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Disjoint sets
Disjoint sets In mathematics, two sets are said to be disjoint if they have no element in common ... 2, 3} and {4, 5, 6} are disjoint sets. Explanation Formally, two sets A ...
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Talk:Disjoint sets
Talk:Disjoint sets Set theory is an esoteric branch of ... the other brances of math that use sets. The vast majority of the times that sets (and the notion of disjoint sets) are used in math, it ...
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Almost disjoint sets
Almost disjoint sets In mathematics, two sets are almost disjoint if their intersection is small in some ... therefore result in different definitions of "almost disjoint". Definition The most common choice is ...
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Disjoint union
Disjoint union Discriminated union links here. For discriminated ... see tagged union In set theory, a disjoint union (or discriminated union) is a union of a collection of sets whose members are pairwise disjoint. Formally, if is a collection of sets, then |
Separated sets
Separated sets In topology and related branches of mathematics, separated sets are pairs of subsets of a given ... certain way. The notion of when two sets are separated or not is important both ... the separation axioms for topological spaces. Separated sets should not be confused with separated spaces ... subsets A and B of X are disjoint if their intersection is the empty ...
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Category of sets
Category of sets In mathematics, the category of sets, denoted as Set, is the category whose objects are all sets and whose morphisms are all functions. It ... the existence of the set of all sets leads to a contradiction, the object class ... is given by the cartesian product of sets. The coproduct is given by the ...
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Disjoint union (topology)
Disjoint union (topology) In topology and related areas of mathematics, the disjoint union (also called the direct sum, free ... is a space formed by equipping the disjoint union of the underlying sets with a natural topology called the disjoint union topology. The name coproduct originates ...
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Disjoint-set data structure
Disjoint-set data structure Given a set of ... a number of separate, nonoverlapping groups. A disjoint-set data structure is a data structure ... Because it supports these two operations, a disjoint-set data structure is sometimes called a ... takes two group representatives as its arguments. Disjoint-set linked lists Perhaps the simplest approach to creating a disjoint-set data structure is to create ...
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Talk:Disjoint-set data structure
Talk:Disjoint-set data structure This is also known ... Some references The first description of the disjoint-sets forest idea is found in: Bernard A ... F. Italiano. "Data structures and algorithms for disjoint set union problems", ACM Computing Surveys, Volume ...
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Topology glossary
... set theory, and Function for definitions concerning sets and functions. The following articles may also ... space Connected space Continuity Metric space Separated sets Separation axiom Topological space Uniform space All ... finitely generated) if arbitrary intersections of open sets in X are open, or equivalently, if arbitrary unions of closed sets are closed. Almost discrete. A space is ... of any countable collection of dense open sets is dense—see Baire space. Baire space ...
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