isomorphism

listen to the pronunciation of isomorphism
English - Turkish
(Matematik) eşyapı dönüşümü
(Biyoloji) izomorfizma
eşyapılılık
izomorfizm

Çok az sayıda dilin görsel-işitsel izomorfizmi var. - Few languages have audio-visual isomorphism.

(Tıp) Aynı şekilde olma, şekil benzerliği (eşitliği), izomorfizm
denkeşyapıcılık,izomorfizm
eşbiçimlilik

Related Terms

linear isomorphism
doğrusal eşyapı dönüşümü
linear isomorphism
doğrusal esyapi dönüşümü
English - English
the similarity in the structure or processes of different organizations
a one-to-one correspondence between all the elements of two sets, e.g. the instances of two classes, or the records in two datasets
A bijection f such that both f and its inverse f −1 are homomorphisms, that is, structure-preserving mappings
the similarity in form of organisms of different ancestry
the similarity in the crystal structures of similar chemical compounds
a correspondence between symbols in a string and meanings in the real world For example, in the pq-system, p is an isomorphism for plus; q is an isomorphism for equals and - is an isomorphism for 1
A one-to-one correspondence between a perceived object and its internal representation (Solso)
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 similarity of form between substances of unlike composition, which is more properly called homœomorphism
1 to 1 or bijective
An isomorphism is a homomorphism which is also a bijection (one-to-one and onto) In other words, it is a one-to-one correspondence between two objects which preserves all their mathematical structure Two objects connected by an isomorphism are called isomorphic, and are identical from the algebraic point of view Sometimes it is not clear exactly what structure is being preserved For example, for Latin squares, are the roles of rows, columns and symbols interchangeable? If not, then the relation is called "isotopy", and the classes are "isotopy classes"; if they are, the classes are called "main classes" Other terminology is also used
{i} identity or similarity of form or appearance (Biology)
Statistical co-crystallization of units having different repeating constituents, which may either belong to the same copolymer chains (copolymer isomorphism) or originate from different homopolymer chains (homopolymer isomorphism) Isomorphism is a general term; in the strict sense, the crystal structure is essentially the same throughout the range of compositions Pure and Appl chem, 1989, 61, 769 IUPAC Macromolecular Nomenclature for Crystalline polymers
a one-to-one correspondence between all the elements of two sets such that any operation returns the same result on either set; a function that maps one of these sets to the other
a one-to-one mapping between two sets that preserves the relationship of elements under corresponding operations on each set
(biology) similarity or identity of form or shape or structure
A mapping between mathematical strucures of the same type that preserves the structure and is both injective (1-to-1) and surjective (onto) Isomorphic objects are essentially the same with respect to the preserved structure
isomorphism

    Hyphenation

    i·so·mor·phism

    Turkish pronunciation

    aysımôrfîzım

    Pronunciation

    /ˌīsəˈmôrfəzəm/ /ˌaɪsəˈmɔːrfɪzəm/

    Etymology

    () From Ancient Greek ἴσος (isos, “equal”) + μορφή (morphē, “shape”)
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