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Set whose elements all belong to another set
In mathematics, a set A is a subset of a set B if and only if all elements of A are also elements of B; B is then a superset of A. It is possible for A
Subset
Decision problem in computer science
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
Subset_sum_problem
Vector space in functional analysis
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}
Total_subset
Collection of mathematical objects
{\displaystyle A\subset B} often means A ⊆ B {\displaystyle A\subseteq B} , but some authors use A ⊂ B {\displaystyle A\subset B} to mean A
Set_(mathematics)
Subset simulation is a method used in reliability engineering to compute small (i.e., rare event) failure probabilities encountered in engineering systems
Subset_simulation
"Small" subset of a topological space
being small unions of small subsets. The meagre subsets of a fixed space form a σ-ideal of subsets; that is, any subset of a meagre set is meagre, and
Meagre_set
Type of mathematical space
must take some value infinitely often, by the pigeonhole principle. For subsets of Euclidean space, the analogous statement is sequential compactness:
Compact_space
Basic subset of a topological space
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
Open_set
Mathematical set containing no elements
∅ . {\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
Empty_set
Mathematical optimization problem
The multiple subset sum problem is an optimization problem in computer science and operations research. It is a generalization of the subset sum problem
Multiple_subset_sum
Generalization of mass, length, area and volume
{\displaystyle \Sigma } a σ-algebra over X {\displaystyle X} , defining subsets of X {\displaystyle X} that are "measurable". A set function μ {\displaystyle
Measure_(mathematics)
list all of these characters in a single page, this list is limited to a subset of the most important characters for English-language readers, with links
List_of_Unicode_characters
Operation on the subsets of a set
mathematics, a subset of a larger set is closed under a given operation on the larger set if performing that operation on members of the subset always produces
Closure_(mathematics)
Intersection of an open set and a closed set
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
Locally_closed_subset
Subset whose closure is the whole space
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
Dense_set
Subset of a topological space whose closure is compact
(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
Relatively_compact_subspace
2012 video game
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
FTL:_Faster_Than_Light
Concept in the field of computational social choice
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
Agreeable_subset
Collection of mathematical objects of finite size
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
Bounded_set
Topological space that locally resembles Euclidean space
property that each point has a neighborhood that is homeomorphic to an open subset of n {\displaystyle n} -dimensional Euclidean space. One-dimensional manifolds
Manifold
Greatest lower bound and least upper bound
In mathematics, the infimum (abbreviated inf; pl.: infima) of a subset S {\displaystyle S} of a partially ordered set P {\displaystyle P} is the greatest
Infimum_and_supremum
Topics referred to by the same term
Relatively compact subspace, a subset whose closure is compact Totally bounded set, a subset that can be covered by finitely many subsets of any fixed size This
Precompact_set
General-purpose programming language
speed-up, since Python is a very dynamic language, or only a restricted subset of Python is compiled (with potential minor semantic changes). Python is
Python_(programming_language)
Complement of an open subset
obtained by adjoining all boundary points to it. Closed sets are defined as subsets of topological spaces. The topology of a space is usually described in
Closed_set
Operating system
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
Embeddable Linux Kernel Subset
Embeddable_Linux_Kernel_Subset
Class of mathematical sets
space are a particular class of "well-behaved" subsets of that space. For example, whereas an arbitrary subset of the real numbers might fail to be Lebesgue
Borel_set
Topological space that is connected
disjoint non-empty open subsets. Connectedness is one of the principal topological properties that distinguish topological spaces. A subset of a topological
Connected_space
Mathematical concept
as one having the same size as at least one of its proper subsets (a strictly smaller subset); this notion of infinity is called Dedekind infinite. The
Infinity
Topics referred to by the same term
term Support (mathematics), subset of the domain of a function where it is non-zero valued Support (measure theory), a subset of a measurable space Supporting
Support
In geometry, set whose intersection with every line is a single line segment
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
Convex_set
Type of vector space in math
applying this observation to the closed subspace F generated by a subset S of H. A subset S of H spans a dense vector subspace if (and only if) the vector
Hilbert_space
Method for making finite automata deterministic
theory of computation and automata theory, the powerset construction or subset construction is a standard method for converting a nondeterministic finite
Powerset_construction
Mathematical property of subsets in order theory
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
Cofinal_(mathematics)
Set-theoretic concept
of stationary set, depending on whether one is looking at subsets of an ordinal, or subsets of something of given cardinality, or a powerset. If κ {\displaystyle
Stationary_set
U.S. large-cap stock market index
considered to have large or medium market capitalizations. The Russell 1000 is a subset of the Russell 3000, alongside the small-cap Russell 2000. The index is
Russell_1000_Index
Property of mathematical sets
In mathematics, a cocountable subset of a set X {\displaystyle X} is a subset Y {\displaystyle Y} whose complement in X {\displaystyle X} is a countable
Cocountability
Fictional classification of mutant appearing in Marvel Comics
Omega-level mutants are a subset of mutants appearing in American comic books published by Marvel Comics with the most powerful potential of their mutant
Omega-level_mutants
Topological space with a dense countable subset
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
Separable_space
2018 turn-based strategy video game
turn-based strategy video game developed and published by indie studio Subset Games, consisting of Jay Ma and Matthew Davis. Into the Breach is their
Into_the_Breach
Process in machine learning and statistics
In machine learning, feature selection is the process of selecting a subset of relevant features (variables, predictors) for use in model construction
Feature_selection
XML-based interface description language
Subset WSDL (SWSDL) is a WSDL with the subset operations of an original WSDL. A developer can use SWSDL to access Subset Service, thus handle subset of
Web Services Description Language
Web_Services_Description_Language
Mathematical ordering with upper bounds
directed preorder or a filtered set) is a preordered set in which every finite subset has an upper bound. In other words, it is a non-empty preordered set A {\displaystyle
Directed_set
Data-interchange format
was sold to Sun Microsystems, Amazon.com, and EDS. JSON was based on a subset of the JavaScript scripting language (specifically, Standard ECMA-262 3rd
JSON
Annual list of largest US corporations
list was published in 1955. The Fortune 500 is more commonly used than its subset Fortune 100 or superset Fortune 1000. The Fortune 500, created by Edgar
Fortune_500
Mathematical space with a notion of closeness
X} a non-empty collection N ( x ) {\displaystyle {\mathcal {N}}(x)} of subsets of X . {\displaystyle X.} The elements of N ( x ) {\displaystyle {\mathcal
Topological_space
Subset which is both open and closed
{\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
Clopen_set
All points and limit points in a subset of a topological space
In topology, the closure of a subset S of points in a topological space consists of all points in S together with all limit points of S. The closure of
Closure_(topology)
Sets with no element in common
In set theory in mathematics and formal logic, two sets are said to be disjoint sets if they have no element in common. Equivalently, two disjoint sets
Disjoint_sets
Axiomatic set theories based on the principles of mathematical constructivism
\{z\in B\mid Q(z)\}\subset B} . The notion of subset-bounded quantifiers, as in ∀ ( z ⊂ A ) . z ∈ B {\displaystyle \forall (z\subset A).z\in B} , has been
Constructive_set_theory
Finite collection of distinct objects
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 }
Finite_set
Language for controlling a computer
they are different concepts. Some contend that programming languages are a subset of computer languages. Some use computer language to classify a language
Programming_language
Open set containing a given point
X , {\displaystyle X,} then a neighbourhood of p {\displaystyle p} is a subset V {\displaystyle V} of X {\displaystyle X} that includes an open set U {\displaystyle
Neighbourhood_(mathematics)
Encoding for Unicode domain names
ASCII character subset used for Internet hostnames. Using Punycode, host names containing Unicode characters are transcoded to a subset of ASCII consisting
Punycode
Concept in axiomatic set theory
specification, also known as the axiom schema of separation (Aussonderungsaxiom), subset axiom, axiom of class construction, or axiom schema of restricted comprehension
Axiom_schema_of_specification
Subset of the market
A niche market is the subset of the market on which a product is appealed to a small group of consumers. The market niche defines the product features
Niche_market
International football competition
head-to-head criteria above, a subset of teams are still tied, all head-to-head criteria above will be reapplied exclusively to this subset of teams; Goal difference
2027 Africa Cup of Nations qualification
2027_Africa_Cup_of_Nations_qualification
subsets. Every nonempty open set is dense in X. Every open set is connected. The interior of every proper closed subset of X is empty. Every subset is
Hyperconnected_space
Broadest definition of sizes in integer-dimensional spaces
assigning a notion of length to subsets of the real line, area to regions of the Euclidean plane, and volume to subsets of Euclidean space in dimensions
Lebesgue_measure
Generalized alphabetical order
in combinatorics, orders subsets of a given finite set by assigning a total order to the finite set, and converting subsets into increasing sequences
Lexicographic_order
Subset of Euclidean space is compact if and only if it is closed and bounded
Heine–Borel theorem, named after Eduard Heine and Émile Borel, states: For a subset S {\displaystyle S} of Euclidean space R n {\displaystyle \mathbb {R} ^{n}}
Heine–Borel_theorem
Subset consisting of more than half of the set's elements
other meanings, as explained in the "Related terms" section below. It is a subset of a set consisting of more than half of the set's elements. For example
Majority
Largest open subset of some given set
specifically in topology, the interior of a subset S of a topological space X is the union of all subsets of S that are open in X. A point that is in
Interior_(topology)
Measure of whether or not a graph has a "bottleneck"
any possible division of the vertex set into two subsets has "many" links between those two subsets. In applications to theoretical computer science,
Cheeger constant (graph theory)
Cheeger_constant_(graph_theory)
Subset of a manifold that is a manifold itself; an injective immersion into a manifold
In mathematics, a submanifold of a manifold M {\displaystyle M} is a subset S {\displaystyle S} which itself has the structure of a manifold, and for which
Submanifold
Subset of incomparable elements
order theory, an antichain is a subset of a partially ordered set such that any two distinct elements in the subset are incomparable. The size of the
Antichain
Mathematical function characterizing set membership
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
Indicator_function
and bullying. Each episode generally focuses on a particular character or subset of characters and the struggles they face in their lives, with the episodes
List_of_Skins_characters
Aspect of probability and statistics
distribution of a subset of a collection of random variables is the probability distribution of the variables contained in the subset. It gives the probabilities
Marginal_distribution
More generally, a subset A of κω is λ-Suslin if there is a tree T on κ × λ such that A = p[T]. By a tree on κ × λ we mean a subset T ⊆ ⋃n<ω(κn × λn) closed
Suslin_representation
Given a cover of a compact metric space, all small subsets are subset of some cover set
of the cover is a number δ > 0 {\displaystyle \delta >0} such that every subset of X {\displaystyle X} having diameter less than δ {\displaystyle \delta
Lebesgue's_number_lemma
Subtype of white blood cell
Berrington JE, Barge D, Fenton AC, Cant AJ, Spickett GP (May 2005). "Lymphocyte subsets in term and significantly preterm UK infants in the first year of life
Lymphocyte
Theorem in set-theoretic geometry
there exists a decomposition of the ball into a finite number of disjoint subsets that can be put back together in a different way to yield two identical
Banach–Tarski_paradox
Five coplanar points have a subset forming a convex quadrilateral
statement: Theorem—any set of five points in the plane in general position has a subset of four points that form the vertices of a convex quadrilateral. This was
Happy_ending_problem
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
Multiplicatively_closed_set
Mathematical ways to group elements of a set
grouping of its elements into non-empty subsets, in such a way that every element is included in exactly one subset. Every equivalence relation on a set
Partition_of_a_set
Mathematical space with a notion of distance
subsets of a metric space, as well as metric spaces themselves. Hausdorff and Gromov–Hausdorff distance define metrics on the set of compact subsets of
Metric_space
Dissociative disorder
Statistical Manual of Mental Disorders (DSM-5), dissociative fugue is a subset of dissociative amnesia. Recovery from a fugue state typically results in
Dissociative_fugue
Subset with finite complement
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
Cofiniteness
Class of mathematical orderings
a set S is a total ordering on S with the property that every non-empty subset of S has a least element in this ordering. The set S together with the ordering
Well-order
Instruction that associates documents with a document type definition
"/quotedURI/" [ <!-- internal subset declarations --> ]> or <!DOCTYPE root-element SYSTEM "/quotedURI/" [ <!-- internal subset declarations --> ]> The opening
Document_type_declaration
Topics referred to by the same term
product of sets Direct product of groups Semidirect product Product of group subsets Wreath product Free product Zappa–Szép product (or knit product), a generalization
Product
Protection of computer systems from information disclosure, theft or damage
still used to prevent unauthorized tampering. IT security is not a perfect subset of information security and therefore does not completely align with the
Computer_security
Type of white blood cell
Treg cells. These two subsets were previously called "naturally occurring" and "adaptive" (or "induced"), respectively. Both subsets require the expression
T_cell
Programming language for statistics
operator: > mtcars_subset_rows <- subset(mtcars, cyl == 4) > num_mtcars_subset <- nrow(mtcars_subset_rows) > print(num_mtcars_subset) [1] 11 While the
R_(programming_language)
Graph made from a subset of another graph's nodes and their edges
formed from a subset of the vertices of the graph and all of the edges, from the original graph, connecting pairs of vertices in that subset. Formally, let
Induced_subgraph
Type of white blood cell
the signal transduction pathway[citation needed]. Of the three B cell subsets, FO B cells preferentially undergo T cell-dependent activation while MZ
B_cell
Type of meet-in-the-middle attack
The 3-subset meet-in-the-middle (hereafter shortened MITM) attack is a variant of the generic meet-in-the-middle attack, which is used in cryptology for
3-subset meet-in-the-middle attack
3-subset_meet-in-the-middle_attack
Point of a subset S around which there are no other points of S
In mathematics, a point x is called an isolated point of a subset S (in a topological space X) if x is an element of S and there exists a neighborhood
Isolated_point
Concept in descriptive set theory (mathematics)
In the mathematical field of descriptive set theory, a subset of a Polish space X {\displaystyle X} is an analytic set if it is a continuous image of a
Analytic_set
Integer
y. When a subset of the codomain is specified inside the function f, its inverse will yield an inverse image, or preimage, of that subset under the function
−1
Mathematical theorem
theorem from compact subsets of an open subset of the complex plane to relatively closed subsets of an open subset. Let Ω be an open subset of C {\displaystyle
Arakelyan's_theorem
Abstraction of linear independence of vectors
(called the ground set) and I {\displaystyle {\mathcal {I}}} is a family of subsets of E {\displaystyle E} (called the independent sets) with the following
Matroid
Set of the values of a function
input x {\displaystyle x} . The image by f {\displaystyle f} of a subset S {\displaystyle S} of the domain of f {\displaystyle f} is the
Image_(mathematics)
Mathematical set of all subsets of a set
mathematics, the power set (or powerset) of a set S is the set of all subsets of S, including the empty set and S itself. In axiomatic set theory (as
Power_set
Mathematical concept
In mathematics, an approximate group is a subset of a group which behaves like a subgroup "up to a constant error", in a precise quantitative sense (so
Approximate_group
All points in the topological closure not belonging to the interior
In topology and mathematics in general, the boundary of a subset S of a topological space X is the set of points in the closure of S not belonging to the
Boundary_(topology)
Test used in the analysis of stratified or matched categorical data
the statistic and decide policy based upon it. Define a statistic to be subset stable iff R {\displaystyle R} is bounded between min ( r i ) {\displaystyle
Cochran–Mantel–Haenszel statistics
Cochran–Mantel–Haenszel_statistics
appears twice). A subset tree is a more general structure than a subtree. The basic definition is the same, but in the case of subset trees, leaves need
Tree_kernel
Dual space topology of uniform convergence on some sub-collection of bounded subsets
, b ) {\displaystyle \sigma (X,Y,b)} -bounded subsets of X . {\displaystyle X.} Theorem—For any subset A ⊆ X , {\displaystyle A\subseteq X,} the following
Polar_topology
The following is a list of films about ice hockey, a subset of the sports film genre. The following is a list of ice hockey films that surpassed $1 million
List of films about ice hockey
List_of_films_about_ice_hockey
travel, tourism, insurance
SUBSET
SUBSET
SUBSET
SUBSET
SUBSET
SUBSET
SUBSET
SUBSET
SUBSET
travel, tourism, insurance