an isomorphism from a structure to itself. An isomorphism between two structures is a canonical isomorphism (a canonical map that is an isomorphism) if...
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Look up isomorphism or isomorph in Wiktionary, the free dictionary. Isomorphism or isomorph may refer to: Isomorphism, in mathematics, logic, philosophy...
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the mathematical field of topology a uniform isomorphism or uniform homeomorphism is a special isomorphism between uniform spaces that respects uniform...
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mathematics, specifically abstract algebra, the isomorphism theorems (also known as Noether's isomorphism theorems) are theorems that describe the relationship...
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in accordance with the general notion of isomorphism being a structure-preserving bijection. If an isomorphism exists between two graphs, then the graphs...
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branch of mathematics, the isomorphism extension theorem is an important theorem regarding the extension of a field isomorphism to a larger field. The theorem...
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science Can the graph isomorphism problem be solved in polynomial time? More unsolved problems in computer science The graph isomorphism problem is the computational...
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graph isomorphism. Fractional isomorphism is the coarsest of several different relaxations of graph isomorphism. Whereas the graph isomorphism problem...
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specifically, in differential geometry—the musical isomorphism (or canonical isomorphism) is an isomorphism between the tangent bundle T M {\displaystyle \mathrm...
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In mathematics, a Borel isomorphism is a measurable bijective function between two standard Borel spaces. By Souslin's theorem in standard Borel spaces...
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Isomorphism problem may refer to: graph isomorphism problem group isomorphism problem isomorphism problem of Coxeter groups This disambiguation page lists...
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that subgraph isomorphism remains NP-complete even in the planar case. Subgraph isomorphism is a generalization of the graph isomorphism problem, which...
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bijective correspondence. Thus, the definition of an isomorphism is quite natural. An isomorphism of groups may equivalently be defined as an invertible...
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institutional isomorphism and collective rationality in organizational fields. The term is borrowed from the mathematical concept of isomorphism. Isomorphism in...
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of order theory, an order isomorphism is a special kind of monotone function that constitutes a suitable notion of isomorphism for partially ordered sets...
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The term isomorphism literally means sameness (iso) of form (morphism). In Gestalt psychology, Isomorphism is the idea that perception and the underlying...
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Homeomorphism (redirect from Topological isomorphism)
Diffeomorphism – Isomorphism of differentiable manifolds Uniform isomorphism – Uniformly continuous homeomorphism is an isomorphism between uniform spaces...
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different sizes of the atoms involved. Mitscherlich's law of isomorphism, or the law of isomorphism, is an approximate law suggesting that crystals composed...
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isomorphism entails elementary equivalence, however the converse is not generally true, but it holds for ω-saturated models. A potential isomorphism between...
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Natural transformation (redirect from Natural isomorphism)
{\displaystyle \eta _{X}} is an isomorphism in D {\displaystyle D} , then η {\displaystyle \eta } is said to be a natural isomorphism (or sometimes natural equivalence...
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geometric version of the Satake isomorphism, proved by Ivan Mirković and Kari Vilonen (2007). Classical Satake isomorphism. Let G {\displaystyle G} be a...
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notion of computability on a set. By the Myhill isomorphism theorem, the relation of computable isomorphism coincides with the relation of mutual one-one...
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An isomorph is an organism that does not change in shape during growth. The implication is that its volume is proportional to its cubed length, and its...
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Thom space (redirect from Thom isomorphism)
B} be a real vector bundle of rank n. Then there is an isomorphism called a Thom isomorphism Φ : H k ( B ; Z 2 ) → H ~ k + n ( T ( E ) ; Z 2 ) , {\displaystyle...
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Riesz representation theorem (redirect from Riesz isomorphism)
two are isometrically anti-isomorphic. The (anti-) isomorphism is a particular natural isomorphism. Let H {\displaystyle H} be a Hilbert space over a...
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In mathematics, an exceptional isomorphism, also called an accidental isomorphism, is an isomorphism between members ai and bj of two families, usually...
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isomorphism problem is the decision problem of determining whether two given finite group presentations refer to isomorphic groups. The isomorphism problem...
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identical and differ only in the notation of their objects and morphisms. Isomorphism of categories is a very strong condition and rarely satisfied in practice...
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graph theory, the Weisfeiler Leman graph isomorphism test is a heuristic test for the existence of an isomorphism between two graphs G and H. It is a generalization...
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Linear map (redirect from Linear isomorphism)
homomorphism. If a linear map is a bijection then it is called a linear isomorphism. In the case where V = W {\displaystyle V=W} , a linear map is called...
43 KB (7,001 words) - 09:24, 10 March 2025