open.yml

concepts:

  - title: Open Concepts
    intents:
  
    - concept: abelian-category
      arity: 0
      en: abelian category
      property: symbol
      area: "category theory"
      mathml:
       - "<math><mi intent='abelian-category'>Ab</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/AbelianCategory.html"
       - "https://en.wikipedia.org/wiki/Abelian_category"
       - "https://ncatlab.org/nlab/show/abelian+category"
       - "https://www.encyclopediaofmath.org/index.php/Abelian_category"
    
    - concept: abelian-integral
      arity: 1
      en: abelian integral of $1
      property: indexed
      area: "complex analysis"
      mathml:
       - "<math><mrow intent='abelian-integral($a1)'><mo>∫</mo><mi arg='a1'>f</mi></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/AbelianIntegral.html"
       - "https://en.wikipedia.org/wiki/Abelian_integral"
       - "https://www.encyclopediaofmath.org/index.php/Abelian_integral"
    
    - concept: abundance
      arity: 1
      en: abundance of $1
      property: prefix
      area: "number theory"
      mathml:
       - "<math><mrow intent='abundance($a1)'><mi>A</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/Abundance.html"
    
    - concept: abundancy
      arity: 1
      en: abundancy index  of $1
      property: mixfix
      area: "number theory"
      mathml:
       - "<math><mrow intent='abundancy($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: 
       - "https://mathworld.wolfram.com/Abundancy.html"
       - "https://en.wikipedia.org/wiki/Friendly_number"
    
    - concept: ackermann-function
      arity: 1
      en: ackermann function of $1
      property: function
      area: "computability theory"
      mathml:
       - "<math><mrow intent='ackermann-function($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"
       - "https://www.encyclopediaofmath.org/index.php/Ackermann_function"
       - "https://mathworld.wolfram.com/AckermannFunction.html"
    
    - concept: ad
      arity: 1
      en: a d $1
      property: postfix. prefix
      area: "calendar units"
      mathml:
       - "<math><mrow intent='ad($a1)'><mi>AD</mi><mo>&#x2009;</mo><mn arg='a1'>2024</mn></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Anno_Domini"
    
    - concept: additive-inverse
      arity: 1
      en: additive inverse of $1
      property: prefix
      area: "abstract algebra"
      mathml:
       - "<math><mrow intent='additive-inverse($a1)'><mo>-</mo><mi arg='a1'>n</mi></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Additive_inverse"
      alias:
       - opposite
       - sign-change
       - negation
    
    - concept: adiabatic-invariant-first
      arity: 0
      en: adiabatic invariant first
      property: symbol
      area: "plasma physics"
      mathml:
       - "<math><mi intent='adiabatic-invariant-first'>μ</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/AdiabaticInvariant.html"
       - "https://en.wikipedia.org/wiki/Adiabatic_invariant"
       - "https://www.encyclopediaofmath.org/index.php/Adiabatic_invariant"
    
    - concept: adiabatic-invariant-second
      arity: 0
      en: adiabatic invariant second
      property: symbol
      area: "plasma physics"
      mathml:
       - "<math><mi intent='adiabatic-invariant-second'>J</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/AdiabaticInvariant.html"
       - "https://en.wikipedia.org/wiki/Adiabatic_invariant"
       - "https://www.encyclopediaofmath.org/index.php/Adiabatic_invariant"
    
    - concept: adiabatic-invariant-third
      arity: 0
      en: adiabatic invariant third
      property: symbol
      area: "plasma physics"
      mathml:
       - "<math><mi intent='adiabatic-invariant-third'>Φ</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/AdiabaticInvariant.html"
       - "https://en.wikipedia.org/wiki/Adiabatic_invariant"
       - "https://www.encyclopediaofmath.org/index.php/Adiabatic_invariant"
    
    - concept: adjoint
      arity: 1
      en: adjoint of $1
      property: 
      area: 
      mathml:
       - "<math><mrow intent='adjoint($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>"
      urls: 
       - "https://mathworld.wolfram.com/Adjoint.html"
       - "https://en.wikipedia.org/wiki/Adjoint"
       - "https://ncatlab.org/nlab/show/adjoint"
    
    - concept: adjoint-action
      arity: 1
      en: adjoint action of $1
      property: "function/msub"
      area: "lie algebra"
      mathml:
       - "<math><mrow intent='adjoint-action($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: 
       - "https://en.wikipedia.org/wiki/Adjoint_representation_of_a_Lie_algebra"
       - "https://en.wikipedia.org/wiki/Adjoint_representation"
       - "https://ncatlab.org/nlab/show/adjoint+action"
       - "https://www.encyclopediaofmath.org/index.php/Adjoint_action"
      alias:
       - adjoint-endomorphism
    
    - concept: adjoint-representation
      arity: 1
      en: adjoint representation of $1
      property: function
      area: "lie algebra"
      mathml:
       - "<math><mrow intent='adjoint-representation($a1)'><mi>Ad</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/AdjointRepresentation.html"
       - "https://en.wikipedia.org/wiki/Adjoint_representation"
       - "https://ncatlab.org/nlab/show/adjoint+representation"
    
    - concept: adjugate
      arity: 1
      en: adjugate of $1
      property: function
      area: "linear algebra"
      mathml:
       - "<math><mrow intent='adjugate($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"
    
    - concept: affine-group
      arity: 1
      en: affine group of $1
      property: function
      area: "group theory"
      mathml:
       - "<math><mrow intent='affine-group($a1)'><mi>Aff</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/AffineGroup.html"
       - "https://en.wikipedia.org/wiki/Affine_group"
       - "https://www.encyclopediaofmath.org/index.php/Affine_group"
    
    - concept: affine-hull
      arity: 1
      en: affine hull of $1
      property: function
      area: "affine geometry"
      mathml:
       - "<math><mrow intent='affine-hull($a1)'><mi>aff</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/AffineHull.html"
       - "https://en.wikipedia.org/wiki/Affine_hull"
       - "https://www.encyclopediaofmath.org/index.php/Affine_hull"
    
    - concept: affine-line
      arity: 0
      en: affine line
      property: symbol
      area: "universal algebra?"
      mathml:
       - "<math><mi intent='affine-line'>𝔸</mi></math>"
      urls: 
       - "https://ncatlab.org/nlab/show/affine+line"
    
    - concept: airy-function
      arity: 1
      en: airy function of $1
      property: function
      area: "special functions"
      mathml:
       - "<math><mrow intent='airy-function($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: 
       - "https://mathworld.wolfram.com/AiryFunctions.html"
       - "https://en.wikipedia.org/wiki/Airy_function"
       - "https://dlmf.nist.gov/9.1"
       - "https://dlmf.nist.gov/9.2#i"
       - "https://dlmf.nist.gov/9.2#i"
       - "https://ncatlab.org/nlab/show/Airy+function"
       - "https://www.encyclopediaofmath.org/index.php/Airy_functions"
    
    - concept: albanese-variety
      arity: 1
      en: albanese variety of $1
      property: function
      area: "algebraic geometry"
      mathml:
       - "<math><mrow intent='albanese-variety($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: 
       - "https://mathworld.wolfram.com/AlbaneseVariety.html"
       - "https://en.wikipedia.org/wiki/Albanese_variety"
       - "https://ncatlab.org/nlab/show/Albanese+variety"
       - "https://www.encyclopediaofmath.org/index.php/Albanese_variety"
    
    - concept: aleph
      arity: 0
      en: aleph
      property: symbol
      area: "set theory"
      mathml:
       - "<math><mi intent='aleph'>ℵ</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/Aleph.html"
       - "https://ncatlab.org/nlab/show/aleph"
       - "https://www.encyclopediaofmath.org/index.php/Aleph"
    
    - concept: algebraics
      arity: 0
      en: algebraics
      property: symbol
      area: "number theory"
      mathml:
       - "<math><mi intent='algebraics'>𝔸</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/Algebraics.html"
    
    - concept: algebraic-closure
      arity: 1
      en: algebraic closure of $1
      property: mover/msup
      area: "algebra"
      mathml:
       - "<math><mover intent='algebraic-closure($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: 
       - "https://mathworld.wolfram.com/AlgebraicClosure.html"
       - "https://en.wikipedia.org/wiki/Algebraic_closure"
       - "https://www.encyclopediaofmath.org/index.php/Algebraic_closure"
    
    - concept: almost-surely
      arity: 1
      en: almost surely of $1
      property: 
      area: "probability theory"
      mathml:
       - "<math><mrow intent='almost-surely($a1)'><mi arg='a1'>E</mi><mi>m.s.</mi></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Almost_surely"
    
    - concept: alternating-factorial
      arity: 1
      en: alternating factorial of $1
      property: function
      area: "functions"
      mathml:
       - "<math><mrow intent='alternating-factorial($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"
    
    - concept: alternating-group
      arity: 1
      en: alternating group of $1
      property: function
      area: "group theory"
      mathml:
       - "<math><mrow intent='alternating-group($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: 
       - "https://mathworld.wolfram.com/AlternatingGroup.html"
       - "https://en.wikipedia.org/wiki/Alternating_group"
       - "https://www.encyclopediaofmath.org/index.php/Alternating_group"
    
    - concept: alternation
      arity: 2
      en: $1 alternation $2
      property: infix
      area: "logic"
      mathml:
       - "<math><mrow intent='alternation($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)"
       - "https://en.wikipedia.org/wiki/%E2%88%A8"
       - "https://en.wikipedia.org/wiki/Logical_disjunction"
       - "https://www.encyclopediaofmath.org/index.php/Alternation"
      alias:
       - disjunction
       - or
    
    - concept: alternative-denial
      arity: 2
      en: $1 alternative denial $2
      property: infix, prefix
      area: "propositional calculus"
      mathml:
       - "<math><mrow intent='alternative-denial($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>"
      urls: 
       - "https://mathworld.wolfram.com/AlternativeDenial.html"
       - "https://en.wikipedia.org/wiki/Sheffer_stroke"
      alias:
       - sheffer-stroke
       - nand
    
    - concept: amalgam
      arity: 5
      en: amalgam of $1 $2 $3 $4 $5
      property: fenced, 5-tuple
      area: "model theory"
      mathml:
       - "<math><mrow intent='amalgam($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"
       - "https://ncatlab.org/nlab/show/amalgamation+property"
    
    - concept: amalgamated-product
      arity: 3
      en: Free product with amalgamation of $1 and $3 with respect to $2
      property: indexed infix
      area: "group theory"
      mathml:
       - "<math><mrow intent='amalgamated-product($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"
       - "https://en.wikipedia.org/wiki/Free_product"
       - "https://home.iiserb.ac.in/~kashyap/Group/thesis_abhay.pdf"
      alias:
       - amalgamated-free-product
       - free-product-with-amalgamation
    
    - concept: analytic-manifold
      arity: 0
      en: analytic manifold
      property: symbol
      area: "topology"
      mathml:
       - "<math><msup intent='analytic-manifold'><mi>C</mi><mi>w</mi></msup></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Analytic_manifold"
       - "https://ncatlab.org/nlab/show/analytic+manifold"
       - "https://www.encyclopediaofmath.org/index.php/Analytic_manifold"
    
    - concept: anger-function
      arity: 1
      en: anger function of $1
      property: function
      area: "special functions"
      mathml:
       - "<math><mrow intent='anger-function($a1)'><mi>J</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/AngerFunction.html"
       - "https://en.wikipedia.org/wiki/Anger_function"
       - "https://dlmf.nist.gov/11.10#E1"
       - "https://www.encyclopediaofmath.org/index.php/Anger_function"
    
    - concept: angle-of-parallelism
      arity: 1
      en: angle of parallelism of $1
      property: function
      area: "hyperbolic geometry"
      mathml:
       - "<math><mrow intent='angle-of-parallelism($a1)'><mi>Π</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/AngleofParallelism.html"
       - "https://en.wikipedia.org/wiki/Angle_of_parallelism"
    
    - concept: angular-momentum
      arity: 0
      en: angular momentum
      property: symbol
      area: "classical mechanics"
      mathml:
       - "<math><mi intent='angular-momentum'>L</mi></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Angular_momentum"
       - "https://en.wikipedia.org/wiki/Introduction_to_angular_momentum"
       - "https://ncatlab.org/nlab/show/angular+momentum"
    
    - concept: angular-velocity
      arity: 0
      en: angular velocity
      property: symbol
      area: "classical mechanics"
      mathml:
       - "<math><mi intent='angular-velocity'>ω</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/AngularVelocity.html"
       - "https://en.wikipedia.org/wiki/Angular_velocity"
       - "https://ncatlab.org/nlab/show/angular+velocity"
    
    - concept: anharmonic-ratio
      arity: 4
      en: "anharmonic ratio of $1 , $2 , $3 , $4"
      property: fenced
      area: "geometry"
      mathml:
       - "<math><mrow intent='anharmonic-ratio($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"
       - "https://en.wikipedia.org/wiki/Cross-ratio"
       - "https://www.encyclopediaofmath.org/index.php/Anharmonic_ratio"
    
    - concept: annihilator
      arity: 1
      en: annihilator of $1
      property: function
      area: "ring theory"
      mathml:
       - "<math><mrow intent='annihilator($a1)'><mi>Ann</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/Annihilator.html"
       - "https://en.wikipedia.org/wiki/Annihilator_(ring_theory)"
       - "https://www.encyclopediaofmath.org/index.php/Annihilator"
    
    - concept: annulus
      arity: 1
      en: annulus of $1
      property: function
      area: "complex analysis"
      mathml:
       - "<math><mrow intent='annulus($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)"
       - "https://ncatlab.org/nlab/show/annulus"
       - "https://mathworld.wolfram.com/Annulus.html"
    
    - concept: antiparticle
      arity: 1
      en: antiparticle of $1
      property: mover
      area: "particle physics"
      mathml:
       - "<math><mover intent='antiparticle($a1)'><mi arg='a1'>p</mi><mo>¯</mo></mover></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Antimatter"
       - "https://en.wikipedia.org/wiki/Antiparticle"
      alias:
       - antimatter
    
    - concept: apartness-relation
      arity: 2
      en: $1 apartness relation $2
      property: infix
      area: "constructive mathematics"
      mathml:
       - "<math><mrow intent='apartness-relation($a1,$a2)'><mi arg='a1'>X</mi><mo>#</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Apartness_relation"
       - "https://ncatlab.org/nlab/show/apartness+relation"
    
    - concept: apery-constant
      arity: 0
      en: apery constant
      property: symbol
      area: "special functions"
      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"
       - "https://en.wikipedia.org/wiki/Zeta(3)"
       - "https://en.wikipedia.org/wiki/%CE%96(3)"
       - "https://en.wikipedia.org/wiki/Ap%C3%A9ry%27s_constant"
    
    - concept: arcminute
      arity: 1
      en: arcminute of $1
      property: unit
      area: "SI-mentioned units"
      mathml:
       - "<math><mrow intent='arcminute($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 ′"
      urls: 
       - "https://mathworld.wolfram.com/Arcminute.html"
       - "https://en.wikipedia.org/wiki/Minute_of_arc"
       - "https://en.wikipedia.org/wiki/Arcsecond"
       - "https://en.wikipedia.org/wiki/Second_(angle)"
      alias:
       - minute-arc
       - minute-of-arc
    
    - concept: arcsecond
      arity: 1
      en: arcsecond of $1
      property: unit
      area: "SI-mentioned units"
      mathml:
       - "<math><mrow intent='arcsecond($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 ′′"
      urls: 
       - "https://mathworld.wolfram.com/Arcminute.html"
       - "https://en.wikipedia.org/wiki/Minute_of_arc"
       - "https://en.wikipedia.org/wiki/Arcsecond"
       - "https://en.wikipedia.org/wiki/Second_(angle)"
    
    - concept: area
      arity: 0
      en: area
      property: symbol
      area: "geometry"
      mathml:
       - "<math><mi intent='area'>A</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/Area.html"
       - "https://en.wikipedia.org/wiki/Area"
       - "https://www.encyclopediaofmath.org/index.php/Area"
    
    - concept: arf-invariant
      arity: 1
      en: arf invariant of $1
      property: function
      area: "geometric topology"
      mathml:
       - "<math><mrow intent='arf-invariant($a1)'><mi>Arf</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/ArfInvariant.html"
       - "https://en.wikipedia.org/wiki/Arf_invariant"
       - "https://en.wikipedia.org/wiki/Arf_invariant_of_a_knot"
    
    - concept: argument
      arity: 1
      en: argument of $1
      property: function
      area: "complex analysis"
      mathml:
       - "<math><mrow intent='argument($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)"
    
    - concept: arithmetic-geometric-mean
      arity: 1
      en: arithmetic geometric mean of $1
      property: function
      area: "special functions"
      mathml:
       - "<math><mrow intent='arithmetic-geometric-mean($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: 
       - "https://mathworld.wolfram.com/Arithmetic-GeometricMean.html"
       - "https://en.wikipedia.org/wiki/Arithmetic%E2%80%93geometric_mean"
       - "https://dlmf.nist.gov/19.8#i"
       - "https://dlmf.nist.gov/19.8#SS1.p1"
    
    - concept: associated-legendre-polynomial
      arity: 2
      en: associated legendre polynomial of degree $1 and order $2
      property: function
      area: "special functions"
      mathml:
       - "<math><mrow><msubsup intent='associated-legendre-polynomial($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"
       - "https://en.wikipedia.org/wiki/Associated_Legendre_polynomials"
       - "https://dlmf.nist.gov/18.30#E6"
    
    - concept: associator
      arity: 3
      en: associator of $1, $2, $3
      property: fenced
      area: "algebra"
      mathml:
       - "<math><mrow intent='associator($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"
       - "https://en.wikipedia.org/wiki/Associator"
       - "https://ncatlab.org/nlab/show/associator"
       - "https://www.encyclopediaofmath.org/index.php/Associator"
    
    - concept: automorphism-group
      arity: 1
      en: automorphism group of $1
      property: function
      area: "group theory"
      mathml:
       - "<math><mrow intent='automorphism-group($a1)'><mi>Aut</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/AutomorphismGroup.html"
       - "https://en.wikipedia.org/wiki/Automorphism"
    
    - concept: backward-difference
      arity: 1
      en: backward difference of $1
      property: operator
      area: "special functions"
      mathml:
       - "<math><mrow intent='backward-difference($a1)'><mi>∇</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/BackwardDifference.html"
       - "https://en.wikipedia.org/wiki/Finite_difference"
       - "https://dlmf.nist.gov/18.1#EGx2"
    
    - concept: baire-space
      arity: 0
      en: baire space
      property: symbol
      area: "set theory"
      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: 
       - "https://mathworld.wolfram.com/BaireSpace.html"
       - "https://en.wikipedia.org/wiki/Baire_space"
       - "https://en.wikipedia.org/wiki/Baire_space_(set_theory)"
       - "https://ncatlab.org/nlab/show/Baire+space"
       - "https://www.encyclopediaofmath.org/index.php/Baire_space"
    
    - concept: barrel
      arity: 1
      en: $1 barrels
      property: unit
      area: "imperial units"
      mathml:
       - "<math><mrow intent='barrel($a1)'><mi arg='a1'>x</mi><mo>&#x2009;</mo><mi>bbl</mi></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/Barrel.html"
       - "https://en.wikipedia.org/wiki/Barrelled_space"
       - "https://en.wikipedia.org/wiki/Barrel_(unit)"
    
    - concept: bateman-function
      arity: 2
      en: bateman function
      property: function
      area: "special functions"
      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"
       - "https://en.wikipedia.org/wiki/Bateman_function"
       - "https://www.encyclopediaofmath.org/index.php/Bateman_function"
    
    - concept: baumslag-solitar-group
      arity: 2
      en: baumslag solitar group
      property: function
      area: "group theory"
      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"
       - "https://www.encyclopediaofmath.org/index.php/Baumslag-Solitar_group"
    
    - concept: bc
      arity: 1
      en: $1 b c
      property: postfix
      area: "calendar units"
      mathml:
       - "<math><mrow intent='bc($a1)'><mn arg='a1'>2024</mn><mo>&#x2009;</mo><mi>BC</mi></mrow></math>"      
      urls: 
       - "https://en.wikipedia.org/wiki/Anno_Domini"
    
    - concept: beatty-sequence
      arity: 1
      en: $1<i>th</i> beatty sequence
      property: "indexed symbol"
      area: "number theory"
      mathml:
       - "<math><msub intent='beatty-sequence($a1)'><mi>𝓑</mi><mi arg='a1'>r</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/BeattySequence.html"
       - "https://en.wikipedia.org/wiki/Beatty_sequence"
    
    - concept: bell-number
      arity: 1
      en: $1<i>th</i> bell number
      property: "indexed symbol"
      area: "number theory"
      mathml:
       - "<math><msub intent='bell-number($a1)'><mi>B</mi><mi arg='a1'>n</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/BellNumber.html"
       - "https://en.wikipedia.org/wiki/Bell_number"
       - "https://dlmf.nist.gov/26.7#i"
       - "https://www.encyclopediaofmath.org/index.php/Bell_numbers"
    
    - concept: bell-polynomial
      arity: ">=0"
      en: $1<i>th</i> bell polynomial of $2, $3, ...
      property: "indexed function"
      area: "polynomials"
      notation: "mrow msub B $1 ($2, ... $n"
      urls: 
       - "https://mathworld.wolfram.com/BellPolynomial.html"
       - "https://en.wikipedia.org/wiki/Bell_polynomials"
       - "https://www.encyclopediaofmath.org/index.php/Bell_polynomial"
    
    - concept: berezin-integral
      arity: 1
      en: berezin integral of $1
      property: indexed
      area: "mathematical physics"
      mathml:
       - "<math><mrow intent='berezin-integral($a1)'><mo>∫</mo><mrow><mi arg='a1'>f</mi></mrow></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Berezin_integral"
       - "https://en.wikipedia.org/wiki/Grassmann_integral"
       - "https://ncatlab.org/nlab/show/Berezin+integral"
    
    - concept: bergman-space
      arity: 2
      en: $1<i>th</i> bergman space of $2
      property: "indexed function"
      area: "complex analysis"
      mathml:
       - "<math><mrow intent='bergman-space($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"
       - "https://en.wikipedia.org/wiki/Bergman_space"
       - "https://www.encyclopediaofmath.org/index.php/Bergman_spaces"
    
    - concept: bernoulli-number
      arity: 1
      en: $1<i>th</i> bernoulli number
      property: "indexed symbol"
      area: "number theory"
      mathml:
       - "<math><msub intent='bernoulli-number($a1)'><mi>B</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/BernoulliNumber.html"
       - "https://en.wikipedia.org/wiki/Bernoulli_number"
       - "https://dlmf.nist.gov/24.1#P1"
       - "https://dlmf.nist.gov/24.2#i"
       - "https://ncatlab.org/nlab/show/Bernoulli+number"
       - "https://www.encyclopediaofmath.org/index.php/Bernoulli_numbers"
    
    - concept: bernoulli-polynomial
      arity: 2
      en: bernoulli polynomial $1 $2
      property: "indexed function"
      area: "number theory"
      mathml:
       - "<math><mrow intent='bernoulli-polynomial($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"
       - "https://en.wikipedia.org/wiki/Bernoulli_polynomials"
       - "https://dlmf.nist.gov/24.1#P1"
       - "https://dlmf.nist.gov/24.2#i"
       - "https://www.encyclopediaofmath.org/index.php/Bernoulli_polynomials"
    
    - concept: bessel-function
      arity: 2
      en: $1<i>th</i> bessel function of $2
      property: "indexed function"
      area: "special functions"
      mathml:
       - "<math><mrow intent='bessel-function($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"
       - "https://en.wikipedia.org/wiki/Bessel_function"
       - "https://dlmf.nist.gov/10.1"
       - "https://www.encyclopediaofmath.org/index.php/Bessel_functions"
    
    - concept: bessel-function-of-second-kind
      arity: 2
      en: $1<i>th</i> bessel function of second kind of $2
      property: "indexed function"
      area: "special functions"
      mathml:
       - "<math><mrow intent='bessel-function-of-second-kind($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"
       - "https://dlmf.nist.gov/10.2#E3"
       - "https://www.encyclopediaofmath.org/index.php/Bessel_function_of_the_second_kind"
    
    - concept: bessel-polynomial
      arity: 2
      en: $1<i>th</i> bessel polynomial of $2
      property: "indexed function"
      area: "special functions"
      mathml:
       - "<math><mrow intent='bessel-polynomial($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"
       - "https://en.wikipedia.org/wiki/Bessel_polynomials"
       - "https://dlmf.nist.gov/18.34#E1"
       - "https://www.encyclopediaofmath.org/index.php/Bessel_polynomials"
    
    - concept: beta-distribution
      arity: 1
      en: beta distribution of $1
      property: function
      area: "probability theory"
      mathml:
       - "<math><mrow intent='beta-distribution($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>"
       - "<math><mrow intent='beta-distribution($a1)'><mi>β</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/BetaDistribution.html"
       - "https://en.wikipedia.org/wiki/Beta_distribution"
    
    - concept: beta-function
      arity: 1
      en: beta function of $1
      property: function
      area: "special functions"
      mathml:
       - "<math><mrow intent='beta-function($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: 
       - "https://mathworld.wolfram.com/BetaFunction.html"
       - "https://en.wikipedia.org/wiki/%CE%92(x,_y)"
       - "https://en.wikipedia.org/wiki/Beta_function_(physics)"
       - "https://en.wikipedia.org/wiki/Beta_function"
       - "https://dlmf.nist.gov/5.12"
       - "https://dlmf.nist.gov/5.12#E1"
       - "https://ncatlab.org/nlab/show/beta+function"
      alias:
       - euler-integral-of-the-first-kind
    
    - concept: betti-number
      arity: 1
      en: $1<i>th</i> betti number
      property: "indexed symbol"
      area: "graph theory"
      mathml:
       - "<math><msub intent='betti-number($a1)'><mi>b</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/BettiNumber.html"
       - "https://en.wikipedia.org/wiki/Betti_number"
       - "https://ncatlab.org/nlab/show/Betti+number"
       - "https://www.encyclopediaofmath.org/index.php/Betti_number"
    
    - concept: biconditional
      arity: 2
      en: $1 biconditional $2
      property: infix
      area: "logic"
      mathml:
       - "<math><mrow intent='biconditional($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>"
      urls: 
       - "https://mathworld.wolfram.com/Biconditional.html"
       - "https://ncatlab.org/nlab/show/biconditional"
      alias:
       - iff
       - if-and-only-if
    
    - concept: big-O
      arity: 1
      en: big O of $1
      property: prefix
      area: "complexity"
      mathml:
       - "<math><mrow intent='big-O($a1)'><mi>O</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Big_O_notation"
       - "https://mathworld.wolfram.com/O.html"
    
    - concept: bigeometric-integral
      arity: 1
      en: bigeometric integral of $1
      property: indexed
      area: "calculus"
      mathml:
       - "<math><mrow intent='bigeometric-integral($a1)'><mo>∫</mo><mrow><mo>(</mo><mi arg='a1'>f</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Product_integral"
    
    - concept: bijection
      arity: 3
      en: bijection, $1, of $2 to $3
      property: mixfix
      area: "set theory"
      mathml:
       - "<math><mrow intent='bijection($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"
    
    - concept: binary-golay-code
      arity: 0
      en: binary golay code
      property: symbol
      area: "coding theory"
      mathml:
       - "<math><msub intent='binary-golay-code'><mi>G</mi><mn>23</mn></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/BinaryGolayCode.html"
       - "https://ncatlab.org/nlab/show/binary+Golay+code"
    
    - concept: binomial-coefficient
      arity: 2
      en: binomial coefficient $1 choose $2
      property: "indexed function"
      area: "combinatorics"
      mathml:
       - "<math><mrow intent='binomial-coefficient($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: 
       - "https://mathworld.wolfram.com/BinomialCoefficient.html"
       - "https://en.wikipedia.org/wiki/Binomial_coefficient"
       - "https://dlmf.nist.gov/1.2#E1"
       - "https://dlmf.nist.gov/26.3#SS1.p1"
       - "https://www.encyclopediaofmath.org/index.php/Binomial_coefficients"
      alias:
       - combination
    
    - concept: binomial-distribution
      arity: 2
      en: binomial distribution $1 $2
      property: function
      area: "probability theory"
      mathml:
       - "<math><mrow intent='binomial-distribution($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"
       - "https://en.wikipedia.org/wiki/Binomial_distribution"
       - "https://www.encyclopediaofmath.org/index.php/Binomial_distribution"
    
    - concept: bit
      arity: 0
      en: bit
      property: symbol
      area: "computer science"
      mathml:
       - "<math><mn intent='bit'>0</mn></math>"
       - "<math><mn intent='bit'>1</mn></math>"
      urls: 
       - "https://mathworld.wolfram.com/Bit.html"
       - "https://en.wikipedia.org/wiki/Bit"
       - "https://www.encyclopediaofmath.org/index.php/Bit"
    
    - concept: bipolar-set
      arity: 1
      en: bipolar set of $1
      property: msup
      area: "functional analysis"
      mathml:
       - "<math><msup intent='bipolar-set($a1)'><mi arg='a1'>X</mi><mo>°°</mo></msup></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Polar_set"
       - "https://en.wikipedia.org/wiki/Polar_set_(potential_theory)"
       - "https://www.encyclopediaofmath.org/index.php/Polar_set"
    
    - concept: biquaternion
      arity: 1
      en: biquaternion of $1
      property: mtable
      area: "ring theory"
      mathml:
       - "<math><mrow intent='biquaternion($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"
    
    - concept: blaschke-product
      arity: 1
      en: blaschke product of $1
      property: function
      area: "complex analysis"
      mathml:
       - "<math><mrow intent='blaschke-product($a1)'><mi>B</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/BlaschkeProduct.html"
       - "https://en.wikipedia.org/wiki/Blaschke_product"
       - "https://www.encyclopediaofmath.org/index.php/Blaschke_product"
    
    - concept: bloch-constant
      arity: 0
      en: bloch constant
      property: symbol
      area: "complex analysis"
      mathml:
       - "<math><mi intent='bloch-constant'>B</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/BlochConstant.html"
       - "https://www.encyclopediaofmath.org/index.php/Bloch_constant"
    
    - concept: boolean-domain
      arity: 0
      en: boolean domain
      property: symbol
      area: "abstract algebra"
      mathml:
       - "<math><mi intent='boolean-domain'>𝔹</mi></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Boolean_domain"
       - "https://ncatlab.org/nlab/show/boolean+domain"
    
    - concept: bottom-type
      arity: 0
      en: bottom type
      property: symbol
      area: "category theory"
      mathml:
       - "<math><mi intent='bottom-type'>⊥</mi></math>"
      urls: 
       - "https://ncatlab.org/nlab/show/bottom"
       - "https://en.wikipedia.org/wiki/Bottom_type"
      alias:
       - empty-type
       - bottom
    
    - concept: bottom-element
      arity: 0
      en: bottom element
      property: symbol
      area: "order theory"
      mathml:
       - "<math><mi intent='bottom-element'>⊥</mi></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Greatest_element_and_least_element"
      alias:
       - bottom
       - least-element
    
    - concept: boundary
      arity: 1
      en: boundary of $1
      property: function
      area: "topology"
      mathml:
       - "<math><mrow intent='boundary($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>"
      urls: 
       - "https://mathworld.wolfram.com/Boundary.html"
       - "https://en.wikipedia.org/wiki/Boundary_(topology)"
       - "https://ncatlab.org/nlab/show/boundary"
       - "https://www.encyclopediaofmath.org/index.php/Boundary"
      alias:
       - frontier
    
    - concept: bounded-variation
      arity: 1
      en: bounded variation of $1
      property: function
      area: "analysis"
      mathml:
       - "<math><mrow intent='bounded-variation($a1)'><mi>BV</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/BoundedVariation.html"
       - "https://en.wikipedia.org/wiki/Bounded_variation"
    
    - concept: box-product
      arity: 2
      en: $1 box product $2
      property: infix
      area: "graph theory"
      mathml:
       - "<math><mrow intent='box-product($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"
      alias:
       - cartesian-product
    
    - concept: brauer-group
      arity: 1
      en: brauer group of $1
      property: function
      area: "group theory"
      mathml:
       - "<math><mrow intent='brauer-group($a1)'><mi>Br</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/BrauerGroup.html"
       - "https://en.wikipedia.org/wiki/Brauer_group"
       - "https://ncatlab.org/nlab/show/Brauer+group"
       - "https://www.encyclopediaofmath.org/index.php/Brauer_group"
    
    - concept: brun-constant
      arity: 0
      en: brun constant
      property: symbol
      area: "number theory"
      mathml:
       - "<math><msub intent='brun-constant'><mi>B</mi><mn>4</mn></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/BrunsConstant.html"
       - "https://en.wikipedia.org/wiki/Brun%27s_theorem"
    
    - concept: burnside-group
      arity: 1
      en: burnside group of $1
      property: function
      area: "group theory"
      mathml:
       - "<math><mrow intent='burnside-group($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"
    
    - concept: cahen-constant
      arity: 0
      en: cahen constant
      property: symbol
      area: "number theory"
      mathml:
       - "<math><mi intent='cahen-constant'>C</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/CahensConstant.html"
       - "https://en.wikipedia.org/wiki/Cahen%27s_constant"
    
    - concept: calderon-toeplitz-operator
      arity: 2
      en: calderon toeplitz operator $1 $2
      property: "indexed symbol"
      area: "operator theory"
      mathml:
       - "<math><mrow intent='calderon-toeplitz-operator($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"
    
    - concept: canonical-commutation-relation
      arity: 2
      en: canonical commutation relation
      property: fenced
      area: "quantum mechanics"
      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"
    
    - concept: cap-product
      arity: 2
      en: $1 cap product $2
      property: infix
      area: "algebraic topology"
      mathml:
       - "<math><mrow intent='cap-product($a1,$a2)'><mi arg='a1'>X</mi><mo>⌢</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Cap_product"
       - "https://ncatlab.org/nlab/show/cap+product"
    
    - concept: cardinality
      arity: 1
      en: cardinality of $1
      property: many
      area: "set theory"
      mathml:
       - "<math><mrow intent='cardinality($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: 
       - "https://mathworld.wolfram.com/Cardinality.html"
       - "https://en.wikipedia.org/wiki/Cardinality"
       - "https://www.encyclopediaofmath.org/index.php/Cardinality"
      alias:
       - size
    
    - concept: carmichael-function
      arity: 1
      en: carmichael function of $1
      property: function
      area: "number theory"
      mathml:
       - "<math><mrow intent='carmichael-function($a1)'><mi>λ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/CarmichaelFunction.html"
       - "https://en.wikipedia.org/wiki/Carmichael_function"
    
    - concept: cartesian-product
      arity: 2
      en: $1 cartesian product $2
      property: infix
      area: "set theory"
      mathml:
       - "<math><mrow intent='cartesian-product($a1,$a2)'><mi arg='a1'>X</mi><mo>×</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/CartesianProduct.html"
       - "https://en.wikipedia.org/wiki/Cartesian_product"
       - "https://en.wikipedia.org/wiki/Cartesian_product_of_graphs"
       - "https://ncatlab.org/nlab/show/cartesian+product"
       - "https://www.encyclopediaofmath.org/index.php/Cartesian_product"
    
    - concept: casimir-element
      arity: 0
      en: casimir element
      property: symbol
      area: "lie algebra"
      mathml:
       - "<math><mi intent='casimir-element'>Ω</mi></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Casimir_element"
    
    - concept: catalan-constant
      arity: 0
      en: catalan constant
      property: symbol
      area: "combinatorics"
      mathml:
       - "<math><mi intent='catalan-constant'>G</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/CatalansConstant.html"
       - "https://en.wikipedia.org/wiki/Catalan%27s_constant"
       - "https://www.encyclopediaofmath.org/index.php/Catalan_constant"
    
    - concept: catalan-number
      arity: 1
      en: $1<i>th</i> catalan number
      property: "indexed symbol"
      area: "combinatorics"
      mathml:
       - "<math><msub intent='catalan-number($a1)'><mi>C</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/CatalanNumber.html"
       - "https://en.wikipedia.org/wiki/Catalan_number"
       - "https://dlmf.nist.gov/26.5#E1"
    
    - concept: category-of-algebraic-lattices
      arity: 0
      en: category of algebraic lattices
      property: symbol
      area: "universal algebra"
      mathml:
       - "<math><mi intent='category-of-algebraic-lattices'>AlgCat</mi></math>"
      urls: 
       - "https://ncatlab.org/nlab/show/algebraic+lattice"
    
    - concept: category-of-sets
      arity: 0
      en: category of sets
      property: symbol
      area: "category theory"
      mathml:
       - "<math><mi intent='category-of-sets'>Set</mi></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Category_of_sets"
       - "https://www.encyclopediaofmath.org/index.php/Category_of_a_set"
       - "https://www.encyclopediaofmath.org/index.php/Category_of_sets"
    
    - concept: category-of-small-categories
      arity: 0
      en: category of small categories
      property: symbol
      area: "category theory"
      mathml:
       - "<math><mi intent='category-of-small-categories'>Cat</mi></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Category_of_small_categories"
    
    - concept: cauchy-principal-value
      arity: 1
      en: cauchy principal value of $1
      property: function
      area: "analysis"
      mathml:
       - "<math><mrow intent='cauchy-principal-value($a1)'><mi>p.v.</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/CauchyPrincipalValue.html"
       - "https://en.wikipedia.org/wiki/Cauchy_principal_value"
       - "https://dlmf.nist.gov/1.4#E24"
       - "https://ncatlab.org/nlab/show/Cauchy+principal+value"
    
    - concept: cauchy-product
      arity: 2
      en: $1 cauchy product $2
      property: infix
      area: "analysis"
      mathml:
       - "<math><mrow intent='cauchy-product($a1,$a2)'><mi arg='a1'>X</mi><mo>⋅</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/CauchyProduct.html"
       - "https://en.wikipedia.org/wiki/Cauchy_product"
    
    - concept: cavitation-number
      arity: 0
      en: cavitation number
      property: symbol
      area: "physics"
      mathml:
       - "<math><mi intent='cavitation-number'>Ca</mi></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Euler_number_(physics)#Cavitation_number"
    
    - concept: cayley-table
      arity: 1
      en: cayley table of $1
      property: mtable
      area: "group theory"
      mathml:
       - "<math><mrow intent='cayley-table($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"
       - "https://en.wikipedia.org/wiki/Cayley_table"
       - "https://www.encyclopediaofmath.org/index.php/Cayley_table"
    
    - concept: ceiling
      arity: 1
      en: ceiling of $1
      property: fenced, function
      area: "number theory"
      mathml:
       - "<math><mrow intent='ceiling($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>"
       - "<math><mrow intent='ceiling($a1)'><mi>ceil</mi><mrow><mo>(</mo><mi arg='a1'>X</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Floor_and_ceiling_functions"
       - "https://youtu.be/RxNs4SwP6lk"
    
    - concept: center
      arity: 1
      en: center of $1
      property: function
      area: "algebra"
      mathml:
       - "<math><mrow intent='center($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)"
       - "https://en.wikipedia.org/wiki/Center_(algebra)"
       - "https://ncatlab.org/nlab/show/center"
      alias:
       - centre
    
    - concept: centralizer
      arity: 1
      en: centralizer of $1
      property: function
      area: "group theory"
      mathml:
       - "<math><msub intent='centralizer($a1)'><mi>C</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/Centralizer.html"
       - "https://en.wikipedia.org/wiki/Centralizer_and_normalizer"
       - "https://ncatlab.org/nlab/show/centralizer"
       - "https://www.encyclopediaofmath.org/index.php/Centralizer"
    
    - concept: chain
      arity: 1
      en: $1 chains
      property: unit
      area: "imperial units"
      mathml:
       - "<math><mrow intent='chain($a1)'><mi arg='a1'>x</mi><mo>&#x2009;</mo><mi>chain</mi></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Chain_(unit)"
    
    - concept: champernowne-constant
      arity: 0
      en: champernowne constant
      property: constant
      area: "number theory"
      mathml:
       - "<math><mi intent='champernowne-constant'>C</mi></math>"
       - "<math><msup intent='champernowne-constant'><mi>C</mi><mn>10</mn></msup></math>"
      urls: 
       - "https://mathworld.wolfram.com/ChampernowneConstant.html"
       - "https://en.wikipedia.org/wiki/Champernowne_constant"
    
    - concept: character
      arity: 1
      en: character of $1
      property: "indexed function"
      area: "group theory"
      mathml:
       - "<math><mrow intent='character($a1)'><mi>χ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/Character.html"
       - "https://en.wikipedia.org/wiki/Character_(mathematics)"
       - "https://en.wikipedia.org/wiki/Event-driven_finite-state_machine"
       - "https://en.wikipedia.org/wiki/Character_theory"
       - "https://en.wikipedia.org/wiki/Multiplicative_character"
       - "https://ncatlab.org/nlab/show/character"
    
    - concept: characteristic
      arity: 1
      en: characteristic of $1
      property: function
      area: "ring theory"
      mathml:
       - "<math><mrow intent='characteristic($a1)'><mi>char</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/Characteristic.html"
       - "https://en.wikipedia.org/wiki/Characteristic_(algebra)"
       - "https://ncatlab.org/nlab/show/characteristic"
       - "https://www.encyclopediaofmath.org/index.php/Characteristic"
    
    - concept: characteristic-function
      arity: 1
      en: characteristic function of $1
      property: "indexed function, function"
      area: "probability theory"
      mathml:
       - "<math><msub intent='characteristic-function($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: 
       - "https://mathworld.wolfram.com/CharacteristicFunction.html"
       - "https://en.wikipedia.org/wiki/Characteristic_function_(probability_theory)"
       - "https://en.wikipedia.org/wiki/Indicator_function"
       - "https://en.wikipedia.org/wiki/Characteristic_function_(convex_analysis)"
       - "https://ncatlab.org/nlab/show/characteristic+function"
       - "https://www.encyclopediaofmath.org/index.php/Characteristic_function"
       - "https://en.wikipedia.org/wiki/Expected_value#Interchanging_limits_and_expectation"
      alias:
       - indicator-function
    
    - concept: characteristic-subgroup
      arity: 2
      en: $1 characteristic subgroup $2
      property: infix
      area: "group theory"
      mathml:
       - "<math><mrow intent='characteristic-subgroup($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"
       - "https://www.encyclopediaofmath.org/index.php/Characteristic_subgroup"
    
    - concept: charlier-polynomial
      arity: 1
      en: charlier polynomial of $1
      property: function
      area: "special functions"
      mathml:
       - "<math><msub intent='charlier-polynomial($a1)'><mi>C</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/CharlierPolynomial.html"
       - "https://en.wikipedia.org/wiki/Charlier_polynomials"
       - "https://dlmf.nist.gov/18.19#T1.t1.r11"
       - "https://www.encyclopediaofmath.org/index.php/Charlier_polynomials"
    
    - concept: chebyshev-polynomial-of-first-kind
      arity: 1
      en: chebyshev polynomial of first kind of $1
      property: function
      area: "number theory"
      mathml:
       - "<math><mrow intent='chebyshev-polynomial-of-first-kind($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>"
      urls: 
       - "https://mathworld.wolfram.com/ChebyshevPolynomialoftheFirstKind.html"
       - "https://en.wikipedia.org/wiki/Chebyshev_polynomials"
       - "https://dlmf.nist.gov/18.3#T1.t1.r8"
      alias:
       - first-chebyshev-function
    
    - concept: chebyshev-polynomial-of-second-kind
      arity: 1
      en: chebyshev polynomial of second kind of $1
      property: function
      area: "number theory"
      mathml:
       - "<math><mrow intent='chebyshev-polynomial-of-second-kind($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: 
       - "https://mathworld.wolfram.com/ChebyshevPolynomialoftheSecondKind.html"
       - "https://en.wikipedia.org/wiki/Chebyshev_polynomials"
       - "https://dlmf.nist.gov/18.3#T1.t1.r11"
      alias:
       - second-chebyshev-function
    
    - concept: cheeger-constant
      arity: 1
      en: cheeger constant of $1
      property: function
      area: "Riemannian geometry"
      mathml:
       - "<math><mrow intent='cheeger-constant($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"
    
    - concept: cheeger-number
      arity: 1
      en: cheeger number of $1
      property: function
      area: "graph theory"
      mathml:
       - "<math><mrow intent='cheeger-number($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)"
      alias:
       - cheeger-constant
       - isoperimetric-number
    
    - concept: chemical-equilibrium
      arity: 2
      en: $1 chemical equilibrium $2
      property: infix
      area: "chemistry"
      mathml:
       - "<math><mrow intent='chemical-equilibrium($a1,$a2)'><mi arg='a1'>X</mi><mo>⇌</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Chemical_equilibrium"
      alias:
       - equilibrium
    
    - concept: chi-squared-distribution
      arity: 0
      en: chi squared distribution
      property: symbol
      area: "probability theory"
      mathml:
       - "<math><msup intent='chi-squared-distribution'><mi>χ</mi><mn>2</mn></msup></math>"
      urls: 
       - "https://mathworld.wolfram.com/Chi-SquaredDistribution.html"
       - "https://en.wikipedia.org/wiki/Chi-squared_distribution"
       - "https://www.encyclopediaofmath.org/index.php/Chi-squared_distribution"
    
    - concept: chord
      arity: 1
      en: chord of $1
      property: function
      area: "geometry"
      mathml:
       - "<math><mrow intent='chord($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)"
    
    - concept: christoffel-symbol-of-first-kind
      arity: 3
      en: christoffel symbol of first kind of $1, $2, $3
      property: "indexed symbol"
      area: "Riemannian geometry"
      mathml:
       - "<math><mrow intent='christoffel-symbol-of-first-kind($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"
       - "https://en.wikipedia.org/wiki/Christoffel_symbols"
       - "https://ncatlab.org/nlab/show/Christoffel+symbols"
       - "https://www.encyclopediaofmath.org/index.php/Christoffel_symbol"
    
    - concept: christoffel-symbol-of-second-kind
      arity: 3
      en: christoffel symbol of second kind of $1 $2 $3
      property: "indexed symbol"
      area: "Riemannian geometry"
      mathml:
       - "<math><mmultiscripts intent='christoffel-symbol-of-second-kind($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"
       - "https://en.wikipedia.org/wiki/Christoffel_symbols"
       - "https://ncatlab.org/nlab/show/Christoffel+symbols"
       - "https://www.encyclopediaofmath.org/index.php/Christoffel_symbol"
    
    - concept: chromatic-polynomial
      arity: 1
      en: chromatic polynomial of $1
      property: function
      area: "graph theory"
      mathml:
       - "<math><msub intent='chromatic-polynomial($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>"
      urls: 
       - "https://mathworld.wolfram.com/ChromaticPolynomial.html"
       - "https://en.wikipedia.org/wiki/Chromatic_polynomial"
    
    - concept: classifying-space
      arity: 1
      en: classifying space of $1
      property: function
      area: "group theory"
      mathml:
       - "<math><mrow intent='classifying-space($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: 
       - "https://en.wikipedia.org/wiki/Classifying_space"
       - "https://ncatlab.org/nlab/show/classifying+space"
       - "https://www.encyclopediaofmath.org/index.php/Classifying_space"
    
    - concept: clausen-function
      arity: 1
      en: clausen function of $1
      property: function
      area: "special functions"
      mathml:
       - "<math><mrow intent='clausen-function($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"
    
    - concept: clebsch-gordan-coefficient
      arity: 8
      en: clebsch gordan coefficient $1 $2 $3 $4 $5 $6 $7 $8
      property: fenced
      area: "special functions"
      mathml:
       - "<math><mrow intent='clebsch-gordan-coefficient($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: 
       - "https://mathworld.wolfram.com/Clebsch-GordanCoefficient.html"
       - "https://en.wikipedia.org/wiki/Clebsch%E2%80%93Gordan_coefficients"
       - "https://dlmf.nist.gov/34.1#p4"
       - "https://ncatlab.org/nlab/show/Clebsch-Gordan+coefficient"
    
    - concept: clifford-algebra
      arity: 1
      en: clifford algebra of $1
      property: function
      area: "universal algebra"
      mathml:
       - "<math><mrow intent='clifford-algebra($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"
    
    - concept: clique
      arity: 0
      en: clique
      property: symbol
      area: "graph theory"
      mathml:
       - "<math><mi intent='clique'>C</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/Clique.html"
       - "https://en.wikipedia.org/wiki/Clique_(graph_theory)"
       - "https://ncatlab.org/nlab/show/clique"
    
    - concept: clique-number
      arity: 1
      en: clique number of $1
      property: function
      area: "graph theory"
      mathml:
       - "<math><mrow intent='clique-number($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"
    
    - concept: closed-ball
      arity: 2
      en: closed ball $1 $2
      property: mixfix
      area: "topology"
      mathml:
       - "<math><mrow intent='closed-ball($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"
       - "https://en.wikipedia.org/wiki/Ball_(mathematics)"
      alias:
       - closed-metric-ball
    
    - concept: closed-interval
      arity: 2
      en: closed interval
      property: fenced
      area: "calculus"
      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"
       - "https://dlmf.nist.gov/front/introduction#Sx4.p1.t1.r29"
    
    - concept: closed-neighbourhood
      arity: 2
      en: closed neighbourhood of $2 in $1
      property: "indexed function, function"
      area: "graph theory"
      mathml:
       - "<math><mrow intent='closed-neighbourhood($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)"
    
    - concept: closure
      arity: 1
      en: closure of $1
      property: "function, msup"
      area: "abstract algebra,, topology"
      mathml:
       - "<math><mrow intent='closure($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>"
      urls: 
       - "https://mathworld.wolfram.com/Closure.html"
       - "https://en.wikipedia.org/wiki/Congruence_closure"
       - "https://en.wikipedia.org/wiki/Closure_(mathematics)"
       - "https://en.wikipedia.org/wiki/Closure_(topology)"
       - "https://en.wikipedia.org/wiki/Closure_problem"
    
    - concept: codimension
      arity: 1
      en: codimension of $1
      property: function
      area: "linear algebra"
      mathml:
       - "<math><mrow intent='codimension($a1)'><mi>codim</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/Codimension.html"
       - "https://en.wikipedia.org/wiki/Codimension"
       - "https://ncatlab.org/nlab/show/codimension"
       - "https://www.encyclopediaofmath.org/index.php/Codimension"
    
    - concept: cofinality
      arity: 1
      en: cofinality of $1
      property: function
      area: "order theory"
      mathml:
       - "<math><mrow intent='cofinality($a1)'><mi>cf</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Cofinality"
       - "https://ncatlab.org/nlab/show/cofinality"
    
    - concept: cofinite-filter
      arity: 0
      en: cofinite filter
      property: symbol
      area: "order theory"
      mathml:
       - "<math><mi intent='cofinite-filter'>F</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/CofiniteFilter.html"
       - "https://en.wikipedia.org/wiki/Fr%C3%A9chet_filter"
      alias:
       - frechet-filter
    
    - concept: coherence
      arity: 1
      en: coherence of $1
      property: "indexed function"
      area: "signal processing, quantum physics"
      mathml:
       - "<math><mrow intent='coherence($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: 
       - "https://en.wikipedia.org/wiki/Coherence_(signal_processing)"
       - "https://en.wikipedia.org/wiki/Coherence_(physics)"
    
    - concept: coimage
      arity: 1
      en: coimage of $1
      property: function
      area: "abstract algebra"
      mathml:
       - "<math><mrow intent='coimage($a1)'><mi>coim</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Coimage"
       - "https://ncatlab.org/nlab/show/coimage"
    
    - concept: cokernel
      arity: 1
      en: cokernel of $1
      property: function
      area: "category theory"
      mathml:
       - "<math><mrow intent='cokernel($a1)'><mi>coker</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/Cokernel.html"
       - "https://en.wikipedia.org/wiki/Cokernel"
       - "https://ncatlab.org/nlab/show/cokernel"
       - "https://www.encyclopediaofmath.org/index.php/Cokernel"
    
    - concept: column-vector
      arity: ">=0"
      en: column vector of $1 $2 ...
      property: mtable
      area: "linear algebra"
      mathml:
       - "<math><mrow intent='column-vector($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"
       - "https://en.wikipedia.org/wiki/Column_vector"
    
    - concept: comma-category
      arity: 2
      en: comma category $1 $2
      property: mixfix
      area: "category theory"
      mathml:
       - "<math><mrow intent='comma-category($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"
    
    - concept: commutator
      arity: 2
      en: commutator
      property: fenced
      area: "abstract algebra"
      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"
       - "https://en.wikipedia.org/wiki/Commutator"
       - "https://ncatlab.org/nlab/show/commutator"
       - "https://www.encyclopediaofmath.org/index.php/Commutator"
    
    - concept: commutator-subgroup
      arity: 1
      en: commutator subgroup of $1
      property: msup, fenced
      area: "abstract algebra"
      mathml:
       - "<math><msup intent='commutator-subgroup($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>"
      notationb: "msup $1 (1)"
      notationa: "mrow [ $1, $1 ]"
      urls: 
       - "https://mathworld.wolfram.com/CommutatorSubgroup.html"
       - "https://en.wikipedia.org/wiki/Commutator_subgroup"
       - "https://en.wikipedia.org/wiki/Derived_series"
       - "https://ncatlab.org/nlab/show/commutator+subgroup"
       - "https://www.encyclopediaofmath.org/index.php/Commutator_subgroup"
      alias:
       - derived-subgroup
    
    - concept: companion-lehmer-number
      arity: 1
      en: companion lehmer number of $1
      property: "indexed function"
      area: "number theory"
      mathml:
       - "<math><msub intent='companion-lehmer-number($a1)'><mi>V</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/LehmerNumber.html"
       - "https://mathworld.wolfram.com/LehmersNumber.html"
       - "https://en.wikipedia.org/wiki/Lehmer_number"
    
    - concept: comparability
      arity: 2
      en: $1 comparability $2
      property: infix
      area: "order theory"
      mathml:
       - "<math><mrow intent='comparability($a1,$a2)'><mi arg='a1'>X</mi><mo>⪋</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Comparability"
      alias:
       - comparable
    
    - concept: complement-of-interval
      arity: 2
      en: complement of interval
      property: fenced
      area: "order theory"
      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)"
    
    - concept: complementary-nome
      arity: 1
      en: complementary nome of $1
      property: function
      area: "special functions"
      mathml:
       - "<math><mrow intent='complementary-nome($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"
       - "https://en.wikipedia.org/wiki/Nome_(mathematics)"
    
    - concept: complete-graph
      arity: 1
      en: complete graph
      property: symbol
      area: "graph theory"
      mathml:
       - "<math><msub intent='complete-graph($a1)'><mi>K</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/CompleteGraph.html"
       - "https://en.wikipedia.org/wiki/Complete_graph"
      alias:
       - "Also complete bipartite graph: `K_{n,m}`"
    
    - concept: complex-conjugate
      arity: 1
      en: complex conjugate of $1
      property: msup
      area: "complex analysis"
      mathml:
       - "<math><msup intent='complex-conjugate($a1)'><mi arg='a1'>X</mi><mo>*</mo></msup></math>"
      notationa: "mover $1 ¯"
      urls: 
       - "https://mathworld.wolfram.com/ComplexConjugate.html"
       - "https://en.wikipedia.org/wiki/Complex_conjugate"
       - "https://dlmf.nist.gov/1.9#E11"
    
    - concept: complex-projective-space
      arity: 0
      en: complex projective space
      property: symbol
      area: "projective geometry"
      mathml:
       - "<math><mi intent='complex-projective-space'>ℂ⁢</mi><mi>ℙ</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/ProjectiveSpace.html"
       - "https://en.wikipedia.org/wiki/Algebraic_geometry_of_projective_spaces"
       - "https://en.wikipedia.org/wiki/Projective_space"
       - "https://ncatlab.org/nlab/show/projective+space"
       - "https://www.encyclopediaofmath.org/index.php/Projective_space"
    
    - concept: complexification
      arity: 1
      en: complexification of $1
      property: msup
      area: "complex manifolds"
      mathml:
       - "<math><msup intent='complexification($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: 
       - "https://en.wikipedia.org/wiki/Complexification"
       - "https://ncatlab.org/nlab/show/complexification"
       - "https://www.encyclopediaofmath.org/index.php/Complexification_of_a_vector_space"
      alias:
       - complexification-of-vector-space
    
    - concept: composition
      arity: 2
      en: $1 composition $2
      property: infix
      area: "algebra"
      mathml:
       - "<math><mrow intent='composition($a1,$a2)'><mi arg='a1'>X</mi><mo>∘</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/Composition.html"
       - "https://ncatlab.org/nlab/show/composition"
       - "https://www.encyclopediaofmath.org/index.php/Composition"
      alias:
       - compose
    
    
    
    - concept: compound-interest-nominal-rate
      arity: 1
      en: nominal rate
      property: msup
      area: "finance"
      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"
       - "https://en.wikipedia.org/wiki/Compound_interest"
    
    - concept: concentration
      arity: 1
      en: concentration of $1
      property: fenced
      area: "chemistry"
      mathml:
       - "<math><mrow intent='concentration($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"
    
    - concept: condition-number
      arity: 1
      en: condition number of $1
      property: function
      area: "numerical analysis"
      mathml:
       - "<math><mrow intent='condition-number($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"
       - "https://dlmf.nist.gov/3.2#SS5.p1"
       - "https://www.encyclopediaofmath.org/index.php/Condition_number"
    
    - concept: conditional-expectation
      arity: 2
      en: conditional expectation $1 $2
      property: mixfix
      area: "probability theory"
      mathml:
       - "<math><mrow intent='conditional-expectation($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"
       - "https://ncatlab.org/nlab/show/conditional+expectation"
    
    - concept: conditional-probability
      arity: 2
      en: conditional probability $1 $2
      property: mixfix
      area: "probability theory"
      mathml:
       - "<math><mrow intent='conditional-probability($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"
       - "https://en.wikipedia.org/wiki/Conditional_probability"
       - "https://www.encyclopediaofmath.org/index.php/Conditional_probability"
    
    - concept: conductor
      arity: 1
      en: conductor of $1
      property: function
      area: "algebraic number theory"
      mathml:
       - "<math><mrow intent='conductor($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)"
    
    - concept: contraction-operator
      arity: 2
      en: $1 contraction operator $2
      property: infix
      area: "algebraic geometry"
      mathml:
       - "<math><mrow intent='contraction-operator($a1,$a2)'><mi arg='a1'>X</mi><mo>⌟</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://arxiv.org/abs/1104.1240"
    
    - concept: contrast-function
      arity: 2
      en: contrast function $1 $2
      property: mixfix
      area: "statistics"
      mathml:
       - "<math><mrow intent='contrast-function($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)"
      alias:
       - divergence
    
    - concept: configuration
      arity: 4
      en: "configuration $1 sub $2, $3 sub $4"
      property: mixfix
      area: "geometry"
      mathml:
       - "<math><mrow intent='configuration($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"
       - "https://en.wikipedia.org/wiki/Configuration_(geometry)"
       - "https://www.encyclopediaofmath.org/index.php/Configuration"
    
    - concept: congruence-relation
      arity: 2
      en: $1 congruence relation $2
      property: infix
      area: "algebra, geometry"
      mathml:
       - "<math><mrow intent='congruence-relation($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: 
       - "https://en.wikipedia.org/wiki/Congruence_relation"
       - "https://mathworld.wolfram.com/Congruence.html"
       - "https://en.wikipedia.org/wiki/Congruence_(general_relativity)"
       - "https://en.wikipedia.org/wiki/Congruence_(manifolds)"
       - "https://en.wikipedia.org/wiki/Congruence_(geometry)"
       - "https://ncatlab.org/nlab/show/congruence"
       - "https://www.encyclopediaofmath.org/index.php/Congruence"
      alias:
       - congruence
       - congruent
    
    - concept: conjugacy-class
      arity: 1
      en: conjugacy class of $1
      property: function
      area: "group theory"
      mathml:
       - "<math><mrow intent='conjugacy-class($a1)'><mi>Cl</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/ConjugacyClass.html"
       - "https://en.wikipedia.org/wiki/Conjugacy_class"
       - "https://ncatlab.org/nlab/show/conjugacy+class"
    
    - concept: conjugate-transpose
      arity: 1
      en: conjugate transpose of $1
      property: msup
      area: "linear algebra"
      mathml:
       - "<math><msup intent='conjugate-transpose($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: 
       - "https://mathworld.wolfram.com/ConjugateTranspose.html"
       - "https://en.wikipedia.org/wiki/Conjugate_transpose"
    
    - concept: connected-sum
      arity: 2
      en: $1 connected sum $2
      property: infix
      area: "topology"
      mathml:
       - "<math><mrow intent='connected-sum($a1,$a2)'><mi arg='a1'>X</mi><mo>#</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/ConnectedSum.html"
       - "https://en.wikipedia.org/wiki/Connected_sum"
       - "https://www.encyclopediaofmath.org/index.php/Connected_sum"
    
    - concept: connectivity
      arity: 1
      en: connectivity of $1
      property: function
      area: "graph theory"
      mathml:
       - "<math><mrow intent='connectivity($a1)'><mi>κ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/Connectivity.html"
       - "https://en.wikipedia.org/wiki/Connectivity_(graph_theory)"
       - "https://www.encyclopediaofmath.org/index.php/Connectivity"
    
    - concept: constant-of-integration
      arity: 0
      en: constant of integration
      property: constant
      area: "calculus"
      mathml:
       - "<math><mi intent='constant-of-integration'>C</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/ConstantofIntegration.html"
       - "https://en.wikipedia.org/wiki/Constant_of_integration"
    
    - concept: containment
      arity: 2
      en: $1 containment $2
      property: infix
      area: "computer science"
      mathml:
       - "<math><mrow intent='containment($a1,$a2)'><mi arg='a1'>X</mi><mo>≤</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Encompassment_ordering"
       - "https://en.wikipedia.org/wiki/Subset"
       - "https://en.wikipedia.org/wiki/%E2%8A%83"
      alias:
       - encompassment
    
    - concept: contingency-table
      arity: 1
      en: contingency table of $1
      property: mtable
      area: "statistics"
      mathml:
       - "<math><mrow intent='contingency-table($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"
       - "https://en.wikipedia.org/wiki/Contingency_table"
      alias:
       - two-way-frequency-table
    
    - concept: continued-fraction
      arity: 1
      en: continued fraction $1
      property: mixfix
      area: "number theory"
      mathml:
       - "<math><mrow intent='periodic-continued-fraction($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"
       - "https://en.wikipedia.org/wiki/Continued_fraction"
       - "https://dlmf.nist.gov/1.12#i"
       - "https://ncatlab.org/nlab/show/continued+fraction"
       - "https://www.encyclopediaofmath.org/index.php/Continued_fraction"
      alias:
       - anthyphairetic-ratio
       - chain-fraction
    
    - concept: continuum
      arity: 0
      en: continuum
      property: constant
      area: "set theory"
      mathml:
       - "<math><mi intent='continuum'>𝔠</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/Continuum.html"
       - "https://en.wikipedia.org/wiki/List_of_continuity-related_topics"
       - "https://en.wikipedia.org/wiki/Linear_continuum"
       - "https://en.wikipedia.org/wiki/Continuum_(set_theory)"
       - "https://en.wikipedia.org/wiki/Continuum_(topology)"
       - "https://ncatlab.org/nlab/show/continuum"
       - "https://www.encyclopediaofmath.org/index.php/Continuum"
    
    - concept: contradiction
      arity: 0
      en: contradiction
      property: constant
      area: "logic"
      mathml:
       - "<math><mo intent='contradiction'>⊥</mo></math>"
      urls: 
       - "https://mathworld.wolfram.com/Contradiction.html"
       - "https://en.wikipedia.org/wiki/Contradiction"
       - "https://ncatlab.org/nlab/show/contradiction"
    
    - concept: converge
      arity: 1
      en: $1 converges
      property: postfix
      area: "computer science"
      mathml:
       - "<math><mrow intent='converge($a1)'><mi arg='a1'>x</mi><mo>↓</mo></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Divergence_(computer_science)"
      alias:
       - convergence
    
    - concept: converse
      arity: 1
      en: converse of $1
      property: msup
      area: "relational algebra"
      mathml:
       - "<math><msup intent='converse($a1)'><mi arg='a1'>X</mi><mo>˘</mo></msup></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Relation_algebra"
      alias:
       - reciprocal
    
    - concept: converse-graph
      arity: 1
      en: converse graph of $1
      property: msup
      area: "graph theory"
      mathml:
       - "<math><msup intent='converse-graph($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>"
      urls: 
       - "https://en.wikipedia.org/wiki/Transpose_graph"
      alias:
       - transpose-graph
       - reverse-graph
    
    - concept: convolution
      arity: 2
      en: $1 convolution $2
      property: infix
      area: "functional analysis"
      mathml:
       - "<math><mrow intent='convolution($a1,$a2)'><mi arg='a1'>X</mi><mo>∗</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/Convolution.html"
       - "https://en.wikipedia.org/wiki/List_of_convolutions_of_probability_distributions"
       - "https://en.wikipedia.org/wiki/Convolution_(computer_science)"
       - "https://en.wikipedia.org/wiki/Convolution"
      alias:
       - convolve
    
    - concept: conway-group
      arity: 0
      en: conway group
      property: symbol
      area: "group theory"
      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>"
       - "<math><msub intent='conway-group'><mi>Co</mi><mn>3</mn></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/ConwayGroups.html"
       - "https://en.wikipedia.org/wiki/Conway_group"
       - "https://en.wikipedia.org/wiki/Conway_group_Co1"
       - "https://en.wikipedia.org/wiki/Conway_group_Co2"
       - "https://en.wikipedia.org/wiki/Conway_group_Co3"
    
    - concept: coprime
      arity: 2
      en: $1 coprime $2
      property: infix
      area: "number theory"
      mathml:
       - "<math><mrow intent='coprime($a1,$a2)'><mi arg='a1'>X</mi><mo>⊥</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/Coprime.html"
       - "https://en.wikipedia.org/wiki/Coprime_integers"
      alias:
       - relatively-prime
       - mutually-prime
    
    - concept: coproduct
      arity: 2
      en: coproduct of $1 and $2
      property: indexed
      area: "topology, category theory"
      mathml:
       - "<math><mrow intent='coproduct($a1,$a2)'><mi arg='a1'>X</mi><mo>⊔</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/Coproduct.html"
       - "https://en.wikipedia.org/wiki/Disjoint_union_(topology)"
       - "https://en.wikipedia.org/wiki/Coproduct"
       - "https://ncatlab.org/nlab/show/coproduct"
       - "https://www.encyclopediaofmath.org/index.php/Coproduct"
    
    - concept: correlation
      arity: 1
      en: correlation of $1
      property: function
      area: "statistics"
      mathml:
       - "<math><mrow intent='correlation($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"
    
    - concept: correlation-ratio
      arity: 0
      en: correlation ratio
      property: symbol
      area: "statistics"
      mathml:
       - "<math><mi intent='correlation-ratio'>η</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/CorrelationRatio.html"
       - "https://en.wikipedia.org/wiki/Correlation_ratio"
       - "https://www.encyclopediaofmath.org/index.php/Correlation_ratio"
    
    - concept: cosine-integral
      arity: 1
      en: cosine integral of $1
      property: operator
      area: "special-functions"
      mathml:
       - "<math><mrow intent='cosine-integral($a1)'><mi>Ci</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/CosineIntegral.html"
       - "https://dlmf.nist.gov/6.2#ii"
       - "https://dlmf.nist.gov/6.2#E11"
       - "https://dlmf.nist.gov/6.2#E12"
    
    - concept: coupling-constant
      arity: 0
      en: coupling constant
      property: symbol
      area: "gauge theory"
      mathml:
       - "<math><mi intent='coupling-constant'>g</mi></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Coupling_constant"
      alias:
       - gauge-coupling-parameter
       - coupling
    
    - concept: covariance
      arity: 1
      en: covariance of $1
      property: function
      area: "statistics"
      mathml:
       - "<math><mrow intent='covariance($a1)'><mi>cov</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/Covariance.html"
       - "https://en.wikipedia.org/wiki/Covariance_operator"
       - "https://en.wikipedia.org/wiki/Covariance"
       - "https://en.wikipedia.org/wiki/Covariance_and_contravariance_of_vectors"
       - "https://www.encyclopediaofmath.org/index.php/Covariance"
    
    - concept: covariant-derivative
      arity: 1
      en: covariant derivative of $1
      property: "indexed operator"
      area: "differential geometry"
      mathml:
       - "<math><msub intent='covariant-derivative($a1)'><mi>∇</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/CovariantDerivative.html"
       - "https://en.wikipedia.org/wiki/Covariant_derivative"
       - "https://ncatlab.org/nlab/show/covariant+derivative"
       - "https://www.encyclopediaofmath.org/index.php/Covariant_derivative"
    
    - concept: covariation
      arity: 3
      en: covariation of $1 and $2 over $3
      property: indexed fenced
      area: "stochastic processes"
      mathml:
       - "<math><mrow intent='covariation($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"
      alias:
       - cross-variance
    
    - concept: covering-relation
      arity: 2
      en: $1 covering relation $2
      property: infix
      area: "order theory"
      mathml:
       - "<math><mrow intent='covering-relation($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: 
       - "https://en.wikipedia.org/wiki/Partially_ordered_set"
       - "https://en.wikipedia.org/wiki/Covering_relation"
    
    - concept: cross-product
      arity: 2
      en: $1 cross product $2
      property: infix
      area: "linear algebra"
      mathml:
       - "<math><mrow intent='cross-product($a1,$a2)'><mi arg='a1'>X</mi><mo>×</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/CrossProduct.html"
       - "https://en.wikipedia.org/wiki/Cross_product"
       - "https://ncatlab.org/nlab/show/cross+product"
       - "https://www.encyclopediaofmath.org/index.php/Cross_product"
      alias:
       - vector-product
    
    - concept: cross-ratio
      arity: 4
      en: "cross ratio of $1, $2, $3, $4"
      property: fenced
      area: "geometry"
      mathml:
       - "<math><mrow intent='cross-ratio($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"
       - "https://en.wikipedia.org/wiki/Cross-ratio"
      alias:
       - double-ratio
    
    - concept: crossing-number
      arity: 1
      en: crossing number of $1
      property: function
      area: "graph theory"
      mathml:
       - "<math><mrow intent='crossing-number($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)"
       - "https://en.wikipedia.org/wiki/Crossing_number_(knot_theory)"
       - "https://ncatlab.org/nlab/show/crossing+number"
    
    - concept: cullen-number
      arity: 1
      en: $1<i>th</i> cullen number
      property: "indexed symbol"
      area: "number theory"
      mathml:
       - "<math><msub intent='cullen-number($a1)'><mi>C</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/CullenNumber.html"
       - "https://en.wikipedia.org/wiki/Cullen_number"
    
    - concept: cumulant
      arity: 1
      en: cumulant of $1
      property: "indexed symbol"
      area: "probability theory"
      mathml:
       - "<math><msub intent='cumulant($a1)'><mi>κ</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/Cumulant.html"
       - "https://en.wikipedia.org/wiki/Cumulant"
       - "https://en.wikipedia.org/wiki/Cumulant-generating_function"
       - "https://ncatlab.org/nlab/show/cumulant"
       - "https://www.encyclopediaofmath.org/index.php/Cumulant"
    
    - concept: cumulative-distribution-function
      arity: 1
      en: cumulative distribution function of $1
      property: "indexed symbol"
      area: "probability theory"
      mathml:
       - "<math><msub intent='cumulative-distribution-function($a1)'><mi>F</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/CumulativeDistributionFunction.html"
       - "https://en.wikipedia.org/wiki/Cumulative_distribution_function"
      alias:
       - cdf
       - distribution-function
    
    - concept: cup-product
      arity: 2
      en: $1 cup product $2
      property: infix
      area: "algebraic topology"
      mathml:
       - "<math><mrow intent='cup-product($a1,$a2)'><mi arg='a1'>X</mi><mo>⌣</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Cup_product"
       - "https://ncatlab.org/nlab/show/cup+product"
    
    - concept: curl
      arity: 1
      en: curl of $1
      property: function
      area: "vector calculus"
      mathml:
       - "<math><mrow intent='curl($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"
      urls: 
       - "https://mathworld.wolfram.com/Curl.html"
       - "https://en.wikipedia.org/wiki/Curl_(mathematics)"
       - "https://ncatlab.org/nlab/show/curl"
       - "https://www.encyclopediaofmath.org/index.php/Curl"
    
    - concept: current
      arity: 1
      en: current of $1
      property: fenced
      area: "differential topology"
      mathml:
       - "<math><mrow intent='current($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: 
       - "https://mathworld.wolfram.com/Current.html"
       - "https://en.wikipedia.org/wiki/Current_(mathematics)"
       - "https://www.encyclopediaofmath.org/index.php/Current"
    
    - concept: curvature
      arity: 1
      en: curvature of $1
      property: function
      area: "differential geometry"
      mathml:
       - "<math><mrow intent='curvature($a1)'><mi>κ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/Curvature.html"
       - "https://en.wikipedia.org/wiki/Geodesic_curvature"
       - "https://en.wikipedia.org/wiki/Curvature"
       - "https://ncatlab.org/nlab/show/curvature"
       - "https://www.encyclopediaofmath.org/index.php/Curvature"
    
    - concept: cycle
      arity: 1
      en: cycle $1
      property: fenced
      area: "combinatorics"
      mathml:
       - "<math><mrow intent='cycle($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"
       - "https://en.wikipedia.org/wiki/Transposition_(mathematics)"
       - "https://en.wikipedia.org/wiki/Cycles_and_fixed_points"
    
    - concept: cycle-gene
      arity: 0
      en: cycle gene
      property: symbol
      area: "genetics"
      mathml:
       - "<math><mi intent='cycle-gene'>cyc</mi></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Cycle_(gene)"
    
    - concept: cyclotomic-field
      arity: 1
      en: cyclotomic field of $1
      property: embellished symbol
      area: "number theory"
      mathml:
       - "<math><mrow intent='cyclotomic-field($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"
       - "https://en.wikipedia.org/wiki/Cyclotomic_field"
       - "https://ncatlab.org/nlab/show/cyclotomic+field"
       - "https://www.encyclopediaofmath.org/index.php/Cyclotomic_field"
    
    - concept: cyclotomic-polynomial
      arity: 1
      en: $1<i>th</i> cyclotomic polynomial
      property: "indexed symbol"
      area: "number theory"
      mathml:
       - "<math><msub intent='cyclotomic-polynomial($a1)'><mi>Φ</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/CyclotomicPolynomial.html"
       - "https://en.wikipedia.org/wiki/Cyclotomic_polynomial"
       - "https://www.encyclopediaofmath.org/index.php/Cyclotomic_polynomials"
    
    - concept: dalembert-operator
      arity: 1
      en: dalembert operator of $1
      property: prefix
      area: "partial differential equations"
      mathml:
       - "<math><mrow intent='dalembert-operator($a1)'><mo>☐</mo><mi arg='a1'>x</mi></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/D%27Alembert_operator"
       - "https://www.encyclopediaofmath.org/index.php/D'Alembert_operator"
      alias:
       - dalembertian
       - wave-operator
       - box-operator
    
    - concept: davenport-constant
      arity: 1
      en: davenport constant of $1
      property: function
      area: "group theory"
      mathml:
       - "<math><mrow intent='davenport-constant($a1)'><mi>D</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/DavenportConstant.html"
       - "https://en.wikipedia.org/wiki/Davenport_constant"
       - "https://www.encyclopediaofmath.org/index.php/Davenport_constant"
    
    - concept: dawson-function
      arity: 1
      en: dawson function of $1
      property: function
      area: "special-functions"
      mathml:
       - "<math><mrow intent='dawson-function($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 -"
      notationa: "mi sub D +"
      urls: 
       - "https://mathworld.wolfram.com/DawsonsIntegral.html"
       - "https://en.wikipedia.org/wiki/Dawson_function"
       - "https://dlmf.nist.gov/7.2#ii"
       - "https://dlmf.nist.gov/7.2#E5"
      alias:
       - dawson-integral
    
    - concept: decrease
      arity: 1
      en: decrease of $1
      property: postfix
      area: "physics"
      mathml:
       - "<math><mrow intent='decrease($a1)'><mi arg='a1'>x</mi><mo>↓</mo></mrow></math>"
      urls: 
       - "https://youtu.be/HZ7a9YkF204?t=4705"
    
    - concept: decrease-tends-to
      arity: 2
      en: $1 decrease tends to $2
      property: infix
      area: "calculus"
      mathml:
       - "<math><mrow intent='decrease-tends-to($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"
       - "http://pi.math.cornell.edu/~web6720/MATH%206710%20notes.pdf"
    
    - concept: dedekind-eta-function
      arity: 1
      en: dedekind eta function of $1
      property: function
      area: "special functions"
      mathml:
       - "<math><mrow intent='dedekind-eta-function($a1)'><mi>η</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/DedekindEtaFunction.html"
       - "https://en.wikipedia.org/wiki/Dedekind_eta_function"
       - "https://ncatlab.org/nlab/show/Dedekind+eta+function"
    
    - concept: dedekind-zeta-function
      arity: 1
      en: dedekind zeta function of $1
      property: function
      area: "special functions"
      mathml:
       - "<math><mrow intent='dedekind-zeta-function($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"
    
    - concept: deductive-closure
      arity: 1
      en: deductive closure of $1
      property: function
      area: "logic"
      mathml:
       - "<math><mrow intent='deductive-closure($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: 
       - "https://en.wikipedia.org/wiki/Deductive_closure"
    
    - concept: defined-as
      arity: 2
      en: $1 defined as $2
      property: infix
      area: "general"
      mathml:
       - "<math><mrow intent='defined-as($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,$a2)'><mi arg='a1'>X</mi><mo>:=</mo><mi arg='a2'>Y</mi></mrow></math>"
       - "<math><mrow intent='defined-as($a1,$a2)'><mi arg='a1'>X</mi><mover><mo>=</mo><mi>def</mi></mover><mi arg='a2'>Y</mi></mrow></math>"
       - "<math><mrow intent='defined-as($a1,$a2)'><mi arg='a1'>X</mi><mo>:</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://math.stackexchange.com/questions/522864/what-is-the-symbol-triangleq"
       - "https://drive.google.com/file/d/1z_dcQ6lsOA_0CsH55fwcg4hQF_w22olM/view"
      alias:
       - defined-to-be-equal-to
       - equal-to-by-definition
    
    - concept: degree
      arity: 1
      en: degree of $1
      property: prefix, postfix
      area: "physics, geometry"
      mathml:
       - "<math><mrow intent='degree($a1)'><mi arg='a1'>x</mi><mo>°</mo></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/Degree.html"
       - "https://en.wikipedia.org/wiki/Degree_(angle)"
       - "https://en.wikipedia.org/wiki/Degree_(temperature)"
       - "https://ncatlab.org/nlab/show/degree"
       - "https://www.encyclopediaofmath.org/index.php/Degree"
    
    - concept: degree-of-graph
      arity: 1
      en: degree of graph of $1
      property: function
      area: "graph theory"
      mathml:
       - "<math><mrow intent='degree-of-graph($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)"
      alias:
       - valency
       - degree
    
    - concept: degree-of-freedom
      arity: 0
      en: degree of freedom
      property: symbol
      area: "statistics"
      mathml:
       - "<math><mi intent='degree-of-freedom'>ν</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/DegreeofFreedom.html"
       - "https://en.wikipedia.org/wiki/Degrees_of_freedom_(statistics)#Notation"
    
    - concept: degree-of-mapping
      arity: 1
      en: degree of mapping of $1
      property: function
      area: "topology"
      mathml:
       - "<math><mrow intent='degree-of-mapping($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"
      alias:
       - degree
    
    - concept: degree-of-polynomial
      arity: 1
      en: degree of polynomial of $1
      property: function
      area: "polynomials"
      mathml:
       - "<math><mrow intent='degree-of-polynomial($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"
      alias:
       - degree
    
    - concept: dependence-relation
      arity: 2
      en: $1 dependence relation $2
      property: infix
      area: "linear algebra"
      mathml:
       - "<math><mrow intent='dependence-relation($a1,$a2)'><mi arg='a1'>X</mi><mo>◃</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Dependence_relation"
    
    - concept: dereference
      arity: 1
      en: dereference of $1
      property: prefix
      area: "programming languages"
      mathml:
       - "<math><mrow intent='dereference($a1)'><mo>!</mo><mi arg='a1'>x</mi></mrow></math>"
      urls: 
       - "https://arxiv.org/pdf/1208.5915.pdf"
    
    - concept: derivation-tree
      arity: 2
      en: derivation  $1, $2
      property: mfrac
      area: "logic"
      mathml:
       - "<math><mfrac intent='derivation-tree($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"
    
    - concept: derived-category
      arity: 1
      en: derived category of $1
      property: function
      area: "category theory"
      mathml:
       - "<math><mrow intent='derived-category($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"
       - "https://ncatlab.org/nlab/show/derived+category"
       - "https://www.encyclopediaofmath.org/index.php/Derived_category"
    
    - concept: diagonal-functor
      arity: 0
      en: diagonal functor
      property: symbol
      area: "category theory"
      mathml:
       - "<math><mi intent='diagonal-functor'>Δ</mi></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Diagonal_functor"
       - "https://ncatlab.org/nlab/show/diagonal+functor"
    
    - concept: diagonal-intersection
      arity: 1
      en: diagonal intersection of $1
      property: function
      area: "set theory"
      mathml:
       - "<math><mrow intent='diagonal-intersection($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"
    
    - concept: diagonal-matrix
      arity: 1
      en: diagonal matrix of $1
      property: function
      area: "linear algebra"
      mathml:
       - "<math><mrow intent='diagonal-matrix($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"
    
    - concept: diameter
      arity: 1
      en: diameter of $1
      property: symbol, prefix unit
      area: "geometry"
      mathml:
       - "<math><mrow intent='diameter($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"
      notationa: "mi dia"
      urls: 
       - "https://en.wikipedia.org/wiki/Diameter#Symbol"
    
    - concept: dickman-function
      arity: 1
      en: dickman function of $1
      property: function
      area: "special functions"
      mathml:
       - "<math><mrow intent='dickman-function($a1)'><mi>ρ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/DickmanFunction.html"
       - "https://en.wikipedia.org/wiki/Dickman_function"
       - "https://www.encyclopediaofmath.org/index.php/Dickman_function"
      alias:
       - dickman-de-bruijn-function
    
    - concept: different-ideal
      arity: 1
      en: different ideal of $1
      property: function
      area: "algebraic number theory"
      mathml:
       - "<math><msub intent='different-ideal($a1)'><mi>δ</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Different_ideal"
      alias:
       - different
    
    - concept: differential-entropy
      arity: 1
      en: differential entropy of $1
      property: function
      area: "information theory"
      mathml:
       - "<math><mrow intent='differential-entropy($a1)'><mi>h</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/DifferentialEntropy.html"
       - "https://en.wikipedia.org/wiki/Differential_entropy"
       - "https://www.encyclopediaofmath.org/index.php/Differential_entropy"
      alias:
       - continuous-entropy
    
    - concept: differential-operator
      arity: 1
      en: differential operator with respect to $1
      property: prefix
      area: "calculus"
      mathml:
       - "<math><msub intent='differential-operator($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>"
      notationa: "mfrac d mrow d $1"
      urls: 
       - "https://mathworld.wolfram.com/DifferentialOperator.html"
       - "https://en.wikipedia.org/wiki/Differential_operator"
       - "https://ncatlab.org/nlab/show/differential+operator"
       - "https://www.encyclopediaofmath.org/index.php/Differential_operator"
      alias:
       - newton-leibniz-operator
       - differential
       - diff
    
    - concept: digamma-function
      arity: 0
      en: digamma function
      property: symbol
      area: "special functions"
      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>"
      urls: 
       - "https://mathworld.wolfram.com/DigammaFunction.html"
       - "https://en.wikipedia.org/wiki/Digamma_function"
    
    - concept: dihedral-group
      arity: 1
      en: $1<i>th</i> dihedral group
      property: symbol
      area: "group theory"
      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>"
      urls: 
       - "https://mathworld.wolfram.com/DihedralGroup.html"
       - "https://en.wikipedia.org/wiki/Dihedral_group"
    
    - concept: dilation
      arity: 2
      en: $1 dilation $2
      property: infix
      area: "mathematical morphology"
      mathml:
       - "<math><mrow intent='dilation($a1,$a2)'><mi arg='a1'>X</mi><mo>⊕</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Dilation_(morphology)"
    
    - concept: dilogarithm
      arity: 1
      en: dilogarithm of $1
      property: function
      area: "special functions"
      mathml:
       - "<math><mrow intent='dilogarithm($a1)'><msub><mi>L</mi><mn>2</mn></msub><mi arg='a1'>z</mi></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/Dilogarithm.html"
       - "https://en.wikipedia.org/wiki/Spence%27s_function"
       - "https://dlmf.nist.gov/25.12#E1"
       - "https://ncatlab.org/nlab/show/dilogarithm"
       - "https://ncatlab.org/nlab/show/dilogarithm"
      alias:
       - spence-function
    
    - concept: dimension
      arity: 1
      en: dimension of $1
      property: "function, fenced"
      area: "linear algebra, graph theory"
      mathml:
       - "<math><mrow intent='dimension($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: 
       - "https://mathworld.wolfram.com/Dimension.html"
       - "https://en.wikipedia.org/wiki/Dimension_(mathematics_and_physics)"
       - "https://en.wikipedia.org/wiki/Dimension_(graph_theory)"
       - "https://en.wikipedia.org/wiki/Order_dimension"
       - "https://en.wikipedia.org/wiki/Dimensions_(animation)"
       - "https://en.wikipedia.org/wiki/Dimension_(vector_space)"
       - "https://en.wikipedia.org/wiki/Dimension_of_an_algebraic_variety"
       - "https://en.wikipedia.org/wiki/Slowly_changing_dimension"
       - "https://en.wikipedia.org/wiki/Scaling_dimension"
       - "https://ncatlab.org/nlab/show/dimension"
       - "https://www.encyclopediaofmath.org/index.php/Dimension"
       - "https://physics.stackexchange.com/questions/77690/square-bracket-notation-for-dimensions-and-units-usage-and-conventions"
       - "https://physics.stackexchange.com/questions/77690/square-bracket-notation-for-dimensions-and-units-usage-and-conventions"
       - "https://www.nist.gov/pml/special-publication-811/nist-guide-si-chapter-7-rules-and-style-conventions-expressing-values"
    
    - concept: dirac-delta-function
      arity: 1
      en: dirac delta function of $1
      property: function
      area: "analysis"
      mathml:
       - "<math><mrow intent='dirac-delta-function($a1)'><mi>δ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/DiracDeltaFunction.html"
       - "https://en.wikipedia.org/wiki/Dirac_delta_function"
      alias:
       - delta-function
    
    - concept: dirac-matrix
      arity: 0
      en: dirac matrix
      property: constant
      area: "mathematical physics"
      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>"
       - "<math><msup intent='dirac-matrix'><mi>γ</mi><mn>3</mn></msup></math>"
      urls: 
       - "https://mathworld.wolfram.com/DiracMatrices.html"
       - "https://en.wikipedia.org/wiki/Gamma_matrices"
       - "https://www.encyclopediaofmath.org/index.php/Dirac_matrices"
      alias:
       - gamma-matrix
    
    - concept: dirac-measure
      arity: 1
      en: dirac measure of $1
      property: function
      area: "measure theory"
      mathml:
       - "<math><mrow intent='dirac-measure($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"
    
    - concept: dirac-operator
      arity: 1
      en: dirac operator of $1
      property: function
      area: "differential operators"
      mathml:
       - "<math><mrow intent='dirac-operator($a1)'><mi>D</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/DiracOperator.html"
       - "https://en.wikipedia.org/wiki/Dirac_operator"
       - "https://ncatlab.org/nlab/show/Dirac+operator"
    
    - concept: direct-limit
      arity: 1
      en: direct limit of $1
      property: prefix
      area: "category theory"
      mathml:
       - "<math><mrow intent='direct-limit($a1)'><munder><mi>lim</mi><mo>→</mo></munder><mi arg='a1'>A</mi></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/DirectLimit.html"
       - "https://en.wikipedia.org/wiki/Direct_limit"
       - "https://ncatlab.org/nlab/show/direct+limit"
    
    - concept: direct-product
      arity: 2
      en: $1 direct product $2
      property: infix
      area: "abstract algebra"
      mathml:
       - "<math><mrow intent='direct-product($a1,$a2)'><mi arg='a1'>X</mi><mo>×</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/DirectProduct.html"
       - "https://en.wikipedia.org/wiki/Direct_product"
       - "https://en.wikipedia.org/wiki/Direct_product_of_groups"
       - "https://ncatlab.org/nlab/show/direct+product"
       - "https://www.encyclopediaofmath.org/index.php/Direct_product"
    
    - concept: direct-sum
      arity: 2
      en: $1 direct sum $2
      property: infix
      area: "abstract algebra"
      mathml:
       - "<math><mrow intent='direct-sum($a1,$a2)'><mi arg='a1'>X</mi><mo>⊕</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/DirectSum.html"
       - "https://en.wikipedia.org/wiki/Direct_sum"
       - "https://en.wikipedia.org/wiki/Direct_sum_of_modules"
       - "https://en.wikipedia.org/wiki/Skew_and_direct_sums_of_permutations"
       - "https://en.wikipedia.org/wiki/Disjoint_union_(topology)"
       - "https://en.wikipedia.org/wiki/Direct_sum_of_groups"
       - "https://ncatlab.org/nlab/show/direct+sum"
       - "https://www.encyclopediaofmath.org/index.php/Direct_sum"
    
    - concept: directional-derivative
      arity: 1
      en: directional derivative of $1
      property: "function, mixfix"
      area: "differential calculus"
      mathml:
       - "<math><msup intent='directional-derivative($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>"
      urls: 
       - "https://mathworld.wolfram.com/DirectionalDerivative.html"
       - "https://en.wikipedia.org/wiki/Directional_derivative"
       - "https://ncatlab.org/nlab/show/directional+derivative"
    
    - concept: dirichlet-character
      arity: 1
      en: dirichlet character of $1
      property: function
      area: "special-functions"
      mathml:
       - "<math><mrow intent='dirichlet-character($a1)'><mi>χ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/DirichletCharacter.html"
       - "https://en.wikipedia.org/wiki/Dirichlet_character"
       - "https://dlmf.nist.gov/27.8"
       - "https://www.encyclopediaofmath.org/index.php/Dirichlet_character"
    
    - concept: dirichlet-convolution
      arity: 2
      en: $1 dirichlet convolution $2
      property: infix
      area: "number theory"
      mathml:
       - "<math><mrow intent='dirichlet-convolution($a1,$a2)'><mi arg='a1'>X</mi><mo>∗</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Dirichlet_convolution"
       - "https://www.encyclopediaofmath.org/index.php/Dirichlet_convolution"
    
    - concept: dirichlet-distribution
      arity: 0
      en: dirichlet distribution
      property: symbol
      area: "statistics"
      mathml:
       - "<math><mi intent='dirichlet-distribution'>Dir</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/DirichletDistribution.html"
       - "https://en.wikipedia.org/wiki/Dirichlet_distribution"
       - "https://www.encyclopediaofmath.org/index.php/Dirichlet_distribution"
    
    - concept: dirichlet-eta-function
      arity: 1
      en: dirichlet eta function of $1
      property: function
      area: "analytic number theory"
      mathml:
       - "<math><mrow intent='dirichlet-eta-function($a1)'><mi>η</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/DirichletEtaFunction.html"
       - "https://en.wikipedia.org/wiki/%CE%97(x)"
       - "https://en.wikipedia.org/wiki/Dirichlet_eta_function"
    
    - concept: dirichlet-kernel
      arity: 1
      en: dirichlet kernel of $1
      property: function
      area: "mathematical analysis"
      mathml:
       - "<math><msup intent='dirichlet-kernel($a1)'><mi>D</mi><mi>n</mi></msup><mi arg='a1'>f</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/DirichletKernel.html"
       - "https://en.wikipedia.org/wiki/Dirichlet_kernel"
       - "https://www.encyclopediaofmath.org/index.php/Dirichlet_kernel"
    
    - concept: dirichlet-l-function
      arity: 1
      en: dirichlet l function of $1
      property: function
      area: "special-functions"
      mathml:
       - "<math><mrow intent='dirichlet-l-function($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"
       - "https://en.wikipedia.org/wiki/Dirichlet_L-function"
      alias:
       - dirichlet-l-series
    
    - concept: discrete-valuation
      arity: 1
      en: discrete valuation of $1
      property: function
      area: "commutative algebra"
      mathml:
       - "<math><mrow intent='discrete-valuation($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"
       - "https://ncatlab.org/nlab/show/discrete+valuation"
    
    - concept: discriminant
      arity: 1
      en: discriminant of $1
      property: function
      area: "polynomials"
      mathml:
       - "<math><mrow intent='discriminant($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>"
      urls: 
       - "https://mathworld.wolfram.com/Discriminant.html"
       - "https://en.wikipedia.org/wiki/Discriminant"
       - "https://ncatlab.org/nlab/show/discriminant"
       - "https://www.encyclopediaofmath.org/index.php/Discriminant"
    
    - concept: disjoint-union
      arity: 1
      en: disjoint union of $1
      property: indexed
      area: "set theory"
      mathml:
       - "<math><mrow intent='disjoint-union($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"
       - "https://en.wikipedia.org/wiki/Disjoint_union"
       - "https://en.wikipedia.org/wiki/Tagged_union"
       - "https://en.wikipedia.org/wiki/Disjoint_union_(topology)"
       - "https://ncatlab.org/nlab/show/disjoint+union"

    - concept: disjoint-union
      arity: 2
      en: disjoint union of $1 and $2
      property: infix
      area: "set theory"
      mathml:
       - "<math><mrow intent='disjoint-union($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"
       - "https://en.wikipedia.org/wiki/Disjoint_union"
       - "https://en.wikipedia.org/wiki/Tagged_union"
       - "https://en.wikipedia.org/wiki/Disjoint_union_(topology)"
       - "https://ncatlab.org/nlab/show/disjoint+union"
    
    - concept: distance
      arity: 2
      en: distance
      property: fenced
      area: "geometry"
      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"
    
    - concept: diverge
      arity: 1
      en: $1 diverges
      property: postfix
      area: "computer science"
      mathml:
       - "<math><mrow intent='diverge($a1)'><mi arg='a1'>x</mi><mo>↑</mo></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Divergence_(computer_science)"
      alias:
       - divergence
    
    - concept: divergence
      arity: 1
      en: divergence of $1
      property: "function, mixfix"
      area: "vector calculus"
      mathml:
       - "<math><mrow intent='divergence($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: 
       - "https://mathworld.wolfram.com/Divergence.html"
       - "https://en.wikipedia.org/wiki/Divergence_(computer_science)"
       - "https://en.wikipedia.org/wiki/Divergence"
       - "https://en.wikipedia.org/wiki/Divergence_(statistics)"
       - "https://ncatlab.org/nlab/show/divergence"
       - "https://www.encyclopediaofmath.org/index.php/Divergence"
    
    - concept: divided-difference
      arity: ">=0"
      en: divided difference of $1 ..
      property: "fenced, mixfix"
      area: "special functions"
      mathml:
       - "<math><mrow intent='divided-difference($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>"
       - "<math><mrow intent='divided-difference($a1)'><mi>D</mi><mo>[</mo><mi arg='a1'>x</mi><mo>,</mo><mi arg='a2'>y</mi><mo>,</mo><mi arg='a3'>z</mi><mo>]</mo><mi>f</mi></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/DividedDifference.html"
       - "https://en.wikipedia.org/wiki/Divided_differences"
       - "https://dlmf.nist.gov/3.3#SS3.p1"
    
    - concept: divisible-by
      arity: 2
      en: $1 divisible by $2
      property: infix
      area: "number theory"
      mathml:
       - "<math><mrow intent='divisible-by($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>"
      urls: 
       - "https://youtu.be/9dyK_op-Ocw?t=251"
       - "https://en.wikipedia.org/wiki/Divisor"
       - "https://ru.wikipedia.org/wiki/%D0%94%D0%B5%D0%BB%D0%B8%D0%BC%D0%BE%D1%81%D1%82%D1%8C"
       - "https://youtu.be/a3wyG2mkmxc?t=32"
      alias:
       - divides
    
    
    - concept: divisor-function
      arity: 1
      en: divisor function of $1
      property: indexed
      area: "number theory"
      mathml:
       - "<math><mrow intent='divisor-function($a1)'><mi>σ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/DivisorFunction.html"
       - "https://en.wikipedia.org/wiki/D(n)"
       - "https://en.wikipedia.org/wiki/%CE%A3(n)"
       - "https://en.wikipedia.org/wiki/Divisor_function"
       - "https://dlmf.nist.gov/27.2#E9"
       - "https://dlmf.nist.gov/27.2#SS1.p4"
    
    - concept: domain
      arity: 1
      en: domain of $1
      property: function
      area: "set theory"
      mathml:
       - "<math><mrow intent='domain($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"
    
    - concept: domain-of-discourse
      arity: 0
      en: domain of discourse
      property: symbol
      area: "formal semantics"
      mathml:
       - "<math><mi intent='domain-of-discourse'>𝔻</mi></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Domain_of_discourse"
      alias:
       - universe-of-discourse
    
    - concept: domination-number
      arity: 1
      en: domination number of $1
      property: function
      area: "graph theory"
      mathml:
       - "<math><mrow intent='domination-number($a1)'><mi>γ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/DominationNumber.html"
       - "https://en.wikipedia.org/wiki/Dominating_set"
       - "https://en.wikipedia.org/wiki/Domination_number"
       - "https://en.wikipedia.org/wiki/Independent_domination_number"
       - "https://en.wikipedia.org/wiki/Domination_analysis"
       - "https://en.wikipedia.org/wiki/Domination_perfect_graph"
    
    - concept: dot-product
      arity: 2
      en: $1 dot product $2
      property: infix
      area: "linear algebra"
      mathml:
       - "<math><mrow intent='dot-product($a1,$a2)'><mi arg='a1'>X</mi><mo>⋅</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/DotProduct.html"
       - "https://en.wikipedia.org/wiki/Dot_product"
      alias:
       - scalar-product
    
    - concept: double-bond
      arity: 2
      en: $1 double bond $2
      property: infix
      area: "chemistry"
      mathml:
       - "<math><mrow intent='double-bond($a1,$a2)'><mi arg='a1'>X</mi><mo>=</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Double_bond"
    
    - concept: double-category
      arity: 2
      en: $1 double category $2
      property: infix
      area: "category theory"
      mathml:
       - "<math><mrow intent='double-category($a1,$a2)'><mi arg='a1'>X</mi><mo>⇉</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://ncatlab.org/nlab/show/double+category"
    
    - concept: double-factorial
      arity: 1
      en: double factorial of $1
      property: postfix
      area: "combinatorics"
      mathml:
       - "<math><mrow intent='double-factorial($a1)'><mn arg='a1'>10</mn><mo>&#x203c;</mo></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/DoubleFactorial.html"
       - "https://en.wikipedia.org/wiki/Double_factorial"
       - "https://arxiv.org/pdf/0806.2334.pdf"
      alias:
       - semifactorial
    
    - concept: double-mersenne-number
      arity: 0
      en: double mersenne number
      property: symbol
      area: "number theory"
      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"
       - "https://en.wikipedia.org/wiki/Double_Mersenne_number"
       - "https://en.wikipedia.org/wiki/Double_Mersenne_prime"
       - "https://en.wikipedia.org/wiki/Catalan%27s_Mersenne_conjecture"
    
    - concept: drinfeld-center
      arity: 1
      en: drinfeld center of $1
      property: prefix
      area: "category theory"
      mathml:
       - "<math><mrow intent='drinfeld-center($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)"
      alias:
       - center
    
    - concept: dual-basis
      arity: 1
      en: dual basis of $1
      property: msup
      area: "linear algebra"
      mathml:
       - "<math><msup intent='dual-basis($a1)'><mi arg='a1'>X</mi><mo>*</mo></msup></math>"
      urls: 
       - "https://mathworld.wolfram.com/DualBasis.html"
       - "https://en.wikipedia.org/wiki/Dual_basis"
       - "https://ncatlab.org/nlab/show/dual+basis"
       - "https://www.encyclopediaofmath.org/index.php/Dual_basis"
      alias:
       - dual-set
       - reciprocal-basis
    
    - concept: dual-bundle
      arity: 1
      en: dual bundle of $1
      property: msup
      area: "vector bundles"
      mathml:
       - "<math><msup intent='dual-bundle($a1)'><mi arg='a1'>X</mi><mo>*</mo></msup></math>"
      urls: 
       - "https://mathworld.wolfram.com/DualBundle.html"
       - "https://en.wikipedia.org/wiki/Dual_bundle"
       - "https://www.encyclopediaofmath.org/index.php/Dual_bundle"
      alias:
       - dual
    
    - concept: dual-space
      arity: 1
      en: dual space of $1
      property: msup
      area: "linear algebra"
      mathml:
       - "<math><msup intent='dual-space($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: 
       - "https://mathworld.wolfram.com/DualSpace.html"
       - "https://en.wikipedia.org/wiki/Dual_space"
       - "https://ncatlab.org/nlab/show/dual+space"
      alias:
       - dual
    
    - concept: duodecimal
      arity: 1
      en: duodecimal of $1
      property: unit
      area: "arithmetic"
      mathml:
       - "<math><msub intent='duodecimal($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>"
      urls: 
       - "https://mathworld.wolfram.com/Duodecimal.html"
       - "https://en.wikipedia.org/wiki/Duodecimal#Base_notation"
      alias:
       - base-twelve
       - dozenal
    
    - concept: e-function
      arity: 1
      en: e function of $1
      property: function
      area: "special functions"
      mathml:
       - "<math><mrow intent='e-function($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"
       - "https://en.wikipedia.org/wiki/E-function"
       - "https://en.wikipedia.org/wiki/MacRobert_E_function"
       - "https://www.encyclopediaofmath.org/index.php/E-function"
    
    - concept: eccentricity
      arity: 0
      en: eccentricity
      property: symbol
      area: "analytic geometry, graph theory"
      mathml:
       - "<math><mi intent='eccentricity'>e</mi></math>"
       - "<math><mi intent='eccentricity'>ϵ</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/Eccentricity.html"
       - "https://en.wikipedia.org/wiki/Eccentricity_(mathematics)"
       - "https://www.encyclopediaofmath.org/index.php/Eccentricity"
    
    - concept: edge-cover-number
      arity: 1
      en: edge cover number of $1
      property: function
      area: "graph theory"
      mathml:
       - "<math><mrow intent='edge-cover-number($a1)'><mi>ρ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/EdgeCoverNumber.html"
       - "https://en.wikipedia.org/wiki/Edge_covering_number"
    
    - concept: effective-domain
      arity: 1
      en: effective domain of $1
      property: function
      area: "convex analysis"
      mathml:
       - "<math><mrow intent='effective-domain($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"
    
    - concept: efficiency
      arity: 1
      en: efficiency of $1
      property: function
      area: "statistics"
      mathml:
       - "<math><mrow intent='efficiency($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"
       - "https://en.wikipedia.org/wiki/Efficiency_(statistics)"
       - "https://en.wikipedia.org/wiki/Efficiency"
    
    - concept: einstein-tensor
      arity: 0
      en: einstein tensor
      property: symbol
      area: "general relativity"
      mathml:
       - "<math><mi intent='einstein-tensor'>G</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/EinsteinTensor.html"
       - "https://en.wikipedia.org/wiki/Einstein_tensor"
       - "https://ncatlab.org/nlab/show/Einstein+tensor"
    
    - concept: elliptic-function
      arity: 1
      en: elliptic function of $1
      property: function
      area: "special functions"
      mathml:
       - "<math><mrow intent='elliptic-function($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>"
      urls: 
       - "https://mathworld.wolfram.com/EllipticFunction.html"
       - "https://en.wikipedia.org/wiki/Elliptic_function"
       - "https://ncatlab.org/nlab/show/elliptic+function"
       - "https://www.encyclopediaofmath.org/index.php/Elliptic_function"
       - "https://mathworld.wolfram.com/JacobiEllipticFunctions.html"
    
    - concept: end
      arity: 0
      en: end
      property: symbol
      area: "category theory"
      mathml:
       - "<math><mi intent='end'>e</mi></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/End_(category_theory)"
       - "https://ncatlab.org/nlab/show/end"
    
    - concept: endomorphism-monoid
      arity: 1
      en: endomorphism monoid of $1
      property: function
      area: "category theory"
      mathml:
       - "<math><mrow intent='endomorphism-monoid($a1)'><mi>End</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/Endomorphism.html"
       - "https://en.wikipedia.org/wiki/Endomorphism"
       - "https://ncatlab.org/nlab/show/endomorphism"
       - "https://www.encyclopediaofmath.org/index.php/Endomorphism"
    
    - concept: energy
      arity: 0
      en: energy
      property: symbol
      area: "physics"
      mathml:
       - "<math><mi intent='energy'>E</mi></math>"
      urls: 
       - "https://ncatlab.org/nlab/show/energy"
    
    - concept: energy-of-signal
      arity: 0
      en: energy of signal
      property: symbol
      area: "signal processing"
      mathml:
       - "<math><msub intent='energy-of-signal'><mi>E</mi><mi>s</mi></msub></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Energy_(signal_processing)"
       - "https://en.wikipedia.org/wiki/Energy_(signal_processing)"
    
    - concept: entropy
      arity: 1
      en: entropy of $1
      property: unit
      area: "physics"
      mathml:
       - "<math><mrow intent='entropy($a1)'><mi>S</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Entropy"
       - "https://en.wikipedia.org/wiki/Entropy_(arrow_of_time)"
       - "https://en.wikipedia.org/wiki/Entropy_(classical_thermodynamics)"
       - "https://en.wikipedia.org/wiki/Entropy_(statistical_thermodynamics)"
       - "https://en.wikipedia.org/wiki/History_of_entropy"
    
    - concept: epigraph
      arity: 1
      en: epigraph of $1
      property: function
      area: "analysis"
      mathml:
       - "<math><mrow intent='epigraph($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)"
    
    - concept: epsilon-number
      arity: 0
      en: epsilon number
      property: symbol
      area: "ordinal numbers"
      mathml:
       - "<math><mi intent='epsilon-number'>ε</mi></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Epsilon_numbers_(mathematics)"
    
    - concept: equalizer
      arity: 1
      en: equalizer of $1
      property: function
      area: "set theory"
      mathml:
       - "<math><mrow intent='equalizer($a1)'><mi>Eq</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/Equalizer.html"
       - "https://en.wikipedia.org/wiki/Equaliser_(mathematics)"
       - "https://ncatlab.org/nlab/show/equalizer"
      alias:
       - difference-kernel
       - equaliser
    
    - concept: equivalence-class
      arity: 1
      en: equivalence class of $1
      property: fenced
      area: "set theory"
      mathml:
       - "<math><mrow intent='equivalence-class($a1)'><mo>[</mo><mi arg='a1'>X</mi><mo>]</mo></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/EquivalenceClass.html"
       - "https://en.wikipedia.org/wiki/Equivalence_class"
       - "https://en.wikipedia.org/wiki/Equivalence_class_(music)"
       - "https://ncatlab.org/nlab/show/equivalence+class"
       - "https://www.encyclopediaofmath.org/index.php/Equivalence_class"
    
    - concept: equivalence-relation
      arity: 2
      en: $1 equivalence relation $2
      property: infix
      area: "set theory"
      mathml:
       - "<math><mrow intent='equivalence-relation($a1,$a2)'><mi arg='a1'>X</mi><mo>~</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/EquivalenceRelation.html"
       - "https://en.wikipedia.org/wiki/Equivalence_relation"
       - "https://ncatlab.org/nlab/show/equivalence+relation"
       - "https://www.encyclopediaofmath.org/index.php/Equivalence_relation"
      alias:
       - equivalence
    
    - concept: equivariant-cohomology
      arity: 2
      en: equivariant cohomology $1 $2
      property: function
      area: "algebraic topology"
      mathml:
       - "<math><mrow intent='equivariant-cohomology($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"
       - "https://ncatlab.org/nlab/show/equivariant+cohomology"
       - "https://www.encyclopediaofmath.org/index.php/Equivariant_cohomology"
    
    - concept: erdos-borwein-constant
      arity: 0
      en: erdos borwein constant
      property: symbol
      area: "number theory"
      mathml:
       - "<math><mi intent='erdos-borwein-constant'>E</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/Erdos-BorweinConstant.html"
       - "https://en.wikipedia.org/wiki/Erd%C5%91s%E2%80%93Borwein_constant"
    
    - concept: error-function
      arity: 1
      en: error function of $1
      property: function
      area: "special functions"
      mathml:
       - "<math><mrow intent='error-function($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>"
      urls: 
       - "https://mathworld.wolfram.com/ErrorFunction.html"
       - "https://en.wikipedia.org/wiki/Error_function"
       - "https://dlmf.nist.gov/7.2#i"
       - "https://dlmf.nist.gov/7.2#E1"
    
    - concept: essential-extension
      arity: 2
      en: $1 essential extension $2
      property: infix
      area: "abstract algebra"
      mathml:
       - "<math><mrow intent='essential-extension($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>"
      urls: 
       - "https://en.wikipedia.org/wiki/Essential_extension"
      alias:
       - essential-submodule
       - large-submodule
    
    - concept: essential-infimum
      arity: 1
      en: essential infimum of $1
      property: function
      area: "measure theory"
      mathml:
       - "<math><mrow intent='essential-infimum($a1)'><mi>ess inf</mi><mi arg='a1'>x</mi></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/essentialsupremum.html"
       - "https://en.wikipedia.org/wiki/essential_supremum_and_essential_infimum"
       - "https://ncatlab.org/nlab/show/essential+supremum"
    
    - concept: essential-supremum
      arity: 1
      en: essential supremum of $1
      property: function
      area: "measure theory"
      mathml:
       - "<math><mrow intent='essential-supremum($a1)'><mi>ess sup</mi><mi arg='a1'>x</mi></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/EssentialSupremum.html"
       - "https://en.wikipedia.org/wiki/Essential_supremum_and_essential_infimum"
       - "https://ncatlab.org/nlab/show/essential+supremum"
    
    - concept: estimated
      arity: 0
      en: estimated
      property: symbol
      area: "symbols"
      mathml:
       - "<math><mi intent='estimated'>℮</mi></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Estimation"
      alias:
       - estimated-sign
       - e-mark
    
    - concept: etale-cohomology
      arity: 1
      en: etale cohomology of $1
      property: function
      area: "algebraic topology"
      mathml:
       - "<math><mrow intent='etale-cohomology($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"
       - "https://ncatlab.org/nlab/show/etale+cohomology"
       - "https://www.encyclopediaofmath.org/index.php/Etale_cohomology"
    
    - concept: euclid-number
      arity: 1
      en: euclid number $1
      property: symbol
      area: "number theory"
      mathml:
       - "<math><msub intent='euclid-number($a1)'><mi>E</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/EuclidNumber.html"
       - "https://en.wikipedia.org/wiki/Euclid_number"
    
    - concept: euclidean-distance
      arity: 1
      en: euclidean distance of $1
      property: function
      area: "geometry"
      mathml:
       - "<math><mrow intent='euclidean-distance($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: 
       - "https://en.wikipedia.org/wiki/Euclidean_distance"
      alias:
       - euclidean-metric
    
    - concept: euclidean-plane
      arity: 0
      en: euclidean plane
      property: symbol
      area: "geometry"
      mathml:
       - "<math><msup intent='euclidean-plane'><mi>ℝ</mi><mn>2</mn></msup></math>"
      urls: 
       - "https://mathworld.wolfram.com/EuclideanPlane.html"
      alias:
       - euclidean-space
    
    - concept: euler-characteristic
      arity: 1
      en: euler characteristic of $1
      property: function
      area: "algebraic topology"
      mathml:
       - "<math><mrow intent='euler-characteristic($a1)'><mi>χ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/EulerCharacteristic.html"
       - "https://en.wikipedia.org/wiki/Euler_characteristic"
       - "https://ncatlab.org/nlab/show/Euler+characteristic"
       - "https://www.encyclopediaofmath.org/index.php/Euler_characteristic"
    
    - concept: euler-class
      arity: 1
      en: euler class of $1
      property: function
      area: "algebraic topology"
      mathml:
       - "<math><mrow intent='euler-class($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"
       - "https://ncatlab.org/nlab/show/Euler+class"
       - "https://www.encyclopediaofmath.org/index.php/Euler_class"
    
    - concept: euler-constant
      arity: 0
      en: euler constant
      property: symbol
      area: "analysis"
      mathml:
       - "<math><mi intent='euler-constant'>γ</mi></math>"
       - "<math><mi intent='euler-constant'>𝛾</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/Euler-MascheroniConstant.html"
       - "https://en.wikipedia.org/wiki/%CE%93%27(1)"
       - "https://en.wikipedia.org/wiki/Euler%E2%80%93Mascheroni_constant"
       - "https://dlmf.nist.gov/5.2#E3"
       - "https://www.encyclopediaofmath.org/index.php/Euler_constant"
      alias:
       - euler-mascheroni-constant
    
    - concept: euler-number
      arity: 0
      en: euler number
      property: symbol
      area: "physics"
      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>"
      urls: 
       - "https://mathworld.wolfram.com/EulerNumber.html"
       - "https://en.wikipedia.org/wiki/Euler_number"
       - "https://en.wikipedia.org/wiki/Euler_number_(physics)"
       - "https://dlmf.nist.gov/24.1#P2"
       - "https://dlmf.nist.gov/24.2#ii"
       - "https://ncatlab.org/nlab/show/Euler+number"
       - "https://www.encyclopediaofmath.org/index.php/Euler_numbers"
      alias:
       - napier-constant
    
    - concept: euler-polynomial
      arity: 1
      en: euler polynomial of $1
      property: function
      area: "special-functions"
      mathml:
       - "<math><msub intent='euler-polynomial($a1)'><mi>E</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/EulerPolynomial.html"
       - "https://dlmf.nist.gov/24.1#P2"
       - "https://dlmf.nist.gov/24.2#ii"
       - "https://www.encyclopediaofmath.org/index.php/Euler_polynomials"
    
    - concept: euler-totient-function
      arity: 1
      en: euler totient function of $1
      property: function
      area: "number theory"
      mathml:
       - "<math><mrow intent='euler-totient-function($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: 
       - "https://mathworld.wolfram.com/EulerTotientFunction.html"
       - "https://en.wikipedia.org/wiki/Euler%27s_totient_function"
      alias:
       - totient-function
    
    - concept: euler-mascheroni-constant
      arity: 0
      en: euler mascheroni constant
      property: constant
      area: "number theory"
      mathml:
       - "<math><mi intent='euler-mascheroni-constant'>γ</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/Euler-MascheroniConstant.html"
       - "https://en.wikipedia.org/wiki/%CE%93%27(1)"
       - "https://en.wikipedia.org/wiki/Euler%E2%80%93Mascheroni_constant"
    
    - concept: eulerian-number
      arity: 1
      en: eulerian number of $1
      property: function
      area: "combinatorics"
      mathml:
       - "<math><mrow intent='eulerian-number($a1)'><mi>A</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/EulerianNumber.html"
       - "https://en.wikipedia.org/wiki/Eulerian_number"
       - "https://dlmf.nist.gov/26.14#SS1.p3"
    
    - concept: exclusive-or
      arity: 2
      en: $1 exclusive or $2
      property: infix
      area: "logic"
      mathml:
       - "<math><mrow intent='exclusive-or($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,$a2)'><mi arg='a1'>X</mi><mo>↮</mo><mi arg='a2'>Y</mi></mrow></math>"
       - "<math><mrow intent='exclusive-or($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><mi>XOR</mi><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/ExclusiveDisjunction.html"
       - "https://ncatlab.org/nlab/show/exclusive+disjunction"
       - "https://www.encyclopediaofmath.org/index.php/Exclusive_disjunction"
       - "https://en.wikipedia.org/wiki/Exclusive_or"
      alias:
       - exclusive-disjunction
       - xor
    
    - concept: expectation-value
      arity: 1
      en: expectation value of $1
      property: fenced
      area: "quantum physics"
      mathml:
       - "<math><mrow intent='expectation-value($a1)'><mo>⟨</mo><mi arg='a1'>X</mi><mo>⟩</mo></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/ExpectationValue.html"
       - "https://en.wikipedia.org/wiki/Expectation_value_(quantum_mechanics)"
       - "https://ncatlab.org/nlab/show/expectation+value"
    
    - concept: expected-value
      arity: 1
      en: expected value of $1
      property: function
      area: "probability theory"
      mathml:
       - "<math><mrow intent='expected-value($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>"
      urls: 
       - "https://en.wikipedia.org/wiki/Expected_value#Notations"
      alias:
       - mathematical-expectation
       - expectation
       - mean
       - average
       - first-moment
    
    - concept: exponential-factorial
      arity: 1
      en: exponential factorial of $1
      property: postfix
      area: "number theory"
      mathml:
       - "<math><mrow intent='exponential-factorial($a1)'><mi arg='a1'>x</mi><mo>$</mo></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/ExponentialFactorial.html"
       - "https://en.wikipedia.org/wiki/Exponential_factorial"
    
    - concept: exponential-integral
      arity: 1
      en: exponential integral of $1
      property: 
      area: 
      mathml:
       - "<math><mrow intent='exponential-integral($a1)'><mi>Ei</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/ExponentialIntegral.html"
       - "https://en.wikipedia.org/wiki/Exponential_integral"
       - "https://dlmf.nist.gov/6.2#i"
       - "https://dlmf.nist.gov/6.2#E1"
       - "https://dlmf.nist.gov/6.2#SS1.p3"
      alias:
       - ei
    
    - concept: exterior
      arity: 1
      en: exterior of $1
      property: "function, msup"
      area: "topology"
      mathml:
       - "<math><mrow intent='exterior($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: 
       - "https://mathworld.wolfram.com/Exterior.html"
       - "https://en.wikipedia.org/wiki/Exterior_(topology)"
    
    - concept: exterior-derivative
      arity: 1
      en: exterior derivative of $1
      property: operator
      area: "differential forms"
      mathml:
       - "<math><mrow intent='exterior-derivative($a1)'><mi>d</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/ExteriorDerivative.html"
       - "https://en.wikipedia.org/wiki/Exterior_derivative"
    
    - concept: exterior-algebra
      arity: 1
      en: exterior algebra of $1
      property: function
      area: "multilinear algebra"
      mathml:
       - "<math><mrow intent='exterior-algebra($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"
    
    - concept: exterior-product
      arity: 2
      en: $1 exterior product $2
      property: infix
      area: "multilinear algebra"
      mathml:
       - "<math><mrow intent='exterior-product($a1,$a2)'><mi arg='a1'>X</mi><mo>∧</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/ExteriorProduct.html"
       - "https://www.encyclopediaofmath.org/index.php/Exterior_product"
      alias:
       - wedge-product
    
    - concept: f-distribution
      arity: 1
      en: f distribution of $1
      property: "indexed symbol"
      area: "probability theory"
      mathml:
       - "<math><msub intent='f-distribution($a1)'><mi>F</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/F-Distribution.html"
       - "https://www.encyclopediaofmath.org/index.php/F-distribution"
    
    - concept: faber-polynomial
      arity: 1
      en: $1<i>th</i> faber polynomial
      property: function
      area: "polynomials"
      mathml:
       - "<math><msub intent='faber-polynomial($a1)'><mi mathvariant='normal'>P</mi><mi arg='a1'>n</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/FaberPolynomial.html"
       - "https://en.wikipedia.org/wiki/Faber_polynomials"
       - "https://www.encyclopediaofmath.org/index.php/Faber_polynomials"
    
    - concept: falling-factorial
      arity: 2
      en: falling factorial $1 $2
      property: mixfix
      area: "combinatorics"
      mathml:
        - "<math><msub intent='falling-factorial($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: 
       - "https://en.wikipedia.org/wiki/Falling_and_rising_factorials"
       - "https://mathworld.wolfram.com/FallingFactorial.html"
       - "https://dlmf.nist.gov/26.1#P1.p1"
      alias:
       - descending-factorial
       - falling-sequential-product
       - lower-factorial
       - pochhammer-symbol
    
    - concept: fatou-set
      arity: 1
      en: fatou set of $1
      property: function
      area: "complex dynamics"
      mathml:
       - "<math><mrow intent='fatou-set($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"
    
    - concept: farey-sequence
      arity: 0
      en: farey sequence
      property: symbol
      area: "number theory"
      mathml:
       - "<math><mi intent='farey-sequence'>F</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/FareySequence.html"
       - "https://en.wikipedia.org/wiki/Farey_sequence"
    
    - concept: feferman-schutte-ordinal
      arity: 0
      en: feferman schutte ordinal
      property: symbol
      area: "ordinal numbers"
      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"
    
    - concept: feigenbaum-constant
      arity: 0
      en: feigenbaum constant
      property: symbol
      area: "chaos theory"
      mathml:
       - "<math><mi intent='feigenbaum-constant'>δ</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/FeigenbaumConstant.html"
       - "https://en.wikipedia.org/wiki/Feigenbaum_constants"
    
    - concept: fermat-number
      arity: 1
      en: $1<i>th</i> fermat number
      property: "indexed symbol"
      area: "number theory"
      mathml:
       - "<math><msub intent='fermat-number($a1)'><mi>F</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/FermatNumber.html"
       - "https://en.wikipedia.org/wiki/Fermat_number"
    
    - concept: fermat-quotient
      arity: 1
      en: fermat quotient of $1
      property: function
      area: "number theory"
      mathml:
       - "<math><msub intent='fermat-quotient($a1)'><mi>q</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/FermatQuotient.html"
       - "https://en.wikipedia.org/wiki/Fermat_quotient"
    
    - concept: fermi-dirac-distribution
      arity: 1
      en: fermi dirac distribution of $1
      property: function
      area: "quantum statistics"
      mathml:
       - "<math><msub intent='fermi-dirac-distribution($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"
      alias:
       - f-d-distribution
    
    - concept: feynman-slash
      arity: 1
      en: feynman slash of $1
      property: menclose
      area: "quantum field theory"
      mathml:
       - "<math><menclose  notation='updiagonalstrike' intent='feynman-slash($a1)'><mi arg='a1'>A</mi></menclose></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Feynman_slash_notation"
    
    - concept: fibonacci-number
      arity: 1
      en: $1<i>th</i> fibonacci number
      property: "indexed symbol"
      area: "number theory"
      mathml:
       - "<math><msub intent='fibonacci-number($a1)'><mi>F</mi><mi arg='a1'>n</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/FibonacciNumber.html"
       - "https://en.wikipedia.org/wiki/Fibonacci_number"
       - "https://en.wikipedia.org/wiki/Fibonacci_numbers_in_popular_culture"
       - "https://dlmf.nist.gov/26.11#p4"
       - "https://www.encyclopediaofmath.org/index.php/Fibonacci_numbers"
    
    - concept: fibonacci-polynomial
      arity: 1
      en: fibonacci polynomial of $1
      property: "indexed function"
      area: "polynomials"
      mathml:
       - "<math><msub intent='fibonacci-polynomial($a1)'><mi>F</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/FibonacciPolynomial.html"
       - "https://en.wikipedia.org/wiki/Fibonacci_polynomials"
       - "https://www.encyclopediaofmath.org/index.php/Fibonacci_polynomials"
    
    - concept: fibre-product
      arity: 1
      en: fibre product of $1
      property: indexed infix
      area: "category theory"
      mathml:
       - "<math><msub intent='fibre-product($a1)'><mi>×</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Pullback_(category_theory)"
       - "https://www.encyclopediaofmath.org/index.php/Fibre_product"
      alias:
       - pullback
       - fiber-product
       - cartesian-square
    
    - concept: field-extension
      arity: 2
      en: $1 field extension $2
      property: infix
      area: "algebra"
      mathml:
       - "<math><mrow intent='field-extension($a1,$a2)'><mi arg='a1'>X</mi><mo>/</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/FieldExtension.html"
       - "https://en.wikipedia.org/wiki/Field_extension"
       - "https://ncatlab.org/nlab/show/field+extension"
       - "https://www.encyclopediaofmath.org/index.php/Field_extension"
    
    - concept: field-of-sets
      arity: 2
      en: field of sets
      property: fenced
      area: "boolean algebra"
      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"
       - "https://www.encyclopediaofmath.org/index.php/Field_of_sets"
    
    - concept: first-isogonic-center
      arity: 0
      en: first isogonic center
      property: symbol
      area: "geometry"
      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"
    
    - concept: fisher-information
      arity: 1
      en: fisher information of $1
      property: function
      area: "statistics"
      mathml:
       - "<math><mrow intent='fisher-information($a1)'><mi>I</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/FisherInformation.html"
       - "https://en.wikipedia.org/wiki/Fisher_information"
      alias:
       - information
    
    - concept: flattening
      arity: 0
      en: flattening
      property: symbol
      area: "celestial mechanics"
      mathml:
       - "<math><mi intent='flattening'>f</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/Flattening.html"
       - "https://en.wikipedia.org/wiki/Flattening"
      alias:
       - ellipticity
       - oblateness
    
    - concept: floor
      arity: 1
      en: floor of $1
      property: fenced, function
      area: "number theory"
      mathml:
       - "<math><mrow intent='floor($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>"
       - "<math><mrow intent='floor($a1)'><mi>floor</mi><mrow><mo>(</mo><mi arg='a1'>X</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://youtu.be/RxNs4SwP6lk"
       - "https://youtu.be/RxNs4SwP6lk"
       - "https://drive.google.com/file/d/1T3zc--Fbz0tFHaJq527Y_ZUyAvpOdSuM/view"
    
    - concept: fock-space
      arity: 1
      en: fock space of $1
      property: function
      area: "quantum mechanics"
      mathml:
       - "<math><mrow intent='fock-space($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"
       - "https://ncatlab.org/nlab/show/Fock+space"
       - "https://www.encyclopediaofmath.org/index.php/Fock_space"
    
    - concept: forward-difference
      arity: 3
      en: $1<i>th</i> forward difference of $3 over $2
      property: operator
      area: "numerical analysis"
      mathml:
       - "<math><mrow intent='forward-difference($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)"
       - "https://dlmf.nist.gov/18.1#EGx1"
    
    - concept: fourier-cosine-transform
      arity: 1
      en: fourier cosine transform of $1
      property: operator
      area: "functional analysis"
      mathml:
       - "<math><mrow intent='fourier-cosine-transform($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"
       - "https://dlmf.nist.gov/1.14#E9"
       - "https://www.encyclopediaofmath.org/index.php/Fourier_cosine_transform"
    
    - concept: fourier-sine-transform
      arity: 1
      en: fourier sine transform of $1
      property: operator
      area: "functional analysis"
      mathml:
       - "<math><mrow intent='fourier-sine-transform($a1)'><msub><mi>ℱ</mi><mi>s</mi></msub><mi arg='a1'>f</mi></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/FourierSineTransform.html"
       - "https://dlmf.nist.gov/1.14#E10"
       - "https://www.encyclopediaofmath.org/index.php/Fourier_sine_transform"
    
    - concept: fourier-transform
      arity: 1
      en: fourier transform of $1
      property: mover
      area: "fourier analysis"
      mathml:
       - "<math><mover intent='fourier-transform($a1)'><mi arg='a1'>f</mi><mo>^</mo></mover></math>"
      urls: 
       - "https://mathworld.wolfram.com/FourierTransform.html"
       - "https://en.wikipedia.org/wiki/%E2%84%B1"
       - "https://en.wikipedia.org/wiki/Fourier_transform"
       - "https://dlmf.nist.gov/1.14#E1"
       - "https://ncatlab.org/nlab/show/Fourier+transform"
       - "https://www.encyclopediaofmath.org/index.php/Fourier_transform"
    
    - concept: fox-derivative
      arity: 1
      en: fox derivative of $1
      property: mfrac
      area: "geometric topology"
      mathml:
      - "<math><mfrac intent='fox-derivative(($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"
       - "https://en.wikipedia.org/wiki/Fox_derivative"
       - "https://ncatlab.org/nlab/show/Fox+derivative"
    
    - concept: fox-wright-function
      arity: 2
      en: fox wright function  $1 $2
      property: mmultiscripts
      area: "special functions"
      mathml:
       - "<math><mmultiscripts intent='fox-wright-function($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"
      alias:
       - wright-function
    
    - concept: fractional-derivative
      arity: 1
      en: fractional derivative of $1
      property: operator
      area: "fractional caclulus"
      mathml:
       - "<math><msup intent='fractional-derivative($a1)'><mi>D</mi><mi arg='a1'>f</mi></msup></math>"
      urls: 
       - "https://mathworld.wolfram.com/FractionalDerivative.html"
       - "https://dlmf.nist.gov/1.15#E51"
    
    - concept: fractional-integral
      arity: 1
      en: fractional integral of $1
      property: operator
      area: "fractional caclulus"
      mathml:
       - "<math><msup intent='fractional-integral($a1)'><mi>I</mi><mi arg='a1'>f</mi></msup></math>"
      urls: 
       - "https://mathworld.wolfram.com/FractionalIntegral.html"
       - "https://dlmf.nist.gov/1.15#E47"
       - "https://dlmf.nist.gov/2.6#E33"
    
    - concept: fractional-part
      arity: 1
      en: fractional part of $1
      property: "function, fenced"
      area: "arithmetic"
      mathml:
       - "<math><mrow intent='fractional-part($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>"
      urls: 
       - "https://mathworld.wolfram.com/FractionalPart.html"
       - "https://en.wikipedia.org/wiki/Fractional_part"
       - "https://en.wikipedia.org/wiki/Floor_and_ceiling_functions"
       - "https://en.wikipedia.org/wiki/Phase_(waves)"
      alias:
       - decimal-part
    
    - concept: franel-number
      arity: 1
      en: $1<i>th</i> franel number
      property: "indexed symbol"
      area: "combinatorics"
      mathml:
       - "<math><mrow intent='franel-number($a1)'><mi>Fr</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/FranelNumber.html"
    
    - concept: frattini-subgroup
      arity: 1
      en: frattini subgroup of $1
      property: function
      area: "group theory"
      mathml:
       - "<math><mrow intent='frattini-subgroup($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: 
       - "https://mathworld.wolfram.com/FrattiniSubgroup.html"
       - "https://en.wikipedia.org/wiki/Frattini_subgroup"
       - "https://www.encyclopediaofmath.org/index.php/Frattini_subgroup"
    
    - concept: frechet-derivative
      arity: 1
      en: frechet derivative of $1
      property: operator
      area: "banach spaces"
      mathml:
       - "<math><mrow intent='frechet-derivative($a1)'><mi>D</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/FrechetDerivative.html"
       - "https://en.wikipedia.org/wiki/Fr%C3%A9chet_derivative"
       - "https://www.encyclopediaofmath.org/index.php/Frechet_derivative"
       - "https://www.encyclopediaofmath.org/index.php/Fréchet_derivative"
    
    - concept: frechet-topology
      arity: 0
      en: frechet topology
      property: constant
      area: "topology"
      mathml:
       - "<math><msub intent='frechet-topology'><mi>T</mi><mn>1</mn></msub></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Separation_axiom#Main_definitions"
      alias:
       - tikhonov-space
       - accessible-space
    
    - concept: fredholm-determinant
      arity: 1
      en: fredholm determinant of $1
      property: function
      area: "mathematical physics"
      mathml:
       - "<math><mrow intent='fredholm-determinant($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"
       - "https://ncatlab.org/nlab/show/Fredholm+determinant"
       - "https://ncatlab.org/nlab/show/Fredholm+determinant"
    
    - concept: free-algebra
      arity: 2
      en: free algebra $1 $2
      property: mixfix
      area: "ring theory"
      mathml:
       - "<math><mrow intent='free-algebra($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"
       - "https://en.wikipedia.org/wiki/Free_algebra"
       - "https://www.encyclopediaofmath.org/index.php/Free_algebra"
    
    - concept: free-module
      arity: 2
      en: $1 free module on $2
      property: mixfix, msup
      area: "module theory"
      mathml:
       - "<math><mrow intent='free-module($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: 
       - "https://mathworld.wolfram.com/FreeModule.html"
       - "https://en.wikipedia.org/wiki/Free_module"
       - "https://ncatlab.org/nlab/show/free+module"
       - "https://www.encyclopediaofmath.org/index.php/Free_module"
    
    - concept: free-monoid
      arity: 1
      en: free monoid of $1
      property: msup
      area: "abstract algebra"
      mathml:
       - "<math><msup intent='free-monoid($a1)'><mi arg='a1'>X</mi><mo>*</mo></msup></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Free_monoid"
       - "https://en.wikipedia.org/wiki/Monoid_factorisation"
       - "https://ncatlab.org/nlab/show/free+monoid"
    
    - concept: free-product
      arity: 2
      en: $1 free product $2
      property: infix
      area: "group theory"
      mathml:
       - "<math><mrow intent='free-product($a1,$a2)'><mi arg='a1'>X</mi><mo>*</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/FreeProduct.html"
       - "https://en.wikipedia.org/wiki/Free_product"
       - "https://www.encyclopediaofmath.org/index.php/Free_product"
    
    - concept: fresnel-integral
      arity: 1
      en: fresnel integral of $1
      property: operator
      area: "special functions"
      mathml:
       - "<math><mrow intent='fresnel-integral($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>"
      urls: 
       - "https://mathworld.wolfram.com/FresnelIntegrals.html"
       - "https://en.wikipedia.org/wiki/Fresnel_integral"
       - "https://dlmf.nist.gov/7.2#iii"
       - "https://dlmf.nist.gov/7.2#E7"
       - "https://dlmf.nist.gov/7.2#E6"
       - "https://dlmf.nist.gov/7.2#E8"
       - "https://www.encyclopediaofmath.org/index.php/Fresnel_integrals"
    
    - concept: frobenius-norm
      arity: 1
      en: frobenius norm of $1
      property: indexed fenced
      area: "linear algebra"
      mathml:
       - "<math><msub intent='frobenius-norm($a1)'><mrow><mo>‖</mo><mi arg='a1'>A</mi><mo>‖</mo></mrow><mi>F</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/FrobeniusNorm.html"
       - "https://www.encyclopediaofmath.org/index.php/Frobenius_matrix_norm"
      alias:
       - euclidean-norm
       - frobenius-matrix-norm
    
    - concept: frolicher-nijenhuis-bracket
      arity: 2
      en: frolicher nijenhuis bracket
      property: fenced
      area: "differntial geometry"
      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"
       - "https://encyclopediaofmath.org/wiki/Fr%C3%B6licher-Nijenhuis_bracket"
    
    - concept: functional-congruence
      arity: 3
      en: functional congruence of $1 and $2 mod $3
      property: mixfix
      area: "number theory"
      mathml:
       - "<math><mrow intent='functional-congruence($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"
      alias:
       - identical-congruence
    
    - concept: functor-category
      arity: 2
      en: functor category
      property: msup, fenced
      area: "category theory"
      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: 
       - "https://en.wikipedia.org/wiki/Functor_category"
       - "https://ncatlab.org/nlab/show/functor+category"
    
    - concept: fundamental-matrix
      arity: 0
      en: fundamental matrix
      property: symbol
      area: "computer vision"
      mathml:
       - "<math><mi intent='fundamental-matrix'>F</mi></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Fundamental_matrix_(computer_vision)"
    
    - concept: g-function
      arity: 1
      en: g function of $1
      property: "indexed function"
      area: "special functions"
      mathml:
       - "<math><mrow intent='g-function($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"
       - "https://en.wikipedia.org/wiki/Meijer_G-function"
      alias:
       - meijer-g-function
    
    - concept: gabor-transform
      arity: 1
      en: gabor transform of $1
      property: operator
      area: "integral transforms"
      mathml:
       - "<math><mrow intent='gabor-transform($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"
       - "https://en.wikipedia.org/wiki/Gabor%E2%80%93Wigner_transform"
       - "https://www.encyclopediaofmath.org/index.php/Gabor_transform"
    
    - concept: gain-function
      arity: 1
      en: gain function of $1
      property: function
      area: "graph theory"
      mathml:
       - "<math><mrow intent='gain-function($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"
       - "https://en.wikipedia.org/wiki/Gain_group"
       - "https://www.encyclopediaofmath.org/index.php/Gain_function"
    
    - concept: galilean-transformation
      arity: 1
      en: galilean transformation of $1
      property: function
      area: "physics"
      mathml:
       - "<math><mrow intent='galilean-transformation($a1)'><mi>G</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/GalileanTransformation.html"
       - "https://en.wikipedia.org/wiki/Galilean_transformation"
       - "https://www.encyclopediaofmath.org/index.php/Galilean_transformation"
    
    - concept: galois-field
      arity: 1
      en: galois field of $1
      property: function
      area: "finite fields"
      mathml:
       - "<math><mrow intent='galois-field($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>"
      urls: 
       - "https://mathworld.wolfram.com/GaloisField.html"
       - "https://en.wikipedia.org/wiki/Finite_field"
       - "https://www.encyclopediaofmath.org/index.php/Galois_field"
      alias:
       - finite-field
    
    - concept: galois-group
      arity: 1
      en: galois group of $1
      property: function
      area: "abstract algebra"
      mathml:
       - "<math><mrow intent='galois-group($a1)'><mi>Gal</mi><mi arg='a1'>G</mi></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/GaloisGroup.html"
       - "https://en.wikipedia.org/wiki/Galois_group"
       - "https://ncatlab.org/nlab/show/Galois+group"
       - "https://www.encyclopediaofmath.org/index.php/Galois_group"
    
    - concept: gamma-distribution
      arity: 0
      en: gamma distribution
      property: symbol
      area: "probability theory"
      mathml:
       - "<math><mi intent='gamma-distribution'>Γ</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/GammaDistribution.html"
       - "https://en.wikipedia.org/wiki/Gamma_distribution"
    
    - concept: gamma-function
      arity: 1
      en: gamma function of $1
      property: operator
      area: "special functions"
      mathml:
       - "<math><mrow intent='gamma-function($a1)'><mi>Γ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/GammaFunction.html"
       - "https://en.wikipedia.org/wiki/%CE%93(x)"
       - "https://en.wikipedia.org/wiki/Gamma_function"
       - "https://dlmf.nist.gov/5#PT2"
       - "https://dlmf.nist.gov/5.2#E1"
       - "https://ncatlab.org/nlab/show/Gamma+function"
      alias:
       - euler-integral-of-the-second-kind
    
    - concept: gateaux-derivative
      arity: 3
      en: gateaux derivative of $1 at $2 ; £3
      property: mixfix
      area: "differential calculus"
      mathml:
      - "<math><mrow intent='gateaux-derivative($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"
       - "https://en.wikipedia.org/wiki/G%C3%A2teaux_derivative"
       - "https://www.encyclopediaofmath.org/index.php/Gateaux_derivative"
      alias:
       - gateaux-differential
    
    - concept: gauss
      arity: 1
      en: gauss of $1
      property: unit
      area: "physics"
      mathml:
       - "<math><mrow intent='gauss($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)"
    
    - concept: gaussian-distribution
      arity: 0
      en: gaussian distribution
      property: symbol
      area: "probability theory"
      mathml:
       - "<math><mi intent='gaussian-distribution'>𝒩</mi></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Normal_distribution"
      alias:
       - normal-distribution
       - gauss-distribution
       - laplace-gauss-distribution
    
    - concept: gaussian-curvature
      arity: 1
      en: gaussian curvature of $1
      property: function
      area: "differential geometry"
      mathml:
       - "<math><mrow intent='gaussian-curvature($a1)'><mi>Κ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/GaussianCurvature.html"
       - "https://en.wikipedia.org/wiki/Gaussian_curvature"
       - "https://www.encyclopediaofmath.org/index.php/Gaussian_curvature"
    
    - concept: gaussian-integers
      arity: 0
      en: gaussian integers
      property: constant
      area: "number theory"
      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"
       - "https://en.wikipedia.org/wiki/Gaussian_integer"
       - "https://en.wikipedia.org/wiki/Gaussian_prime"
    
    - concept: gegenbauer-polynomial
      arity: 2
      en: gegenbauer polynomial
      property: "indexed function"
      area: "orthogonal polynomials"
      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: 
       - "https://mathworld.wolfram.com/GegenbauerPolynomial.html"
       - "https://en.wikipedia.org/wiki/Gegenbauer_polynomials"
       - "https://www.encyclopediaofmath.org/index.php/Gegenbauer_polynomials"
       - "https://dlmf.nist.gov/18.3#T1.t1.r3"
    
    - concept: gelfand-triple
      arity: 3
      en: gelfand triple of $1, $2 and $3
      property: fenced
      area: "functional analysis"
      mathml:
       - "<math><mrow intent='gelfand-triple($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)"
    
    - concept: gelfond-constant
      arity: 0
      en: gelfond constant
      property: constant
      area: "transcendental constants"
      mathml:
       - "<math><msup intent='gelfond-constant'><mi>e</mi><mi>π</mi></msup></math>"
      urls: 
       - "https://mathworld.wolfram.com/GelfondsConstant.html"
       - "https://en.wikipedia.org/wiki/Gelfond%27s_constant"
    
    - concept: gelfond-schneider-constant
      arity: 0
      en: gelfond schneider constant
      property: constant
      area: "transcendental constants"
      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"
       - "https://en.wikipedia.org/wiki/Gelfond%E2%80%93Schneider_constant"
    
    - concept: gell-mann-matrix
      arity: 0
      en: gell mann matrix
      property: symbol
      area: "particle physics"
      mathml:
       - "<math><mi intent='gell-mann-matrix'>λ</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/Gell-MannMatrix.html"
       - "https://en.wikipedia.org/wiki/Gell-Mann_matrices"
       - "https://www.encyclopediaofmath.org/index.php/Gell-Mann_matrices"
    
    - concept: general-linear-group
      arity: 1
      en: general linear group of $1
      property: function
      area: "group theory"
      mathml:
       - "<math><mrow intent='general-linear-group($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: 
       - "https://mathworld.wolfram.com/GeneralLinearGroup.html"
       - "https://en.wikipedia.org/wiki/General_linear_group"
       - "https://en.wikipedia.org/wiki/GL(n,C)"
       - "https://ncatlab.org/nlab/show/general+linear+group"
       - "https://www.encyclopediaofmath.org/index.php/General_linear_group"
    
    - concept: generalized-hypergeometric-function
      arity: 2
      en: generalized hypergeometric function $1 $2
      property: mmultiscripts
      area: "special functions"
      mathml:
       - "<math><mmultiscripts intent='fox-wright-function($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"
       - "https://en.wikipedia.org/wiki/Generalized_hypergeometric_function"
       - "https://dlmf.nist.gov/16.2#i"
       - "https://dlmf.nist.gov/16.2#E1"
       - "https://dlmf.nist.gov/16.5#p4"
       - "https://dlmf.nist.gov/16.2#E1"
       - "https://dlmf.nist.gov/16.5#p4"
       - "https://dlmf.nist.gov/16.2#E1"
       - "https://dlmf.nist.gov/16.5#p4"
       - "https://dlmf.nist.gov/16.2#E1"
       - "https://dlmf.nist.gov/16.5#p4"
    
    - concept: generalized-mean
      arity: 1
      en: generalized mean of $1
      property: function
      area: "means"
      mathml:
       - "<math><msub intent='generalized-mean($a1)'><mi>M</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/GeneralizedMean.html"
       - "https://en.wikipedia.org/wiki/Generalized_mean"
       - "https://en.wikipedia.org/wiki/Power_mean"
      alias:
       - hoelder-mean
       - power-mean
    
    - concept: genocchi-number
      arity: 1
      en: genocchi number
      property: symbol
      area: "integer sequences"
      mathml:
       - "<math><msub intent='genocchi-number($a1)'><mi>G</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/GenocchiNumber.html"
       - "https://en.wikipedia.org/wiki/Genocchi_number"
       - "https://en.wikipedia.org/wiki/Genocchi_prime"
       - "https://dlmf.nist.gov/24.15#i"
    
    - concept: geodesic-curvature
      arity: 0
      en: geodesic curvature
      property: symbol
      area: "riemannian geometry"
      mathml:
       - "<math><msub intent='geodesic-curvature'><mi>k</mi><mi>g</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/GeodesicCurvature.html"
       - "https://en.wikipedia.org/wiki/Geodesic_curvature"
       - "https://www.encyclopediaofmath.org/index.php/Geodesic_curvature"
    
    - concept: geodesic-distance
      arity: 1
      en: geodesic distance of $1
      property: function
      area: "graph theory"
      mathml:
       - "<math><mrow intent='geodesic-distance($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)"
       - "https://en.wikipedia.org/wiki/Diameter_(graph_theory)"
       - "https://en.wikipedia.org/wiki/Radius_(graph_theory)"
       - "https://www.encyclopediaofmath.org/index.php/Geodesic_distance"
      alias:
       - distance
    
    - concept: geometric-genus
      arity: 1
      en: geometric genus of $1
      property: function
      area: "algebraic geometry"
      mathml:
       - "<math><msub intent='geometric-genus($a1)'><mi arg='a1'>p</mi><mi>g</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/GeometricGenus.html"
       - "https://en.wikipedia.org/wiki/Geometric_genus"
       - "https://www.encyclopediaofmath.org/index.php/Geometric_genus"
    
    - concept: geometric-integral
      arity: 2
      en: geometric integral over $1 $2
      property: indexed
      area: "calculus"
      mathml:
       - "<math><mrow intent='geometric-integral($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"
    
    - concept: geometric-mean
      arity: 1
      en: geometric mean of $1
      property: function
      area: "means"
      mathml:
       - "<math><mrow intent='geometric-mean($a1)'><mi>GM</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/GeometricMean.html"
       - "https://en.wikipedia.org/wiki/Geometric_mean"
       - "https://www.encyclopediaofmath.org/index.php/Geometric_mean"
    
    - concept: geometric-product
      arity: 2
      en: $1 geometric product $2
      property: infix
      area: "geometric algebra"
      mathml:
       - "<math><mrow intent='geometric-product($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"
    
    - concept: germ
      arity: 2
      en: germ of $1 at $2
      property: mixfix
      area: "topology"
      mathml:
       - "<math><msub intent='germ($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)"
       - "https://ncatlab.org/nlab/show/germ"
       - "https://www.encyclopediaofmath.org/index.php/Germ"
    
    - concept: glaisher-constant
      arity: 0
      en: glaisher constant
      property: constant
      area: "number theory"
      mathml:
       - "<math><mi intent='glaisher-constant'>A</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/GlaisherConstant.html"
       - "https://en.wikipedia.org/wiki/Glaisher%E2%80%93Kinkelin_constant"
       - "https://dlmf.nist.gov/5.17#E6"
      alias:
       - glaisher-kinkelin-constant
    
    - concept: global-dimension
      arity: 1
      en: global dimension of $1
      property: function
      area: "ring theory"
      mathml:
       - "<math><mrow intent='global-dimension($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"
      alias:
       - global-homological-dimension
       - homological-dimension
    
    - concept: golden-ratio
      arity: 0
      en: golden ratio
      property: constant
      area: "geometry"
      mathml:
       - "<math><mi intent='golden-ratio'>φ</mi></math>"
       - "<math><mi intent='golden-ratio'>ϕ</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/GoldenRatio.html"
       - "https://en.wikipedia.org/wiki/Golden_ratio"
       - "https://en.wikipedia.org/wiki/List_of_works_designed_with_the_golden_ratio"
       - "https://www.encyclopediaofmath.org/index.php/Golden_ratio"
      alias:
       - golden-number
       - golden-mean
       - golden-section
       - medial-section
       - divine-proportion
       - divine-section
       - golden-proportion
       - golden-cut
    
    - concept: graham-number
      arity: 0
      en: graham number
      property: constant
      area: "ramsey theory"
      mathml:
       - "<math><msub intent='graham-number'><mi>G</mi><mn>64</mn></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/GrahamsNumber.html"
       - "https://en.wikipedia.org/wiki/Graham%27s_number"
    
    - concept: gram-determinant
      arity: 1
      en: gram determinant of $1
      property: function
      area: "linear algebra"
      mathml:
       - "<math><mrow intent='gram-determinant($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: 
       - "https://mathworld.wolfram.com/GramDeterminant.html"
       - "https://www.encyclopediaofmath.org/index.php/Gram_determinant"
    
    - concept: gram-matrix
      arity: 0
      en: gram matrix
      property: symbol
      area: "linear algebra"
      mathml:
       - "<math><mi intent='gram-matrix'>G</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/GramMatrix.html"
       - "https://en.wikipedia.org/wiki/Gramian_matrix"
       - "https://www.encyclopediaofmath.org/index.php/Gram_matrix"
      alias:
       - gramian-matrix
       - gramian
    
    - concept: grassmannian
      arity: 1
      en: grassmannian of $1
      property: function
      area: "differential geometry"
      mathml:
       - "<math><mrow intent='grassmannian($a1)'><mi>Gr</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/Grassmannian.html"
       - "https://en.wikipedia.org/wiki/Grassmannian"
       - "https://ncatlab.org/nlab/show/Grassmannian"
    
    - concept: green-function
      arity: 1
      en: green function of $1
      property: function
      area: "mathematical physics"
      mathml:
       - "<math><mrow intent='green-function($a1)'><mi>G</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/GreensFunction.html"
       - "https://en.wikipedia.org/wiki/Green%27s_function_(many-body_theory)"
       - "https://en.wikipedia.org/wiki/Green%27s_function"
       - "https://en.wikipedia.org/wiki/Propagator"
       - "https://www.encyclopediaofmath.org/index.php/Green_function"
    
    - concept: grobner-basis
      arity: 0
      en: grobner basis
      property: symbol
      area: "computer algebra"
      mathml:
       - "<math><mi intent='grobner-basis'>G</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/GroebnerBasis.html"
       - "https://en.wikipedia.org/wiki/Gr%C3%B6bner_basis"
       - "https://www.encyclopediaofmath.org/index.php/Gröbner_basis"
    
    - concept: group-algebra
      arity: 2
      en: group algebra $2 over $1
      property: mixfix
      area: "ring theory"
      mathml:
       - "<math><mrow intent='group-algebra($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: 
       - "https://mathworld.wolfram.com/GroupAlgebra.html"
       - "https://en.wikipedia.org/wiki/Group_algebra"
       - "https://ncatlab.org/nlab/show/group+algebra"
       - "https://www.encyclopediaofmath.org/index.php/Group_algebra"
    
    - concept: group-of-units
      arity: 1
      en: group of units of $1
      property: msup, function
      area: "ring theory"
      mathml:
       - "<math><msup intent='group-of-units($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>"
      urls: 
       - "https://ncatlab.org/nlab/show/group+of+units"
       - "https://ncatlab.org/nlab/show/group+of+units"
    
    - concept: group-ring
      arity: 2
      en: group ring $2 over $1
      property: mixfix, infix
      area: "ring theory"
      mathml:
       - "<math><mrow intent='group-ring($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: 
       - "https://mathworld.wolfram.com/GroupRing.html"
       - "https://en.wikipedia.org/wiki/Group_ring"
    
    - concept: gudermannian-function
      arity: 1
      en: gudermannian function of $1
      property: function
      area: "trigonometry"
      mathml:
       - "<math><mrow intent='gudermannian-function($a1)'><mi>gd</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/GudermannianFunction.html"
       - "https://en.wikipedia.org/wiki/Gudermannian_function"
       - "https://dlmf.nist.gov/4.23#E39"
      alias:
       - gudermannian
    
    - concept: hadamard-product
      arity: 2
      en: $1 hadamard product $2
      property: infix
      area: "algebra"
      mathml:
       - "<math><mrow intent='hadamard-product($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: 
       - "https://mathworld.wolfram.com/HadamardProduct.html"
       - "https://en.wikipedia.org/wiki/Hadamard_product_(matrices)"
      alias:
       - elementwise-product
       - entrywise-product
       - schur-product
    
    - concept: hahn-polynomial
      arity: 1
      en: hahn polynomial of $1
      property: function
      area: "orthogonal polynomials"
      mathml:
       - "<math><msub intent='hahn-polynomial($a1)'><mi>q</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/HahnPolynomial.html"
       - "https://en.wikipedia.org/wiki/Hahn_polynomials"
       - "https://dlmf.nist.gov/18.19#T1.t1.r3"
    
    - concept: hamiltonian
      arity: 1
      en: hamiltonian of $1
      property: operator
      area: "quantum mechanics"
      mathml:
       - "<math><mrow intent='hamiltonian($a1)'><mi>H</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
      notationc: "mover H ˇ"
      notationb: "mover H ^"
      notationa: "mrow &lt; H &gt;"
      urls: 
       - "https://en.wikipedia.org/wiki/Hamiltonian_(quantum_mechanics)"
       - "https://en.wikipedia.org/wiki/Hamiltonian_vector_field"
       - "https://en.wikipedia.org/wiki/Hamiltonian_(control_theory)"
       - "https://ncatlab.org/nlab/show/Hamiltonian"
       - "https://www.encyclopediaofmath.org/index.php/Hamiltonian"
    
    - concept: hankel-function
      arity: 1
      en: hankel function of $1
      property: "indexed function"
      area: "special functions"
      mathml:
       - "<math><mrow intent='hankel-function($a1)'><mi>H</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/HankelFunction.html"
       - "https://dlmf.nist.gov/10.1"
       - "https://www.encyclopediaofmath.org/index.php/Hankel_functions"
    
    - concept: hardy-class
      arity: 1
      en: hardy class of $1
      property: "indexed symbol"
      area: "complex analysis"
      mathml:
       - "<math><msup intent='hardy-class($a1)'><mi>H</mi><mi arg='a1'>x</mi></msup></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Hardy_space"
       - "https://www.encyclopediaofmath.org/index.php/Hardy_classes"
      alias:
       - hardy-space
    
    - concept: hardy-space
      arity: 1
      en: hardy space of $1
      property: mixfix
      area: "complex analysis"
      mathml:
       - "<math><msup intent='hardy-space($a1)'><mi>H</mi><mi arg='a1'>p</mi></msup></math>"
      urls: 
       - "https://mathworld.wolfram.com/HardySpace.html"
       - "https://en.wikipedia.org/wiki/Hardy_space"
       - "https://www.encyclopediaofmath.org/index.php/Hardy_spaces"
    
    - concept: hardy-littlewood-maximal-operator
      arity: 1
      en: hardy littlewood maximal operator of $1
      property: operator
      area: "real analysis"
      mathml:
       - "<math><mrow intent='hardy-littlewood-maximal-operator($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"
      alias:
       - hardy-littlewood-maximal-function
    
    - concept: harmonic-mean
      arity: 1
      en: harmonic mean of $1
      property: function
      area: "means"
      mathml:
       - "<math><mrow intent='harmonic-mean($a1)'><mi>H</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/HarmonicMean.html"
       - "https://en.wikipedia.org/wiki/Harmonic_mean"
       - "https://en.wikipedia.org/wiki/Subcontrary_mean"
      alias:
       - subcontrary-mean
    
    - concept: hausdorff-measure
      arity: 1
      en: hausdorff measure of $1
      property: "indexed function"
      area: "metric geometry"
      mathml:
       - "<math><msup intent='hausdorff-measure($a1)'><mi>H</mi><mi arg='a1'>d</mi></msup></math>"
      urls: 
       - "https://mathworld.wolfram.com/HausdorffMeasure.html"
       - "https://en.wikipedia.org/wiki/Hausdorff_measure"
    
    - concept: hausdorff-metric
      arity: 2
      en: hausdorff distance $1 $2
      property: function
      area: "metric geometry"
      mathml:
       - "<math><mrow intent='hausdorff-metric($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"
       - "https://ncatlab.org/nlab/show/Hausdorff+metric"
    
    - concept: hausdorff-space
      arity: 0
      en: hausdorff space
      property: constant
      area: "topology"
      mathml:
       - "<math><msub intent='hausdorff-space'><mi>T</mi><mn>2</mn></msub></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Separation_axiom#Main_definitions"
      alias:
       - separated-space
    
    - concept: hazard-function
      arity: 1
      en: hazard function of $1
      property: function
      area: "engineering"
      mathml:
       - "<math><mrow intent='hazard-function($a1)'><mi>h</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/HazardFunction.html"
      alias:
       - failure-rate
    
    - concept: heaviside-function
      arity: 1
      en: heaviside function of $1
      property: function
      area: "special functions"
      mathml:
       - "<math><mrow intent='heaviside-function($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"
       - "https://en.wikipedia.org/wiki/Heaviside_step_function"
      alias:
       - heaviside-step-function
       - unit-step-function
    
    - concept: heawood-number
      arity: 1
      en: heawood number of $1
      property: function
      area: "topological graph theory"
      mathml:
       - "<math><mrow intent='heawood-number($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"
    
    - concept: hecke-operator
      arity: 1
      en: hecke operator of $1
      property: operator
      area: "modular forms"
      mathml:
       - "<math><msub intent='hecke-operator($a1)'><mi>T</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/HeckeOperator.html"
       - "https://en.wikipedia.org/wiki/Hecke_operator"
    
    - concept: height-function
      arity: 1
      en: height function of $1
      property: function
      area: "algebra"
      mathml:
       - "<math><mrow intent='height-function($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: 
       - "https://en.wikipedia.org/wiki/Height_of_a_polynomial"
    
    - concept: height-of-abelian-group
      arity: 1
      en: height of abelian group of $1
      property: function
      area: "group theory"
      mathml:
       - "<math><msub intent='height-of-abelian-group($a1)'><mi>h</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Height_(abelian_group)"
    
    - concept: height-of-prime-ideal
      arity: 1
      en: height of prime ideal of $1
      property: function
      area: "commutative algebra"
      mathml:
       - "<math><mrow intent='height-of-prime-ideal($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"
      alias:
       - codimension-of-prime-ideal
       - rank-of-prime-ideal
       - altitude-of-prime-ideal
    
    - concept: heisenberg-group
      arity: 1
      en: heisenberg group
      property: symbol
      area: "group theory"
      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"
       - "https://en.wikipedia.org/wiki/Heisenberg_group"
       - "https://ncatlab.org/nlab/show/Heisenberg+group"
    
    - concept: hermite-polynomial
      arity: 1
      en: hermite polynomial of $1
      property: function
      area: "special functions"
      mathml:
       - "<math><mrow intent='hermite-polynomial($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: 
       - "https://mathworld.wolfram.com/HermitePolynomial.html"
       - "https://en.wikipedia.org/wiki/Hermite_polynomials"
       - "https://dlmf.nist.gov/18.3"
       - "https://dlmf.nist.gov/18.3#T1.t1.r28"
       - "https://dlmf.nist.gov/18.3#T1.t1.r29"
    
    - concept: hermitian-adjoint
      arity: 1
      en: hermitian adjoint of $1
      property: msup
      area: "functional analysis"
      mathml:
       - "<math><msup intent='hermitian-adjoint($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: 
       - "https://en.wikipedia.org/wiki/Hermitian_adjoint"
      alias:
       - adjoint-operator
    
    - concept: hermitian-conjugate
      arity: 1
      en: hermitian conjugate of $1
      property: msup
      area: "linear algebra"
      mathml:
       - "<math><msup intent='hermitian-conjugate($a1)'><mi arg='a1'>A</mi><mi>H</mi></msup></math>"
      urls: 
       - "https://mathworld.wolfram.com/HermitianConjugate.html"
       - "https://en.wikipedia.org/wiki/Conjugate_transpose"
      alias:
       - adjoint-matrix
    
    - concept: heronian-mean
      arity: 1
      en: heronian mean of $1
      property: function
      area: "means"
      mathml:
       - "<math><mrow intent='heronian-mean($a1)'><mi>H</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/HeronianMean.html"
       - "https://en.wikipedia.org/wiki/Heronian_mean"
    
    - concept: hessian
      arity: 1
      en: hessian of $1
      property: operator
      area: "differential operators"
      mathml:
       - "<math><mrow intent='hessian($a1)'><mi>H</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/Hessian.html"
       - "https://en.wikipedia.org/wiki/Hessian_matrix"
       - "https://ncatlab.org/nlab/show/Hessian"
      alias:
       - hessian-matrix
    
    - concept: heun-function
      arity: 1
      en: heun function of $1
      property: function
      area: "special functions"
      mathml:
       - "<math><mrow intent='heun-function($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: 
       - "https://en.wikipedia.org/wiki/Heun_function"
       - "https://dlmf.nist.gov/31.1"
       - "https://dlmf.nist.gov/31.4#p1"
       - "https://dlmf.nist.gov/31.3#E1"
    
    - concept: heun-polynomial
      arity: 1
      en: heun polynomial of $1
      property: function
      area: "special functions"
      mathml:
       - "<math><mrow intent='heun-polynomial($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"
       - "https://dlmf.nist.gov/31.5#p1"
       - "https://dlmf.nist.gov/31.5#E2"
    
    - concept: hexadecimal
      arity: 1
      en: hexadecimal of $1
      property: unit
      area: "arithmetic"
      mathml:
       - "<math><mrow intent='hexadecimal($a1)'><mi>hex</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
      notationb: "msub $1 hex"
      notationa: "msub $1 16"
      urls: 
       - "https://mathworld.wolfram.com/Hexadecimal.html"
       - "https://en.wikipedia.org/wiki/Hexadecimal"
    
    - concept: hilbert-symbol
      arity: 2
      en: hilbert symbol
      property: fenced
      area: "quadratic forms"
      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"
       - "https://en.wikipedia.org/wiki/Hilbert_symbol"
    
    - concept: hilbert-schmidt-norm
      arity: 1
      en: hilbert schmidt norm of $1
      property: fenced
      area: "matrix norms"
      mathml:
       - "<math><msub intent='hilbert-schmidt-norm($a1)'><mrow><mo>|</mo><mi arg='a1'>X</mi><mo>|</mo></mrow><mi>HS</mi></msub></math>"
      notation: "msub mrow | $1 | HS"
      urls: 
       - "https://mathworld.wolfram.com/Hilbert-SchmidtNorm.html"
       - "https://en.wikipedia.org/wiki/Hilbert%E2%80%93Schmidt_operator"
      alias:
    
    - concept: hit-or-miss-transform
      arity: 2
      en: $1 hit or miss transform $2
      property: infix
      area: "mathematical morphology"
      mathml:
       - "<math><mrow intent='hit-or-miss-transform($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"
    
    - concept: hodge-star-operator
      arity: 1
      en: hodge star operator of $1
      property: prefix
      area: "differential geometry"
      mathml:
       - "<math><mrow intent='hodge-star-operator($a1)'><mo>⋆</mo><mi arg='a1'>x</mi></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Hodge_dual"
       - "https://ncatlab.org/nlab/show/Hodge+star+operator"
    
    - concept: holomorph
      arity: 1
      en: holomorph of $1
      property: function
      area: "group theory"
      mathml:
       - "<math><mrow intent='holomorph($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)"
       - "https://ncatlab.org/nlab/show/holomorph"
    
    - concept: holonomy-group
      arity: 1
      en: holonomy group of $1
      property: "indexed symbol"
      area: "differential geometry"
      mathml:
       - "<math><mrow intent='holonomy-group($a1)'><mi>Hol</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/Holonomy.html"
       - "https://en.wikipedia.org/wiki/Holonomy"
       - "https://ncatlab.org/nlab/show/holonomy"
    
    - concept: home-prime
      arity: 1
      en: home prime of $1
      property: function
      area: "number theory"
      mathml:
       - "<math><mrow intent='home-prime($a1)'><mi>HP</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/HomePrime.html"
       - "https://en.wikipedia.org/wiki/Home_prime"
    
    - concept: homology-group
      arity: 1
      en: homology group of $1
      property: function
      area: "homology theory"
      mathml:
       - "<math><msub intent='homology-group($a1)'><mi>H</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/HomologyGroup.html"
       - "https://en.wikipedia.org/wiki/Singular_homology"
    
    - concept: homomorphic-product
      arity: 2
      en: $1 homomorphic product $2
      property: infix
      area: "graph theory"
      mathml:
       - "<math><mrow intent='homomorphic-product($a1,$a2)'><mi arg='a1'>X</mi><mo>⋉</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Graph_product"
    
    
    - concept: homotopy-category
      arity: 1
      en: homotopy category of $1
      property: function
      area: "category theory"
      mathml:
       - "<math><mrow intent='homotopy-category($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"
    
    - concept: horsepower-mechanical
      arity: 1
      en: $1 horsepower
      property: unit
      area: "imperial unit"
      mathml:
       - "<math><mrow intent='horsepower-mechanical($a1)'><mi arg='a1'>x</mi><mo>&#x2009;</mo><mi>hp</mi></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Horsepower"
      alias:
       - horsepower
    
    - concept: horsepower-metric
      arity: 1
      en: horsepower metric of $1
      property: unit
      area: "metric unit"
      mathml:
       - "<math><mrow intent='horsepower-metric($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>"
       - "<math><mrow intent='horsepower-metric($a1)'><mi>pk</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
       - "<math><mrow intent='horsepower-metric($a1)'><mi>ks</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
       - "<math><mrow intent='horsepower-metric($a1)'><mi>ch</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Metric_horsepower"
      alias:
       - horsepower
    
    - concept: hurwitz-zeta-function
      arity: 1
      en: hurwitz zeta function of $1
      property: function
      area: "special functions"
      mathml:
       - "<math><mrow intent='hurwitz-zeta-function($a1)'><mi>ζ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/HurwitzZetaFunction.html"
       - "https://en.wikipedia.org/wiki/Hurwitz_zeta_function"
       - "https://dlmf.nist.gov/25.11"
       - "https://dlmf.nist.gov/25.11#E1"
    
    - concept: hvat
      arity: 1
      en: hvat of $1
      property: unit
      area: "customary units"
      mathml:
       - "<math><mrow intent='hvat($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"
       - "https://en.wikipedia.org/wiki/%C4%8Cetvorni_hvat"
       - "https://en.wikipedia.org/wiki/Hvat"
       - "https://en.wikipedia.org/wiki/Kvadratni_hvat"
    
    - concept: hydrated-compound
      arity: 2
      en: $1 hydrated compound $2
      property: infix
      area: "chemistry"
      mathml:
       - "<math><mrow intent='hydrated-compound($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: 
       - "https://en.wikipedia.org/wiki/Hydrate"
       - "https://en.wikipedia.org/wiki/Cobalt(II)_chloride"
       - "https://www.youtube.com/watch?v=PV_3WBTDyJc"
    
    - concept: hyperbolic-cosine-integral
      arity: 1
      en: hyperbolic cosine integral of $1
      property: function
      area: "special functions"
      mathml:
       - "<math><mrow intent='hyperbolic-cosine-integral($a1)'><mi>Chi</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/HyperbolicCosineIntegral.html"
       - "https://dlmf.nist.gov/6.2#E16"
    
    - concept: hyperbolic-plane
      arity: 0
      en: hyperbolic plane
      property: symbol
      area: "non-euclidean geometry"
      mathml:
       - "<math><msup intent='hyperbolic-plane'><mi>ℍ</mi><mn>2</mn></msup></math>"
      urls: 
       - "https://mathworld.wolfram.com/HyperbolicPlane.html"
       - "https://ncatlab.org/nlab/show/hyperbolic+plane"
    
    - concept: hyperbolic-sine-integral
      arity: 1
      en: hyperbolic sine integral of $1
      property: function
      area: "special functions"
      mathml:
       - "<math><mrow intent='hyperbolic-sine-integral($a1)'><mi>Shi</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/HyperbolicSineIntegral.html"
       - "https://dlmf.nist.gov/6.2#E15"
    
    - concept: hyperbolic-space
      arity: 1
      en: hyperbolic space
      property: symbol
      area: "non-euclidean geometry"
      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"
       - "https://en.wikipedia.org/wiki/Hyperbolic_space"
    
    - concept: hyperbolic-umbilic-canonical-integral-function
      arity: 1
      en: hyperbolic umbilic canonical integral function of $1
      property: function
      area: "special functions"
      mathml:
       - "<math><mrow intent='hyperbolic-umbilic-canonical-integral-function($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"
       - "https://dlmf.nist.gov/36.3#i"
       - "https://dlmf.nist.gov/36.3#ii"
    
    - concept: hyperdeterminant
      arity: 1
      en: hyperdeterminant of $1
      property: "function, fenced"
      area: "multilinear algebra"
      mathml:
       - "<math><mrow intent='hyperdeterminant($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: 
       - "https://mathworld.wolfram.com/Hyperdeterminant.html"
       - "https://en.wikipedia.org/wiki/Hyperdeterminant"
       - "https://ncatlab.org/nlab/show/hyperdeterminant"
    
    - concept: hypertorus
      arity: 1
      en: $1<i>th</i> hypertorus
      property: "indexed symbol"
      area: "topology"
      mathml:
       - "<math><msup intent='hypertorus($a1)'><mi>T</mi><mi arg='a1'>n</mi></msup></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Torus#n-dimensional_torus"
      alias:
       - n-torus
       - n-dimensional-torus
    
    - concept: identity-element
      arity: 0
      en: identity element
      property: symbol
      area: "group theory"
      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>"
      notationa: "mn 1"
      urls: 
       - "https://mathworld.wolfram.com/IdentityElement.html"
       - "https://en.wikipedia.org/wiki/Identity_element"
       - "https://ncatlab.org/nlab/show/identity+element"
      alias:
       - identity
       - two-sided-identity
    
    - concept: identity-function
      arity: 1
      en: identity function of $1
      property: function
      area: "algebra"
      mathml:
       - "<math><mrow intent='identity-function($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>"
      urls: 
       - "https://mathworld.wolfram.com/IdentityFunction.html"
       - "https://en.wikipedia.org/wiki/Identity_function"
       - "https://ncatlab.org/nlab/show/identity+function"
      alias:
       - identity-map
       - identity-relation
       - identity-transformation
    
    - concept: identity-functor
      arity: 1
      en: identity functor of $1
      property: function
      area: "category theory"
      mathml:
       - "<math><msub intent='identity-functor($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>"
      urls: 
       - "https://ncatlab.org/nlab/show/identity+functor"
       - "https://en.wikipedia.org/wiki/Functor"
    
    - concept: identity-matrix
      arity: 0
      en: identity matrix
      property: symbol
      area: "linear algebra"
      mathml:
       - "<math><mi intent='identity-matrix'>I</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/IdentityMatrix.html"
       - "https://en.wikipedia.org/wiki/Identity_matrix"
      alias:
       - unit-matrix
    
    - concept: image
      arity: 1
      en: image $1
      property: mixfix
      area: "set theory"
      mathml:
       - "<math><mrow intent='image($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>"
      urls: 
       - "https://mathworld.wolfram.com/Image.html"
       - "https://en.wikipedia.org/wiki/Image_(mathematics)"
       - "https://en.wikipedia.org/wiki/Range_(mathematics)"
       - "https://en.wikipedia.org/wiki/Image_(category_theory)"
       - "https://en.wikipedia.org/wiki/Image"
       - "https://ncatlab.org/nlab/show/image"
    
    - concept: incenter
      arity: 0
      en: incenter
      property: symbol
      area: "geometry"
      mathml:
       - "<math><mi intent='incenter'>I</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/Incenter.html"
       - "https://en.wikipedia.org/wiki/Incircle_and_excircles_of_a_triangle"
       - "https://en.wikipedia.org/wiki/Gergonne_point"
       - "https://en.wikipedia.org/wiki/Incentre"
    
    - concept: incidence-relation
      arity: 2
      en: $1 incidence relation $2
      property: infix
      area: "projective geometry"
      mathml:
       - "<math><mrow intent='incidence-relation($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)"
       - "https://en.wikipedia.org/wiki/Incidence_(epidemiology)"
       - "https://www.encyclopediaofmath.org/index.php/Incidence"
    
    - concept: incidence-structure
      arity: 3
      en: incidence structure of $1, $2 and $3
      property: fenced
      area: "incidence geometry"
      mathml:
       - "<math><mrow intent='incidence-structure($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"
    
    - concept: inclusion-map
      arity: 1
      en: inclusion map of $1
      property: function
      area: "set theory"
      mathml:
       - "<math><mrow intent='inclusion-map($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"
      alias:
       - inclusion-function
       - insertion
       - canonical-injection
    
    - concept: incomparability
      arity: 2
      en: $1 incomparable to $2
      property: infix
      area: "order theory"
      mathml:
       - "<math><mrow intent='incomparability($a1,$a2)'><mi arg='a1'>X</mi><mo>⪋̸</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Comparability"
      alias:
       - incomparable
    
    - concept: incomplete-beta-function
      arity: 1
      en: incomplete beta function of $1
      property: function
      area: "special functions"
      mathml:
       - "<math><mrow intent='incomplete-beta-function($a1)'><mi>B</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/IncompleteBetaFunction.html"
       - "https://dlmf.nist.gov/8.17"
       - "https://dlmf.nist.gov/8.17#E1"
       - "https://dlmf.nist.gov/8.17#E2"
    
    - concept: incomplete-elliptic-integral-of-the-first-kind
      arity: 1
      en: incomplete elliptic integral of the first kind of $1
      property: function
      area: "elliptic functions"
      mathml:
       - "<math><mrow intent='incomplete-elliptic-integral-of-the-first-kind($a1)'><mi>F</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/EllipticIntegral.html"
       - "https://en.wikipedia.org/wiki/Elliptic_integral"
       - "https://www.encyclopediaofmath.org/index.php/Elliptic_integral"
    
    - concept: incomplete-elliptic-integral-of-the-second-kind
      arity: 1
      en: incomplete elliptic integral of the second kind of $1
      property: function
      area: "elliptic functions"
      mathml:
       - "<math><mrow intent='incomplete-elliptic-integral-of-the-second-kind($a1)'><mi>E</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/EllipticIntegral.html"
       - "https://en.wikipedia.org/wiki/Elliptic_integral"
       - "https://www.encyclopediaofmath.org/index.php/Elliptic_integral"
    
    - concept: incomplete-gamma-function
      arity: 1
      en: incomplete gamma function of $1
      property: function
      area: "special functions"
      mathml:
       - "<math><mrow intent='incomplete-gamma-function($a1)'><mi>Γ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/IncompleteGammaFunction.html"
       - "https://en.wikipedia.org/wiki/Incomplete_gamma_function"
       - "https://en.wikipedia.org/wiki/Regularized_Gamma_function"
       - "https://dlmf.nist.gov/8#PT2"
       - "https://dlmf.nist.gov/8.2#E2"
       - "https://dlmf.nist.gov/8.2#E1"
       - "https://dlmf.nist.gov/8.2#E6"
    
    - concept: increase
      arity: 1
      en: increase of $1
      property: postfix
      area: "physics"
      mathml:
       - "<math><mrow intent='increase($a1)'><mi arg='a1'>x</mi><mo>↑</mo></mrow></math>"
      urls: 
       - "https://youtu.be/HZ7a9YkF204?t=4606"
    
    - concept: increase-tends-to
      arity: 2
      en: $1 increase tends to $2
      property: infix
      area: "calculus"
      mathml:
       - "<math><mrow intent='increase-tends-to($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"
       - "http://pi.math.cornell.edu/~web6720/MATH%206710%20notes.pdf"
    
    - concept: independent
      arity: 2
      en: $1 independent $2
      property: infix
      area: "probability theory"
      mathml:
       - "<math><mrow intent='independent($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: 
       - "https://en.wikipedia.org/wiki/Independence_(probability_theory)"
       - "https://en.wikipedia.org/wiki/Independence_(mathematical_logic)"
       - "https://www.encyclopediaofmath.org/index.php/Independence"
    
    - concept: index-of-subgroup
      arity: 2
      en: index of subgroup
      property: fenced
      area: "group theory"
      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>"
      urls: 
       - "https://en.wikipedia.org/wiki/Index_of_a_subgroup"
    
    - concept: index-of-lie-algebra
      arity: 1
      en: index of lie algebra of $1
      property: function
      area: "lie algebra"
      mathml:
       - "<math><mrow intent='index-of-lie-algebra($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"
    
    - concept: infimum
      arity: 1
      en: infimum of $1
      property: "function, largeop"
      area: "order theory"
      mathml:
       - "<math><mrow intent='infimum($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: 
       - "https://mathworld.wolfram.com/Infimum.html"
       - "https://en.wikipedia.org/wiki/Infimum_and_supremum"
      alias:
       - meet
       - greatest-lower-bound
    
    - concept: infimum-limit
      arity: 1
      en: infimum limit of $1
      property: indexed
      area: "limits"
      mathml:
       - "<math><mrow intent='infimum-limit($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: 
       - "https://mathworld.wolfram.com/InfimumLimit.html"
       - "https://en.wikipedia.org/wiki/Limit_superior_and_limit_inferior"
      alias:
       - limit-inferior
       - limit-infimum
       - liminf
       - inferior-limit
       - lower-limit
       - inner-limit
    
    - concept: infinite-product
      arity: 1
      en: infinite product of $1
      property: indexed
      area: "mathematical analysis"
      mathml:
       - "<math><mrow intent='infinite-product($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"
       - "https://en.wikipedia.org/wiki/Infinite_product"
       - "https://www.encyclopediaofmath.org/index.php/Infinite_product"
    
    - concept: infinitely-many-concurrently-active-copies
      arity: 1
      en: infinitely many concurrently active copies of $1
      property: prefix
      area: "formal languages"
      mathml:
       - "<math><mrow intent='infinitely-many-concurrently-active-copies($a1)'><mo>!</mo><mi arg='a1'>x</mi></mrow></math>"
      urls: 
       - "https://arxiv.org/pdf/0903.3513.pdf"
    
    - concept: injection
      arity: 3
      en: injection $1, from $2 to $3
      property: mixfix, 
      area: "set theory"
      mathml:
       - "<math><mrow intent='injection($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"
    
    - concept: inner-automorphism-group
      arity: 1
      en: inner automorphism group of $1
      property: function
      area: "abstract algebra"
      mathml:
       - "<math><mrow intent='inner-automorphism-group($a1)'><mi>Inn</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/InnerAutomorphism.html"
       - "https://en.wikipedia.org/wiki/Inner_automorphism"
       - "https://ncatlab.org/nlab/show/inner+automorphism"
       - "https://www.encyclopediaofmath.org/index.php/Inner_automorphism"
      alias:
       - inner-automorphism
    
    - concept: inner-jordan-measure
      arity: 1
      en: inner jordan measure of $1
      property: function
      area: "measure theory"
      mathml:
       - "<math><mrow intent='inner-jordan-measure($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"
       - "https://en.wikipedia.org/wiki/Jordan_measure"
       - "https://www.encyclopediaofmath.org/index.php/Jordan_measure"
    
    - concept: inner-product
      arity: 2
      en: $1 inner product $2
      property: infix, fenced
      area: "linear algebra"
      mathml:
       - "<math><mrow intent='inner-product($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: 
       - "https://mathworld.wolfram.com/InnerProduct.html"
       - "https://en.wikipedia.org/wiki/Dot_product"
       - "https://en.wikipedia.org/wiki/Inner_product_space"
       - "https://www.encyclopediaofmath.org/index.php/Inner_product"
       - "https://mathoverflow.net/a/366118"
    
    - concept: instantaneous-activity
      arity: 2
      en: instantaneous activity of $1 at $2
      property: mixfix
      area: "chemistry"
      mathml:
       - "<math><msub intent='instantaneous-activity($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"
    
    - concept: integer-part
      arity: 1
      en: integer part of $1
      property: "function, fenced"
      area: "number theory"
      mathml:
       - "<math><mrow intent='integer-part($a1)'><mi>int</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
      notationa: "[ $1 ]"
      urls: 
       - "https://mathworld.wolfram.com/IntegerPart.html"
       - "https://en.wikipedia.org/wiki/Floor_and_ceiling_functions"
    
    - concept: interior
      arity: 1
      en: interior of $1
      property: msup
      area: "topology"
      mathml:
       - "<math><msup intent='interior($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: 
       - "https://mathworld.wolfram.com/Interior.html"
       - "https://en.wikipedia.org/wiki/Interior_(topology)"
       - "https://ncatlab.org/nlab/show/interior"
       - "https://www.encyclopediaofmath.org/index.php/Interior"
    
    - concept: interior-product
      arity: 2
      en: interior product of $1 $2
      property: "infix, indexed function"
      area: "differential forms"
      mathml:
       - "<math><mrow intent='interior-product($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: 
       - "https://mathworld.wolfram.com/InteriorProduct.html"
       - "https://en.wikipedia.org/wiki/Interior_product"
    
    - concept: intersection-number
      arity: 2
      en: $1 intersection number $2
      property: infix
      area: "algebraic geometry"
      mathml:
       - "<math><mrow intent='intersection-number($a1,$a2)'><mi arg='a1'>X</mi><mo>⋅</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Intersection_number"
    
    - concept: inverse-image
      arity: 2
      en: inverse image $1 $2
      property: mixfix
      area: "set theory"
      mathml:
       - "<math><mrow intent='inverse-image($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)"
       - "https://ncatlab.org/nlab/show/inverse+image"
      alias:
       - preimage
    
    - concept: inverse-limit
      arity: 1
      en: inverse limit of $1
      property: prefix
      area: "category theory"
      mathml:
       - "<math><mrow intent='inverse-limit($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"
       - "https://en.wikipedia.org/wiki/Inverse_limit"
       - "https://ncatlab.org/nlab/show/inverse+limit"
      alias:
       - projective limit
    
    - concept: inverse-moment-of-function
      arity: 2
      en: $2<i>th</i> inverse moment of function $1
      property: "msub, mixfix"
      area: "mathematics"
      mathml:
       - "<math><mrow intent='inverse-moment-of-function($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)"
      alias:
       - inverse-moment
    
    - concept: inverse-tangent-integral
      arity: 1
      en: inverse tangent integral of $1
      property: "indexed function"
      area: "special functions"
      mathml:
       - "<math><msub intent='inverse-tangent-integral($a1)'><mi>Ti</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Polylogarithm"
    
    - concept: inverse-wishart-distribution
      arity: 0
      en: inverse wishart distribution
      property: symbol
      area: "probability theory"
      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"
       - "https://en.wikipedia.org/wiki/Wishart_distribution"
       - "https://www.encyclopediaofmath.org/index.php/Wishart_distribution"
    
    - concept: ionic-charge
      arity: 2
      en: ionic charge
      property: msup
      area: "chemistry"
      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"
    
    - concept: isogonal-conjugate
      arity: 1
      en: isogonal conjugate of $1
      property: msup
      area: "geometry"
      mathml:
       - "<math><msup intent='isogonal-conjugate($a1)'><mi arg='a1'>X</mi><mn>-1</mn></msup></math>"
      urls: 
       - "https://mathworld.wolfram.com/IsogonalConjugate.html"
       - "https://en.wikipedia.org/wiki/Isogonal_conjugate"
    
    - concept: isomorphism
      arity: 2
      en: $1 isomorphism $2
      property: infix
      area: "set theory"
      mathml:
       - "<math><mrow intent='isomorphism($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: 
       - "https://mathworld.wolfram.com/Isomorphism.html"
       - "https://en.wikipedia.org/wiki/Isomorphism"
       - "https://ncatlab.org/nlab/show/isomorphism"
       - "https://www.encyclopediaofmath.org/index.php/Isomorphism"
      alias:
       - natural-isomorphism
    
    - concept: isotropy-group
      arity: 2
      en: isotropy group
      property: msub
      area: "group theory"
      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"
       - "https://www.encyclopediaofmath.org/index.php/Isotropy_group"
      alias:
       - little-group
       - stabilizer-subgroup
    
    - concept: iverson-bracket
      arity: 1
      en: iverson bracket of $1
      property: fenced
      area: "set theory"
      mathml:
       - "<math><mrow intent='iverson-bracket($a1)'><mo>[</mo><mi arg='a1'>P</mi><mo>]</mo></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Iverson_bracket"
    
    - concept: j-invariant
      arity: 1
      en: j invariant of $1
      property: function
      area: "number theory"
      mathml:
       - "<math><mrow intent='j-invariant($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"
       - "https://ncatlab.org/nlab/show/j-invariant"
    
    - concept: jacobi-matrix
      arity: 1
      en: jacobi matrix of $1
      property: function
      area: "operator theory"
      mathml:
       - "<math><mrow intent='jacobi-matrix($a1)'><mi>J</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/JacobiMatrix.html"
       - "https://en.wikipedia.org/wiki/Jacobi_operator"
       - "https://www.encyclopediaofmath.org/index.php/Jacobi_matrix"
      alias:
       - jacobi-operator
    
    - concept: jacobi-polynomial
      arity: 2
      en: $1<i>th</i>jacobi polynomial of $2
      property: function
      area: "orthogonal polynomials"
      mathml:
       - "<math><mrow intent='jacobi-polynomial($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: 
       - "https://mathworld.wolfram.com/JacobiPolynomial.html"
       - "https://en.wikipedia.org/wiki/Heckman%E2%80%93Opdam_polynomials"
       - "https://en.wikipedia.org/wiki/Jacobi_polynomials"
       - "https://dlmf.nist.gov/18.3"
       - "https://dlmf.nist.gov/18.3#T1.t1.r3"
       - "https://www.encyclopediaofmath.org/index.php/Jacobi_polynomials"
    
    - concept: jacobi-symbol
      arity: 2
      en: jacobi symbol
      property: mixfix
      area: "number theory"
      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"
       - "https://en.wikipedia.org/wiki/Jacobi_symbol"
       - "https://dlmf.nist.gov/27.9#p3"
       - "https://www.encyclopediaofmath.org/index.php/Jacobi_symbol"
    
    - concept: jacobi-theta-function
      arity: 1
      en: jacobi theta function of $1
      property: function
      area: "special-functions"
      mathml:
       - "<math><mrow intent='jacobi-theta-function($a1)'><mi>ϑ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/JacobiThetaFunctions.html"
       - "https://en.wikipedia.org/wiki/Jacobi_theta_functions_(notational_variations)"
    
    - concept: jacobi-zeta-function
      arity: 2
      en: jacobi zeta function
      property: function
      area: "special-functions"
      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"
       - "https://en.wikipedia.org/wiki/Jacobi_zeta_function"
       - "https://dlmf.nist.gov/22.16#iii"
       - "https://dlmf.nist.gov/22.16#E32"
    
    - concept: jacobian-elliptic-function
      arity: 1
      en: jacobian elliptic function of $1
      property: function
      area: "special-functions"
      mathml:
       - "<math><mrow intent='jacobian-elliptic-function($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>"
       - "<math><mrow intent='jacobian-elliptic-function($a1)'><mi>sd</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
       - "<math><mrow intent='jacobian-elliptic-function($a1)'><mi>cd</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
       - "<math><mrow intent='jacobian-elliptic-function($a1)'><mi>sc</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
      urls: 
       - "https://dlmf.nist.gov/22.2"
       - "https://dlmf.nist.gov/22.2#E5"
       - "https://dlmf.nist.gov/22.2#E6"
       - "https://dlmf.nist.gov/22.2#E7"
       - "https://dlmf.nist.gov/22.2#E8"
       - "https://dlmf.nist.gov/22.2#E4"
       - "https://dlmf.nist.gov/22.2#E9"
    
    - concept: jacobson-radical
      arity: 1
      en: jacobson radical of $1
      property: function
      area: "ring theory"
      mathml:
       - "<math><mrow intent='jacobson-radical($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: 
       - "https://mathworld.wolfram.com/JacobsonRadical.html"
       - "https://en.wikipedia.org/wiki/Jacobson_radical"
       - "https://ncatlab.org/nlab/show/Jacobson+radical"
       - "https://www.encyclopediaofmath.org/index.php/Jacobson_radical"
    
    - concept: jacobsthal-number
      arity: 0
      en: jacobsthal number
      property: symbol
      area: "number theory"
      mathml:
       - "<math><mi intent='jacobsthal-number'>J</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/JacobsthalNumber.html"
       - "https://en.wikipedia.org/wiki/Jacobsthal_number"
    
    - concept: janko-group
      arity: 0
      en: janko group
      property: symbol
      area: "group theory"
      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>"
       - "<math><msub intent='janko-group'><mi>J</mi><mn>4</mn></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/JankoGroups.html"
       - "https://en.wikipedia.org/wiki/Janko_group"
    
    - concept: jet
      arity: 3
      en: $1 jet of $3 at $2
      property: function
      area: "differential geometry"
      mathml:
       - "<math><mrow intent='jet($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)"
       - "https://www.encyclopediaofmath.org/index.php/Jet"
    
    - concept: join
      arity: 1
      en: join of $1
      property: indexed
      area: "measure theory"
      mathml:
       - "<math><mrow intent='join($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"
       - "https://en.wikipedia.org/wiki/Join_(sigma_algebra)"
       - "https://en.wikipedia.org/wiki/Join_(topology)"
       - "https://ncatlab.org/nlab/show/join"
       - "https://www.encyclopediaofmath.org/index.php/Join"
    
    - concept: jone-polynomial
      arity: 1
      en: jone polynomial of $1
      property: function
      area: "knot theory"
      mathml:
       - "<math><mrow intent='jone-polynomial($a1)'><mi>V</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/JonesPolynomial.html"
       - "https://en.wikipedia.org/wiki/Jones_polynomial"
       - "https://ncatlab.org/nlab/show/Jones+polynomial"
    
    - concept: jordan-block
      arity: 2
      en: jordan block
      property: "indexed symbol"
      area: "linear algebra"
      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"
       - "https://en.wikipedia.org/wiki/Jordan_matrix"
      alias:
       - jordan-matrix
    
    - concept: jordan-measure
      arity: 1
      en: jordan measure of $1
      property: function
      area: "measure theory"
      mathml:
       - "<math><mrow intent='jordan-measure($a1)'><mi>m</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/JordanMeasure.html"
       - "https://en.wikipedia.org/wiki/Jordan_measure"
       - "https://www.encyclopediaofmath.org/index.php/Jordan_measure"
    
    - concept: jordan-totient-function
      arity: 1
      en: jordan totient function of $1
      property: function
      area: "number theory"
      mathml:
       - "<math><msub intent='jordan-totient-function($a1)'><mi>J</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Jordan%27s_totient_function"
    
    - concept: julia-set
      arity: 1
      en: julia set of $1
      property: function
      area: "complex dynamics"
      mathml:
       - "<math><mrow intent='julia-set($a1)'><mi>J</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/JuliaSet.html"
       - "https://en.wikipedia.org/wiki/Julia_set"
       - "https://www.encyclopediaofmath.org/index.php/Julia_set"
    
    - concept: kaprekar-constant
      arity: 0
      en: kaprekar constant
      property: symbol
      area: "number theory"
      mathml:
       - "<math><mn intent='kaprekar-constant'>6174</mn></math>"
      urls: 
       - "https://mathworld.wolfram.com/KaprekarConstant.html"
       - "https://en.wikipedia.org/wiki/6174_(number)"
      alias:
       - kaprekar-number
    
    - concept: kauffman-bracket
      arity: 1
      en: kauffman bracket of $1
      property: fenced
      area: "knot theory"
      mathml:
       - "<math><mrow intent='kauffman-bracket($a1)'><mo>⟨</mo><mi arg='a1'>x</mi><mo>⟩</mo></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Bracket_polynomial"
      alias:
       - bracket-polynomial
    
    - concept: kelvin-function
      arity: 1
      en: $1<i>th</i> order kelvin function 
      property: function
      area: "special functions"
      mathml:
       - "<math><mrow><msub intent='kelvin-function($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: 
       - "https://mathworld.wolfram.com/KelvinFunctions.html"
       - "https://en.wikipedia.org/wiki/Kelvin_functions"
       - "https://dlmf.nist.gov/10#PT5"
       - "https://dlmf.nist.gov/10.61#E1"
       - "https://dlmf.nist.gov/10.61#E1"
       - "https://dlmf.nist.gov/10.61#E2"
       - "https://dlmf.nist.gov/10.61#E2"
       - "https://www.encyclopediaofmath.org/index.php/Kelvin_functions"
    
    - concept: kernel
      arity: 1
      en: kernel of $1
      property: function
      area: "linear algebra"
      mathml:
       - "<math><mrow intent='kernel($a1)'><mi>ker</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/Kernel.html"
       - "https://en.wikipedia.org/wiki/Kernel_(algebra)"
       - "https://en.wikipedia.org/wiki/Kernel_(set_theory)"
       - "https://en.wikipedia.org/wiki/Sunflower_(mathematics)"
       - "https://en.wikipedia.org/wiki/Kernel_(linear_algebra)"
       - "https://en.wikipedia.org/wiki/Kernel_(category_theory)"
       - "https://en.wikipedia.org/wiki/Kernel_(statistics)"
       - "https://en.wikipedia.org/wiki/Covariance_function"
       - "https://ncatlab.org/nlab/show/kernel"
      alias:
       - nullspace
       - null-space
    
    - concept: khinchin-constant
      arity: 0
      en: khinchin constant
      property: constant
      area: "continued fractions"
      mathml:
       - "<math><mi intent='khinchin-constant'>K</mi></math>"
      notationa: "msub K 0"
      urls: 
       - "https://mathworld.wolfram.com/KhinchinsConstant.html"
       - "https://en.wikipedia.org/wiki/Khinchin%27s_constant"
    
    - concept: killing-form
      arity: 1
      en: killing form of $1
      property: function
      area: "lie algebra"
      mathml:
       - "<math><mrow intent='killing-form($a1)'><mi>B</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/KillingForm.html"
       - "https://en.wikipedia.org/wiki/Killing_form"
       - "https://ncatlab.org/nlab/show/Killing+form"
       - "https://www.encyclopediaofmath.org/index.php/Killing_form"
    
    - concept: kleene-star
      arity: 1
      en: kleene star of $1
      property: msup
      area: "formal languages"
      mathml:
       - "<math><msup intent='kleene-star($a1)'><mi arg='a1'>x</mi><mo>*</mo></msup></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Kleene_star"
    
    - concept: kleene-plus
      arity: 1
      en: kleene plus of $1
      property: msup
      area: "formal languages"
      mathml:
       - "<math><msup intent='kleene-plus($a1)'><mi arg='a1'>x</mi><mo>+</mo></msup></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Kleene_star"
    
    - concept: klein-four-group
      arity: 0
      en: klein four group
      property: symbol
      area: "group theory"
      mathml:
       - "<math><mi intent='klein-four-group'>V</mi></math>"
      notationa: "msub K 4"
      urls: 
       - "https://mathworld.wolfram.com/KleinFour-Group.html"
       - "https://en.wikipedia.org/wiki/Klein_four-group"
    
    - concept: kloosterman-sum
      arity: 1
      en: kloosterman sum of $1
      property: function
      area: "analytic number theory"
      mathml:
       - "<math><mrow intent='kloosterman-sum($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: 
       - "https://mathworld.wolfram.com/KloostermansSum.html"
       - "https://en.wikipedia.org/wiki/Kloosterman_sum"
    
    - concept: kneser-graph
      arity: 2
      en: kneser graph $1 $2
      property: "indexed symbol"
      area: "graph theory"
      mathml:
       - "<math><mrow intent='kneser-graph($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: 
       - "https://mathworld.wolfram.com/KneserGraph.html"
       - "https://en.wikipedia.org/wiki/Kneser_graph"
    
    - concept: knodel-number
      arity: 1
      en: knodel number of $1
      property: "indexed symbol"
      area: "number theory"
      mathml:
       - "<math><mrow intent='knodel-number($a1)'><mi>K</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/KnoedelNumbers.html"
       - "https://en.wikipedia.org/wiki/Kn%C3%B6del_number"
    
    - concept: kodaira-dimension
      arity: 1
      en: kodaira dimension of $1
      property: function
      area: "algebraic geometry"
      mathml:
       - "<math><mrow intent='kodaira-dimension($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"
       - "https://www.encyclopediaofmath.org/index.php/Kodaira_dimension"
    
    - concept: kolmogorov-complexity
      arity: 1
      en: kolmogorov complexity of $1
      property: function
      area: "information theory"
      mathml:
       - "<math><mrow intent='kolmogorov-complexity($a1)'><mi>K</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/KolmogorovComplexity.html"
       - "https://en.wikipedia.org/wiki/Kolmogorov_complexity"
    
    - concept: kolmogorov-space
      arity: 0
      en: kolmogorov space
      property: constant
      area: "topology"
      mathml:
       - "<math><msub intent='kolmogorov-space'><mi>T</mi><mn>0</mn></msub></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Separation_axiom#Main_definitions"
    
    - concept: kontsevich-integral
      arity: 1
      en: kontsevich integral of $1
      property: function
      area: "knot theory"
      mathml:
       - "<math><mrow intent='kontsevich-integral($a1)'><mi>Z</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/KontsevichIntegral.html"
       - "https://en.wikipedia.org/wiki/Kontsevich_invariant"
       - "https://ncatlab.org/nlab/show/Kontsevich+integral"
       - "https://www.encyclopediaofmath.org/index.php/Kontsevich_integral"
    
    - concept: krawtchouk-polynomial
      arity: 1
      en: krawtchouk polynomial of $1
      property: function
      area: "orthogonal polynomials"
      mathml:
       - "<math><msub intent='krawtchouk-polynomial($a1)'><mi>K</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/KrawtchoukPolynomial.html"
       - "https://en.wikipedia.org/wiki/Kravchuk_polynomials"
       - "https://dlmf.nist.gov/18.19#T1.t1.r6"
       - "https://www.encyclopediaofmath.org/index.php/Krawtchouk_polynomials"
    
    - concept: kripke-frame
      arity: 2
      en: kripke frame
      property: fenced
      area: "modal logic"
      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"
    
    - concept: kronecker-delta
      arity: 2
      en: kronecker delta
      property: "indexed function"
      area: "special functions"
      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"
       - "https://en.wikipedia.org/wiki/Kronecker_delta"
       - "https://dlmf.nist.gov/front/introduction#Sx4.p1.t1.r4"
       - "https://ncatlab.org/nlab/show/Kronecker+delta"
    
    - concept: kronecker-product
      arity: 2
      en: $1 kronecker product $2
      property: infix
      area: "matrix theory"
      mathml:
       - "<math><mrow intent='kronecker-product($a1,$a2)'><mi arg='a1'>X</mi><mo>⊗</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/KroneckerProduct.html"
       - "https://en.wikipedia.org/wiki/Khatri-Rao_product"
       - "https://en.wikipedia.org/wiki/Kronecker_product"
       - "https://en.wikipedia.org/wiki/Tracy-Singh_product"
       - "https://www.encyclopediaofmath.org/index.php/Kronecker_product"
    
    - concept: kronecker-symbol
      arity: 2
      en: kronecker symbol
      property: fenced, fenced stacked
      area: "number theory"
      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: 
       - "https://mathworld.wolfram.com/KroneckerSymbol.html"
       - "https://en.wikipedia.org/wiki/Kronecker_symbol"
       - "https://www.encyclopediaofmath.org/index.php/Kronecker_symbol"
    
    - concept: krull-dimension
      arity: 1
      en: krull dimension of $1
      property: function
      area: "commutative algebra"
      mathml:
       - "<math><mrow intent='krull-dimension($a1)'><mi>dim</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/KrullDimension.html"
       - "https://en.wikipedia.org/wiki/Krull_dimension"
       - "https://en.wikipedia.org/wiki/Height_(ring_theory)"
    
    - concept: kulkarni-nomizu-product
      arity: 2
      en: kulkarni nomizu product of $1 and $2
      property: embellished infix
      area: "differential geometry"
      mathml:
       - "<math><mrow intent='kulkarni-nomizu-product($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"
    
    - concept: kullback-leibler-distance
      arity: 1
      en: kullback leibler distance of $1
      property: function
      area: "mathematical statistics"
      mathml:
       - "<math><mrow intent='kullback-leibler-distance($a1)'><mi>KL</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
      notationa: "msub D KL"
      urls: 
       - "http://users.monash.edu/~lloyd/tildeMML/KL/"
       - "https://en.wikipedia.org/wiki/Kullback%E2%80%93Leibler_divergence"
      alias:
       - kl-distance
       - kl-divergence
       - kullback-leibler-divergence
       - relative-entropy
    
    - concept: lagrange-bracket
      arity: 4
      en: "lagrange bracket of $1, $2, canonical coordinates $3, $4"
      property: indexed fenced
      area: "classical mechanics"
      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"
       - "https://en.wikipedia.org/wiki/Lagrange_bracket"
       - "https://www.encyclopediaofmath.org/index.php/Lagrange_bracket"
    
    - concept: lagrange-multiplier
      arity: 0
      en: lagrange multiplier
      property: symbol
      area: "mathematical optimization"
      mathml:
       - "<math><mi intent='lagrange-multiplier'>λ</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/LagrangeMultiplier.html"
       - "https://en.wikipedia.org/wiki/Lagrange_multiplier"
       - "https://ncatlab.org/nlab/show/Lagrange+multiplier"
       - "https://www.encyclopediaofmath.org/index.php/Lagrange_multipliers"
      alias:
       - lagrangian
    
    - concept: lagrange-point
      arity: 0
      en: lagrange point
      property: symbol
      area: "celestial mechanics"
      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>"
       - "<math><msub intent='lagrange-point'><mi>L</mi><mn>4</mn></msub></math>"
       - "<math><msub intent='lagrange-point'><mi>L</mi><mn>5</mn></msub></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Lagrange_point"
      alias:
       - lagrangian-point
       - l-point
       - libration-point
    
    - concept: laguerre-polynomial
      arity: 1
      en: laguerre polynomial of $1
      property: "indexed function"
      area: "orthogonal polynomials"
      mathml:
       - "<math><mrow intent='laguerre-polynomial($a1)'><mi>L</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/LaguerrePolynomial.html"
       - "https://en.wikipedia.org/wiki/Laguerre_polynomials"
       - "https://dlmf.nist.gov/18.3"
       - "https://dlmf.nist.gov/18.1#I1.ix7.p1"
       - "https://dlmf.nist.gov/18.3#T1.t1.r27"
       - "https://www.encyclopediaofmath.org/index.php/Laguerre_polynomials"
    
    - concept: landau-constant
      arity: 0
      en: landau constant
      property: constant
      area: "complex analysis"
      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>"
      urls: 
       - "https://mathworld.wolfram.com/LandauConstant.html"
       - "https://en.wikipedia.org/wiki/Landau%27s_constants"
    
    - concept: laplace-operator
      arity: 1
      en: laplace operator of $1
      property: "embellished operator"
      area: "differential operators"
      mathml:
       - "<math><mrow intent='laplace-operator($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>"
      urls: 
       - "https://en.wikipedia.org/wiki/Laplace_operator"
       - "https://ncatlab.org/nlab/show/Laplace+operator"
       - "https://www.encyclopediaofmath.org/index.php/Laplace_operator"
    
    - concept: laplace-transform
      arity: 1
      en: laplace transform of $1
      property: operator
      area: "integral transforms"
      mathml:
       - "<math><mrow intent='laplace-transform($a1)'><mi>ℒ⁡</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/LaplaceTransform.html"
       - "https://en.wikipedia.org/wiki/Laplace_transform"
       - "https://dlmf.nist.gov/1.14#E17"
       - "https://www.encyclopediaofmath.org/index.php/Laplace_transform"
    
    - concept: laplacian-matrix
      arity: 0
      en: laplacian matrix
      property: symbol
      area: "graph theory"
      mathml:
       - "<math><mi intent='laplacian-matrix'>L</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/LaplacianMatrix.html"
       - "https://en.wikipedia.org/wiki/Laplacian_matrix"
    
    - concept: latin-rectangle
      arity: 1
      en: latin rectangle $1
      property: mtable
      area: "combinatorial mathematics"
      mathml:
       - "<math><mrow intent='latin-rectangle($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: 
       - "https://mathworld.wolfram.com/LatinRectangle.html"
       - "https://en.wikipedia.org/wiki/Latin_rectangle"
       - "https://www.encyclopediaofmath.org/index.php/Latin_rectangle"
    
    - concept: latin-square
      arity: 1
      en: latin square $1
      property: mtable
      area: "combinatorial mathematics"
      mathml:
       - "<math><mrow intent='latin-square($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"
       - "https://en.wikipedia.org/wiki/Latin_square"
       - "https://en.wikipedia.org/wiki/Small_Latin_squares_and_quasigroups"
       - "https://ncatlab.org/nlab/show/Latin+square"
       - "https://www.encyclopediaofmath.org/index.php/Latin_square"
    
    - concept: least-prime-factor
      arity: 1
      en: least prime factor of $1
      property: function
      area: "number theory"
      mathml:
       - "<math><mrow intent='least-prime-factor($a1)'><mi>lpf</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/LeastPrimeFactor.html"
    
    - concept: lebesgue-constant
      arity: 1
      en: lebesgue constant of $1
      property: indexed constant
      area: "fourier series"
      mathml:
       - "<math><msub intent='lebesgue-constant($a1)'><mi>L</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/LebesgueConstants.html"
       - "https://en.wikipedia.org/wiki/Lebesgue_constant_(interpolation)"
       - "https://dlmf.nist.gov/1.8#E8"
       - "https://www.encyclopediaofmath.org/index.php/Lebesgue_constants"
    
    - concept: lebesgue-integral
      arity: 1
      en: lebesgue integral of $1
      property: indexed
      area: "measure theory"
      mathml:
       - "<math><mrow intent='lebesgue-integral($a1)'><mo>∫</mo><mi arg='a1'>f</mi></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/LebesgueIntegral.html"
       - "https://www.encyclopediaofmath.org/index.php/Lebesgue_integral"
    
    - concept: leech-lattice
      arity: 0
      en: leech lattice
      property: symbol
      area: "group theory"
      mathml:
       - "<math><msub intent='leech-lattice'><mo>Λ</mo><mn>24</mn></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/LeechLattice.html"
       - "https://en.wikipedia.org/wiki/Leech_lattice"
       - "https://ncatlab.org/nlab/show/Leech+lattice"
    
    - concept: left-adjoint
      arity: 2
      en: $1 left adjoint $2
      property: infix
      area: "category theory"
      mathml:
       - "<math><mrow intent='left-adjoint($a1,$a2)'><mi arg='a1'>X</mi><mo>⊣</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Adjoint_functors"
    
    - concept: left-composition
      arity: 2
      en: $1 left composition $2
      property: infix
      area: "algebra"
      mathml:
       - "<math><mrow intent='left-composition($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"
      alias:
       - left-compose
    
    - concept: left-derivative
      arity: 1
      en: left derivative of $1
      property: operator
      area: "calculus"
      mathml:
       - "<math><msub intent='left-derivative($a1)'><mo>∂</mo><mo>−</mo></msub><mi arg='a1'>f</mi></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Left_and_right_derivative"
    
    - concept: legendre-chi-function
      arity: 1
      en: legendre chi function of $1
      property: "indexed function"
      area: "special functions"
      mathml:
       - "<math><msub intent='legendre-chi-function($a1)'><mi>χ</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Legendre_chi_function"
       - "https://mathworld.wolfram.com/LegendresChi-Function.html"
    
    - concept: legendre-polynomial
      arity: 1
      en: legendre polynomial of $1
      property: function
      area: "orthogonal polynomials"
      mathml:
       - "<math><msub intent='legendre-polynomial($a1)'><mi>P</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/LegendrePolynomial.html"
       - "https://en.wikipedia.org/wiki/Legendre_polynomials"
       - "https://dlmf.nist.gov/18.3"
       - "https://dlmf.nist.gov/18.3#T1.t1.r25"
       - "https://ncatlab.org/nlab/show/Legendre+polynomial"
    
    - concept: legendre-symbol
      arity: 2
      en: legendre symbol
      property: fenced, fenced stacked
      area: "number theory"
      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: 
       - "https://mathworld.wolfram.com/LegendreSymbol.html"
       - "https://en.wikipedia.org/wiki/Legendre_symbol"
       - "https://dlmf.nist.gov/27.9"
    
    - concept: lehmer-mean
      arity: 1
      en: lehmer mean of $1
      property: "indexed function"
      area: "means"
      mathml:
       - "<math><msub intent='lehmer-mean($a1)'><mi>L</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/LehmerMean.html"
       - "https://en.wikipedia.org/wiki/Lehmer_mean"
    
    - concept: lehmer-number
      arity: 1
      en: lehmer number of $1
      property: "indexed function"
      area: "number theory"
      mathml:
       - "<math><msub intent='lehmer-number($a1)'><mi>U</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/LehmerNumber.html"
       - "https://mathworld.wolfram.com/LehmersNumber.html"
       - "https://en.wikipedia.org/wiki/Lehmer_number"
    
    - concept: level
      arity: 1
      en: level of $1
      property: function
      area: "scales of measurement"
      mathml:
       - "<math><msub intent='level($a1)'><mi>L</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Level_(logarithmic_quantity)"
       - "https://en.wikipedia.org/wiki/Categorical_variable"
       - "https://ncatlab.org/nlab/show/level"
    
    - concept: levi-civita-symbol
      arity: 3
      en: levi civita symbol  of $1, $2 and $3
      property: "indexed symbol"
      area: "combinatorics"
      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"
       - "https://en.wikipedia.org/wiki/Levi-Civita_symbol"
       - "https://dlmf.nist.gov/1.6#E14"
      alias:
       - permutation-symbol
    
    - concept: levy-prokhorov-metric
      arity: 1
      en: levy prokhorov metric of $1
      property: function
      area: "measure theory"
      mathml:
       - "<math><mrow intent='levy-prokhorov-metric($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"
       - "https://encyclopediaofmath.org/wiki/L%C3%A9vy-Prokhorov_metric"
    
    - concept: lexicographic-product
      arity: 2
      en: $1 lexicographic product $2
      property: infix, mixfix
      area: "graph theory"
      mathml:
       - "<math><mrow intent='lexicographic-product($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"
      alias:
       - graph-composition
    
    - concept: lexicographic-order
      arity: 2
      en: $1 lexicographic order $2
      property: infix
      area: "discrete mathematics"
      mathml:
       - "<math><mrow intent='lexicographic-order($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"
       - "https://mathworld.wolfram.com/LexicographicOrder.html"
       - "https://ncatlab.org/nlab/show/lexicographic+order"
      alias:
       - dictionary-order
    
    - concept: lie-derivative
      arity: 1
      en: lie derivative of $1
      property: "indexed operator"
      area: "lie algebra"
      mathml:
       - "<math><msub intent='lie-derivative($a1)'><mi>ℒ</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/LieDerivative.html"
       - "https://en.wikipedia.org/wiki/Lie_derivative"
       - "https://ncatlab.org/nlab/show/Lie+derivative"
    
    - concept: lie-superbracket
      arity: 2
      en: lie superbracket
      property: fenced
      area: "lie algebra"
      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"
      alias:
       - supercommutator
    
    - concept: like-charge
      arity: 2
      en: $1 like charge $2
      property: infix
      area: "physics"
      mathml:
       - "<math><mrow intent='like-charge($a1,$a2)'><mi arg='a1'>X</mi><mo>⇈</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://youtu.be/HZ7a9YkF204?t=4719"
    
    - concept: line-graph
      arity: 1
      en: line graph of $1
      property: function
      area: "graph theory"
      mathml:
       - "<math><mrow intent='line-graph($a1)'><mi>L</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/LineGraph.html"
       - "https://en.wikipedia.org/wiki/Line_graph"
    
    - concept: line-integral
      arity: 1
      en: line integral of $1
      property: indexed
      area: "analysis"
      mathml:
       - "<math><mrow intent='line-integral($a1)'><mo>∫</mo><mi arg='a1'>f</mi></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/LineIntegral.html"
       - "https://en.wikipedia.org/wiki/Line_integral"
       - "https://ncatlab.org/nlab/show/line+integral"
      alias:
       - curve-integral
       - path-integral
       - curvilinear-integral
       - contour-integral
    
    - concept: linear-span
      arity: 1
      en: linear span of $1
      property: function
      area: "linear algebra"
      mathml:
       - "<math><mrow intent='linear-span($a1)'><mi>span</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/LinearSpan.html"
       - "https://en.wikipedia.org/wiki/Linear_span"
      alias:
       - span
       - linear-hull
    
    - concept: link
      arity: 1
      en: link of $1
      property: function
      area: "graph theory"
      mathml:
       - "<math><mrow intent='link($a1)'><mi>Lk</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/Link.html"
    
    - concept: gunter-link
      arity: 1
      en: gunter link of $1
      property: unit
      area: "units"
      mathml:
       - "<math><mrow intent='gunter-link($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>"
      urls: 
       - "https://en.wikipedia.org/wiki/Link_(unit)"
    
    - concept: liouville-constant
      arity: 0
      en: liouville constant
      property: constant
      area: "number theory"
      mathml:
       - "<math><mi intent='liouville-constant'>L</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/LiouvillesConstant.html"
      alias:
       - liouville-number
    
    - concept: liouville-function
      arity: 1
      en: liouville function of $1
      property: function
      area: "number theory"
      mathml:
       - "<math><mrow intent='liouville-function($a1)'><mi>λ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/LiouvilleFunction.html"
       - "https://en.wikipedia.org/wiki/Liouville_function"
       - "https://dlmf.nist.gov/27.2#E13"
    
    - concept: localization
      arity: 2
      en: localization of $2 by $1
      property: mixfix
      area: "module theory"
      mathml:
       - "<math><mrow intent='localization($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"
       - "https://en.wikipedia.org/wiki/Localization_(algebra)"
       - "https://en.wikipedia.org/wiki/Localization_of_a_ring"
       - "https://ncatlab.org/nlab/show/localization"
       - "https://ncatlab.org/nlab/show/localization+of+a+module"
    
    - concept: logarithmic-integral
      arity: 1
      en: logarithmic integral of $1
      property: function
      area: "special functions"
      mathml:
       - "<math><mrow intent='logarithmic-integral($a1)'><mi>li</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/LogarithmicIntegral.html"
       - "https://dlmf.nist.gov/6.2#i"
       - "https://dlmf.nist.gov/6.2#E8"
    
    - concept: logarithmic-moment-of-function
      arity: 2
      en: $1<i>th</i> logarithmic moment of $2
      property: "mixfix"
      area: "mathematics"
      mathml:
       - "<math><mrow intent='logarithmic-moment-of-function($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: 
       - "https://en.wikipedia.org/wiki/Moment_(mathematics)"
      alias:
       - logarithmic-moment
    
    - concept: logit
      arity: 1
      en: logit of $1
      property: function
      area: "statistics"
      mathml:
       - "<math><mrow intent='logit($a1)'><mi>logit</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Logit"
    
    - concept: lommel-function
      arity: 2
      en: $1 ,$2 lommel function
      property: "indexed function"
      area: "special functions"
      mathml:
       - "<math><mrow intent='lommel-function($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"
       - "https://en.wikipedia.org/wiki/Lommel_function"
       - "https://dlmf.nist.gov/11.9"
       - "https://dlmf.nist.gov/11.9#E5"
       - "https://dlmf.nist.gov/11.9#E3"
    
    - concept: long-division
      arity: 1
      en: long division of $1 by $2
      property: mfrac
      area: "arithmetic"
      comments:
       - "long division display layout"
      urls: 
       - "https://mathworld.wolfram.com/LongDivision.html"
       - "https://en.wikipedia.org/wiki/Long_division"
    
    - concept: loop-space
      arity: 1
      en: loop space of $1
      property: function
      area: "topology"
      mathml:
       - "<math><mrow intent='loop-space($a1)'><mi>Ω</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/LoopSpace.html"
       - "https://en.wikipedia.org/wiki/Loop_space"
       - "https://ncatlab.org/nlab/show/loop+space"
    
    - concept: lower-closure-poset
      arity: 1
      en: lower closure poset of $1
      property: prefix
      area: "order theory"
      mathml:
       - "<math><mrow intent='lower-closure-poset($a1)'><mo>↓</mo><mi arg='a1'>x</mi></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Upper_set#Upper_closure_and_lower_closure"
    
    - concept: lower-darboux-integral
      arity: 1
      en: lower darboux integral of $1
      property: indexed
      area: "real analysis"
      mathml:
       - "<math><mrow intent='lower-darboux-integral($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: 
       - "https://mathworld.wolfram.com/DarbouxIntegral.html"
       - "https://en.wikipedia.org/wiki/Darboux_integral"
       - "https://www.encyclopediaofmath.org/index.php/Darboux_integral"
    
    - concept: lower-dini-derivative
      arity: 1
      en: lower dini derivative of $1
      property: decorated function
      area: "analysis"
      mathml:
       - "<math><mrow intent='lower-dini-derivative($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"
       - "https://en.wikipedia.org/wiki/Dini_derivative"
       - "https://www.encyclopediaofmath.org/index.php/Dini_derivative"
    
    - concept: lower-shadow
      arity: 1
      en: lower shadow of $1
      property: function
      area: "combinatorics"
      mathml:
       - "<math><mrow intent='lower-shadow($a1)'><mi>𝜕</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
      notationa: "msub 𝜕 -"
      urls: 
       - "http://qk206.user.srcf.net/notes/combinatorics.pdf"
      alias:
       - shadow
    
    - concept: lucas-number
      arity: 1
      en: lucas number of $1
      property: "indexed symbol"
      area: "integer sequences"
      mathml:
       - "<math><msub intent='lucas-number($a1)'><mi>L</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/LucasNumber.html"
       - "https://en.wikipedia.org/wiki/Lucas_number"
       - "https://en.wikipedia.org/wiki/Lucas_prime"
    
    - concept: lucas-sequence
      arity: 1
      en: lucas sequence of $1
      property: "indexed function"
      area: "integer sequences"
      mathml:
       - "<math><msub intent='lucas-sequence($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: 
       - "https://mathworld.wolfram.com/LucasSequence.html"
       - "https://en.wikipedia.org/wiki/Lucas_sequence"
    
    - concept: lyapunov-candidate-function
      arity: 1
      en: lyapunov candidate function of $1
      property: function
      area: "stability theory"
      mathml:
       - "<math><mrow intent='lyapunov-candidate-function($a1)'><mi>V</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/LyapunovFunction.html"
       - "https://en.wikipedia.org/wiki/Lyapunov_function"
       - "https://www.encyclopediaofmath.org/index.php/Lyapunov_function"
      alias:
       - lyapunov-function
    
    - concept: macdonald-polynomial
      arity: 1
      en: macdonald polynomial of $1
      property: function
      area: "orthogonal polynomials"
      mathml:
       - "<math><mrow intent='macdonald-polynomial($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"
       - "https://ncatlab.org/nlab/show/Macdonald+polynomial"
    
    - concept: mahler-measure
      arity: 1
      en: mahler measure of $1
      property: function
      area: "number theory"
      mathml:
       - "<math><mrow intent='mahler-measure($a1)'><mi>M</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/MahlerMeasure.html"
       - "https://en.wikipedia.org/wiki/Mahler_measure"
       - "https://www.encyclopediaofmath.org/index.php/Mahler_measure"
    
    - concept: mangoldt-function
      arity: 1
      en: mangoldt function of $1
      property: function
      area: "special functions"
      mathml:
       - "<math><mrow intent='mangoldt-function($a1)'><mi>Λ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/MangoldtFunction.html"
       - "https://dlmf.nist.gov/27.2#E14"
       - "https://www.encyclopediaofmath.org/index.php/Mangoldt_function"
      alias:
       - von-mangoldt-function
    
    - concept: mapping-class-group
      arity: 1
      en: mapping class group of $1
      property: function
      area: "geometric topology"
      mathml:
       - "<math><mrow intent='mapping-class-group($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"
       - "https://ncatlab.org/nlab/show/mapping+class+group"
    
    - concept: mapping-cone
      arity: 1
      en: mapping cone of $1
      property: "indexed symbol"
      area: "homotopy theory"
      mathml:
       - "<math><msub intent='mapping-cone($a1)'><mi>C</mi><mi arg='a1'>x</mi></msub></math>"
      notationa: "mrow C $1"
      urls: 
       - "https://en.wikipedia.org/wiki/Mapping_cone_(topology)"
       - "https://en.wikipedia.org/wiki/Mapping_cone_(homological_algebra)"
       - "https://ncatlab.org/nlab/show/mapping+cone"
      alias:
       - homotopy-cofiber
    
    - concept: matching-polynomial
      arity: 1
      en: matching polynomial of $1
      property: "indexed function"
      area: "graph theory"
      mathml:
       - "<math><msub intent='matching-polynomial($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>"
      urls: 
       - "https://en.wikipedia.org/wiki/Matching_polynomial"
    
    - concept: mathieu-function-of-first-kind
      arity: 1
      en: mathieu function of first kind of $1
      property: "indexed function"
      area: "special functions"
      mathml:
       - "<math><msub intent='mathieu-function-of-first-kind($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: 
       - "https://mathworld.wolfram.com/MathieuFunction.html"
       - "https://en.wikipedia.org/wiki/Mathieu_function"
       - "https://dlmf.nist.gov/28#PT2"
       - "https://dlmf.nist.gov/28#PT3"
       - "https://dlmf.nist.gov/28.2#SS6.p1"
       - "https://dlmf.nist.gov/28.26#i"
       - "https://dlmf.nist.gov/28.26#i"
       - "https://dlmf.nist.gov/28.26#i"
       - "https://dlmf.nist.gov/28.26#i"
       - "https://dlmf.nist.gov/28.12#SS2.p2"
       - "https://dlmf.nist.gov/28.2#SS6.p1"
       - "https://www.encyclopediaofmath.org/index.php/Mathieu_functions"
      alias:
       - angular-mathieu-function
       - mathieu-function
    
    - concept: mathieu-function-of-second-kind
      arity: 1
      en: mathieu function of second kind of $1
      property: "indexed function"
      area: "special functions"
      mathml:
       - "<math><msub intent='mathieu-function-of-second-kind($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: 
       - "https://mathworld.wolfram.com/MathieuFunction.html"
       - "https://en.wikipedia.org/wiki/Mathieu_function"
       - "https://dlmf.nist.gov/28#PT2"
       - "https://dlmf.nist.gov/28#PT3"
       - "https://dlmf.nist.gov/28.2#SS6.p1"
       - "https://dlmf.nist.gov/28.26#i"
       - "https://dlmf.nist.gov/28.26#i"
       - "https://dlmf.nist.gov/28.26#i"
       - "https://dlmf.nist.gov/28.26#i"
       - "https://dlmf.nist.gov/28.12#SS2.p2"
       - "https://dlmf.nist.gov/28.2#SS6.p1"
       - "https://www.encyclopediaofmath.org/index.php/Mathieu_functions"
      alias:
       - angular-mathieu-function
       - mathieu-function
    
    - concept: mathieu-group
      arity: 1
      en: mathieu group $1
      property: "indexed symbol"
      area: "group theory"
      mathml:
       - "<math><msub intent='mathieu-group($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>"
       - "<math><msub intent='mathieu-group($a1)'><mi>M</mi><mn arg='a1'>23</mn></msub></math>"
       - "<math><msub intent='mathieu-group($a1)'><mi>M</mi><mn arg='a1'>24</mn></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/MathieuGroups.html"
       - "https://en.wikipedia.org/wiki/Multiply_transitive_group"
       - "https://en.wikipedia.org/wiki/Mathieu_group"
       - "https://en.wikipedia.org/wiki/Mathieu_group_M11"
       - "https://en.wikipedia.org/wiki/Mathieu_group_M12"
       - "https://en.wikipedia.org/wiki/Mathieu_group_M22"
       - "https://en.wikipedia.org/wiki/Mathieu_group_M23"
       - "https://en.wikipedia.org/wiki/Mathieu_group_M24"
       - "https://ncatlab.org/nlab/show/Mathieu+group"
       - "https://www.encyclopediaofmath.org/index.php/Mathieu_group"
    
    - concept: matrix
      arity: 1
      en: matrix $1
      property: mtable, fenced
      area: "algebra"
      mathml:
       - "<math><mrow intent='matrix($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: 
       - "https://mathworld.wolfram.com/Matrix.html"
       - "https://mathworld.wolfram.com/SquareBracket.html"
       - "https://en.wikipedia.org/wiki/Matrix_(mathematics)"
       - "https://en.wikipedia.org/wiki/List_of_matrices"
       - "https://en.wikipedia.org/wiki/Skew-symmetric_matrix"
       - "https://en.wikipedia.org/wiki/Prenex_normal_form"
       - "https://en.wikipedia.org/wiki/Matrix_isolation"
       - "https://ncatlab.org/nlab/show/matrix"
       - "https://www.encyclopediaofmath.org/index.php/Matrix"
    
    - concept: matrix-ring
      arity: 1
      en: matrix ring of $1
      property: function
      area: "abstract algebra"
      mathml:
       - "<math><msub intent='matrix-ring($a1)'><mi>M</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Matrix_ring"
       - "https://www.encyclopediaofmath.org/index.php/Matrix_ring"
    
    - concept: maximum-degree
      arity: 1
      en: maximum degree of $1
      property: function
      area: "graph theory"
      mathml:
       - "<math><mrow intent='maximum-degree($a1)'><mi>Δ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/MaximumDegree.html"
       - "https://en.wikipedia.org/wiki/Degree_(graph_theory)"
       - "https://en.wikipedia.org/wiki/Degree_sequence"
    
    - concept: mean-curvature
      arity: 1
      en: mean curvature of $1
      property: function
      area: "differential geometry"
      mathml:
       - "<math><mrow intent='mean-curvature($a1)'><mi>H</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/MeanCurvature.html"
       - "https://en.wikipedia.org/wiki/Mean_curvature"
       - "https://www.encyclopediaofmath.org/index.php/Mean_curvature"
    
    - concept: mean-squared-error
      arity: 1
      en: mean squared error of $1
      property: function
      area: "statistics"
      mathml:
       - "<math><mrow intent='mean-squared-error($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"
    
    - concept: meixner-pollaczek-polynomial
      arity: 1
      en: meixner pollaczek polynomial of $1
      property: "indexed function"
      area: "orthogonal polynomials"
      mathml:
       - "<math><mrow intent='meixner-pollaczek-polynomial($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"
       - "https://en.wikipedia.org/wiki/Meixner%E2%80%93Pollaczek_polynomials"
       - "https://dlmf.nist.gov/18.19#P3.p1"
    
    - concept: mellin-transform
      arity: 1
      en: mellin transform of $1
      property: operator
      area: "integral transforms"
      mathml:
       - "<math><mrow intent='mellin-transform($a1)'><mi>ℳ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/MellinTransform.html"
       - "https://en.wikipedia.org/wiki/Mellin_transform"
       - "https://dlmf.nist.gov/1.14#E32"
       - "https://www.encyclopediaofmath.org/index.php/Mellin_transform"
    
    - concept: meridian-radius-of-curvature
      arity: 1
      en: meridian radius of curvature of $1
      property: function
      area: "geodesy"
      mathml:
       - "<math><mrow intent='meridian-radius-of-curvature($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"
       - "https://en.wikipedia.org/wiki/Meridian_arc"
    
    - concept: meridian-distance
      arity: 1
      en: meridian distance of $1
      property: function
      area: "geodesy"
      mathml:
       - "<math><mrow intent='meridian-distance($a1)'><mi>m</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/Meridian.html"
    
    - concept: mersenne-number
      arity: 1
      en: mersenne number of $1
      property: "indexed symbol"
      area: "number theory"
      mathml:
       - "<math><msub intent='mersenne-number($a1)'><mi>M</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/MersenneNumber.html"
       - "https://www.encyclopediaofmath.org/index.php/Mersenne_number"
    
    - concept: mersenne-prime
      arity: 1
      en: mersenne prime of $1
      property: "indexed symbol"
      area: "number theory"
      mathml:
       - "<math><msub intent='mersenne-prime($a1)'><mi>M</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/MersennePrime.html"
       - "https://en.wikipedia.org/wiki/Mersenne_number"
       - "https://en.wikipedia.org/wiki/Mersenne_prime"
    
    - concept: merten-function
      arity: 1
      en: merten function of $1
      property: function
      area: "number theory"
      mathml:
       - "<math><mrow intent='merten-function($a1)'><mi>M</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/MertensFunction.html"
       - "https://en.wikipedia.org/wiki/Mertens_function"
    
    - concept: meson
      arity: 1
      en: meson of $1
      property: 
      urls: 
       - "https://en.wikipedia.org/wiki/Meson"
       - "https://en.wikipedia.org/wiki/List_of_mesons"
       - "https://ncatlab.org/nlab/show/meson"
    
    - concept: metaplectic-group
      arity: 1
      en: metaplectic group
      property: symbol
      area: "group theory"
      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"
       - "https://en.wikipedia.org/wiki/Metaplectic_group"
       - "https://ncatlab.org/nlab/show/metaplectic+group"
    
    - concept: mills-constant
      arity: 0
      en: mills constant
      property: symbol
      area: "number theory"
      mathml:
       - "<math><mi intent='mills-constant'>A</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/MillsConstant.html"
       - "https://en.wikipedia.org/wiki/Mills%27_constant"
       - "https://en.wikipedia.org/wiki/Mills_prime"
    
    - concept: mills-ratio
      arity: 1
      en: mills ratio of $1
      property: function
      area: "probability theory"
      mathml:
       - "<math><mrow intent='mills-ratio($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: 
       - "https://mathworld.wolfram.com/MillsRatio.html"
       - "https://en.wikipedia.org/wiki/Mills_ratio"
       - "https://dlmf.nist.gov/7.8#E1"
    
    - concept: minimum-degree
      arity: 1
      en: minimum degree of $1
      property: function
      area: "graph theory"
      mathml:
       - "<math><mrow intent='minimum-degree($a1)'><mi>δ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/MinimumDegree.html"
       - "https://en.wikipedia.org/wiki/Degree_(graph_theory)"
       - "https://en.wikipedia.org/wiki/Degree_sequence"
    
    - concept: minkowski-difference
      arity: 2
      en: $1 minkowski difference $2
      property: infix
      area: "geometry"
      mathml:
       - "<math><mrow intent='minkowski-difference($a1,$a2)'><mi arg='a1'>X</mi><mo>-</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Minkowski_addition"
      alias:
       - geometric-difference
    
    - concept: minkowski-sum
      arity: 2
      en: $1 minkowski sum $2
      property: infix
      area: "geometry"
      mathml:
       - "<math><mrow intent='minkowski-sum($a1,$a2)'><mi arg='a1'>X</mi><mo>+</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/MinkowskiSum.html"
       - "https://en.wikipedia.org/wiki/Minkowski_addition"
      alias:
       - dilation
    
    - concept: mittag-leffler-function
      arity: 1
      en: mittag leffler function of $1
      property: "indexed function"
      area: "special functions"
      mathml:
       - "<math><msub intent='mittag-leffler-function($a1)'><mi>E</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/Mittag-LefflerFunction.html"
       - "https://en.wikipedia.org/wiki/Mittag-Leffler_function"
       - "https://dlmf.nist.gov/10.46#E3"
       - "https://www.encyclopediaofmath.org/index.php/Mittag-Leffler_function"
    
    - concept: mobius-function
      arity: 1
      en: mobius function of $1
      property: function
      area: "number theory"
      mathml:
       - "<math><mrow intent='mobius-function($a1)'><mi>μ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/MoebiusFunction.html"
       - "https://en.wikipedia.org/wiki/%CE%9C(n)"
       - "https://en.wikipedia.org/wiki/M%C3%B6bius_function"
       - "https://dlmf.nist.gov/27.2#E12"
       - "https://www.encyclopediaofmath.org/index.php/Möbius_function"
    
    - concept: modified-bessel-function-of-first-kind
      arity: 1
      en: modified bessel function of first kind of $1
      property: function
      area: "special functions"
      mathml:
       - "<math><msub intent='modified-bessel-function-of-first-kind($a1)'><mi>I</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://dlmf.nist.gov/10#PT3"
       - "https://dlmf.nist.gov/10.25#E2"
       - "https://dlmf.nist.gov/10.25#E3"
    
    - concept: modified-bessel-function-of-second-kind
      arity: 1
      en: modified bessel function of second kind of $1
      property: function
      area: "special functions"
      mathml:
       - "<math><msub intent='modified-bessel-function-of-second-kind($a1)'><mi>K</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://dlmf.nist.gov/10#PT3"
       - "https://dlmf.nist.gov/10.25#E2"
       - "https://dlmf.nist.gov/10.25#E3"
    
    - concept: modified-mathieu-function
      arity: 1
      en: modified mathieu function of $1
      property: function
      area: "special functions"
      mathml:
       - "<math><msub intent='modified-mathieu-function($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>"
       - "<math><msub intent='modified-mathieu-function($a1)'><mi>Fe</mi><mi arg='a1'>x</mi></msub></math>"
       - "<math><msub intent='modified-mathieu-function($a1)'><mi>Ge</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://dlmf.nist.gov/28#PT4"
       - "https://dlmf.nist.gov/28.20#E3"
       - "https://dlmf.nist.gov/28.20#E6"
       - "https://dlmf.nist.gov/28.20#E7"
       - "https://dlmf.nist.gov/28.20#E17"
       - "https://dlmf.nist.gov/28.20#E18"
       - "https://dlmf.nist.gov/28.20#E19"
       - "https://dlmf.nist.gov/28.20#E20"
       - "https://dlmf.nist.gov/28.20#SS3.p1"
       - "https://dlmf.nist.gov/28.20#E5"
       - "https://dlmf.nist.gov/28.20#E4"
    
    - concept: modified-spherical-bessel-function
      arity: 1
      en: modified spherical bessel function of $1
      property: function
      area: "special functions"
      mathml:
       - "<math><mrow intent='modified-spherical-bessel-function($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>"
      urls: 
       - "https://mathworld.wolfram.com/ModifiedSphericalBesselFunction.html"
       - "https://dlmf.nist.gov/10.47#E7"
       - "https://dlmf.nist.gov/10.47#E8"
       - "https://dlmf.nist.gov/10.47#E9"
    
    - concept: modified-struve-function
      arity: 1
      en: modified struve function of $1
      property: function
      area: "special functions"
      mathml:
       - "<math><msub intent='modified-struve-function($a1)'><mi>L</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/ModifiedStruveFunction.html"
       - "https://dlmf.nist.gov/11.2#E2"
       - "https://dlmf.nist.gov/11.2#E6"
    
    - concept: modular-discriminant
      arity: 1
      en: modular discriminant of $1
      property: operator
      area: "special functions"
      mathml:
       - "<math><mrow intent='modular-discriminant($a1)'><mi>Δ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/ModularDiscriminant.html"
       - "https://en.wikipedia.org/wiki/Modular_form#The_modular_discriminant"
    
    - concept: modulo
      arity: 2
      en: $1 modulo $2
      property: infix, mixfix
      area: "modular arithmetic"
      mathml:
       - "<math><mrow intent='modulo($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"
       - "https://en.wikipedia.org/wiki/Modulo_(jargon)"
       - "https://en.wikipedia.org/wiki/Modulo_operation"
       - "https://dlmf.nist.gov/front/introduction#Sx4.p2.t1.r10"
      alias:
       - mod
    
    - concept: moebius-function
      arity: 1
      en: moebius function of $1
      property: function
      area: "number theory"
      mathml:
       - "<math><mrow intent='moebius-function($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"
       - "https://en.wikipedia.org/wiki/M%C3%B6bius_function"
    
    - concept: moment-of-function
      arity: 
      en: $1<i>th</i> moment 
      property: "msub, mixfix"
      area: "mathematics"
      mathml:
       - "<math><mrow intent='moment-of-function($a1)'><msub><mi>μ</mi><mi arg='a1'>n</mi></msub></mrow></math>"
      notationa: "mrow E [ msup $1 $2 ]"
      urls: 
       - "https://en.wikipedia.org/wiki/Moment_(mathematics)"
      alias:
       - moment
    
    - concept: moment
      arity: 0
      en: moment
      property: symbol
      area: "mechanics"
      mathml:
       - "<math><mi intent='moment'>M</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/Moment.html"
       - "https://en.wikipedia.org/wiki/Moment_(mathematics)"
       - "https://en.wikipedia.org/wiki/Torque"
       - "https://ncatlab.org/nlab/show/moment"
       - "https://www.encyclopediaofmath.org/index.php/Moment"
    
    - concept: moment-of-inertia
      arity: 0
      en: moment of inertia
      property: symbol
      area: "physics"
      mathml:
       - "<math><mi intent='moment-of-inertia'>I</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/MomentofInertia.html"
       - "https://en.wikipedia.org/wiki/Moment_of_inertia"
       - "https://ncatlab.org/nlab/show/moment+of+inertia"
      alias:
       - mass-moment-of-inertia
       - angular-mass
       - rotational-inertia
    
    - concept: momentum
      arity: 0
      en: momentum
      property: symbol
      area: "mechanics"
      mathml:
       - "<math><mi intent='momentum'>p</mi></math>"
       - "<math><mi intent='momentum'>mip</mi></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Momentum"
       - "https://ncatlab.org/nlab/show/momentum"
      alias:
       - linear-momentum
       - translational-momentum
    
    - concept: monster-group
      arity: 0
      en: monster group
      property: symbol
      area: "group theory"
      mathml:
       - "<math><mi intent='monster-group'>M</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/MonsterGroup.html"
       - "https://en.wikipedia.org/wiki/Monster_group"
       - "https://ncatlab.org/nlab/show/Monster+group"
      alias:
       - friendly-giant
    
    - concept: moore-penrose-inverse
      arity: 1
      en: moore penrose inverse of $1
      property: msup
      area: "linear algebra"
      mathml:
       - "<math><msup intent='moore-penrose-inverse($a1)'><mi arg='a1'>X</mi><mo>+</mo></msup></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Moore%E2%80%93Penrose_inverse"
      alias:
       - moore-penrose-pseudoinverse
    
    - concept: moore-smith-sequence
      arity: 1
      en: moore smith sequence of $1
      property: fenced
      area: "topology"
      mathml:
       - "<math><msub intent='moore-smith-sequence($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"
       - "https://en.wikipedia.org/wiki/Net_(mathematics)"
      alias:
       - net
    
    - concept: motzkin-number
      arity: 1
      en: motzkin number of $1
      property: "indexed symbol"
      area: "combinatorial analysis"
      mathml:
       - "<math><msub intent='motzkin-number($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: 
       - "https://mathworld.wolfram.com/MotzkinNumber.html"
       - "https://en.wikipedia.org/wiki/Motzkin_number"
       - "https://en.wikipedia.org/wiki/Motzkin_prime"
       - "https://dlmf.nist.gov/26.6#E2"
    
    - concept: multiple-integral
      arity: 1
      en: multiple integral of $1
      property: indexed
      area: "multivariable calculus"
      mathml:
       - "<math><mrow intent='multiple-integral($a1)'><mrow><mo>∫</mo><mo>⋯</mo><mo>∫</mo></mrow><mi arg='a1'>f</mi></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/MultipleIntegral.html"
       - "https://en.wikipedia.org/wiki/%E2%88%AB%E2%88%ABf(x,y)dxdy"
       - "https://en.wikipedia.org/wiki/Multiple_integral"
       - "https://www.encyclopediaofmath.org/index.php/Multiple_integral"
    
    - concept: multiplicative-inverse
      arity: 1
      en: multiplicative inverse of $1
      property: msup, mixfix
      area: "abstract algebra"
      mathml:
       - "<math><msup intent='multiplicative-inverse($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: 
       - "https://mathworld.wolfram.com/Inverse.html"
       - "https://en.wikipedia.org/wiki/Inverse_function"
       - "https://en.wikipedia.org/wiki/Inverse_functions_and_differentiation"
       - "https://ncatlab.org/nlab/show/inverse"
       - "https://mathworld.wolfram.com/MultiplicativeInverse.html"
       - "https://en.wikipedia.org/wiki/Multiplicative_inverse"
      alias:
       - inverse
    
    - concept: multiplicative-order
      arity: 1
      en: multiplicative order of $1
      property: "indexed function"
      area: "modular arithmetic"
      mathml:
       - "<math><msub intent='multiplicative-order($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: 
       - "https://mathworld.wolfram.com/MultiplicativeOrder.html"
       - "https://en.wikipedia.org/wiki/Multiplicative_order"
    
    - concept: multiplier-algebra
      arity: 1
      en: multiplier algebra of $1
      property: function
      area: "functional analysis"
      mathml:
       - "<math><mrow intent='multiplier-algebra($a1)'><mi>M</mi><mrow><mo>(</mo><mi arg='a1'>A</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/MultiplierAlgebra.html"
       - "https://en.wikipedia.org/wiki/Multiplier_algebra"
       - "https://ncatlab.org/nlab/show/multiplier+algebra"
    
    - concept: multichoose
      arity: 2
      en: multichoose
      property: fenced-stacked
      area: "combinatorics"
      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"
    
    - concept: multiset-coefficient
      arity: 2
      en: multiset coefficient
      property: fenced-stacked
      area: "combinatorics"
      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"
      alias:
       - multiset-number
    
    - concept: multivariate-gaussian-distribution
      arity: 1
      en: multivariate gaussian distribution
      property: symbol
      area: "probability theory"
      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"
      alias:
       - multivariate-normal-distribution
       - joint-normal-distribution
    
    - concept: mutation
      arity: 2
      en: mutation
      property: msup
      area: "abstract algebra"
      mathml:
       - "<math><msub intent='mutation($a1,$a2)'><mi arg='a1'>A</mi><mi arg='a2'>y</mi></msub></math>"
      notation: "msup $1 $2"
      urls: 
       - "https://mathworld.wolfram.com/Mutation.html"
       - "https://en.wikipedia.org/wiki/Mutation_(knot_theory)"
       - "https://en.wikipedia.org/wiki/Mutation_(Jordan_algebra)"
       - "https://en.wikipedia.org/wiki/Hua%27s_identity_(Jordan_algebra)"
       - "https://en.wikipedia.org/wiki/Mutation_(algebra)"
       - "https://en.wikipedia.org/wiki/Mutation_(genetic_algorithm)"
      alias:
       - homotope
    
    - concept: mutual-information
      arity: 1
      en: mutual information of $1
      property: function
      area: "information theory"
      mathml:
       - "<math><mrow intent='mutual-information($a1)'><mi>I</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/MutualInformation.html"
       - "https://en.wikipedia.org/wiki/Mutual_information"
    
    - concept: narayana-number
      arity: 2
      en: narayana number
      property: function
      area: "combinatorial analysis"
      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"
       - "https://en.wikipedia.org/wiki/Narayana_number"
       - "https://dlmf.nist.gov/26.6#E3"
    
    - concept: narrow-denjoy-integral
      arity: 1
      en: narrow denjoy integral of $1
      property: indexed
      area: "calculus"
      mathml:
       - "<math><mrow intent='narrow-denjoy-integral($a1)'><mo>∫</mo><mi arg='a1'>f</mi></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/DenjoyIntegral.html"
       - "https://en.wikipedia.org/wiki/Henstock%E2%80%93Kurzweil_integral"
       - "https://www.encyclopediaofmath.org/index.php/Denjoy_integral"
      alias:
       - henstock-kurzweil-integral
       - luzin-integral
       - perron-integral
    
    - concept: negative-binomial-distribution
      arity: 0
      en: negative binomial distribution
      property: symbol
      area: "probability theory"
      mathml:
       - "<math><mi intent='negative-binomial-distribution'>NB</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/NegativeBinomialDistribution.html"
       - "https://en.wikipedia.org/wiki/Negative_binomial_distribution"
       - "https://www.encyclopediaofmath.org/index.php/Negative_binomial_distribution"
    
    - concept: negative-hypergeometric-distribution
      arity: 1
      en: negative hypergeometric distribution of $1
      property: "indexed symbol"
      area: "probability theory"
      mathml:
       - "<math><mrow intent='negative-hypergeometric-distribution($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"
       - "https://www.encyclopediaofmath.org/index.php/Negative_hypergeometric_distribution"
    
    - concept: neighbourhood
      arity: 2
      en: neighbourhood of $2 in $1
      property: "indexed function, function"
      area: "graph theory"
      mathml:
       - "<math><mrow intent='neighbourhood($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"
      urls: 
       - "https://en.wikipedia.org/wiki/Neighbourhood_(graph_theory)"
      alias:
       - open-neighbourhood
    
    - concept: neighbourhood-filter
      arity: 1
      en: neighbourhood filter of $1
      property: function
      area: "topology"
      mathml:
       - "<math><mrow intent='neighbourhood-filter($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"
      alias:
       - neighbourhood-system
       - complete-system-of-neighbourhoods
    
    - concept: neron-severi-group
      arity: 1
      en: neron severi group of $1
      property: function
      area: "group theory"
      mathml:
       - "<math><mrow intent='neron-severi-group($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"
       - "https://encyclopediaofmath.org/wiki/N%C3%A9ron-Severi_group"
    
    - concept: neron-tate-height
      arity: 0
      en: neron tate height
      property: symbol
      area: "number theory"
      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"
      alias:
       - canonical-height
    
    - concept: nerve
      arity: 1
      en: nerve of $1
      property: function
      area: "category theory"
      mathml:
       - "<math><mrow intent='nerve($a1)'><mi>N</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/Nerve.html"
       - "https://en.wikipedia.org/wiki/Nerve_(category_theory)"
       - "https://ncatlab.org/nlab/show/nerve"
    
    - concept: nome
      arity: 1
      en: nome of $1
      property: function
      area: "special functions"
      mathml:
       - "<math><mrow intent='nome($a1)'><mi>q</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/Nome.html"
       - "https://en.wikipedia.org/wiki/Nome_(mathematics)"
    
    - concept: non-oriented-angle
      arity: 1
      en: non oriented angle of $1
      property: prefix
      area: "geometry"
      mathml:
       - "<math><mrow intent='non-oriented-angle($a1)'><mo>∠</mo><mi arg='a1'>x</mi></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Orientation_(vector_space)"
       - "https://en.wikipedia.org/wiki/Euclidean_space#Angle"
      alias:
       - angle
    
    - concept: nor
      arity: 2
      en: $1 nor $2
      property: infix
      area: "logic"
      mathml:
       - "<math><mrow intent='nor($a1,$a2)'><mi arg='a1'>X</mi><mo>↓</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/Nor.html"
       - "https://mathworld.wolfram.com/NOR.html"
      alias:
       - joint-denial
    
    - concept: norm
      arity: 1
      en: norm of $1
      property: fenced
      area: "linear algebra"
      mathml:
       - "<math><mrow intent='norm($a1)'><mo>‖</mo><mi arg='a1'>x</mi><mo>‖</mo></mrow></math>"
      notationa: "mrow | $1"
      urls: 
       - "https://mathworld.wolfram.com/Norm.html"
       - "https://en.wikipedia.org/wiki/Norm_(mathematics)"
       - "https://en.wikipedia.org/wiki/Norm_(abelian_group)"
       - "https://ncatlab.org/nlab/show/norm"
       - "https://www.encyclopediaofmath.org/index.php/Norm"
    
    - concept: normalizer
      arity: 1
      en: normalizer of $1
      property: function
      area: "group theory"
      mathml:
       - "<math><msub intent='normalizer($a1)'><mi>N</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/Normalizer.html"
       - "https://en.wikipedia.org/wiki/Centralizer_and_normalizer"
       - "https://ncatlab.org/nlab/show/normalizer"
    
    - concept: not-divisible-by
      arity: 2
      en: $1 not divisible by $2
      property: infix
      area: "number theory"
      mathml:
       - "<math><mrow intent='not-divisible-by($a1,$a2)'><mi arg='a1'>X</mi><mo>∤</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Divisor"
    
    - concept: null-graph
      arity: 1
      en: null graph of order $1
      property: symbol
      area: "graph theory"
      mathml:
       - "<math><msub intent='null-graph($a1)'><mover><mi>K</mi><mo>¯</mo></mover><mi arg='a1'>n</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/NullGraph.html"
       - "https://en.wikipedia.org/wiki/Null_graph"
       - "https://en.wikipedia.org/wiki/Order-zero_graph"
      alias:
       - edgeless-graph
    
    - concept: numerical-part
      arity: 1
      en: numerical part of $1
      property: fenced
      area: "SI units"
      mathml:
       - "<math><mrow intent='numerical-part($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"
    
    - concept: object
      arity: 1
      en: object of $1
      property: prefix
      area: "category theory"
      mathml:
       - "<math><mrow intent='object($a1)'><mi>Obj</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/Object.html"
       - "https://en.wikipedia.org/wiki/Lattice-based_access_control"
       - "https://ncatlab.org/nlab/show/object"
    
    - concept: octant
      arity: 3
      en: octant  of $1, $2 and $3
      property: fenced
      area: "euclidean solid geometry"
      mathml:
       - "<math><mrow intent='octant($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"
       - "https://en.wikipedia.org/wiki/Octant_(plane_geometry)"
       - "https://en.wikipedia.org/wiki/Octant_(solid_geometry)"
       - "https://www.encyclopediaofmath.org/index.php/Octant"
    
    - concept: octonions
      arity: 0
      en: octonions
      property: symbol
      area: "compositional algebra"
      mathml:
       - "<math><mi intent='octonions'>𝕆</mi></math>"
       - "<math><mi intent='octonions'>O</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/Octonion.html"
       - "https://en.wikipedia.org/wiki/Octonion"
       - "https://ncatlab.org/nlab/show/octonion"
       - "https://www.encyclopediaofmath.org/index.php/Octonion"
      alias:
       - cayley-numbers
    
    - concept: odds-ratio
      arity: 0
      en: odds ratio
      property: symbol
      area: "statistics"
      mathml:
       - "<math><mi intent='odds-ratio'>OR</mi></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Odds_ratio"
    
    - concept: onsager-machlup-function
      arity: 1
      en: onsager machlup function of $1
      property: function
      area: "functional analysis"
      mathml:
       - "<math><mrow intent='onsager-machlup-function($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"
       - "https://www.encyclopediaofmath.org/index.php/Onsager-Machlup_function"
    
    
    - concept: open-ball
      arity: 2
      en: open ball $1 $2
      property: mixfix
      area: "topology"
      mathml:
       - "<math><mrow intent='open-ball($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"
       - "https://en.wikipedia.org/wiki/Ball_(mathematics)"
      alias:
       - open-metric-ball
    
    - concept: open-interval
      arity: 2
      en: open interval
      property: fenced
      area: "algebra"
      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: 
       - "https://mathworld.wolfram.com/OpenInterval.html"
       - "https://dlmf.nist.gov/front/introduction#Sx4.p1.t1.r28"
    
    - concept: open-real-interval
      arity: 2
      en: open real interval $1 to $2
      property: fenced
      area: "algebra"
      mathml:
       - "<math><mrow intent='open-real-interval($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"
    
    - concept: opposite
      arity: 1
      en: opposite of $1
      property: msup
      area: "category theory,, group theory"
      mathml:
       - "<math><msup intent='opposite($a1)'><mi arg='a1'>X</mi><mi>op</mi></msup></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Opposite_category"
       - "https://ncatlab.org/nlab/show/opposite+category"
       - "https://en.wikipedia.org/wiki/Opposite_group"
       - "https://en.wikipedia.org/wiki/Opposite_ring"
      alias:
       - dual
    
    - concept: opposite-charge
      arity: 2
      en: $1 opposite charge $2
      property: infix
      area: "physics"
      mathml:
       - "<math><mrow intent='opposite-charge($a1,$a2)'><mi arg='a1'>X</mi><mo>⇅</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://youtu.be/HZ7a9YkF204?t=4657"
    
    - concept: or-product
      arity: 2
      en: $1 or product $2
      property: infix
      area: "graph theory"
      mathml:
       - "<math><mrow intent='or-product($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"
      alias:
       - disjunctive-product
       - co-normal-product
    
    - concept: order-of-group
      arity: 1
      en: order of group of $1
      property: "function, fenced"
      area: "group theory"
      mathml:
       - "<math><mrow intent='order-of-group($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: 
       - "https://en.wikipedia.org/wiki/Order_(group_theory))"
    
    - concept: orthocomplement
      arity: 1
      en: orthocomplement of $1
      property: msup
      area: "lattice theory"
      mathml:
       - "<math><msup intent='orthocomplement($a1)'><mi arg='a1'>X</mi><mo>⊥</mo></msup></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Complemented_lattice"
    
    - concept: orthogonal
      arity: 2
      en: $1 orthogonal $2
      property: infix
      area: "geometry,, algebra"
      mathml:
       - "<math><mrow intent='orthogonal($a1,$a2)'><mi arg='a1'>X</mi><mo>⊥</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/Orthogonal.html"
       - "https://en.1wikipedia.org/wiki/Orthogonal_functions"
       - "https://en.wikipedia.org/wiki/Orthogonality_(term_rewriting)"
       - "https://en.wikipedia.org/wiki/Orthogonality"
       - "https://ncatlab.org/nlab/show/orthogonality"
       - "https://www.encyclopediaofmath.org/index.php/Orthogonality"
      alias:
       - perpendicular
    
    - concept: orthogonal-group
      arity: 1
      en: orthogonal group of $1
      property: function
      area: "group theory"
      mathml:
       - "<math><mrow intent='orthogonal-group($a1)'><mi>O</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/OrthogonalGroup.html"
       - "https://en.wikipedia.org/wiki/Orthogonal_group"
       - "https://en.wikipedia.org/wiki/Special_orthogonal_Lie_algebra"
       - "https://ncatlab.org/nlab/show/orthogonal+group"
       - "https://www.encyclopediaofmath.org/index.php/Orthogonal_group"
    
    - concept: outer-automorphism-group
      arity: 1
      en: outer automorphism group of $1
      property: function
      area: "abstract algebra"
      mathml:
       - "<math><mrow intent='outer-automorphism-group($a1)'><mi>Out</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/OuterAutomorphismGroup.html"
       - "https://en.wikipedia.org/wiki/Outer_automorphism_group"
      alias:
       - outer-automorphism
    
    - concept: outer-jordan-measure
      arity: 1
      en: outer jordan measure of $1
      property: function
      area: "measure theory"
      mathml:
       - "<math><mrow intent='outer-jordan-measure($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"
       - "https://en.wikipedia.org/wiki/Jordan_measure"
       - "https://www.encyclopediaofmath.org/index.php/Jordan_measure"
    
    - concept: outer-product
      arity: 2
      en: $1 outer product $2
      property: infix
      area: "linear algebra"
      mathml:
       - "<math><mrow intent='outer-product($a1,$a2)'><mi arg='a1'>X</mi><mo>⊗</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/OuterProduct.html"
       - "https://en.wikipedia.org/wiki/Outer_product"
       - "https://en.wikipedia.org/wiki/Tensor_product"
    
    - concept: p-core
      arity: 1
      en: p core of $1
      property: function
      area: "group theory"
      mathml:
       - "<math><mrow intent='p-core($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)"
       - "https://en.wikipedia.org/wiki/P-soluble_group"
       - "https://en.wikipedia.org/wiki/P-core"
       - "https://en.wikipedia.org/wiki/Upper_p-series"
    
    - concept: pade-approximant
      arity: 3
      en: pade approximant  of $1, $2 and $3
      property: mixfix
      area: "numerical analysis"
      mathml:
       - "<math><msub intent='pade-approximant($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"
       - "https://mathworld.wolfram.com/PadeApproximant.html"
       - "https://en.wikipedia.org/wiki/Pad%C3%A9_approximant"
    
    - concept: padovan-sequence
      arity: 1
      en: padovan sequence of $1
      property: function
      area: "number theory"
      mathml:
       - "<math><mrow intent='padovan-sequence($a1)'><mi>P</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/PadovanSequence.html"
       - "https://en.wikipedia.org/wiki/Padovan_sequence"
    
    - concept: paraboloidal-coordinate
      arity: 3
      en: paraboloidal coordinate of $1, $2 and $3
      property: fenced
      area: "geometry"
      mathml:
       - "<math><mrow intent='paraboloidal-coordinate($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"
       - "https://en.wikipedia.org/wiki/Paraboloidal_coordinates"
       - "https://www.encyclopediaofmath.org/index.php/Paraboloidal_coordinates"
    
    - concept: parallel
      arity: 2
      en: $1 parallel $2
      property: infix
      area: "geometry"
      mathml:
       - "<math><mrow intent='parallel($a1,$a2)'><mi arg='a1'>X</mi><mo>∥</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/Parallel.html"
       - "https://en.wikipedia.org/wiki/Parallel_(geometry)"
       - "https://en.wikipedia.org/wiki/Parallel_curve"
    
    - concept: parallel-morphism
      arity: 2
      en: parallel morphism
      property: embellished infix
      area: "category theory"
      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"
    
    - concept: partial-charge
      arity: 1
      en: partial charge
      property: symbol
      area: "chemistry"
      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: 
       - "https://en.wikipedia.org/wiki/Partial_charge"
       - "https://chem.libretexts.org/Bookshelves/General_Chemistry/Map%3A_Chemistry_-_The_Central_Science_(Brown_et_al.)/08._Basic_Concepts_of_Chemical_Bonding/8.S%3A_Basic_Concepts_of_Chemical_Bonding_(Summary)"
      alias:
       - delta-sign
    
    - concept: partition
      arity: 2
      en: $1 partition $2
      property: infix
      area: "number theory"
      mathml:
       - "<math><mrow intent='partition($a1,$a2)'><mi arg='a1'>X</mi><mo>⊢</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/Partition.html"
       - "https://mathworld.wolfram.com/FrequencyRepresentation.html"
       - "https://en.wikipedia.org/wiki/Partition_(number_theory)"
       - "https://en.wikipedia.org/wiki/List_of_partition_topics"
    
    - concept: partition-frequency-representation
      arity: ">=0"
      en: "partition $1 sup $2, $2 sup $3, ..."
      property: mixfix
      area: "number theory"
      mathml:
       - "<math><mrow intent='partition-frequency-representation($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"
    
    - concept: partition-function
      arity: 1
      en: partition function of $1
      property: function
      area: "number theory"
      mathml:
       - "<math><mrow intent='partition-function($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)"
    
    - concept: pauli-matrix
      arity: 1
      en: pauli matrix of $1
      property: "indexed symbol"
      area: "mathematical physics"
      mathml:
       - "<math><msub intent='pauli-matrix($a1)'><mi>σ</mi><mi arg='a1'>G</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/PauliMatrices.html"
       - "https://mathworld.wolfram.com/PauliMatrix.html"
       - "https://en.wikipedia.org/wiki/Pauli_matrices"
       - "https://www.encyclopediaofmath.org/index.php/Pauli_matrices"
    
    - concept: peclet-number
      arity: 1
      en: peclet number of $1
      property: "indexed symbol"
      area: "fluid dynamics"
      mathml:
       - "<math><msub intent='peclet-number($a1)'><mi>Pe</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/P%C3%A9clet_number"
       - "https://www.encyclopediaofmath.org/index.php/Peclet_number"
       - "https://www.encyclopediaofmath.org/index.php/Péclet_number"
    
    - concept: peirce-arrow
      arity: 2
      en: $1 peirce arrow $2
      property: infix
      area: "logic"
      mathml:
       - "<math><mrow intent='peirce-arrow($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"
    
    - concept: pell-number
      arity: 1
      en: pell number
      property: symbol
      area: "number theory"
      mathml:
       - "<math><msub intent='pell-number($a1)'><mi>P</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/PellNumber.html"
       - "https://en.wikipedia.org/wiki/Pell_number"
    
    - concept: pell-luca-number
      arity: 1
      en: pell luca number
      property: symbol
      area: "number theory"
      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"
       - "https://en.wikipedia.org/wiki/Pell_number"
    
    - concept: periodic-continued-fraction
      arity: 1
      en: periodic continued fraction $1
      property: mfrac
      area: "mathematical analysis"
      mathml:
       - "<math><mrow intent='periodic-continued-fraction($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"
       - "https://en.wikipedia.org/wiki/Periodic_continued_fraction"
    
    - concept: permanent
      arity: 1
      en: permanent of $1
      property: function
      area: "linear algebra"
      mathml:
       - "<math><mrow intent='permanent($a1)'><mi>perm</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/Permanent.html"
       - "https://en.wikipedia.org/wiki/Permanent"
       - "https://www.encyclopediaofmath.org/index.php/Permanent"
    
    - concept: permutation
      arity: 1
      en: permutation $1
      property: fenced, mtable, mixfix
      area: "combinatorics"
      mathml:
       - "<math><mrow intent='permutation($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: 
       - "https://mathworld.wolfram.com/Permutation.html"
       - "https://en.wikipedia.org/wiki/Permutation"
       - "https://en.wikipedia.org/wiki/Permutation_(music)"
       - "https://ncatlab.org/nlab/show/permutation"
       - "https://www.encyclopediaofmath.org/index.php/Permutation"
    
    - concept: perpendicular
      arity: 2
      en: $1 perpendicular $2
      property: infix
      area: "geometry"
      mathml:
       - "<math><mrow intent='perpendicular($a1,$a2)'><mi arg='a1'>X</mi><mo>⟂</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Perpendicular"
       - "https://www.encyclopediaofmath.org/index.php/Perpendicular"
    
    - concept: perrin-sequence
      arity: 1
      en: perrin sequence of $1
      property: function
      area: "number theory"
      mathml:
       - "<math><mrow intent='perrin-sequence($a1)'><mi>P</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/PerrinNumber.html"
       - "https://en.wikipedia.org/wiki/Perrin_number"
    
    - concept: pfaffian
      arity: 1
      en: pfaffian of $1
      property: function
      area: "multilinear algebra"
      mathml:
       - "<math><mrow intent='pfaffian($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: 
       - "https://mathworld.wolfram.com/Pfaffian.html"
       - "https://en.wikipedia.org/wiki/Pfaffian"
       - "https://ncatlab.org/nlab/show/Pfaffian"
       - "https://ncatlab.org/nlab/show/Pfaffian"
       - "https://www.encyclopediaofmath.org/index.php/Pfaffian"
    
    - concept: ph
      arity: 0
      en: p h
      property: symbol
      area: "chemistry"
      mathml:
       - "<math><mi intent='ph'>pH</mi></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/PH"
      alias:
       - potential-of-hydrogen
       - power-of-hydrogen
    
    - concept: phase
      arity: 1
      en: phase of $1
      property: function
      area: "physics"
      mathml:
       - "<math><mrow intent='phase($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: 
       - "https://mathworld.wolfram.com/Phase.html"
       - "https://en.wikipedia.org/wiki/Phase_(waves)"
       - "https://dlmf.nist.gov/1.9#E7"
       - "https://ncatlab.org/nlab/show/phase"
    
    - concept: phi-coefficient
      arity: 0
      en: phi coefficient
      property: symbol
      area: "statistics"
      mathml:
       - "<math><mi intent='phi-coefficient'>φ</mi></math>"
      notationa: "msub r φ"
      urls: 
       - "https://en.wikipedia.org/wiki/Phi_coefficient"
      alias:
       - mean-square-contingency-coefficient
    
    - concept: picard-group
      arity: 1
      en: picard group of $1
      property: function
      area: "group theory"
      mathml:
       - "<math><mrow intent='picard-group($a1)'><mi>Pic</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/PicardGroup.html"
       - "https://en.wikipedia.org/wiki/Picard_group"
       - "https://ncatlab.org/nlab/show/Picard+group"
       - "https://www.encyclopediaofmath.org/index.php/Picard_group"
    
    - concept: planck-constant
      arity: 0
      en: planck constant
      property: constant
      area: "physics"
      mathml:
       - "<math><mi intent='planck-constant'>h</mi></math>"
       - "<math><mi intent='planck-constant'>ℎ</mi></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Planck_constant"
       - "https://ncatlab.org/nlab/show/Planck's+constant"
       - "https://www.encyclopediaofmath.org/index.php/Planck_constant"
    
    - concept: plastic-constant
      arity: 0
      en: plastic constant
      property: constant
      area: "geometry"
      mathml:
       - "<math><mi intent='plastic-constant'>P</mi></math>"
       - "<math><mi intent='plastic-constant'>p</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/PlasticConstant.html"
       - "https://en.wikipedia.org/wiki/Plastic_number"
      alias:
       - plastic-number
       - platin-number
       - minimal-pisot-number
       - plastic-ratio
       - siegel-number
       - le-nombre-radiant
    
    - concept: playing-card-suit
      arity: 1
      en: playing card suit
      property: unit
      area: "game theory"
      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($a1)'><mo arg='a1'>♦</mo></mrow></math>"
       - "<math><mrow intent='playing-card-suit($a1)'><mo arg='a1'>♥</mo></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Playing_card_suit"
       - "https://en.wikipedia.org/wiki/Poker_probability"
    
    
    - concept: plethysm
      arity: 2
      en: plethysm $1 $2
      property: mixfix
      area: "algebra"
      mathml:
       - "<math><mrow intent='plethysm($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"
       - "https://en.wikipedia.org/wiki/Plethysm"
       - "https://ncatlab.org/nlab/show/plethysm"
    
    - concept: plucker-coordinate
      arity: 2
      en: plucker coordinate
      property: fenced
      area: "geometry"
      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"
       - "https://en.wikipedia.org/wiki/Pl%C3%BCcker_coordinates"
       - "https://www.encyclopediaofmath.org/index.php/Plücker_coordinates"
    
    - concept: pointwise-convergent
      arity: 1
      en: $1 converges pointwise
      property: postfix
      area: "convergence"
      mathml:
       - "<math><mrow intent='pointwise-convergent($a1)'><mi arg='a1'>f</mi><mi>pointwise</mi></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/PointwiseConvergence.html"
       - "https://en.wikipedia.org/wiki/Pointwise_convergence"
       - "https://www.encyclopediaofmath.org/index.php/Pointwise_convergence"
    
    - concept: poisson-bracket
      arity: 2
      en: poisson bracket
      property: fenced
      area: "classical mechanics"
      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"
       - "https://en.wikipedia.org/wiki/Poisson_bracket"
       - "https://www.encyclopediaofmath.org/index.php/Poisson_brackets"
    
    - concept: poisson-distribution
      arity: 0
      en: poisson distribution
      property: symbol
      area: "probability theory"
      mathml:
       - "<math><mi intent='poisson-distribution'>Pois</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/PoissonDistribution.html"
       - "https://en.wikipedia.org/wiki/Poisson_distribution"
       - "https://en.wikipedia.org/wiki/Poisson_random_numbers"
       - "https://www.encyclopediaofmath.org/index.php/Poisson_distribution"
    
    - concept: polar-set
      arity: 1
      en: polar set of $1
      property: msup
      area: "functional analysis"
      mathml:
       - "<math><msup intent='polar-set($a1)'><mi arg='a1'>X</mi><mo>°</mo></msup></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Polar_set"
       - "https://en.wikipedia.org/wiki/Polar_set_(potential_theory)"
       - "https://www.encyclopediaofmath.org/index.php/Polar_set"
    
    - concept: pollaczek-polynomial
      arity: 1
      en: $1<i>th</i> pollaczek polynomial
      property: "indexed function"
      area: "orthogonal polynomials"
      mathml:
       - "<math><msubsup intent='pollaczek-polynomial($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"
       - "https://en.wikipedia.org/wiki/Meixner%E2%80%93Pollaczek_polynomials"
       - "https://dlmf.nist.gov/18.35#E4"
    
    - concept: polygamma-function
      arity: 1
      en: polygamma function of $1
      property: "indexed function"
      area: "special functions"
      mathml:
       - "<math><mrow intent='polygamma-function($a1)'><mi>ψ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/PolygammaFunction.html"
       - "https://en.wikipedia.org/wiki/Polygamma_function"
       - "https://dlmf.nist.gov/5.15"
       - "https://dlmf.nist.gov/5.15"
    
    - concept: polynomial-ring
      arity: 2
      en: polynomial ring $1 $2
      property: mixfix
      area: "ring theory"
      mathml:
       - "<math><mrow intent='polynomial-ring($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)"
      alias:
       - polynomial-algebra
    
    - concept: polylogarithm
      arity: 1
      en: polylogarithm of $1
      property: "indexed function"
      area: "special functions"
      mathml:
       - "<math><msub intent='polylogarithm($a1)'><mi>Li</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/Polylogarithm.html"
       - "https://en.wikipedia.org/wiki/Polylogarithm"
       - "https://dlmf.nist.gov/25.12#ii"
       - "https://dlmf.nist.gov/25.12#E10"
       - "https://ncatlab.org/nlab/show/polylogarithm"
    
    - concept: pontrjagin-dual
      arity: 1
      en: pontrjagin dual of $1
      property: mover
      area: "harmonic analysis"
      mathml:
       - "<math><mover intent='pontrjagin-dual($a1)'><mi arg='a1'>G</mi><mo>^</mo></mover></math>"
      urls: 
       - "https://ncatlab.org/nlab/show/Pontrjagin+dual"
       - "https://en.wikipedia.org/wiki/Pontryagin_duality#Definition"
    
    - concept: pontryagin-class
      arity: 1
      en: pontryagin class of $1
      property: "indexed symbol"
      area: "differential topology"
      mathml:
       - "<math><msub intent='pontryagin-class($a1)'><mi>p</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/PontryaginClass.html"
       - "https://en.wikipedia.org/wiki/Pontryagin_class"
       - "https://ncatlab.org/nlab/show/Pontryagin+class"
       - "https://www.encyclopediaofmath.org/index.php/Pontryagin_class"
    
    - concept: positive-part
      arity: 1
      en: positive part of $1
      property: msup, msub
      area: "elementary mathematics"
      mathml:
       - "<math><msup intent='positive-part($a1)'><mi arg='a1'>X</mi><mo>+</mo></msup></math>"
      notationa: "msub $1 +"
      urls: 
       - "https://mathworld.wolfram.com/PositiveElement.html"
       - "https://en.wikipedia.org/wiki/Positive_and_negative_parts"
       - "https://www.encyclopediaofmath.org/index.php/Positive_element"
    
    - concept: positivitiy-predicate
      arity: 1
      en: positivitiy predicate of $1
      property: prefix
      area: "predicative mathematics"
      mathml:
       - "<math><mrow intent='positivitiy-predicate($a1)'><mo>◊</mo><mi arg='a1'>x</mi></mrow></math>"
      urls: 
       - "https://ncatlab.org/nlab/show/positive+element"
    
    - concept: post-canonical-system
      arity: 3
      en: post canonical system  $1 $2 $3
      property: fenced
      area: "formal languages"
      mathml:
       - "<math><mrow intent='post-canonical-system($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"
       - "https://en.wikipedia.org/wiki/Tag_system"
       - "https://www.encyclopediaofmath.org/index.php/Post_canonical_system"
    
    - concept: power-set
      arity: 1
      en: power set of $1
      property: "function, msup"
      area: "set theory"
      mathml:
       - "<math><mrow intent='power-set($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>"
       - "<math><mrow intent='power-set($a1)'><mi>℘</mi><mi arg='a1'>X</mi></mrow></math>"
       - "<math><msup intent='power-set($a1)'><mn>2</mn><mi arg='a1'>X</mi></msup></math>"
      notationa: "msup 2 $1"
      urls: 
       - "https://mathworld.wolfram.com/PowerSet.html"
       - "https://en.wikipedia.org/wiki/Power_set"
       - "https://ncatlab.org/nlab/show/power+set"
    
    - concept: preregular-space
      arity: 0
      en: preregular space
      property: constant
      area: "topology"
      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"
    
    - concept: present-value
      arity: 0
      en: present value
      property: symbol
      area: "economics"
      mathml:
       - "<math><mi intent='present-value'>PV</mi></math>"
       - "<math><mi intent='present-value'>v</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/PresentValue.html"
       - "https://en.wikipedia.org/wiki/Present_value"
    
    - concept: prime-constant
      arity: 0
      en: prime constant
      property: symbol
      area: "number theory"
      mathml:
       - "<math><mi intent='prime-constant'>P</mi></math>"
       - "<math><mi intent='prime-constant'>ρ</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/PrimeConstant.html"
       - "https://en.wikipedia.org/wiki/Prime_constant"
    
    
    
    - concept: prime-counting-function
      arity: 1
      en: prime counting function of $1
      property: function
      area: "number theory"
      mathml:
       - "<math><mrow intent='prime-counting-function($a1)'><mi>π</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/PrimeCountingFunction.html"
    
    - concept: prime-difference-function
      arity: 1
      en: prime difference function of $1
      property: "indexed function"
      area: "number theory"
      mathml:
       - "<math><mrow intent='prime-difference-function($a1)'><mi>d</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/PrimeDifferenceFunction.html"
    
    - concept: prime-gap
      arity: 1
      en: prime gap of $1
      property: "indexed function"
      area: "number theory"
      mathml:
       - "<math><mrow intent='prime-gap($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: 
       - "https://mathworld.wolfram.com/PrimeGaps.html"
       - "https://en.wikipedia.org/wiki/Prime_gap"
    
    - concept: primorial
      arity: 1
      en: primorial of $1
      property: postfix
      area: "number theory"
      mathml:
       - "<math><mrow intent='primorial($a1)'><mi arg='a1'>x</mi><mo>#</mo></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/Primorial.html"
       - "https://en.wikipedia.org/wiki/Primorial"
    
    - concept: principal-value
      arity: 1
      en: principal value of $1
      property: function
      area: "complex analysis"
      mathml:
       - "<math><mrow intent='principal-value($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"
    
    - concept: probability-limit
      arity: 1
      en: probability limit of $1
      property: "indexed function"
      area: "probability theory"
      mathml:
       - "<math><mrow intent='probability-limit($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"
      alias:
       - convergence-in-probability
    
    - concept: product-integral
      arity: 1
      en: product integral of $1
      property: indexed
      area: "calculus"
      mathml:
       - "<math><mrow intent='product-integral($a1)'><mo>∏</mo><mi arg='a1'>f</mi></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Continuous_product"
       - "https://en.wikipedia.org/wiki/Product_integral"
       - "https://www.encyclopediaofmath.org/index.php/Product_integral"
    
    - concept: product-measure
      arity: 2
      en: product measure
      property: function
      area: "measure theory"
      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"
       - "https://en.wikipedia.org/wiki/Product_measure"
    
    - concept: projective-line
      arity: 1
      en: projective line of $1
      property: function
      area: "projective geometry"
      mathml:
       - "<math><mrow intent='projective-line($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"
       - "https://ncatlab.org/nlab/show/projective+line"
    
    - concept: projective-space
      arity: 0
      en: projective space
      property: symbol
      area: "projective geometry"
      mathml:
       - "<math><mi intent='projective-space'>ℙ</mi></math>"
      notationa: "mi ℝ⁢ ℙ"
      urls: 
       - "https://mathworld.wolfram.com/ProjectiveSpace.html"
       - "https://en.wikipedia.org/wiki/Algebraic_geometry_of_projective_spaces"
       - "https://en.wikipedia.org/wiki/Projective_space"
       - "https://ncatlab.org/nlab/show/projective+space"
       - "https://www.encyclopediaofmath.org/index.php/Projective_space"
      alias:
       - real-projective-space
    
    - concept: proper-subgroup
      arity: 2
      en: $1 proper subgroup $2
      property: infix
      area: "group theory"
      mathml:
       - "<math><mrow intent='proper-subgroup($a1,$a2)'><mi arg='a1'>X</mi><mo>&lt;</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Subgroup"
    
    - concept: proportional
      arity: 2
      en: $1 proportional $2
      property: infix
      area: "arithmetic"
      mathml:
       - "<math><mrow intent='proportional($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: 
       - "https://mathworld.wolfram.com/Proportional.html"
       - "https://en.wikipedia.org/wiki/Proportionality_(mathematics)"
       - "https://en.wikipedia.org/wiki/Proportional_(fair_division)"
      alias:
       - directly-proportional
    
    - concept: prouhet-thue-morse-constant
      arity: 0
      en: prouhet thue morse constant
      property: constant
      area: "number theory"
      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"
    
    - concept: prufer-group
      arity: 1
      en: prufer group of $1
      property: mixfix
      area: "group theory"
      mathml:
       - "<math><mrow intent='prufer-group($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: 
       - "https://en.wikipedia.org/wiki/Pr%C3%BCfer_group"
      alias:
       - quasicyclic-group
    
    - concept: pseudovector
      arity: 1
      en: pseudovector $1
      property: mixfix
      area: "vector calculus"
      mathml:
       - "<math><mrow intent='pseudovector($a1)'><mi arg='a1'>v</mi></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/Pseudovector.html"
       - "https://en.wikipedia.org/wiki/Pseudovector"
      alias:
       - axial-vector
    
    - concept: pseudo-inner-product
      arity: 2
      en: pseudo inner product
      property: fenced
      area: "lie algebra"
      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"
    
    - concept: pullback
      arity: 0
      en: pullback
      property: symbol
      area: "differential geometry"
      mathml:
       - "<math><msup intent='pullback'><mi>φ</mi><mo>*</mo></msup></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Pullback_(differential_geometry)"
    
    - concept: pushforward
      arity: 2
      en: $1 pushforward $2
      property: infix
      area: "differential geometry"
      mathml:
       - "<math><mrow intent='pushforward($a1,$a2)'><mi arg='a1'>X</mi><mo>*</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://youtu.be/mJ8ZDdA10GY?t=2555"
       - "https://en.wikipedia.org/wiki/Pushforward_(differential)"
    
    - concept: pythagoras-constant
      arity: 0
      en: pythagoras constant
      property: constant
      area: "geometry"
      mathml:
       - "<math><msqrt intent='pythagoras-constant'><mn>2</mn></msqrt></math>"
      urls: 
       - "https://mathworld.wolfram.com/PythagorassConstant.html"
       - "https://en.wikipedia.org/wiki/Sqrt(2)"
       - "https://en.wikipedia.org/wiki/%E2%88%9A2"
       - "https://en.wikipedia.org/wiki/Square_root_of_2"
      alias:
       - pythagoras-number
    
    - concept: pythagorean-triple
      arity: 3
      en: pythagorean triple  $1, $2 and $3
      property: fenced
      area: "geometry"
      mathml:
       - "<math><mrow intent='pythagorean-triple($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"
       - "https://en.wikipedia.org/wiki/Pythagorean_triple"
    
    - concept: q-binomial-coefficient
      arity: 3
      en: $3 q binomial coefficient of $1, $2
      property: fenced-stacked
      area: "combinatorics"
      mathml:
       - "<math><msub intent='q-binomial-coefficient($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"
    
    - concept: qed
      arity: 0
      en: qed
      property: symbol
      area: "mathematical symbols"
      mathml:
       - "<math><mo intent='qed'>□</mo></math>"
       - "<math><mo intent='qed'>∎</mo></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Tombstone_(typography)"
      alias:
       - end-of-proof
       - quod-erat-demonstrandum
    
    - concept: quadratic-differential
      arity: 1
      en: quadratic differential of $1
      property: mixfix
      area: "complex manifolds"
      mathml:
       - "<math><mrow intent='quadratic-differential($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: 
       - "https://en.wikipedia.org/wiki/Quadratic_differential"
       - "https://ncatlab.org/nlab/show/quadratic+differential"
       - "https://www.encyclopediaofmath.org/index.php/Quadratic_differential"
    
    - concept: quadratic-variation
      arity: 2
      en: quadratic variation $1 $2
      property: indexed fenced
      area: "stochastic processes"
      mathml:
       - "<math><msub intent='quadratic-variation($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: 
       - "https://en.wikipedia.org/wiki/Quadratic_variation"
    
    - concept: quadrilateral
      arity: 1
      en: quadrilateral of $1
      property: prefix
      area: "geometry"
      mathml:
       - "<math><mrow intent='quadrilateral($a1)'><mo>◻</mo><mi arg='a1'>x</mi></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/Quadrangle.html"
       - "https://en.wikipedia.org/wiki/Quadrilateral"
       - "https://www.encyclopediaofmath.org/index.php/Quadrangle"
      alias:
       - quadrangle
    
    - concept: quotient-group
      arity: 2
      en: $1 quotient group $2
      property: infix
      area: "group theory"
      mathml:
       - "<math><mrow intent='quotient-group($a1,$a2)'><mi arg='a1'>X</mi><mo>/</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/QuotientGroup.html"
       - "https://ncatlab.org/nlab/show/quotient+group"
       - "https://www.encyclopediaofmath.org/index.php/Quotient_group"
    
    - concept: quotient-space
      arity: 2
      en: $1 quotient space $2
      property: infix
      area: "topology"
      mathml:
       - "<math><mrow intent='quotient-space($a1,$a2)'><mi arg='a1'>X</mi><mo>/</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/QuotientSpace.html"
       - "https://en.wikipedia.org/wiki/Quotient_space_(topology)"
       - "https://en.wikipedia.org/wiki/Quotient_space_(linear_algebra)"
       - "https://ncatlab.org/nlab/show/quotient+space"
       - "https://www.encyclopediaofmath.org/index.php/Quotient_space"
      alias:
       - quotient-set
    
    - concept: r-complexity-class
      arity: 0
      en: r complexity class
      property: symbol
      area: "complexity theory"
      mathml:
       - "<math><mi intent='r-complexity-class'>R</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/R.html"
       - "https://en.wikipedia.org/wiki/R_(complexity)"
       - "https://en.wikipedia.org/wiki/R_(cross_section_ratio)"
    
    - concept: racah-polynomial
      arity: 1
      en: racah polynomial of $1
      property: "indexed function"
      area: "special functions"
      mathml:
       - "<math><msub intent='racah-polynomial($a1)'><mi>R</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/RacahPolynomial.html"
       - "https://en.wikipedia.org/wiki/Racah_polynomials"
       - "https://dlmf.nist.gov/18.25#T1.t1.r4"
    
    - concept: radial-mathieu-function
      arity: 1
      en: radial mathieu function of $1
      property: "indexed function"
      area: "special functions"
      mathml:
       - "<math><mrow intent='radial-mathieu-function($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: 
       - "https://dlmf.nist.gov/28.20#iv"
       - "https://dlmf.nist.gov/28.20#E15"
       - "https://dlmf.nist.gov/28.20#E16"
    
    - concept: radical
      arity: 1
      en: radical of $1
      property: function
      area: "number theory"
      mathml:
       - "<math><mrow intent='radical($a1)'><mi>rad</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/Radical.html"
       - "https://en.wikipedia.org/wiki/Radical_of_a_Lie_algebra"
       - "https://en.wikipedia.org/wiki/Radical_of_an_integer"
       - "https://en.wikipedia.org/wiki/Radical_of_a_module"
       - "https://ncatlab.org/nlab/show/radical"
       - "https://www.encyclopediaofmath.org/index.php/Radical"
    
    - concept: radius-vector
      arity: 0
      en: radius vector
      property: symbol
      area: "geometry"
      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>"
      urls: 
       - "https://mathworld.wolfram.com/RadiusVector.html"
       - "https://en.wikipedia.org/wiki/Position_(vector)"
       - "https://www.encyclopediaofmath.org/index.php/Radius_vector"
      alias:
       - location-vector
       - position-vector
       - position
    
    - concept: ramanujan-sum
      arity: 1
      en: ramanujan sum of $1
      property: "indexed function"
      area: "number theory"
      mathml:
       - "<math><msub intent='ramanujan-sum($a1)'><mi>c</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/RamanujansSum.html"
       - "https://dlmf.nist.gov/27.10#E4"
       - "https://www.encyclopediaofmath.org/index.php/Ramanujan_sums"
    
    - concept: ramanujan-tau-function
      arity: 1
      en: ramanujan tau function of $1
      property: function
      area: "number theory"
      mathml:
       - "<math><mrow intent='ramanujan-tau-function($a1)'><mi>τ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/RamanujansTauFunction.html"
       - "https://en.wikipedia.org/wiki/Ramanujan_tau_function"
       - "https://dlmf.nist.gov/27.14#E18"
    
    - concept: ramanujan-soldner-constant
      arity: 0
      en: ramanujan soldner constant
      property: constant
      area: "special functions"
      mathml:
       - "<math><mi intent='ramanujan-soldner-constant'>μ</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/Ramanujan-SoldnerConstant.html"
       - "https://en.wikipedia.org/wiki/Ramanujan%E2%80%93Soldner_constant"
       - "https://mathworld.wolfram.com/SoldnersConstant.html"
      alias:
       - soldner-constant
    
    - concept: ramification-index
      arity: 1
      en: ramification index of $1
      property: msub
      area: "algebraic number theory"
      mathml:
       - "<math><msub intent='ramification-index($a1)'><mi>e</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/RamificationIndex.html"
       - "https://en.wikipedia.org/wiki/Ramification_(mathematics)#In_algebraic_number_theory"
    
    - concept: ramsey-number
      arity: 1
      en: ramsey number of $1
      property: function
      area: "graph theory"
      mathml:
       - "<math><mrow intent='ramsey-number($a1)'><mi>R</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/RamseyNumber.html"
       - "https://www.encyclopediaofmath.org/index.php/Ramsey_number"
    
    - concept: rank
      arity: 1
      en: rank of $1
      property: function
      area: "graph theory, linear algebra, "
      mathml:
       - "<math><mrow intent='rank($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>"
      urls: 
       - "https://mathworld.wolfram.com/Rank.html"
       - "https://en.wikipedia.org/wiki/Rank_(graph_theory)"
       - "https://en.wikipedia.org/wiki/Rank_(linear_algebra)"
       - "https://en.wikipedia.org/wiki/Rank_(differential_topology)"
       - "https://ncatlab.org/nlab/show/rank"
       - "https://www.encyclopediaofmath.org/index.php/Rank"
    
    - concept: real-bipolar
      arity: 1
      en: real bipolar of $1
      property: msup
      area: "functional analysis"
      mathml:
       - "<math><msup intent='real-bipolar($a1)'><mi arg='a1'>A</mi><mo>∘</mo></msup></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Polar_set"
       - "https://en.wikipedia.org/wiki/Polar_set_(potential_theory)"
       - "https://www.encyclopediaofmath.org/index.php/Polar_set"
    
    - concept: real-part
      arity: 1
      en: real part of $1
      property: function
      area: "complex analysis"
      mathml:
       - "<math><mrow intent='real-part($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>"
      urls: 
       - "https://mathworld.wolfram.com/RealPart.html"
       - "https://dlmf.nist.gov/1.9#E2"
       - "https://en.wikipedia.org/wiki/Complex_number#Notation"
    
    - concept: real-prepolar
      arity: 1
      en: real prepolar of $1
      property: prescript
      area: "functional analysis"
      mathml:
       - "<math><mmultiscripts intent='real-prepolar($a1)'><mi arg='a1'>B</mi><mprescripts/><mrow/><mo>∘</mo></mmultiscripts></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Polar_set"
       - "https://en.wikipedia.org/wiki/Polar_set_(potential_theory)"
       - "https://www.encyclopediaofmath.org/index.php/Polar_set"
    
    - concept: real-polar
      arity: 1
      en: real polar of $1
      property: msup
      area: "functional analysis"
      mathml:
       - "<math><msup intent='real-polar($a1)'><mi arg='a1'>X</mi><mi>r</mi></msup></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Polar_set"
       - "https://en.wikipedia.org/wiki/Polar_set_(potential_theory)"
       - "https://www.encyclopediaofmath.org/index.php/Polar_set"
    
    - concept: recession-cone
      arity: 1
      en: recession cone of $1
      property: function
      area: "convex analysis"
      mathml:
       - "<math><mrow intent='recession-cone($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"
    
    - concept: reciprocal-polynomial
      arity: 1
      en: reciprocal polynomial of $1
      property: msup
      area: "algebra"
      mathml:
       - "<math><msup intent='reciprocal-polynomial($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: 
       - "https://mathworld.wolfram.com/ReciprocalPolynomial.html"
       - "https://en.wikipedia.org/wiki/Reciprocal_polynomial"
      alias:
       - reflected-polynomial
    
    - concept: rectification
      arity: 1
      en: rectification of $1
      property: function
      area: "euclidean geometry"
      mathml:
       - "<math><mrow intent='rectification($a1)'><mi>r</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/Rectification.html"
       - "https://en.wikipedia.org/wiki/Rectification_(geometry)"
       - "https://ncatlab.org/nlab/show/rectification"
    
    - concept: reduced-suspension
      arity: 1
      en: reduced suspension of $1
      property: function
      area: "topology"
      mathml:
       - "<math><mrow intent='reduced-suspension($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)"
    
    - concept: relative-homology
      arity: 1
      en: relative homology of $1
      property: "indexed function"
      area: "algebraic topology"
      mathml:
       - "<math><mrow intent='relative-homology($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"
       - "https://ncatlab.org/nlab/show/relative+homology"
       - "https://www.encyclopediaofmath.org/index.php/Relative_homology"
    
    - concept: repunit
      arity: 1
      en: repunit of $1
      property: "indexed symbol"
      area: "number theory"
      mathml:
       - "<math><mrow intent='repunit($a1)'><mi>R</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/Repunit.html"
       - "https://en.wikipedia.org/wiki/Repunit"
       - "https://en.wikipedia.org/wiki/Repunit_prime"
    
    - concept: residue
      arity: 1
      en: residue of $1
      property: function
      area: "complex analysis"
      mathml:
       - "<math><mrow intent='residue($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: 
       - "https://mathworld.wolfram.com/Residue.html"
       - "https://en.wikipedia.org/wiki/Residue_(complex_analysis)"
       - "https://dlmf.nist.gov/1.10#SS3.p5"
    
    - concept: resolvent
      arity: 1
      en: resolvent
      property: "indexed function"
      area: "galois theory"
      mathml:
       - "<math><msub intent='resolvent($a1)'><mi>R</mi><mi arg='a1'>G</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/Resolvent.html"
       - "https://en.wikipedia.org/wiki/Resolvent_(Galois_theory)"
       - "https://www.encyclopediaofmath.org/index.php/Resolvent"
    
    - concept: resolvent-set
      arity: 1
      en: resolvent set of $1
      property: function
      area: "set theory"
      mathml:
       - "<math><mrow intent='resolvent-set($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"
       - "https://www.encyclopediaofmath.org/index.php/Resolvent_set"
    
    - concept: restricted-quantifier
      arity: 2
      en: restricted quantifier $1 $2
      property: mixfix
      area: "formal logic"
      mathml:
       - "<math><mrow intent='restricted-quantifier($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: 
       - "https://www.encyclopediaofmath.org/index.php/Restricted_quantifier"
       - "https://human.libretexts.org/Bookshelves/Philosophy/Book%3A_A_Modern_Formal_Logic_Primer_(Teller)/Volume_II%3A_Predicate_Logic/4%3A_Transcription/4.1%3A_Restricted_Quantifiers"
    
    - concept: restricted-wreath-product
      arity: 2
      en: $1 restricted wreath product $2
      property: infix
      area: "group theory"
      mathml:
       - "<math><mrow intent='restricted-wreath-product($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: 
       - "https://mathworld.wolfram.com/WreathProduct.html"
       - "https://en.wikipedia.org/wiki/Wreath_product"
       - "https://ncatlab.org/nlab/show/wreath+product"
       - "https://www.encyclopediaofmath.org/index.php/Wreath_product"
    
    - concept: restriction
      arity: 2
      en: restriction
      property: indexed postfix
      area: "elementary mathematics"
      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: 
       - "https://en.wikipedia.org/wiki/Restricted_representation"
       - "https://en.wikipedia.org/wiki/Restriction_(mathematics)"
       - "https://en.wikipedia.org/wiki/Selection_(relational_algebra)"
       - "https://ncatlab.org/nlab/show/restriction"
    
    - concept: resultant
      arity: 1
      en: resultant of $1
      property: function
      area: "polynomials"
      mathml:
       - "<math><mrow intent='resultant($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: 
       - "https://mathworld.wolfram.com/Resultant.html"
       - "https://en.wikipedia.org/wiki/Resultant"
       - "https://ncatlab.org/nlab/show/resultant"
       - "https://www.encyclopediaofmath.org/index.php/Resultant"
      alias:
       - eliminant
    
    - concept: rewrite-rule
      arity: 2
      en: $1 rewrite rule $2
      property: infix
      area: "logic"
      mathml:
       - "<math><mrow intent='rewrite-rule($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"
      alias:
       - rewrite-relation
    
    - concept: reynolds-number
      arity: 0
      en: reynolds number
      property: symbol
      area: "fluid dynamics"
      mathml:
       - "<math><mi intent='reynolds-number'>Re</mi></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Reynolds_number"
    
    - concept: ricci-scalar
      arity: 0
      en: ricci scalar
      property: symbol
      area: "riemannian geometry"
      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>"
      urls: 
       - "https://mathworld.wolfram.com/RicciScalar.html"
       - "https://en.wikipedia.org/wiki/Scalar_curvature"
      alias:
       - scalar-curvature
    
    - concept: ricci-tensor
      arity: 1
      en: ricci tensor of $1
      property: "indexed symbol"
      area: "riemannian geometry"
      mathml:
       - "<math><mrow intent='ricci-tensor($a1)'><mi>R</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/RicciTensor.html"
       - "https://www.encyclopediaofmath.org/index.php/Ricci_tensor"
    
    - concept: riemann-integral
      arity: 1
      en: riemann integral of $1
      property: indexed
      area: "calculus"
      mathml:
       - "<math><mrow intent='riemann-integral($a1)'><mo>∫</mo><mi arg='a1'>f</mi></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/RiemannIntegral.html"
       - "https://en.wikipedia.org/wiki/Lebesgue_integrability_condition"
       - "https://en.wikipedia.org/wiki/Riemann_integral"
       - "https://www.encyclopediaofmath.org/index.php/Riemann_integral"
    
    
    - concept: riemann-sphere
      arity: 0
      en: riemann sphere
      property: scripted symbol
      area: "projective geometry"
      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>"
      urls: 
       - "https://mathworld.wolfram.com/RiemannSphere.html"
       - "https://en.wikipedia.org/wiki/Riemann_sphere"
       - "https://ncatlab.org/nlab/show/Riemann+sphere"
       - "https://www.encyclopediaofmath.org/index.php/Riemann_sphere"
      alias:
       - extended-complex-numbers
       - extended-complex-plane
    
    - concept: riemann-theta-function
      arity: 1
      en: riemann theta function of $1
      property: function
      area: "special functions"
      mathml:
       - "<math><mrow intent='riemann-theta-function($a1)'><mi>θ⁡</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/RiemannThetaFunction.html"
       - "https://dlmf.nist.gov/21.2#i"
       - "https://dlmf.nist.gov/21.2#E1"
    
    - concept: riemann-zeta-function
      arity: 1
      en: riemann zeta function of $1
      property: function
      area: "special functions"
      mathml:
       - "<math><mrow intent='riemann-zeta-function($a1)'><mi>ζ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/RiemannZetaFunction.html"
       - "https://en.wikipedia.org/wiki/%CE%96(x)"
       - "https://en.wikipedia.org/wiki/Riemann_zeta_function"
       - "https://dlmf.nist.gov/25.1"
       - "https://dlmf.nist.gov/25.2#E1"
      alias:
       - euler-riemann-zeta-function
    
    - concept: riemann-christoffel-tensor
      arity: 1
      en: riemann christoffel tensor of $1
      property: "indexed function"
      area: "riemannian geometry"
      mathml:
       - "<math><mrow intent='riemann-christoffel-tensor($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"
       - "https://en.wikipedia.org/wiki/Riemann_curvature_tensor"
       - "https://www.encyclopediaofmath.org/index.php/Riemann-Christoffel_tensor"
       - "https://www.encyclopediaofmath.org/index.php/RiemannâXXXXChristoffel_tensor"
      alias:
       - riemann-curvature-tensor
    
    - concept: riemann-stieltje-integral
      arity: 1
      en: riemann stieltje integral of $1
      property: indexed
      area: "measure theory"
      mathml:
       - "<math><mrow intent='riemann-stieltje-integral($a1)'><mo>∫</mo><mi arg='a1'>f</mi></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/Riemann-StieltjesIntegral.html"
       - "https://en.wikipedia.org/wiki/%E2%88%AB_f_d%CE%B1"
       - "https://en.wikipedia.org/wiki/%E2%88%ABfd%CE%B1"
       - "https://en.wikipedia.org/wiki/Riemann%E2%80%93Stieltjes_integral"
       - "https://www.encyclopediaofmath.org/index.php/Riemann-Stieltjes_integral"
       - "https://www.encyclopediaofmath.org/index.php/RiemannâXXXXStieltjes_integral"
      alias:
       - stieltje-integral
    
    - concept: right-angle
      arity: 1
      en: right angle of $1
      property: prefix
      area: "geometry"
      mathml:
       - "<math><mrow intent='right-angle($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>"
       - "<math><mrow intent='right-angle($a1)'><mo>⦝</mo><mi arg='a1'>x</mi></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/RightAngle.html"
       - "https://en.wikipedia.org/wiki/Right_angle"
    
    - concept: right-derivative
      arity: 1
      en: right derivative of $1
      property: operator
      area: "calculus"
      mathml:
       - "<math><msub intent='right-derivative($a1)'><mo>∂</mo><mo>+</mo></msub><mi arg='a1'>f</mi></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Left_and_right_derivative"
    
    - concept: right-quotient
      arity: 2
      en: $1 right quotient $2
      property: infix
      area: "formal languages"
      mathml:
       - "<math><mrow intent='right-quotient($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"
    
    - concept: ring-of-formal-power-series
      arity: 2
      en: ring of formal power series $1 $2
      property: mixfix
      area: "ring theory"
      mathml:
       - "<math><mrow intent='ring-of-formal-power-series($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"
    
    - concept: rising-factorial
      arity: 2
      en: #2<i>th</i> rising factorial of  $1
      property: mixfix
      area: "combinatorics"
      mathml:
        - "<math><msup intent='rising-factorial($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: 
       - "https://en.wikipedia.org/wiki/Falling_and_rising_factorials"
       - "https://mathworld.wolfram.com/RisingFactorial.html"
       - "https://dlmf.nist.gov/26.1#P1.p1"
      alias:
       - pochhammer-function
       - pochhammer-polynomial
       - ascending-factorial
       - rising-sequential-product
       - upper-factorial
    
    - concept: roman-numeral
      arity: 0
      en: roman numeral
      property: symbol
      area: "number theory"
      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>"
       - "<math><mi intent='roman-numeral'>iv</mi></math>"
       - "<math><mi intent='roman-numeral'>v</mi></math>"
       - "<math><mi intent='roman-numeral'>vi</mi></math>"
       - "<math><mi intent='roman-numeral'>vii</mi></math>"
       - "<math><mi intent='roman-numeral'>viii</mi></math>"
       - "<math><mi intent='roman-numeral'>ix</mi></math>"
       - "<math><mi intent='roman-numeral'>x</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/RomanNumerals.html"
       - "https://en.wikipedia.org/wiki/Roman_numerals"
       - "https://www.encyclopediaofmath.org/index.php/Roman_numerals"
    
    - concept: roof
      arity: 3
      en: roof of $1, $2 and $3
      property: mixfix
      area: "category theory"
      mathml:
       - "<math><mrow intent='roof($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)"
       - "https://ncatlab.org/nlab/show/span"
      alias:
       - span
       - correspondence
    
    - concept: root-of-unity
      arity: 0
      en: root of unity
      property: symbol
      area: "complex numbers"
      mathml:
       - "<math><mi intent='root-of-unity'>ω</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/RootofUnity.html"
       - "https://en.wikipedia.org/wiki/Root_of_unity"
       - "https://ncatlab.org/nlab/show/root+of+unity"
    
    - concept: root-mean-square
      arity: 1
      en: root mean square of $1
      property: msub
      area: "means"
      mathml:
       - "<math><msub intent='root-mean-square($a1)'><mi arg='a1'>G</mi><mi>RMS</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/Root-Mean-Square.html"
      alias:
       - rms
       - quadratic-mean
    
    - concept: rooted-product-of-graphs
      arity: 2
      en: $1 rooted product of graphs $2
      property: infix
      area: "graph theory"
      mathml:
       - "<math><mrow intent='rooted-product-of-graphs($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"
    
    - concept: ruark-number
      arity: 0
      en: ruark number
      property: symbol
      area: "physics"
      mathml:
       - "<math><mi intent='ruark-number'>Ru</mi></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Euler_number_(physics)"
    
    - concept: s-set-theory
      arity: 0
      en: s set theory
      property: constant
      area: "set theory"
      mathml:
       - "<math><mi intent='s-set-theory'>S</mi></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/S_(set_theory)"
    
    - concept: s5-modal-logic
      arity: 0
      en: s5 modal logic
      property: constant
      area: "logic"
      mathml:
       - "<math><mi intent='s5-modal-logic'>S5</mi></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/S5_(modal_logic)"
    
    - concept: sample-space
      arity: 0
      en: sample space
      property: symbol
      area: "probability theory"
      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>"
      urls: 
       - "https://mathworld.wolfram.com/SampleSpace.html"
       - "https://en.wikipedia.org/wiki/Sample_space"
       - "https://www.encyclopediaofmath.org/index.php/Sample_space"
    
    - concept: sample-variance
      arity: 1
      en: sample variance of $1
      property: embellished symbol
      area: "probability theory"
      mathml:
       - "<math><msubsup intent='sample-variance($a1)'><mi>S</mi><mi arg='a1'>y</mi><mn>2</mn></msubsup></math>"
      urls: 
       - "https://mathworld.wolfram.com/SampleVariance.html"
       - "https://www.encyclopediaofmath.org/index.php/Sample_variance"
       - "https://en.wikipedia.org/wiki/Variance#Sample_variance"
    
    - concept: scalar-triple-product
      arity: 3
      en: scalar triple product  of $1, $2 and $3
      property: mixfix, fenced
      area: "vector algebra"
      mathml:
       - "<math><mrow intent='scalar-triple-product($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: 
       - "https://mathworld.wolfram.com/ScalarTripleProduct.html"
       - "https://en.wikipedia.org/wiki/Triple_product"
    
    - concept: scaled-riemann-theta-function
      arity: 1
      en: scaled riemann theta function of $1
      property: mover
      area: "special functions"
      mathml:
       - "<math><mrow intent='scaled-riemann-theta-function($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"
       - "https://dlmf.nist.gov/21.2#E1"

    - concept: schlaefli-symbol
      arity: ">=0"
      en: schlaefli symbol of $1, ...
      property: fenced
      area: "geometry"
      mathml:
       - "<math><mrow intent='schlaefli-symbol($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"
    
    - concept: schroder-number
      arity: 1
      en: schroder number of $1
      property: "indexed symbol"
      area: "combinatorics"
      mathml:
       - "<math><msub intent='schroder-number($a1)'><mi>S</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/SchroederNumber.html"
       - "https://en.wikipedia.org/wiki/Schr%C3%B6der_number"
       - "https://dlmf.nist.gov/26.6#E4"
    
    - concept: schur-multiplier
      arity: 1
      en: schur multiplier of $1
      property: function
      area: "group theory"
      mathml:
       - "<math><mrow intent='schur-multiplier($a1)'><mi>M</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/SchurMultiplier.html"
       - "https://en.wikipedia.org/wiki/Schur_multiplier"
       - "https://en.wikipedia.org/wiki/Schur_cover"
      alias:
       - schur-multiplicator
    
    - concept: schwartz-space
      arity: 0
      en: schwartz space
      property: symbol
      area: "topology"
      mathml:
       - "<math><mi intent='schwartz-space'>𝒮</mi></math>"
       - "<math><mi intent='schwartz-space'>S</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/SchwartzSpace.html"
       - "https://en.wikipedia.org/wiki/Schwartz_space"
       - "https://ncatlab.org/nlab/show/Schwartz+space"
    
    - concept: schwarzian-derivative
      arity: 2
      en: schwarzian derivative $1 $2
      property: fenced, mixfix
      area: "complex analysis"
      mathml:
       - "<math><mrow intent='schwarzian-derivative($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: 
       - "https://mathworld.wolfram.com/SchwarzianDerivative.html"
       - "https://en.wikipedia.org/wiki/Schwarzian_derivative"
       - "https://dlmf.nist.gov/1.13#E20"
       - "https://www.encyclopediaofmath.org/index.php/Schwarzian_derivative"
    
    - concept: second-carmichael-function
      arity: 1
      en: second carmichael function of $1
      property: function
      area: "number theory"
      mathml:
       - "<math><mrow intent='second-carmichael-function($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"
       - "https://en.wikipedia.org/wiki/Carmichael_function"
    
    - concept: sectional-curvature
      arity: 1
      en: sectional curvature of $1
      property: function
      area: "riemannian geometry"
      mathml:
       - "<math><mrow intent='sectional-curvature($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: 
       - "https://mathworld.wolfram.com/SectionalCurvature.html"
       - "https://en.wikipedia.org/wiki/Sectional_curvature"
       - "https://www.encyclopediaofmath.org/index.php/Sectional_curvature"
    
    - concept: sedenion
      arity: 0
      en: sedenion
      property: symbol
      area: "abstract algebra"
      mathml:
       - "<math><mi intent='sedenion'>𝕊</mi></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Sedenion"
       - "https://ncatlab.org/nlab/show/sedenion"
    
    - concept: selection
      arity: 3
      en: selection
      property: "indexed function"
      area: "relational algebra"
      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)"
    
    - concept: seminorm
      arity: 1
      en: seminorm of $1
      property: fenced
      area: "linear algebra"
      mathml:
       - "<math><mrow intent='seminorm($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: 
       - "https://mathworld.wolfram.com/Seminorm.html"
       - "https://en.wikipedia.org/wiki/Norm_(mathematics)"
      alias:
       - pseudonorm
    
    - concept: set-of-invertible-maps
      arity: 1
      en: set of invertible maps of $1
      property: prefix
      area: "commutative algebra"
      mathml:
       - "<math><mrow intent='set-of-invertible-maps($a1)'><mo>!</mo><mi arg='a1'>x</mi></mrow></math>"
      urls: 
       - "https://arxiv.org/abs/2009.015866"
    
    - concept: shannon-entropy
      arity: 0
      en: shannon entropy
      property: symbol
      area: "information theory"
      mathml:
       - "<math><mi intent='shannon-entropy'>H</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/ShannonEntropy.html"
       - "https://en.wikipedia.org/wiki/Entropy_(information_theory)"
       - "https://ncatlab.org/nlab/show/entropy"
       - "https://www.encyclopediaofmath.org/index.php/Entropy"
      alias:
       - entropy
    
    - concept: shift-operator
      arity: 1
      en: shift operator of $1
      property: operator
      area: "functional analysis"
      mathml:
       - "<math><mrow intent='shift-operator($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"
       - "https://en.wikipedia.org/wiki/Shift_operator"
       - "https://www.encyclopediaofmath.org/index.php/Shift_operator"
      alias:
       - translation-operator
       - lag-operator
    
    - concept: shimura-variety
      arity: 1
      en: shimura variety of $1
      property: function
      area: "algebraic geometry"
      mathml:
       - "<math><mrow intent='shimura-variety($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"
       - "https://ncatlab.org/nlab/show/Shimura+variety"
       - "https://www.encyclopediaofmath.org/index.php/Shimura_variety"
    
    - concept: short-exact-sequence
      arity: 3
      en: short exact sequence $1 $2 $3
      property: mixfix
      area: "group theory"
      mathml:
       - "<math><mrow intent='short-exact-sequence($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"
       - "https://en.wikipedia.org/wiki/Exact_sequence"
    
    - concept: short-rate
      arity: 0
      en: short rate
      property: symbol
      area: "mathematical finance"
      mathml:
       - "<math><msub intent='short-rate'><mi>r</mi><mi>t</mi></msub></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Short_rate"
       - "https://en.wikipedia.org/wiki/Short-rate_model"
       - "https://en.wikipedia.org/wiki/Kalotay%E2%80%93Williams%E2%80%93Fabozzi_model"
       - "https://en.wikipedia.org/wiki/Longstaff%E2%80%93Schwartz_model"
    
    - concept: sidon-sequence
      arity: 0
      en: sidon sequence
      property: symbol
      area: "combinatorics"
      mathml:
       - "<math><mi intent='sidon-sequence'>A</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/SidonSequence.html"
       - "https://en.wikipedia.org/wiki/Sidon_sequence"
      alias:
       - sidon-set
    
    - concept: sign-function
      arity: 1
      en: sign function of $1
      property: function
      area: "special-functions"
      mathml:
       - "<math><mrow intent='sign-function($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"
      alias:
       - signum-function
    
    - concept: signature-of-permutation
      arity: 1
      en: signature of permutation of $1
      property: function
      area: "combinatorics"
      mathml:
       - "<math><mrow intent='signature-of-permutation($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"
      alias:
       - sign-of-permutation
    
    - concept: silver-ratio
      arity: 0
      en: silver ratio
      property: constant
      area: "number theory"
      mathml:
       - "<math><msub intent='silver-ratio'><mi>δ</mi><mi>S</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/SilverRatio.html"
       - "https://en.wikipedia.org/wiki/Silver_ratio"
       - "https://en.wikipedia.org/wiki/Silver_rectangle"
    
    - concept: similar
      arity: 2
      en: $1 similar $2
      property: infix
      area: "geometry"
      mathml:
       - "<math><mrow intent='similar($a1,$a2)'><mi arg='a1'>X</mi><mo>~</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/Similar.html"
       - "https://en.wikipedia.org/wiki/Matrix_similarity"
       - "https://en.wikipedia.org/wiki/Similarity_(geometry)"
    
    - concept: simplex
      arity: 1
      en: $1 simplex 
      property: "indexed symbol"
      area: "geometry"
      mathml:
       - "<math><msup intent='simplex($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: 
       - "https://mathworld.wolfram.com/Simplex.html"
       - "https://en.wikipedia.org/wiki/Simplex"
       - "https://ncatlab.org/nlab/show/simplex"
       - "https://www.encyclopediaofmath.org/index.php/Simplex"
    
    - concept: sinc-function
      arity: 1
      en: sinc function of $1
      property: function
      area: "special functions"
      mathml:
       - "<math><mrow intent='sinc-function($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: 
       - "https://mathworld.wolfram.com/SincFunction.html"
       - "https://en.wikipedia.org/wiki/Sinc_function"
       - "https://dlmf.nist.gov/3.3#SS6.p2"
    
    - concept: sine-integral
      arity: 1
      en: sine integral of $1
      property: operator
      area: "special functions"
      mathml:
       - "<math><mrow intent='sine-integral($a1)'><mi>Si</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/SineIntegral.html"
       - "https://dlmf.nist.gov/6.2#ii"
       - "https://dlmf.nist.gov/6.2#E9"
       - "https://dlmf.nist.gov/6.2#E10"
    
    - concept: size-of-test
      arity: 0
      en: size of test
      property: symbol
      area: "statistics"
      mathml:
       - "<math><mi intent='size-of-test'>α</mi></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Size_(statistics)"
    
    - concept: skewes-number
      arity: 1
      en: skewes number of $1
      property: "indexed symbol"
      area: "number theory"
      mathml:
       - "<math><msub intent='skewes-number($a1)'><mi>Sk</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/SkewesNumber.html"
       - "https://en.wikipedia.org/wiki/Skewes%27_number"
    
    - concept: small-o
      arity: 1
      en: small o of $1
      property: prefix
      area: "complexity"
      mathml:
       - "<math><mrow intent='small-o($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"
       - "https://mathworld.wolfram.com/o.html"
    
    - concept: smith-number
      arity: 1
      en: smith number of $1
      property: "indexed symbol"
      area: "number theory"
      mathml:
       - "<math><mrow intent='smith-number($a1)'><mi>S</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/SmithNumber.html"
       - "https://en.wikipedia.org/wiki/Smith_number"
    
    - concept: sobolev-space
      arity: 2
      en: sobolev space
      property: "indexed symbol"
      area: "fourier analysis"
      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"
       - "https://en.wikipedia.org/wiki/Sobolev_space"
       - "https://ncatlab.org/nlab/show/Sobolev+space"
       - "https://www.encyclopediaofmath.org/index.php/Sobolev_space"
    
    - concept: socle
      arity: 1
      en: socle of $1
      property: function
      area: "group theory"
      mathml:
       - "<math><mrow intent='socle($a1)'><mi>soc</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/Socle.html"
       - "https://en.wikipedia.org/wiki/Socle_(mathematics)"
       - "https://ncatlab.org/nlab/show/socle"
       - "https://www.encyclopediaofmath.org/index.php/Socle"
    
    - concept: soft-o
      arity: 0
      en: soft o
      property: symbol
      area: "complexity theory"
      mathml:
       - "<math><mi intent='soft-o'>Õ</mi></math>"
      urls: 
      alias:
       - Extensions_to_the_Bachmann–Landau_notations
    
    - concept: solid-angle
      arity: 0
      en: solid angle
      property: symbol
      area: "geometry"
      mathml:
       - "<math><mi intent='solid-angle'>Ω</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/SolidAngle.html"
       - "https://en.wikipedia.org/wiki/Solid_angle"
       - "https://www.encyclopediaofmath.org/index.php/Solid_angle"
    
    - concept: span
      arity: 1
      en: $1 span
      property: unit
      area: "imperial units"
      mathml:
       - "<math><mrow intent='span($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)"
    
    - concept: special-linear-group
      arity: 1
      en: special linear group of $1
      property: "indexed function"
      area: "group theory"
      mathml:
       - "<math><msub intent='special-linear-group($a1)'><mi>SL</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/SpecialLinearGroup.html"
       - "https://en.wikipedia.org/wiki/Special_linear_group"
       - "https://ncatlab.org/nlab/show/special+linear+group"
       - "https://www.encyclopediaofmath.org/index.php/Special_linear_group"
    
    - concept: special-orthogonal-group
      arity: 1
      en: special orthogonal group of $1
      property: "indexed function"
      area: "group theory"
      mathml:
       - "<math><mrow intent='special-orthogonal-group($a1)'><mi>SO</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/SpecialOrthogonalGroup.html"
       - "https://ncatlab.org/nlab/show/special+orthogonal+group"
    
    - concept: special-unitary-group
      arity: 1
      en: special unitary group of $1
      property: function
      area: "lie groups"
      mathml:
       - "<math><mrow intent='special-unitary-group($a1)'><mi>SU</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/SpecialUnitaryGroup.html"
       - "https://en.wikipedia.org/wiki/Special_unitary_group"
       - "https://ncatlab.org/nlab/show/special+unitary+group"
    
    - concept: spectral-radius
      arity: 1
      en: spectral radius of $1
      property: function
      area: "spectral theory"
      mathml:
       - "<math><mrow intent='spectral-radius($a1)'><mi>ρ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/SpectralRadius.html"
       - "https://en.wikipedia.org/wiki/Spectral_radius"
       - "https://www.encyclopediaofmath.org/index.php/Spectral_radius"
    
    - concept: spectrum
      arity: 1
      en: spectrum of $1
      property: function
      area: "functional analysis"
      mathml:
       - "<math><mrow intent='spectrum($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)"
    
    - concept: spectrum-category
      arity: 0
      en: spectrum category
      property: symbol
      area: "category theory"
      mathml:
       - "<math><mi intent='spectrum-category'>Sp</mi></math>"
      urls: 
       - "https://ncatlab.org/nlab/show/Spectrum"
    
    - concept: spectrum-of-matrix
      arity: 1
      en: spectrum of matrix of $1
      property: msub
      area: "linear algebra"
      mathml:
       - "<math><msub intent='spectrum-of-matrix($a1)'><mi>σ</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Spectrum_of_a_matrix"
    
    - concept: spectrum-of-algebra
      arity: 1
      en: spectrum of algebra of $1
      property: mover
      area: "algebra"
      mathml:
       - "<math><mover intent='spectrum-of-algebra($a1)'><mi arg='a1'>A</mi><mo>^</mo></mover></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Spectrum_of_a_C*-algebra"
    
    - concept: spectrum-of-ring
      arity: 1
      en: spectrum of ring of $1
      property: function
      area: "group theory"
      mathml:
       - "<math><mrow intent='spectrum-of-ring($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"
    
    - concept: spherical-bessel-function-of-third-kind
      arity: 2
      en: spherical bessel function of third kind
      property: "indexed function"
      area: "special functions"
      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: 
       - "https://mathworld.wolfram.com/SphericalBesselFunctionoftheThirdKind.html"
       - "https://dlmf.nist.gov/10.47#E5"
       - "https://dlmf.nist.gov/10.47#E6"
    
    - concept: spherical-coordinate
      arity: 3
      en: spherical coordinate
      property: fenced
      area: "geometry"
      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"
       - "https://www.encyclopediaofmath.org/index.php/Spherical_coordinates"
    
    - concept: spin-angular-momentum
      arity: 0
      en: spin angular momentum
      property: symbol
      area: "quantum mechanics"
      mathml:
       - "<math><mi intent='spin-angular-momentum'>S</mi></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Spin_(physics)"
    
    - concept: spin-group
      arity: 0
      en: spin group
      property: symbol
      area: "group theory"
      mathml:
       - "<math><mi intent='spin-group'>Spin</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/SpinGroup.html"
       - "https://en.wikipedia.org/wiki/Spin_group"
       - "https://ncatlab.org/nlab/show/spin+group"
       - "https://www.encyclopediaofmath.org/index.php/Spin_group"
    
    - concept: spin-quantum-number
      arity: 0
      en: spin quantum number
      property: symbol
      area: "quantum mechanics"
      mathml:
       - "<math><mi intent='spin-quantum-number'>s</mi></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Spin_(physics)"
    
    - concept: square
      arity: 4
      en: "square $1 $2 $3 $4"
      property: prefix
      area: "geometry"
      mathml:
       - "<math><mrow intent='square($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"
       - "https://en.wikipedia.org/wiki/Square"
    
    - concept: stable-distribution
      arity: 0
      en: stable distribution
      property: symbol
      area: "probability theory"
      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: 
       - "https://mathworld.wolfram.com/StableDistribution.html"
       - "https://en.wikipedia.org/wiki/Stable_distribution"
       - "https://www.encyclopediaofmath.org/index.php/Stable_distribution"
    
    - concept: stalk
      arity: 2
      en: stalk of $1 at $2
      property: msub
      area: "sheaf theory"
      mathml:
       - "<math><msub intent='stalk($a1,$a2)'><mi arg='a1'>ℱ</mi><mi arg='a2'>x</mi></msub></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Stalk_(sheaf)"
    
    - concept: standard-deviation
      arity: 0
      en: standard deviation
      property: symbol
      area: "probability theory"
      mathml:
       - "<math><mi intent='standard-deviation'>σ</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/StandardDeviation.html"
       - "https://en.wikipedia.org/wiki/Standard_deviation"
       - "https://en.wikipedia.org/wiki/Sample_standard_deviation"
       - "https://www.encyclopediaofmath.org/index.php/Standard_deviation"
    
    - concept: standard-flattening
      arity: 1
      en: standard flattening of $1
      property: "indexed symbol"
      area: "multilinear algebra"
      mathml:
       - "<math><msub intent='standard-flattening($a1)'><mi>𝐀</mi><mrow><mo>[</mo><mi arg='a1'>m</mi><mo>]</mo></mrow></msub></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Matricization"
      alias:
       - matricization
       - unfolding
    
    - concept: stanley-reisner-ring
      arity: 2
      en: stanley reisner ring $1 $2
      property: mixfix
      area: "commutative algebra"
      mathml:
       - "<math><mrow intent='stanley-reisner-ring($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"
       - "https://www.encyclopediaofmath.org/index.php/Stanley-Reisner_ring"
       - "https://www.encyclopediaofmath.org/index.php/StanleyâXXXXReisner_ring"
      alias:
       - face-ring
    
    - concept: stanley-reisner-ideal
      arity: 1
      en: stanley reisner ideal of $1
      property: msub
      area: "commutative algebra"
      mathml:
       - "<math><msub intent='stanley-reisner-ideal($a1)'><mi>I</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Stanley%E2%80%93Reisner_ring"
       - "https://www.encyclopediaofmath.org/index.php/Stanley-Reisner_ring"
       - "https://www.encyclopediaofmath.org/index.php/StanleyâXXXXReisner_ring"
      alias:
       - face-ideal
    
    - concept: star-game
      arity: 0
      en: star
      property: constant
      area: "combinatorial game theory"
      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: 
       - "https://en.wikipedia.org/wiki/Star_(game_theory)"
    
    - concept: star-height
      arity: 1
      en: star height of $1
      property: function
      area: "formal languages"
      mathml:
       - "<math><mrow intent='star-height($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"
    
    - concept: steinberg-group
      arity: 1
      en: steinberg group of $1
      property: function
      area: "k-theory"
      mathml:
       - "<math><mrow intent='steinberg-group($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"
       - "https://en.wikipedia.org/wiki/Steinberg_group_(K-theory)"
       - "https://ncatlab.org/nlab/show/Steinberg+group"
    
    - concept: stiefel-manifold
      arity: 2
      en: $1<i>th</i> stiefel manifold over $2
      property: mixfix
      area: "differential geometry"
      mathml:
       - "<math><mrow intent='stiefel-manifold($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: 
       - "https://mathworld.wolfram.com/StiefelManifold.html"
       - "https://en.wikipedia.org/wiki/Stiefel_manifold"
       - "https://www.encyclopediaofmath.org/index.php/Stiefel_manifold"
    
    - concept: stiefel-whitney-class
      arity: 1
      en: stiefel whitney class of $1
      property: function
      area: "algebraic topology"
      mathml:
       - "<math><mrow intent='stiefel-whitney-class($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"
       - "https://en.wikipedia.org/wiki/Stiefel%E2%80%93Whitney_class"
       - "https://ncatlab.org/nlab/show/Stiefel-Whitney+class"
       - "https://www.encyclopediaofmath.org/index.php/Stiefel-Whitney_class"
       - "https://www.encyclopediaofmath.org/index.php/StiefelâXXXXWhitney_class"
    
    - concept: stieltjes-wigert-polynomial
      arity: 1
      en: stieltjes wigert polynomial of $1
      property: "indexed function"
      area: "special functions"
      mathml:
       - "<math><msub intent='stieltjes-wigert-polynomial($a1)'><mi>S</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/Stieltjes-WigertPolynomial.html"
       - "https://en.wikipedia.org/wiki/Stieltjes%E2%80%93Wigert_polynomials"
       - "https://dlmf.nist.gov/18.27#E18"
    
    - concept: stirling-number-of-first-kind
      arity: 1
      en: stirling number of first kind of $1
      property: function
      area: "special functions"
      mathml:
       - "<math><mrow intent='stirling-number-of-first-kind($a1)'><mi>s</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/StirlingNumberoftheFirstKind.html"
       - "https://en.wikipedia.org/wiki/Stirling_numbers_of_the_first_kind"
       - "https://dlmf.nist.gov/26.8#SS1.p1"
    
    - concept: stirling-number-of-second-kind
      arity: 1
      en: stirling number of second kind of $1
      property: function
      area: "special functions"
      mathml:
       - "<math><mrow intent='stirling-number-of-second-kind($a1)'><mi>S</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/StirlingNumberoftheSecondKind.html"
       - "https://en.wikipedia.org/wiki/Stirling_numbers_of_the_second_kind"
       - "https://dlmf.nist.gov/26.8#SS1.p3"
    
    - concept: strength-of-a-graph
      arity: 1
      en: strength of a graph of $1
      property: function
      area: "graph theory"
      mathml:
       - "<math><mrow intent='strength-of-a-graph($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"
      alias:
       - strength
    
    - concept: string-concatenation
      arity: 2
      en: $1 string concatenation $2
      property: infix
      area: "computer science"
      mathml:
       - "<math><mrow intent='string-concatenation($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: 
       - "https://mathworld.wolfram.com/Concatenation.html"
       - "https://en.wikipedia.org/wiki/Concatenation_(mathematics)"
    
    - concept: strong-product
      arity: 2
      en: $1 strong product $2
      property: infix
      area: "graph theory"
      mathml:
       - "<math><mrow intent='strong-product($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"
      alias:
       - normal-product
       - and-product
    
    - concept: struve-function
      arity: 1
      en: struve function of $1
      property: "indexed function"
      area: "special functions"
      mathml:
       - "<math><mrow intent='struve-function($a1)'><mi>H</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/StruveFunction.html"
       - "https://en.wikipedia.org/wiki/Struve_function"
       - "https://dlmf.nist.gov/11.2#E1"
       - "https://dlmf.nist.gov/11.2#E5"
       - "https://www.encyclopediaofmath.org/index.php/Struve_function"
    
    - concept: stufe
      arity: 1
      en: stufe of $1
      property: function
      area: "field theory"
      mathml:
       - "<math><mrow intent='stufe($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)"
    
    - concept: subfactorial
      arity: 1
      en: subfactorial of $1
      property: prefix
      area: "combinatorics"
      mathml:
       - "<math><mrow intent='subfactorial($a1)'><mo>!</mo><mi arg='a1'>x</mi></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Derangement"
      alias:
       - derangement-number
       - de-montmort-number
    
    - concept: subgroup
      arity: 2
      en: $1 subgroup $2
      property: infix
      area: "group theory"
      mathml:
       - "<math><mrow intent='subgroup($a1,$a2)'><mi arg='a1'>X</mi><mo>≤</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/Subgroup.html"
       - "https://en.wikipedia.org/wiki/Subgroup"
       - "https://ncatlab.org/nlab/show/subgroup"
       - "https://www.encyclopediaofmath.org/index.php/Subgroup"
    
    - concept: succeeds
      arity: 2
      en: $1 succeeds $2
      property: infix
      area: "set theory"
      mathml:
       - "<math><mrow intent='succeeds($a1,$a2)'><mi arg='a1'>X</mi><mo>≻</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/Succeeds.html"
       - "https://en.wikipedia.org/wiki/Ordered_set_operators"
    
    - concept: succeeds-or-equals
      arity: 2
      en: $1 succeeds or equals $2
      property: infix
      area: "set theory"
      mathml:
       - "<math><mrow intent='succeeds-or-equals($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"
    
    - concept: successor
      arity: 1
      en: successor of $1
      property: "function, msup"
      area: "number theory"
      mathml:
       - "<math><msup intent='successor($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>"
      urls: 
       - "https://en.wikipedia.org/wiki/Proclus"
       - "https://en.wikipedia.org/wiki/Successor_cardinal"
       - "https://en.wikipedia.org/wiki/Successor_ordinal"
       - "https://ncatlab.org/nlab/show/successor"
    
    - concept: such-that
      arity: 2
      en: $1 such that $2
      property: infix
      area: "set theory"
      mathml:
       - "<math><mrow intent='such-that($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: 
       - "https://en.wikipedia.org/wiki/Set_(mathematics)#Set-builder_notation"
    
    - concept: sumset
      arity: 2
      en: $1 sumset $2
      property: infix
      area: "set theory"
      mathml:
       - "<math><mrow intent='sumset($a1,$a2)'><mi arg='a1'>X</mi><mo>+</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/Sumset.html"
       - "https://en.wikipedia.org/wiki/Sumset"
    
    - concept: superfluous-submodule
      arity: 2
      en: $1 superfluous submodule $2
      property: infix
      area: "abstract algebra"
      mathml:
       - "<math><mrow intent='superfluous-submodule($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: 
       - "https://en.wikipedia.org/wiki/Essential_extension"
      alias:
       - small-submodule
    
    - concept: support
      arity: 1
      en: support of $1
      property: function
      area: "analysis"
      mathml:
       - "<math><mrow intent='support($a1)'><mi>supp</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/Support.html"
       - "https://en.wikipedia.org/wiki/Support_(mathematics)"
       - "https://en.wikipedia.org/wiki/Support_of_a_module"
       - "https://en.wikipedia.org/wiki/Support_(measure_theory)"
       - "https://ncatlab.org/nlab/show/support"
      alias:
       - spectrum
       - topological-support
    
    - concept: supremum
      arity: 1
      en: supremum of $1
      property: "function, largeop"
      area: "order theory, lattice theory"
      mathml:
       - "<math><mrow intent='supremum($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: 
       - "https://mathworld.wolfram.com/Supremum.html"
      alias:
       - join
       - least-upper-bound
    
    - concept: supremum-limit
      arity: 1
      en: supremum limit of $1
      property: indexed
      area: "limits"
      mathml:
       - "<math><mrow intent='supremum-limit($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: 
       - "https://mathworld.wolfram.com/SupremumLimit.html"
       - "https://en.wikipedia.org/wiki/Limit_superior_and_limit_inferior"
      alias:
       - limit-superior
       - limit-supremum
       - limsup
       - superior-limit
       - upper-limit
       - outer-limit
    
    - concept: surface-integral
      arity: 1
      en: surface integral of $1
      property: indexed
      area: "calculus"
      mathml:
       - "<math><mrow intent='surface-integral($a1)'><msub><mo>∬</mo><mi>S</mi></msub><mi arg='a1'>f</mi></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/SurfaceIntegral.html"
       - "https://en.wikipedia.org/wiki/Surface_integral"
       - "https://www.encyclopediaofmath.org/index.php/Surface_integral"
    
    - concept: surjection
      arity: 3
      en: surjection  $1, from $2 to $3
      property: mixfix, infix
      area: "set theory"
      mathml:
       - "<math><mrow intent='surjection($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"
       - "https://en.wikipedia.org/wiki/Surjective_function"
    
    - concept: suspension
      arity: 1
      en: suspension of $1
      property: function
      area: "topology"
      mathml:
       - "<math><mrow intent='suspension($a1)'><mi>S</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/Suspension.html"
       - "https://en.wikipedia.org/wiki/Suspension_(topology)"
       - "https://ncatlab.org/nlab/show/suspension"
       - "https://www.encyclopediaofmath.org/index.php/Suspension"
    
    - concept: symmetric-algebra
      arity: 1
      en: symmetric algebra of $1
      property: function
      area: "algebra"
      mathml:
       - "<math><mrow intent='symmetric-algebra($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: 
       - "https://en.wikipedia.org/wiki/Symmetric_algebra"
       - "https://ncatlab.org/nlab/show/symmetric+algebra"
       - "https://www.encyclopediaofmath.org/index.php/Symmetric_algebra"
    
    - concept: symmetric-difference
      arity: 2
      en: $1 symmetric difference $2
      property: infix
      area: "set theory"
      mathml:
       - "<math><mrow intent='symmetric-difference($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>"
      urls: 
       - "https://mathworld.wolfram.com/SymmetricDifference.html"
       - "https://en.wikipedia.org/wiki/Symmetric_difference"
       - "https://ncatlab.org/nlab/show/symmetric+difference"
    
    - concept: symmetric-group
      arity: 1
      en: symmetric group of $1
      property: "msub, function, postfix"
      area: "group theory"
      mathml:
       - "<math><msub intent='symmetric-group($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>"
      notationd: "mrow Σ ( $1 )"
      notationc: "mrow Sym ( $1 )"
      notationb: "mrow $1 !"
      notationa: ""
      urls: 
       - "https://mathworld.wolfram.com/SymmetricGroup.html"
       - "https://en.wikipedia.org/wiki/Symmetric_group"
       - "https://www.encyclopediaofmath.org/index.php/Symmetric_group"
    
    - concept: symmetric-space
      arity: 0
      en: symmetric space
      property: constant
      area: "topology"
      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"
    
    - concept: symplectic-group
      arity: 1
      en: symplectic group of $1
      property: function
      area: "group theory"
      mathml:
       - "<math><mrow intent='symplectic-group($a1)'><mi>Sp</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/SymplecticGroup.html"
       - "https://en.wikipedia.org/wiki/Symplectic_group"
       - "https://en.wikipedia.org/wiki/Symplectic_Lie_algebra"
       - "https://ncatlab.org/nlab/show/symplectic+group"
       - "https://www.encyclopediaofmath.org/index.php/Symplectic_group"
    
    - concept: szego-polynomial
      arity: 1
      en: szego polynomial of $1
      property: "indexed function"
      area: "orthogonal polynomials"
      mathml:
       - "<math><msub intent='szego-polynomial($a1)'><mi>ϕ</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Szeg%C5%91_polynomial"
       - "https://www.encyclopediaofmath.org/index.php/Szego_polynomial"
       - "https://www.encyclopediaofmath.org/index.php/Szegö_polynomial"
    
    - concept: tangent-bundle
      arity: 1
      en: tangent bundle of $1
      property: function
      area: "differential geometry"
      mathml:
       - "<math><mrow intent='tangent-bundle($a1)'><mi>T</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/TangentBundle.html"
       - "https://en.wikipedia.org/wiki/Tangent_bundle"
       - "https://ncatlab.org/nlab/show/tangent+bundle"
       - "https://www.encyclopediaofmath.org/index.php/Tangent_bundle"
    
    - concept: tangent-space
      arity: 1
      en: tangent space of $1
      property: "indexed function"
      area: "topology"
      mathml:
       - "<math><msub intent='tangent-space($a1)'><mi>T</mi><mi arg='a1'>n</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/TangentSpace.html"
       - "https://en.wikipedia.org/wiki/Tangent_space"
       - "https://www.encyclopediaofmath.org/index.php/Tangent_space"
    
    - concept: tate-algebra
      arity: 0
      en: tate algebra
      property: symbol
      area: "analytic geometry"
      mathml:
       - "<math><msub intent='tate-algebra'><mi>T</mi><mi>n</mi></msub></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Tate_algebra"
       - "https://ncatlab.org/nlab/show/Tate+algebra"
       - "https://www.encyclopediaofmath.org/index.php/Tate_algebra"
    
    - concept: tate-module
      arity: 1
      en: tate module of $1
      property: "indexed function"
      area: "group theory"
      mathml:
       - "<math><msub intent='tate-module($a1)'><mi>T</mi><mi arg='a1'>n</mi></msub></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Tate_module"
       - "https://ncatlab.org/nlab/show/Tate+module"
       - "https://www.encyclopediaofmath.org/index.php/Tate_module"
    
    - concept: tau-particle
      arity: 0
      en: tau particle
      property: symbol
      area: "particle physics"
      mathml:
       - "<math><mi intent='tau-particle'>τ</mi></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Tau_(particle)"
    
    - concept: taxicab-number
      arity: 1
      en: taxicab number of $1
      property: function
      area: "number theory"
      mathml:
       - "<math><mrow intent='taxicab-number($a1)'><mi>Ta</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/TaxicabNumber.html"
       - "https://en.wikipedia.org/wiki/Taxicab_number"
    
    - concept: taylor-polynomial
      arity: 1
      en: taylor polynomial of $1
      property: function
      area: "number theory"
      mathml:
       - "<math><mrow intent='taylor-polynomial($a1)'><mi>Ta</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/TaylorPolynomial.html"
       - "https://en.wikipedia.org/wiki/Taylor%27s_theorem"
       - "https://www.encyclopediaofmath.org/index.php/Taylor_polynomial"
    
    - concept: teichmuller-space
      arity: 1
      en: teichmuller space of $1
      property: function
      area: "differential geometry"
      mathml:
       - "<math><mrow intent='teichmuller-space($a1)'><mi>T</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/TeichmuellerSpace.html"
       - "https://en.wikipedia.org/wiki/Teichm%C3%BCller_space"
       - "https://www.encyclopediaofmath.org/index.php/Teichmüller_space"
    
    - concept: temperature
      arity: 0
      en: temperature
      property: symbol
      area: "physics"
      mathml:
       - "<math><mi intent='temperature'>T</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/Temperature.html"
       - "https://en.wikipedia.org/wiki/Temperature"
       - "https://ncatlab.org/nlab/show/temperature"
    
    - concept: tensor-algebra
      arity: 1
      en: tensor algebra of $1
      property: function
      area: "multilinear algebra"
      mathml:
       - "<math><mrow intent='tensor-algebra($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: 
       - "https://en.wikipedia.org/wiki/Tensor_algebra"
    
    - concept: tensor-product
      arity: 2
      en: $1 tensor product $2
      property: infix
      area: "algebra"
      mathml:
       - "<math><mrow intent='tensor-product($a1,$a2)'><mi arg='a1'>X</mi><mo>⊗</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/TensorProduct.html"
       - "https://en.wikipedia.org/wiki/Tensor_product"
       - "https://en.wikipedia.org/wiki/Tensor_product_of_graphs"
       - "https://ncatlab.org/nlab/show/tensor+product"
       - "https://www.encyclopediaofmath.org/index.php/Tensor_product"
    
    - concept: tensor-product-of-graphs
      arity: 2
      en: $1 tensor product of graphs $2
      property: infix
      area: "graph theory"
      mathml:
       - "<math><mrow intent='tensor-product-of-graphs($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"
      alias:
       - kronecker-product-of-graphs
       - categorical-product
    
    - concept: therefore-sign
      arity: 1
      en: therefore $1
      property: prefix
      area: "logic"
      mathml:
       - "<math><mrow intent='therefore-sign($a1)'><mo>∴</mo><mi arg='a1'>x</mi></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Therefore_sign"
       - "https://en.wikipedia.org/wiki/.%C2%B7."
       - "https://en.wikipedia.org/wiki/%E2%88%B4"
    
    - concept: theta-function
      arity: 1
      en: theta function of $1
      property: "indexed function"
      area: "special functions"
      mathml:
       - "<math><msub intent='theta-function($a1)'><mi>θ</mi><mi arg='a1'>n</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/ThetaFunction.html"
       - "https://en.wikipedia.org/wiki/Theta_function"
       - "https://dlmf.nist.gov/20.2#i"
       - "https://dlmf.nist.gov/20.2#i"
       - "https://dlmf.nist.gov/20.2#i"
       - "https://ncatlab.org/nlab/show/theta+function"
    
    - concept: thom-space
      arity: 1
      en: thom space of $1
      property: function
      area: "algebraic topology"
      mathml:
       - "<math><mrow intent='thom-space($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"
       - "https://ncatlab.org/nlab/show/Thom+space"
       - "https://www.encyclopediaofmath.org/index.php/Thom_space"
    
    - concept: thompson-group
      arity: 0
      en: thompson group
      property: symbol
      area: "group theory"
      mathml:
       - "<math><mi intent='thompson-group'>Th</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/ThompsonGroup.html"
       - "https://en.wikipedia.org/wiki/Thompson_groups"
       - "https://en.wikipedia.org/wiki/Thompson_sporadic_group"
    
    - concept: to
      arity: 2
      en: $1 to $2
      property: infix
      area: "arithmetic"
      mathml:
       - "<math><mrow intent='to($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"
    
    - concept: todd-class
      arity: 1
      en: todd class of $1
      property: function
      area: "characteristic classes"
      mathml:
       - "<math><mrow intent='todd-class($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: 
       - "https://en.wikipedia.org/wiki/Todd_class"
       - "https://ncatlab.org/nlab/show/Todd+class"
       - "https://www.encyclopediaofmath.org/index.php/Todd_class"
    
    - concept: topological-entropy
      arity: 1
      en: topological entropy of $1
      property: function
      area: "topology"
      mathml:
       - "<math><mrow intent='topological-entropy($a1)'><mi>h</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/TopologicalEntropy.html"
       - "https://en.wikipedia.org/wiki/Topological_entropy"
       - "https://www.encyclopediaofmath.org/index.php/Topological_entropy"
    
    - concept: toroidal-coordinate
      arity: 3
      en: toroidal coordinates $1 $2 $3
      property: fenced
      area: "geometry"
      mathml:
       - "<math><mrow intent='toroidal-coordinate($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"
       - "https://en.wikipedia.org/wiki/Toroidal_coordinates"
       - "https://www.encyclopediaofmath.org/index.php/Toroidal_coordinates"
    
    - concept: torque
      arity: 0
      en: torque
      property: symbol
      area: "mechanics"
      mathml:
       - "<math><mi intent='torque'>τ</mi></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Torque"
    
    - concept: torsion
      arity: 0
      en: torsion
      property: symbol
      area: "differential geometry"
      mathml:
       - "<math><mi intent='torsion'>τ</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/Torsion.html"
       - "https://en.wikipedia.org/wiki/Torsion_of_a_curve"
       - "https://ncatlab.org/nlab/show/torsion"
       - "https://www.encyclopediaofmath.org/index.php/Torsion"
    
    - concept: torsion-submodule
      arity: 1
      en: torsion submodule of $1
      property: function
      area: "abstract algebra"
      mathml:
       - "<math><mrow intent='torsion-submodule($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)"
    
    - concept: torsion-subgroup
      arity: 1
      en: torsion subgroup of $1
      property: msub
      area: "group theory"
      mathml:
       - "<math><msub intent='torsion-subgroup($a1)'><mi arg='a1'>G</mi><mi>T</mi></msub></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Torsion_subgroup"
       - "https://ncatlab.org/nlab/show/torsion+subgroup"
    
    - concept: torsion-tensor
      arity: 1
      en: torsion tensor of $1
      property: function
      area: "differential geometry"
      mathml:
       - "<math><mrow intent='torsion-tensor($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"
    
    - concept: total-derivative
      arity: 2
      en: total derivative of $1 at $2
      property: mixfix
      area: "differential calculus"
      mathml:
       - "<math><mrow intent='total-derivative($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"
       - "https://en.wikipedia.org/wiki/Total_derivative"
       - "https://www.encyclopediaofmath.org/index.php/Total_derivative"
      alias:
       - total-differential
    
    - concept: total-variation
      arity: 1
      en: total variation of $1
      property: fenced
      area: "measure theory"
      mathml:
       - "<math><mrow intent='total-variation($a1)'><mo>|</mo><mi arg='a1'>x</mi><mo>|</mo></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/TotalVariation.html"
       - "https://en.wikipedia.org/wiki/Total_variation"
       - "https://dlmf.nist.gov/1.4#E33"
    
    - concept: trace
      arity: 1
      en: trace of $1
      property: function
      area: "linear algebra"
      mathml:
       - "<math><mrow intent='trace($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)"
    
    - concept: transitive-closure
      arity: 1
      en: transitive closure of $1
      property: msup
      area: "set theory"
      mathml:
       - "<math><msup intent='transitive-closure($a1)'><mi arg='a1'>X</mi><mo>+</mo></msup></math>"
      urls: 
       - "https://mathworld.wolfram.com/TransitiveClosure.html"
       - "https://en.wikipedia.org/wiki/Transitive_closure"
       - "https://ncatlab.org/nlab/show/transitive+closure"
    
    - concept: triangle
      arity: 3
      en: triangle
      property: prefix
      area: "geometry"
      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"
       - "https://en.wikipedia.org/wiki/Triangle"
       - "https://ncatlab.org/nlab/show/triangle"
       - "https://www.encyclopediaofmath.org/index.php/Triangle"
    
    - concept: triangle-function
      arity: 1
      en: triangle function of $1
      property: function
      area: "special functions"
      mathml:
       - "<math><mrow intent='triangle-function($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: 
       - "https://mathworld.wolfram.com/TriangleFunction.html"
       - "https://en.wikipedia.org/wiki/Triangular_function"
      alias:
       - hat-function
       - tent-function
    
    - concept: triangular-number
      arity: 1
      en: triangular number $1
      property: "indexed symbol"
      area: "number theory"
      mathml:
       - "<math><msub intent='triangular-number($a1)'><mi>T</mi><mi arg='a1'>n</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/TriangularNumber.html"
       - "https://en.wikipedia.org/wiki/Triangular_number"
       - "https://en.wikipedia.org/wiki/Centered_triangular_number"
       - "https://www.encyclopediaofmath.org/index.php/Triangular_number"
    
    - concept: trilinear-coordinates
      arity: 3
      en: trilinear coordinates $1, $2, $3
      property: infix
      area: "geometry"
      mathml:
       - "<math><mrow intent='trilinear-coordinates($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"
    
    - concept: trimean
      arity: 1
      en: trimean of $1
      property: function
      area: "statistics"
      mathml:
       - "<math><mrow intent='trimean($a1)'><mi>TM</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Trimean"
      alias:
       - tukey-trimean
    
    - concept: triple-bond
      arity: 2
      en: $1 triple bond $2
      property: infix
      area: "chemistry"
      mathml:
       - "<math><mrow intent='triple-bond($a1,$a2)'><mi arg='a1'>X</mi><mo>≡</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Triple_bond"
    
    - concept: triple-scalar-product
      arity: 3
      en: triple scalar product of $1, $2 and $3
      property: fenced
      area: "algebra"
      mathml:
       - "<math><mrow intent='triple-scalar-product($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"
      alias:
       - scalar-triple-product
    
    - concept: triple-torus
      arity: 0
      en: triple torus
      property: "indexed symbol"
      area: "topology"
      mathml:
       - "<math><msup intent='triple-torus'><mi>𝕋</mi><mn>3</mn></msup></math>"
      urls: 
       - "https://mathworld.wolfram.com/TripleTorus.html"
       - "https://en.wikipedia.org/wiki/Three-torus"
       - "https://en.wikipedia.org/wiki/Triple_torus"
    
    - concept: truncation
      arity: 1
      en: truncation of $1
      property: function
      area: "numerical analysis"
      mathml:
       - "<math><mrow intent='truncation($a1)'><mi>trunc</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/Truncation.html"
       - "https://en.wikipedia.org/wiki/Truncation"
    
    - concept: tube-domain
      arity: 1
      en: tube domain of $1
      property: msub
      area: "complex analysis"
      mathml:
       - "<math><msub intent='tube-domain($a1)'><mi>T</mi><mi arg='a1'>n</mi></msub></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Tube_domain"
       - "https://www.encyclopediaofmath.org/index.php/Tube_domain"
    
    - concept: turan-graph
      arity: 2
      en: turan graph $1 $2
      property: "function, indexed function"
      area: "graph theory"
      mathml:
       - "<math><mrow intent='turan-graph($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"
       - "https://en.wikipedia.org/wiki/Tur%C3%A1n_graph"
       - "https://en.wikipedia.org/wiki/Cocktail_party_graph"
    
    - concept: turan-number
      arity: 3
      en: turan number of $1, $2 and $3
      property: function
      area: "graph theory"
      mathml:
       - "<math><mrow intent='turan-number($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"
       - "https://www.encyclopediaofmath.org/index.php/Turan_number"
       - "https://www.encyclopediaofmath.org/index.php/Turán_number"
    
    - concept: turn
      arity: 1
      en: turn of $1
      property: unit
      area: "geometry"
      mathml:
       - "<math><mrow intent='turn($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>"
       - "<math><mrow intent='turn($a1)'><mi>pla</mi><mrow><mi arg='a1'>X</mi></mrow></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Turn_(geometry)"
      alias:
       - cycle
       - revolution
       - plenus angulus
    
    - concept: twisted-tensor-product
      arity: 2
      en: $1 twisted tensor product $2
      property: infix
      area: "topology"
      mathml:
       - "<math><mrow intent='twisted-tensor-product($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"
    
    - concept: tychonoff-space
      arity: 0
      en: tychonoff space
      property: symbol
      area: "topology"
      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>"
      urls: 
       - "https://mathworld.wolfram.com/TychonoffSpace.html"
       - "https://en.wikipedia.org/wiki/Tychonoff_space"
       - "https://ncatlab.org/nlab/show/Tychonoff+space"
    
    - concept: typing-judgement
      arity: 2
      en: $1 typing judgement $2
      property: infix
      area: "type theory"
      mathml:
       - "<math><mrow intent='typing-judgement($a1,$a2)'><mi arg='a1'>X</mi><mo>:</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://ncatlab.org/nlab/show/judgment"
    
    - concept: ulam-number
      arity: 1
      en: $1<i>th</i> ulam number
      property: "indexed symbol"
      area: "integer sequences"
      mathml:
       - "<math><msub intent='ulam-number($a1)'><mi>U</mi><mi arg='a1'>n</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/UlamNumber.html"
       - "https://en.wikipedia.org/wiki/Ulam_number"
    
    - concept: ultrapower
      arity: 2
      en: ultrapower $1 $2
      property: mixfix
      area: "abstract algebra"
      mathml:
       - "<math><mrow intent='ultrapower($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"
       - "https://en.wikipedia.org/wiki/Ultraproduct"
       - "https://ncatlab.org/nlab/show/ultrapower"
    
    - concept: ultraproduct
      arity: 3
      en: ultraproduct of $1, $2 modulo $3
      property: mixfix
      area: "abstract algebra"
      mathml:
      - "<math><mrow intent='ultraproduct($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"
       - "https://en.wikipedia.org/wiki/Ultraproduct"
       - "https://ncatlab.org/nlab/show/ultraproduct"
    
    - concept: uniformly-convergent
      arity: 2
      en: $1 uniformly convergs to $2
      property: infix, indexed, postfix
      area: "convergence"
      mathml:
       - "<math><mrow intent='uniformly-convergent($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>"
      urls: 
       - "https://en.wikipedia.org/wiki/Uniform_convergence"
    
    - concept: unit-part
      arity: 1
      en: unit part of $1
      property: fenced
      area: "SI units"
      mathml:
       - "<math><mrow intent='unit-part($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"
       - "https://physics.stackexchange.com/questions/77690/square-bracket-notation-for-dimensions-and-units-usage-and-conventions"
    
    - concept: unit-vector
      arity: 1
      en: unit vector of $1
      property: mover
      area: "linear algebra"
      mathml:
       - "<math><mover intent='unit-vector($a1)'><mi arg='a1'>v</mi><mo>^</mo></mover></math>"
      urls: 
       - "https://mathworld.wolfram.com/UnitVector.html"
       - "https://en.wikipedia.org/wiki/Unit_vector"
       - "https://www.encyclopediaofmath.org/index.php/Unit_vector"
    
    - concept: unitary-group
      arity: 1
      en: $1<i>th</i> unitary group
      property: "indexed symbol"
      area: "group theory"
      mathml:
       - "<math><msub intent='unitary-group($a1)'><mi>U</mi><mi arg='a1'>n</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/UnitaryGroup.html"
       - "https://en.wikipedia.org/wiki/Unitary_group"
       - "https://ncatlab.org/nlab/show/unitary+group"
       - "https://www.encyclopediaofmath.org/index.php/Unitary_group"
    
    - concept: universal-gas-constant
      arity: 0
      en: universal gas constant
      property: constant
      area: "physics"
      mathml:
       - "<math><mi intent='universal-gas-constant'>R</mi></math>"
      notationa: "mover R -"
      urls: 
       - "https://en.wikipedia.org/wiki/Gas_constant"
      alias:
       - gas-constant
       - molar-gas-constant
       - ideal-gas-constant
    
    - concept: universal-parabolic-constant
      arity: 0
      en: universal parabolic constant
      property: constant
      area: "geometry"
      mathml:
       - "<math><mi intent='universal-parabolic-constant'>P</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/UniversalParabolicConstant.html"
       - "https://en.wikipedia.org/wiki/Universal_parabolic_constant"
    
    - concept: universal-set
      arity: 0
      en: universal set
      property: symbol
      area: "set theory"
      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>"
      urls: 
       - "https://mathworld.wolfram.com/UniversalSet.html"
       - "https://en.wikipedia.org/wiki/Universal_set"
       - "https://www.encyclopediaofmath.org/index.php/Universal_set"
      alias:
       - universe
    
    - concept: unique-existential
      arity: 3
      en: There exists unique $1
      property: prefix
      area: "logic"
      mathml:
       - "<math><mrow intent='unique-existential($a1)'><mo>∃!</mo><mi arg='a1'>n</mi></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Uniqueness_quantification"
       - "https://arxiv.org/pdf/1902.03852.pdf"
    
    - concept: unnatural-isomorphism
      arity: 2
      en: $1 unnatural isomorphism $2
      property: infix
      area: "set theory"
      mathml:
       - "<math><mrow intent='unnatural-isomorphism($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"
    
    - concept: unrestricted-wreath-product
      arity: 2
      en: $1 unrestricted wreath product $2
      property: infix
      area: "group theory"
      mathml:
       - "<math><mrow intent='unrestricted-wreath-product($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>"
      urls: 
       - "https://mathworld.wolfram.com/WreathProduct.html"
       - "https://en.wikipedia.org/wiki/Wreath_product"
       - "https://ncatlab.org/nlab/show/wreath+product"
       - "https://www.encyclopediaofmath.org/index.php/Wreath_product"
    
    - concept: upper-closure-poset
      arity: 1
      en: upper closure poset of $1
      property: prefix
      area: "order theory"
      mathml:
       - "<math><mrow intent='upper-closure-poset($a1)'><mo>↑</mo><mi arg='a1'>x</mi></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Upper_set#Upper_closure_and_lower_closure"
    
    - concept: upper-darboux-integral
      arity: 1
      en: upper darboux integral of $1
      property: indexed
      area: "real analysis"
      mathml:
       - "<math><mrow intent='upper-darboux-integral($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"
       - "https://www.encyclopediaofmath.org/index.php/Darboux_integral"
    
    - concept: upper-dini-derivative
      arity: 1
      en: upper dini derivative of $1
      property: decorated function
      area: "analysis"
      mathml:
       - "<math><mrow intent='upper-dini-derivative($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"
       - "https://en.wikipedia.org/wiki/Dini_derivative"
       - "https://www.encyclopediaofmath.org/index.php/Dini_derivative"
    
    - concept: upper-half-plane
      arity: 0
      en: upper half plane
      property: symbol
      area: "complex analysis"
      mathml:
       - "<math><mi intent='upper-half-plane'>ℍ</mi></math>"
       - "<math><msup intent='upper-half-plane'><mi>ℍ</mi><mo>+</mo></msup></math>"
      urls: 
       - "https://mathworld.wolfram.com/UpperHalf-Plane.html"
       - "https://en.wikipedia.org/wiki/Upper_half-plane"
       - "https://ncatlab.org/nlab/show/upper+half-plane"
    
    - concept: upper-shadow
      arity: 1
      en: upper shadow of $1
      property: function
      area: "combinatorics"
      mathml:
       - "<math><mrow intent='upper-shadow($a1)'><msup><mi>𝜕</mi><mo>+</mo></msup><mi arg='a1'>A</mi></mrow></math>"
      urls: 
       - "http://qk206.user.srcf.net/notes/combinatorics.pdf"
    
    - concept: variance
      arity: 1
      en: variance of $1
      property: function
      area: "statistics"
      mathml:
       - "<math><mrow intent='variance($a1)'><mi>Var</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Variance"
      alias:
       - dispersion
    
    - concept: vect
      arity: 1
      en: vect of $1
      property: "indexed symbol"
      area: "category theory"
      mathml:
       - "<math><msub intent='vect($a1)'><mi>Vect</mi><mi arg='a1'>n</mi></msub></math>"
      urls: 
       - "https://ncatlab.org/nlab/show/Vect"
    
    - concept: vector-concatenation
      arity: 2
      en: $1 vector concatenation $2
      property: infix
      area: "machine learning"
      mathml:
       - "<math><mrow intent='vector-concatenation($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: 
       - "https://arxiv.org/pdf/1903.00172v1.pdf"
       - "https://arxiv.org/abs/1901.10879"
    
    - concept: vector-projection
      arity: 1
      en: vector projection of $1
      property: function
      area: "linear algebra"
      mathml:
       - "<math><mrow intent='vector-projection($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"
      alias:
       - vector-component
       - vector-resolution
    
    - concept: vectorization
      arity: 1
      en: vectorization of $1
      property: function
      area: "linear algebra"
      mathml:
       - "<math><mrow intent='vectorization($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)"
       - "https://en.wikipedia.org/wiki/Vectorization_(parallel_computing)"
       - "https://en.wikipedia.org/wiki/Vectorization_(image_tracing)"
    
    - concept: versor
      arity: 1
      en: versor of $1
      property: function
      area: "quaternions"
      mathml:
       - "<math><mrow intent='versor($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)"
       - "https://en.wikipedia.org/wiki/Versor"
       - "https://www.encyclopediaofmath.org/index.php/Versor"
    
    - concept: vertical
      arity: 0
      en: vertical
      property: 
      area: 
      mathml:
       - "<math><mi intent='vertical'>vertical</mi></math>"
      notation: 
      urls: 
       - "https://mathworld.wolfram.com/Vertical.html"
       - "https://en.wikipedia.org/wiki/Horizontal_and_vertical"
       - "https://en.wikipedia.org/wiki/Vertical_direction"
    
    - concept: vertical-composition
      arity: 2
      en: $1 vertical composition $2
      property: infix
      area: "category theory"
      mathml:
       - "<math><mrow intent='vertical-composition($a1,$a2)'><mi arg='a1'>X</mi><mo>∘</mo><mi arg='a2'>Y</mi></mrow></math>"
      urls: 
       - "https://ncatlab.org/nlab/show/vertical+composition"
       - "https://proofwiki.org/wiki/Definition: Vertical_Composition_of_Natural_Transformations"
    
    - concept: volterra-integral
      arity: 1
      en: volterra integral of $1
      property: indexed
      area: "calculus"
      mathml:
       - "<math><mrow intent='volterra-integral($a1)'><mo>Π</mo><mi arg='a1'>f</mi></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Product_integral"
    
    - concept: volume
      arity: 0
      en: volume
      property: symbol
      area: "physics"
      mathml:
       - "<math><mi intent='volume'>V</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/Volume.html"
       - "https://en.wikipedia.org/wiki/Volume_(compression)"
       - "https://en.wikipedia.org/wiki/Lebesgue_measure"
       - "https://en.wikipedia.org/wiki/Volume_(thermodynamics)"
       - "https://en.wikipedia.org/wiki/Volume"
       - "https://ncatlab.org/nlab/show/volume"
       - "https://www.encyclopediaofmath.org/index.php/Volume"
    
    - concept: volume-element
      arity: 0
      en: volume element
      property: symbol
      area: "measure theory"
      mathml:
       - "<math><mi intent='volume-element'>d</mi><mi>V</mi></math>"
      urls: 
       - "https://mathworld.wolfram.com/VolumeElement.html"
       - "https://en.wikipedia.org/wiki/Volume_element"
    
    - concept: walsh-function
      arity: 1
      en: walsh function of $1
      property: "indexed function"
      area: "special functions"
      mathml:
       - "<math><mrow intent='walsh-function($a1)'><mi>W</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/WalshFunction.html"
       - "https://en.wikipedia.org/wiki/Walsh_function"
       - "https://www.encyclopediaofmath.org/index.php/Walsh_functions"
    
    - concept: wavelet-transform
      arity: 2
      en: wavelet transform $1 $2
      property: "embellished function"
      area: "functional analysis"
      mathml:
       - "<math><mrow intent='wavelet-transform($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: 
       - "https://mathworld.wolfram.com/WaveletTransform.html"
       - "https://en.wikipedia.org/wiki/Wavelet_transform"
       - "https://en.wikipedia.org/wiki/Embedded_Zerotrees_of_Wavelet_transforms"
      alias:
       - integral-wavelet-transform
    
    - concept: way-below
      arity: 2
      en: $1 way below $2
      property: infix
      area: "domain theory"
      mathml:
       - "<math><mrow intent='way-below($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"
       - "https://en.wikipedia.org/wiki/Domain_theory"
      alias:
       - way-inside
       - order-of-approximation
    
    - concept: weak-convergence
      arity: 2
      en: $1 weak convergence $2
      property: infix
      area: "analysis"
      mathml:
       - "<math><mrow intent='weak-convergence($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: 
       - "https://mathworld.wolfram.com/WeakConvergence.html"
       - "https://en.wikipedia.org/wiki/Weak_convergence_(Hilbert_space)"
    
    - concept: weber-function
      arity: 1
      en: weber function of $1
      property: "indexed function"
      area: "special functions"
      mathml:
       - "<math><mrow intent='weber-function($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"
       - "https://dlmf.nist.gov/11.10#E2"
       - "https://www.encyclopediaofmath.org/index.php/Weber_function"
    
    - concept: weierstrass-elliptic-function
      arity: 1
      en: weierstrass elliptic function of $1
      property: function
      area: "special functions"
      mathml:
       - "<math><mrow intent='weierstrass-elliptic-function($a1)'><mi>℘</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/WeierstrassEllipticFunction.html"
       - "https://en.wikipedia.org/wiki/Weierstrass%27s_elliptic_functions"
       - "https://dlmf.nist.gov/23.2#ii"
       - "https://ncatlab.org/nlab/show/Weierstrass+elliptic+function"
       - "https://www.encyclopediaofmath.org/index.php/Weierstrass_elliptic_functions"
    
    - concept: weierstrass-sigma-function
      arity: 1
      en: weierstrass sigma function of $1
      property: function
      area: "special functions"
      mathml:
       - "<math><mrow intent='weierstrass-sigma-function($a1)'><mi>σ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/WeierstrassSigmaFunction.html"
       - "https://dlmf.nist.gov/23.1"
       - "https://dlmf.nist.gov/23.2#E6"
       - "https://dlmf.nist.gov/23.3#SS1.p3"
    
    - concept: weierstrass-zeta-function
      arity: 1
      en: weierstrass zeta function of $1
      property: function
      area: "special functions"
      mathml:
       - "<math><mrow intent='weierstrass-zeta-function($a1)'><mi>ζ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/WeierstrassZetaFunction.html"
       - "https://dlmf.nist.gov/23.1"
       - "https://dlmf.nist.gov/23.2#E5"
       - "https://dlmf.nist.gov/23.3#SS1.p3"
    
    - concept: weight
      arity: 1
      en: weight of $1
      property: function
      area: "group theory"
      mathml:
       - "<math><mrow intent='weight($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)"
       - "https://ncatlab.org/nlab/show/weight"
       - "https://www.encyclopediaofmath.org/index.php/Weight"
    
    - concept: weighted-lehmer-mean
      arity: ">=0"
      en: weighted lehmer mean of $1 $2 ...
      property: "indexed function"
      area: "means"
      mathml:
       - "<math><mrow intent='weighted-lehmer-mean($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"
       - "https://en.wikipedia.org/wiki/Lehmer_mean"
    
    - concept: weighted-mean
      arity: 1
      en: weighted mean of $1
      property: fenced
      area: "special functions"
      mathml:
       - "<math><mrow intent='weighted-mean($a1)'><mo>⟨</mo><mi arg='a1'>x</mi><mo>⟩</mo></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/WeightedMean.html"
       - "https://en.wikipedia.org/wiki/Weighted_arithmetic_mean"
      alias:
       - weighted-arithmetic-mean
       - weighted-average
    
    - concept: wheel-graph
      arity: 1
      en: wheel graph of $1
      property: "indexed symbol"
      area: "graph theory"
      mathml:
       - "<math><msub intent='wheel-graph($a1)'><mi>W</mi><mi arg='a1'>n</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/WheelGraph.html"
       - "https://en.wikipedia.org/wiki/Wheel_graph"
    
    - concept: whitehead-group
      arity: 1
      en: whitehead group of $1
      property: function
      area: "group theory"
      mathml:
       - "<math><mrow intent='whitehead-group($a1)'><mi>Wh</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/WhiteheadGroup.html"
       - "https://en.wikipedia.org/wiki/Whitehead_torsion"
       - "https://www.encyclopediaofmath.org/index.php/Whitehead_group"
    
    - concept: whitehead-bracket
      arity: 2
      en: whitehead bracket $1 $2
      property: fenced
      area: "lie algebra"
      mathml:
       - "<math><mrow intent='whitehead-bracket($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"
       - "https://ncatlab.org/nlab/show/Whitehead+product"
       - "https://www.encyclopediaofmath.org/index.php/Whitehead_product"
    
    - concept: whitehead-torsion
      arity: 1
      en: whitehead torsion of $1
      property: function
      area: "geometric topology"
      mathml:
       - "<math><mrow intent='whitehead-torsion($a1)'><mi>τ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/WhiteheadTorsion.html"
       - "https://en.wikipedia.org/wiki/Whitehead_torsion"
       - "https://www.encyclopediaofmath.org/index.php/Whitehead_torsion"
    
    - concept: whittaker-function
      arity: 2
      en: whittaker function $1 $2
      property: "indexed function"
      area: "special functions"
      mathml:
       - "<math><mrow><msub intent='whittaker-function($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: 
       - "https://mathworld.wolfram.com/WhittakerFunction.html"
       - "https://en.wikipedia.org/wiki/Whittaker_function"
       - "https://dlmf.nist.gov/13#PT3"
       - "https://www.encyclopediaofmath.org/index.php/Whittaker_functions"

    - concept: whittaker-function
      arity: 3
      en: whittaker function $1 $2 of $3
      property: "indexed function"
      area: "special functions"
      mathml:
       - "<math><mrow intent='whittaker-function($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: 
       - "https://mathworld.wolfram.com/WhittakerFunction.html"
       - "https://en.wikipedia.org/wiki/Whittaker_function"
       - "https://dlmf.nist.gov/13#PT3"
       - "https://www.encyclopediaofmath.org/index.php/Whittaker_functions"
    
    - concept: wiener-algebra
      arity: 0
      en: wiener algebra
      property: symbol
      area: "Fourier analysis"
      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"
       - "https://en.wikipedia.org/wiki/Wiener_algebra"
    
    - concept: wiener-process
      arity: 1
      en: wiener process of $1
      property: "indexed symbol"
      area: "martingale theory"
      mathml:
       - "<math><msub intent='wiener-process($a1)'><mi>W</mi><mi arg='a1'>n</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/WienerProcess.html"
       - "https://en.wikipedia.org/wiki/Wiener_process"
       - "https://www.encyclopediaofmath.org/index.php/Wiener_process"
    
    - concept: wiener-sausage
      arity: 2
      en: wiener sausage of radius $1 and length $2
      property: "indexed symbol"
      area: "mathematical physics"
      mathml:
       - "<math><mrow intent='wiener-sausage($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"
       - "https://en.wikipedia.org/wiki/Wiener_sausage"
       - "https://www.encyclopediaofmath.org/index.php/Wiener_sausage"
    
    - concept: wilson-polynomial
      arity: 1
      en: $1<i>th</i> wilson polynomial 
      property: "indexed function"
      area: "orthogonal polynomials"
      mathml:
       - "<math><msub intent='wilson-polynomial($a1)'><mi>W</mi><mi arg='a1'>n</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/WilsonPolynomial.html"
       - "https://en.wikipedia.org/wiki/Wilson_polynomials"
       - "https://dlmf.nist.gov/18.25#T1.t1.r2"
       - "https://www.encyclopediaofmath.org/index.php/Wilson_polynomials"
    
    - concept: wilson-quotient
      arity: 1
      en: wilson quotient of $1
      property: function
      area: "number theory"
      mathml:
       - "<math><mrow intent='wilson-quotient($a1)'><mi>W</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/WilsonQuotient.html"
       - "https://en.wikipedia.org/wiki/Wilson_quotient"
    
    - concept: winding-number
      arity: 1
      en: winding number of $1
      property: "function, symbol"
      area: "algebraic topology"
      mathml:
       - "<math><mrow intent='winding-number($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: 
       - "https://en.wikipedia.org/wiki/Winding_number"
       - "https://dlmf.nist.gov/1.9#E32"
       - "https://ncatlab.org/nlab/show/winding+number"
       - "https://planetmath.org/windingnumber"
       - "https://www.encyclopediaofmath.org/index.php/Winding_number"
    
    - concept: window-function
      arity: 1
      en: window function of $1
      property: function
      area: "fourier analysis"
      mathml:
       - "<math><mrow intent='window-function($a1)'><mi>w</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/WindowFunction.html"
       - "https://en.wikipedia.org/wiki/Window_function"
       - "https://www.encyclopediaofmath.org/index.php/Window_function"
    
    - concept: wishart-distribution
      arity: 0
      en: wishart distribution
      property: symbol
      area: "probability theory"
      mathml:
       - "<math><msub intent='wishart-distribution'><mi>W</mi><mi>p</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/WishartDistribution.html"
       - "https://en.wikipedia.org/wiki/Wishart_distribution"
       - "https://www.encyclopediaofmath.org/index.php/Wishart_distribution"
    
    - concept: witt-polynomials
      arity: 1
      en: witt polynomials of $1
      property: "indexed function"
      area: "ring theory"
      mathml:
       - "<math><msub intent='witt-polynomials($a1)'><mi>W</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Witt_vector"
       - "https://www.encyclopediaofmath.org/index.php/Witt_vector"
    
    - concept: witt-vector
      arity: ">=0"
      en: witt vector of $1
      property: fenced
      area: "ring theory"
      mathml:
       - "<math><mrow intent='witt-vector($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"
       - "https://www.encyclopediaofmath.org/index.php/Witt_vector"
    
    - concept: woodall-number
      arity: 1
      en: woodall number of $1
      property: "indexed symbol"
      area: "number theory"
      mathml:
       - "<math><msub intent='woodall-number($a1)'><mi>W</mi><mi arg='a1'>x</mi></msub></math>"
      urls: 
       - "https://mathworld.wolfram.com/WoodallNumber.html"
       - "https://en.wikipedia.org/wiki/Woodall_number"
       - "https://en.wikipedia.org/wiki/Woodall_prime"
    
    - concept: wright-function
      arity: 1
      en: wright function of $1
      property: function
      area: "special functions"
      mathml:
       - "<math><mrow intent='wright-function($a1)'><mi>ϕ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/WrightFunction.html"
    
    - concept: wright-omega-function
      arity: 1
      en: wright omega function of $1
      property: function
      area: "special functions"
      mathml:
       - "<math><mrow intent='wright-omega-function($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"
      alias:
       - wright-function
    
    - concept: writhe
      arity: 1
      en: writhe of $1
      property: function
      area: "knot theory"
      mathml:
       - "<math><mrow intent='writhe($a1)'><mi>Wr</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/Writhe.html"
       - "https://en.wikipedia.org/wiki/Writhe"
       - "https://ncatlab.org/nlab/show/writhe"
    
    - concept: wronskian
      arity: 2
      en: wronskian of $1, $2
      property: operator
      area: "special functions"
      mathml:
       - "<math><mrow intent='wronskian($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: 
       - "https://mathworld.wolfram.com/Wronskian.html"
       - "https://en.wikipedia.org/wiki/Wronskian"
       - "https://dlmf.nist.gov/1.13#E4"
       - "https://ncatlab.org/nlab/show/Wronskian"
       - "https://www.encyclopediaofmath.org/index.php/Wronskian"
    
    - concept: yang-mill-functional
      arity: 1
      en: yang mill functional of $1
      property: function
      area: "gauge theory"
      mathml:
       - "<math><mrow intent='yang-mill-functional($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"
       - "https://www.encyclopediaofmath.org/index.php/Yang-Mills_functional"
       - "https://www.encyclopediaofmath.org/index.php/YangâXXXXMills_functional"
    
    - concept: z-matrix
      arity: 0
      en: z matrix
      property: symbol
      area: "linear algebra"
      mathml:
       - "<math><mi intent='z-matrix'>Z</mi></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Z-matrix_(mathematics)"
    
    - concept: z-matrix-molecule
      arity: 1
      en: z matrix molecule of $1
      property: mtable
      area: "chemistry"
      mathml:
       - "<math><mrow intent='z-matrix-molecule($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)"
    
    - concept: z-transform
      arity: 1
      en: z transform of $1
      property: function
      area: "combinatorics"
      mathml:
       - "<math><mrow intent='z-transform($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"
       - "https://mathworld.wolfram.com/Z-Transform.html"
       - "https://en.wikipedia.org/wiki/Z-transform"
       - "https://www.encyclopediaofmath.org/index.php/Z-transform"
    
    - concept: zernike-polynomial
      arity: 4
      en: $1 $2 zernike polynomial of $3, $4
      property: "indexed function"
      area: "orthogonal polynomials"
      mathml:
       - "<math><mrow intent='zernike-polynomial($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"
       - "https://en.wikipedia.org/wiki/Zernike_polynomials"
       - "https://www.encyclopediaofmath.org/index.php/Zernike_polynomials"
    
    - concept: zero-ideal
      arity: 0
      en: zero ideal
      property: symbol
      area: "ring theory"
      mathml:
       - "<math><mrow intent='zero-ideal'><mo>{</mo><mn>0</mn><mo>}</mo></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/ZeroIdeal.html"
       - "https://ncatlab.org/nlab/show/zero+ideal"
    
    - concept: zero-matrix
      arity: 2
      en: $1 $2 zero matrix
      property: "indexed symbol"
      area: "linear algebra"
      mathml:
       - "<math><msub intent='zero-matrix($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"
    
    - concept: zero-morphism
      arity: 2
      en: zero morphism $1 $2
      property: "indexed symbol"
      area: "category theory"
      mathml:
       - "<math><msub intent='zero-morphism($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: 
       - "https://en.wikipedia.org/wiki/Zero_morphism"
       - "https://ncatlab.org/nlab/show/zero+morphism"
    
    - concept: zero-object
      arity: 0
      en: zero object
      property: symbol
      area: "algebra"
      mathml:
       - "<math><mrow intent='zero-object'><mo>{</mo><mn>0</mn><mo>}</mo></mrow></math>"
      urls: 
       - "https://en.wikipedia.org/wiki/Zero_object_(algebra)"
       - "https://ncatlab.org/nlab/show/zero+object"
    
    - concept: zero-ring
      arity: 0
      en: zero ring
      property: symbol
      area: "ring theory"
      mathml:
       - "<math><mrow intent='zero-ring'><mo>{</mo><mn>0</mn><mo>}</mo></mrow></math>"
       - "<math><mn intent='zero-ring'>0</mn></math>"
      urls: 
       - "https://mathworld.wolfram.com/ZeroRing.html"
       - "https://en.wikipedia.org/wiki/Zero_ring"
    
    - concept: zero-vector
      arity: 0
      en: zero vector
      property: constant
      area: "linear algebra"
      mathml:
       - "<math><mn intent='zero-vector'>0</mn></math>"
      urls: 
       - "https://mathworld.wolfram.com/ZeroVector.html"
    
    - concept: zeta-function
      arity: 1
      en: zeta function of $1
      property: function
      area: "number theory"
      mathml:
       - "<math><mrow intent='zeta-function($a1)'><mi>ζ</mi><mrow><mo>(</mo><mi arg='a1'>x</mi><mo>)</mo></mrow></mrow></math>"
      urls: 
       - "https://mathworld.wolfram.com/ZetaFunction.html"
       - "https://en.wikipedia.org/wiki/List_of_zeta_functions"
       - "https://en.wikipedia.org/wiki/Zeta_function_(operator)"
       - "https://ncatlab.org/nlab/show/zeta+function"
    
    - concept: zig-zag-product
      arity: 2
      en: $1 zig zag product $2
      property: infix
      area: "graph theory"
      mathml:
       - "<math><mrow intent='zig-zag-product($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"