## 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*

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### isomorphism

#### Noun

- Similarity of form
- the similarity in form of organisms of different ancestry
- the similarity in the crystal structures of similar chemical compounds
- the similarity in the structure or processes of different organizations

- 2. A one-to-one correspondence
- A bijection
*f*such that both*f*and its inverse*f*^{ −1}are homomorphisms, that is, structure-preserving mappings. - 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

- A bijection

*The above text is a snippet from Wiktionary: isomorphism*

and as such is available under the Creative Commons Attribution/Share-Alike License.

and as such is available under the Creative Commons Attribution/Share-Alike License.