1. Plural of isomorphism; instances of a one-to-one correspondence or structural similarity between two mathematical or logical systems that preserves their essential properties.
Usage: mathematics; logic; technical
2. In chemistry and crystallography, plural instances of the property of substances having the same crystal form despite different chemical composition.
Usage: chemistry; crystallography; technical

Examples

• The two algebraic structures exhibit multiple isomorphisms that preserve their group operations.
• Mathematicians discovered several isomorphisms between the two seemingly different geometric systems.
• In graph theory, isomorphisms allow us to identify when two networks have identical structure.
• The chemist identified isomorphisms among the mineral samples based on their crystal lattices.
• These isomorphisms demonstrate that the two logical systems are fundamentally equivalent.