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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
"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
Subset simulation is a method used in reliability engineering to compute small (i.e., rare event) failure probabilities encountered in engineering systems
Subset_simulation
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
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)
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
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)
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
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
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
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
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 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
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
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
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
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
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
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
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
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
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
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
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
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
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 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
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
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 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)
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
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
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)
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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)
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
The following is a list of films about ice hockey, a subset of the sports film genre. The following is a list of highest grossing ice hockey films of all
List of films about ice hockey
List_of_films_about_ice_hockey
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
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
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
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
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
Mathematics procedure
one-dimensional subspaces of V. More generally, any subset S of V closed under scalar multiplication defines a subset of P(V) formed by the lines contained in S
Projectivization
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)
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
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
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
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
integrals, intersections and unions, logical and relational operators, and subset/superset relations. The Mathematical Alphanumeric Symbols block (U+1D400–U+1D7FF)
Mathematical operators and symbols in Unicode
Mathematical_operators_and_symbols_in_Unicode
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
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)
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
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 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
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
Subset of variables that contains all the useful information
… , X n } {\displaystyle {\mathcal {S}}=\{X_{1},\ldots ,X_{n}\}} is any subset S 1 {\displaystyle {\mathcal {S}}_{1}} of S {\displaystyle {\mathcal {S}}}
Markov_blanket
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)
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
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
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
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
Topological space whose topology is fully captured by its lattice of open sets
(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
Sober_space
Adjacent subset of an undirected graph
In graph theory, a clique (/ˈkliːk/ or /ˈklɪk/) is a subset of vertices of an undirected graph such that every two distinct vertices in the clique are
Clique_(graph_theory)
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
standards restrict the usable code points to a set of valid values, which is a subset of UCS/Unicode code point values, that excludes all code points assigned
List of XML and HTML character entity references
List_of_XML_and_HTML_character_entity_references
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
Subset that is closed and has no isolated points
In general topology, a subset of a topological space is perfect if it is closed and has no isolated points. Equivalently: the set S {\displaystyle S} is
Perfect_set
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
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)
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
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)
Complexity class used to classify decision problems
particular subset, we can efficiently verify whether the subset sum is zero, by summing the integers of the subset. If the sum is zero, that subset is a proof
NP_(complexity)
Submissive sexual practice
submissive male take on a feminine role, which includes cross-dressing. Subsets of the practice include "sissy training" and variations thereof, where
Feminization (sexual activity)
Feminization_(sexual_activity)
Inputs for which a function's value is non-zero
mathematics, the support of a real-valued function f {\displaystyle f} is the subset of the function's domain consisting of those elements that are not mapped
Support_(mathematics)
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
Relationship between two sets, defined by a set of ordered pairs
{T}}}}={\bar {R}}^{\mathsf {T}}.} Restriction If R is a relation over X and S is a subset of X then R|S = { (x, y) | xRy and x, y ∈ S } is the restriction relation
Relation_(mathematics)
{\displaystyle {\mathcal {G}}} is a non-empty collection of subsets of T {\displaystyle T} directed by subset inclusion (i.e. for any G , H ∈ G {\displaystyle G
Topologies on spaces of linear maps
Topologies_on_spaces_of_linear_maps
SUBSET
SUBSET
SUBSET
Boy/Male
English Italian
Timekeeper. Derived from the Roman clan name Horatius.
Girl/Female
Tamil
Priyadarshini | பà¯à®°à®¿à®¯à®¤à®°à¯à®·à¯€à®¨à¯€
Sweet looking, Delightful to look at
Boy/Male
Irish
Serves Christ.
Boy/Male
Indian, Sanskrit
A Cluster of Blossoms
Boy/Male
Arabic, Muslim
Ease; Comfort
Girl/Female
Hindu, Indian, Kannada
Combination
Boy/Male
Indian, Punjabi, Sikh
Love for Forest
Girl/Female
Tamil
Kavyasri | காவà¯à®¯à®·à¯à®°à¯€
Poetry having good characters, Poetry in motion
Male
Swedish
Variant spelling of Swedish Elof, ELOV means "ever-heir."
Surname or Lastname
English
English : nickname for a person with a large or unusually shaped head, from Middle English poll ‘head’ (Middle Low German polle ‘(top of the) head’) + the pejorative suffix -ard. The term pollard in the sense denoting an animal that has had its horns lopped is not recorded before the 16th century, and as applied to a tree the word is not recorded until the 17th century; so both these senses are almost certainly too late to have contributed to the surname.English : pejorative derivative of the personal name Paul. The surname has been established in Ireland since the 14th century.
SUBSET
SUBSET
SUBSET
SUBSET
SUBSET