Definition of "isomorphic"

isomorphic

/ˌaɪ.səˈmɔː.fɪk/

adjective
not comparable
1. (mathematics) Related by an isomorphism; having a structure-preserving one-to-one correspondence.
  Quotations
  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.
  2003, Bernd Siegfried Walter Schröder, Ordered Sets: An Introduction, page 254
2. (biology) Having a similar structure or function to something that is not related genetically or through evolution.
  Quotations
  The fact that different structures can be shown to be functionally isomorphic implies that they are analogous, not homologous.
  1993, Marcus Jacobson, Foundations of Neuroscience, page 106
3. Having identical relevant structure; being structure-preserving while undergoing certain invertible transformations.
  Quotations
  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.
  1981, John Lyons, Language and Linguistics: An Introduction, page 60