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Transformations induced by a mathematical group
of a group G {\displaystyle G} on a set S {\displaystyle S} is, loosely speaking, an operation that takes an element of G {\displaystyle G} and an element
Group_action
Comprehensive list of Magic: The Gathering card sets since its inception in 1993
The trading card game Magic: The Gathering has released a large number of sets since it was first published by Wizards of the Coast. After the 1993 release
List of Magic: The Gathering sets
List_of_Magic:_The_Gathering_sets
Class of electric train operating in Sydney, Australia
Rattler" sets from service in the late 1980s and early 1990s. The Tangaras were initially built as two classes; the long-distance intercity G sets and the
New_South_Wales_T_set
Topics referred to by the same term
Look up set in Wiktionary, the free dictionary. Set, The Set, SET or SETS may refer to: Set (mathematics), a collection of elements Category of sets, the
Set
Type of data structure
S.R ∪ T.R Two G-Sets (grow-only sets) are combined to create the 2P-set. With the addition of a remove set (called the "tombstone" set), elements can
Conflict-free replicated data type
Conflict-free_replicated_data_type
Class of electric multiple unit operating in Sydney, Australia
and design to the previous Intercity Tangara G sets. Currently operating as 55 four-carriage sets, the H sets now operate between Sydney and the South Coast
New_South_Wales_H_set
Egyptian god of the desert, storms, violence, and foreigners
Set (/sɛt/; Egyptological: Sutekh - swtẖ ~ stẖ or: Seth /sɛθ/) is a god of deserts, storms, disorder, violence, and foreigners in ancient Egyptian religion
Set_(deity)
Branch of mathematics that studies sets
of naive set theory. After the discovery of paradoxes within naive set theory (e.g. Russell's paradox, Cantor's paradox, and the Burali-Forti paradox
Set_theory
Collection of mathematical objects
of sets. Specifically, a function from A {\displaystyle A} to B {\displaystyle B} is a triple ( A , B , G ) {\displaystyle (A,B,G)} of sets with
Set_(mathematics)
group G {\displaystyle G} on a set X {\displaystyle X} is a subset Y {\displaystyle Y} of X {\displaystyle X} whose images under G {\displaystyle G} either
Block (permutation group theory)
Block_(permutation_group_theory)
Countable intersection of open sets
set is a countable intersection of open sets. The Gδ sets are exactly the level Π0 2 sets of the Borel hierarchy. Any open set is trivially a Gδ set.
Gδ_set
Unrelated vertices in graphs
number of G {\displaystyle G} and is usually denoted by α ( G ) {\displaystyle \alpha (G)} . The optimization problem of finding such a set is called
Independent set (graph theory)
Independent_set_(graph_theory)
Subset of a graph's nodes such that all other nodes link to at least one
dominating set for a graph G is a subset D of its vertices, such that any vertex of G is in D, or has a neighbor in D. The domination number γ(G) is the
Dominating_set
Japanese high-speed train type
sections of surplus non-powered G set cars onto powered intermediate cars renumbered into the 121-5050 and 122-5050 series. Set P1 was the first to be repainted
100_Series_Shinkansen
Term in combinatorics
(v,k,\lambda )} difference set is a subset D {\displaystyle D} of size k {\displaystyle k} of a group G {\displaystyle G} of order v {\displaystyle v}
Difference_set
Type of continuous map in topology
Let G {\displaystyle G} be a topological group. The category G − S e t {\displaystyle {\boldsymbol {G-Set}}} is the category of sets which are G-sets. The
Covering_space
Category where every morphism is invertible; generalization of a group
G {\displaystyle G} is sometimes denoted as G 1 ⇉ G 0 {\displaystyle G_{1}\rightrightarrows G_{0}} , where G 1 {\displaystyle G_{1}} is the set of
Groupoid
Basis sets used in quantum chemistry
STO-nG basis sets are minimal basis sets used in computational chemistry, more specifically in ab initio quantum chemistry methods, to calculate the molecular
STO-nG_basis_sets
Fractal named after mathematician Benoit Mandelbrot
The Mandelbrot set (/ˈmændəlbroʊt, -brɒt/) is a two-dimensional set. It is defined in the complex plane as the complex numbers c {\displaystyle c} for
Mandelbrot_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 developed
Power_set
American drama film
The Julia Set is an upcoming American coming-of-age drama film written and directed by Niki Byrne, starring Chase Infiniti, Gillian Anderson, Christopher
The_Julia_Set
"Small" subset of a topological space
dense open set), a comeagre set need not be a G δ {\displaystyle G_{\delta }} set (countable intersection of open sets), but contains a dense G δ {\displaystyle
Meagre_set
Weighted tree representing s-t cuts of a graph
for each s , t ∈ V G {\displaystyle s,t\in V_{G}} . Let T = ( V G , E T ) {\displaystyle T=(V_{G},E_{T})} be a tree, and denote the set of edges in an s-t
Gomory–Hu_tree
Fractal sets in complex dynamics of mathematics
the Julia set and the Fatou set are two complementary sets (Julia "laces" and Fatou "dusts") defined from a function. Informally, the Fatou set of the function
Julia_set
Measurable set whose measure is zero
{\displaystyle f} and g {\displaystyle g} are equal except on a null set, then f {\displaystyle f} is integrable if and only if g {\displaystyle g} is, and their
Null_set
Fictional character created by Sacha Baron Cohen
interviews with unsuspecting subjects who do not realise they have been set up. Ali G first appeared as the "voice of youth" on Channel 4's The 11 O'Clock
Ali_G
Mapping between categories
action of G on a particular set, i.e. a G-set. Likewise, a functor from G to the category of vector spaces, VectK, is a linear representation of G. In general
Functor
Mathematical optimization algorithm
minimize or maximize, and a set of constraints g 1 ( x ) ≥ 0 , … , g k ( x ) ≥ 0 {\displaystyle g_{1}(x)\geq 0,\dots ,g_{k}(x)\geq 0} that define the
Active-set_method
List of characters appearing in the Marvel Cinematic Universe
Contents: A B C D E F G H I J K L M–Z (next page) See also References Ajak (portrayed by Salma Hayek) is the wise and spiritual leader of the Eternals
Characters of the Marvel Cinematic Universe: A–L
Characters_of_the_Marvel_Cinematic_Universe:_A–L
Totemic animal of the god Set
In ancient Egyptian art, the Set animal, or sha,[citation needed] is the affiliated animal of the god Set. Because Set was identified with the Greek monster
Set_animal
Set of points on a line segment with certain topological properties
In mathematics, the Cantor set is a self-similar set of points lying on a single line segment that has a number of unintuitive properties. It was discovered
Cantor_set
Character sets used for Videotex
graphical sets include JIS X 0201 and JIS X 0208. The following G-sets are available through ISO/IEC 2022-based designation escapes: The mosaic sets supply
Videotex_character_set
Retired class of electric multiple unit operated in New South Wales, Australia
scrapped. Official withdrawal of the sets began in 1994 as new Tangara G sets began replacing them. The first Tangara G sets entered service in June 1994 and
New_South_Wales_U_set
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
Mathematical set that can be enumerated
mathematical set is countable if either it is finite or it can be put in one to one correspondence with the set of natural numbers. Equivalently, a set is countable
Countable_set
Abstract algebra concept
subgroup below. If G {\displaystyle G} is a topological group then a subset S {\displaystyle S} of G {\displaystyle G} is called a set of topological generators
Generating_set_of_a_group
Pattern-finding real-time card game
Set (stylized as SET or SET!) is a real-time card game designed by Marsha Falco in 1974 and published by Set Enterprises in 1991. The deck consists of
Set_(card_game)
paradoxical sets. Suppose a group G {\displaystyle G} acts on a set A {\displaystyle A} . Then A {\displaystyle A} is G {\displaystyle G} -paradoxical
Paradoxical_set
Series of Sport Utility Vehicles (SUVs)
The Mercedes-Benz G-Class, colloquially known as the G-Wagon or G-Wagen (as an abbreviation of Geländewagen), is a four-wheel drive luxury SUV sold by
Mercedes-Benz_G-Class
Concept in mathematics
= r 1 g 1 + ⋯ + r m g m . {\displaystyle x=r_{1}g_{1}+\cdots +r_{m}g_{m}.} Put in another way, there is a surjection ⨁ g ∈ Γ R → M , r g ↦ r g g , {\displaystyle
Generating_set_of_a_module
Japanese high speed train type
the N700A series G set fleet is as follows. 81 x 16-car sets, X0–X80 (converted from N700-0 series) These are former N700 series Z sets modified between
N700_Series_Shinkansen
Class of mathematical sets
. Let G i = [ G i − 1 ] δ σ . {\displaystyle G^{i}=[G^{i-1}]_{\delta \sigma }.} If i {\displaystyle i} is a limit ordinal, set G i = ⋃ j < i G j . {\displaystyle
Borel_set
FIFA World Cup group
Group G of the 2026 FIFA World Cup took place from June 15 to 26, 2026. The group consisted of Belgium, Egypt, Iran, and New Zealand. All of the matches
2026_FIFA_World_Cup_Group_G
Abstract approach to algebraic geometry
for the topology of subgroups of finite index. A finite G-set is then a finite set X on which G acts through a quotient finite cyclic group, so that it
Grothendieck's_Galois_theory
Tasks in machine learning
model is initially fit on a training data set, which is a set of examples used to fit the parameters (e.g. weights of connections between neurons in
Training, validation, and test data sets
Training,_validation,_and_test_data_sets
Finite sets whose elements are all hereditarily finite sets
{\displaystyle \{\{\},\{\{\{\}\}\}\}} , ... sets represented with 6 {\displaystyle 6} bracket pairs, e.g. { { { { { { } } } } } } {\displaystyle
Hereditarily_finite_set
{\displaystyle B} is a set S ⊆ G {\displaystyle S\subseteq G} such that ⟨ S ∩ G ( i ) ⟩ = G ( i ) {\displaystyle \langle S\cap G^{(i)}\rangle =G^{(i)}} for each
Strong_generating_set
Japanese high speed train type
earlier 12-car E sets, with a maximum speed of 210 km/h (130 mph). These entered service from 18 April 1987. The initial 10-car G sets were formed as follows
200_Series_Shinkansen
} and g {\displaystyle g} , the closeness is always less than 1/2 (in our example it is 0.15926...). A collection of numbers is a Heilbronn set if for
Heilbronn_set
Classical problem in combinatorics
collection of sets S = { {1, 2}, {2, 3}, {3, 1} }. The smallest set cover has a size of 2, e.g. { {1, 2}, {2, 3} }. But there is a fractional set cover of
Set_cover_problem
Device to create output for a television
A set-top box (STB), also known as a cable box, receiver, or simply box, and historically television decoder or a converter, is an information appliance
Set-top_box
Construction in combinatorial group theory
Schreier coset graph is a graph associated with a group G, a generating set of G, and a subgroup of G. The Schreier graph encodes the abstract structure of
Schreier_coset_graph
Maps whose domain and codomain are acted on by the same group, and the map commutes
f(x·g) = f(x)·g; (right-right) f(x·g) = g−1·f(x); (right-left) f(g·x) = f(x)·g−1; (left-right) Equivariant maps are morphisms in the category of G-sets (for
Equivariant_map
Embedding of categories into functor categories
{\displaystyle \mathbf {Set} } , Yoneda's lemma asserts that N a t ( h A , G ) ≅ G ( A ) . {\displaystyle \mathrm {Nat} (h^{A},G)\cong G(A).} The bijections
Yoneda_lemma
Upcoming film by Alejandro G. Iñárritu
Naman (October 22, 2024). "Tom Cruise, Alejandro G. Iñárritu Film at Warner Bros. and Legendary Sets U.K. Shoot (Exclusive)". Variety. Retrieved October
Digger_(2026_film)
In geometry, set whose intersection with every line is a single line segment
geometry, a set of points is convex if it contains every line segment between two points in the set. For example, a solid cube is a convex set, but anything
Convex_set
2017 studio album by Karol G
Unstoppable is the debut studio album by Colombian singer Karol G. It was released on October 27, 2017, through Universal Music Latino. Comprising thirteen
Unstoppable_(Karol_G_album)
Mathematical category
G {\displaystyle G} . Since any functor must give a G {\displaystyle G} -action on the target, this gives the category of G {\displaystyle G} -sets.
Topos
Technique invented by Paul Cohen for proving consistency and independence results
expand the set theoretical universe V {\displaystyle V} to a larger universe V [ G ] {\displaystyle V[G]} by introducing a new "generic" object G {\displaystyle
Forcing_(mathematics)
Collection of objects studied in music theory
theory, as in mathematics (see set) and general parlance, a set (pitch set, pitch-class set, set class, set form, set genus, pitch collection) is a collection
Set_(music)
Basic subset of a topological space
set is a generalization of an open interval in the real line. In a metric space (a set with a distance defined between every two points), an open set
Open_set
Device for receiving and viewing video content
A television set or television receiver (more commonly called TV, TV set, television, telly, or tele) is an electronic device for viewing and hearing
Television_set
Use of braces for specifying sets
predicates yield equal sets below. For each integer m, we can define G m = { x ∈ Z ∣ x ≥ m } = { m , m + 1 , m + 2 , … } {\displaystyle G_{m}=\{x\in \mathbb
Set-builder_notation
wholly set in or shot in Miami. The listed shows span a wide variety of genres and range from shows almost entirely shot and set in the city (e.g., The
List of films and television shows set in Miami
List_of_films_and_television_shows_set_in_Miami
Largest gem-quality diamond ever discovered
48 g) Lahore Diamond. Cullinan IV, also referred to as a Lesser Star of Africa, is square-cut and weighs 63.6 carats (12.72 g). In 1911 it was first set
Cullinan_Diamond
Theorem in homotopy theory
of finite G-sets, with addition the disjoint union of G-sets and identity element the empty set (which is a G-set in a unique way). Then A(G), the Grothendieck
Segal's_conjecture
{f(x):x∈X} [ ] 1. M[G] is the smallest model of ZF containing G and all elements of M. 2. [α]β is the set of all subsets of a set α of cardinality β,
Glossary_of_set_theory
Class templates in the C++ programming language
defined in headers named after the names of the containers, e.g. set is defined in header <set>. All containers satisfy the requirements of the Container
Associative_containers_(C++)
Special types of subgroups encountered in group theory
group G is the set C G ( S ) {\displaystyle \operatorname {C} _{G}(S)} of elements of G that commute with every element of S, or equivalently, the set of
Centralizer_and_normalizer
Thai stock market index
The SET Index is a Thai composite stock market index calculated by the prices of all common stocks (including unit trusts of property funds) on the main
SET_Index
Group of all devices on the same wireless network
characteristics (e.g. radio frequency, modulation scheme, security settings) such that they are wirelessly networked. The basic service set is defined by a
Service_set_(802.11_network)
Mathematical term
theory and cryptography, an index set is a set for which there exists an algorithm I that can sample the set efficiently; e.g., on input 1n, I can efficiently
Index_set
Functor type
G to Set corresponds to the canonical G-set G with the action of left multiplication. Standard arguments from group theory show that a functor from G
Representable_functor
Disjoint, equal-size subsets of a group's underlying set
specifically group theory, a subgroup H of a group G may be used to decompose the underlying set of G into disjoint, equal-size subsets called cosets. There
Coset
Sets whose elements have degrees of membership
fuzzy set: For fuzzy sets A , G {\displaystyle A,G} with G ≠ ∅, we can define the relative cardinality by: RelCard ( A , G ) = sc ( A | G ) = sc
Fuzzy_set
Set of resources actively used by a process
Working Sets Past and Present. IEEE Transactions on Software Engineering, 1/1980, Volume SE-6, pp. 64–84. [1] Silberschatz, A., Galvin, P.B., & Gagne, G. (2005)
Working_set
Association of one output to each input
terms of set theory, and this greatly increased the possible applications of the concept. A function is often denoted by a letter such as f, g or h. The
Function_(mathematics)
Category theory
category of a finite group G is a category whose objects are finite G-sets and whose morphisms are (equivalence classes of) spans of G-equivariant maps. It
Burnside_category
Model that describes the programmable interface of a computer processor
any instruction set using C and standard APIs Processor design Simulation Register transfer language (RTL) Or pair of instructions, e.g., XED on the GE
Instruction_set_architecture
Character sets used by Casio computers
Casio calculator character sets are a group of character sets used by various Casio calculators and pocket computers. Lead byte ^*1 Back control code
Casio calculator character sets
Casio_calculator_character_sets
British singer, rapper, producer and DJ
2010, Cooly G set up a record label, Dub Organizer, a name she had previously used for a series of CD-R releases. She played Boiler Room DJ sets in London
Cooly_G
Disaster in Santo Domingo, Dominican Republic
On 8 April 2025, the roof of the Jet Set nightclub in Santo Domingo, Dominican Republic collapsed during a live performance by merengue musician Rubby
Jet Set nightclub roof collapse
Jet_Set_nightclub_roof_collapse
Algebraic structure
representation of G. Group (co)homology provides an important set of tools for studying general G {\displaystyle G} -modules. The term G-module is also used
G-module
replace the G set Tangaras on outer suburban runs, however in addition to this they have also been used to replace some of the older interurban V sets which
Sydney_Trains_rolling_stock
Finite collection of distinct objects
(or the cardinal number) of the set. A set that is not a finite set is called an infinite set. For example, the set { 1 , 2 , 3 , … } {\displaystyle
Finite_set
Social category or corporate social group
group or class in a school could be regarded as a simple example of an age set (e.g. 'Class of 2004'), the term is most commonly used to refer to systems in
Age_set
System of mathematical set theory
function G {\displaystyle G} defined on the class of all nonempty sets such that G ( x ) ∈ x {\displaystyle G(x)\in x} for every nonempty set x . {\displaystyle
Von Neumann–Bernays–Gödel set theory
Von_Neumann–Bernays–Gödel_set_theory
Type of internal set in nonstandard analysis
of mathematics, a hyperfinite set or *-finite set is a type of internal set. An internal set H of internal cardinality g ∈ *N (the hypernaturals) is hyperfinite
Hyperfinite_set
2003 train crash in New South Wales, Australia
2003, south of Waterfall, New South Wales, Australia, an Intercity Tangara G set derailed on a curve at high speeds when the driver had a heart attack, falling
Waterfall_rail_accident
Racing discipline of alpine skiing
In the Olympics, super-G courses are usually set on the same slopes as the downhill, but with a lower starting point. Super-G was run as a World Cup test
Super-G
Principal connection
\mathbb {C} } , with a distinguished Borel subgroup B = B G ⊂ G {\displaystyle B=B_{G}\subset G} . Set N = [ B , B ] {\displaystyle N=[B,B]} , so that H = B
Oper_(mathematics)
set in the city of Rome during the Roman Kingdom, the Roman Republic, or the Roman Empire. The films only partly set in Rome are so noted. Films set during
List of films set in ancient Rome
List_of_films_set_in_ancient_Rome
Citation metric
definition g 2 ≤ ∑ i ≤ g c i {\displaystyle g^{2}\leq \sum _{i\leq g}c_{i}} as g ≤ 1 g ∑ i ≤ g c i . {\displaystyle g\leq {\frac {1}{g}}\sum _{i\leq g}c_{i}
G-index
Object in graph theory
graph theory, an eternal dominating set for a graph G = (V, E) is a subset D of V such that D is a dominating set on which mobile guards are initially
Eternal_dominating_set
Bodybuilding and weight training technique
Candow, Darren G.; Brahms, C. Markus; Michel, Deborah; Zello, Gordon A. (1 October 2016). "Effect of creatine supplementation and drop-set resistance training
Drop_set
Japanese anime television series
MyGO!!!!! is set to premiere in January 2027. An anime film produced by Nichicaline, titled BanG Dream! Ave Mujica prima aurora, is set to release in
BanG_Dream!_Ave_Mujica
Motorcycle accessory manufacturer
2015-05-24. "R&G Ducati Cup Shield" (PDF). msvracing.com. "R&> Engine Case Covers AMA Pro Racing Eligible Equipment - Sport Rider". Sport Rider. "R&G Set To Protect
R&G_(motorcycle_accessories)
Ring that encodes the possible group actions of a finite group
of G. If G acts on a finite set X, then one can write X = ⋃ i X i {\textstyle X=\bigcup _{i}X_{i}} (disjoint union), where each Xi is a single G-orbit
Burnside_ring
Japanese anime television series
G Gundam was produced to reboot the waning popularity of the long-running franchise. It is the first Gundam series with a self-contained plot set in
Mobile_Fighter_G_Gundam
1914 novel by H.G. Wells
The World Set Free is a novel written in 1913 and published in 1914 by H. G. Wells. The book is based on a prediction of a more destructive and uncontrollable
The_World_Set_Free
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