1. A correspondence or similarity in form or structure between different things, especially organisms or languages.
Usage: general usage
2. In mathematics, a one-to-one correspondence between elements of two algebraic structures that preserves the operations defined on those structures.
Usage: mathematics; technical
3. In chemistry and crystallography, a similarity in crystal form between different chemical compounds.
Usage: chemistry; technical

Examples

• Linguists discovered an isomorphism between the grammatical structures of the two languages.
• In group theory, an isomorphism shows that two groups have the same algebraic structure.
• The isomorphism between the two crystal forms suggests they have similar chemical compositions.
• Biologists noted an isomorphism in the skeletal structures of different mammal species.
• The mathematician proved an isomorphism between the two vector spaces.
• Researchers found striking isomorphisms in the neural patterns of different animal brains.