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Topics referred to by the same term
term large set is sometimes used to refer to any set that is "large" in some sense. It has specialized meanings in three branches of mathematics: Large set
Large_set
Set of integers whose sum of reciprocals diverges
In combinatorial mathematics, a large set of positive integers S = { s 0 , s 1 , s 2 , s 3 , … } {\displaystyle S=\{s_{0},s_{1},s_{2},s_{3},\dots \}}
Large_set_(combinatorics)
Sets big enough to assert the existence of arithmetic progressions with common difference
In Ramsey theory, a set S of natural numbers is considered to be a large set if and only if Van der Waerden's theorem can be generalized to assert the
Large_set_(Ramsey_theory)
Topics referred to by the same term
physics Large numbers, numbers significantly larger than those ordinarily used in everyday life Large ordinal, a type of number in set theory Large sieve
Large
Collection of mathematical objects
a set, it suffices either to list its elements or to provide a property that characterize the set's elements among the elements of a possibly larger set
Set_(mathematics)
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
Theorem in arithmetic combinatorics
significantly larger set. More precisely, the Erdős–Szemerédi theorem states that there exist positive constants c and ε such that, for any non-empty set A ⊂ ℕ
Erdős–Szemerédi_theorem
Branch of mathematics that studies sets
consistency of large cardinals. The basic notion of grouping objects has existed since at least the emergence of numbers, and the notion of treating sets as their
Set_theory
Mathematical structure in category theory
called “small sets”, and sets that do not, such as the universe itself, “large sets”. We gain an intermediate notion of moderate set: a subset of the universe
Small_set_(category_theory)
Telescope in the Atacama Desert, Chile
equipped with a large set of instruments permitting observations to be performed from the near-ultraviolet to the mid-infrared (i.e. a large fraction of the
Very_Large_Telescope
Form of political representation
(resembling or being district and regional representatives, one set of which is at large) for return to the very same chamber, and consequent issue of multiple
At-large
blasphemous in the Italian language. The Italian language is a language with a large set of inflammatory terms and phrases, almost all of which originate from
Italian_profanity
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)
Monument in Tbilisi, Georgia
1985 but was never fully finished. The monument sits at the top of a large set of stairs, overlooking the northern part of the city from different directions
Chronicle_of_Georgia
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
Axiomatic set theories based on the principles of mathematical constructivism
also a set, via Replacement. Larger sets of subsets may be obtained by passing from 2 {\displaystyle 2} to richer sets of truth values. However, set such
Constructive_set_theory
Set of the elements not in a given subset
complement of A) is the set of elements not in A (within a larger set that is implicitly defined). In other words, let U be a set that contains all the
Complement_(set_theory)
Mathematical set that can be enumerated
5\}} , called roster form. This is only effective for small sets, however; for larger sets, this would be time-consuming and error-prone. Instead of listing
Countable_set
Type of machine learning model
perplexity on a test set. This evaluation is potentially problematic for larger models which, as they are trained on increasingly large corpora of text, are
Large_language_model
Retrieved 28 March 2012. "Eriguet dunes (large set area)". Galaxy Tours. Retrieved 2022-07-19. "Eriguet dunes (small set area)". Galaxy Tours. Retrieved 2022-07-19
List of Star Wars filming locations
List_of_Star_Wars_filming_locations
British zombie horror miniseries
Dead Set is a British satirical zombie comedy horror television miniseries created and written by Charlie Brooker and directed by Yann Demange. Set on the
Dead_Set
Processor executing one instruction in minimal clock cycles
bits in the instruction word which could then be used to select among a larger set of registers. The telephone switch program was canceled in 1975, but by
Reduced instruction set computer
Reduced_instruction_set_computer
Numbers significantly larger than those used regularly
processes give rise to astonishingly large numbers. The factorial function, which quantifies permutations of a fixed set of objects, grows superexponentially
Large_numbers
Syllable repertoire of B5900, B6500, B7500 and successors
Burroughs B6x00-7x00 instruction set includes the set of valid operations for the Burroughs B6500, B7500 and later Burroughs Large Systems, including the current
Burroughs B6x00-7x00 instruction set
Burroughs_B6x00-7x00_instruction_set
Process of mapping a continuous set to a countable set
process 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)
Maximal proper filter
exist a strictly larger collection of subsets of X {\displaystyle X} that is also a filter. (In the above, by definition a filter on a set does not contain
Ultrafilter_on_a_set
Reasoning for mathematical statements
method, one seeks an object having a given property, starting with a large set of candidates. One assigns a certain probability for each candidate to
Mathematical_proof
Property of large sets
set A of positive integers diverges, then A contains arbitrarily long arithmetic progressions. Formally, the conjecture states that if A is a large set
Erdős conjecture on arithmetic progressions
Erdős_conjecture_on_arithmetic_progressions
Set theory concept
In the mathematical field of set theory, a large cardinal property is a certain kind of property of transfinite cardinal numbers. Cardinals with such
Large_cardinal
Bioinformatics method
identify classes of genes or proteins that are over-represented in a large set of genes or proteins, and may have an association with different phenotypes
Gene_set_enrichment_analysis
Statement that is taken to be true
any sufficiently large set of axioms (Peano's axioms, for example) to construct a statement whose truth is independent of that set of axioms. As a corollary
Axiom
region), some large numbers have names that allow for describing large quantities in a textual, not mathematical, form. For very large values, the text
Names_of_large_numbers
Type of screw
type typically use large set screws holding against flats to fasten the endmill, and heavy loads are resisted. However, small set screws without flats
Set_screw
Standard system of axiomatic set theory
model Large cardinal axiom Related axiomatic set theories: Morse–Kelley set theory Von Neumann–Bernays–Gödel set theory Tarski–Grothendieck set theory
Zermelo–Fraenkel_set_theory
Non-comparative lexicographical sorting algorithm
p. 717 Sinha, Ranjan; Zobel, Justin. "Efficient Trie-Based Sorting of Large Sets of Strings". CiteSeerX 10.1.1.12.2367. Retrieved 24 August 2023. Adinets
Radix_sort
Averages of repeated trials converge to the expected value
probability theory, the law of large numbers is a mathematical law which states that the average of the results obtained from a large number of independent random
Law_of_large_numbers
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
Numbers whose differences are not squares
these sets cannot be very large. In the game of subtract a square, the positions where the next player loses form a square-difference-free set. Another
Square-difference-free_set
Set of elements common to all of some sets
In set theory, the intersection of two sets A {\displaystyle A} and B , {\displaystyle B,} denoted by A ∩ B , {\displaystyle A\cap B,} is the set containing
Intersection_(set_theory)
Sets whose elements have degrees of membership
In mathematics, fuzzy sets are sets whose elements have degrees of membership. Fuzzy sets were introduced independently by Lotfi A. Zadeh in 1965 as an
Fuzzy_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
2005 film directed by Ridley Scott
Alcázar. Cinematographer John Mathieson created many large, sweeping landscapes, and a large set of ancient Jerusalem was constructed based on the production
Kingdom_of_Heaven_(film)
unbounded set Cofinal (mathematics) Cofinite Dense set IP set 2-large Large set (Ramsey theory) Meagre set Measure zero Natural density Negligible set Nowhere
List of exceptional set concepts
List_of_exceptional_set_concepts
2022 American film by David Frankel
and Marge Go Large", with Brad Copeland writing the screenplay. In June 2021, it was announced that Paramount+ had greenlit the film, set to be directed
Jerry_&_Marge_Go_Large
Central computer component that executes instructions
each instruction and value in a set of data, a vector processor can perform a single operation on a comparatively large set of data with one instruction
Central_processing_unit
Mathematical concept
meaning that for every infinite set, there exists a larger set. Cantor proclaimed that the collection of all sets had an unincreasable absolute infinity
Infinity
Algorithm that arranges lists in order
small sets. For larger sets, people often first bucket, such as by initial letter, and multiple bucketing allows practical sorting of very large sets. Often
Sorting_algorithm
Infinite set that is not countable
number: a set is uncountable if its cardinal number is larger than aleph-null, the cardinality of the natural numbers. Examples of uncountable sets include
Uncountable_set
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
Supercomputer manufactured by Cray Research
arranging memory and registers to quickly perform a single operation on a large set of data. Previous systems like the CDC STAR-100 and ASC had implemented
Cray-1
Coordination of multiple robots as a system
swarm behavior occurs. Relatively simple individual rules can produce a large set of complex swarm behaviors. A key component is the communication between
Swarm_robotics
Branch of probability theory
In probability theory, the theory of large deviations concerns the asymptotic behaviour of remote tails of sequences of probability distributions. While
Large_deviations_theory
Family of subsets representing "large" sets
from various "largeness" conditions: If X {\displaystyle X} is a set, the set of all cofinite subsets of X {\displaystyle X} (i.e., those sets whose complement
Filter_on_a_set
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
Set of distances defined from a set of points
based on the principle that a large collection of points must have a large distance set (for varying definitions of "large"): Falconer's conjecture is the
Distance_set
Element of interest in an algebraic structure
the creation of a larger collection of objects, called the generated set. The larger set is then said to be generated by the smaller set. It is commonly
Generator_(mathematics)
Unrelated vertices in graphs
fact, sufficiently large graphs with no large cliques have large independent sets, a theme that is explored in Ramsey theory. A set is independent if and
Independent set (graph theory)
Independent_set_(graph_theory)
Size of a set in mathematics
Uncountable sets are those strictly larger than the set of natural numbers. The set of all real numbers and the powerset of the set of natural numbers are proven
Cardinality
Notion in philosophy of mathematics
set theory or Morse–Kelley set theory. This axiom says that any class that is not "too large" is a set, and a set cannot be "too large". "Too large"
Limitation_of_size
Set whose elements all belong to another set
The set of rational numbers is a proper subset of the set of real numbers. In this example, both sets are infinite, but the latter set has a larger cardinality
Subset
Topics referred to by the same term
Small set, an element of a Grothendieck universe Ideal on a set Natural density Large set (disambiguation) This disambiguation page lists mathematics
Small_set
Relational database programming language
Since then, the standard has been revised multiple times to include a larger set of features and incorporate common extensions. Despite the existence of
SQL
Collection of teaware and utensils
arms or trade sign). Large orders for teasets started to appear in 1770s, frequently named "breakfast sets", that included: a large or small teapot; a sugar
Tea_set
Phase of producing a film or television show in which the bulk of shooting takes place
director, telling the actors "action!". The AD may echo "action" louder on large sets. A take is over when the director calls "Cut!" and the camera and sound
Principal_photography
Stringed musical instrument
The setor (Tajik: сетор) is a stringed musical instrument played in the eastern regions of Tajikistan, within the Pamiri culture. It is a much larger instrument
Setor
Classical quantization technique from signal processing
it was originally used for data compression. It works by dividing a large set of points (vectors) into groups having approximately the same number of
Vector_quantization
Set theory concept
In mathematics, specifically in set theory, a measurable cardinal is a certain kind of large cardinal number. In order to define the concept, one introduces
Measurable_cardinal
Topics referred to by the same term
constraining an input from a continuous or otherwise large set of values (such as the real numbers) to a discrete set (such as the integers). The term quantization
Quantization
Breed of cat
flat skull. The eyes are large, set wide, and oval-shaped. Devon Rexes may have any eye colour. The ears are large and set wide apart with rounded tips
Devon_Rex
Non-empty family of sets that is closed under finite unions and subsets
(mathematics) – Special subset of a partially ordered set Filter on a set – Family of subsets representing "large" sets Ideal (order theory) – Nonempty, upper-bounded
Ideal_on_a_set
Finite collection of distinct objects
from a larger finite set to a smaller finite set. The natural numbers are defined abstractly by the Peano axioms, and can be constructed set-theoretically
Finite_set
Set of elements in any of some sets
In set theory, the union (denoted by ∪) of a collection of sets is the set of all elements in the collection. It is one of the fundamental operations
Union_(set_theory)
Breed of cat
modern Oriental and Siamese body-types, that is to say a long muzzle, large set-apart ears, flat cheekbones, and an elegant body on long legs. Therefore
Peterbald
Topics referred to by the same term
are a percussion instrument, sets of bells in varying pitches. These include: Chime (bell instrument), an array of large bells, typically housed in a
Chime
Data analysis technique
of simple correspondence analysis (CA) in that it is applicable to a large set of categorical variables. MCA is performed by applying the CA algorithm
Multiple correspondence analysis
Multiple_correspondence_analysis
Russian nested wooden toy created in 1890
side-by-side, the dolls span 3.41 metres (11 ft 2.25 in). However, several larger sets are known. In 1906, at the 1906 Milan International exposition, a matryoshka
Matryoshka_doll
1994 mathematics book
Infinite: Large Cardinals in Set Theory from their Beginnings is a monograph in set theory by Akihiro Kanamori, concerning the history and theory of large cardinals
The_Higher_Infinite
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
2010 book by Jennifer Egan
Pulitzer Prize for Fiction in 2011. The book is a set of thirteen interrelated stories with a large set of characters all connected to Bennie Salazar, a
A_Visit_from_the_Goon_Squad
Type of set in mathematical logic
theory and nonstandard analysis, an internal set is a set that is a member of a model. The concept of internal sets is a tool in formulating the transfer principle
Internal_set
1980 film by Martin Davidson
Hero at Large is a 1980 American superhero comedy film starring John Ritter and Anne Archer. The film was written by AJ Carothers and directed by Martin
Hero_at_Large
Type of subset of the natural numbers
Vitaly; Hindman, Neil (2001). "Partition regular structures contained in large sets are abundant". Journal of Combinatorial Theory. Series A. 93 (1): 18–36
Syndetic_set
Diagram that shows all possible logical relations between a collection of sets
between sets, popularized by John Venn (1834–1923) in the 1880s. The diagrams are used to teach elementary set theory, and to illustrate simple set relationships
Venn_diagram
Bound on the number of incidences between points and lines in the plane
least one of the set of points or lines is `large' in terms of the characteristic of the field; (ii) both the set of points and the set of lines are `small'
Szemerédi–Trotter_theorem
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
1990 film by Alan Rudolph
at Large is a 1990 American romance and mystery crime film directed by Alan Rudolph and starring Tom Berenger, Elizabeth Perkins and Anne Archer. Set in
Love_at_Large
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
Five coplanar points have a subset forming a convex quadrilateral
existence of convex k-gons in sufficiently large planar point sets, by projecting the higher-dimensional point set into an arbitrary two-dimensional subspace
Happy_ending_problem
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
Bodybuilding and weight training technique
drop set method is one in which a large percentage (usually 30% or more) of the starting weight is shed with each weight reduction. A tight drop set would
Drop_set
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
Scales used to weigh rail or road vehicles and their contents
A truck scale (US), weighbridge (non-US) or railroad scale is a large set of scales, usually mounted permanently on a concrete foundation, that is used
Truck_scale
Approach to quantum gravity using discrete spacetime
spacetimes are 'similar on large scales'. Modelling spacetime as a causal set would require us to restrict attention to those causal sets that are 'manifold-like'
Causal_sets
Natural basic set in product spaces
partition function of statistical mechanics. Filter on a set – Family of subsets representing "large" sets Filters in topology – Use of filters to describe and
Cylinder_set
Mathematics independent of applications
aspects of the experimental process) and automatically find patterns across large sets of data with artificial intelligence to derive mathematical conjectures
Pure_mathematics
Selection of items from a set
the larger set after the previous ones. Repeating this process, the enumeration can be extended indefinitely with k-combinations of ever larger sets. If
Combination
Subgroup in a gang alliance
gang terminology, a set refers to a subgroup within a larger gang alliance. Sets vary in size and internal structure, and different sets within the same gang
Set_(gang)
Data structure that maps one or more adjacent bits
(zero) flag was set by some previous operation. A bit field is distinguished from a bit array in that the latter is used to store a large set of bits indexed
Bit_field
Concept in mathematical logic
In set theory, a hereditary set (or pure set) is a set whose elements are all hereditary sets. That is, all elements of the set are themselves sets, as
Hereditary_set
packs). The mini-set only contains a total of 18 cards. When arranged correctly, every illustration used in this set forms a single larger image. Neo Revelation
List of Pokémon Trading Card Game sets
List_of_Pokémon_Trading_Card_Game_sets
LARGE SET
LARGE SET
Boy/Male
Dutch
Large.
Surname or Lastname
English (mainly Norfolk)
English (mainly Norfolk) : variant of Lark 1.
Surname or Lastname
English and French
English and French : metonymic occupational name for a boatman, from Middle English, Old French barge ‘boat’, ‘barge’.Dutch : variant of Berg.
Boy/Male
American, Australian, British, Celtic, Christian, English, French, German, Irish, Jamaican, Welsh
Prudent; Large Homestead; Large Settlement
Boy/Male
Australian, Welsh
Large Homestead; Large Settlement
Boy/Male
French
The red-haired one.
Girl/Female
Hindu, Indian
Large Settlement
Boy/Male
Dutch Anglo Saxon
Tall.
Girl/Female
Tamil
Large settlement
Girl/Female
English
Lark.
Girl/Female
British, English
Intelligent
Boy/Male
American, Australian, Chinese, Irish, Welsh
Large Homestead; Great Settlement; Large Village
Girl/Female
Persian American
Child of light. Famous Bearer: Margaret Thatcher, former Prime Minister of the United Kingdom.
Female
English
Short form of English Margaret, MARGE means "pearl."
Girl/Female
American, Australian
Combination of Latonia and Ray
Girl/Female
Hindu
Large settlement
Girl/Female
Swedish
From the sea.
Surname or Lastname
English and French
English and French : nickname (literal or ironic) meaning ‘generous’, from Middle English, Old French large ‘generous’, ‘free’ (Latin largus ‘abundant’). The English word came to acquire its modern sense only gradually during the Middle Ages; it is used to mean ‘ample in quantity’ in the 13th century, and the sense ‘broad’ first occurs in the 14th. This use is probably too late for the surname to have originated as a nickname for a fat man.
Surname or Lastname
English
English : variant of Sark.German : unexplained.
Girl/Female
American, Australian, British, English
Skylark; Lark
LARGE SET
LARGE SET
Boy/Male
Indian, Sanskrit
Fire Clad; One who is as Glorious as Fire
Boy/Male
Muslim
Neat, Clean
Girl/Female
Gujarati, Hindu, Indian, Sanskrit
Lord of Universe
Girl/Female
Hindu, Indian, Traditional
Cloud Flower; The Rain Water
Boy/Male
Indian, Telugu
Destiny
Boy/Male
Tamil
Darkness
Boy/Male
Hindu
Wiz kid
Girl/Female
Arabic, Muslim
Pearl
Boy/Male
Arabic, Muslim
Description of a Lion
Boy/Male
Indian
Happy Person; Happy Heart
LARGE SET
LARGE SET
LARGE SET
LARGE SET
LARGE SET
n.
A large omnibus used for excursions.
superl.
Free; unembarrassed.
n.
A movement or piece in largo time.
superl.
Exceeding most other things of like kind in bulk, capacity, quantity, superficial dimensions, or number of constituent units; big; great; capacious; extensive; -- opposed to small; as, a large horse; a large house or room; a large lake or pool; a large jug or spoon; a large vineyard; a large army; a large city.
n.
A shield or target.
a.
Made large or larger; extended; swollen.
n.
A large, roomy boat for the conveyance of passengers or goods; as, a ship's barge; a charcoal barge.
superl.
Prodigal in expending; lavish.
n.
Border; margin; edge; verge.
superl.
Unrestrained by decorum; -- said of language.
n.
A larva.
superl.
Having more than usual power or capacity; having broad sympathies and generous impulses; comprehensive; -- said of the mind and heart.
n.
A large boat used by flag officers.
a.
Having a large or generous heart or disposition; noble; liberal.
n.
A musical note, formerly in use, equal to two longs, four breves, or eight semibreves.
superl.
Crossing the line of a ship's course in a favorable direction; -- said of the wind when it is abeam, or between the beam and the quarter.
a.
Having large hands, Fig.: Taking, or giving, in large quantities; rapacious or bountiful.
adv.
Freely; licentiously.
superl.
Abundant; ample; as, a large supply of provisions.
superl.
Full in statement; diffuse; full; profuse.