isomorphism

English

Etymology

iso- + -morphism

Pronunciation

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Noun

isomorphism (plural isomorphisms)

1. (biology) the similarity in form of organisms of different ancestry
2. (algebra) A bijection f such that both f and its inverse f ⁻¹ are homomorphisms, that is, structure-preserving mappings.
3. (chemistry) the similarity in the crystal structures of similar chemical compounds
4. (sociology) the similarity in the structure or processes of different organizations
5. (computer science) 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

Related terms

• isomorphic
• isomorphous

Translations

the similarity in form of organisms of different ancestry

Bulgarian: изоморфизъм (bg) m. Croatian: izomorfizam (hr) m. Czech: izomorfismus (cs) m. French: isomorphisme (fr) m. Hungarian: izomorfizmus (hu)

Italian: isomorfismo (it) m. Portuguese: isomorfismo (pt) m. Russian: изоморфизм (ru) m. Spanish: isomorfismo (es) m. Ukrainian: ізоморфізм (uk) m.

bidirectionally structure-preserving bijection

Czech: izomorfismus (cs) m. Esperanto: izomorfio (eo)

German: Isomorphismus (de) m. Spanish: isomorfismo (es) m.

See also

• Isomorphism on Wikipedia.Wikipedia