## ISOMORPHISM

### Isomorphism

In mathematics, an isomorphism, from the Greek: ἴσος isos "equal", and μορφή morphe "shape", is an invertible way of relating one structured object to another. This means that there is a way of relating the second structured object to the first in such a way that composing these two relations in one order identifies the first object with itself and composing them in the other order identifies the second object with itself. When such a relation exists, the two objects are said to be isomorphic.

The above text is a snippet from Wikipedia: Isomorphism

### isomorphism

#### Noun

1. Similarity of form
1. the similarity in form of organisms of different ancestry
2. the similarity in the crystal structures of similar chemical compounds
1. the similarity in the structure or processes of different organizations
2.  A one-to-one correspondence
1. A bijection f such that both f and its inverse f −1 are homomorphisms, that is, structure-preserving mappings.
2. a one-to-one correspondence between all the elements of two sets, e.g. the instances of two classes, or the records in two datasets

The above text is a snippet from Wiktionary: isomorphism