Synonymer & Oplysninger om | engelsk ord DISJOINT

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Eksempler på brug af DISJOINT i en sætning

• In mathematics, the axiom of regularity (also known as the axiom of foundation) is an axiom of Zermelo–Fraenkel set theory that states that every non-empty set A contains an element that is disjoint from A.
• Projective cone, the union of all lines that intersect a projective subspace and an arbitrary subset of some other disjoint subspace.
• In topology and related branches of mathematics, a connected space is a topological space that cannot be represented as the union of two or more disjoint non-empty open subsets.
• A plane graph can be defined as a planar graph with a mapping from every node to a point on a plane, and from every edge to a plane curve on that plane, such that the extreme points of each curve are the points mapped from its end nodes, and all curves are disjoint except on their extreme points.
• The dual notion of a colimit generalizes constructions such as disjoint unions, direct sums, coproducts, pushouts and direct limits.
• The same two definitions can be applied to an indexed family of sets: according to the first definition, every two distinct indices in the family must name sets that are disjoint or identical, while according to the second, every two distinct indices must name disjoint sets.
• A tessellation of the plane or of any other space is a cover of the space by closed shapes, called tiles, that have disjoint interiors.
• Intuitively, the additivity property says that the probability assigned to the union of two disjoint (mutually exclusive) events by the measure should be the sum of the probabilities of the events; for example, the value assigned to the outcome "1 or 2" in a throw of a dice should be the sum of the values assigned to the outcomes "1" and "2".
• In topology, Urysohn's lemma is a lemma that states that a topological space is normal if and only if any two disjoint closed subsets can be separated by a continuous function.
• For, the product is given by the Cartesian product, whereas the coproduct is given by the disjoint union.
• A set is open if it contains no point lying on its boundary; thus, in an informal, intuitive sense, the fact that a space can be partitioned into disjoint open sets suggests that the boundary between the two sets is not part of the space, and thus splits it into two separate pieces.
• Unsigned Stirling numbers of the first kind, which count the number of permutations of n elements with k disjoint cycles, are denoted:.
• The adjacency matrix of the union of disjoint graphs (or multigraphs) is the direct sum of their adjacency matrices.
• In category theory, the disjoint union is the coproduct of the category of sets, and thus defined up to a bijection.
• It is vacuously true that all of the subsets in this family are non-empty subsets of the empty set and that they are pairwise disjoint subsets of the empty set, because there are no subsets to have these unlikely properties.
• If the column headings in a relational database table are divided into three disjoint groupings X, Y, and Z, then, in the context of a particular row, we can refer to the data beneath each group of headings as x, y, and z respectively.
• every collection of mutually disjoint non-empty open intervals in R is countable (this is the countable chain condition for the order topology of R),.
• Because G is the disjoint union of the left cosets and because each left coset has the same size as H, the index is related to the orders of the two groups by the formula.
• The problem of testing for the existence of two disjoint trees, each connecting the distinguished vertices, can be represented as a matroid partitioning problem, which can be solved in polynomial time.
• In category theory, the coproduct, or categorical sum, is a construction which includes as examples the disjoint union of sets and of topological spaces, the free product of groups, and the direct sum of modules and vector spaces.

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