• Thumbnail for Subset
    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 (1,623 words) - 14:31, 7 March 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...
    24 KB (3,653 words) - 13:15, 18 August 2023
  • Thumbnail for Open set
    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...
    28 KB (4,510 words) - 15:48, 27 December 2023
  • 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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  • 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 (2,823 words) - 18:18, 10 January 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 (1,928 words) - 03:13, 26 December 2023
  • Thumbnail for Set (mathematics)
    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:...
    40 KB (4,630 words) - 06:53, 29 March 2024
  • Thumbnail for Empty set
    Empty set (redirect from Empty subset)
    V=∅.{\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...
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  • (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...
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  • 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...
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  • Thumbnail for Compact space
    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 (5,662 words) - 14:11, 27 March 2024
  • 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...
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  • 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} if...
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  • Thumbnail for Convex set
    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 (2,971 words) - 14:19, 28 January 2024
  • Thumbnail for FTL: Faster Than Light
    Light is a real-time strategy roguelite game created by indie developer Subset Games, which was released for Microsoft Windows, macOS and Linux in September...
    37 KB (3,906 words) - 16:56, 26 March 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 ST={st:s∈S and t∈T}...
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  • In mathematical optimization, the ordered subset expectation maximization (OSEM) method is an iterative method that is used in computed tomography. In...
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  • schema of specification, also known as the axiom schema of separation, subset axiom scheme or axiom schema of restricted comprehension is an axiom schema...
    11 KB (1,661 words) - 09:13, 10 January 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 (1,601 words) - 03:24, 12 June 2023
  • 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...
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  • Thumbnail for Bounded set
    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
  • 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...
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  • Directed set (redirect from Directed subset)
    that every finite subset of A{\displaystyle A} has an upper bound. In this definition, the existence of an upper bound of the empty subset implies that A{\displaystyle...
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  • Feature selection is the process of selecting a subset of relevant features (variables, predictors) for use in model construction. Stylometry and DNA microarray...
    58 KB (6,669 words) - 03:15, 11 March 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. In...
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  • 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 A{\displaystyle...
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  • Clopen set (redirect from Clopen subset)
    that A{\displaystyle A} is a clopen subset of Q.{\displaystyle \mathbb {Q} .} (A{\displaystyle A} is not a clopen subset of the real line R{\displaystyle...
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  • 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...
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  • theory of computation and automata theory, the powerset construction or subset construction is a standard method for converting a nondeterministic finite...
    12 KB (1,500 words) - 02:37, 26 March 2023
  • Finite set (redirect from K-subsets)
    set with n elements is sometimes called an n-set and a subset with k elements is called a k-subset. For example, the set {5,6,7}{\displaystyle \{5,6,7\}}...
    22 KB (3,004 words) - 08:45, 11 February 2024