Meaning ofisomorphismin English

Noun

1. a similarity in crystal structures; chemical compounds
   The researcher discovered an isomorphism in the crystal structures of the two minerals.
2. a similarity in structure; different organizations
   The company's organizational isomorphism with its competitor allowed for a smooth merger.
3. a one-to-one correspondence; structure-preserving mappings
   The mathematician proved the existence of an isomorphism between the two algebraic groups.
4. a bijective morphism; with a two-sided inverse
   The concept of isomorphism implies a bijective morphism with a two-sided inverse.
5. a bijective mapping between two sets; preserving structure
   The isomorphism between the two graphs preserves their structural properties.
6. similarity in form between organisms; due to evolution or genetics
   The biologist studied the isomorphism between the wing of a bird and the fin of a fish.
7. a reversible morphism; with a two-sided inverse
   The mathematician demonstrated an isomorphism between the two mathematical structures.