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...

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...

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...

The multiple subset sum problem is an optimization problem in computer science and operations research. It is a generalization of the subset sum problem...

{\displaystyle A\subset B} ⁠ and ⁠ B ⊃ A {\displaystyle B\supset A} ⁠. When ⁠ A ⊂ B {\displaystyle A\subset B} ⁠ is used for the subset relation, or in...

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...

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"...

Subset simulation is a method used in reliability engineering to compute small (i.e., rare event) failure probabilities encountered in engineering systems...

(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...

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...

∅ . {\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...

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...

{\displaystyle X.} A c = X ∖ A {\displaystyle A^{c}=X\setminus A} is an open subset of ( X , τ ) {\displaystyle (X,\tau )} ; that is, A c ∈ τ . {\displaystyle...

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...

mathematics, a subset of a given set is closed under an operation on the larger set if performing that operation on members of the subset always produces...

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...

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...

{\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...

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...

disjoint non-empty open subsets. Connectedness is one of the principal topological properties that distinguish topological spaces. A subset of a topological...

these characters in a single Wikipedia page, this list is limited to a subset of the most important characters for English-language readers, with links...

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}...

Embeddable Linux Kernel Subset (ELKS), formerly known as Linux-8086, is a Linux-like operating system kernel. It is a subset of the Linux kernel, intended...

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...

convex curve. The intersection of all the convex sets that contain a given subset A of Euclidean space is called the convex hull of A. It is the smallest...

theory of computation and automata theory, the powerset construction or subset construction is a standard method for converting a nondeterministic finite...

topological space is called separable if it contains a countable, dense subset; that is, there exists a sequence ( x n ) n = 1 ∞ {\displaystyle (x_{n})_{n=1}^{\infty...

In mathematics, a Borel set is any subset of a topological space that can be formed from its open sets (or, equivalently, from closed sets) through the...

function of a subset of a set is a function that maps elements of the subset to one, and all other elements to zero. That is, if A is a subset of some set...

In machine learning, feature selection is the process of selecting a subset of relevant features (variables, predictors) for use in model construction...