isomorphic

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English[edit]

Etymology[edit]

From iso- +‎ -morphic.

Pronunciation[edit]

Adjective[edit]

isomorphic (not comparable)

  1. (mathematics) Related by an isomorphism; having a structure-preserving one-to-one correspondence.
    • 2003, Bernd Siegfried Walter Schröder, page 254
      Let A, B be the ordered sets in Figure 10.3. Let C be the direct product of infinitely many copies of the two element chain 2. Then AC is isomorphic to BC, but A is not isomorphic to B.
  2. (biology) Having a similar structure or function to something that is not related genetically or through evolution.
    • 1993, Marcus Jacobson, Foundations of Neuroscience, page 106
      The fact that different structures can be shown to be functionally isomorphic implies that they are analogous, not homologous.
  3. Having identical relevant structure; being structure-preserving while undergoing certain invertible transformations.
    • 1981, John Lyons, Language and Linguistics: An Introduction, page 60
      For example, in so far as written and spoken English are isomorphic (i.e. have the same structure), they are the same language: there is nothing but their structure that they have in common.

Usage notes[edit]

  • In mathematics, this adjective can be used in phrases like "A and B are isomorphic", "A is isomorphic to B", and, less commonly, "A is isomorphic with B".

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