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isomorphism
(redirected from Isomorphisms)

   Also found in: Medical, Encyclopedia, Wikipedia 0.01 sec.
i·so·mor·phism  (s-môrfzm)
n.
1. Biology Similarity in form, as in organisms of different ancestry.
2. Mathematics A one-to-one correspondence between the elements of two sets such that the result of an operation on elements of one set corresponds to the result of the analogous operation on their images in the other set.
3. A close similarity in the crystalline structure of two or more substances of similar chemical composition.

iso·morphous adj.

isomorphism [ˌaɪsəʊˈmɔːfɪzəm]
n
1. (Life Sciences & Allied Applications / Biology) Biology similarity of form, as in different generations of the same life cycle
2. (Chemistry) Chem the existence of two or more substances of different composition in a similar crystalline form
3. (Mathematics) Maths a one-to-one correspondence between the elements of two or more sets, such as those of Arabic and Roman numerals, and between the sums or products of the elements of one of these sets and those of the equivalent elements of the other set or sets

isomorphism  (s-môrfzm)
1. Similarity in form, as in organisms of different ancestry.
2. A one-to-one correspondence between the elements of two sets such that the result of an operation on elements of one set corresponds to the result of the analogous operation on their images in the other set.
3. A close similarity in the crystalline structure of two or more substances of different chemical composition. Isomorphism is seen, for example, in the group of minerals known as garnets, which can vary in chemical composition but always have the same crystal structure.

isomorphism
close similarity between the forms of different crystals. See also biology. — isomorph, n.isomorphic, adj.
See also: Physics
similarity in the form or structure of organisms that belong to a different species or genus. — isomorph, n.isomorphic, adj.
See also: Biology
ThesaurusLegend:  Synonyms Related Words Antonyms
Noun1.isomorphism - (biology) similarity or identity of form or shape or structure
similarity - the quality of being similar
biological science, biology - the science that studies living organisms
Translations
isomorphism [ˌaɪsəʊˈmɔːfɪzm] nisomorfismo


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Their topics include quantum polynomials, isomorphisms and derivations of algebras, semigroup properties of cooperations on finite sets, continuous co-algebra endomorphisms of some complete ultra-metric Hopf algebras, irreducible sub-algebras of matrix Weyl algebras, the length of conjugacy classes and P-nilpotence of finite groups, a symbolic calculus on defect revisions of axiomatic systems, and conformal field theory and modular functor.
If V is a simple Euclidean Jordan algebra of rank r and dimension n, then the following isomorphisms [equivalent] hold.
Furthermore, in the case of Riesz bases we prove that those functions are isomorphisms.
 
 
 
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