preimage of element
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Préimage — Antécédent (mathématiques) Pour les articles homonymes, voir Antécédent. Sommaire 1 Définition 1.1 Exemples 2 … Wikipédia en Français
preimage — noun The set containing exactly every member of the domain of a function such that the member is mapped by the function onto an element of a given subset of the codomain of the function. Formally, of a subset B of the codomain Y under a function… … Wiktionary
Function (mathematics) — f(x) redirects here. For the band, see f(x) (band). Graph of example function, In mathematics, a function associates one quantity, the a … Wikipedia
Implementation of mathematics in set theory — This article examines the implementation of mathematical concepts in set theory. The implementation of a number of basic mathematical concepts is carried out in parallel in ZFC (the dominant set theory) and in NFU, the version of Quine s New… … Wikipedia
Kernel (algebra) — In the various branches of mathematics that fall under the heading of abstract algebra, the kernel of a homomorphism measures the degree to which the homomorphism fails to be injective. An important special case is the kernel of a matrix, also… … Wikipedia
Lamport signature — In cryptography, a Lamport signature or Lamport one time signature scheme is a method for constructing a digital signature. Lamport signatures can be built from any cryptographically secure one way function; usually a cryptographic hash function… … Wikipedia
Radical of an ideal — In ring theory, a branch of mathematics, the radical of an ideal is a kind of completion of the ideal. There are several special radicals associated with the entire ring such as the nilradical and the Jacobson radical , which isolate certain bad… … Wikipedia
Inverse function — In mathematics, if fnof; is a function from A to B then an inverse function for fnof; is a function in the opposite direction, from B to A , with the property that a round trip (a composition) from A to B to A (or from B to A to B ) returns each… … Wikipedia
Pin group — In mathematics, the pin group is a certain subgroup of the Clifford algebra associated to a quadratic space. It maps 2 to 1 to the orthogonal group, just as the spin group maps 2 to 1 to the special orthogonal group.In general the map from the… … Wikipedia
Quaternion — Quaternions, in mathematics, are a non commutative extension of complex numbers. They were first described by the Irish mathematician Sir William Rowan Hamilton in 1843 and applied to mechanics in three dimensional space. They find uses in both… … Wikipedia
Image (mathematics) — In mathematics, the image of a preimage under a given function is the set of all possible function outputs when taking each element of the preimage, successively, as the function s argument. DefinitionIf f : X → Y is a function from set X to set… … Wikipedia
