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
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
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
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
Расстановка переносов
i·so·mor·phism
Турецкое произношение
aysımôrfîzım
Произношение
/ˌīsəˈmôrfəzəm/ /ˌaɪsəˈmɔːrfɪzəm/
Этимология
() From Ancient Greek ἴσος (isos, “equal”) + μορφή (morphē, “shape”)