isomorphism

isomorphism
isomorphism [ī΄sō môr′fiz΄əm, ī΄sə môr′fiz΄əm]
n.
[< ISOMORPHIC + -ISM]
1. Biol. a similarity in appearance or structure of organisms belonging to different species or races
2. Chem. an identity or close similarity in the crystalline form of substances usually containing different elements but having similar composition
3. Math. a one-to-one correspondence between two mathematical systems, sets, etc. that preserves the basic operations, as the correspondence between binary numbers and decimal numbers, each a set of real numbers

English World dictionary. . 2014.

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  • Isomorphism — I so*mor phism, n. [Cf. F. isomorphisme.] 1. (Crystallog.) A similarity of crystalline form between substances of similar composition, as between the sulphates of barium ({BaSO4}) and strontium ({SrSO4}). It is sometimes extended to include… …   The Collaborative International Dictionary of English

  • isomorphism — from Ger. Isomorphismus, 1828, coined by German chemist Eilhard Mitscherlich (1794 1863) from isomorph; see ISOMORPHIC (Cf. isomorphic). Related: Isomorph …   Etymology dictionary

  • Isomorphism — In abstract algebra, an isomorphism (Greek: ἴσος isos equal , and μορφή morphe shape ) is a bijective map f such that both f and its inverse f −1 are homomorphisms, i.e., structure preserving mappings.In the more general setting of category… …   Wikipedia

  • isomorphism — izomorfizmas statusas T sritis chemija apibrėžtis Atomų (jonų, molekulių) gebėjimas pakeisti vienas kitą to paties tipo kristalinėje gardelėje. atitikmenys: angl. isomorphism rus. изоморфизм …   Chemijos terminų aiškinamasis žodynas

  • isomorphism — izomorfizmas statusas T sritis fizika atitikmenys: angl. isomorphism vok. Isomorphie, f rus. изоморфизм, m pranc. isomorphie, f; isomorphisme, m …   Fizikos terminų žodynas

  • isomorphism — izomorfizmas statusas T sritis augalininkystė apibrėžtis Morfologinis besikeičiančių diploidinių ir haploidinių kartų panašumas. atitikmenys: angl. isomorphism rus. изоморфизм …   Žemės ūkio augalų selekcijos ir sėklininkystės terminų žodynas

  • isomorphism — isomorphic ► ADJECTIVE ▪ corresponding in form and relations. DERIVATIVES isomorphism noun isomorphous adjective …   English terms dictionary

  • Isomorphism (disambiguation) — Isomorphism may refer to:* Isomorphism, in mathematics, a mapping that preserves the structure * Group isomorphism, in mathematics, a mapping that preserves the group structure * Ring isomorphism, in mathematics, a mapping that preserves both the …   Wikipedia

  • Isomorphism theorem — In mathematics, specifically abstract algebra, the isomorphism theorems are three theorems that describe the relationship between quotients, homomorphisms, and subobjects. Versions of the theorems exist for groups, rings, vector spaces, modules,… …   Wikipedia

  • Isomorphism class — An isomorphism class is a collection of mathematical objects isomorphic with a certain mathematical object. A mathematical object usually consists of a set and some mathematical relations and operations defined over this set.Isomorphism classes… …   Wikipedia

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