Definitions for isomorphism
ˌaɪ səˈmɔr fɪz əmiso·mor·phism

Princeton's WordNetRate this definition:0.0 / 0 votes

1. isomorphism, isomorphynoun

   (biology) similarity or identity of form or shape or structure

GCIDERate this definition:0.0 / 0 votes

1. Isomorphismnoun

   (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 similarity of form between substances of unlike composition, which is more properly called hom

WiktionaryRate this definition:0.0 / 0 votes

1. isomorphismnoun

   Similarity of form

2. isomorphismnoun

   the similarity in form of organisms of different ancestry

3. isomorphismnoun

   A bijection f such that both f and its inverse f are homomorphisms, that is, structure-preserving mappings.

4. isomorphismnoun

   the similarity in the crystal structures of similar chemical compounds

5. isomorphismnoun

   the similarity in the structure or processes of different organizations

6. isomorphismnoun

   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

WikipediaRate this definition:0.0 / 0 votes

1. Isomorphism

   In mathematics, an isomorphism is a structure-preserving mapping between two structures of the same type that can be reversed by an inverse mapping. Two mathematical structures are isomorphic if an isomorphism exists between them. The word isomorphism is derived from the Ancient Greek: ἴσος isos "equal", and μορφή morphe "form" or "shape". The interest in isomorphisms lies in the fact that two isomorphic objects have the same properties (excluding further information such as additional structure or names of objects). Thus isomorphic structures cannot be distinguished from the point of view of structure only, and may be identified. In mathematical jargon, one says that two objects are the same up to an isomorphism.An automorphism is an isomorphism from a structure to itself. An isomorphism between two structures is a canonical isomorphism (a canonical map that is an isomorphism) if there is only one isomorphism between the two structures (as it is the case for solutions of a universal property), or if the isomorphism is much more natural (in some sense) than other isomorphisms. For example, for every prime number p, all fields with p elements are canonically isomorphic, with a unique isomorphism. The isomorphism theorems provide canonical isomorphisms that are not unique. The term isomorphism is mainly used for algebraic structures. In this case, mappings are called homomorphisms, and a homomorphism is an isomorphism if and only if it is bijective.

Webster DictionaryRate this definition:0.0 / 0 votes

1. Isomorphismnoun

   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 homoeomorphism

2. Etymology: [Cf. F. isomorphisme.]

WikidataRate this definition:0.0 / 0 votes

1. Isomorphism

   In abstract algebra, an isomorphism is a bijective homomorphism. Two mathematical structures are said to be isomorphic if there is an isomorphism between them. In essence, two objects are isomorphic if they are indistinguishable given only a selection of their features, and the isomorphism is the mapping of the set elements and the selected operations between the objects. A named isomorphism indicates which features are selected for this purpose. Thus, for example, two objects may be group isomorphic without being ring isomorphic, since the latter isomorphism selects the additional structure of the multiplicative operator. In category theory, an isomorphism is a morphism f: X → Y in a category for which there exists an "inverse" f −1: Y → X, with the property that both f −1f = idX and f f −1 = idY.

Chambers 20th Century DictionaryRate this definition:0.0 / 0 votes

1. Isomorphism

   ī-so-morf′izm, n. a term applied by chemists to those substances which are not only similar in their crystalline form, but are also analogous in their chemical composition.—adj. Isomorph′ous. [Gr. isos, equal, morphē, form.]

Matched Categories

1. • Biology
   • Similarity

How to pronounce isomorphism?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

   Australian

   Veena

   Indian

   Priya

   Indian

   Neerja

   Indian

   Zira

   US English

   Oliver

   British

   Wendy

   British

   Fred

   US English

   Tessa

   South African

How to say isomorphism in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of isomorphism in Chaldean Numerology is: 9

2. Pythagorean Numerology

   The numerical value of isomorphism in Pythagorean Numerology is: 1

Popularity rank by frequency of use

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=isomorphism
2. ^ GCIDE
   https://gcide.gnu.org.ua/?q=isomorphism
3. ^ Wiktionary
   https://en.wiktionary.org/wiki/Isomorphism
4. ^ Wikipedia
   https://en.wikipedia.org/wiki/Isomorphism
5. ^ Webster Dictionary
   https://www.merriam-webster.com/dictionary/isomorphism
6. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=isomorphism
7. ^ Chambers 20th Century Dictionary
   https://www.gutenberg.org/files/37683/37683-h/37683-h.htm#:~:text=isomorphism