isomorphism
[/ˌaɪ.səˈmɔr.fɪ.zəm/]
nounmasculinepl: isomorphisms
isomorfismo
1. A correspondence or similarity in form or structure between different things, organisms, or systems
The isomorphism between the two crystal structures revealed their identical atomic arrangements.
O isomorfismo entre as duas estruturas cristalinas revelou seus arranjos atômicos idênticos.
2. In mathematics, a structure-preserving map between two algebraic structures of the same type
The group homomorphism is actually an isomorphism because it is bijective.
O homomorfismo de grupo é na verdade um isomorfismo porque é bijetivo.
3. In chemistry and crystallography, the ability of different substances to crystallize in the same or similar forms
Isomorphism allows zinc sulfate and ferrous sulfate to form crystals with nearly identical shapes.
O isomorfismo permite que sulfato de zinco e sulfato ferroso formem cristais com formas quase idênticas.
Isomorphism is a specialized term primarily used in academic and scientific contexts in both Brazil and the USA. It is central to modern mathematics, particularly in abstract algebra and category theory, and is essential terminology in chemistry and crystallography courses. The term is rarely used in casual conversation and is restricted to educated, technical discourse. In both Brazilian and American universities, understanding isomorphism is considered fundamental to advanced mathematics and science education.
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