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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
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
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)
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
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
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)
"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
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
Subset simulation is a method used in reliability engineering to compute small (i.e., rare event) failure probabilities encountered in engineering systems
Subset_simulation
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
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
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
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
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
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
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)
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
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
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
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
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
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
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
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
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
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
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 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
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
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
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
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)
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
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
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
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
Set of real numbers that is not Lebesgue measurable
There is a natural question here: if E {\displaystyle E} is an arbitrary subset of the real line, does it have a 'mass' or 'total length'? As an example
Vitali_set
the problem FIND-SUBSET-SUM is in NP-equivalent. Given a set of integers, FIND-SUBSET-SUM is the problem of finding some nonempty subset of the integers
NP-equivalent
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)
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
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)
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
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
In mathematical optimization, the ordered subset expectation maximization (OSEM) method is an iterative method that is used in computed tomography. In
Ordered subset expectation maximization
Ordered_subset_expectation_maximization
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
Barcode format
Identics Corporation in 1981. GS1-128 (formerly known as UCC/EAN-128) is a subset of Code 128 and is used extensively worldwide in shipping and packaging
Code_128
Operation in group theory
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
Product_of_group_subsets
The following is a list of films about ice hockey, a subset of the sports film genre. List of sports films List of highest-grossing sports films Ice hockey
List of films about ice hockey
List_of_films_about_ice_hockey
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
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
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
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
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
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
Property in descriptive set theory
descriptive set theory, a subset of a Polish space has the perfect set property if it is either countable or has a nonempty perfect subset (Kechris 1995, p. 150)
Perfect_set_property
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
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
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
Concept in order theory
In mathematics, specifically order theory, the join of a subset S {\displaystyle S} of a partially ordered set P {\displaystyle P} is the supremum (least
Join_and_meet
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
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
function f : X → Y {\displaystyle f:X\to Y} if C {\displaystyle C} is a subset of f {\displaystyle f} 's domain X {\displaystyle X} and if whenever f {\displaystyle
Saturated_set
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
automobile manufacturers with articles on Wikipedia by country. It is a subset of the list of automobile manufacturers for manufacturers based in Canada
List of automobile manufacturers of Canada
List_of_automobile_manufacturers_of_Canada
Sampling technique
simple random sample (or SRS) is a subset of individuals (a sample) chosen from a larger set (a population) in which a subset of individuals are chosen randomly
Simple_random_sample
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)
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
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
Subset of a preorder that contains all larger elements
{\displaystyle X} is a subset such that if s is in S and if x in X is larger than s, then x is in S. A lower set is defined similarly as being a subset S of X with
Upper_and_lower_sets
Geometric theorem
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
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)
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
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
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
Majorant and minorant in mathematics
mathematics, particularly in order theory, an upper bound or majorant of a subset S of some preordered set (K, ≤) is an element of K that is greater than
Upper_and_lower_bounds
Manifold union
= M {\displaystyle \emptyset =M_{-1}\subset M_{0}\subset M_{1}\subset M_{2}\subset \dots \subset M_{m-1}\subset M_{m}=M} where each M i {\displaystyle
Handle_decomposition
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
Composite materials made of wood fiber and thermoplastics
contain other ligno-cellulosic or inorganic filler materials. WPCs are a subset of a larger category of materials called natural fiber plastic composites
Wood–plastic_composite
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
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
Boolean algebra with all operators and laws forming a complete logical system
mathematics, a complete Boolean algebra is a Boolean algebra in which every subset has a supremum (least upper bound). Complete Boolean algebras are used to
Complete_Boolean_algebra
The PubMed Dietary Supplement Subset (PMDSS) is a joint project between the National Institutes of Health (NIH) National Library of Medicine (NLM) and
Dietary Supplements (database)
Dietary_Supplements_(database)
White blood cells of the immune system
Treg cells. These two subsets were previously called "naturally occurring" and "adaptive" (or "induced"), respectively. Both subsets require the expression
T_cell
Set which cannot be assigned a meaningful "volume"
Zermelo–Fraenkel set theory, the axiom of choice entails that non-measurable subsets of R {\displaystyle \mathbb {R} } exist. The notion of a non-measurable
Non-measurable_set
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
Abnormal amount of collagen in the lung (fibrosis) caused by cigarette smoking
other investigators have confirmed the same abnormality in the lungs of a subset of smokers. The defining feature of smoking-related interstitial fibrosis
Smoking-related interstitial fibrosis (SRIF)
Smoking-related_interstitial_fibrosis_(SRIF)
Result in combinatorics and graph theory
for any subset of sets from the collection, the total unique elements they contain is at least as large as the number of sets in the subset. The graph
Hall's_marriage_theorem
Connected open subset of a topological space
non-empty connected open subset of the real coordinate space Rn or the complex coordinate space Cn. A connected open subset of coordinate space is frequently
Domain (mathematical analysis)
Domain_(mathematical_analysis)
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
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
Subset of languages in formal theory
language theory, deterministic context-free languages (DCFL) are a proper subset of context-free languages. They are context-free languages that can be accepted
Deterministic context-free language
Deterministic_context-free_language
Mathematical proposition equivalent to the axiom of choice
containing upper bounds for every chain (that is, every totally ordered subset) necessarily contains at least one maximal element. The lemma was proven
Zorn's_lemma
Topological space in which closed subsets satisfy the descending chain condition
topological space in which closed subsets satisfy the descending chain condition. Equivalently, we could say that the open subsets satisfy the ascending chain
Noetherian_topological_space
Set of the values of a function
More generally, evaluating f {\displaystyle f} at each element of a given subset A {\displaystyle A} of its domain X {\displaystyle X} produces a set, called
Image_(mathematics)
Construct in functional analysis
one). Thus S {\displaystyle S} is a balanced subset of X {\displaystyle X} if and only if it is balanced subset of every (equivalently, of some) vector space
Balanced_set
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
belongs to F {\displaystyle {\mathcal {F}}} if and only if every finite subset of A {\displaystyle A} belongs to F {\displaystyle {\mathcal {F}}} . That
Finite_character
SUBSET
SUBSET
SUBSET
Boy/Male
British, English, German
An Old German Name; Bear; Carry
Girl/Female
Bengali, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Telugu
Radiant; Glow; Pure
Boy/Male
Indian
Corpulent, One who can pull, Name of a famous Arab poet
Boy/Male
Hindu
Surname or Lastname
English
English : unexplained.Perhaps a respelling of the Orcadian name Skae, Skea, from the lands of Skea in Deerness.
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Oriya, Parsi, Telugu
The Cosmic Serpent Shesh
Surname or Lastname
English (Devon)
English (Devon) : variant of Brand 1.
Boy/Male
Hindu, Indian, Marathi
Youth
Girl/Female
English
Follower of Christ.
Girl/Female
Hindu
SUBSET
SUBSET
SUBSET
SUBSET
SUBSET