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Term in combinatorics
In combinatorics, a ( v , k , λ ) {\displaystyle (v,k,\lambda )} difference set is a subset D {\displaystyle D} of size k {\displaystyle k} of a group
Difference_set
Elements in exactly one of two sets
symmetric difference of two sets, also known as the disjunctive union and set sum, is the set of elements which are in either of the sets, but not in
Symmetric_difference
Set of the elements not in a given subset
a set B, also termed the set difference of B and A, written B∖A, is the set of elements in B that are not in A. If A is a set, then the absolute complement
Complement_(set_theory)
Topics referred to by the same term
Look up difference or différence in Wiktionary, the free dictionary. Difference commonly refers to: Difference (philosophy), the set of properties by which
Difference
Numbers whose differences are not squares
In mathematics, a square-difference-free set is a set of natural numbers, no two of which differ by a square number. Hillel Furstenberg and András Sárközy
Square-difference-free_set
Open conjecture that no real circulant Hadamard matrix has order greater than 4
Equivalently, the conjecture asserts that no nontrivial cyclic Menon–Hadamard difference set exists. The problem has equivalent formulations in terms of periodic
Ryser's conjecture on circulant Hadamard matrices
Ryser's_conjecture_on_circulant_Hadamard_matrices
Branch of mathematics that studies sets
4} is the set {2, 3}. Set difference of U and A, denoted U ∖ A, is the set of all members of U that are not members of A. The set difference {1, 2, 3}
Set_theory
Automatic mechanical calculator
The name difference engine is derived from the method of finite differences, a way to interpolate or tabulate functions by using a small set of polynomial
Difference_engine
Statistical technique to use observational data for causal analysis
Difference in differences (DiD or DD) is a quasi-experimental statistical technique used in econometrics and quantitative research in the social sciences
Difference_in_differences
Metric for difference between two colors
In color science, color difference or color distance is the separation between two colors. This metric allows quantified examination of a notion that formerly
Color_difference
Difference in electric potential between two points in space
Voltage, also known as (electrical) potential difference, electric pressure, or electric tension, is the difference in electric potential between two points
Voltage
Distinguishing properties of entities
Difference is a key concept of philosophy, denoting the process or set of properties by which one entity is distinguished from another within a relational
Difference_(philosophy)
Discrete analog of a derivative
A finite difference is a mathematical expression of the form f(x + b) − f(x + a). Finite differences (or the associated difference quotients) are often
Finite_difference
Mathematical theorem in real analysis
field of real analysis, the Steinhaus theorem states that the difference set of a set of positive measure contains an open neighbourhood of zero. It
Steinhaus_theorem
Collection of mathematical objects
intersection, set difference, symmetric difference and absolute complement (complement in U). The powerset is a Boolean ring that has symmetric difference as addition
Set_(mathematics)
Sums vector sets A and B by adding each vector in A to each vector in B
are well defined. The Minkowski difference (also Minkowski subtraction, Minkowski decomposition, or geometric difference) is the corresponding inverse,
Minkowski_addition
Image-based puzzle
video games. They are a type of puzzle where players must find a set number of differences between two otherwise similar images, whether they are illustrations
Spot_the_difference
Symmetric arrangement of finite sets
order n. A set of n − 1 MOLS of order n can be used to construct a projective plane of order n (and conversely). A (v, k, λ) difference set is a subset
Combinatorial_design
Class of numerical techniques
domain into a uniform grid (see image). This means that finite-difference methods produce sets of discrete numerical approximations to the derivative, often
Finite_difference_method
Set of distances defined from a set of points
distance set of a collection of points is the set of distances between distinct pairs of points. Thus, it can be seen as the generalization of a difference set
Distance_set
Comprehensive list of Magic: The Gathering card sets since its inception in 1993
card number but have various differences; cards are numbered out of 216, but there are more distinct cards than this in the set. ^XXXVII: Also known as "Introductory
List of Magic: The Gathering sets
List_of_Magic:_The_Gathering_sets
Concept in descriptive set theory (mathematics)
{\displaystyle A} . The set of difference sets of natural numbers is an analytic set, and is complete for analytic sets. Analytic sets are also called Σ 1
Analytic_set
1968 book by Gilles Deleuze
Difference and Repetition (French: Différence et répétition) is a book by French philosopher Gilles Deleuze. Originally published in France by Presses
Difference_and_Repetition
Set of methods in numerical analysis
Nonstandard finite difference schemes is a general set of methods in numerical analysis that gives numerical solutions to differential equations by constructing
Nonstandard finite difference scheme
Nonstandard_finite_difference_scheme
set theory, a branch of mathematics, the difference hierarchy over a pointclass is a hierarchy of larger pointclasses generated by taking differences
Difference_hierarchy
1990 alternative history novel by William Gibson and Bruce Sterling
The Difference Engine (1990) is an alternative history novel by William Gibson and Bruce Sterling. It has been described as an early work of the steampunk
The_Difference_Engine
Intuitively, a difference variety over a difference field K {\displaystyle K} is the set of solutions of a system of algebraic difference equations over
Difference_algebra
Form of financial derivative
In finance, a contract for difference (CFD) is a financial agreement between two parties, commonly referred to as the "buyer" and the "seller." The contract
Contract_for_difference
23rd episode of the 1st season of The Twilight Zone
"A World of Difference" is the twenty-third episode of the American television anthology series The Twilight Zone. You're looking at a tableau of reality
A_World_of_Difference
Well-spaced set of points in a metric space
space, a set X is a Meyer set if it is relatively dense and its difference set X − X is uniformly discrete. Equivalently, X is a Meyer set if both X
Delone_set
Set of arguments where two or more functions have the same value
a set of arguments where two or more functions have equal values. An equaliser is the solution set of an equation. In certain contexts, a difference kernel
Equaliser_(mathematics)
Mathematical subject
sets related? (Not to be confused: the terms difference set and product set can have other meanings.) The sets being studied may be subsets of algebraic
Arithmetic_combinatorics
Smallest 3D projective space
design is 74, and also set complement to fano plane, 73. Since 73 has difference set (1,2,4), 74 planes are the complement set (0,3,5,6). The 21 lines
PG(3,2)
Type of location test in statistical analysis
A paired difference test, better known as a paired comparison, is a type of location test that is used when comparing two sets of paired measurements
Paired_difference_test
Difference of an open set by a meager set
Baire property if there is an open set U⊆X such that A△U is a meager subset, where △ denotes the symmetric difference. Further, A has the Baire property
Property_of_Baire
Furstenberg–Sárközy theorem to state that the number of elements in a square-difference-free set of positive integers could only exceed the square root of its largest
List of conjectures by Paul Erdős
List_of_conjectures_by_Paul_Erdős
Distinguishable physical characteristic
A visible difference refers to a physical characteristic, such as a scar, mark, disfigurement, or condition on the face or body that distinguishes an individual
Visible_difference
Class of sequences of natural numbers
Javier; Nathanson, Melvyn B. (July 2008). "Perfect difference sets constructed from Sidon sets". Combinatorica. 28 (4): 401–414. arXiv:math/0609244
Sidon_sequence
Native American mathematician
and a PhD in 1964. His thesis was titled A Family of Generalized Difference Sets, and was advised by Albert Whiteman. Storer was one of the first Native
Thomas Storer (American mathematician)
Thomas_Storer_(American_mathematician)
Standard system of axiomatic set theory
In set theory, Zermelo–Fraenkel set theory, named after mathematicians Ernst Zermelo and Abraham Fraenkel, is an axiomatic system that was proposed in
Zermelo–Fraenkel_set_theory
Identities and relationships involving sets
laws A∪(A∩B)=A A∩(A∪B)=A Intersection can be expressed in terms of set difference: A∩B=A∖(A∖B) Let A and B be subsets of a universe 𝑼, then:
Algebra_of_sets
Process of mapping a continuous set to a countable set
of mapping input values from a large set (often a continuous set) to output values in a (countable) smaller set, often with a finite number of elements
Quantization (signal processing)
Quantization_(signal_processing)
Use of braces for specifying sets
{Z} ,n=2k\}} — The set of all even integers, expressed in set-builder notation. In mathematics and more specifically in set theory, set-builder notation
Set-builder_notation
Algorithm for solving the partition problem
single number is the difference in sums between the two subsets. For example, if S = {8,7,6,5,4}, then the resulting difference-sets are {6,5,4,1} after
Largest_differencing_method
Perspective of mathematical philosophy
continuum hypothesis is true or false before selecting a model of set theory. Another difference is that the statement "For every transitive model of ZFC there
Multiverse_(set_theory)
Algorithm for computing polynomial coefficients
Charles Babbage's difference engine, an early mechanical calculator, was designed to use this algorithm in its operation. Divided differences is a recursive
Divided_differences
Set of elements common to all of some sets
Naive set theory – Informal set theories Symmetric difference – Elements in exactly one of two sets Union – Set of elements in any of some sets "Intersection
Intersection_(set_theory)
Mathematician, programmer
published in their paper titled "On the p-rank of the design matrix of a difference set". One of MacWilliams' significant achievements was her encyclopedic
Jessie_MacWilliams
Diagram that shows all possible logical relations between a collection of sets
Intersection of two sets A ∩ B {\displaystyle ~A\cap B} Union of two sets A ∪ B {\displaystyle ~A\cup B} Symmetric difference of two sets A △ B {\displaystyle
Venn_diagram
Paradox in set theory
Zermelo set theory developed into the standard Zermelo–Fraenkel set theory (commonly known as ZFC when including the axiom of choice). The main difference between
Russell's_paradox
Informal set theories
complement of B relative to A, also known as the set theoretic difference of A and B, is the set of all objects that belong to A but not to B. It is written
Naive_set_theory
the concept of Make A Difference and formed a founding team with friends, peers and members of the community. The NGO had been set up to work with children
Make_A_Difference
Numerical method in mathematical finance
option price evolves over time by a set of (discrete-time) difference equations; see aside. The discrete difference equations may then be solved iteratively
Finite difference methods for option pricing
Finite_difference_methods_for_option_pricing
Mathematical construction of a set with an equivalence relation
relation on a set, one immediately forms the quotient set (turning equivalence into equality). In contrast, setoids may be used when a difference between identity
Setoid
conjecture: if an abelian group of order v {\displaystyle v} contains a difference set of order n {\displaystyle n} , and a prime p {\displaystyle p} divides
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
looking at the volume of the difference set obtained by subtracting the original set S {\displaystyle S} from the fattened set. In the paper introducing
Exterior_dimension
Sets whose elements have degrees of membership
Symmetric Difference of Fuzzy Sets, in: Fuzzy Sets Theory and Applications 2014, Liptovský Ján, Slovak Republic Goguen, J.A (1967). "L-fuzzy sets". Journal
Fuzzy_set
Tasks in machine learning
data sets. In particular, three data sets are commonly used in different stages of the creation of the model: training, validation, and testing sets. The
Training, validation, and test data sets
Training,_validation,_and_test_data_sets
Mathematical set containing no elements
the empty set or void set is the unique set having no elements; its size or cardinality (count of elements in a set) is zero. Some axiomatic set theories
Empty_set
notable variations being British and American spelling. Many of the differences between American and British or Commonwealth English date back to a time
American and British English spelling differences
American_and_British_English_spelling_differences
UK market support mechanism for low carbon electricity generation
Contracts for Difference (CfD) are the main market support mechanism or subsidy for low carbon electricity generation in the UK. The scheme replaced the
Contracts for Difference (UK energy)
Contracts_for_Difference_(UK_energy)
higher-dimensional Euclidean space such that its Minkowski difference with itself is uniformly discrete. Meyer sets have several equivalent characterizations; they
Meyer_set
Geometric concept of a 2D space with "points at infinity" adjoined
a generalization of a finite projective plane. Combinatorial design Difference set Incidence structure Generalized polygon Projective geometry Non-Desarguesian
Projective_plane
Differences in the mental functions and behaviors of the sexes
"sex differences" and "gender differences" are sometimes used interchangeably in psychosexual analysis. Gender is generally conceived of as a set of characteristics
Sex_differences_in_psychology
Open set Clopen set Fσ set Gδ set Compact set Relatively compact set Regular open set, regular closed set Connected set Perfect set Meagre set Nowhere
List_of_types_of_sets
19th century proposed mechanical computer
Babbage. It was first described in 1837 as the successor to Babbage's difference engine, which was a design for a simpler mechanical calculator. The analytical
Analytical_engine
Pair of logical equivalences
complement of the union of two sets is the same as the intersection of their complements The complement of the intersection of two sets is the same as the union
De_Morgan's_laws
Texts regarded as part of the Bible
A biblical canon is a set of texts (also called "books") which a particular Jewish or Christian religious community regards as part of the Bible. The
Biblical_canon
algorithms that perform projections onto constraint sets. From a mathematical perspective, the difference-map algorithm is a dynamical system based on a mapping
Difference-map_algorithm
Numerical analysis technique
Finite-difference time-domain (FDTD) or Yee's method (named after the Chinese American applied mathematician Kane S. Yee, born 1934) is a numerical analysis
Finite-difference time-domain method
Finite-difference_time-domain_method
Any collection of sets, or subsets of a set
"family of sets" because if one instead uses "set of sets" then the subsequent use of "set" can be confusing as to whether it is the containing set or one
Family_of_sets
Alternative to the standard Zermelo–Fraenkel set theory
set theory Morse–Kelley set theory Tarski–Grothendieck set theory Ackermann set theory Type theory New Foundations Positive set theory Internal set theory
List of alternative set theories
List_of_alternative_set_theories
Axiomatic set theories based on the principles of mathematical constructivism
equivalent to the classical statement. The difference is that the constructive proofs are harder to find. In set theory, a restriction to the constructive
Constructive_set_theory
Sets big enough to assert the existence of arithmetic progressions with common difference
generalized to assert the existence of arithmetic progressions with common difference in S. That is, S is large if and only if every finite partition of the
Large_set_(Ramsey_theory)
Finite ordered list of elements
n-tuple can be formally defined as the image of a function that has the set of the first n natural numbers as its domain (1, 2, ..., n). Tuples may be
Tuple
Family closed under unions and relative complements
of sets R {\displaystyle {\mathcal {R}}} is called a ring (of sets) if it is closed under union and relative complement (set-theoretic difference). That
Ring_of_sets
American pop rock band
Days Difference was an American pop rock band that formed in Virginia Beach, Virginia, in 2004. The quartet consists of Jeremy Smith (lead vocals/keyboards)
Days_Difference
Mathematical expression
interpolation polynomial for a given set of data points. The Newton polynomial is sometimes called Newton's divided differences interpolation polynomial because
Newton_polynomial
Mathematical set that can be enumerated
Definitions vary and care is needed respecting the difference with recursively enumerable. A set S {\displaystyle S} is countable if: Its cardinality
Countable_set
Mathematician (1845–1918)
January 1918) was a mathematician who played a pivotal role in the creation of set theory, which has become a fundamental theory in mathematics. Cantor established
Georg_Cantor
Mathematical set of all subsets of a set
considered with the operation of symmetric difference (with the empty set as the identity element and each set being its own inverse), and a commutative
Power_set
Concept in axiomatic set theory
In many popular versions of axiomatic set theory, the axiom schema of specification, also known as the axiom schema of separation (Aussonderungsaxiom)
Axiom_schema_of_specification
Indian American mathematician and statistician (1901-1987)
scheme, and strongly regular graph and started a systematic study of difference sets to construct symmetric block designs. He was notable for his work along
Raj_Chandra_Bose
Set of elements in any of some sets
sequence List of set identities and relations – Equalities for combinations of sets Naive set theory – Informal set theories Symmetric difference – Elements
Union_(set_theory)
Set that is not a finite set
In set theory, an infinite set is a set that is not a finite set. Infinite sets may be countable or uncountable. The set of natural numbers (whose existence
Infinite_set
Any one of the distinct objects that make up a set in set theory
mathematics, an element (or member) of a set is any one of the distinct objects that belong to that set. For example, given a set called A containing the first four
Element_of_a_set
waiter "I'm all set. I'll take the check." A number of English idioms that have essentially the same meaning show lexical differences between the British
Comparison of American and British English
Comparison_of_American_and_British_English
Mathematik: 238–245, ISSN 0075-4102, JFM 38.0238.03 Storer, Thomas (1967), Cyclotomy and difference sets, Chicago: Markham Publishing Company, Zbl 0157.03301
Jacobsthal_sum
In mathematics, operation on sets
displaying short descriptions of redirect targets Symmetric difference – Elements in exactly one of two sets Tagged union – Union data structure with enforced cases
Disjoint_union
DEC character encoding used on VT220 terminals
than differences. In addition to unused code points, differences from ISO 8859-1 are: Differences from ISO-8859-1 Lotus International Character Set (LICS)
Multinational_Character_Set
Set with exactly one element
a singleton (also known as a unit set or one-point set) is a set with exactly one element. For example, the set { 0 } {\displaystyle \{0\}} is a singleton
Singleton_(mathematics)
On distance sets of high-dimensional sets
result of Hugo Steinhaus proving that every set of real numbers with nonzero measure must have a difference set that contains an interval of the form ( −
Falconer's_conjecture
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
Branch of psychology
that develops classifications (taxonomies) of psychological individual differences. This is distinguished from other aspects of psychology in that, although
Differential_psychology
Difference in time that it takes a sound to travel between two ears
when using a random noise stimulus and is calculated as the time difference between a set peak of the noise stimulus reaching the ears. If the stimulus used
Interaural_time_difference
Mathematical set containing all objects
In set theory, a universal set is a set that contains all of the objects in the theory, including itself. In set theory as usually formulated, it can
Universal_set
Set with algorithmic membership test
In computability theory, a set of natural numbers is computable (or decidable, or recursive) if there is an algorithm that computes the membership of
Computable_set
"Small" subset of a topological space
Negligible set – Mathematical set regarded as insignificant, for analogs to meagre Property of Baire – Difference of an open set by a meager set Narici &
Meagre_set
Family of RISC-based computer architectures
is a family of RISC instruction set architectures for computer processors. Arm Holdings develops the instruction set architecture and licenses it to other
ARM_architecture_family
1984 film by Charles Shyer
Irreconcilable Differences is a 1984 American comedy-drama film starring Ryan O'Neal, Shelley Long, and Drew Barrymore. It is loosely inspired on the
Irreconcilable_Differences
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