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Content Element Reference

This page lists the MathML 2.0 content markup elements. Each element links to reference information about the MathML description of the element, with comments about the WebEQ 3 implementation.

Token Elements:

<cn> Content Number
<ci> Content Identifier
<csymbol> Publicly defined symbols, functions and constants (MathML 2.0)

Basic Content Elements:

<apply> explicit application of a function to its argument
<reln> equation or relation
<fn> user-defined function
<interval> interval constructor
<inverse/> generic inverse
<sep/> separator in numeric values
<condition> domain constructor
<declare> declaration
<lambda> function construction from an expression
<compose/> compose two or more functions
<ident/> identity function
<domain/> domain of a function (MathML 2.0)
<codomain/> codomain of a function (MathML 2.0)
<image/> image of a function (MathML 2.0)
<domainofapplication/> region to integrate over, etc (MathML 2.0)
<piecewise/> piecewise defined function (MathML 2.0)
<piece/> one part of a piecewise function definition (MathML 2.0)
<otherwise/> default case of a piecewise function definition(MathML 2.0)

Arithmetic, Algebra and Logic:

<quotient/> division modulo base
<exp/> exponentiation
<factorial/> factorial
<divide/> division
<max/> maximum
<min/> minimum
<minus/> subtraction
<plus/> addition
<power/> to the power of
<rem/> remainder modulo base
<times/> multiplication
<root/> nth root
<gcd/> greatset common denominator
<and/> boolean and
<or/> boolean or
<xor/> boolean exclusive or
<not/> boolean not
<implies/> boolean implies
<forall/> universal quantifier
<exists/> existential quantifier
<abs/> absolute value
<conjugate/> complex conjugate
<arg/> argument of a complex number (MathML 2.0)
<real/> real part of a complex number (MathML 2.0)
<imaginary/> imaginary part of a complex number (MathML 2.0)
<lcm/> least common multiple (MathML 2.0)
<floor/> greatest integer less than or equal to a real number (MathML 2.0)
<ceiling/> least integer greater than or equal to a real number (MathML 2.0)

Relations:

<eq/> equal
<neq/> not equal
<gt/> greater than
<lt/> less than
<geq/> greater than or equal
<leq/> less than or equal
<equivalent/> logically equivalent (MathML 2.0)
<approx/> approximately equal (MathML 2.0)
<factorof/> the "divides" operator (MathML 2.0)

Calculus:

<int/> integral
<diff/> derivative, differentiatiom
<partialdiff/> partial derivative
<lowlimit> lower limit (of integral, sum etc.)
<uplimit> upper limit (of integral, sum etc.)
<bvar> bound variable (e.g. for integral)
<degree> holds the n in "nth derivative"
<divergence> divergence differential operator (MathML 2.0)
<gradient> gradient differential operator (MathML 2.0)
<curl> curl differential operator (MathML 2.0)
<laplacian> Laplacian differential operator (MathML 2.0)

Theory of Sets:

<set>
<list>
<union/> union or meet
<intersect/> intersection or join
<in/> is in, is a member
<notin/> is not in, is not a member
<subset/> is a subset
<prsubset/> is a proper subset
<notsubset/> is not a subset
<notprsubset/> is not a proper subset
<setdiff/> set difference
<card/> cardinality of a set (MathML 2.0)
<cartesianproduct/> form the Cartesian product of two sets (MathML 2.0)

Sequences and Series:

<sum/> sum terms of a sequence
<product/> multiply terms in a sequence
<limit/> limiting value of a sequence
<tendsto/> relation on sequences

Elementary Classical Functions:

<exp/> exponential function (MathML 2.0)
<ln/> natural logarithm
<log/> logarithm to given base
<logbase> base of the logarithm
<sin/> trig function
<cos/> trig function
<tan/> trig function
<sec/> trig function
<csc/> trig function
<cot/> trig function
<sinh/> hyperbolic trig function
<cosh/> hyperbolic trig function
<tanh/> hyperbolic trig function
<sech/> hyperbolic trig function
<csch/> hyperbolic trig function
<coth/> hyperbolic trig function
<arcsin/> inverse trig function
<arccos/> inverse trig function
<arctan/> inverse trig function
<arccot/> inverse trig function (MathML 2.0)
<arccsc/> inverse trig function (MathML 2.0)
<arcsec/> inverse trig function (MathML 2.0)
<arccosh/> inverse hyperbolic trig function (MathML 2.0)
<arccoth/> inverse hyperbolic trig function (MathML 2.0)
<arccsch/> inverse hyperbolic trig function (MathML 2.0)
<arcsech/> inverse hyperbolic trig function (MathML 2.0)
<arcsinh/> inverse hyperbolic trig function (MathML 2.0)
<arctanh/> inverse hyperbolic trig function (MathML 2.0)

Statistics:

<mean/> mean or average
<sdev/> standard deviation
<variance/> variance
<median/>median
<mode/>mode
<moment/>moment
<momentabout/> moment about a point (MathML 2.0)

Linear Algebra:

<vector>vector
<matrix>matrix
<matrixrow>matrix row
<determinant/>determinant
<transpose/>transpose
<selector/>select a matrix row or entry
<vectorproduct/> vector product (MathML 2.0)
<scalarproduct/> scalar product (MathML 2.0)
<outerproduct/> outer product (MathML 2.0)

Semantic Mapping Elements:

<annotation>
<semantics>
<annotation-xml>

Constant and Symbol Elements:

<integers> set of integers (MathML 2.0)
<reals> set of real numbers (MathML 2.0)
<rationals> set of rational numbers (MathML 2.0)
<naturalnumbers> set of natural numbers (MathML 2.0)
<complexes> set of complex numbers (MathML 2.0)
<primes> set of prime integers (MathML 2.0)
<exponentiale> base for natural logarithms, approx. 2.7183 (MathML 2.0)
<imaginaryi> square root of -1 (MathML 2.0)
<notanumber> placeholder for an ill-defined floating point operation (MathML 2.0)
<true> boolean constant (MathML 2.0)
<false> boolean constant (MathML 2.0)
<emptyset> the empty set (MathML 2.0)
<pi> Ratio of circumference to diameter for a circle, approx. 3.1416 (MathML 2.0)
<eulergamma> Euler's constant, approx. 0.5772 (MathML 2.0)
<infinity> Infinity (MathML 2.0)
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