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What does isomorphic mean?

Looking for the meaning or definition of the word isomorphic? Here's what it means.

Adjective
  1. (mathematics) Related by an isomorphism; having a structure-preserving one-to-one correspondence.
  2. (biology) Having a similar structure or function to something that is not related genetically or through evolution.
  3. Having identical relevant structure; being structure-preserving while undergoing certain invertible transformations.
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Examples
It is believed that the gametophyte generation also had water-conducting tissue, cuticle, and stomata, making this species isomorphic.
In broad terms, two sentences are intensionally isomorphic if and only if their corresponding elements are L-equivalent.
Shannon found out that his equation was isomorphic with Boltzmann's equation of entropy.
It could hardly be denied that there is an isomorphic relationship between the social and individual disorders of capitalism.
The allegorist assumes that, when virtue imitates vice at the moment of attack, it can, by that very isomorphic imitation, destroy its opposite.
Also, objects that are not isomorphic in one category might become isomorphic when a functor is applied.

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