1
       property: operator
       area: "real analysis"
-      comments:
+      mathml:
        - "<math><mrow intent='hardy-littlewood-maximal-operator($a1)'><mi>M</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Hardy%E2%80%93Littlewood_maximal_function"
@@ -5247,7 +5247,7 @@ concepts:
       en: harmonic mean of $1
       property: function
       area: "means"
-      comments:
+      mathml:
        - "<math><mrow intent='harmonic-mean($a1)'><mi>H</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/HarmonicMean.html"
@@ -5261,7 +5261,7 @@ concepts:
       en: hausdorff measure of $1
       property: "indexed function"
       area: "metric geometry"
-      comments:
+      mathml:
        - "<math><msup intent='hausdorff-measure($a1)'><mi>H</mi><mi arg='a1'>d</mi></msup></math>"
       urls: 
        - "https://mathworld.wolfram.com/HausdorffMeasure.html"
@@ -5272,7 +5272,7 @@ concepts:
       en: hausdorff distance $1 $2
       property: function
       area: "metric geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='hausdorff-metric($a1)'><msub><mi>d</mi><mi>H</mi></msub><mrow><mo>(</mo><mi arg='a1'>X</mi><mo>,</mo><mi arg='a2'>Y</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Hausdorff_distance"
@@ -5283,7 +5283,7 @@ concepts:
       en: hausdorff space
       property: constant
       area: "topology"
-      comments:
+      mathml:
        - "<math><msub intent='hausdorff-space'><mi>T</mi><mn>2</mn></msub></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Separation_axiom#Main_definitions"
@@ -5295,7 +5295,7 @@ concepts:
       en: hazard function of $1
       property: function
       area: "engineering"
-      comments:
+      mathml:
        - "<math><mrow intent='hazard-function($a1)'><mi>h</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/HazardFunction.html"
@@ -5307,7 +5307,7 @@ concepts:
       en: heaviside function of $1
       property: function
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='heaviside-function($a1)'><mi>H</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://dlmf.nist.gov/1.16#E13)[https://en.wikipedia.org/wiki/Heaviside_step_function"
@@ -5321,7 +5321,7 @@ concepts:
       en: heawood number of $1
       property: function
       area: "topological graph theory"
-      comments:
+      mathml:
        - "<math><mrow intent='heawood-number($a1)'><mi>H</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Heawood_number"
@@ -5331,7 +5331,7 @@ concepts:
       en: hecke operator of $1
       property: operator
       area: "modular forms"
-      comments:
+      mathml:
        - "<math><msub intent='hecke-operator($a1)'><mi>T</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/HeckeOperator.html"
@@ -5342,7 +5342,7 @@ concepts:
       en: height function of $1
       property: function
       area: "algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='height-function($a1)'><mi>H</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='height-function($a1)'><mi>h</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
       urls: 
@@ -5353,7 +5353,7 @@ concepts:
       en: height of abelian group of $1
       property: function
       area: "group theory"
-      comments:
+      mathml:
        - "<math><msub intent='height-of-abelian-group($a1)'><mi>h</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Height_(abelian_group)"
@@ -5363,7 +5363,7 @@ concepts:
       en: height of prime ideal of $1
       property: function
       area: "commutative algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='height-of-prime-ideal($a1)'><mi>ht</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Krull_dimension#height"
@@ -5377,7 +5377,7 @@ concepts:
       en: heisenberg group
       property: symbol
       area: "group theory"
-      comments:
+      mathml:
        - "<math><mrow intent='heisenberg-group($a1)'><mi>H</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/HeisenbergGroup.html"
@@ -5389,7 +5389,7 @@ concepts:
       en: hermite polynomial of $1
       property: function
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='hermite-polynomial($a1)'><mi>H</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='hermite-polynomial($a1)'><mi>He</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
       urls: 
@@ -5404,7 +5404,7 @@ concepts:
       en: hermitian adjoint of $1
       property: msup
       area: "functional analysis"
-      comments:
+      mathml:
        - "<math><msup intent='hermitian-adjoint($a1)'><mi arg='a1'>A</mi><mo>†</mo></msup></math>"
        - "<math><msup intent='hermitian-adjoint($a1)'><mi arg='a1'>A</mi><mo>*</mo></msup></math>"
       urls: 
@@ -5417,7 +5417,7 @@ concepts:
       en: hermitian conjugate of $1
       property: msup
       area: "linear algebra"
-      comments:
+      mathml:
        - "<math><msup intent='hermitian-conjugate($a1)'><mi arg='a1'>A</mi><mi>H</mi></msup></math>"
       urls: 
        - "https://mathworld.wolfram.com/HermitianConjugate.html"
@@ -5430,7 +5430,7 @@ concepts:
       en: heronian mean of $1
       property: function
       area: "means"
-      comments:
+      mathml:
        - "<math><mrow intent='heronian-mean($a1)'><mi>H</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/HeronianMean.html"
@@ -5441,7 +5441,7 @@ concepts:
       en: hessian of $1
       property: operator
       area: "differential operators"
-      comments:
+      mathml:
        - "<math><mrow intent='hessian($a1)'><mi>H</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Hessian.html"
@@ -5455,7 +5455,7 @@ concepts:
       en: heun function of $1
       property: function
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='heun-function($a1)'><mi>Hf</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='heun-function($a1)'><mi>H⁢ℓ</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
       urls: 
@@ -5469,7 +5469,7 @@ concepts:
       en: heun polynomial of $1
       property: function
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='heun-polynomial($a1)'><mi>Hp</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Heun_function"
@@ -5481,7 +5481,7 @@ concepts:
       en: hexadecimal of $1
       property: unit
       area: "arithmetic"
-      comments:
+      mathml:
        - "<math><mrow intent='hexadecimal($a1)'><mi>hex</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
       notationb: "msub $1 hex"
       notationa: "msub $1 16"
@@ -5494,7 +5494,7 @@ concepts:
       en: hilbert symbol
       property: fenced
       area: "quadratic forms"
-      comments:
+      mathml:
        - "<math><mrow intent='hilbert-symbol($a1,$a2)'><mo>(</mo><mi arg='a1'>x</mi><mo>,</mo><mi arg='a2'>y</mi><mo>)</mo></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/HilbertSymbol.html"
@@ -5505,7 +5505,7 @@ concepts:
       en: hilbert schmidt norm of $1
       property: fenced
       area: "matrix norms"
-      comments:
+      mathml:
        - "<math><msub intent='hilbert-schmidt-norm($a1)'><mrow><mo>|</mo><mi arg='a1'>X</mi><mo>|</mo></mrow><mi>HS</mi></msub></math>"
       notation: "msub mrow | $1 | HS"
       urls: 
@@ -5518,7 +5518,7 @@ concepts:
       en: $1 hit or miss transform $2
       property: infix
       area: "mathematical morphology"
-      comments:
+      mathml:
        - "<math><mrow intent='hit-or-miss-transform($a1,$a2)'><mi arg='a1'>X</mi><mo>⊙</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Hit-or-miss_transform"
@@ -5528,7 +5528,7 @@ concepts:
       en: hodge star operator of $1
       property: prefix
       area: "differential geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='hodge-star-operator($a1)'><mo>⋆</mo><mi arg='a1'>x</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Hodge_dual"
@@ -5539,7 +5539,7 @@ concepts:
       en: holomorph of $1
       property: function
       area: "group theory"
-      comments:
+      mathml:
        - "<math><mrow intent='holomorph($a1)'><mi>Hol</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Holomorph_(mathematics)"
@@ -5550,7 +5550,7 @@ concepts:
       en: holonomy group of $1
       property: "indexed symbol"
       area: "differential geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='holonomy-group($a1)'><mi>Hol</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Holonomy.html"
@@ -5562,7 +5562,7 @@ concepts:
       en: home prime of $1
       property: function
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='home-prime($a1)'><mi>HP</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/HomePrime.html"
@@ -5573,7 +5573,7 @@ concepts:
       en: homology group of $1
       property: function
       area: "homology theory"
-      comments:
+      mathml:
        - "<math><msub intent='homology-group($a1)'><mi>H</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/HomologyGroup.html"
@@ -5584,7 +5584,7 @@ concepts:
       en: $1 homomorphic product $2
       property: infix
       area: "graph theory"
-      comments:
+      mathml:
        - "<math><mrow intent='homomorphic-product($a1,$a2)'><mi arg='a1'>X</mi><mo>⋉</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Graph_product"
@@ -5595,7 +5595,7 @@ concepts:
       en: homotopy category of $1
       property: function
       area: "category theory"
-      comments:
+      mathml:
        - "<math><mrow intent='homotopy-category($a1)'><mi>Ho</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://ncatlab.org/nlab/show/homotopy+category"
@@ -5605,7 +5605,7 @@ concepts:
       en: $1 horsepower
       property: unit
       area: "imperial unit"
-      comments:
+      mathml:
        - "<math><mrow intent='horsepower-mechanical($a1)'><mi arg='a1'>x</mi><mo>&#x2009;</mo><mi>hp</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Horsepower"
@@ -5617,7 +5617,7 @@ concepts:
       en: horsepower metric of $1
       property: unit
       area: "metric unit"
-      comments:
+      mathml:
        - "<math><mrow intent='horsepower-metric($a1)'><mi>PS</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='horsepower-metric($a1)'><mi>cv</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='horsepower-metric($a1)'><mi>hk</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
@@ -5634,7 +5634,7 @@ concepts:
       en: hurwitz zeta function of $1
       property: function
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='hurwitz-zeta-function($a1)'><mi>ζ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/HurwitzZetaFunction.html"
@@ -5647,7 +5647,7 @@ concepts:
       en: hvat of $1
       property: unit
       area: "customary units"
-      comments:
+      mathml:
        - "<math><mrow intent='hvat($a1)'><mi>hvat</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Kubni_hvat"
@@ -5660,7 +5660,7 @@ concepts:
       en: $1 hydrated compound $2
       property: infix
       area: "chemistry"
-      comments:
+      mathml:
        - "<math><mrow intent='hydrated-compound($a1,$a2)'><mi arg='a1'>X</mi><mo>⋅</mo><mi arg='a2'>Y</mi></mrow></math>"
        - "<math><mrow intent='hydrated-compound($a1,$a2)'><mi arg='a1'>X</mi><mo>•</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
@@ -5673,7 +5673,7 @@ concepts:
       en: hyperbolic cosine integral of $1
       property: function
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='hyperbolic-cosine-integral($a1)'><mi>Chi</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/HyperbolicCosineIntegral.html"
@@ -5684,7 +5684,7 @@ concepts:
       en: hyperbolic plane
       property: symbol
       area: "non-euclidean geometry"
-      comments:
+      mathml:
        - "<math><msup intent='hyperbolic-plane'><mi>ℍ</mi><mn>2</mn></msup></math>"
       urls: 
        - "https://mathworld.wolfram.com/HyperbolicPlane.html"
@@ -5695,7 +5695,7 @@ concepts:
       en: hyperbolic sine integral of $1
       property: function
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='hyperbolic-sine-integral($a1)'><mi>Shi</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/HyperbolicSineIntegral.html"
@@ -5706,7 +5706,7 @@ concepts:
       en: hyperbolic space
       property: symbol
       area: "non-euclidean geometry"
-      comments:
+      mathml:
        - "<math><msup intent='hyperbolic-space($1)'><mi mathvariant='normal'>H</mi><mi arg='a1'>n</mi></msup></math>"
       urls: 
        - "https://mathworld.wolfram.com/HyperbolicSpace.html"
@@ -5717,7 +5717,7 @@ concepts:
       en: hyperbolic umbilic canonical integral function of $1
       property: function
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='hyperbolic-umbilic-canonical-integral-function($a1)'><msup><mo>Ψ</mo><mrow><mo>(</mo><mi mathvariant='normal'>E</mi><mo>)</mo></mrow></msup><mi arg='a1'>z</mi></mrow></math>"
       urls: 
        - "https://dlmf.nist.gov/36.2#E11"
@@ -5729,7 +5729,7 @@ concepts:
       en: hyperdeterminant of $1
       property: "function, fenced"
       area: "multilinear algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='hyperdeterminant($a1)'><mi>det</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='hyperdeterminant($a1)'><mo>|</mo><mi arg='a1'>x</mi><mo>|</mo></mrow></math>"
       urls: 
@@ -5742,7 +5742,7 @@ concepts:
       en: $1<i>th</i> hypertorus
       property: "indexed symbol"
       area: "topology"
-      comments:
+      mathml:
        - "<math><msup intent='hypertorus($a1)'><mi>T</mi><mi arg='a1'>n</mi></msup></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Torus#n-dimensional_torus"
@@ -5755,7 +5755,7 @@ concepts:
       en: identity element
       property: symbol
       area: "group theory"
-      comments:
+      mathml:
        - "<math><mi intent='identity-element'>e</mi></math>"
        - "<math><mi intent='identity-element'>I</mi></math>"
        - "<math><mi intent='identity-element'>E</mi></math>"
@@ -5773,7 +5773,7 @@ concepts:
       en: identity function of $1
       property: function
       area: "algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='identity-function($a1)'><mi>id</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><msub intent='identity-function($a1)'><mi>id</mi><mi arg='a1'>x</mi></msub></math>"
        - "<math><msub intent='identity-function($a1)'><mi>I</mi><mi arg='a1'>x</mi></msub></math>"
@@ -5791,7 +5791,7 @@ concepts:
       en: identity functor of $1
       property: function
       area: "category theory"
-      comments:
+      mathml:
        - "<math><msub intent='identity-functor($a1)'><mi>1</mi><mi arg='a1'>x</mi></msub></math>"
        - "<math><msub intent='identity-functor($a1)'><mi>I</mi><mi arg='a1'>x</mi></msub></math>"
        - "<math><msub intent='identity-functor($a1)'><mi>Id</mi><mi arg='a1'>x</mi></msub></math>"
@@ -5804,7 +5804,7 @@ concepts:
       en: identity matrix
       property: symbol
       area: "linear algebra"
-      comments:
+      mathml:
        - "<math><mi intent='identity-matrix'>I</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/IdentityMatrix.html"
@@ -5817,7 +5817,7 @@ concepts:
       en: image $1
       property: mixfix
       area: "set theory"
-      comments:
+      mathml:
        - "<math><mrow intent='image($a1)'><mi>Image</mi><mrow><mo>(</mo><mi arg='a1'>f</mi><mo>)</mo></mrow></mrow></math>"
        - "<math><mrow intent='image($a1)'><mi arg='a1'>f</mi><mrow><mo>(</mo><mi>D</mi><mo>)</mo></mrow></mrow></math>"
        - "<math><msup intent='image($a1)'><mi>X</mi><mo>→</mo></msup></math>"
@@ -5834,7 +5834,7 @@ concepts:
       en: incenter
       property: symbol
       area: "geometry"
-      comments:
+      mathml:
        - "<math><mi intent='incenter'>I</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/Incenter.html"
@@ -5847,7 +5847,7 @@ concepts:
       en: $1 incidence relation $2
       property: infix
       area: "projective geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='incidence-relation($a1,$a2)'><mi arg='a1'>X</mi><mi>I</mi><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Incidence_(geometry)"
@@ -5859,7 +5859,7 @@ concepts:
       en: incidence structure of $1, $2 and $3
       property: fenced
       area: "incidence geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='incidence-structure($a1,$a2,$a3)'><mo>(</mo><mi arg='a1'>P</mi><mo>,</mo><mi arg='a2'>L</mi><mo>,</mo><mi arg='a3'>I</mi><mo>)</mo></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Incidence_structure"
@@ -5869,7 +5869,7 @@ concepts:
       en: inclusion map of $1
       property: function
       area: "set theory"
-      comments:
+      mathml:
        - "<math><mrow intent='inclusion-map($a1)'><mi>ι</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Inclusion_map"
@@ -5883,7 +5883,7 @@ concepts:
       en: $1 incomparable to $2
       property: infix
       area: "order theory"
-      comments:
+      mathml:
        - "<math><mrow intent='incomparability($a1,$a2)'><mi arg='a1'>X</mi><mo>⪋̸</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Comparability"
@@ -5895,7 +5895,7 @@ concepts:
       en: incomplete beta function of $1
       property: function
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='incomplete-beta-function($a1)'><mi>B</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/IncompleteBetaFunction.html"
@@ -5908,7 +5908,7 @@ concepts:
       en: incomplete elliptic integral of the first kind of $1
       property: function
       area: "elliptic functions"
-      comments:
+      mathml:
        - "<math><mrow intent='incomplete-elliptic-integral-of-the-first-kind($a1)'><mi>F</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/EllipticIntegral.html"
@@ -5920,7 +5920,7 @@ concepts:
       en: incomplete elliptic integral of the second kind of $1
       property: function
       area: "elliptic functions"
-      comments:
+      mathml:
        - "<math><mrow intent='incomplete-elliptic-integral-of-the-second-kind($a1)'><mi>E</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/EllipticIntegral.html"
@@ -5932,7 +5932,7 @@ concepts:
       en: incomplete gamma function of $1
       property: function
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='incomplete-gamma-function($a1)'><mi>Γ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/IncompleteGammaFunction.html"
@@ -5948,7 +5948,7 @@ concepts:
       en: increase of $1
       property: postfix
       area: "physics"
-      comments:
+      mathml:
        - "<math><mrow intent='increase($a1)'><mi arg='a1'>x</mi><mo>↑</mo></mrow></math>"
       urls: 
        - "https://youtu.be/HZ7a9YkF204?t=4606"
@@ -5958,7 +5958,7 @@ concepts:
       en: $1 increase tends to $2
       property: infix
       area: "calculus"
-      comments:
+      mathml:
        - "<math><mrow intent='increase-tends-to($a1,$a2)'><mi arg='a1'>X</mi><mo>↗</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://math.stackexchange.com/questions/1886232/what-does-this-notation-mean-limes-from-left-right"
@@ -5969,7 +5969,7 @@ concepts:
       en: $1 independent $2
       property: infix
       area: "probability theory"
-      comments:
+      mathml:
        - "<math><mrow intent='independent($a1,$a2)'><mi arg='a1'>X</mi><mo>⟂</mo><mi arg='a2'>Y</mi></mrow></math>"
        - "<math><mrow intent='independent($a1,$a2)'><mi arg='a1'>X</mi><mo>⫫</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
@@ -5982,7 +5982,7 @@ concepts:
       en: index of subgroup
       property: fenced
       area: "group theory"
-      comments:
+      mathml:
        - "<math><mrow intent='index-of-subgroup($a1,$a2)'><mo>[</mo><mi arg='a1'>x</mi><mo>:</mo><mi arg='a2'>y</mi><mo>]</mo></mrow></math>"
        - "<math><mrow intent='index-of-subgroup($a1,$a2)'><mo>(</mo><mi arg='a1'>x</mi><mo>:</mo><mi arg='a2'>y</mi><mo>)</mo></mrow></math>"
        - "<math><mrow intent='index-of-subgroup($a1,$a2)'><mo>|</mo><mi arg='a1'>x</mi><mo>:</mo><mi arg='a2'>y</mi><mo>|</mo></mrow></math>"
@@ -5994,7 +5994,7 @@ concepts:
       en: index of lie algebra of $1
       property: function
       area: "lie algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='index-of-lie-algebra($a1)'><mi>ind</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Index_of_a_Lie_algebra"
@@ -6004,7 +6004,7 @@ concepts:
       en: infimum of $1
       property: "function, largeop"
       area: "order theory"
-      comments:
+      mathml:
        - "<math><mrow intent='infimum($a1)'><mi>inf</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='infimum($a1)'><mo>⋀</mo><mi arg='a1'>X</mi></mrow></math>"
       urls: 
@@ -6019,7 +6019,7 @@ concepts:
       en: infimum limit of $1
       property: indexed
       area: "limits"
-      comments:
+      mathml:
        - "<math><mrow intent='infimum-limit($a1)'><mi>lim inf</mi><mrow><mo>(</mo><mi arg='a1'>X</mi><mo>)</mo></mrow></mrow></math>"
        - "<math><mrow intent='infimum-limit($a1)'><munder><mi>lim</mi><mo>_</mo></munder><mrow><mo>(</mo><mi arg='a1'>X</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
@@ -6038,7 +6038,7 @@ concepts:
       en: infinite product of $1
       property: indexed
       area: "mathematical analysis"
-      comments:
+      mathml:
        - "<math><mrow intent='infinite-product($a1)'><munderover><mo>Π</mo><mn>1</mn><mo>∞</mo></munderover><msub arg='a1'><mi>a</mi><mi>n</mi></msub></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/InfiniteProduct.html"
@@ -6050,7 +6050,7 @@ concepts:
       en: infinitely many concurrently active copies of $1
       property: prefix
       area: "formal languages"
-      comments:
+      mathml:
        - "<math><mrow intent='infinitely-many-concurrently-active-copies($a1)'><mo>!</mo><mi arg='a1'>x</mi></mrow></math>"
       urls: 
        - "https://arxiv.org/pdf/0903.3513.pdf"
@@ -6060,7 +6060,7 @@ concepts:
       en: injection $1, from $2 to $3
       property: mixfix, 
       area: "set theory"
-      comments:
+      mathml:
        - "<math><mrow intent='injection($a1,$a2,$a3)'><mi arg='a1'>f</mi><mo>:</mo><mi arg='a2'>X</mi><mo>↣</mo><mi arg='a3'>Y</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Bijection#Definition"
@@ -6070,7 +6070,7 @@ concepts:
       en: inner automorphism group of $1
       property: function
       area: "abstract algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='inner-automorphism-group($a1)'><mi>Inn</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/InnerAutomorphism.html"
@@ -6085,7 +6085,7 @@ concepts:
       en: inner jordan measure of $1
       property: function
       area: "measure theory"
-      comments:
+      mathml:
        - "<math><mrow intent='inner-jordan-measure($a1)'><msub><mi>m</mi><mo>*</mo></msub><mrow><mo>(</mo><mi arg='a1'>N</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/JordanMeasure.html"
@@ -6097,7 +6097,7 @@ concepts:
       en: $1 inner product $2
       property: infix, fenced
       area: "linear algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='inner-product($a1,$a2)'><mo>(</mo><mi arg='a1'>x</mi><mo>⋅</mo><mi arg='a2'>y</mi><mo>)</mo></mrow></math>"
        - "<math><mrow intent='inner-product($a1,$a2)'><mo>[</mo><mi arg='a1'>x</mi><mo>,</mo><mi arg='a2'>y</mi><mo>]</mo></mrow></math>"
       urls: 
@@ -6112,7 +6112,7 @@ concepts:
       en: instantaneous activity of $1 at $2
       property: mixfix
       area: "chemistry"
-      comments:
+      mathml:
        - "<math><msub intent='instantaneous-activity($a1,$a2)'><mrow><mo>{</mo><mi arg='a1'>X</mi><mo>}</mo></mrow><mi arg='a2'>t</mi></msub></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Reaction_quotient"
@@ -6122,7 +6122,7 @@ concepts:
       en: integer part of $1
       property: "function, fenced"
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='integer-part($a1)'><mi>int</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
       notationa: "[ $1 ]"
       urls: 
@@ -6134,7 +6134,7 @@ concepts:
       en: interior of $1
       property: msup
       area: "topology"
-      comments:
+      mathml:
        - "<math><msup intent='interior($a1)'><mi arg='a1'>X</mi><mo>o</mo></msup></math>"
        - "<math><msup intent='interior($a1)'><mi arg='a1'>X</mi><mo>∘</mo></msup></math>"
       urls: 
@@ -6148,7 +6148,7 @@ concepts:
       en: interior product of $1 $2
       property: "infix, indexed function"
       area: "differential forms"
-      comments:
+      mathml:
        - "<math><mrow intent='interior-product($a1)'><mi arg='a1'>X</mi><mo>⨼</mo><mi arg='a2'>ω</mi></mrow></math>"
        - "<math><mrow intent='interior-product($a1)'><msub><mi>ι</mi><mi arg='a1'>X</mi></msub><mi arg='a2'>ω</mi></mrow></math>"
       urls: 
@@ -6160,7 +6160,7 @@ concepts:
       en: $1 intersection number $2
       property: infix
       area: "algebraic geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='intersection-number($a1,$a2)'><mi arg='a1'>X</mi><mo>⋅</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Intersection_number"
@@ -6170,7 +6170,7 @@ concepts:
       en: inverse image $1 $2
       property: mixfix
       area: "set theory"
-      comments:
+      mathml:
        - "<math><mrow intent='inverse-image($a1,$a2)'><msup><mi arg='a1'>f</mi><mn>−1</mn></msup><mrow><mo>[</mo><mi arg='a2'>X</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Image_(mathematics)"
@@ -6183,7 +6183,7 @@ concepts:
       en: inverse limit of $1
       property: prefix
       area: "category theory"
-      comments:
+      mathml:
        - "<math><mrow intent='inverse-limit($a1)'><munder><mi>lim</mi><mo>←</mo></munder><mrow><mo>(</mo><msub arg='a1'><mi>A</mi><mi>i</mi></msub><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/InverseLimit.html"
@@ -6197,7 +6197,7 @@ concepts:
       en: $2<i>th</i> inverse moment of function $1
       property: "msub, mixfix"
       area: "mathematics"
-      comments:
+      mathml:
        - "<math><mrow intent='inverse-moment-of-function($a1,$a2)'><mi>E</mi><mrow><mo>[</mo><msup><mi arg='a1'>X</mi><mrow><mo>−</mo><mi arg='a2'>n</mi></mrow></msup><mo>]</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Moment_(mathematics)"
@@ -6209,7 +6209,7 @@ concepts:
       en: inverse tangent integral of $1
       property: "indexed function"
       area: "special functions"
-      comments:
+      mathml:
        - "<math><msub intent='inverse-tangent-integral($a1)'><mi>Ti</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Polylogarithm"
@@ -6219,7 +6219,7 @@ concepts:
       en: inverse wishart distribution
       property: symbol
       area: "probability theory"
-      comments:
+      mathml:
        - "<math><msubsup intent='inverse-wishart-distribution'><mi>W</mi><mi>p</mi><mn>−1</mn></msubsup></math>"
       urls: 
        - "https://mathworld.wolfram.com/WishartDistribution.html"
@@ -6231,7 +6231,7 @@ concepts:
       en: ionic charge
       property: msup
       area: "chemistry"
-      comments:
+      mathml:
        - "<math><msup intent='ionic-charge($a1,$a2)'><mi arg='a1'>Fe</mi><mrow arg='a2'><mn>2</mn></mrow></msup></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Ion#Chemistry"
@@ -6241,7 +6241,7 @@ concepts:
       en: isogonal conjugate of $1
       property: msup
       area: "geometry"
-      comments:
+      mathml:
        - "<math><msup intent='isogonal-conjugate($a1)'><mi arg='a1'>X</mi><mn>-1</mn></msup></math>"
       urls: 
        - "https://mathworld.wolfram.com/IsogonalConjugate.html"
@@ -6252,7 +6252,7 @@ concepts:
       en: $1 isomorphism $2
       property: infix
       area: "set theory"
-      comments:
+      mathml:
        - "<math><mrow intent='isomorphism($a1,$a2)'><mi arg='a1'>X</mi><mover><mo>↦</mo><mo>∼</mo></mover><mi arg='a2'>Y</mi></mrow></math>"
        - "<math><mrow intent='isomorphism($a1,$a2)'><mi arg='a1'>X</mi><mo>≅</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
@@ -6268,7 +6268,7 @@ concepts:
       en: isotropy group
       property: msub
       area: "group theory"
-      comments:
+      mathml:
        - "<math><msub intent='isotropy-group($a1,$a2)'><mi arg='a1'>G</mi><mi arg='a2'>x</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/IsotropyGroup.html"
@@ -6282,7 +6282,7 @@ concepts:
       en: iverson bracket of $1
       property: fenced
       area: "set theory"
-      comments:
+      mathml:
        - "<math><mrow intent='iverson-bracket($a1)'><mo>[</mo><mi arg='a1'>P</mi><mo>]</mo></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Iverson_bracket"
@@ -6292,7 +6292,7 @@ concepts:
       en: j invariant of $1
       property: function
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='j-invariant($a1)'><mi>j</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/j-Invariant.html"
@@ -6303,7 +6303,7 @@ concepts:
       en: jacobi matrix of $1
       property: function
       area: "operator theory"
-      comments:
+      mathml:
        - "<math><mrow intent='jacobi-matrix($a1)'><mi>J</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/JacobiMatrix.html"
@@ -6317,7 +6317,7 @@ concepts:
       en: $1<i>th</i>jacobi polynomial of $2
       property: function
       area: "orthogonal polynomials"
-      comments:
+      mathml:
        - "<math><mrow intent='jacobi-polynomial($a1,$2)'><msubsup><mi>P</mi><mi arg='a1'>n</mi><mrow><mi>α</mi><mo>,</mo><mi>β</mi></mrow></msubsup><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       notation: "msubsup P"
       urls: 
@@ -6333,7 +6333,7 @@ concepts:
       en: jacobi symbol
       property: mixfix
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='jacobi-symbol($a1,$a2)'><mo>(</mo><mi arg='a1'>x</mi><mo>|</mo><mi arg='a2'>y</mi><mo>)</mo></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/JacobiSymbol.html"
@@ -6346,7 +6346,7 @@ concepts:
       en: jacobi theta function of $1
       property: function
       area: "special-functions"
-      comments:
+      mathml:
        - "<math><mrow intent='jacobi-theta-function($a1)'><mi>ϑ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/JacobiThetaFunctions.html"
@@ -6357,7 +6357,7 @@ concepts:
       en: jacobi zeta function
       property: function
       area: "special-functions"
-      comments:
+      mathml:
        - "<math><mrow intent='jacobi-zeta-function($a1,$a2)'><mi>Z</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>|</mo><mi arg='a2'>k</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/JacobiZetaFunction.html"
@@ -6370,7 +6370,7 @@ concepts:
       en: jacobian elliptic function of $1
       property: function
       area: "special-functions"
-      comments:
+      mathml:
        - "<math><mrow intent='jacobian-elliptic-function($a1)'><mi>sn</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='jacobian-elliptic-function($a1)'><mi>cn</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='jacobian-elliptic-function($a1)'><mi>dn</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
@@ -6391,7 +6391,7 @@ concepts:
       en: jacobson radical of $1
       property: function
       area: "ring theory"
-      comments:
+      mathml:
        - "<math><mrow intent='jacobson-radical($a1)'><mi>J</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='jacobson-radical($a1)'><mi>rad</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
       urls: 
@@ -6405,7 +6405,7 @@ concepts:
       en: jacobsthal number
       property: symbol
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mi intent='jacobsthal-number'>J</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/JacobsthalNumber.html"
@@ -6416,7 +6416,7 @@ concepts:
       en: janko group
       property: symbol
       area: "group theory"
-      comments:
+      mathml:
        - "<math><msub intent='janko-group'><mi>J</mi><mn>1</mn></msub></math>"
        - "<math><msub intent='janko-group'><mi>J</mi><mn>2</mn></msub></math>"
        - "<math><msub intent='janko-group'><mi>J</mi><mn>3</mn></msub></math>"
@@ -6430,7 +6430,7 @@ concepts:
       en: $1 jet of $3 at $2
       property: function
       area: "differential geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='jet($a1,$a2,$a3)'><msubsup><mi>J</mi><mi arg='a3'>x</mi><mi arg='a1'>k</mi></msubsup><mi arg='a3'>f</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Jet_(mathematics)"
@@ -6441,7 +6441,7 @@ concepts:
       en: join of $1
       property: indexed
       area: "measure theory"
-      comments:
+      mathml:
        - "<math><mrow intent='join($a1)'><msub><mo>⋁</mo><mrow><mi>α</mi><mo>∈</mo><mi>𝒜</mi></mrow></msub><mrow arg='a1'><mi>Σ</mi><mi>α</mi></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Join.html"
@@ -6455,7 +6455,7 @@ concepts:
       en: jone polynomial of $1
       property: function
       area: "knot theory"
-      comments:
+      mathml:
        - "<math><mrow intent='jone-polynomial($a1)'><mi>V</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/JonesPolynomial.html"
@@ -6467,7 +6467,7 @@ concepts:
       en: jordan block
       property: "indexed symbol"
       area: "linear algebra"
-      comments:
+      mathml:
        - "<math><msub intent='jordan-block($a1,$a2)'><mi>J</mi><mrow><mi arg='a1'>a</mi><mi arg='a2'>b</mi></mrow></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/JordanBlock.html"
@@ -6480,7 +6480,7 @@ concepts:
       en: jordan measure of $1
       property: function
       area: "measure theory"
-      comments:
+      mathml:
        - "<math><mrow intent='jordan-measure($a1)'><mi>m</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/JordanMeasure.html"
@@ -6492,7 +6492,7 @@ concepts:
       en: jordan totient function of $1
       property: function
       area: "number theory"
-      comments:
+      mathml:
        - "<math><msub intent='jordan-totient-function($a1)'><mi>J</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Jordan%27s_totient_function"
@@ -6502,7 +6502,7 @@ concepts:
       en: julia set of $1
       property: function
       area: "complex dynamics"
-      comments:
+      mathml:
        - "<math><mrow intent='julia-set($a1)'><mi>J</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/JuliaSet.html"
@@ -6514,7 +6514,7 @@ concepts:
       en: kaprekar constant
       property: symbol
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mn intent='kaprekar-constant'>6174</mn></math>"
       urls: 
        - "https://mathworld.wolfram.com/KaprekarConstant.html"
@@ -6527,7 +6527,7 @@ concepts:
       en: kauffman bracket of $1
       property: fenced
       area: "knot theory"
-      comments:
+      mathml:
        - "<math><mrow intent='kauffman-bracket($a1)'><mo>⟨</mo><mi arg='a1'>x</mi><mo>⟩</mo></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Bracket_polynomial"
@@ -6539,7 +6539,7 @@ concepts:
       en: $1<i>th</i> order kelvin function 
       property: function
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow><msub intent='kelvin-function($a1)'><mi>ber</mi><mi arg='a1'>v</mi></msub><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mrow></math>"
        - "<math><mrow><msub intent='kelvin-function($a1)'><mi>bei</mi><mi arg='a1'>v</mi></msub><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
@@ -6557,7 +6557,7 @@ concepts:
       en: kernel of $1
       property: function
       area: "linear algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='kernel($a1)'><mi>ker</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Kernel.html"
@@ -6578,7 +6578,7 @@ concepts:
       en: khinchin constant
       property: constant
       area: "continued fractions"
-      comments:
+      mathml:
        - "<math><mi intent='khinchin-constant'>K</mi></math>"
       notationa: "msub K 0"
       urls: 
@@ -6590,7 +6590,7 @@ concepts:
       en: killing form of $1
       property: function
       area: "lie algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='killing-form($a1)'><mi>B</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/KillingForm.html"
@@ -6603,7 +6603,7 @@ concepts:
       en: kleene star of $1
       property: msup
       area: "formal languages"
-      comments:
+      mathml:
        - "<math><msup intent='kleene-star($a1)'><mi arg='a1'>x</mi><mo>*</mo></msup></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Kleene_star"
@@ -6613,7 +6613,7 @@ concepts:
       en: kleene plus of $1
       property: msup
       area: "formal languages"
-      comments:
+      mathml:
        - "<math><msup intent='kleene-plus($a1)'><mi arg='a1'>x</mi><mo>+</mo></msup></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Kleene_star"
@@ -6623,7 +6623,7 @@ concepts:
       en: klein four group
       property: symbol
       area: "group theory"
-      comments:
+      mathml:
        - "<math><mi intent='klein-four-group'>V</mi></math>"
       notationa: "msub K 4"
       urls: 
@@ -6635,7 +6635,7 @@ concepts:
       en: kloosterman sum of $1
       property: function
       area: "analytic number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='kloosterman-sum($a1)'><mi>S</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='kloosterman-sum($a1)'><mi>K</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
       urls: 
@@ -6647,7 +6647,7 @@ concepts:
       en: kneser graph $1 $2
       property: "indexed symbol"
       area: "graph theory"
-      comments:
+      mathml:
        - "<math><mrow intent='kneser-graph($a1,$a2)'><mi>K</mi><mrow><mo>(</mo><mi arg='a1'>n</mi><mo>,</mo><mi arg='a2'>k</mi><mo>)</mo></mrow></mrow></math>"
        - "<math><msub intent='kneser-graph($a1,$a2)'><mi>KG</mi><mrow><mi arg='a1'>n</mi><mo>,</mo><mi arg='a2'>k</mi></mrow></msub></math>"
       urls: 
@@ -6659,7 +6659,7 @@ concepts:
       en: knodel number of $1
       property: "indexed symbol"
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='knodel-number($a1)'><mi>K</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/KnoedelNumbers.html"
@@ -6670,7 +6670,7 @@ concepts:
       en: kodaira dimension of $1
       property: function
       area: "algebraic geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='kodaira-dimension($a1)'><mi>κ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Kodaira_dimension"
@@ -6681,7 +6681,7 @@ concepts:
       en: kolmogorov complexity of $1
       property: function
       area: "information theory"
-      comments:
+      mathml:
        - "<math><mrow intent='kolmogorov-complexity($a1)'><mi>K</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/KolmogorovComplexity.html"
@@ -6692,7 +6692,7 @@ concepts:
       en: kolmogorov space
       property: constant
       area: "topology"
-      comments:
+      mathml:
        - "<math><msub intent='kolmogorov-space'><mi>T</mi><mn>0</mn></msub></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Separation_axiom#Main_definitions"
@@ -6702,7 +6702,7 @@ concepts:
       en: kontsevich integral of $1
       property: function
       area: "knot theory"
-      comments:
+      mathml:
        - "<math><mrow intent='kontsevich-integral($a1)'><mi>Z</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/KontsevichIntegral.html"
@@ -6715,7 +6715,7 @@ concepts:
       en: krawtchouk polynomial of $1
       property: function
       area: "orthogonal polynomials"
-      comments:
+      mathml:
        - "<math><msub intent='krawtchouk-polynomial($a1)'><mi>K</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/KrawtchoukPolynomial.html"
@@ -6728,7 +6728,7 @@ concepts:
       en: kripke frame
       property: fenced
       area: "modal logic"
-      comments:
+      mathml:
        - "<math><mrow intent='kripke-frame($a1,$a2)'><mo>⟨</mo><mi arg='a1'>x</mi><mo>,</mo><mi arg='a2'>y</mi><mo>⟩</mo></mrow></math>"
       urls: 
        - "https://ncatlab.org/nlab/show/Kripke+frame"
@@ -6738,7 +6738,7 @@ concepts:
       en: kronecker delta
       property: "indexed function"
       area: "special functions"
-      comments:
+      mathml:
        - "<math><msub intent='kronecker-delta($a1,$a2)'><mi>δ</mi><mrow><mi arg='a1'>i</mi><mi arg='a2'>j</mi></mrow></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/KroneckerDelta.html"
@@ -6751,7 +6751,7 @@ concepts:
       en: $1 kronecker product $2
       property: infix
       area: "matrix theory"
-      comments:
+      mathml:
        - "<math><mrow intent='kronecker-product($a1,$a2)'><mi arg='a1'>X</mi><mo>⊗</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/KroneckerProduct.html"
@@ -6765,7 +6765,7 @@ concepts:
       en: kronecker symbol
       property: fenced, fenced stacked
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='kronecker-symbol($a1,$a2)'><mo>(</mo><mi arg='a1'>x</mi><mo>|</mo><mi arg='a2'>y</mi><mo>)</mo></mrow></math>"
        - "<math><mrow intent='kronecker-symbol($a1,$a2)'><mo>(</mo><mfrac><mi arg='a1'>x</mi><mi arg='a2'>y</mi></mfrac><mo>)</mo></mrow></math>"
       urls: 
@@ -6778,7 +6778,7 @@ concepts:
       en: krull dimension of $1
       property: function
       area: "commutative algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='krull-dimension($a1)'><mi>dim</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/KrullDimension.html"
@@ -6790,7 +6790,7 @@ concepts:
       en: kulkarni nomizu product of $1 and $2
       property: embellished infix
       area: "differential geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='kulkarni-nomizu-product($a1)'><mi arg='a1'>h</mi><menclose notation='circle'><mo>∧</mo></menclose><mi arg='a2'>k</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Kulkarni%E2%80%93Nomizu_product"
@@ -6800,7 +6800,7 @@ concepts:
       en: kullback leibler distance of $1
       property: function
       area: "mathematical statistics"
-      comments:
+      mathml:
        - "<math><mrow intent='kullback-leibler-distance($a1)'><mi>KL</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
       notationa: "msub D KL"
       urls: 
@@ -6817,7 +6817,7 @@ concepts:
       en: "lagrange bracket of $1, $2, canonical coordinates $3, $4"
       property: indexed fenced
       area: "classical mechanics"
-      comments:
+      mathml:
        - "<math><msub intent='lagrange-bracket($1,$2,$3,$4)'><mrow><mo>[</mo><mi>u</mi><mo>,</mo><mi>v</mi><mo>]</mo></mrow><mrow><mi>p</mi><mo>,</mo><mi>q</mi></mrow></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/LagrangeBracket.html"
@@ -6829,7 +6829,7 @@ concepts:
       en: lagrange multiplier
       property: symbol
       area: "mathematical optimization"
-      comments:
+      mathml:
        - "<math><mi intent='lagrange-multiplier'>λ</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/LagrangeMultiplier.html"
@@ -6844,7 +6844,7 @@ concepts:
       en: lagrange point
       property: symbol
       area: "celestial mechanics"
-      comments:
+      mathml:
        - "<math><msub intent='lagrange-point'><mi>L</mi><mn>1</mn></msub></math>"
        - "<math><msub intent='lagrange-point'><mi>L</mi><mn>2</mn></msub></math>"
        - "<math><msub intent='lagrange-point'><mi>L</mi><mn>3</mn></msub></math>"
@@ -6862,7 +6862,7 @@ concepts:
       en: laguerre polynomial of $1
       property: "indexed function"
       area: "orthogonal polynomials"
-      comments:
+      mathml:
        - "<math><mrow intent='laguerre-polynomial($a1)'><mi>L</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/LaguerrePolynomial.html"
@@ -6877,7 +6877,7 @@ concepts:
       en: landau constant
       property: constant
       area: "complex analysis"
-      comments:
+      mathml:
        - "<math><mi intent='landau-constant'>A</mi></math>"
        - "<math><mi intent='landau-constant'>B</mi></math>"
        - "<math><mi intent='landau-constant'>L</mi></math>"
@@ -6890,7 +6890,7 @@ concepts:
       en: laplace operator of $1
       property: "embellished operator"
       area: "differential operators"
-      comments:
+      mathml:
        - "<math><mrow intent='laplace-operator($a1)'><msup><mo>∇</mo><mn>2</mn></msup><mi arg='a1'>f</mi></mrow></math>"
        - "<math><mrow intent='laplace-operator($a1)'><mo>∇</mo><mo>·</mo><mo>∇</mo><mi arg='a1'>f</mi></mrow></math>"
        - "<math><mrow intent='laplace-operator($a1)'><mi>Δ</mi><mrow><mo>(</mo><mi arg='a1'>f</mi><mo>)</mo></mrow></mrow></math>"
@@ -6904,7 +6904,7 @@ concepts:
       en: laplace transform of $1
       property: operator
       area: "integral transforms"
-      comments:
+      mathml:
        - "<math><mrow intent='laplace-transform($a1)'><mi>ℒ⁡</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/LaplaceTransform.html"
@@ -6917,7 +6917,7 @@ concepts:
       en: laplacian matrix
       property: symbol
       area: "graph theory"
-      comments:
+      mathml:
        - "<math><mi intent='laplacian-matrix'>L</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/LaplacianMatrix.html"
@@ -6928,7 +6928,7 @@ concepts:
       en: latin rectangle $1
       property: mtable
       area: "combinatorial mathematics"
-      comments:
+      mathml:
        - "<math><mrow intent='latin-rectangle($a1)'><mtable arg='a1'><mtr><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>2</mn></mtd><mtd><mn>3</mn></mtd><mtd><mn>4</mn></mtd></mtr><mtr><mtd><mn>3</mn></mtd><mtd><mn>4</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>4</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>3</mn></mtd><mtd><mn>2</mn></mtd><mtd><mn>1</mn></mtd></mtr></mtable></mrow></math>"
 
       urls: 
@@ -6941,7 +6941,7 @@ concepts:
       en: latin square $1
       property: mtable
       area: "combinatorial mathematics"
-      comments:
+      mathml:
        - "<math><mrow intent='latin-square($a1)'><mtable arg='a1'><mtr><mtd><mi>A</mi></mtd><mtd><mi>B</mi></mtd><mtd><mi>C</mi></mtd></mtr><mtr><mtd><mi>C</mi></mtd><mtd><mi>A</mi></mtd><mtd><mi>B</mi></mtd></mtr><mtr><mtd><mi>B</mi></mtd><mtd><mi>C</mi></mtd><mtd><mi>A</mi></mtd></mtr></mtable></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/LatinSquare.html"
@@ -6955,7 +6955,7 @@ concepts:
       en: least prime factor of $1
       property: function
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='least-prime-factor($a1)'><mi>lpf</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/LeastPrimeFactor.html"
@@ -6965,7 +6965,7 @@ concepts:
       en: lebesgue constant of $1
       property: indexed constant
       area: "fourier series"
-      comments:
+      mathml:
        - "<math><msub intent='lebesgue-constant($a1)'><mi>L</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/LebesgueConstants.html"
@@ -6978,7 +6978,7 @@ concepts:
       en: lebesgue integral of $1
       property: indexed
       area: "measure theory"
-      comments:
+      mathml:
        - "<math><mrow intent='lebesgue-integral($a1)'><mo>∫</mo><mi arg='a1'>f</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/LebesgueIntegral.html"
@@ -6989,7 +6989,7 @@ concepts:
       en: leech lattice
       property: symbol
       area: "group theory"
-      comments:
+      mathml:
        - "<math><msub intent='leech-lattice'><mo>Λ</mo><mn>24</mn></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/LeechLattice.html"
@@ -7001,7 +7001,7 @@ concepts:
       en: $1 left adjoint $2
       property: infix
       area: "category theory"
-      comments:
+      mathml:
        - "<math><mrow intent='left-adjoint($a1,$a2)'><mi arg='a1'>X</mi><mo>⊣</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Adjoint_functors"
@@ -7011,7 +7011,7 @@ concepts:
       en: $1 left composition $2
       property: infix
       area: "algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='left-composition($a1,$a2)'><mi arg='a1'>X</mi><mo>;</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Composition_of_relations"
@@ -7023,7 +7023,7 @@ concepts:
       en: left derivative of $1
       property: operator
       area: "calculus"
-      comments:
+      mathml:
        - "<math><msub intent='left-derivative($a1)'><mo>∂</mo><mo>−</mo></msub><mi arg='a1'>f</mi></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Left_and_right_derivative"
@@ -7033,7 +7033,7 @@ concepts:
       en: legendre chi function of $1
       property: "indexed function"
       area: "special functions"
-      comments:
+      mathml:
        - "<math><msub intent='legendre-chi-function($a1)'><mi>χ</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Legendre_chi_function"
@@ -7044,7 +7044,7 @@ concepts:
       en: legendre polynomial of $1
       property: function
       area: "orthogonal polynomials"
-      comments:
+      mathml:
        - "<math><msub intent='legendre-polynomial($a1)'><mi>P</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/LegendrePolynomial.html"
@@ -7058,7 +7058,7 @@ concepts:
       en: legendre symbol
       property: fenced, fenced stacked
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='legendre-symbol($a1,$a2)'><mo>(</mo><mi arg='a1'>a</mi><mo>|</mo><mi arg='a2'>p</mi><mo>)</mo></mrow></math>"
        - "<math><mrow intent='legendre-symbol($a1,$a2)'><mo>(</mo><mfrac><mi arg='a1'>a</mi><mi arg='a2'>p</mi></mfrac><mo>)</mo></mrow></math>"
       urls: 
@@ -7071,7 +7071,7 @@ concepts:
       en: lehmer mean of $1
       property: "indexed function"
       area: "means"
-      comments:
+      mathml:
        - "<math><msub intent='lehmer-mean($a1)'><mi>L</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/LehmerMean.html"
@@ -7082,7 +7082,7 @@ concepts:
       en: lehmer number of $1
       property: "indexed function"
       area: "number theory"
-      comments:
+      mathml:
        - "<math><msub intent='lehmer-number($a1)'><mi>U</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/LehmerNumber.html"
@@ -7094,7 +7094,7 @@ concepts:
       en: level of $1
       property: function
       area: "scales of measurement"
-      comments:
+      mathml:
        - "<math><msub intent='level($a1)'><mi>L</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Level_(logarithmic_quantity)"
@@ -7106,7 +7106,7 @@ concepts:
       en: levi civita symbol  of $1, $2 and $3
       property: "indexed symbol"
       area: "combinatorics"
-      comments:
+      mathml:
        - "<math><msub intent='levi-civita-symbol($1,$2,$3)'><mi>&#x03f5;</mi><mrow><mi arg='a1'>i</mi><mi arg='a2'>j</mi><mi arg='a3'>k</mi></mrow></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/Levi-CivitaSymbol.html"
@@ -7120,7 +7120,7 @@ concepts:
       en: levy prokhorov metric of $1
       property: function
       area: "measure theory"
-      comments:
+      mathml:
        - "<math><mrow intent='levy-prokhorov-metric($a1)'><mi>π</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/L%C3%A9vy%E2%80%93Prokhorov_metric"
@@ -7131,7 +7131,7 @@ concepts:
       en: $1 lexicographic product $2
       property: infix, mixfix
       area: "graph theory"
-      comments:
+      mathml:
        - "<math><mrow intent='lexicographic-product($a1,$a2)'><mi arg='a1'>G</mi><mo>∙</mo><mi arg='a2'>H</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Lexicographic_product_of_graphs"
@@ -7143,7 +7143,7 @@ concepts:
       en: $1 lexicographic order $2
       property: infix
       area: "discrete mathematics"
-      comments:
+      mathml:
        - "<math><mrow intent='lexicographic-order($a1,$a2)'><mi arg='a1'>X</mi><mo>&lt;</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Lexicographic_order"
@@ -7157,7 +7157,7 @@ concepts:
       en: lie derivative of $1
       property: "indexed operator"
       area: "lie algebra"
-      comments:
+      mathml:
        - "<math><msub intent='lie-derivative($a1)'><mi>ℒ</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/LieDerivative.html"
@@ -7169,7 +7169,7 @@ concepts:
       en: lie superbracket
       property: fenced
       area: "lie algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='lie-superbracket($a1,$a2)'><mo>[</mo><mi arg='a1'>x</mi><mo>,</mo><mi arg='a2'>y</mi><mo>]</mo></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Lie_superalgebra"
@@ -7181,7 +7181,7 @@ concepts:
       en: $1 like charge $2
       property: infix
       area: "physics"
-      comments:
+      mathml:
        - "<math><mrow intent='like-charge($a1,$a2)'><mi arg='a1'>X</mi><mo>⇈</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://youtu.be/HZ7a9YkF204?t=4719"
@@ -7191,7 +7191,7 @@ concepts:
       en: line graph of $1
       property: function
       area: "graph theory"
-      comments:
+      mathml:
        - "<math><mrow intent='line-graph($a1)'><mi>L</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/LineGraph.html"
@@ -7202,7 +7202,7 @@ concepts:
       en: line integral of $1
       property: indexed
       area: "analysis"
-      comments:
+      mathml:
        - "<math><mrow intent='line-integral($a1)'><mo>∫</mo><mi arg='a1'>f</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/LineIntegral.html"
@@ -7219,7 +7219,7 @@ concepts:
       en: linear span of $1
       property: function
       area: "linear algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='linear-span($a1)'><mi>span</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/LinearSpan.html"
@@ -7233,7 +7233,7 @@ concepts:
       en: link of $1
       property: function
       area: "graph theory"
-      comments:
+      mathml:
        - "<math><mrow intent='link($a1)'><mi>Lk</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Link.html"
@@ -7243,7 +7243,7 @@ concepts:
       en: gunter link of $1
       property: unit
       area: "units"
-      comments:
+      mathml:
        - "<math><mrow intent='gunter-link($a1)'><mi>l.</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='gunter-link($a1)'><mi>li.</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='gunter-link($a1)'><mi>lnk.</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
@@ -7255,7 +7255,7 @@ concepts:
       en: liouville constant
       property: constant
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mi intent='liouville-constant'>L</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/LiouvillesConstant.html"
@@ -7267,7 +7267,7 @@ concepts:
       en: liouville function of $1
       property: function
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='liouville-function($a1)'><mi>λ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/LiouvilleFunction.html"
@@ -7279,7 +7279,7 @@ concepts:
       en: localization of $2 by $1
       property: mixfix
       area: "module theory"
-      comments:
+      mathml:
        - "<math><mrow intent='localization($a1,$a2)'><msup><mi arg='a1'>S</mi><mn>−1</mn></msup><mi arg='a2'>R</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Localization.html"
@@ -7293,7 +7293,7 @@ concepts:
       en: logarithmic integral of $1
       property: function
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='logarithmic-integral($a1)'><mi>li</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/LogarithmicIntegral.html"
@@ -7305,7 +7305,7 @@ concepts:
       en: $1<i>th</i> logarithmic moment of $2
       property: "mixfix"
       area: "mathematics"
-      comments:
+      mathml:
        - "<math><mrow intent='logarithmic-moment-of-function($a1,$a2)'><mi>E</mi><mrow><mo>[</mo><msup><mi>ln</mi><mi arg='a1'>n</mi></msup><mrow><mo>(</mo><mi arg='a2'>X</mi><mo>)</mo></mrow><mo>]</mo></mrow></mrow></math>"
       notation: "E [ msup ln $1 /msup ( $2 ) ]"
       urls: 
@@ -7318,7 +7318,7 @@ concepts:
       en: logit of $1
       property: function
       area: "statistics"
-      comments:
+      mathml:
        - "<math><mrow intent='logit($a1)'><mi>logit</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Logit"
@@ -7328,7 +7328,7 @@ concepts:
       en: $1 ,$2 lommel function
       property: "indexed function"
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='lommel-function($a1,$a2)'><msub><mi>s</mi><mrow><mo>(</mo><mi arg='a1'>u</mi><mi arg='a2'>v</mi></mrow></msub><mrow><mo>(</mo><mi>z</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/LommelFunction.html"
@@ -7353,7 +7353,7 @@ concepts:
       en: loop space of $1
       property: function
       area: "topology"
-      comments:
+      mathml:
        - "<math><mrow intent='loop-space($a1)'><mi>Ω</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/LoopSpace.html"
@@ -7365,7 +7365,7 @@ concepts:
       en: lower closure poset of $1
       property: prefix
       area: "order theory"
-      comments:
+      mathml:
        - "<math><mrow intent='lower-closure-poset($a1)'><mo>↓</mo><mi arg='a1'>x</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Upper_set#Upper_closure_and_lower_closure"
@@ -7375,7 +7375,7 @@ concepts:
       en: lower darboux integral of $1
       property: indexed
       area: "real analysis"
-      comments:
+      mathml:
        - "<math><mrow intent='lower-darboux-integral($a1)'><munder><munderover><mo>∫</mo><mi>a</mi><mi>b</mi></munderover><mo>_</mo></munder><mi arg='a1'>f</mi></mrow></math>"
       notation: "munder ¯"
       urls: 
@@ -7388,7 +7388,7 @@ concepts:
       en: lower dini derivative of $1
       property: decorated function
       area: "analysis"
-      comments:
+      mathml:
        - "<math><mrow intent='lower-dini-derivative($a1)'><msub><msup><mi arg='a1'>f</mi><mo>′</mo></msup><mo>-</mo></msub><mrow><mo>(</mo><mi>t</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/DiniDerivative.html"
@@ -7400,7 +7400,7 @@ concepts:
       en: lower shadow of $1
       property: function
       area: "combinatorics"
-      comments:
+      mathml:
        - "<math><mrow intent='lower-shadow($a1)'><mi>𝜕</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
       notationa: "msub 𝜕 -"
       urls: 
@@ -7413,7 +7413,7 @@ concepts:
       en: lucas number of $1
       property: "indexed symbol"
       area: "integer sequences"
-      comments:
+      mathml:
        - "<math><msub intent='lucas-number($a1)'><mi>L</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/LucasNumber.html"
@@ -7425,7 +7425,7 @@ concepts:
       en: lucas sequence of $1
       property: "indexed function"
       area: "integer sequences"
-      comments:
+      mathml:
        - "<math><msub intent='lucas-sequence($a1)'><mi>U</mi><mi arg='a1'>x</mi></msub></math>"
        - "<math><msub intent='lucas-sequence($a1)'><mi>V</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
@@ -7437,7 +7437,7 @@ concepts:
       en: lyapunov candidate function of $1
       property: function
       area: "stability theory"
-      comments:
+      mathml:
        - "<math><mrow intent='lyapunov-candidate-function($a1)'><mi>V</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/LyapunovFunction.html"
@@ -7451,7 +7451,7 @@ concepts:
       en: macdonald polynomial of $1
       property: function
       area: "orthogonal polynomials"
-      comments:
+      mathml:
        - "<math><mrow intent='macdonald-polynomial($a1)'><msub><mi>P</mi><mi>λ</mi></msub><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>;</mo><mi>t</mi><mo>,</mo><mi>q</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Macdonald_polynomials"
@@ -7462,7 +7462,7 @@ concepts:
       en: mahler measure of $1
       property: function
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='mahler-measure($a1)'><mi>M</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/MahlerMeasure.html"
@@ -7474,7 +7474,7 @@ concepts:
       en: mangoldt function of $1
       property: function
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='mangoldt-function($a1)'><mi>Λ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/MangoldtFunction.html"
@@ -7488,7 +7488,7 @@ concepts:
       en: mapping class group of $1
       property: function
       area: "geometric topology"
-      comments:
+      mathml:
        - "<math><mrow intent='mapping-class-group($a1)'><mi>MCG</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Mapping_class_group"
@@ -7499,7 +7499,7 @@ concepts:
       en: mapping cone of $1
       property: "indexed symbol"
       area: "homotopy theory"
-      comments:
+      mathml:
        - "<math><msub intent='mapping-cone($a1)'><mi>C</mi><mi arg='a1'>x</mi></msub></math>"
       notationa: "mrow C $1"
       urls: 
@@ -7514,7 +7514,7 @@ concepts:
       en: matching polynomial of $1
       property: "indexed function"
       area: "graph theory"
-      comments:
+      mathml:
        - "<math><msub intent='matching-polynomial($a1)'><mi>m</mi><mi arg='a1'>x</mi></msub></math>"
        - "<math><msub intent='matching-polynomial($a1)'><mi>M</mi><mi arg='a1'>x</mi></msub></math>"
        - "<math><msub intent='matching-polynomial($a1)'><mi>μ</mi><mi arg='a1'>x</mi></msub></math>"
@@ -7526,7 +7526,7 @@ concepts:
       en: mathieu function of first kind of $1
       property: "indexed function"
       area: "special functions"
-      comments:
+      mathml:
        - "<math><msub intent='mathieu-function-of-first-kind($a1)'><mi>ce</mi><mi arg='a1'>x</mi></msub></math>"
        - "<math><msub intent='mathieu-function-of-first-kind($a1)'><mi>se</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
@@ -7551,7 +7551,7 @@ concepts:
       en: mathieu function of second kind of $1
       property: "indexed function"
       area: "special functions"
-      comments:
+      mathml:
        - "<math><msub intent='mathieu-function-of-second-kind($a1)'><mi>fe</mi><mi arg='a1'>x</mi></msub></math>"
        - "<math><msub intent='mathieu-function-of-second-kind($a1)'><mi>ge</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
@@ -7576,7 +7576,7 @@ concepts:
       en: mathieu group $1
       property: "indexed symbol"
       area: "group theory"
-      comments:
+      mathml:
        - "<math><msub intent='mathieu-group($a1)'><mi>M</mi><mn arg='a1'>11</mn></msub></math>"
        - "<math><msub intent='mathieu-group($a1)'><mi>M</mi><mn arg='a1'>12</mn></msub></math>"
        - "<math><msub intent='mathieu-group($a1)'><mi>M</mi><mn arg='a1'>22</mn></msub></math>"
@@ -7599,7 +7599,7 @@ concepts:
       en: matrix $1
       property: mtable, fenced
       area: "algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='matrix($a1)'><mo>(</mo><mtable arg='a1'><mtr><mtd><mtext>...</mtext></mtd></mtr><mtr><mtd><mtext>...</mtext></mtd></mtr></mtable><mo>)</mo></mrow></math>"
        - "<math><mrow intent='matrix($a1)'><mo>[</mo><mtable arg='a1'><mtr><mtd><mtext>...</mtext></mtd></mtr><mtr><mtd><mtext>...</mtext></mtd></mtr></mtable><mo>]</mo></mrow></math>"
       urls: 
@@ -7618,7 +7618,7 @@ concepts:
       en: matrix ring of $1
       property: function
       area: "abstract algebra"
-      comments:
+      mathml:
        - "<math><msub intent='matrix-ring($a1)'><mi>M</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Matrix_ring"
@@ -7629,7 +7629,7 @@ concepts:
       en: maximum degree of $1
       property: function
       area: "graph theory"
-      comments:
+      mathml:
        - "<math><mrow intent='maximum-degree($a1)'><mi>Δ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/MaximumDegree.html"
@@ -7641,7 +7641,7 @@ concepts:
       en: mean curvature of $1
       property: function
       area: "differential geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='mean-curvature($a1)'><mi>H</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/MeanCurvature.html"
@@ -7653,7 +7653,7 @@ concepts:
       en: mean squared error of $1
       property: function
       area: "statistics"
-      comments:
+      mathml:
        - "<math><mrow intent='mean-squared-error($a1)'><mi>MSE</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Mean_squared_error"
@@ -7663,7 +7663,7 @@ concepts:
       en: meixner pollaczek polynomial of $1
       property: "indexed function"
       area: "orthogonal polynomials"
-      comments:
+      mathml:
        - "<math><mrow intent='meixner-pollaczek-polynomial($a1)'><mi>P</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Meixner-PollaczekPolynomial.html"
@@ -7675,7 +7675,7 @@ concepts:
       en: mellin transform of $1
       property: operator
       area: "integral transforms"
-      comments:
+      mathml:
        - "<math><mrow intent='mellin-transform($a1)'><mi>ℳ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/MellinTransform.html"
@@ -7688,7 +7688,7 @@ concepts:
       en: meridian radius of curvature of $1
       property: function
       area: "geodesy"
-      comments:
+      mathml:
        - "<math><mrow intent='meridian-radius-of-curvature($a1)'><mi>M</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Meridian_arc"
@@ -7699,7 +7699,7 @@ concepts:
       en: meridian distance of $1
       property: function
       area: "geodesy"
-      comments:
+      mathml:
        - "<math><mrow intent='meridian-distance($a1)'><mi>m</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Meridian.html"
@@ -7709,7 +7709,7 @@ concepts:
       en: mersenne number of $1
       property: "indexed symbol"
       area: "number theory"
-      comments:
+      mathml:
        - "<math><msub intent='mersenne-number($a1)'><mi>M</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/MersenneNumber.html"
@@ -7720,7 +7720,7 @@ concepts:
       en: mersenne prime of $1
       property: "indexed symbol"
       area: "number theory"
-      comments:
+      mathml:
        - "<math><msub intent='mersenne-prime($a1)'><mi>M</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/MersennePrime.html"
@@ -7732,7 +7732,7 @@ concepts:
       en: merten function of $1
       property: function
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='merten-function($a1)'><mi>M</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/MertensFunction.html"
@@ -7752,7 +7752,7 @@ concepts:
       en: metaplectic group
       property: symbol
       area: "group theory"
-      comments:
+      mathml:
        - "<math><mrow intent='metaplectic-group($a1)'><msub><mi>Mp</mi><mrow><mn>2</mn><mi>n</mi></mrow></msub><mrow><mo>(</mo><mi arg='a1'>R</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/MetaplecticGroup.html"
@@ -7764,7 +7764,7 @@ concepts:
       en: mills constant
       property: symbol
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mi intent='mills-constant'>A</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/MillsConstant.html"
@@ -7776,7 +7776,7 @@ concepts:
       en: mills ratio of $1
       property: function
       area: "probability theory"
-      comments:
+      mathml:
        - "<math><mrow intent='mills-ratio($a1)'><mi>m</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='mills-ratio($a1)'><mi>M</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
       urls: 
@@ -7789,7 +7789,7 @@ concepts:
       en: minimum degree of $1
       property: function
       area: "graph theory"
-      comments:
+      mathml:
        - "<math><mrow intent='minimum-degree($a1)'><mi>δ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/MinimumDegree.html"
@@ -7801,7 +7801,7 @@ concepts:
       en: $1 minkowski difference $2
       property: infix
       area: "geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='minkowski-difference($a1,$a2)'><mi arg='a1'>X</mi><mo>-</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Minkowski_addition"
@@ -7813,7 +7813,7 @@ concepts:
       en: $1 minkowski sum $2
       property: infix
       area: "geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='minkowski-sum($a1,$a2)'><mi arg='a1'>X</mi><mo>+</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/MinkowskiSum.html"
@@ -7826,7 +7826,7 @@ concepts:
       en: mittag leffler function of $1
       property: "indexed function"
       area: "special functions"
-      comments:
+      mathml:
        - "<math><msub intent='mittag-leffler-function($a1)'><mi>E</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/Mittag-LefflerFunction.html"
@@ -7839,7 +7839,7 @@ concepts:
       en: mobius function of $1
       property: function
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='mobius-function($a1)'><mi>μ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/MoebiusFunction.html"
@@ -7853,7 +7853,7 @@ concepts:
       en: modified bessel function of first kind of $1
       property: function
       area: "special functions"
-      comments:
+      mathml:
        - "<math><msub intent='modified-bessel-function-of-first-kind($a1)'><mi>I</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://dlmf.nist.gov/10#PT3"
@@ -7865,7 +7865,7 @@ concepts:
       en: modified bessel function of second kind of $1
       property: function
       area: "special functions"
-      comments:
+      mathml:
        - "<math><msub intent='modified-bessel-function-of-second-kind($a1)'><mi>K</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://dlmf.nist.gov/10#PT3"
@@ -7877,7 +7877,7 @@ concepts:
       en: modified mathieu function of $1
       property: function
       area: "special functions"
-      comments:
+      mathml:
        - "<math><msub intent='modified-mathieu-function($a1)'><mi>Ce</mi><mi arg='a1'>x</mi></msub></math>"
        - "<math><msub intent='modified-mathieu-function($a1)'><mi>Se</mi><mi arg='a1'>x</mi></msub></math>"
        - "<math><msub intent='modified-mathieu-function($a1)'><mi>Me</mi><mi arg='a1'>x</mi></msub></math>"
@@ -7901,7 +7901,7 @@ concepts:
       en: modified spherical bessel function of $1
       property: function
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='modified-spherical-bessel-function($a1)'><msubsup><mi>i</mi><mi>n</mi><mrow><mo>(</mo><mn>1</mn><mo>)</mo></mrow></msubsup><mrow><mo>(</mo><mi arg='a1'>z</mi><mo>)</mo></mrow></mrow></math>"
        - "<math><mrow intent='modified-spherical-bessel-function($a1)'><msubsup><mi>i</mi><mi>n</mi><mrow><mo>(</mo><mn>2</mn><mo>)</mo></mrow></msubsup><mrow><mo>(</mo><mi arg='a1'>z</mi><mo>)</mo></mrow></mrow></math>"
        - "<math><mrow intent='modified-spherical-bessel-function($a1)'><msub><mi>k</mi><mi>n</mi></msub><mrow><mo>(</mo><mi arg='a1'>z</mi><mo>)</mo></mrow></mrow></math>"
@@ -7916,7 +7916,7 @@ concepts:
       en: modified struve function of $1
       property: function
       area: "special functions"
-      comments:
+      mathml:
        - "<math><msub intent='modified-struve-function($a1)'><mi>L</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/ModifiedStruveFunction.html"
@@ -7928,7 +7928,7 @@ concepts:
       en: modular discriminant of $1
       property: operator
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='modular-discriminant($a1)'><mi>Δ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/ModularDiscriminant.html"
@@ -7939,7 +7939,7 @@ concepts:
       en: $1 modulo $2
       property: infix, mixfix
       area: "modular arithmetic"
-      comments:
+      mathml:
        - "<math><mrow intent='modulo($a1,$a2)'><mi arg='a1'>x</mi><mrow><mspace width='1em'/><mo>(</mo><mi>mod</mi><mi arg='a2'>p</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Modulo.html"
@@ -7954,7 +7954,7 @@ concepts:
       en: moebius function of $1
       property: function
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='moebius-function($a1)'><mi>μ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://www.encyclopediaofmath.org/index.php/Moebius_function"
@@ -7965,7 +7965,7 @@ concepts:
       en: $1<i>th</i> moment 
       property: "msub, mixfix"
       area: "mathematics"
-      comments:
+      mathml:
        - "<math><mrow intent='moment-of-function($a1)'><msub><mi>μ</mi><mi arg='a1'>n</mi></msub></mrow></math>"
       notationa: "mrow E [ msup $1 $2 ]"
       urls: 
@@ -7978,7 +7978,7 @@ concepts:
       en: moment
       property: symbol
       area: "mechanics"
-      comments:
+      mathml:
        - "<math><mi intent='moment'>M</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/Moment.html"
@@ -7992,7 +7992,7 @@ concepts:
       en: moment of inertia
       property: symbol
       area: "physics"
-      comments:
+      mathml:
        - "<math><mi intent='moment-of-inertia'>I</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/MomentofInertia.html"
@@ -8008,7 +8008,7 @@ concepts:
       en: momentum
       property: symbol
       area: "mechanics"
-      comments:
+      mathml:
        - "<math><mi intent='momentum'>p</mi></math>"
        - "<math><mi intent='momentum'>mip</mi></math>"
       urls: 
@@ -8023,7 +8023,7 @@ concepts:
       en: monster group
       property: symbol
       area: "group theory"
-      comments:
+      mathml:
        - "<math><mi intent='monster-group'>M</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/MonsterGroup.html"
@@ -8037,7 +8037,7 @@ concepts:
       en: moore penrose inverse of $1
       property: msup
       area: "linear algebra"
-      comments:
+      mathml:
        - "<math><msup intent='moore-penrose-inverse($a1)'><mi arg='a1'>X</mi><mo>+</mo></msup></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Moore%E2%80%93Penrose_inverse"
@@ -8049,7 +8049,7 @@ concepts:
       en: moore smith sequence of $1
       property: fenced
       area: "topology"
-      comments:
+      mathml:
        - "<math><msub intent='moore-smith-sequence($a1)'><mrow><mo>(</mo><msub><mi arg='a1'>x</mi><mi>a</mi></msub><mo>)</mo></mrow><mrow><mi>a</mi><mo>∈</mo><mi>A</mi></mrow></msub></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Moore%E2%80%93Smith_limit"
@@ -8062,7 +8062,7 @@ concepts:
       en: motzkin number of $1
       property: "indexed symbol"
       area: "combinatorial analysis"
-      comments:
+      mathml:
        - "<math><msub intent='motzkin-number($a1)'><mi>M</mi><mi arg='a1'>x</mi></msub></math>"
        - "<math><mrow intent='motzkin-number($a1)'><mi>M</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
@@ -8076,7 +8076,7 @@ concepts:
       en: multiple integral of $1
       property: indexed
       area: "multivariable calculus"
-      comments:
+      mathml:
        - "<math><mrow intent='multiple-integral($a1)'><mrow><mo>∫</mo><mo>⋯</mo><mo>∫</mo></mrow><mi arg='a1'>f</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/MultipleIntegral.html"
@@ -8089,7 +8089,7 @@ concepts:
       en: multiplicative inverse of $1
       property: msup, mixfix
       area: "abstract algebra"
-      comments:
+      mathml:
        - "<math><msup intent='multiplicative-inverse($a1)'><mi arg='a1'>x</mi><mn>-1</mn></msup></math>"
        - "<math><mrow intent='multiplicative-inverse($a1)'><mn>1</mn><mo>/</mo><mi arg='a1'>x</mi></mrow></math>"
       urls: 
@@ -8107,7 +8107,7 @@ concepts:
       en: multiplicative order of $1
       property: "indexed function"
       area: "modular arithmetic"
-      comments:
+      mathml:
        - "<math><msub intent='multiplicative-order($a1)'><mi>O</mi><mi arg='a1'>x</mi></msub></math>"
        - "<math><msub intent='multiplicative-order($a1)'><mi>ord</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
@@ -8119,7 +8119,7 @@ concepts:
       en: multiplier algebra of $1
       property: function
       area: "functional analysis"
-      comments:
+      mathml:
        - "<math><mrow intent='multiplier-algebra($a1)'><mi>M</mi><mrow><mo>(</mo><mi arg='a1'>A</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/MultiplierAlgebra.html"
@@ -8131,7 +8131,7 @@ concepts:
       en: multichoose
       property: fenced-stacked
       area: "combinatorics"
-      comments:
+      mathml:
        - "<math><mrow intent='multichoose($a1,$a2)'><mo style='font-weight:bold'>(</mo><mfrac linethickness='0pt'><mi arg='a1'>m</mi><mi arg='a2'>n</mi></mfrac><mo style='font-weight:bold'>)</mo></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Multiset.html"
@@ -8141,7 +8141,7 @@ concepts:
       en: multiset coefficient
       property: fenced-stacked
       area: "combinatorics"
-      comments:
+      mathml:
        - "<math><mrow intent='multiset-coefficient($a1,$a2)'><mo>⦅</mo><mfrac linethickness='0pt'><mi arg='a1'>n</mi><mi arg='a2'>n</mi></mfrac><mo>⦆</mo></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Multiset"
@@ -8153,7 +8153,7 @@ concepts:
       en: multivariate gaussian distribution
       property: symbol
       area: "probability theory"
-      comments:
+      mathml:
        - "<math><msub intent='multivariate-gaussian-distribution($a1)'><mi>𝒩</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Multivariate_normal_distribution"
@@ -8166,7 +8166,7 @@ concepts:
       en: mutation
       property: msup
       area: "abstract algebra"
-      comments:
+      mathml:
        - "<math><msub intent='mutation($a1,$a2)'><mi arg='a1'>A</mi><mi arg='a2'>y</mi></msub></math>"
       notation: "msup $1 $2"
       urls: 
@@ -8184,7 +8184,7 @@ concepts:
       en: mutual information of $1
       property: function
       area: "information theory"
-      comments:
+      mathml:
        - "<math><mrow intent='mutual-information($a1)'><mi>I</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/MutualInformation.html"
@@ -8195,7 +8195,7 @@ concepts:
       en: narayana number
       property: function
       area: "combinatorial analysis"
-      comments:
+      mathml:
        - "<math><mrow intent='narayana-number($a1,$a2)'><mi>N</mi><mrow><mo>(</mo><mi arg='a1'>n</mi><mo>,</mo><mi arg='a2'>k</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/NarayanaNumber.html"
@@ -8207,7 +8207,7 @@ concepts:
       en: narrow denjoy integral of $1
       property: indexed
       area: "calculus"
-      comments:
+      mathml:
        - "<math><mrow intent='narrow-denjoy-integral($a1)'><mo>∫</mo><mi arg='a1'>f</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/DenjoyIntegral.html"
@@ -8223,7 +8223,7 @@ concepts:
       en: negative binomial distribution
       property: symbol
       area: "probability theory"
-      comments:
+      mathml:
        - "<math><mi intent='negative-binomial-distribution'>NB</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/NegativeBinomialDistribution.html"
@@ -8235,7 +8235,7 @@ concepts:
       en: negative hypergeometric distribution of $1
       property: "indexed symbol"
       area: "probability theory"
-      comments:
+      mathml:
        - "<math><mrow intent='negative-hypergeometric-distribution($a1)'><mi>NHG</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Negative_hypergeometric_distribution"
@@ -8246,7 +8246,7 @@ concepts:
       en: neighbourhood of $2 in $1
       property: "indexed function, function"
       area: "graph theory"
-      comments:
+      mathml:
        - "<math><mrow intent='neighbourhood($a1,$a2)'><msub><mi>N</mi><mi arg='a2'>v</mi></msub><mrow><mo>(</mo><mi arg='a1'>G</mi><mo>)</mo></mrow></mrow></math>"
       notation: "msub N $1 ( $2 )"
       notationa: "mrow N ( $1"
@@ -8260,7 +8260,7 @@ concepts:
       en: neighbourhood filter of $1
       property: function
       area: "topology"
-      comments:
+      mathml:
        - "<math><mrow intent='neighbourhood-filter($a1)'><mi>𝒩</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Neighbourhood_system"
@@ -8273,7 +8273,7 @@ concepts:
       en: neron severi group of $1
       property: function
       area: "group theory"
-      comments:
+      mathml:
        - "<math><mrow intent='neron-severi-group($a1)'><mi>NS</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Neron-SeveriGroup.html"
@@ -8284,7 +8284,7 @@ concepts:
       en: neron tate height
       property: symbol
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mover intent='neron-tate-height'><mi>h</mi><mo>^</mo></mover></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/N%C3%A9ron%E2%80%93Tate_height"
@@ -8296,7 +8296,7 @@ concepts:
       en: nerve of $1
       property: function
       area: "category theory"
-      comments:
+      mathml:
        - "<math><mrow intent='nerve($a1)'><mi>N</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Nerve.html"
@@ -8308,7 +8308,7 @@ concepts:
       en: nome of $1
       property: function
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='nome($a1)'><mi>q</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Nome.html"
@@ -8319,7 +8319,7 @@ concepts:
       en: non oriented angle of $1
       property: prefix
       area: "geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='non-oriented-angle($a1)'><mo>∠</mo><mi arg='a1'>x</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Orientation_(vector_space)"
@@ -8332,7 +8332,7 @@ concepts:
       en: $1 nor $2
       property: infix
       area: "logic"
-      comments:
+      mathml:
        - "<math><mrow intent='nor($a1,$a2)'><mi arg='a1'>X</mi><mo>↓</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Nor.html"
@@ -8345,7 +8345,7 @@ concepts:
       en: norm of $1
       property: fenced
       area: "linear algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='norm($a1)'><mo>‖</mo><mi arg='a1'>x</mi><mo>‖</mo></mrow></math>"
       notationa: "mrow | $1"
       urls: 
@@ -8360,7 +8360,7 @@ concepts:
       en: normalizer of $1
       property: function
       area: "group theory"
-      comments:
+      mathml:
        - "<math><msub intent='normalizer($a1)'><mi>N</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/Normalizer.html"
@@ -8372,7 +8372,7 @@ concepts:
       en: $1 not divisible by $2
       property: infix
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='not-divisible-by($a1,$a2)'><mi arg='a1'>X</mi><mo>∤</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Divisor"
@@ -8382,7 +8382,7 @@ concepts:
       en: null graph of order $1
       property: symbol
       area: "graph theory"
-      comments:
+      mathml:
        - "<math><msub intent='null-graph($a1)'><mover><mi>K</mi><mo>¯</mo></mover><mi arg='a1'>n</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/NullGraph.html"
@@ -8396,7 +8396,7 @@ concepts:
       en: numerical part of $1
       property: fenced
       area: "SI units"
-      comments:
+      mathml:
        - "<math><mrow intent='numerical-part($a1)'><mo>{</mo><mi arg='a1'>x</mi><mo>}</mo></mrow></math>"
       urls: 
        - "https://www.nist.gov/pml/special-publication-811/nist-guide-si-chapter-7-rules-and-style-conventions-expressing-values"
@@ -8406,7 +8406,7 @@ concepts:
       en: object of $1
       property: prefix
       area: "category theory"
-      comments:
+      mathml:
        - "<math><mrow intent='object($a1)'><mi>Obj</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Object.html"
@@ -8418,7 +8418,7 @@ concepts:
       en: octant  of $1, $2 and $3
       property: fenced
       area: "euclidean solid geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='octant($a1,$a2,$a3)'><mo>(</mo><mi arg='a1'>±</mi><mo>,</mo><mi arg='a2'>±</mi><mo>,</mo><mi arg='a3'>±</mi><mo>)</mo></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Octant.html"
@@ -8431,7 +8431,7 @@ concepts:
       en: octonions
       property: symbol
       area: "compositional algebra"
-      comments:
+      mathml:
        - "<math><mi intent='octonions'>𝕆</mi></math>"
        - "<math><mi intent='octonions'>O</mi></math>"
       urls: 
@@ -8447,7 +8447,7 @@ concepts:
       en: odds ratio
       property: symbol
       area: "statistics"
-      comments:
+      mathml:
        - "<math><mi intent='odds-ratio'>OR</mi></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Odds_ratio"
@@ -8457,7 +8457,7 @@ concepts:
       en: onsager machlup function of $1
       property: function
       area: "functional analysis"
-      comments:
+      mathml:
        - "<math><mrow intent='onsager-machlup-function($a1)'><mi>L</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Onsager%E2%80%93Machlup_function"
@@ -8469,7 +8469,7 @@ concepts:
       en: open ball $1 $2
       property: mixfix
       area: "topology"
-      comments:
+      mathml:
        - "<math><mrow intent='open-ball($a1,$a2)'><msub><mi>B</mi><mi arg='a1'>r</mi></msub><mrow><mo>(</mo><mi arg='a2'>p</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/OpenBall.html"
@@ -8482,7 +8482,7 @@ concepts:
       en: open interval
       property: fenced
       area: "algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='open-interval($a1,$a2)'><mo>(</mo><mi arg='a1'>x</mi><mo>,</mo><mi arg='a2'>y</mi><mo>)</mo></mrow></math>"
        - "<math><mrow intent='open-interval($a1,$a2)'><mo>]</mo><mi arg='a1'>x</mi><mo>,</mo><mi arg='a2'>y</mi><mo>[</mo></mrow></math>"
       urls: 
@@ -8494,7 +8494,7 @@ concepts:
       en: open real interval $1 to $2
       property: fenced
       area: "algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='open-real-interval($a1,$a2)'><mo>(</mo><mi arg='a1'>x</mi><mo>,</mo><mi arg='a2'>y</mi><mo>)</mo></mrow></math>"
       urls: 
        - "https://proofwiki.org/wiki/Definition: Real_Interval/Open"
@@ -8504,7 +8504,7 @@ concepts:
       en: opposite of $1
       property: msup
       area: "category theory,, group theory"
-      comments:
+      mathml:
        - "<math><msup intent='opposite($a1)'><mi arg='a1'>X</mi><mi>op</mi></msup></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Opposite_category"
@@ -8519,7 +8519,7 @@ concepts:
       en: $1 opposite charge $2
       property: infix
       area: "physics"
-      comments:
+      mathml:
        - "<math><mrow intent='opposite-charge($a1,$a2)'><mi arg='a1'>X</mi><mo>⇅</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://youtu.be/HZ7a9YkF204?t=4657"
@@ -8529,7 +8529,7 @@ concepts:
       en: $1 or product $2
       property: infix
       area: "graph theory"
-      comments:
+      mathml:
        - "<math><mrow intent='or-product($a1,$a2)'><mi arg='a1'>X</mi><mo>*</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/w/index.php?title=Graph_product"
@@ -8542,7 +8542,7 @@ concepts:
       en: order of group of $1
       property: "function, fenced"
       area: "group theory"
-      comments:
+      mathml:
        - "<math><mrow intent='order-of-group($a1)'><mi>ord</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='order-of-group($a1)'><mo>|</mo><mi arg='a1'>x</mi><mo>|</mo></mrow></math>"
       urls: 
@@ -8553,7 +8553,7 @@ concepts:
       en: orthocomplement of $1
       property: msup
       area: "lattice theory"
-      comments:
+      mathml:
        - "<math><msup intent='orthocomplement($a1)'><mi arg='a1'>X</mi><mo>⊥</mo></msup></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Complemented_lattice"
@@ -8563,7 +8563,7 @@ concepts:
       en: $1 orthogonal $2
       property: infix
       area: "geometry,, algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='orthogonal($a1,$a2)'><mi arg='a1'>X</mi><mo>⊥</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Orthogonal.html"
@@ -8580,7 +8580,7 @@ concepts:
       en: orthogonal group of $1
       property: function
       area: "group theory"
-      comments:
+      mathml:
        - "<math><mrow intent='orthogonal-group($a1)'><mi>O</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/OrthogonalGroup.html"
@@ -8594,7 +8594,7 @@ concepts:
       en: outer automorphism group of $1
       property: function
       area: "abstract algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='outer-automorphism-group($a1)'><mi>Out</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/OuterAutomorphismGroup.html"
@@ -8607,7 +8607,7 @@ concepts:
       en: outer jordan measure of $1
       property: function
       area: "measure theory"
-      comments:
+      mathml:
        - "<math><mrow intent='outer-jordan-measure($a1)'><msup><mi>m</mi><mo>*</mo></msup><mrow><mo>(</mo><mi arg='a1'>N</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/JordanMeasure.html"
@@ -8619,7 +8619,7 @@ concepts:
       en: $1 outer product $2
       property: infix
       area: "linear algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='outer-product($a1,$a2)'><mi arg='a1'>X</mi><mo>⊗</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/OuterProduct.html"
@@ -8631,7 +8631,7 @@ concepts:
       en: p core of $1
       property: function
       area: "group theory"
-      comments:
+      mathml:
        - "<math><mrow intent='p-core($a1)'><msub><mi>O</mi><mi>p</mi></msub><mrow><mo>(</mo><mi arg='a1'>G</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Core_(group)"
@@ -8644,7 +8644,7 @@ concepts:
       en: pade approximant  of $1, $2 and $3
       property: mixfix
       area: "numerical analysis"
-      comments:
+      mathml:
        - "<math><msub intent='pade-approximant($a1,$a2,$a3)'><mrow><mo>[</mo><mi arg='a1'>X</mi><mo>/</mo><mi arg='a2'>Y</mi><mo>]</mo></mrow><mi arg='a3'>f</mi></msub></math>"
       urls: 
        - "https://dlmf.nist.gov/3.11#SS4.p1"
@@ -8656,7 +8656,7 @@ concepts:
       en: padovan sequence of $1
       property: function
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='padovan-sequence($a1)'><mi>P</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/PadovanSequence.html"
@@ -8667,7 +8667,7 @@ concepts:
       en: paraboloidal coordinate of $1, $2 and $3
       property: fenced
       area: "geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='paraboloidal-coordinate($a1,$a2,$a3)'><mo>(</mo><mi arg='a1'>a</mi><mo>,</mo><mi arg='a2'>b</mi><mo>,</mo><mi arg='a3'>c</mi><mo>)</mo></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/ParaboloidalCoordinates.html"
@@ -8679,7 +8679,7 @@ concepts:
       en: $1 parallel $2
       property: infix
       area: "geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='parallel($a1,$a2)'><mi arg='a1'>X</mi><mo>∥</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Parallel.html"
@@ -8691,7 +8691,7 @@ concepts:
       en: parallel morphism
       property: embellished infix
       area: "category theory"
-      comments:
+      mathml:
        - "<math><mrow intent='parallel-morphism($a1,$a2)'><mi arg='a1'>x</mi><mo>⇉</mo><mi arg='a2'>y</mi></mrow></math>"
       urls: 
        - "https://ncatlab.org/nlab/show/parallel+morphisms"
@@ -8701,7 +8701,7 @@ concepts:
       en: partial charge
       property: symbol
       area: "chemistry"
-      comments:
+      mathml:
        - "<math><mrow intent='partial-charge($a1)'><mi>δ</mi><mo arg='a1'>+</mo></mrow></math>"
        - "<math><msup intent='partial-charge($a1)'><mi>δ</mi><mo arg='a1'>+</mo></msup></math>"
       urls: 
@@ -8715,7 +8715,7 @@ concepts:
       en: $1 partition $2
       property: infix
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='partition($a1,$a2)'><mi arg='a1'>X</mi><mo>⊢</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Partition.html"
@@ -8728,7 +8728,7 @@ concepts:
       en: "partition $1 sup $2, $2 sup $3, ..."
       property: mixfix
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='partition-frequency-representation($a1,$a2)'><mo>(</mo><msup arg='a1'><mn>1</mn><mi>a</mi></msup><msup arg='a2'><mn>2</mn><mi>b</mi></msup><msup arg='a3'><mn>3</mn><mi>c</mi></msup><mo>)</mo></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/FrequencyRepresentation.html"
@@ -8738,7 +8738,7 @@ concepts:
       en: partition function of $1
       property: function
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='partition-function($a1)'><mi>p</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Partition_(number_theory)"
@@ -8748,7 +8748,7 @@ concepts:
       en: pauli matrix of $1
       property: "indexed symbol"
       area: "mathematical physics"
-      comments:
+      mathml:
        - "<math><msub intent='pauli-matrix($a1)'><mi>σ</mi><mi arg='a1'>G</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/PauliMatrices.html"
@@ -8761,7 +8761,7 @@ concepts:
       en: peclet number of $1
       property: "indexed symbol"
       area: "fluid dynamics"
-      comments:
+      mathml:
        - "<math><msub intent='peclet-number($a1)'><mi>Pe</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/P%C3%A9clet_number"
@@ -8773,7 +8773,7 @@ concepts:
       en: $1 peirce arrow $2
       property: infix
       area: "logic"
-      comments:
+      mathml:
        - "<math><mrow intent='peirce-arrow($a1,$a2)'><mi arg='a1'>X</mi><mo>↓</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://www.encyclopediaofmath.org/index.php/Peirce_arrow"
@@ -8783,7 +8783,7 @@ concepts:
       en: pell number
       property: symbol
       area: "number theory"
-      comments:
+      mathml:
        - "<math><msub intent='pell-number($a1)'><mi>P</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/PellNumber.html"
@@ -8794,7 +8794,7 @@ concepts:
       en: pell luca number
       property: symbol
       area: "number theory"
-      comments:
+      mathml:
        - "<math><msub intent='pell-luca-number($a1)'><mi>Q</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/Pell-LucasNumber.html"
@@ -8805,7 +8805,7 @@ concepts:
       en: periodic continued fraction $1
       property: mfrac
       area: "mathematical analysis"
-      comments:
+      mathml:
        - "<math><mrow intent='periodic-continued-fraction($a1)'><msub><mi>a</mi><mn>0</mn></msub><mo>+</mo><mfrac arg='a1'><mn>1</mn><mrow><msub><mi>a</mi><mn>1</mn></msub><mo>+</mo><mo>⋱</mo></mrow></mfrac></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/PeriodicContinuedFraction.html"
@@ -8816,7 +8816,7 @@ concepts:
       en: permanent of $1
       property: function
       area: "linear algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='permanent($a1)'><mi>perm</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Permanent.html"
@@ -8828,7 +8828,7 @@ concepts:
       en: permutation $1
       property: fenced, mtable, mixfix
       area: "combinatorics"
-      comments:
+      mathml:
        - "<math><mrow intent='permutation($a1)'><mtable arg='a1'><mtr><mtd><mn>1</mn></mtd><mtd><mn>2</mn></mtd><mtd><mn>3</mn></mtd><mtd><mn>4</mn></mtd><mtd><mn>5</mn></mtd></mtr><mtr><mtd><mn>2</mn></mtd><mtd><mn>4</mn></mtd><mtd><mn>5</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mrow></math>"
        - "<math><mrow intent='permutation($a1)'><mrow arg='a1'><mrow><mo>(</mo><mn>1</mn><mn>2</mn><mn>4</mn><mo>)</mo></mrow><mrow><mo>(</mo><mn>3</mn><mn>5</mn><mo>)</mo></mrow></mrow></mrow></math>"
       urls: 
@@ -8843,7 +8843,7 @@ concepts:
       en: $1 perpendicular $2
       property: infix
       area: "geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='perpendicular($a1,$a2)'><mi arg='a1'>X</mi><mo>⟂</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Perpendicular"
@@ -8854,7 +8854,7 @@ concepts:
       en: perrin sequence of $1
       property: function
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='perrin-sequence($a1)'><mi>P</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/PerrinNumber.html"
@@ -8865,7 +8865,7 @@ concepts:
       en: pfaffian of $1
       property: function
       area: "multilinear algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='pfaffian($a1)'><mi>Pf</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='pfaffian($a1)'><mi>pf</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
       urls: 
@@ -8880,7 +8880,7 @@ concepts:
       en: p h
       property: symbol
       area: "chemistry"
-      comments:
+      mathml:
        - "<math><mi intent='ph'>pH</mi></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/PH"
@@ -8893,7 +8893,7 @@ concepts:
       en: phase of $1
       property: function
       area: "physics"
-      comments:
+      mathml:
        - "<math><mrow intent='phase($a1)'><mi>ϕ</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='phase($a1)'><mi>ph</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
       urls: 
@@ -8907,7 +8907,7 @@ concepts:
       en: phi coefficient
       property: symbol
       area: "statistics"
-      comments:
+      mathml:
        - "<math><mi intent='phi-coefficient'>φ</mi></math>"
       notationa: "msub r φ"
       urls: 
@@ -8920,7 +8920,7 @@ concepts:
       en: picard group of $1
       property: function
       area: "group theory"
-      comments:
+      mathml:
        - "<math><mrow intent='picard-group($a1)'><mi>Pic</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/PicardGroup.html"
@@ -8933,7 +8933,7 @@ concepts:
       en: planck constant
       property: constant
       area: "physics"
-      comments:
+      mathml:
        - "<math><mi intent='planck-constant'>h</mi></math>"
        - "<math><mi intent='planck-constant'>ℎ</mi></math>"
       urls: 
@@ -8946,7 +8946,7 @@ concepts:
       en: plastic constant
       property: constant
       area: "geometry"
-      comments:
+      mathml:
        - "<math><mi intent='plastic-constant'>P</mi></math>"
        - "<math><mi intent='plastic-constant'>p</mi></math>"
       urls: 
@@ -8965,7 +8965,7 @@ concepts:
       en: playing card suit
       property: unit
       area: "game theory"
-      comments:
+      mathml:
        - "<math><mrow intent='playing-card-suit($a1)'><mo arg='a1'>♣</mo></mrow></math>"
        - "<math><mrow intent='playing-card-suit($a1)'><mo arg='a1'>♠</mo></mrow></math>"
        - "<math><mrow intent='playing-card-suit($a1)'><mo arg='a1'>♦</mo></mrow></math>"
@@ -8980,7 +8980,7 @@ concepts:
       en: plethysm $1 $2
       property: mixfix
       area: "algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='plethysm($a1,$a2)'><mrow><mo>{</mo><mi arg='a1'>λ</mi><mo>}</mo></mrow><mo>⊗</mo><mrow><mo>{</mo><mi arg='a2'>μ</mi><mo>}</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Plethysm.html"
@@ -8992,7 +8992,7 @@ concepts:
       en: plucker coordinate
       property: fenced
       area: "geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='plucker-coordinate($a1,$a2)'><mo>(</mo><mi arg='a1'>𝐝</mi><mo>:</mo><mi arg='a2'>𝐦</mi><mo>)</mo></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/PlueckerCoordinates.html"
@@ -9004,7 +9004,7 @@ concepts:
       en: $1 converges pointwise
       property: postfix
       area: "convergence"
-      comments:
+      mathml:
        - "<math><mrow intent='pointwise-convergent($a1)'><mi arg='a1'>f</mi><mi>pointwise</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/PointwiseConvergence.html"
@@ -9016,7 +9016,7 @@ concepts:
       en: poisson bracket
       property: fenced
       area: "classical mechanics"
-      comments:
+      mathml:
        - "<math><mrow intent='poisson-bracket($a1,$a2)'><mo>{</mo><mi arg='a1'>x</mi><mo>,</mo><mi arg='a2'>y</mi><mo>}</mo></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/PoissonBracket.html"
@@ -9028,7 +9028,7 @@ concepts:
       en: poisson distribution
       property: symbol
       area: "probability theory"
-      comments:
+      mathml:
        - "<math><mi intent='poisson-distribution'>Pois</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/PoissonDistribution.html"
@@ -9041,7 +9041,7 @@ concepts:
       en: polar set of $1
       property: msup
       area: "functional analysis"
-      comments:
+      mathml:
        - "<math><msup intent='polar-set($a1)'><mi arg='a1'>X</mi><mo>°</mo></msup></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Polar_set"
@@ -9053,7 +9053,7 @@ concepts:
       en: $1<i>th</i> pollaczek polynomial
       property: "indexed function"
       area: "orthogonal polynomials"
-      comments:
+      mathml:
        - "<math><msubsup intent='pollaczek-polynomial($a1)'><mi>P</mi><mi arg='a1'>n</mi><mrow><mo>(</mo><mi>λ</mi><mo>)</mo></mrow></msubsup></math>"
       urls: 
        - "https://mathworld.wolfram.com/PollaczekPolynomial.html"
@@ -9065,7 +9065,7 @@ concepts:
       en: polygamma function of $1
       property: "indexed function"
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='polygamma-function($a1)'><mi>ψ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/PolygammaFunction.html"
@@ -9078,7 +9078,7 @@ concepts:
       en: polynomial ring $1 $2
       property: mixfix
       area: "ring theory"
-      comments:
+      mathml:
        - "<math><mrow intent='polynomial-ring($a1,$a2)'><mi arg='a1'>R</mi><mrow><mo>[</mo><mi arg='a2'>x</mi><mo>]</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Polynomial_ring#Definition_(univariate_case)"
@@ -9090,7 +9090,7 @@ concepts:
       en: polylogarithm of $1
       property: "indexed function"
       area: "special functions"
-      comments:
+      mathml:
        - "<math><msub intent='polylogarithm($a1)'><mi>Li</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/Polylogarithm.html"
@@ -9104,7 +9104,7 @@ concepts:
       en: pontrjagin dual of $1
       property: mover
       area: "harmonic analysis"
-      comments:
+      mathml:
        - "<math><mover intent='pontrjagin-dual($a1)'><mi arg='a1'>G</mi><mo>^</mo></mover></math>"
       urls: 
        - "https://ncatlab.org/nlab/show/Pontrjagin+dual"
@@ -9115,7 +9115,7 @@ concepts:
       en: pontryagin class of $1
       property: "indexed symbol"
       area: "differential topology"
-      comments:
+      mathml:
        - "<math><msub intent='pontryagin-class($a1)'><mi>p</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/PontryaginClass.html"
@@ -9128,7 +9128,7 @@ concepts:
       en: positive part of $1
       property: msup, msub
       area: "elementary mathematics"
-      comments:
+      mathml:
        - "<math><msup intent='positive-part($a1)'><mi arg='a1'>X</mi><mo>+</mo></msup></math>"
       notationa: "msub $1 +"
       urls: 
@@ -9141,7 +9141,7 @@ concepts:
       en: positivitiy predicate of $1
       property: prefix
       area: "predicative mathematics"
-      comments:
+      mathml:
        - "<math><mrow intent='positivitiy-predicate($a1)'><mo>◊</mo><mi arg='a1'>x</mi></mrow></math>"
       urls: 
        - "https://ncatlab.org/nlab/show/positive+element"
@@ -9151,7 +9151,7 @@ concepts:
       en: post canonical system  $1 $2 $3
       property: fenced
       area: "formal languages"
-      comments:
+      mathml:
        - "<math><mrow intent='post-canonical-system($a1)'><mo>(</mo><mi arg='a1'>A</mi><mo>,</mo><mi arg='a2'>I</mi><mo>,</mo><mi arg='a3'>R</mi><mo>)</mo></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Post_canonical_system"
@@ -9163,7 +9163,7 @@ concepts:
       en: power set of $1
       property: "function, msup"
       area: "set theory"
-      comments:
+      mathml:
        - "<math><mrow intent='power-set($a1)'><mi>P</mi><mi arg='a1'>X</mi></mrow></math>"
        - "<math><mrow intent='power-set($a1)'><mi>𝒫</mi><mi arg='a1'>X</mi></mrow></math>"
        - "<math><mrow intent='power-set($a1)'><mi>ℙ</mi><mi arg='a1'>X</mi></mrow></math>"
@@ -9180,7 +9180,7 @@ concepts:
       en: preregular space
       property: constant
       area: "topology"
-      comments:
+      mathml:
        - "<math><msub intent='preregular-space'><mi>R</mi><mn>1</mn></msub></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Separation_axiom#Main_definitions)s"
@@ -9190,7 +9190,7 @@ concepts:
       en: present value
       property: symbol
       area: "economics"
-      comments:
+      mathml:
        - "<math><mi intent='present-value'>PV</mi></math>"
        - "<math><mi intent='present-value'>v</mi></math>"
       urls: 
@@ -9202,7 +9202,7 @@ concepts:
       en: prime constant
       property: symbol
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mi intent='prime-constant'>P</mi></math>"
        - "<math><mi intent='prime-constant'>ρ</mi></math>"
       urls: 
@@ -9216,7 +9216,7 @@ concepts:
       en: prime counting function of $1
       property: function
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='prime-counting-function($a1)'><mi>π</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/PrimeCountingFunction.html"
@@ -9226,7 +9226,7 @@ concepts:
       en: prime difference function of $1
       property: "indexed function"
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='prime-difference-function($a1)'><mi>d</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/PrimeDifferenceFunction.html"
@@ -9236,7 +9236,7 @@ concepts:
       en: prime gap of $1
       property: "indexed function"
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='prime-gap($a1)'><mi>G</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='prime-gap($a1)'><mi>g</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
       urls: 
@@ -9248,7 +9248,7 @@ concepts:
       en: primorial of $1
       property: postfix
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='primorial($a1)'><mi arg='a1'>x</mi><mo>#</mo></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Primorial.html"
@@ -9259,7 +9259,7 @@ concepts:
       en: principal value of $1
       property: function
       area: "complex analysis"
-      comments:
+      mathml:
        - "<math><mrow intent='principal-value($a1)'><mi>Log</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Complex_logarithm#Principal_value"
@@ -9269,7 +9269,7 @@ concepts:
       en: probability limit of $1
       property: "indexed function"
       area: "probability theory"
-      comments:
+      mathml:
        - "<math><mrow intent='probability-limit($a1)'><mi>plim</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Convergence_of_random_variables#Convergence_in_probability"
@@ -9281,7 +9281,7 @@ concepts:
       en: product integral of $1
       property: indexed
       area: "calculus"
-      comments:
+      mathml:
        - "<math><mrow intent='product-integral($a1)'><mo>∏</mo><mi arg='a1'>f</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Continuous_product"
@@ -9293,7 +9293,7 @@ concepts:
       en: product measure
       property: function
       area: "measure theory"
-      comments:
+      mathml:
        - "<math><mrow intent='product-measure($a1,$a2)'><mi arg='a1'>x</mi><mo>×</mo><mi arg='a2'>y</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/ProductMeasure.html"
@@ -9304,7 +9304,7 @@ concepts:
       en: projective line of $1
       property: function
       area: "projective geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='projective-line($a1)'><mi>P</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Projective_line"
@@ -9315,7 +9315,7 @@ concepts:
       en: projective space
       property: symbol
       area: "projective geometry"
-      comments:
+      mathml:
        - "<math><mi intent='projective-space'>ℙ</mi></math>"
       notationa: "mi ℝ⁢ ℙ"
       urls: 
@@ -9332,7 +9332,7 @@ concepts:
       en: $1 proper subgroup $2
       property: infix
       area: "group theory"
-      comments:
+      mathml:
        - "<math><mrow intent='proper-subgroup($a1,$a2)'><mi arg='a1'>X</mi><mo>&lt;</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Subgroup"
@@ -9342,7 +9342,7 @@ concepts:
       en: $1 proportional $2
       property: infix
       area: "arithmetic"
-      comments:
+      mathml:
        - "<math><mrow intent='proportional($a1,$a2)'><mi arg='a1'>X</mi><mo>∝</mo><mi arg='a2'>Y</mi></mrow></math>"
        - "<math><mrow intent='proportional($a1,$a2)'><mi arg='a1'>X</mi><mo>~</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
@@ -9357,7 +9357,7 @@ concepts:
       en: prouhet thue morse constant
       property: constant
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mi intent='prouhet-thue-morse-constant'>τ</mi></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Prouhet%E2%80%93Thue%E2%80%93Morse_constant"
@@ -9367,7 +9367,7 @@ concepts:
       en: prufer group of $1
       property: mixfix
       area: "group theory"
-      comments:
+      mathml:
        - "<math><mrow intent='prufer-group($a1)'><mi>𝐙</mi><mrow><mo>(</mo><msup><mi arg='a1'>p</mi><mo>∞</mo></msup><mo>)</mo></mrow></mrow></math>"
       notation: "mrow Z ( msup $1 ∞ /msup"
       urls: 
@@ -9380,7 +9380,7 @@ concepts:
       en: pseudovector $1
       property: mixfix
       area: "vector calculus"
-      comments:
+      mathml:
        - "<math><mrow intent='pseudovector($a1)'><mi arg='a1'>v</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Pseudovector.html"
@@ -9393,7 +9393,7 @@ concepts:
       en: pseudo inner product
       property: fenced
       area: "lie algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='pseudo-inner-product($a1,$a2)'><mo>(</mo><mi arg='a1'>x</mi><mo>,</mo><mi arg='a2'>y</mi><mo>)</mo></mrow></math>"
       urls: 
        - "https://youtu.be/mJ8ZDdA10GY?t=870"
@@ -9403,7 +9403,7 @@ concepts:
       en: pullback
       property: symbol
       area: "differential geometry"
-      comments:
+      mathml:
        - "<math><msup intent='pullback'><mi>φ</mi><mo>*</mo></msup></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Pullback_(differential_geometry)"
@@ -9413,7 +9413,7 @@ concepts:
       en: $1 pushforward $2
       property: infix
       area: "differential geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='pushforward($a1,$a2)'><mi arg='a1'>X</mi><mo>*</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://youtu.be/mJ8ZDdA10GY?t=2555"
@@ -9424,7 +9424,7 @@ concepts:
       en: pythagoras constant
       property: constant
       area: "geometry"
-      comments:
+      mathml:
        - "<math><msqrt intent='pythagoras-constant'><mn>2</mn></msqrt></math>"
       urls: 
        - "https://mathworld.wolfram.com/PythagorassConstant.html"
@@ -9439,7 +9439,7 @@ concepts:
       en: pythagorean triple  $1, $2 and $3
       property: fenced
       area: "geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='pythagorean-triple($a1,$a2,$a3)'><mo>(</mo><mi arg='a1'>a</mi><mo>,</mo><mi arg='a2'>b</mi><mo>,</mo><mi arg='a3'>c</mi><mo>)</mo></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/PythagoreanTriple.html"
@@ -9450,7 +9450,7 @@ concepts:
       en: $3 q binomial coefficient of $1, $2
       property: fenced-stacked
       area: "combinatorics"
-      comments:
+      mathml:
        - "<math><msub intent='q-binomial-coefficient($a1,$a2,$a3)'><mrow><mo>[</mo><mfrac linethickness='0pt'><mi arg='a1'>n</mi><mi arg='a2'>m</mi></mfrac><mo>]</mo></mrow><mi arg='a3'>q</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/q-BinomialCoefficient.html"
@@ -9460,7 +9460,7 @@ concepts:
       en: qed
       property: symbol
       area: "mathematical symbols"
-      comments:
+      mathml:
        - "<math><mo intent='qed'>□</mo></math>"
        - "<math><mo intent='qed'>∎</mo></math>"
       urls: 
@@ -9474,7 +9474,7 @@ concepts:
       en: quadratic differential of $1
       property: mixfix
       area: "complex manifolds"
-      comments:
+      mathml:
        - "<math><mrow intent='quadratic-differential($a1)'><mi arg='a1'>f</mi><mrow><mo>(</mo><mi>z</mi><mo>)</mo></mrow><mrow><mi>d</mi><mi>z</mi></mrow><mo>⊗</mo><mrow><mi>d</mi><mi>z</mi></mrow></mrow></math>"
       notation: "mrow d $1 d $1"
       urls: 
@@ -9487,7 +9487,7 @@ concepts:
       en: quadratic variation $1 $2
       property: indexed fenced
       area: "stochastic processes"
-      comments:
+      mathml:
        - "<math><msub intent='quadratic-variation($a1,$a2)'><mrow><mo>[</mo><mi arg='a1'>X</mi><mo>]</mo></mrow><mi arg='a2'>t</mi></msub></math>"
       notation: "msub mrow [ $1 ] /mrow $2"
       urls: 
@@ -9498,7 +9498,7 @@ concepts:
       en: quadrilateral of $1
       property: prefix
       area: "geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='quadrilateral($a1)'><mo>◻</mo><mi arg='a1'>x</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Quadrangle.html"
@@ -9512,7 +9512,7 @@ concepts:
       en: $1 quotient group $2
       property: infix
       area: "group theory"
-      comments:
+      mathml:
        - "<math><mrow intent='quotient-group($a1,$a2)'><mi arg='a1'>X</mi><mo>/</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/QuotientGroup.html"
@@ -9524,7 +9524,7 @@ concepts:
       en: $1 quotient space $2
       property: infix
       area: "topology"
-      comments:
+      mathml:
        - "<math><mrow intent='quotient-space($a1,$a2)'><mi arg='a1'>X</mi><mo>/</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/QuotientSpace.html"
@@ -9540,7 +9540,7 @@ concepts:
       en: r complexity class
       property: symbol
       area: "complexity theory"
-      comments:
+      mathml:
        - "<math><mi intent='r-complexity-class'>R</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/R.html"
@@ -9552,7 +9552,7 @@ concepts:
       en: racah polynomial of $1
       property: "indexed function"
       area: "special functions"
-      comments:
+      mathml:
        - "<math><msub intent='racah-polynomial($a1)'><mi>R</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/RacahPolynomial.html"
@@ -9564,7 +9564,7 @@ concepts:
       en: radial mathieu function of $1
       property: "indexed function"
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='radial-mathieu-function($a1)'><mi>Mc</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='radial-mathieu-function($a1)'><mi>Ms</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
       urls: 
@@ -9577,7 +9577,7 @@ concepts:
       en: radical of $1
       property: function
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='radical($a1)'><mi>rad</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Radical.html"
@@ -9592,7 +9592,7 @@ concepts:
       en: radius vector
       property: symbol
       area: "geometry"
-      comments:
+      mathml:
        - "<math><mi intent='radius-vector'>x</mi></math>"
        - "<math><mi intent='radius-vector'>r</mi></math>"
        - "<math><mi intent='radius-vector'>s</mi></math>"
@@ -9610,7 +9610,7 @@ concepts:
       en: ramanujan sum of $1
       property: "indexed function"
       area: "number theory"
-      comments:
+      mathml:
        - "<math><msub intent='ramanujan-sum($a1)'><mi>c</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/RamanujansSum.html"
@@ -9622,7 +9622,7 @@ concepts:
       en: ramanujan tau function of $1
       property: function
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='ramanujan-tau-function($a1)'><mi>τ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/RamanujansTauFunction.html"
@@ -9634,7 +9634,7 @@ concepts:
       en: ramanujan soldner constant
       property: constant
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mi intent='ramanujan-soldner-constant'>μ</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/Ramanujan-SoldnerConstant.html"
@@ -9648,7 +9648,7 @@ concepts:
       en: ramification index of $1
       property: msub
       area: "algebraic number theory"
-      comments:
+      mathml:
        - "<math><msub intent='ramification-index($a1)'><mi>e</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/RamificationIndex.html"
@@ -9659,7 +9659,7 @@ concepts:
       en: ramsey number of $1
       property: function
       area: "graph theory"
-      comments:
+      mathml:
        - "<math><mrow intent='ramsey-number($a1)'><mi>R</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/RamseyNumber.html"
@@ -9670,7 +9670,7 @@ concepts:
       en: rank of $1
       property: function
       area: "graph theory, linear algebra, "
-      comments:
+      mathml:
        - "<math><mrow intent='rank($a1)'><mi>r</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='rank($a1)'><mi>rank</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='rank($a1)'><mi>rk</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
@@ -9687,7 +9687,7 @@ concepts:
       en: real bipolar of $1
       property: msup
       area: "functional analysis"
-      comments:
+      mathml:
        - "<math><msup intent='real-bipolar($a1)'><mi arg='a1'>A</mi><mo>∘</mo></msup></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Polar_set"
@@ -9699,7 +9699,7 @@ concepts:
       en: real part of $1
       property: function
       area: "complex analysis"
-      comments:
+      mathml:
        - "<math><mrow intent='real-part($a1)'><mi>ℜ</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='real-part($a1)'><mi>Re</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='real-part($a1)'><mi>ℛℯ</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
@@ -9713,7 +9713,7 @@ concepts:
       en: real prepolar of $1
       property: prescript
       area: "functional analysis"
-      comments:
+      mathml:
        - "<math><mmultiscripts intent='real-prepolar($a1)'><mi arg='a1'>B</mi><mprescripts/><mrow/><mo>∘</mo></mmultiscripts></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Polar_set"
@@ -9725,7 +9725,7 @@ concepts:
       en: real polar of $1
       property: msup
       area: "functional analysis"
-      comments:
+      mathml:
        - "<math><msup intent='real-polar($a1)'><mi arg='a1'>X</mi><mi>r</mi></msup></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Polar_set"
@@ -9737,7 +9737,7 @@ concepts:
       en: recession cone of $1
       property: function
       area: "convex analysis"
-      comments:
+      mathml:
        - "<math><mrow intent='recession-cone($a1)'><mi>recc</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Recession_cone"
@@ -9747,7 +9747,7 @@ concepts:
       en: reciprocal polynomial of $1
       property: msup
       area: "algebra"
-      comments:
+      mathml:
        - "<math><msup intent='reciprocal-polynomial($a1)'><mi arg='a1'>X</mi><mo>*</mo></msup></math>"
        - "<math><msup intent='reciprocal-polynomial($a1)'><mi arg='a1'>X</mi><mi>R</mi></msup></math>"
       urls: 
@@ -9761,7 +9761,7 @@ concepts:
       en: rectification of $1
       property: function
       area: "euclidean geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='rectification($a1)'><mi>r</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Rectification.html"
@@ -9773,7 +9773,7 @@ concepts:
       en: reduced suspension of $1
       property: function
       area: "topology"
-      comments:
+      mathml:
        - "<math><mrow intent='reduced-suspension($a1)'><mi>Σ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Suspension_(topology)"
@@ -9783,7 +9783,7 @@ concepts:
       en: relative homology of $1
       property: "indexed function"
       area: "algebraic topology"
-      comments:
+      mathml:
        - "<math><mrow intent='relative-homology($a1)'><mi>H</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Relative_homology"
@@ -9795,7 +9795,7 @@ concepts:
       en: repunit of $1
       property: "indexed symbol"
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='repunit($a1)'><mi>R</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Repunit.html"
@@ -9807,7 +9807,7 @@ concepts:
       en: residue of $1
       property: function
       area: "complex analysis"
-      comments:
+      mathml:
        - "<math><mrow intent='residue($a1)'><mi>Res</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='residue($a1)'><mi>res</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
       urls: 
@@ -9820,7 +9820,7 @@ concepts:
       en: resolvent
       property: "indexed function"
       area: "galois theory"
-      comments:
+      mathml:
        - "<math><msub intent='resolvent($a1)'><mi>R</mi><mi arg='a1'>G</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/Resolvent.html"
@@ -9832,7 +9832,7 @@ concepts:
       en: resolvent set of $1
       property: function
       area: "set theory"
-      comments:
+      mathml:
        - "<math><mrow intent='resolvent-set($a1)'><mi>ρ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Resolvent_set"
@@ -9843,7 +9843,7 @@ concepts:
       en: restricted quantifier $1 $2
       property: mixfix
       area: "formal logic"
-      comments:
+      mathml:
        - "<math><mrow intent='restricted-quantifier($a1,$a2)'><msub><mrow><mo>(</mo><mo>∀</mo><mi arg='a1'>x</mi><mo>)</mo></mrow><mi arg='a2'>R</mi></msub><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mrow></math>"
        - "<math><mrow intent='restricted-quantifier($a1,$a2)'><msub><mrow><mo>(</mo><mo>∃</mo><mi arg='a1'>x</mi><mo>)</mo></mrow><mi arg='a2'>R</mi></msub><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
@@ -9855,7 +9855,7 @@ concepts:
       en: $1 restricted wreath product $2
       property: infix
       area: "group theory"
-      comments:
+      mathml:
        - "<math><mrow intent='restricted-wreath-product($a1,$a2)'><mi arg='a1'>X</mi><mi>wr</mi><mi arg='a2'>Y</mi></mrow></math>"
        - "<math><mrow intent='restricted-wreath-product($a1,$a2)'><mi arg='a1'>X</mi><msub><mi>wr</mi><mi>&#x03a9;</mi></msub><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
@@ -9869,7 +9869,7 @@ concepts:
       en: restriction
       property: indexed postfix
       area: "elementary mathematics"
-      comments:
+      mathml:
         - "<math><mrow intent='restriction($a1,$a2)'><mi arg='a1'>f</mi><msub><mo>↾</mo><mi arg='a2'>A</mi></msub></mrow></math>"
         - "<math><mrow intent='restriction($a1,$a2)'><mi arg='a1'>f</mi><msub><mo>|</mo><mi arg='a2'>A</mi></msub></mrow></math>"
       urls: 
@@ -9883,7 +9883,7 @@ concepts:
       en: resultant of $1
       property: function
       area: "polynomials"
-      comments:
+      mathml:
        - "<math><mrow intent='resultant($a1)'><mi>res</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='resultant($a1)'><mi>Res</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
       urls: 
@@ -9899,7 +9899,7 @@ concepts:
       en: $1 rewrite rule $2
       property: infix
       area: "logic"
-      comments:
+      mathml:
        - "<math><mrow intent='rewrite-rule($a1,$a2)'><mi arg='a1'>X</mi><mo>→</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Semi-Thue_system"
@@ -9911,7 +9911,7 @@ concepts:
       en: reynolds number
       property: symbol
       area: "fluid dynamics"
-      comments:
+      mathml:
        - "<math><mi intent='reynolds-number'>Re</mi></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Reynolds_number"
@@ -9921,7 +9921,7 @@ concepts:
       en: ricci scalar
       property: symbol
       area: "riemannian geometry"
-      comments:
+      mathml:
        - "<math><mi intent='ricci-scalar'>S</mi></math>"
        - "<math><mi intent='ricci-scalar'>R</mi></math>"
        - "<math><mi intent='ricci-scalar'>Sc</mi></math>"
@@ -9936,7 +9936,7 @@ concepts:
       en: ricci tensor of $1
       property: "indexed symbol"
       area: "riemannian geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='ricci-tensor($a1)'><mi>R</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/RicciTensor.html"
@@ -9947,7 +9947,7 @@ concepts:
       en: riemann integral of $1
       property: indexed
       area: "calculus"
-      comments:
+      mathml:
        - "<math><mrow intent='riemann-integral($a1)'><mo>∫</mo><mi arg='a1'>f</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/RiemannIntegral.html"
@@ -9961,7 +9961,7 @@ concepts:
       en: riemann sphere
       property: scripted symbol
       area: "projective geometry"
-      comments:
+      mathml:
        - "<math><mover intent='riemann-sphere'><mi>ℂ</mi><mo>^</mo></mover></math>"
        - "<math><mover intent='riemann-sphere'><mi>ℂ</mi><mo>¯</mo></mover></math>"
        - "<math><msub intent='riemann-sphere'><mi>ℂ</mi><mo>∞</mo></msub></math>"
@@ -9979,7 +9979,7 @@ concepts:
       en: riemann theta function of $1
       property: function
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='riemann-theta-function($a1)'><mi>θ⁡</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/RiemannThetaFunction.html"
@@ -9991,7 +9991,7 @@ concepts:
       en: riemann zeta function of $1
       property: function
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='riemann-zeta-function($a1)'><mi>ζ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/RiemannZetaFunction.html"
@@ -10007,7 +10007,7 @@ concepts:
       en: riemann christoffel tensor of $1
       property: "indexed function"
       area: "riemannian geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='riemann-christoffel-tensor($a1)'><mi>R</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Riemann-ChristoffelTensor.html"
@@ -10022,7 +10022,7 @@ concepts:
       en: riemann stieltje integral of $1
       property: indexed
       area: "measure theory"
-      comments:
+      mathml:
        - "<math><mrow intent='riemann-stieltje-integral($a1)'><mo>∫</mo><mi arg='a1'>f</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Riemann-StieltjesIntegral.html"
@@ -10039,7 +10039,7 @@ concepts:
       en: right angle of $1
       property: prefix
       area: "geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='right-angle($a1)'><mo>∟</mo><mi arg='a1'>x</mi></mrow></math>"
        - "<math><mrow intent='right-angle($a1)'><mo>⊾</mo><mi arg='a1'>x</mi></mrow></math>"
        - "<math><mrow intent='right-angle($a1)'><mo>⦜</mo><mi arg='a1'>x</mi></mrow></math>"
@@ -10053,7 +10053,7 @@ concepts:
       en: right derivative of $1
       property: operator
       area: "calculus"
-      comments:
+      mathml:
        - "<math><msub intent='right-derivative($a1)'><mo>∂</mo><mo>+</mo></msub><mi arg='a1'>f</mi></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Left_and_right_derivative"
@@ -10063,7 +10063,7 @@ concepts:
       en: $1 right quotient $2
       property: infix
       area: "formal languages"
-      comments:
+      mathml:
        - "<math><mrow intent='right-quotient($a1,$a2)'><mi arg='a1'>X</mi><mo>\\</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Quotient_of_a_formal_language"
@@ -10073,7 +10073,7 @@ concepts:
       en: ring of formal power series $1 $2
       property: mixfix
       area: "ring theory"
-      comments:
+      mathml:
        - "<math><mrow intent='ring-of-formal-power-series($a1,$a2)'><mi arg='a1'>R</mi><mrow><mo>⟦</mo><mi arg='a2'>x</mi><mo>⟧</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Formal_power_series#The_ring_of_formal_power_series"
@@ -10083,7 +10083,7 @@ concepts:
       en: #2<i>th</i> rising factorial of  $1
       property: mixfix
       area: "combinatorics"
-      comments:
+      mathml:
         - "<math><msup intent='rising-factorial($a1,$a2)'><mi arg='a1'>x</mi><mrow><mo>(</mo><mi arg='a2'>n</mi><mo>)</mo></mrow></msup></math>"
         - "<math><msup intent='rising-factorial($a1,$a2)'><mi arg='a1'>x</mi><mover><mi arg='a2'>n</mi><mo>¯</mo></mover></msup></math>"
       urls: 
@@ -10102,7 +10102,7 @@ concepts:
       en: roman numeral
       property: symbol
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mi intent='roman-numeral' mathvariant='normal'>i</mi></math>"
        - "<math><mi intent='roman-numeral'>ii</mi></math>"
        - "<math><mi intent='roman-numeral'>iii</mi></math>"
@@ -10123,7 +10123,7 @@ concepts:
       en: roof of $1, $2 and $3
       property: mixfix
       area: "category theory"
-      comments:
+      mathml:
        - "<math><mrow intent='roof($a1,$a2,$a3)'><mi arg='a1'>X</mi><mo>←</mo><mi arg='a2'>Y</mi><mo>→</mo><mi arg='a3'>Z</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Span_(category_theory)"
@@ -10137,7 +10137,7 @@ concepts:
       en: root of unity
       property: symbol
       area: "complex numbers"
-      comments:
+      mathml:
        - "<math><mi intent='root-of-unity'>ω</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/RootofUnity.html"
@@ -10149,7 +10149,7 @@ concepts:
       en: root mean square of $1
       property: msub
       area: "means"
-      comments:
+      mathml:
        - "<math><msub intent='root-mean-square($a1)'><mi arg='a1'>G</mi><mi>RMS</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/Root-Mean-Square.html"
@@ -10162,7 +10162,7 @@ concepts:
       en: $1 rooted product of graphs $2
       property: infix
       area: "graph theory"
-      comments:
+      mathml:
        - "<math><mrow intent='rooted-product-of-graphs($a1,$a2)'><mi arg='a1'>X</mi><mo>∘</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Rooted_product_of_graphs"
@@ -10172,7 +10172,7 @@ concepts:
       en: ruark number
       property: symbol
       area: "physics"
-      comments:
+      mathml:
        - "<math><mi intent='ruark-number'>Ru</mi></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Euler_number_(physics)"
@@ -10182,7 +10182,7 @@ concepts:
       en: s set theory
       property: constant
       area: "set theory"
-      comments:
+      mathml:
        - "<math><mi intent='s-set-theory'>S</mi></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/S_(set_theory)"
@@ -10192,7 +10192,7 @@ concepts:
       en: s5 modal logic
       property: constant
       area: "logic"
-      comments:
+      mathml:
        - "<math><mi intent='s5-modal-logic'>S5</mi></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/S5_(modal_logic)"
@@ -10202,7 +10202,7 @@ concepts:
       en: sample space
       property: symbol
       area: "probability theory"
-      comments:
+      mathml:
        - "<math><mi intent='sample-space'>S</mi></math>"
        - "<math><mi intent='sample-space'>Ω</mi></math>"
        - "<math><mi intent='sample-space'>U</mi></math>"
@@ -10216,7 +10216,7 @@ concepts:
       en: sample variance of $1
       property: embellished symbol
       area: "probability theory"
-      comments:
+      mathml:
        - "<math><msubsup intent='sample-variance($a1)'><mi>S</mi><mi arg='a1'>y</mi><mn>2</mn></msubsup></math>"
       urls: 
        - "https://mathworld.wolfram.com/SampleVariance.html"
@@ -10228,7 +10228,7 @@ concepts:
       en: scalar triple product  of $1, $2 and $3
       property: mixfix, fenced
       area: "vector algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='scalar-triple-product($a1,$a2,$a3)'><mi arg='a1'>A</mi><mo>·</mo><mrow><mo>(</mo><mi arg='a2'>B</mi><mo>·</mo><mi arg='a3'>C</mi><mo>)</mo></mrow></mrow></math>"
        - "<math><mrow intent='scalar-triple-product($a1,$a2,$a3)'><mo>[</mo><mi arg='a1'>A</mi><mo>,</mo><mi arg='a2'>B</mi><mo>,</mo><mi arg='a3'>C</mi><mo>]</mo></mrow></math>"
       urls: 
@@ -10240,7 +10240,7 @@ concepts:
       en: scaled riemann theta function of $1
       property: mover
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='scaled-riemann-theta-function($a1)'><mover><mi>θ</mi><mo>^</mo></mover><mrow><mo>(</mo><mi arg='a1'>𝐳</mi><mo>|</mo><mi>𝛀</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://dlmf.nist.gov/21.2#i"
@@ -10251,7 +10251,7 @@ concepts:
       en: schlaefli symbol of $1, ...
       property: fenced
       area: "geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='schlaefli-symbol($a1,$a2,$a3)'><mo>{</mo><mi arg='a1'>p</mi><mo>,</mo><mi arg='a2'>q</mi><mo>,</mo><mi arg='a3'>r</mi><mo>}</mo></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Schl%C3%A4fli_symbol"
@@ -10261,7 +10261,7 @@ concepts:
       en: schroder number of $1
       property: "indexed symbol"
       area: "combinatorics"
-      comments:
+      mathml:
        - "<math><msub intent='schroder-number($a1)'><mi>S</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/SchroederNumber.html"
@@ -10273,7 +10273,7 @@ concepts:
       en: schur multiplier of $1
       property: function
       area: "group theory"
-      comments:
+      mathml:
        - "<math><mrow intent='schur-multiplier($a1)'><mi>M</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/SchurMultiplier.html"
@@ -10287,7 +10287,7 @@ concepts:
       en: schwartz space
       property: symbol
       area: "topology"
-      comments:
+      mathml:
        - "<math><mi intent='schwartz-space'>𝒮</mi></math>"
        - "<math><mi intent='schwartz-space'>S</mi></math>"
       urls: 
@@ -10300,7 +10300,7 @@ concepts:
       en: schwarzian derivative $1 $2
       property: fenced, mixfix
       area: "complex analysis"
-      comments:
+      mathml:
        - "<math><mrow intent='schwarzian-derivative($a1,$a2)'><mo>{</mo><mi arg='a1'>x</mi><mo>,</mo><mi arg='a2'>y</mi><mo>}</mo></mrow></math>"
       notationa: "mrow ( S $1 ) ($2"
       urls: 
@@ -10314,7 +10314,7 @@ concepts:
       en: second carmichael function of $1
       property: function
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='second-carmichael-function($a1)'><msup><mi>λ</mi><mo>′</mo></msup><mrow><mo>(</mo><mi arg='a1'>n</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/CarmichaelFunction.html"
@@ -10325,7 +10325,7 @@ concepts:
       en: sectional curvature of $1
       property: function
       area: "riemannian geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='sectional-curvature($a1)'><mi>K</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='sectional-curvature($a1)'><mi>κ</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
       urls: 
@@ -10338,7 +10338,7 @@ concepts:
       en: sedenion
       property: symbol
       area: "abstract algebra"
-      comments:
+      mathml:
        - "<math><mi intent='sedenion'>𝕊</mi></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Sedenion"
@@ -10349,7 +10349,7 @@ concepts:
       en: selection
       property: "indexed function"
       area: "relational algebra"
-      comments:
+      mathml:
        - "<math><msub intent='selection($a1,$a2,$a3)'><mi>&#x03c3;</mi><mrow><mi arg='a1'>a</mi><mi arg='a2'>&#x03b8;</mi><mi arg='a3'>b</mi></mrow></msub></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Selection_(relational_algebra)"
@@ -10359,7 +10359,7 @@ concepts:
       en: seminorm of $1
       property: fenced
       area: "linear algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='seminorm($a1)'><mo>‖</mo><mi arg='a1'>X</mi><mo>‖</mo></mrow></math>"
        - "<math><mrow intent='seminorm($a1)'><mo>|</mo><mi arg='a1'>X</mi><mo>|</mo></mrow></math>"
       urls: 
@@ -10373,7 +10373,7 @@ concepts:
       en: set of invertible maps of $1
       property: prefix
       area: "commutative algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='set-of-invertible-maps($a1)'><mo>!</mo><mi arg='a1'>x</mi></mrow></math>"
       urls: 
        - "https://arxiv.org/abs/2009.015866"
@@ -10383,7 +10383,7 @@ concepts:
       en: shannon entropy
       property: symbol
       area: "information theory"
-      comments:
+      mathml:
        - "<math><mi intent='shannon-entropy'>H</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/ShannonEntropy.html"
@@ -10398,7 +10398,7 @@ concepts:
       en: shift operator of $1
       property: operator
       area: "functional analysis"
-      comments:
+      mathml:
        - "<math><mrow intent='shift-operator($a1)'><msup><mi>T</mi><mo>t</mo></msup><mrow><mo>(</mo><mi arg='a1'>f</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/ShiftOperator.html"
@@ -10413,7 +10413,7 @@ concepts:
       en: shimura variety of $1
       property: function
       area: "algebraic geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='shimura-variety($a1)'><mi>Sh</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Shimura_variety"
@@ -10425,7 +10425,7 @@ concepts:
       en: short exact sequence $1 $2 $3
       property: mixfix
       area: "group theory"
-      comments:
+      mathml:
        - "<math><mrow intent='short-exact-sequence($a1,$a2,$a3)'><mn>0</mn><mo>→</mo><mi arg='a1'>X</mi><mo>→</mo><mi arg='a2'>Y</mi><mo>→</mo><mi arg='a3'>Z</mi><mo>→</mo><mn>0</mn></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/ShortExactSequence.html"
@@ -10436,7 +10436,7 @@ concepts:
       en: short rate
       property: symbol
       area: "mathematical finance"
-      comments:
+      mathml:
        - "<math><msub intent='short-rate'><mi>r</mi><mi>t</mi></msub></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Short_rate"
@@ -10449,7 +10449,7 @@ concepts:
       en: sidon sequence
       property: symbol
       area: "combinatorics"
-      comments:
+      mathml:
        - "<math><mi intent='sidon-sequence'>A</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/SidonSequence.html"
@@ -10462,7 +10462,7 @@ concepts:
       en: sign function of $1
       property: function
       area: "special-functions"
-      comments:
+      mathml:
        - "<math><mrow intent='sign-function($a1)'><mi>sgn</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Sign_function"
@@ -10474,7 +10474,7 @@ concepts:
       en: signature of permutation of $1
       property: function
       area: "combinatorics"
-      comments:
+      mathml:
        - "<math><mrow intent='signature-of-permutation($a1)'><mi>sign</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://ncatlab.org/nlab/show/signature+of+a+permutation"
@@ -10486,7 +10486,7 @@ concepts:
       en: silver ratio
       property: constant
       area: "number theory"
-      comments:
+      mathml:
        - "<math><msub intent='silver-ratio'><mi>δ</mi><mi>S</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/SilverRatio.html"
@@ -10498,7 +10498,7 @@ concepts:
       en: $1 similar $2
       property: infix
       area: "geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='similar($a1,$a2)'><mi arg='a1'>X</mi><mo>~</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Similar.html"
@@ -10510,7 +10510,7 @@ concepts:
       en: $1 simplex 
       property: "indexed symbol"
       area: "geometry"
-      comments:
+      mathml:
        - "<math><msup intent='simplex($a1)'><mo>Δ</mo><mi arg='a1'>n</mi></msup></math>"
        - "<math><mrow intent='simplex($a1)'><mo>Δ</mo><mrow><mo>[</mo><mi arg='a1'>n</mi><mo>]</mo></mrow></mrow></math>"
       urls: 
@@ -10524,7 +10524,7 @@ concepts:
       en: sinc function of $1
       property: function
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='sinc-function($a1)'><mi>S</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='sinc-function($a1)'><mi>sinc</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
       urls: 
@@ -10537,7 +10537,7 @@ concepts:
       en: sine integral of $1
       property: operator
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='sine-integral($a1)'><mi>Si</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/SineIntegral.html"
@@ -10550,7 +10550,7 @@ concepts:
       en: size of test
       property: symbol
       area: "statistics"
-      comments:
+      mathml:
        - "<math><mi intent='size-of-test'>α</mi></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Size_(statistics)"
@@ -10560,7 +10560,7 @@ concepts:
       en: skewes number of $1
       property: "indexed symbol"
       area: "number theory"
-      comments:
+      mathml:
        - "<math><msub intent='skewes-number($a1)'><mi>Sk</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/SkewesNumber.html"
@@ -10571,7 +10571,7 @@ concepts:
       en: small o of $1
       property: prefix
       area: "complexity"
-      comments:
+      mathml:
        - "<math><mrow intent='small-o($a1)'><mi>o</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Big_O_notation"
@@ -10582,7 +10582,7 @@ concepts:
       en: smith number of $1
       property: "indexed symbol"
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='smith-number($a1)'><mi>S</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/SmithNumber.html"
@@ -10593,7 +10593,7 @@ concepts:
       en: sobolev space
       property: "indexed symbol"
       area: "fourier analysis"
-      comments:
+      mathml:
        - "<math><mrow intent='sobolev-space($a1,$a2)'><msup><mi>W</mi><mrow><mi arg='a1'>k</mi><mi arg='a2'>p</mi></mrow></msup></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/SobolevSpace.html"
@@ -10606,7 +10606,7 @@ concepts:
       en: socle of $1
       property: function
       area: "group theory"
-      comments:
+      mathml:
        - "<math><mrow intent='socle($a1)'><mi>soc</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Socle.html"
@@ -10619,7 +10619,7 @@ concepts:
       en: soft o
       property: symbol
       area: "complexity theory"
-      comments:
+      mathml:
        - "<math><mi intent='soft-o'>Õ</mi></math>"
       urls: 
       alias:
@@ -10630,7 +10630,7 @@ concepts:
       en: solid angle
       property: symbol
       area: "geometry"
-      comments:
+      mathml:
        - "<math><mi intent='solid-angle'>Ω</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/SolidAngle.html"
@@ -10642,7 +10642,7 @@ concepts:
       en: $1 span
       property: unit
       area: "imperial units"
-      comments:
+      mathml:
        - "<math><mrow intent='span($a1)'><mi>span</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Span_(unit)"
@@ -10652,7 +10652,7 @@ concepts:
       en: special linear group of $1
       property: "indexed function"
       area: "group theory"
-      comments:
+      mathml:
        - "<math><msub intent='special-linear-group($a1)'><mi>SL</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/SpecialLinearGroup.html"
@@ -10665,7 +10665,7 @@ concepts:
       en: special orthogonal group of $1
       property: "indexed function"
       area: "group theory"
-      comments:
+      mathml:
        - "<math><mrow intent='special-orthogonal-group($a1)'><mi>SO</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/SpecialOrthogonalGroup.html"
@@ -10676,7 +10676,7 @@ concepts:
       en: special unitary group of $1
       property: function
       area: "lie groups"
-      comments:
+      mathml:
        - "<math><mrow intent='special-unitary-group($a1)'><mi>SU</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/SpecialUnitaryGroup.html"
@@ -10688,7 +10688,7 @@ concepts:
       en: spectral radius of $1
       property: function
       area: "spectral theory"
-      comments:
+      mathml:
        - "<math><mrow intent='spectral-radius($a1)'><mi>ρ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/SpectralRadius.html"
@@ -10700,7 +10700,7 @@ concepts:
       en: spectrum of $1
       property: function
       area: "functional analysis"
-      comments:
+      mathml:
        - "<math><mrow intent='spectrum($a1)'><mi>σ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Spectrum_(functional_analysis)"
@@ -10710,7 +10710,7 @@ concepts:
       en: spectrum category
       property: symbol
       area: "category theory"
-      comments:
+      mathml:
        - "<math><mi intent='spectrum-category'>Sp</mi></math>"
       urls: 
        - "https://ncatlab.org/nlab/show/Spectrum"
@@ -10720,7 +10720,7 @@ concepts:
       en: spectrum of matrix of $1
       property: msub
       area: "linear algebra"
-      comments:
+      mathml:
        - "<math><msub intent='spectrum-of-matrix($a1)'><mi>σ</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Spectrum_of_a_matrix"
@@ -10730,7 +10730,7 @@ concepts:
       en: spectrum of algebra of $1
       property: mover
       area: "algebra"
-      comments:
+      mathml:
        - "<math><mover intent='spectrum-of-algebra($a1)'><mi arg='a1'>A</mi><mo>^</mo></mover></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Spectrum_of_a_C*-algebra"
@@ -10740,7 +10740,7 @@ concepts:
       en: spectrum of ring of $1
       property: function
       area: "group theory"
-      comments:
+      mathml:
        - "<math><mrow intent='spectrum-of-ring($a1)'><mi>Spec</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Spectrum_of_a_ring"
@@ -10750,7 +10750,7 @@ concepts:
       en: spherical bessel function of third kind
       property: "indexed function"
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='spherical-bessel-function($a1)'><msubsup><mi>h</mi><mi>n</mi><mrow><mo>(</mo><mn>1</mn><mo>)</mo></mrow></msubsup><mrow><mo>(</mo><mi arg='a1'>z</mi><mo>)</mo></mrow></mrow></math>"
        - "<math><mrow intent='spherical-bessel-function($a1)'><msubsup><mi>h</mi><mi>n</mi><mrow><mo>(</mo><mn>2</mn><mo>)</mo></mrow></msubsup><mrow><mo>(</mo><mi arg='a1'>z</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
@@ -10763,7 +10763,7 @@ concepts:
       en: spherical coordinate
       property: fenced
       area: "geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='spherical-coordinate($a1,$a2,$a3)'><mo>(</mo><mi arg='a1'>a</mi><mo>,</mo><mi arg='a2'>b</mi><mo>,</mo><mi arg='a3'>c</mi><mo>)</mo></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/SphericalCoordinates.html"
@@ -10774,7 +10774,7 @@ concepts:
       en: spin angular momentum
       property: symbol
       area: "quantum mechanics"
-      comments:
+      mathml:
        - "<math><mi intent='spin-angular-momentum'>S</mi></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Spin_(physics)"
@@ -10784,7 +10784,7 @@ concepts:
       en: spin group
       property: symbol
       area: "group theory"
-      comments:
+      mathml:
        - "<math><mi intent='spin-group'>Spin</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/SpinGroup.html"
@@ -10797,7 +10797,7 @@ concepts:
       en: spin quantum number
       property: symbol
       area: "quantum mechanics"
-      comments:
+      mathml:
        - "<math><mi intent='spin-quantum-number'>s</mi></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Spin_(physics)"
@@ -10807,7 +10807,7 @@ concepts:
       en: "square $1 $2 $3 $4"
       property: prefix
       area: "geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='square($a1,$a2,$a3,$a4)'><mo>□</mo><mrow><mi arg='a1'>A</mi><mo>&#x2009;</mo><mi arg='a2'>B</mi><mo>&#x2009;</mo><mi arg='a3'>C</mi><mo>&#x2009;</mo><mi arg='a4'>D</mi></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Square.html"
@@ -10818,7 +10818,7 @@ concepts:
       en: stable distribution
       property: symbol
       area: "probability theory"
-      comments:
+      mathml:
        - "<math><msub intent='stable-distribution'><mi>S</mi><mn>1</mn></msub></math>"
        - "<math><msub intent='stable-distribution'><mi>S</mi><mn>2</mn></msub></math>"
       urls: 
@@ -10831,7 +10831,7 @@ concepts:
       en: stalk of $1 at $2
       property: msub
       area: "sheaf theory"
-      comments:
+      mathml:
        - "<math><msub intent='stalk($a1,$a2)'><mi arg='a1'>ℱ</mi><mi arg='a2'>x</mi></msub></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Stalk_(sheaf)"
@@ -10841,7 +10841,7 @@ concepts:
       en: standard deviation
       property: symbol
       area: "probability theory"
-      comments:
+      mathml:
        - "<math><mi intent='standard-deviation'>σ</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/StandardDeviation.html"
@@ -10854,7 +10854,7 @@ concepts:
       en: standard flattening of $1
       property: "indexed symbol"
       area: "multilinear algebra"
-      comments:
+      mathml:
        - "<math><msub intent='standard-flattening($a1)'><mi>𝐀</mi><mrow><mo>[</mo><mi arg='a1'>m</mi><mo>]</mo></mrow></msub></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Matricization"
@@ -10867,7 +10867,7 @@ concepts:
       en: stanley reisner ring $1 $2
       property: mixfix
       area: "commutative algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='stanley-reisner-ring($a1,$a2)'><mi arg='a1'>k</mi><mrow><mo>[</mo><mi arg='a2'>Δ</mi><mo>]</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Stanley%E2%80%93Reisner_ring"
@@ -10881,7 +10881,7 @@ concepts:
       en: stanley reisner ideal of $1
       property: msub
       area: "commutative algebra"
-      comments:
+      mathml:
        - "<math><msub intent='stanley-reisner-ideal($a1)'><mi>I</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Stanley%E2%80%93Reisner_ring"
@@ -10895,7 +10895,7 @@ concepts:
       en: star
       property: constant
       area: "combinatorial game theory"
-      comments:
+      mathml:
        - "<math><mo intent='star-game'>∗</mo></math>"
        - "<math><mrow intent='star-game'><mo>{</mo><mn>0</mn><mo>|</mo><mn>0</mn><mo>}</mo></mrow></math>"
       urls: 
@@ -10906,7 +10906,7 @@ concepts:
       en: star height of $1
       property: function
       area: "formal languages"
-      comments:
+      mathml:
        - "<math><mrow intent='star-height($a1)'><mi>h</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Star_height"
@@ -10916,7 +10916,7 @@ concepts:
       en: steinberg group of $1
       property: function
       area: "k-theory"
-      comments:
+      mathml:
        - "<math><mrow intent='steinberg-group($a1)'><mi>St</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Group_of_Lie_type"
@@ -10928,7 +10928,7 @@ concepts:
       en: $1<i>th</i> stiefel manifold over $2
       property: mixfix
       area: "differential geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='stiefel-manifold($a1,$a2)'><msub><mi>V</mi><mi arg='a1'>k</mi></msub><mrow><mo>(</mo><msup arg='a2'><mi>ℝ</mi><mi>n</mi></msup><mo>)</mo></mrow></mrow></math>"
       notation: "mrow msub V $1 /msub ( $2"
       urls: 
@@ -10941,7 +10941,7 @@ concepts:
       en: stiefel whitney class of $1
       property: function
       area: "algebraic topology"
-      comments:
+      mathml:
        - "<math><mrow intent='stiefel-whitney-class($a1)'><mi>w</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Stiefel-WhitneyClass.html"
@@ -10955,7 +10955,7 @@ concepts:
       en: stieltjes wigert polynomial of $1
       property: "indexed function"
       area: "special functions"
-      comments:
+      mathml:
        - "<math><msub intent='stieltjes-wigert-polynomial($a1)'><mi>S</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/Stieltjes-WigertPolynomial.html"
@@ -10967,7 +10967,7 @@ concepts:
       en: stirling number of first kind of $1
       property: function
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='stirling-number-of-first-kind($a1)'><mi>s</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/StirlingNumberoftheFirstKind.html"
@@ -10979,7 +10979,7 @@ concepts:
       en: stirling number of second kind of $1
       property: function
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='stirling-number-of-second-kind($a1)'><mi>S</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/StirlingNumberoftheSecondKind.html"
@@ -10991,7 +10991,7 @@ concepts:
       en: strength of a graph of $1
       property: function
       area: "graph theory"
-      comments:
+      mathml:
        - "<math><mrow intent='strength-of-a-graph($a1)'><mi>σ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Strength_of_a_graph"
@@ -11003,7 +11003,7 @@ concepts:
       en: $1 string concatenation $2
       property: infix
       area: "computer science"
-      comments:
+      mathml:
        - "<math><mrow intent='string-concatenation($a1,$a2)'><mi arg='a1'>ABC</mi><mo>*</mo><mi arg='a2'>XYZ</mi></mrow></math>"
        - "<math><mrow intent='string-concatenation($a1,$a2)'><mi arg='a1'>ABC</mi><mo>⁢</mo><mi arg='a2'>XYZ</mi></mrow></math>"
       urls: 
@@ -11015,7 +11015,7 @@ concepts:
       en: $1 strong product $2
       property: infix
       area: "graph theory"
-      comments:
+      mathml:
        - "<math><mrow intent='strong-product($a1,$a2)'><mi arg='a1'>X</mi><mo>⊠</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/w/index.php?title=Graph_product"
@@ -11028,7 +11028,7 @@ concepts:
       en: struve function of $1
       property: "indexed function"
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='struve-function($a1)'><mi>H</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/StruveFunction.html"
@@ -11042,7 +11042,7 @@ concepts:
       en: stufe of $1
       property: function
       area: "field theory"
-      comments:
+      mathml:
        - "<math><mrow intent='stufe($a1)'><mi>s</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Stufe_(algebra)"
@@ -11052,7 +11052,7 @@ concepts:
       en: subfactorial of $1
       property: prefix
       area: "combinatorics"
-      comments:
+      mathml:
        - "<math><mrow intent='subfactorial($a1)'><mo>!</mo><mi arg='a1'>x</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Derangement"
@@ -11065,7 +11065,7 @@ concepts:
       en: $1 subgroup $2
       property: infix
       area: "group theory"
-      comments:
+      mathml:
        - "<math><mrow intent='subgroup($a1,$a2)'><mi arg='a1'>X</mi><mo>≤</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Subgroup.html"
@@ -11078,7 +11078,7 @@ concepts:
       en: $1 succeeds $2
       property: infix
       area: "set theory"
-      comments:
+      mathml:
        - "<math><mrow intent='succeeds($a1,$a2)'><mi arg='a1'>X</mi><mo>≻</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Succeeds.html"
@@ -11089,7 +11089,7 @@ concepts:
       en: $1 succeeds or equals $2
       property: infix
       area: "set theory"
-      comments:
+      mathml:
        - "<math><mrow intent='succeeds-or-equals($a1,$a2)'><mi arg='a1'>X</mi><mo>≽</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Ordered_set_operators"
@@ -11099,7 +11099,7 @@ concepts:
       en: successor of $1
       property: "function, msup"
       area: "number theory"
-      comments:
+      mathml:
        - "<math><msup intent='successor($a1)'><mi arg='a1'>X</mi><mo>+</mo></msup></math>"
        - "<math><mrow intent='successor($a1)'><mi>s</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
        - "<math><mrow intent='successor($a1)'><mi>S</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
@@ -11114,7 +11114,7 @@ concepts:
       en: $1 such that $2
       property: infix
       area: "set theory"
-      comments:
+      mathml:
        - "<math><mrow intent='such-that($a1,$a2)'><mi arg='a1'>X</mi><mo>|</mo><mi arg='a2'>Y</mi></mrow></math>"
        - "<math><mrow intent='such-that($a1,$a2)'><mi arg='a1'>X</mi><mo>:</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
@@ -11125,7 +11125,7 @@ concepts:
       en: $1 sumset $2
       property: infix
       area: "set theory"
-      comments:
+      mathml:
        - "<math><mrow intent='sumset($a1,$a2)'><mi arg='a1'>X</mi><mo>+</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Sumset.html"
@@ -11136,7 +11136,7 @@ concepts:
       en: $1 superfluous submodule $2
       property: infix
       area: "abstract algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='superfluous-submodule($a1,$a2)'><mi arg='a1'>X</mi><msub><mo>⊆</mo><mi>s</mi></msub><mi arg='a2'>Y</mi></mrow></math>"
        - "<math><mrow intent='superfluous-submodule($a1,$a2)'><mi arg='a1'>X</mi><mo>≪</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
@@ -11149,7 +11149,7 @@ concepts:
       en: support of $1
       property: function
       area: "analysis"
-      comments:
+      mathml:
        - "<math><mrow intent='support($a1)'><mi>supp</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Support.html"
@@ -11166,7 +11166,7 @@ concepts:
       en: supremum of $1
       property: "function, largeop"
       area: "order theory, lattice theory"
-      comments:
+      mathml:
        - "<math><mrow intent='supremum($a1)'><mi>sup</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='supremum($a1)'><mo>⋁</mo><mi arg='a1'>X</mi></mrow></math>"
       urls: 
@@ -11180,7 +11180,7 @@ concepts:
       en: supremum limit of $1
       property: indexed
       area: "limits"
-      comments:
+      mathml:
        - "<math><mrow intent='supremum-limit($a1)'><mi>lim sup</mi><mrow><mo>(</mo><mi arg='a1'>X</mi><mo>)</mo></mrow></mrow></math>"
        - "<math><mrow intent='supremum-limit($a1)'><mover><mi>lim</mi><mo>¯</mo></mover><mrow><mo>(</mo><mi arg='a1'>X</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
@@ -11199,7 +11199,7 @@ concepts:
       en: surface integral of $1
       property: indexed
       area: "calculus"
-      comments:
+      mathml:
        - "<math><mrow intent='surface-integral($a1)'><msub><mo>∬</mo><mi>S</mi></msub><mi arg='a1'>f</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/SurfaceIntegral.html"
@@ -11211,7 +11211,7 @@ concepts:
       en: surjection  $1, from $2 to $3
       property: mixfix, infix
       area: "set theory"
-      comments:
+      mathml:
        - "<math><mrow intent='surjection($a1,$a2,$a3)'><mi arg='a1'>f</mi><mo>:</mo><mi arg='a2'>X</mi><mo>&#x21a0;</mo><mi arg='a3'>Y</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Bijection#Definition"
@@ -11222,7 +11222,7 @@ concepts:
       en: suspension of $1
       property: function
       area: "topology"
-      comments:
+      mathml:
        - "<math><mrow intent='suspension($a1)'><mi>S</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Suspension.html"
@@ -11235,7 +11235,7 @@ concepts:
       en: symmetric algebra of $1
       property: function
       area: "algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='symmetric-algebra($a1)'><mi>S</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='symmetric-algebra($a1)'><mi>Sym</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
       urls: 
@@ -11248,7 +11248,7 @@ concepts:
       en: $1 symmetric difference $2
       property: infix
       area: "set theory"
-      comments:
+      mathml:
        - "<math><mrow intent='symmetric-difference($a1,$a2)'><mi arg='a1'>X</mi><mo>△</mo><mi arg='a2'>Y</mi></mrow></math>"
        - "<math><mrow intent='symmetric-difference($a1,$a2)'><mi arg='a1'>X</mi><mo>⊕</mo><mi arg='a2'>Y</mi></mrow></math>"
        - "<math><mrow intent='symmetric-difference($a1,$a2)'><mi arg='a1'>X</mi><mo>⊖</mo><mi arg='a2'>Y</mi></mrow></math>"
@@ -11262,7 +11262,7 @@ concepts:
       en: symmetric group of $1
       property: "msub, function, postfix"
       area: "group theory"
-      comments:
+      mathml:
        - "<math><msub intent='symmetric-group($a1)'><mi>S</mi><mi arg='a1'>x</mi></msub></math>"
        - "<math><msub intent='symmetric-group($a1)'><mi>𝔖</mi><mi arg='a1'>x</mi></msub></math>"
        - "<math><msub intent='symmetric-group($a1)'><mi>Σ</mi><mi arg='a1'>x</mi></msub></math>"
@@ -11280,7 +11280,7 @@ concepts:
       en: symmetric space
       property: constant
       area: "topology"
-      comments:
+      mathml:
        - "<math><msub intent='symmetric-space'><mi>R</mi><mn>0</mn></msub></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Separation_axiom#Main_definitions)s"
@@ -11290,7 +11290,7 @@ concepts:
       en: symplectic group of $1
       property: function
       area: "group theory"
-      comments:
+      mathml:
        - "<math><mrow intent='symplectic-group($a1)'><mi>Sp</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/SymplecticGroup.html"
@@ -11304,7 +11304,7 @@ concepts:
       en: szego polynomial of $1
       property: "indexed function"
       area: "orthogonal polynomials"
-      comments:
+      mathml:
        - "<math><msub intent='szego-polynomial($a1)'><mi>ϕ</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Szeg%C5%91_polynomial"
@@ -11316,7 +11316,7 @@ concepts:
       en: tangent bundle of $1
       property: function
       area: "differential geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='tangent-bundle($a1)'><mi>T</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/TangentBundle.html"
@@ -11329,7 +11329,7 @@ concepts:
       en: tangent space of $1
       property: "indexed function"
       area: "topology"
-      comments:
+      mathml:
        - "<math><msub intent='tangent-space($a1)'><mi>T</mi><mi arg='a1'>n</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/TangentSpace.html"
@@ -11341,7 +11341,7 @@ concepts:
       en: tate algebra
       property: symbol
       area: "analytic geometry"
-      comments:
+      mathml:
        - "<math><msub intent='tate-algebra'><mi>T</mi><mi>n</mi></msub></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Tate_algebra"
@@ -11353,7 +11353,7 @@ concepts:
       en: tate module of $1
       property: "indexed function"
       area: "group theory"
-      comments:
+      mathml:
        - "<math><msub intent='tate-module($a1)'><mi>T</mi><mi arg='a1'>n</mi></msub></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Tate_module"
@@ -11365,7 +11365,7 @@ concepts:
       en: tau particle
       property: symbol
       area: "particle physics"
-      comments:
+      mathml:
        - "<math><mi intent='tau-particle'>τ</mi></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Tau_(particle)"
@@ -11375,7 +11375,7 @@ concepts:
       en: taxicab number of $1
       property: function
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='taxicab-number($a1)'><mi>Ta</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/TaxicabNumber.html"
@@ -11386,7 +11386,7 @@ concepts:
       en: taylor polynomial of $1
       property: function
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='taylor-polynomial($a1)'><mi>Ta</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/TaylorPolynomial.html"
@@ -11398,7 +11398,7 @@ concepts:
       en: teichmuller space of $1
       property: function
       area: "differential geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='teichmuller-space($a1)'><mi>T</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/TeichmuellerSpace.html"
@@ -11410,7 +11410,7 @@ concepts:
       en: temperature
       property: symbol
       area: "physics"
-      comments:
+      mathml:
        - "<math><mi intent='temperature'>T</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/Temperature.html"
@@ -11422,7 +11422,7 @@ concepts:
       en: tensor algebra of $1
       property: function
       area: "multilinear algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='tensor-algebra($a1)'><mi>T</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='tensor-algebra($a1)'><msup><mi>T</mi><mo>•</mo></msup><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
       urls: 
@@ -11433,7 +11433,7 @@ concepts:
       en: $1 tensor product $2
       property: infix
       area: "algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='tensor-product($a1,$a2)'><mi arg='a1'>X</mi><mo>⊗</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/TensorProduct.html"
@@ -11447,7 +11447,7 @@ concepts:
       en: $1 tensor product of graphs $2
       property: infix
       area: "graph theory"
-      comments:
+      mathml:
        - "<math><mrow intent='tensor-product-of-graphs($a1,$a2)'><mi arg='a1'>X</mi><mo>×</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Tensor_product_of_graphs"
@@ -11460,7 +11460,7 @@ concepts:
       en: therefore $1
       property: prefix
       area: "logic"
-      comments:
+      mathml:
        - "<math><mrow intent='therefore-sign($a1)'><mo>∴</mo><mi arg='a1'>x</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Therefore_sign"
@@ -11472,7 +11472,7 @@ concepts:
       en: theta function of $1
       property: "indexed function"
       area: "special functions"
-      comments:
+      mathml:
        - "<math><msub intent='theta-function($a1)'><mi>θ</mi><mi arg='a1'>n</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/ThetaFunction.html"
@@ -11487,7 +11487,7 @@ concepts:
       en: thom space of $1
       property: function
       area: "algebraic topology"
-      comments:
+      mathml:
        - "<math><mrow intent='thom-space($a1)'><mi>T</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Thom_space"
@@ -11499,7 +11499,7 @@ concepts:
       en: thompson group
       property: symbol
       area: "group theory"
-      comments:
+      mathml:
        - "<math><mi intent='thompson-group'>Th</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/ThompsonGroup.html"
@@ -11511,7 +11511,7 @@ concepts:
       en: $1 to $2
       property: infix
       area: "arithmetic"
-      comments:
+      mathml:
        - "<math><mrow intent='to($a1,$a2)'><mi arg='a1'>X</mi><mo>:</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/One-to-One.html"
@@ -11521,7 +11521,7 @@ concepts:
       en: todd class of $1
       property: function
       area: "characteristic classes"
-      comments:
+      mathml:
        - "<math><mrow intent='todd-class($a1)'><mi>td</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='todd-class($a1)'><mi>Td</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
       urls: 
@@ -11534,7 +11534,7 @@ concepts:
       en: topological entropy of $1
       property: function
       area: "topology"
-      comments:
+      mathml:
        - "<math><mrow intent='topological-entropy($a1)'><mi>h</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/TopologicalEntropy.html"
@@ -11546,7 +11546,7 @@ concepts:
       en: toroidal coordinates $1 $2 $3
       property: fenced
       area: "geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='toroidal-coordinate($a1,$a2,$a3)'><mo>(</mo><mi arg='a1'>σ</mi><mo>,</mo><mi arg='a2'>τ</mi><mo>,</mo><mi arg='a3'>ϕ</mi><mo>)</mo></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/ToroidalCoordinates.html"
@@ -11558,7 +11558,7 @@ concepts:
       en: torque
       property: symbol
       area: "mechanics"
-      comments:
+      mathml:
        - "<math><mi intent='torque'>τ</mi></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Torque"
@@ -11568,7 +11568,7 @@ concepts:
       en: torsion
       property: symbol
       area: "differential geometry"
-      comments:
+      mathml:
        - "<math><mi intent='torsion'>τ</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/Torsion.html"
@@ -11581,7 +11581,7 @@ concepts:
       en: torsion submodule of $1
       property: function
       area: "abstract algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='torsion-submodule($a1)'><mi>T</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Torsion_(algebra)"
@@ -11591,7 +11591,7 @@ concepts:
       en: torsion subgroup of $1
       property: msub
       area: "group theory"
-      comments:
+      mathml:
        - "<math><msub intent='torsion-subgroup($a1)'><mi arg='a1'>G</mi><mi>T</mi></msub></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Torsion_subgroup"
@@ -11602,7 +11602,7 @@ concepts:
       en: torsion tensor of $1
       property: function
       area: "differential geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='torsion-tensor($a1)'><mi>T</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Torsion_tensor"
@@ -11612,7 +11612,7 @@ concepts:
       en: total derivative of $1 at $2
       property: mixfix
       area: "differential calculus"
-      comments:
+      mathml:
        - "<math><mrow intent='total-derivative($a1,$a2)'><msub><mi>D</mi><mi arg='a2'>a</mi></msub><mi arg='a1'>f</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/TotalDerivative.html"
@@ -11626,7 +11626,7 @@ concepts:
       en: total variation of $1
       property: fenced
       area: "measure theory"
-      comments:
+      mathml:
        - "<math><mrow intent='total-variation($a1)'><mo>|</mo><mi arg='a1'>x</mi><mo>|</mo></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/TotalVariation.html"
@@ -11638,7 +11638,7 @@ concepts:
       en: trace of $1
       property: function
       area: "linear algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='trace($a1)'><mi>tr</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Trace_(linear_algebra)"
@@ -11648,7 +11648,7 @@ concepts:
       en: transitive closure of $1
       property: msup
       area: "set theory"
-      comments:
+      mathml:
        - "<math><msup intent='transitive-closure($a1)'><mi arg='a1'>X</mi><mo>+</mo></msup></math>"
       urls: 
        - "https://mathworld.wolfram.com/TransitiveClosure.html"
@@ -11660,7 +11660,7 @@ concepts:
       en: triangle
       property: prefix
       area: "geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='triangle($a1,$a2,$a3)'><mo>△</mo><mrow><mi arg='a1'>A</mi><mo>&#x2009;</mo><mi arg='a2'>B</mi><mo>&#x2009;</mo><mi arg='a3'>C</mi></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Triangle.html"
@@ -11673,7 +11673,7 @@ concepts:
       en: triangle function of $1
       property: function
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='triangle-function($a1)'><mi>Λ</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='triangle-function($a1)'><mi>tri</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
       urls: 
@@ -11688,7 +11688,7 @@ concepts:
       en: triangular number $1
       property: "indexed symbol"
       area: "number theory"
-      comments:
+      mathml:
        - "<math><msub intent='triangular-number($a1)'><mi>T</mi><mi arg='a1'>n</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/TriangularNumber.html"
@@ -11701,7 +11701,7 @@ concepts:
       en: trilinear coordinates $1, $2, $3
       property: infix
       area: "geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='trilinear-coordinates($a1,$a2,$a3)'><mi arg='a1'>x</mi><mo>:</mo><mi arg='a2'>y</mi><mo>:</mo><mi arg='a3'>z</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Trilinear_coordinates"
@@ -11711,7 +11711,7 @@ concepts:
       en: trimean of $1
       property: function
       area: "statistics"
-      comments:
+      mathml:
        - "<math><mrow intent='trimean($a1)'><mi>TM</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Trimean"
@@ -11723,7 +11723,7 @@ concepts:
       en: $1 triple bond $2
       property: infix
       area: "chemistry"
-      comments:
+      mathml:
        - "<math><mrow intent='triple-bond($a1,$a2)'><mi arg='a1'>X</mi><mo>≡</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Triple_bond"
@@ -11733,7 +11733,7 @@ concepts:
       en: triple scalar product of $1, $2 and $3
       property: fenced
       area: "algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='triple-scalar-product($a1,$a2,$a3)'><mo>[</mo><mi arg='a1'>a</mi><mo>,</mo><mi arg='a2'>b</mi><mo>,</mo><mi arg='a3'>c</mi><mo>]</mo></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/TripleScalarProduct.html"
@@ -11745,7 +11745,7 @@ concepts:
       en: triple torus
       property: "indexed symbol"
       area: "topology"
-      comments:
+      mathml:
        - "<math><msup intent='triple-torus'><mi>𝕋</mi><mn>3</mn></msup></math>"
       urls: 
        - "https://mathworld.wolfram.com/TripleTorus.html"
@@ -11757,7 +11757,7 @@ concepts:
       en: truncation of $1
       property: function
       area: "numerical analysis"
-      comments:
+      mathml:
        - "<math><mrow intent='truncation($a1)'><mi>trunc</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Truncation.html"
@@ -11768,7 +11768,7 @@ concepts:
       en: tube domain of $1
       property: msub
       area: "complex analysis"
-      comments:
+      mathml:
        - "<math><msub intent='tube-domain($a1)'><mi>T</mi><mi arg='a1'>n</mi></msub></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Tube_domain"
@@ -11779,7 +11779,7 @@ concepts:
       en: turan graph $1 $2
       property: "function, indexed function"
       area: "graph theory"
-      comments:
+      mathml:
        - "<math><mrow intent='turan-graph($a1,$a2)'><mi>T</mi><mrow><mo>(</mo><mi arg='a1'>n</mi><mo>,</mo><mi arg='a2'>r</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/TuranGraph.html"
@@ -11791,7 +11791,7 @@ concepts:
       en: turan number of $1, $2 and $3
       property: function
       area: "graph theory"
-      comments:
+      mathml:
        - "<math><mrow intent='turan-number($a1,$a2,$a3)'><mi>T</mi><mrow><mo>(</mo><mi arg='a1'>a</mi><mo>,</mo><mi arg='a2'>b</mi><mo>,</mo><mi arg='a3'>c</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Tur%C3%A1n_number"
@@ -11803,7 +11803,7 @@ concepts:
       en: turn of $1
       property: unit
       area: "geometry"
-      comments:
+      mathml:
        - "<math><mrow intent='turn($a1)'><mi>cyc</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='turn($a1)'><mi>rev</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
        - "<math><mrow intent='turn($a1)'><mi>tr</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
@@ -11820,7 +11820,7 @@ concepts:
       en: $1 twisted tensor product $2
       property: infix
       area: "topology"
-      comments:
+      mathml:
        - "<math><mrow intent='twisted-tensor-product($a1,$a2)'><mi arg='a1'>X</mi><msub><mo>⊗</mo><mi>τ</mi></msub><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://ncatlab.org/nlab/show/twisted+tensor+product"
@@ -11830,7 +11830,7 @@ concepts:
       en: tychonoff space
       property: symbol
       area: "topology"
-      comments:
+      mathml:
        - "<math><msub intent='tychonoff-space'><mi>T</mi><mn>3</mn></msub></math>"
        - "<math><msub intent='tychonoff-space'><mi>T</mi><mn>π</mn></msub></math>"
        - "<math><msub intent='tychonoff-space'><mi>T</mi><mn>3½</mn></msub></math>"
@@ -11844,7 +11844,7 @@ concepts:
       en: $1 typing judgement $2
       property: infix
       area: "type theory"
-      comments:
+      mathml:
        - "<math><mrow intent='typing-judgement($a1,$a2)'><mi arg='a1'>X</mi><mo>:</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://ncatlab.org/nlab/show/judgment"
@@ -11854,7 +11854,7 @@ concepts:
       en: $1<i>th</i> ulam number
       property: "indexed symbol"
       area: "integer sequences"
-      comments:
+      mathml:
        - "<math><msub intent='ulam-number($a1)'><mi>U</mi><mi arg='a1'>n</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/UlamNumber.html"
@@ -11865,7 +11865,7 @@ concepts:
       en: ultrapower $1 $2
       property: mixfix
       area: "abstract algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='ultrapower($a1,$a2)'><mo>∏</mo><mi arg='a1'>x</mi><mo>/</mo><mi arg='a2'>y</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Ultrapower.html"
@@ -11877,7 +11877,7 @@ concepts:
       en: ultraproduct of $1, $2 modulo $3
       property: mixfix
       area: "abstract algebra"
-      comments:
+      mathml:
       - "<math><mrow intent='ultraproduct($a1,$a2,$a3)'><msub><mo>∏</mo><mrow><mi>i</mi><mo>∈</mo><mi arg='a2'>I</mi></mrow></msub><mi arg='a1'>M</mi><mo>/</mo><mi arg='a3'>𝒰</mi></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Ultraproduct.html"
@@ -11889,7 +11889,7 @@ concepts:
       en: $1 uniformly convergs to $2
       property: infix, indexed, postfix
       area: "convergence"
-      comments:
+      mathml:
        - "<math><mrow intent='uniformly-convergent($a1,$2)'><mi arg='a1'>f</mi><mo>⇉</mo><mi arg='a2'>g</mi></mrow></math>"
        - "<math><mrow intent='uniformly-convergent($a1,$2)'><mi arg='a1'>f</mi><mover><mo>⟶</mo><mi>unif</mi></mover><mi arg='a2'>g</mi></mrow></math>"
        - "<math><mrow intent='uniformly-convergent($a1,$2)'><mi>unif lim</mi><mi arg='a1'>f</mi><mo>=</mo><mi arg='a2'>g</mi></mrow></math>"
@@ -11901,7 +11901,7 @@ concepts:
       en: unit part of $1
       property: fenced
       area: "SI units"
-      comments:
+      mathml:
        - "<math><mrow intent='unit-part($a1)'><mo>[</mo><mi arg='a1'>x</mi><mo>]</mo></mrow></math>"
       urls: 
        - "https://www.nist.gov/pml/special-publication-811/nist-guide-si-chapter-7-rules-and-style-conventions-expressing-values"
@@ -11912,7 +11912,7 @@ concepts:
       en: unit vector of $1
       property: mover
       area: "linear algebra"
-      comments:
+      mathml:
        - "<math><mover intent='unit-vector($a1)'><mi arg='a1'>v</mi><mo>^</mo></mover></math>"
       urls: 
        - "https://mathworld.wolfram.com/UnitVector.html"
@@ -11924,7 +11924,7 @@ concepts:
       en: $1<i>th</i> unitary group
       property: "indexed symbol"
       area: "group theory"
-      comments:
+      mathml:
        - "<math><msub intent='unitary-group($a1)'><mi>U</mi><mi arg='a1'>n</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/UnitaryGroup.html"
@@ -11937,7 +11937,7 @@ concepts:
       en: universal gas constant
       property: constant
       area: "physics"
-      comments:
+      mathml:
        - "<math><mi intent='universal-gas-constant'>R</mi></math>"
       notationa: "mover R -"
       urls: 
@@ -11952,7 +11952,7 @@ concepts:
       en: universal parabolic constant
       property: constant
       area: "geometry"
-      comments:
+      mathml:
        - "<math><mi intent='universal-parabolic-constant'>P</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/UniversalParabolicConstant.html"
@@ -11963,7 +11963,7 @@ concepts:
       en: universal set
       property: symbol
       area: "set theory"
-      comments:
+      mathml:
        - "<math><mi intent='universal-set'>V</mi></math>"
        - "<math><mi intent='universal-set'>U</mi></math>"
        - "<math><mi intent='universal-set'>ξ</mi></math>"
@@ -11979,7 +11979,7 @@ concepts:
       en: There exists unique $1
       property: prefix
       area: "logic"
-      comments:
+      mathml:
        - "<math><mrow intent='unique-existential($a1)'><mo>∃!</mo><mi arg='a1'>n</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Uniqueness_quantification"
@@ -11990,7 +11990,7 @@ concepts:
       en: $1 unnatural isomorphism $2
       property: infix
       area: "set theory"
-      comments:
+      mathml:
        - "<math><mrow intent='unnatural-isomorphism($a1,$a2)'><mi arg='a1'>X</mi><mo>≈</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Isomorphism#Relation_with_equality"
@@ -12000,7 +12000,7 @@ concepts:
       en: $1 unrestricted wreath product $2
       property: infix
       area: "group theory"
-      comments:
+      mathml:
        - "<math><mrow intent='unrestricted-wreath-product($a1,$a2)'><mi arg='a1'>X</mi><mo>≀</mo><mi arg='a2'>Y</mi></mrow></math>"
        - "<math><mrow intent='unrestricted-wreath-product($a1,$a2)'><mi arg='a1'>X</mi><mo>Wr</mo><mi arg='a2'>Y</mi></mrow></math>"
        - "<math><mrow intent='unrestricted-wreath-product($a1,$a2)'><mi arg='a1'>X</mi><msub><mo>Wr</mo><mi>&#x03a9;</mi></msub><mi arg='a2'>Y</mi></mrow></math>"
@@ -12015,7 +12015,7 @@ concepts:
       en: upper closure poset of $1
       property: prefix
       area: "order theory"
-      comments:
+      mathml:
        - "<math><mrow intent='upper-closure-poset($a1)'><mo>↑</mo><mi arg='a1'>x</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Upper_set#Upper_closure_and_lower_closure"
@@ -12025,7 +12025,7 @@ concepts:
       en: upper darboux integral of $1
       property: indexed
       area: "real analysis"
-      comments:
+      mathml:
        - "<math><mrow intent='upper-darboux-integral($a1)'><mover><munderover><mo>∫</mo><mi>a</mi><mi>b</mi></munderover><mo>¯</mo></mover><mi arg='a1'>f</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Darboux_integral"
@@ -12036,7 +12036,7 @@ concepts:
       en: upper dini derivative of $1
       property: decorated function
       area: "analysis"
-      comments:
+      mathml:
        - "<math><mrow intent='upper-dini-derivative($a1)'><msub><msup><mi arg='a1'>f</mi><mo>′</mo></msup><mo>+</mo></msub><mrow><mo>(</mo><mi>t</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/DiniDerivative.html"
@@ -12048,7 +12048,7 @@ concepts:
       en: upper half plane
       property: symbol
       area: "complex analysis"
-      comments:
+      mathml:
        - "<math><mi intent='upper-half-plane'>ℍ</mi></math>"
        - "<math><msup intent='upper-half-plane'><mi>ℍ</mi><mo>+</mo></msup></math>"
       urls: 
@@ -12061,7 +12061,7 @@ concepts:
       en: upper shadow of $1
       property: function
       area: "combinatorics"
-      comments:
+      mathml:
        - "<math><mrow intent='upper-shadow($a1)'><msup><mi>𝜕</mi><mo>+</mo></msup><mi arg='a1'>A</mi></mrow></math>"
       urls: 
        - "http://qk206.user.srcf.net/notes/combinatorics.pdf"
@@ -12071,7 +12071,7 @@ concepts:
       en: variance of $1
       property: function
       area: "statistics"
-      comments:
+      mathml:
        - "<math><mrow intent='variance($a1)'><mi>Var</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Variance"
@@ -12083,7 +12083,7 @@ concepts:
       en: vect of $1
       property: "indexed symbol"
       area: "category theory"
-      comments:
+      mathml:
        - "<math><msub intent='vect($a1)'><mi>Vect</mi><mi arg='a1'>n</mi></msub></math>"
       urls: 
        - "https://ncatlab.org/nlab/show/Vect"
@@ -12093,7 +12093,7 @@ concepts:
       en: $1 vector concatenation $2
       property: infix
       area: "machine learning"
-      comments:
+      mathml:
        - "<math><mrow intent='vector-concatenation($a1,$a2)'><mi arg='a1'>X</mi><mo>◦</mo><mi arg='a2'>Y</mi></mrow></math>"
        - "<math><mrow intent='vector-concatenation($a1,$a2)'><mi arg='a1'>X</mi><mo>⊕</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
@@ -12105,7 +12105,7 @@ concepts:
       en: vector projection of $1
       property: function
       area: "linear algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='vector-projection($a1)'><mi>proj</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Vector_projection"
@@ -12118,7 +12118,7 @@ concepts:
       en: vectorization of $1
       property: function
       area: "linear algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='vectorization($a1)'><mi>vec</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Vectorization_(mathematics)"
@@ -12130,7 +12130,7 @@ concepts:
       en: versor of $1
       property: function
       area: "quaternions"
-      comments:
+      mathml:
        - "<math><mrow intent='versor($a1)'><mi>U</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Versor_(physics)"
@@ -12142,7 +12142,7 @@ concepts:
       en: vertical
       property: 
       area: 
-      comments:
+      mathml:
        - "<math><mi intent='vertical'>vertical</mi></math>"
       notation: 
       urls: 
@@ -12155,7 +12155,7 @@ concepts:
       en: $1 vertical composition $2
       property: infix
       area: "category theory"
-      comments:
+      mathml:
        - "<math><mrow intent='vertical-composition($a1,$a2)'><mi arg='a1'>X</mi><mo>∘</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://ncatlab.org/nlab/show/vertical+composition"
@@ -12166,7 +12166,7 @@ concepts:
       en: volterra integral of $1
       property: indexed
       area: "calculus"
-      comments:
+      mathml:
        - "<math><mrow intent='volterra-integral($a1)'><mo>Π</mo><mi arg='a1'>f</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Product_integral"
@@ -12176,7 +12176,7 @@ concepts:
       en: volume
       property: symbol
       area: "physics"
-      comments:
+      mathml:
        - "<math><mi intent='volume'>V</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/Volume.html"
@@ -12192,7 +12192,7 @@ concepts:
       en: volume element
       property: symbol
       area: "measure theory"
-      comments:
+      mathml:
        - "<math><mi intent='volume-element'>d</mi><mi>V</mi></math>"
       urls: 
        - "https://mathworld.wolfram.com/VolumeElement.html"
@@ -12203,7 +12203,7 @@ concepts:
       en: walsh function of $1
       property: "indexed function"
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='walsh-function($a1)'><mi>W</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/WalshFunction.html"
@@ -12215,7 +12215,7 @@ concepts:
       en: wavelet transform $1 $2
       property: "embellished function"
       area: "functional analysis"
-      comments:
+      mathml:
        - "<math><mrow intent='wavelet-transform($a1,$a2)'><msub><mi>W</mi><mi arg='a1'>ψ</mi></msub><mi arg='a2'>y</mi></mrow></math>"
       notation: "mrow [ msub W $1 /msub $2 ]"
       urls: 
@@ -12230,7 +12230,7 @@ concepts:
       en: $1 way below $2
       property: infix
       area: "domain theory"
-      comments:
+      mathml:
        - "<math><mrow intent='way-below($a1,$a2)'><mi arg='a1'>X</mi><mo>≪</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "http://mizar.org/fm/1997-6/pdf6-1/waybel_3.pdf"
@@ -12244,7 +12244,7 @@ concepts:
       en: $1 weak convergence $2
       property: infix
       area: "analysis"
-      comments:
+      mathml:
        - "<math><mrow intent='weak-convergence($a1,$a2)'><mi arg='a1'>X</mi><mover><mo>→</mo><mi>w</mi></mover><mi arg='a2'>Y</mi></mrow></math>"
        - "<math><mrow intent='weak-convergence($a1,$a2)'><mi arg='a1'>X</mi><mo>⇀</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
@@ -12256,7 +12256,7 @@ concepts:
       en: weber function of $1
       property: "indexed function"
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='weber-function($a1)'><msub><mi>𝐄</mi><mi arg='a1'>ν</mi></msub><mrow><mo>(</mo><mi arg='a2'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/WeberFunctions.html"
@@ -12268,7 +12268,7 @@ concepts:
       en: weierstrass elliptic function of $1
       property: function
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='weierstrass-elliptic-function($a1)'><mi>℘</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/WeierstrassEllipticFunction.html"
@@ -12282,7 +12282,7 @@ concepts:
       en: weierstrass sigma function of $1
       property: function
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='weierstrass-sigma-function($a1)'><mi>σ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/WeierstrassSigmaFunction.html"
@@ -12295,7 +12295,7 @@ concepts:
       en: weierstrass zeta function of $1
       property: function
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='weierstrass-zeta-function($a1)'><mi>ζ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/WeierstrassZetaFunction.html"
@@ -12308,7 +12308,7 @@ concepts:
       en: weight of $1
       property: function
       area: "group theory"
-      comments:
+      mathml:
        - "<math><mrow intent='weight($a1)'><mi>wt</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Weight_(strings)"
@@ -12320,7 +12320,7 @@ concepts:
       en: weighted lehmer mean of $1 $2 ...
       property: "indexed function"
       area: "means"
-      comments:
+      mathml:
        - "<math><mrow intent='weighted-lehmer-mean($a1,$a2,$a3)'><msub><mi>L</mi><mi>p</mi></msub><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>,</mo><mi arg='a2'>y</mi><mo>,</mo><mi arg='a3'>z</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/LehmerMean.html"
@@ -12331,7 +12331,7 @@ concepts:
       en: weighted mean of $1
       property: fenced
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='weighted-mean($a1)'><mo>⟨</mo><mi arg='a1'>x</mi><mo>⟩</mo></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/WeightedMean.html"
@@ -12345,7 +12345,7 @@ concepts:
       en: wheel graph of $1
       property: "indexed symbol"
       area: "graph theory"
-      comments:
+      mathml:
        - "<math><msub intent='wheel-graph($a1)'><mi>W</mi><mi arg='a1'>n</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/WheelGraph.html"
@@ -12356,7 +12356,7 @@ concepts:
       en: whitehead group of $1
       property: function
       area: "group theory"
-      comments:
+      mathml:
        - "<math><mrow intent='whitehead-group($a1)'><mi>Wh</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/WhiteheadGroup.html"
@@ -12368,7 +12368,7 @@ concepts:
       en: whitehead bracket $1 $2
       property: fenced
       area: "lie algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='whitehead-bracket($a1,$a2)'><mo>[</mo><mi arg='a1'>x</mi><mo>,</mo><mi arg='a2'>y</mi><mo>]</mo></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Whitehead_product"
@@ -12380,7 +12380,7 @@ concepts:
       en: whitehead torsion of $1
       property: function
       area: "geometric topology"
-      comments:
+      mathml:
        - "<math><mrow intent='whitehead-torsion($a1)'><mi>τ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/WhiteheadTorsion.html"
@@ -12392,7 +12392,7 @@ concepts:
       en: whittaker function $1 $2
       property: "indexed function"
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow><msub intent='whittaker-function($a1,$a2)'><mi>M</mi><mrow><mi arg='a1'>κ</mi><mo>,</mo><mi arg='a2'>μ</mi></mrow></msub><mrow><mo>(</mo><mi>z</mi><mo>)</mo></mrow></mrow></math>"
        - "<math><mrow><msub intent='whittaker-function($a1,$a2)'><mi>W</mi><mrow><mi arg='a1'>κ</mi><mo>,</mo><mi arg='a2'>μ</mi></mrow></msub><mrow><mo>(</mo><mi>z</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
@@ -12406,7 +12406,7 @@ concepts:
       en: whittaker function $1 $2 of $3
       property: "indexed function"
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='whittaker-function($a1,$a2,$a3)'><msub><mi>M</mi><mrow><mi arg='a1'>κ</mi><mo>,</mo><mi arg='a2'>μ</mi></mrow></msub><mrow><mo>(</mo><mi arg='a3'>z</mi><mo>)</mo></mrow></mrow></math>"
        - "<math><mrow intent='whittaker-function($a1,$a2,$a3)'><msub><mi>W</mi><mrow><mi arg='a1'>κ</mi><mo>,</mo><mi arg='a2'>μ</mi></mrow></msub><mrow><mo>(</mo><mi arg='a3'>z</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
@@ -12420,7 +12420,7 @@ concepts:
       en: wiener algebra
       property: symbol
       area: "Fourier analysis"
-      comments:
+      mathml:
       - "<math><mrow intent='wiener-algebra'><mi>A</mi><mrow><mo>(</mo><mi>T</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/WienerAlgebra.html"
@@ -12431,7 +12431,7 @@ concepts:
       en: wiener process of $1
       property: "indexed symbol"
       area: "martingale theory"
-      comments:
+      mathml:
        - "<math><msub intent='wiener-process($a1)'><mi>W</mi><mi arg='a1'>n</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/WienerProcess.html"
@@ -12443,7 +12443,7 @@ concepts:
       en: wiener sausage of radius $1 and length $2
       property: "indexed symbol"
       area: "mathematical physics"
-      comments:
+      mathml:
        - "<math><mrow intent='wiener-sausage($a1,$a2)'><msub><mi>W</mi><mi arg='a1'>&#x03b4;</mi></msub><mrow><mo>(</mo><mi arg='a2'>t</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/WienerSausage.html"
@@ -12455,7 +12455,7 @@ concepts:
       en: $1<i>th</i> wilson polynomial 
       property: "indexed function"
       area: "orthogonal polynomials"
-      comments:
+      mathml:
        - "<math><msub intent='wilson-polynomial($a1)'><mi>W</mi><mi arg='a1'>n</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/WilsonPolynomial.html"
@@ -12468,7 +12468,7 @@ concepts:
       en: wilson quotient of $1
       property: function
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='wilson-quotient($a1)'><mi>W</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/WilsonQuotient.html"
@@ -12479,7 +12479,7 @@ concepts:
       en: winding number of $1
       property: "function, symbol"
       area: "algebraic topology"
-      comments:
+      mathml:
        - "<math><mrow intent='winding-number($a1)'><mi>𝒩</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
        - "<math><mrow intent='winding-number($a1)'><mi>w</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
@@ -12494,7 +12494,7 @@ concepts:
       en: window function of $1
       property: function
       area: "fourier analysis"
-      comments:
+      mathml:
        - "<math><mrow intent='window-function($a1)'><mi>w</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/WindowFunction.html"
@@ -12506,7 +12506,7 @@ concepts:
       en: wishart distribution
       property: symbol
       area: "probability theory"
-      comments:
+      mathml:
        - "<math><msub intent='wishart-distribution'><mi>W</mi><mi>p</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/WishartDistribution.html"
@@ -12518,7 +12518,7 @@ concepts:
       en: witt polynomials of $1
       property: "indexed function"
       area: "ring theory"
-      comments:
+      mathml:
        - "<math><msub intent='witt-polynomials($a1)'><mi>W</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Witt_vector"
@@ -12529,7 +12529,7 @@ concepts:
       en: witt vector of $1
       property: fenced
       area: "ring theory"
-      comments:
+      mathml:
        - "<math><mrow intent='witt-vector($a1)'><mi>W</mi><mrow><mo>(</mo><mi arg='a1'>X</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Witt_vector"
@@ -12540,7 +12540,7 @@ concepts:
       en: woodall number of $1
       property: "indexed symbol"
       area: "number theory"
-      comments:
+      mathml:
        - "<math><msub intent='woodall-number($a1)'><mi>W</mi><mi arg='a1'>x</mi></msub></math>"
       urls: 
        - "https://mathworld.wolfram.com/WoodallNumber.html"
@@ -12552,7 +12552,7 @@ concepts:
       en: wright function of $1
       property: function
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='wright-function($a1)'><mi>ϕ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/WrightFunction.html"
@@ -12562,7 +12562,7 @@ concepts:
       en: wright omega function of $1
       property: function
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='wright-omega-function($a1)'><mi>ω</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Wright_Omega_function"
@@ -12574,7 +12574,7 @@ concepts:
       en: writhe of $1
       property: function
       area: "knot theory"
-      comments:
+      mathml:
        - "<math><mrow intent='writhe($a1)'><mi>Wr</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Writhe.html"
@@ -12586,7 +12586,7 @@ concepts:
       en: wronskian of $1, $2
       property: operator
       area: "special functions"
-      comments:
+      mathml:
        - "<math><mrow intent='wronskian($a1,$a2)'><mi>𝒲</mi><mrow><mo>(</mo><mi arg='a1'>f</mi><mo>,</mo><mi arg='a2'>g</mi><mo>)</mo></mrow></mrow></math>"
        - "<math><mrow intent='wronskian($a1,$a2)'><mi>W</mi><mrow><mo>(</mo><mi arg='a1'>f</mi><mo>,</mo><mi arg='a2'>g</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
@@ -12601,7 +12601,7 @@ concepts:
       en: yang mill functional of $1
       property: function
       area: "gauge theory"
-      comments:
+      mathml:
        - "<math><mrow intent='yang-mill-functional($a1)'><mi>ℒ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/Yang-MillsFunctional.html"
@@ -12613,7 +12613,7 @@ concepts:
       en: z matrix
       property: symbol
       area: "linear algebra"
-      comments:
+      mathml:
        - "<math><mi intent='z-matrix'>Z</mi></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Z-matrix_(mathematics)"
@@ -12623,7 +12623,7 @@ concepts:
       en: z matrix molecule of $1
       property: mtable
       area: "chemistry"
-      comments:
+      mathml:
        - "<math><mrow intent='z-matrix-molecule($a1)'><mtable arg='a1'><mtr><mtd><mtext>...</mtext></mtd></mtr><mtr><mtd><mtext>...</mtext></mtd></mtr></mtable></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Z-matrix_(chemistry)"
@@ -12633,7 +12633,7 @@ concepts:
       en: z transform of $1
       property: function
       area: "combinatorics"
-      comments:
+      mathml:
        - "<math><mrow intent='z-transform($a1)'><mi>Z</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/z-Transform.html"
@@ -12646,7 +12646,7 @@ concepts:
       en: $1 $2 zernike polynomial of $3, $4
       property: "indexed function"
       area: "orthogonal polynomials"
-      comments:
+      mathml:
        - "<math><mrow intent='zernike-polynomial($a1,$a2,$a3,$a4)'><msubsup><mi>Z</mi><mi arg='a1'>n</mi><mi arg='a2'>m</mi></msubsup><mrow><mo>(</mo><mi arg='a3'>ρ</mi><mo>,</mo><mi arg='a4'>φ</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/ZernikePolynomial.html"
@@ -12658,7 +12658,7 @@ concepts:
       en: zero ideal
       property: symbol
       area: "ring theory"
-      comments:
+      mathml:
        - "<math><mrow intent='zero-ideal'><mo>{</mo><mn>0</mn><mo>}</mo></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/ZeroIdeal.html"
@@ -12669,7 +12669,7 @@ concepts:
       en: $1 $2 zero matrix
       property: "indexed symbol"
       area: "linear algebra"
-      comments:
+      mathml:
        - "<math><msub intent='zero-matrix($a1,$a2)'><mn>0</mn><mrow><mi arg='a1'>i</mi><mi arg='a2'>j</mi></mrow></msub></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Zero_matrix"
@@ -12679,7 +12679,7 @@ concepts:
       en: zero morphism $1 $2
       property: "indexed symbol"
       area: "category theory"
-      comments:
+      mathml:
        - "<math><msub intent='zero-morphism($a1)'><mn>0</mn><mrow><mi arg='a1'>A</mi><mi arg='a2'>B</mi></mrow></msub></math>"
       notation: "msub mn 0 mrow X,Y"
       urls: 
@@ -12691,7 +12691,7 @@ concepts:
       en: zero object
       property: symbol
       area: "algebra"
-      comments:
+      mathml:
        - "<math><mrow intent='zero-object'><mo>{</mo><mn>0</mn><mo>}</mo></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Zero_object_(algebra)"
@@ -12702,7 +12702,7 @@ concepts:
       en: zero ring
       property: symbol
       area: "ring theory"
-      comments:
+      mathml:
        - "<math><mrow intent='zero-ring'><mo>{</mo><mn>0</mn><mo>}</mo></mrow></math>"
        - "<math><mn intent='zero-ring'>0</mn></math>"
       urls: 
@@ -12714,7 +12714,7 @@ concepts:
       en: zero vector
       property: constant
       area: "linear algebra"
-      comments:
+      mathml:
        - "<math><mn intent='zero-vector'>0</mn></math>"
       urls: 
        - "https://mathworld.wolfram.com/ZeroVector.html"
@@ -12724,7 +12724,7 @@ concepts:
       en: zeta function of $1
       property: function
       area: "number theory"
-      comments:
+      mathml:
        - "<math><mrow intent='zeta-function($a1)'><mi>ζ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
       urls: 
        - "https://mathworld.wolfram.com/ZetaFunction.html"
@@ -12737,7 +12737,7 @@ concepts:
       en: $1 zig zag product $2
       property: infix
       area: "graph theory"
-      comments:
+      mathml:
        - "<math><mrow intent='zig-zag-product($a1,$a2)'><mi arg='a1'>X</mi><mo>∘</mo><mi arg='a2'>Y</mi></mrow></math>"
       urls: 
        - "https://en.wikipedia.org/wiki/Zig-zag_product"