In mathematics, a set A is a subset of a set B if all elements of A are also elements of B; B is then a superset of A. It is possible for A and B to be...
11 KB (1,725 words) - 04:27, 24 August 2024
Meagre set (redirect from Residual subset)
definitions of other related terms. The meagre subsets of a fixed space form a σ-ideal of subsets; that is, any subset of a meagre set is meagre, and the union...
18 KB (2,938 words) - 06:38, 2 July 2024
The subset sum problem (SSP) is a decision problem in computer science. In its most general formulation, there is a multiset S {\displaystyle S} of integers...
25 KB (3,783 words) - 14:10, 26 June 2024
Open set (redirect from Open subset)
in the choice of open sets. For example, every subset can be open (the discrete topology), or no subset can be open except the space itself and the empty...
27 KB (4,359 words) - 16:11, 15 August 2024
Precompact set (redirect from Pre-compact subset)
Relatively compact subspace, a subset whose closure is compact Totally bounded set, a subset that can be covered by finitely many subsets of fixed size This disambiguation...
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An agreeable subset is a subset of items that is considered, by all people in a certain group, to be at least as good as its complement. Finding a small...
11 KB (1,620 words) - 09:29, 22 July 2024
Empty set (redirect from Empty subset)
∅ . {\displaystyle V=\varnothing .} By the definition of subset, the empty set is a subset of any set A. That is, every element x of ∅ {\displaystyle...
15 KB (2,181 words) - 10:50, 28 May 2024
Closed set (redirect from Closed subset)
operation. This should not be confused with a closed manifold. By definition, a subset A {\displaystyle A} of a topological space ( X , τ ) {\displaystyle (X,\tau...
11 KB (1,952 words) - 03:13, 26 December 2023
Compact space (redirect from Compact subset)
a property that seeks to generalize the notion of a closed and bounded subset of Euclidean space. The idea is that a compact space has no "punctures"...
45 KB (5,681 words) - 09:54, 31 July 2024
Set (mathematics) (redirect from Finite subset)
mean A is any subset of B (and not necessarily a proper subset), while others reserve A ⊂ B and B ⊃ A for cases where A is a proper subset of B. Examples:...
41 KB (4,747 words) - 09:15, 3 July 2024
Multiplicatively closed set (redirect from Multiplicative subset)
abstract algebra, a multiplicatively closed set (or multiplicative set) is a subset S of a ring R such that the following two conditions hold: 1 ∈ S {\displaystyle...
3 KB (345 words) - 17:56, 26 April 2024
Relatively compact subspace (redirect from Relatively compact subset)
(or relatively compact subset, or precompact subset) Y of a topological space X is a subset whose closure is compact. Every subset of a compact topological...
3 KB (326 words) - 02:02, 28 October 2023
Dense set (redirect from Dense subset)
In topology and related areas of mathematics, a subset A of a topological space X is said to be dense in X if every point of X either belongs to A or else...
12 KB (1,911 words) - 13:33, 2 May 2024
Subset simulation is a method used in reliability engineering to compute small (i.e., rare event) failure probabilities encountered in engineering systems...
10 KB (1,490 words) - 07:29, 13 July 2023
In mathematical optimization, the ordered subset expectation maximization (OSEM) method is an iterative method that is used in computed tomography. In...
1 KB (112 words) - 23:23, 27 May 2024
functional analysis, a subset T {\displaystyle T} of a topological vector space X {\displaystyle X} is said to be a total subset of X {\displaystyle X}...
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Axiom schema of specification (redirect from Axiom of subsets)
specification, also known as the axiom schema of separation (Aussonderungsaxiom), subset axiom, axiom of class construction, or axiom schema of restricted comprehension...
15 KB (2,194 words) - 20:50, 26 August 2024
Convex set (redirect from Convex subset)
geometry, a subset of a Euclidean space, or more generally an affine space over the reals, is convex if, given any two points in the subset, the subset contains...
25 KB (3,037 words) - 22:51, 6 July 2024
Finite set (redirect from K-subsets)
an n {\displaystyle n} -set and a subset with k {\displaystyle k} elements is called a k {\displaystyle k} -subset. For example, the set { 5 , 6 , 7 }...
15 KB (1,998 words) - 22:34, 22 June 2024
The multiple subset sum problem is an optimization problem in computer science and operations research. It is a generalization of the subset sum problem...
10 KB (1,610 words) - 03:24, 12 June 2023
FTL: Faster Than Light (redirect from Subset Games)
FTL: Faster Than Light is a roguelike game created by indie developer Subset Games, which was released for Windows, MacOS, and Linux in September 2012...
38 KB (3,940 words) - 14:28, 4 September 2024
define a product of group subsets in a natural way. If S and T are subsets of a group G, then their product is the subset of G defined by S T = { s t...
10 KB (1,276 words) - 15:53, 13 July 2022
Measure (mathematics) (redirect from Measurable subset)
{\displaystyle X} is called a null set if μ ( X ) = 0. {\displaystyle \mu (X)=0.} A subset of a null set is called a negligible set. A negligible set need not be measurable...
35 KB (5,554 words) - 13:16, 1 September 2024
Cocountability (redirect from Cocountable subset)
In mathematics, a cocountable subset of a set X is a subset Y whose complement in X is a countable set. In other words, Y contains all but countably many...
2 KB (225 words) - 01:06, 8 April 2024
mathematics, a subset of a given set is closed under an operation of the larger set if performing that operation on members of the subset always produces...
12 KB (1,786 words) - 22:36, 14 August 2024
Cofinal (mathematics) (redirect from Cofinal subset)
In mathematics, a subset B ⊆ A {\displaystyle B\subseteq A} of a preordered set ( A , ≤ ) {\displaystyle (A,\leq )} is said to be cofinal or frequent in...
8 KB (1,345 words) - 21:23, 27 October 2023
In topology, a branch of mathematics, a subset E {\displaystyle E} of a topological space X {\displaystyle X} is said to be locally closed if any of the...
5 KB (836 words) - 07:09, 12 February 2024
Sober space (redirect from Irreducible subset)
(nonempty) irreducible closed subset of X is the closure of exactly one point of X: that is, every nonempty irreducible closed subset has a unique generic point...
7 KB (927 words) - 00:32, 19 August 2024
Cofiniteness (redirect from Cofinite subset)
In mathematics, a cofinite subset of a set X {\displaystyle X} is a subset A {\displaystyle A} whose complement in X {\displaystyle X} is a finite set...
6 KB (884 words) - 17:19, 18 February 2024
Bounded set (redirect from Bounded subset)
bounded set is not necessarily a closed set and vice versa. For example, a subset S of a 2-dimensional real space R2 constrained by two parabolic curves x2...
6 KB (733 words) - 08:59, 4 March 2024