Translation guide
The concept of isomorphism—a structural correspondence between two systems—is expressed in Japanese primarily through the technical term 同型 (どうけい) in mathematics and computer science, and 異種同形 (いしゅどうけい) in biology. For general or metaphorical use, descriptive phrases are more natural.
A one-to-one structure-preserving mapping between two sets or systems.
Similarity in form or structure between different species or organisms.
Biological term for isomorphism, referring to structural similarity between different species.
A structural parallel or correspondence between different domains, systems, or ideas.
There is no single natural Japanese word for metaphorical isomorphism. Instead, use phrases like 構造的に対応している (structurally correspond) or 同じ構造を持つ (have the same structure).
Directly translating 'isomorphism' as 同型 outside of technical contexts can sound unnatural or overly academic. In everyday language, rephrase to describe the structural similarity.
Standard technical term for isomorphism in mathematics, logic, and computer science. Often used in compounds like 同型写像 (isomorphism mapping).
These two groups are isomorphic.
Sometimes used interchangeably with 同型, but can also mean 'same shape' in non-technical contexts. In mathematics, 同型 is preferred for abstract structure, while 同形 may emphasize literal shape.
Determine the isomorphism of graphs.
Specifically 'isomorphism mapping' or 'isomorphism map', used when emphasizing the function itself.
Construct an isomorphism mapping.
These organisms exhibit isomorphism.
Can be used in biology to mean 'same form', but less specific than 異種同形. Context clarifies whether it refers to mathematical or biological isomorphism.
Isomorphic organs are found in different species.
These two theories are isomorphic.
An isomorphism can be seen between the two.
Noun meaning 'isomorphism' as a property. Can be used in broader intellectual contexts, but still sounds somewhat technical.
Discuss the isomorphism of cultures.