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### Science & Tech > Mathematics > Functions, Groups, Sets

Now updated for CSW19. New words, if any, and new inflections of existing words, are shown in red.

 abelian a term in group theory designating a type of commutative group. bijection in maths, a kind of mapping function. bijective having the properties of a bijection, a kind of mapping function. cardinality the number of elements in a given mathematical set. codomain a set of values that a function is allowed to take. coset a set which when added to another set results in a larger set. covariance the property of varying concomitantly. covariant a function of the coefficients and variables of a given function which is invariant under a linear transformation except for a factor equal to a power of the determinant of the transformation. covariation the correlated variation of two or more variables. covary to vary in a covariant way. differential relating to a difference (noun) the product of the derivative of a function of one variable by the increment of the independent variable differentially (Adv.) DIFFERENTIAL, relating to a difference. eigenfunction each of a set of independent functions which are the solutions to a given differential equation. eigenvalue mathematical term relating to solutions of an equation. eigenvector a vector which when operated on by a given operator gives a scalar multiple of that vector. groupoid a type of mathematical set. holomorphic of a function of a complex variable, having a derivative at each point of its domain. homography a type of transformation that maps straight lines onto another plane. injective being a one to one mathematical function. integrand a function to be integrated. maximal pertaining to the maximum (noun) an element of a mathematical set that is followed by no other maximin the highest value in a set of minimum values. minimal relating to the minimum (noun) a term in a mathematical set preceding all others minimally (Adv.) MINIMAL, relating to the minimum. orthonormal orthogonal with the integral of the square of each function over a specified interval equal to one. parameterise to set parameters for. parameterize to set parameters for. permutation the arrangement of a set of things in every possible order. quantic a rational integral homogeneous function of two or more variables. quantical of or like a quantic, a homogeneous algebraic function of two or more variables. quartic of the fourth degree; (noun) a function, curve or surface of the fourth degree. recursive involving or designating a repeated procedure such that the required result at each step except the last is given in terms of the result(s) of the next step. recursively (Adv.) RECURSIVE, involving or designating a repeated procedure such that the required result at each step except the last is given in terms of the result(s) of the next step. subset a mathematical set contained within a larger set. superset a set that includes all the elements of another set plus further elements. supremum in maths, a maximum bound. surjection a mapping function in which all elements in one set correspond to all elements in another set. surjective relating to surjection, a mapping function in which all elements in one set correspond to all elements in another set.