Isomorphism

usgb/aɪ.soʊˈmɔr.fɪ.zəm/
noun

A mathematical concept where two structures can be shown to be equivalent in form or function.

In mathematics, two algebraic structures that can be transformed into each other are said to exhibit isomorphism.
Visual representation of "isomorphism" - A mathematical concept where two structures can be shown to be equivalent in form or function.

Usage tips

Formal

group isomorphism,isomorphic mapping,structural isomorphism

Definition 1 of 2
Visual representation of "isomorphism"
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Mathematics

Isomorphic relationships are pivotal in understanding complex systems.

Illustration for Mathematics
In abstract algebra, understanding isomorphism can simplify many problems.
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Computer Science

In data structures, isomorphism helps in designing efficient algorithms.

Illustration for Computer Science
Recognizing an isomorphic relationship can reduce the complexity of solving a problem.
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Biology

In biology, isomorphism can describe similar developmental stages across different species.

Illustration for Biology
Identifying isomorphic traits between species can provide insights into evolutionary biology.
Visual representation of the word "Isomorphism"

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