disjoint sum
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Disjoint union (topology) — In general topology and related areas of mathematics, the disjoint union (also called the direct sum, free union, free sum, topological sum, or coproduct) of a family of topological spaces is a space formed by equipping the disjoint union of the… … Wikipedia
Disjoint union — In mathematics, the term disjoint union may refer to one of two different concepts: In set theory, a disjoint union (or discriminated union) is a modified union operation that indexes the elements according to which set they originated in;… … Wikipedia
Disjoint-set data structure — In computing, a disjoint set data structure is a data structure that keeps track of a set of elements partitioned into a number of disjoint (nonoverlapping) subsets. A union find algorithm is an algorithm that performs two useful operations on… … Wikipedia
Sum-free set — In additive combinatorics and number theory, a subset A of an abelian group G is said to be sum free if the sumset A⊕A is disjoint from A. In other words, A is sum free if the equation a + b = c has no solution with . For example, the set of odd… … Wikipedia
Connected sum — In mathematics, specifically in topology, the operation of connected sum is a geometric modification on manifolds. Its effect is to join two given manifolds together near a chosen point on each. This construction plays a key role in the… … Wikipedia
Direct sum of modules — For the broader use of the term in mathematics, see Direct sum. In abstract algebra, the direct sum is a construction which combines several modules into a new, larger module. The result of the direct summation of modules is the smallest general… … Wikipedia
direct sum — noun a union of two disjoint sets in which every element is the sum of an element from each of the disjoint sets (Freq. 1) • Hypernyms: ↑union, ↑sum, ↑join * * * noun : cartesian product herein * * * Math. a composi … Useful english dictionary
Rule of sum — In combinatorics, the rule of sum is a basic counting principle. Stated simply, it is the idea that if we have a ways of doing something and b ways of doing another thing and we can not do both at the same time, then there are a + b ways to… … Wikipedia
Symplectic sum — In mathematics, specifically in symplectic geometry, the symplectic sum is a geometric modification on symplectic manifolds, which glues two given manifolds into a single new one. It is a symplectic version of connected summation along a… … Wikipedia
Clique-sum — A clique sum of two planar graphs and the Wagner graph, forming a K5 free graph. In graph theory, a branch of mathematics, a clique sum is a way of combining two graphs by gluing them together at a clique, analogous to the connected sum operation … Wikipedia
Wedge sum — In topology, the wedge sum (sometimes wedge product, though not to be confused with the exterior product, which also shares this terminology) is a one point union of a family of topological spaces. Specifically, if X and Y are pointed spaces (i.e … Wikipedia
