ISOM

Isom is a term with multiple meanings across different domains. In geography, Isom refers to a small unincorporated community in Letcher County, Kentucky, United States. It is a rural locale situated in the eastern part of the state, within the broader Appalachian region.

In mathematics, isom is a common shorthand for isomorphism. An isomorphism is a relationship between two mathematical objects that shows they have the same structure. Formally, a map f from A to B is an isomorphism if there exists an inverse map g from B to A such that g composed with f is the identity on A and f composed with g is the identity on B. When such a map exists, A and B are said to be isomorphic, meaning they are structurally the same for the purposes of the theory under consideration.

As a proper noun, Isom is used as a surname. It is found in various cultures and regions, though it remains relatively uncommon.

In some contexts, isom may appear as an informal abbreviation for isomorphism within notes, lectures, or software related to algebra, linear algebra, and abstract algebra. While related meanings share a common root, the term’s usage depends on the field and context.