isomorphism

noun

(biology) 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.

The isomorphism between the two species is evident in their physical characteristics.

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意味（1）

意味（2）

(chemistry) the similarity in the crystal structures of similar chemical compounds

The isomorphism of compounds does not prove the isomorphism of their respective constituents.

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意味（3）

(sociology) the similarity in the structure or processes of different organizations

意味（4）

(group algebra) A bijection f such that both f and its inverse f⁻¹ are homomorphisms, that is, structure-preserving mappings.

意味（5）

意味（6）

(category theory) 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).

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isomorphism

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