isomorphism

Definition from Wiktionary, a free dictionary

Contents 1 English 1.1 Etymology 1.2 Noun 1.2.1 Related terms 1.2.2 Translations

[edit] English

Wikipedia

[edit] Etymology

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

[edit] 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

[edit] Related terms

• isomorphic
• isomorphous

[edit] Translations