Isomorphic

Isomorphic describes a structural similarity or correspondence between two or more distinct entities (objects, structures, systems). The entities are considered isomorphic if their elements can be mapped onto each other in a way that preserves the relationships and properties of those elements. This means that operations or transformations in one entity have equivalent counterparts in the other, maintaining an identical structure even if the specific content differs. The term is widely used in mathematics, computer science, and other fields to express a form of structural equivalence.

Isomorphic meaning with examples

• Mathematicians found the two groups of permutations to be isomorphic, indicating that their algebraic structures were identical, even though the elements themselves were different. The operations applied in one group mapped perfectly onto corresponding operations in the other group.
• The computer program's data structures were designed to be isomorphic to the physical layout of the network, allowing for a more intuitive and efficient way to manage network resources and troubleshoot issues related to the infrastructure.
• The visual and auditory representations of the music were found to be isomorphic. The patterns in the visual arrangement of shapes corresponded directly to the melodic and rhythmic structure of the corresponding sound piece.
• The chemical structures of the two molecules were deemed to be isomorphic. The molecules' atoms could be mapped onto each other while maintaining the same arrangements and chemical bonds that determined their fundamental properties.
• In comparative literature, the structure of the two epic poems were determined to be isomorphic. Their narratives had a shared set of features like a hero's journey, even though the cultures in which they originated were distinct.