In mathematics, the term disjoint union may refer to one of two different but related concepts:
- In set theory, the disjoint union (or discriminated union) of a family of sets is a modified union operation that indexes the elements according to which set they originated in; disjoint sets have no element in common.
- When one says that a set is the disjoint union of a family of subsets, this means that it is the union of the subsets and that the subsets are pairwise disjoint.
Read more about Disjoint Union: Set Theory Definition, Category Theory Point of View
Famous quotes containing the word union:
“If the Union is once severed, the line of separation will grow wider and wider, and the controversies which are now debated and settled in the halls of legislation will then be tried in fields of battle and determined by the sword.”
—Andrew Jackson (1767–1845)