Search references for SUBSET. Phrases containing SUBSET
See searches and references containing SUBSET!SUBSET
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 of a topological vector space X is said to be a total subset of X if the linear span of T is a dense subset of X. This condition
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
(bijection) between the subsets of E and the functions from E to {0,1}; this correspondence associates to each subset the function that takes the
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
Subset simulation is a method used in reliability engineering to compute small (i.e., rare event) failure probabilities encountered in engineering systems
Subset_simulation
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)
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
"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
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
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
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
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)
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
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
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
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
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
Property of mathematical sets
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
Cocountability
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
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
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
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
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
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
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
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
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
set C is said to be saturated with respect to a function f:X→Y if C is a subset of f's domain X and if whenever f sends two points c∈C and x∈X to the same
Saturated_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
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)
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 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)
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 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
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
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
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
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
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)
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
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
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
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
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)
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
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
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
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 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
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
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
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
Unproven computational hardness assumption
complexity, three subsets of the integers in some range [1,m] are specified, and three communicating parties each know two of the three subsets. The goal is
Exponential_time_hypothesis
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
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
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
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
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)
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
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
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
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)
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
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
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
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
Extreme element of a preorder
In mathematics, especially in order theory, a maximal element of a subset S {\displaystyle S} of some preordered set is an element of S {\displaystyle
Maximal_and_minimal_elements
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
Set of markup declarations for SGML-family markup language
larger sets defined as part of the ISO SGML standard effort. XML uses a subset of SGML DTD. An attempt to create namespace-aware DTDs was being developed
Document_type_definition
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)
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
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
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
Subset (often algebraic set) that is not the union of subsets of the same nature
as the union of two proper algebraic subsets. An irreducible component of an algebraic set is an algebraic subset that is irreducible and maximal (for
Irreducible_component
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)
Inputs for which a function's value is non-zero
In mathematics, the support of a real-valued function f is the subset of the function's domain consisting of those elements that are not mapped to zero
Support_(mathematics)
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)
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
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
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
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
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
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
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
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. Note that having the
Perfect_set_property
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)
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
Data organization and storage formats
for a subset of this list see comparison of data structures. Boolean, true or false. Character Floating-point representation of a finite subset of the
List_of_data_structures
Set of real numbers that is not Lebesgue measurable
total mass is 2. There is a natural question here: if E is an arbitrary subset of the real line, does it have a 'mass' or 'total length'? As an example
Vitali_set
Status held by an entity as determined by the law
describes the legal rights, duties and obligations of a person or entity, or a subset of those rights and obligations. The term may be used to describe a person's
Legal_status
American large-cap stock market index
mega-cap) stocks maintained by S&P Dow Jones Indices. The S&P 100 is a subset of the S&P 500 and the S&P 1500, and holds stocks that tend to be the largest
S&P_100
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
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
Proof in set theory
numbers. Since T is uncountable, the image of this function, which is a subset of R, is uncountable. Therefore, R is uncountable. Also, by using a method
Cantor's_diagonal_argument
travel, tourism, insurance
SUBSET
SUBSET
SUBSET
SUBSET
SUBSET
SUBSET
SUBSET
SUBSET
SUBSET
travel, tourism, insurance