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  2. Function composition - Wikipedia

    en.wikipedia.org/wiki/Function_composition

    If an airplane's altitude at time t is a(t), and the air pressure at altitude x is p(x), then (p ∘ a)(t) is the pressure around the plane at time t. Function defined on finite sets which change the order of their elements such as permutations can be composed on the same set, this being composition of permutations.

  3. List of types of functions - Wikipedia

    en.wikipedia.org/wiki/List_of_types_of_functions

    Composite function: is formed by the composition of two functions f and g, by mapping x to f (g(x)). Inverse function: is declared by "doing the reverse" of a given function (e.g. arcsine is the inverse of sine). Implicit function: defined implicitly by a relation between the argument(s) and the value.

  4. Composition algebra - Wikipedia

    en.wikipedia.org/wiki/Composition_algebra

    The possible dimensions of a composition algebra are 1, 2, 4, and 8. [2] [3] [4] 1-dimensional composition algebras only exist when char(K) ≠ 2. Composition algebras of dimension 1 and 2 are commutative and associative. Composition algebras of dimension 2 are either quadratic field extensions of K or isomorphic to K ⊕ K.

  5. Support (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Support_(mathematics)

    In practice however, the support of a discrete random variable is often defined as the set = {: (=) >} and the support of a continuous random variable is defined as the set = {: >} where () is a probability density function of (the set-theoretic support).

  6. Elementary function - Wikipedia

    en.wikipedia.org/wiki/Elementary_function

    In mathematics, an elementary function is a function of a single variable (typically real or complex) that is defined as taking sums, products, roots and compositions of finitely many polynomial, rational, trigonometric, hyperbolic, and exponential functions, and their inverses (e.g., arcsin, log, or x 1/n).

  7. Composition of relations - Wikipedia

    en.wikipedia.org/wiki/Composition_of_relations

    Another form of composition of relations, which applies to general -place relations for , is the join operation of relational algebra. The usual composition of two binary relations as defined here can be obtained by taking their join, leading to a ternary relation, followed by a projection that removes the middle component.

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