isomorphism

Meanings

Plural: isomorphisms

Noun

• (biology) similarity or identity of form or shape or structure
• Similarity of form
• the similarity in form of organisms, which may be due to convergent evolution or shared genetic background, e.g. an algae species in which the haploid and diploid life stages are indistinguishable based on morphology.
• Similarity of form
• the similarity in the crystal structures of similar chemical compounds.
• Similarity of form
• the similarity in the structure or processes of different organizations.
• Similarity of form
• A one-to-one correspondence
• A bijection f such that both f and its inverse f⁻¹ are homomorphisms, that is, structure-preserving mappings.
• A one-to-one correspondence
• 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 one-to-one correspondence
• A morphism which has a two-sided inverse; the composition of the morphism and such an inverse yields either one of two identity morphisms (depending on the order of composition).

Synonyms

iso, isomorphy

Antonyms

anisomorphism

Related Words

Graph Isomorphism on Wolfram MathWorld, isomorphic, Isomorphism on Encyclopedia of Mathematics, isomorphism on nLab, Isomorphism on Wolfram MathWorld, isomorphous, Natural Isomorphism on Wolfram MathWorld