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  2. 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.

  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. Exercise (mathematics) - Wikipedia

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

    An artificially produced word problem is a genre of exercise intended to keep mathematics relevant. Stephen Leacock described this type: [1] The student of arithmetic who has mastered the first four rules of his art and successfully striven with sums and fractions finds himself confronted by an unbroken expanse of questions known as problems ...

  5. Support (mathematics) - Wikipedia

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

    In mathematics, the support of a real-valued function is the subset of the function domain of elements that are not mapped to zero. If the domain of is a topological space, then the support of is instead defined as the smallest closed set containing all points not mapped to zero.

  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. Algebraic function - Wikipedia

    en.wikipedia.org/wiki/Algebraic_function

    A composition of transcendental functions can give an algebraic function: = ⁡ ⁡ =. As a polynomial equation of degree n has up to n roots (and exactly n roots over an algebraically closed field , such as the complex numbers ), a polynomial equation does not implicitly define a single function, but up to n functions, sometimes also called ...

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