preimage of point
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Point groups in three dimensions — In geometry, a point group in three dimensions is an isometry group in three dimensions that leaves the origin fixed, or correspondingly, an isometry group of a sphere. It is a subgroup of the orthogonal group O(3), the group of all isometries… … Wikipedia
Preimage theorem — In mathematics, particularly in differential topology, the preimage theorem is a theorem concerning the preimage of particular points in a manifold under the action of a smooth map.tatement of Theorem Definition. Let f: X o Y,! be a smooth map… … Wikipedia
Particular point topology — In mathematics, the particular point topology (or included point topology) is a topology where sets are considered open if they are empty or contain a particular, arbitrarily chosen, point of the topological space. Formally, let X be any set and… … Wikipedia
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
One-way compression function — In cryptography, a one way compression function is a function that transforms two fixed length inputs to an output of the same size as one of the inputs. The transformation is one way , meaning that it is difficult given a particular output to… … Wikipedia
Dessin d'enfant — In mathematics, a dessin d enfant (French for a child s drawing , plural dessins d enfants, children s drawings ) is a type of graph drawing used to study Riemann surfaces and to provide combinatorial invariants for the action of the absolute… … Wikipedia
Fibré — Pour l’article homonyme, voir Fibre. Ne pas confondre avec une fibration ni avec un espace filtré. En mathématiques, un espace fibré est la donnée d un espace topologique appelé espace total muni d une projection continue sur un … Wikipédia en Français
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
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
Fiber bundle — In mathematics, in particular in topology, a fiber bundle (or fibre bundle) is a space which looks locally like a product space. It may have a different global topological structure in that the space as a whole may not be homeomorphic to a… … Wikipedia
Degre d'une application — Degré d une application Pour les articles homonymes, voir degré. Le degré d une application continue entre variétés de même dimension est une généralisation de la notion d enroulement d un cercle sur lui même. C est un invariant homologique à… … Wikipédia en Français
