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Definition by exhaustively listing all of the objects a term applies to
question. Enumerative definitions are only possible for finite sets and only practical for relatively small sets. An example of an enumerative definition for
Enumerative_definition
Statement that attaches a meaning to a term
ostensive definition itself was critically appraised by Ludwig Wittgenstein. An enumerative definition of a concept or a term is an extensional definition that
Definition
Ordered listing of items in collection
(perhaps arbitrary) ordering. In some contexts, such as enumerative combinatorics, the term enumeration is used more in the sense of counting – with emphasis
Enumeration
itself would constitute a type of definition known as an Extensional definition (specifically, an enumerative definition) does exist, though it does not
List of primary urban areas in England by population (2001 data)
List_of_primary_urban_areas_in_England_by_population_(2001_data)
Definition by example
the free dictionary. Comprehension Enumerative definition Exemplification Extensional and intensional definitions Intension Ostension Wittgenstein, Ludwig
Ostensive_definition
Classification of definitions in mathematics, philosophy, and logic
enumerative definition. Extensional definitions are used when listing examples would give more applicable information than other types of definition,
Extensional and intensional definitions
Extensional_and_intensional_definitions
Mathematical logic concept
theory, the definition corresponding to domains has been found to be more natural. Other texts use the definition in terms of enumerations, which is equivalent
Computably_enumerable_set
Named set of data type values
the enum definition. C++ has enumeration types that are directly inherited from C's and work mostly like these, except that an enumeration is a real
Enumerated_type
Formula for number of orbits of a group action
The Pólya enumeration theorem, also known as the Redfield–Pólya theorem and Pólya counting, is a theorem in combinatorics that both follows from and ultimately
Pólya_enumeration_theorem
Obsolete definitions of racial groups
Press, 2011. Wikimedia Commons has media related to Historical definitions of race. Definition of "race" in the 1913 Webster's Revised Unabridged Dictionary
Historical_race_concepts
Method of logical reasoning
used to reach inductive generalizations are enumerative induction and eliminative induction. Enumerative induction is an inductive method in which a generalization
Inductive_reasoning
In the context of semantics the extension of a concept, idea, or sign
for example extension, and the extensional devices. Enumerative definition Extensional definition Extensional logic Generalization Sense and reference
Extension_(semantics)
Branch of discrete mathematics
concerns the enumeration of combinatorial structures using tools from complex analysis and probability theory. In contrast with enumerative combinatorics
Combinatorics
Organized listing of books and the systematic description of them as objects
list of books for further study or of works consulted by an author (or enumerative bibliography); the other one, applicable for collectors, is "the study
Bibliography
Programming language construct specifying an identifier's properties
classes, but can also be used for other entities such as enumerations and type definitions. Beyond the name (the identifier itself) and the kind of entity
Declaration (computer programming)
Declaration_(computer_programming)
Type of geographical region in the United States
separate entities such as states. As a result, sometimes the precise definition of a given metropolitan area will vary between sources. The statistical
Metropolitan_statistical_area
Generalization of permutations
Parking functions are a generalization of permutations studied in combinatorics, a branch of mathematics. A parking function of length n {\displaystyle
Parking_function
topological recursion is a recursive definition of invariants of spectral curves. It has applications in enumerative geometry, random matrix theory, mathematical
Topological_recursion
Set of markup declarations for SGML-family markup language
A document type definition (DTD) is a specification file that contains a set of markup declarations that define a document type for an SGML-family markup
Document_type_definition
United States law preventing export of military technologies
as such work can be construed to fall under one of the several enumerated definitions of "export," such as: "Disclosing (including oral or visual disclosure)
International Traffic in Arms Regulations
International_Traffic_in_Arms_Regulations
Formal language
recursively enumerable. The class of all recursively enumerable languages is called RE. There are three equivalent definitions of a recursively enumerable language:
Recursively enumerable language
Recursively_enumerable_language
Mathematical function that can be computed by a program
argument. Because of the lack of a precise definition of the concept of algorithm, every formal definition of computability must refer to a specific model
Computable_function
Partially ordered set in Mathematics
n as one in which all maximal chains have length n. Richard Stanley, Enumerative Combinatorics, vol.1 p.99, Cambridge Studies in Advanced Mathematics
Ranked_poset
1).} Stanley, Enumerative combinatorics, volume 2, p. 398. Stanley, Enumerative combinatorics, volume 2, p. 315. Stanley, Enumerative combinatorics,
Kostka_number
Concept in linguistics
Keith; Scholz, Barbara C. (2001). "On the distinction between generative-enumerative and model-theoretic syntactic frameworks" (PDF). In de Groote, Philippe;
Model-theoretic_grammar
Branch of algebraic geometry
counting problems of projective geometry and, as such, is viewed as part of enumerative geometry. Giving it a more rigorous foundation was the aim of Hilbert's
Schubert_calculus
Statistical region of the United States
effect at the time of the 2020 Census. "Revised Definitions of Metropolitan Statistical Areas, New Definitions of Micropolitan Statistical Areas and Combined
Combined_statistical_area
Structured naming scheme
:<target_sw>:<target_hw>:<other> The version of the CPE definition. The latest CPE definition version is 2.3. May have 1 of 3 values: a for Applications
Common_Platform_Enumeration
set and has been used as a model for spacetime. Stanley, Richard P. Enumerative Combinatorics, Volume I. Cambridge University Press, 1997. Pages 98,
Locally_finite_poset
In physics and geometry: conjectured relation between pairs of Calabi–Yau manifolds
mirror symmetry belong to the branch of mathematics called enumerative geometry. In enumerative geometry, one is interested in counting the number of solutions
Mirror symmetry (string theory)
Mirror_symmetry_(string_theory)
Mathematical function
and surface area of a hypersphere, and they have many applications in enumerative combinatorics. They occur in Student's t-distribution (1908), although
Double_factorial
Mathematical constant used in combinatorics
Lieb's square ice constant is a mathematical constant used in the field of combinatorics to approximately count Eulerian orientations of grid graphs. It
Lieb's_square_ice_constant
Concept in string theory
varieties can be defined entirely within algebraic geometry. The classical enumerative geometry of plane curves and of rational curves in homogeneous spaces
Gromov–Witten_invariant
Logical connective AND
Logical conjunction AND Definition x y {\displaystyle xy} Truth table ( 1000 ) {\displaystyle (1000)} Logic gate Normal forms Disjunctive x y {\displaystyle
Logical_conjunction
Binary sequence
location of the sequence in the list of all such sequences. This is called "enumerative source encoding". Conversely, if the sequence is compressible, then by
Algorithmically random sequence
Algorithmically_random_sequence
Legal and social structures that define and distinguish whites in the United States
North Africa". The Federal Bureau of Investigation uses the same definition. The definition actually does vary and is also published as "a light skinned race"
Definitions of whiteness in the United States
Definitions_of_whiteness_in_the_United_States
Philosophical traditions of Hinduism and the Vedas
school uses a three-fold procedure: enumeration, definition, and examination. This procedure of enumeration, definition, and examination is recurrent in
Hindu_philosophy
{O}}r\rightarrow p<_{\mathcal {O}}r} This definition has the advantages that one can computably enumerate the predecessors of a given ordinal (though
Kleene's_O
Real number that can be computed within arbitrary precision
and produces as output a Turing machine which enumerates the digits of a in the sense of Turing's definition. Similarly, it means that the arithmetic operations
Computable_number
Mathematical object
complex, and a face Y is said to belong to another face X if Y ⊆ X, so the definition of an abstract simplicial complex can be restated as saying that every
Abstract_simplicial_complex
C/C++ programming idiom
relatively unknown. An X macro application consists of two parts: The definition of the list's elements. Expansion(s) of the list to generate fragments
X_macro
Set of all things that may be the input of a mathematical function
of f is X. In modern mathematical language, the domain is part of the definition of a function rather than a property of it. In the special case that X
Domain_of_a_function
Application of homotopy to algebraic varieties
motivic homotopy theory to enumerative geometry problems in a very general way, producing quadratic forms from enumerative geometry problems which can
A¹_homotopy_theory
Attribute of data
a matter of good organization that aids the understanding of complex definitions. Almost all programming languages explicitly include the notion of data
Data_type
Computation model defining an abstract machine
calculability", and in 1928 no such definition existed. But over the next 6–7 years Emil Post developed his definition of a worker moving from room to room
Turing_machine
In the mathematical study of combinatorics on words, a parameter word is a string over a given alphabet having some number of wildcard characters. The
Parameter_word
In logic, defining a new symbol
first-order theories, an extension by definition formalizes the introduction of a new symbol by means of a definition. For example, it is common in naive
Extension_by_definition
Generalization of "n-th" to infinite cases
for giving a meaning to "the least unused element"). This more general definition allows us to define an ordinal number ω {\displaystyle \omega } (omega)
Ordinal_number
Complexity class used to classify decision problems
Turing machine. The first definition is the basis for the abbreviation NP; "nondeterministic, polynomial time". These two definitions are equivalent because
NP_(complexity)
Integer partition attribute, in number theory
Paper 32. doi:10.37236/1370. MR 1631751. Stanley, Richard P. (1999) Enumerative Combinatorics, Volume 2, p. 289. Cambridge University Press. ISBN 0-521-56069-1
Durfee_square
Definition of default methods in classes that implement the interface is optional: If the class does not define the method, the default definition is
Comparison of C Sharp and Java
Comparison_of_C_Sharp_and_Java
Geometric graph with unit edge lengths
between them is exactly one. To distinguish these graphs from a broader definition that allows some non-adjacent pairs of vertices to be at distance one
Unit_distance_graph
On solvability of Diophantine equations
= 0 {\displaystyle p(a,y_{1},\ldots ,y_{n})=0} provides a Diophantine definition of S {\displaystyle S} , then it suffices to set q ( x 0 , x 1 , … , x
Hilbert's_tenth_problem
Semantic representation of data
as a data element name A clear data element definition One or more representation terms Optional enumerated values Code (metadata) A list of synonyms to
Data_element
Set of vices in Christian theology
restlessness, violence and hardnesses of heart against compassion." This definition would evolve into the modern interpretation: outside Christian writings
Seven_deadly_sins
Ranking of U.S. cities
Retrieved February 13, 2021. United States at Wikipedia's sister projects Definitions from Wiktionary Media from Commons Quotations from Wikiquote Texts from
List of United States cities by population
List_of_United_States_cities_by_population
Study of computable functions and Turing degrees
is not completely standardized. The definition in terms of μ-recursive functions as well as a different definition of rekursiv functions by Gödel led to
Computability_theory
B is not a superset of A. This gives an easy definition within the lattice of the computably enumerable sets. Maximal sets have many interesting properties:
Maximal set (computability theory)
Maximal_set_(computability_theory)
Mayor of New York City
2026. Tress, Luke (January 2, 2026). "Mamdani revokes IHRA antisemitism definition on day 1, amid broad rejection of Adams orders". The Times of Israel.
Zohran_Mamdani
Incidents involving multiple victims of firearm violence
victims of firearm related violence. Definitions vary, with no single, broadly accepted definition. One definition is an act of public firearm violence—excluding
Mass shootings in the United States
Mass_shootings_in_the_United_States
Subpermutation of a longer permutation
permutation pattern poset which is more efficient than the naïve recursive definition. The first such result was established by Sagan & Vatter (2006), who gave
Permutation_pattern
Buddhist scriptures of the Theravada tradition
in the Abhidhamma Pitaka: Dhammasangani (-saṅgaṇi or -saṅgaṇī) Enumeration, definition and classification of dhammas Vibhanga (vibhaṅga) Analysis of 18
Pali_Canon
Audio compression format
Low Latency High-Definition Audio Codec (LHDC) is an audio codec technology developed by Savitech. LHDC allows high-resolution audio streaming over Bluetooth
LHDC_(codec)
Set with algorithmic membership test
Computably enumerable Decidability (logic) Recursively enumerable language Recursive language Recursion That is, under the Set-theoretic definition of natural
Computable_set
Counts the number of necklaces of n colored beads picked from α available colors
In combinatorial mathematics, the necklace polynomial, or Moreau's necklace-counting function, introduced by C. Moreau (1872), counts the number of distinct
Necklace_polynomial
is an automobile designed for performance driving; however the exact definition is subject to debate. Most automakers have produced, or are currently
List of exclusively sports car manufacturers
List_of_exclusively_sports_car_manufacturers
Compilation of information about a given population
aspect of census enumerations is determining which individuals can be counted and which cannot be counted. Broadly, three definitions can be used: de facto
Census
Graph formed by complementation and disjoint union
In graph theory, a cograph, or complement-reducible graph, or P4-free graph, is a graph that can be generated from the single-vertex graph K1 by complementation
Cograph
Result in enumerative combinatorics and linear algebra
In mathematics, MacMahon's master theorem (MMT) is a result in enumerative combinatorics and linear algebra. It was discovered by Percy MacMahon and proved
MacMahon's_master_theorem
Polynomial in combinatorial mathematics
permutation group, one can enumerate equivalence classes due to the group's action. This is the main ingredient in the Pólya enumeration theorem. Performing
Cycle_index
Functions of an angle
Bartle & Sherbert 1999, p. 247. Whitaker and Watson, p 584 Stanley, Enumerative Combinatorics, Vol I., p. 149 Abramowitz; Weisstein. C. D. Olds, Continued
Trigonometric_functions
Intentional destruction of a people
international treaty, but the Genocide Convention restricted his initially broad definition to five specific acts "committed with intent to destroy, in whole or in
Genocide
permutation can be realized in this way. The separable permutations are enumerated by the Schröder numbers. That is, there is one separable permutation of
Separable_permutation
Proof in set theory
is in T, then by definition of T, s is not in f(s), so T is not equal to f(s). On the other hand, if s is not in T, then by definition of T, s is in f(s)
Cantor's_diagonal_argument
outlined by Florian Znaniecki in 1934. He contrasted it with the kind of enumerative induction characteristic of statistical analysis. Where the latter was
Analytic_induction
Purposely unassigned Unicode code points
Unicode, a Private Use Area (PUA) is a range of code points that, by definition, will not be assigned characters by the standard. Three Private Use Areas
Private_Use_Areas
Process of repeating items in a self-similar way
Recursion occurs when the definition of a concept or process depends on a simpler or previous version of itself. Recursion is used in a variety of disciplines
Recursion
Auto-configuration mechanism used by PCI
project to collect all known IDs Description of IO Port usage for PCI configuration Linux kernel header file with configuration space register definitions
PCI_configuration_space
Type of energy transfer
volume, or magnetisation and magnetic field strength. The thermodynamic definition of heat is by exclusion of other defined modes of transfer in order to
Heat
Study of discrete mathematical structures
studies the ways in which discrete structures can be combined or arranged. Enumerative combinatorics concentrates on counting the number of certain combinatorial
Discrete_mathematics
Method of systematically organizing knowledge
types of classification used for information organization: enumerative and faceted. An enumerative classification contains a full set of entries for all concepts
Faceted_classification
Function computable with bounded loops
argument (i.e., unary functions) can be computably enumerated. This enumeration uses the definitions of the primitive recursive functions (which are essentially
Primitive_recursive_function
Function that preserves distinctness
monomorphism. However, in the more general context of category theory, the definition of a monomorphism differs from that of an injective homomorphism. This
Injective_function
Theory of truth in the philosophy of language
truth-conditional semantics.) Tarski developed the theory to give an inductive definition of truth as follows. (See T-schema) For a language L containing ¬ ("not")
Semantic_theory_of_truth
Unit of digital information, usually 8 bits
architectures. To disambiguate arbitrarily sized bytes from the common 8-bit definition, network protocol documents such as the Internet Protocol (RFC 791) refer
Byte
Concept in model theory
approximates the idea of representing M inside N. For example, every reduct or definitional expansion of a structure N has an interpretation in N. Many model-theoretic
Interpretation_(model_theory)
Mathematical technique
ISBN 978-3-540-04927-2. Bender, Edward A.; Goldman, Jay R. (1971). "Enumerative uses of generating functions". Indiana University Mathematics Journal
Symbolic method (combinatorics)
Symbolic_method_(combinatorics)
Finite or infinite ordered list of elements
straightforward way are often defined using recursion. This is in contrast to the definition of sequences of elements as functions of their positions. To define a
Sequence
Concept of a Malay race
confusion of his racial category with the Melayu people. Blumenbach's definition of the Malay race is largely identical to the modern distribution of the
Malay_race
Number used for counting
numbers has two common definitions: either 0, 1, 2, ... or 1, 2, 3, .... Because there is no universal convention, the definition can be chosen to suit
Natural_number
Non-contradiction of a theory
there exists a deductive system for which these semantic and syntactic definitions are equivalent for any theory formulated in a particular deductive logic
Consistency
Problem in computer science
A key part of the formal statement of the problem is a mathematical definition of a computer and program, usually via a Turing machine. The proof then
Halting_problem
Limited form of tree data structure
names: authors list (link) "full binary tree". NIST. Richard Stanley, Enumerative Combinatorics, volume 2, p.36 "perfect binary tree". NIST. "complete
Binary_tree
Limitative results in mathematical logic
set of theorems is recursively enumerable. This means that there is a computer program that, in principle, could enumerate all the theorems of the system
Gödel's incompleteness theorems
Gödel's_incompleteness_theorems
Theory in physics
theory on this stack yields numerical invariants that can often contain enumerative information. In similar spirit, the approach of Donaldson–Thomas theory
Donaldson–Thomas_theory
Term in logic and deductive reasoning
the former is a restricted form of the latter. Strong soundness is the definition given earlier in this section and weak soundness restricts this to sentences
Soundness
Geometry definition file format
OBJ (or .OBJ) is a geometry definition file format first developed by Wavefront Technologies for The Advanced Visualizer animation package. It is an open
Wavefront_.obj_file
Pair of mathematical objects
of an ordered pair can be other ordered pairs, enabling the recursive definition of ordered n-tuples (ordered lists of n objects). For example, the ordered
Ordered_pair
Recursive integer sequence
Krattenthaler, Christian (2015). "Lattice Path Enumeration" (PDF). In Bóna, Miklós (ed.). Handbook of Enumerative Combinatorics. Discrete Mathematics and Its
Catalan_number
Although this could be made precise, the definition given below is more common since it is formally simpler. Enumeration reducibility is a form of positive
Enumeration_reducibility
ENUMERATIVE DEFINITION
ENUMERATIVE DEFINITION
Girl/Female
Indian
Definition
Biblical
savior; deliverer, The Greek form of the name Joshua or Jeshua, a contraction of Jehoshua, that is, help of Jehovah or saviour. Latin: Jesus, Iesus, Iesu, Josue. Greek: Ieous from Hebrew Yeshua. Also means safety, victory and who's help is Jehovah or it may be from the verb "Yasha", "to save," and = Jehovah Savior, or simply Savior; a late form of Hebrew "yehosua", the Jesus means of which is "YHWH is salvation" or "YHWH saves/has saved." Online definition of "savior." Latin term drove out Old English "hæland" which means "healer" as the preferred descriptive term for Jesus.
Girl/Female
Biblical
Image, figure, enumeration.
Biblical
image; figure; enumeration
Girl/Female
Hindu, Indian
Number; Definition
ENUMERATIVE DEFINITION
ENUMERATIVE DEFINITION
Boy/Male
Hindu, Indian, Tamil
Little King
Boy/Male
Tamil
Father of Lord Rama
Boy/Male
Indian
Not defeated by anyone
Boy/Male
Hindu
The universal soul
Girl/Female
Tamil
Joyful, Happy, One who gives happiness
Girl/Female
Arabic, Gujarati, Hindu, Indian, Muslim
Fragrance; Jasmine
Surname or Lastname
English
English : metonymic occupational name for a maker or user of bellows. See Bellow.John Bellows emigrated from England to MA on the Hopewell in 1635. Benjamin Bellows was one of the founders of Walpole, VT, in the mid 18th century.
Boy/Male
Hindu
Lord Murugan
Boy/Male
Tamil
Good human being
Boy/Male
American, Anglo, Australian, British, English
From the Deer Pasture; Stag Meadow
ENUMERATIVE DEFINITION
ENUMERATIVE DEFINITION
ENUMERATIVE DEFINITION
ENUMERATIVE DEFINITION
ENUMERATIVE DEFINITION
v. t.
To count; to tell by numbers; to count over, or tell off one after another; to number; to reckon up; to mention one by one; to name over; to make a special and separate account of; to recount; as, to enumerate the stars in a constellation.
n.
A recapitulation, in the peroration, of the heads of an argument.
v. i.
To make an enumeration or computation; to engage in numbering or computing.
a.
Too numerous or variable to make a particular enumeration important; -- said of the parts of a flower, and the like. Also, indeterminate.
v. t.
To count; to enumerate; to number; also, to compute; to calculate.
p. pr. & vb. n.
of Enumerate
v. t.
To keep account of; to enumerate and register; as, to mark the points in a game of billiards or cards.
imp. & p. p.
of Enumerate
a.
Of or pertaining to numeration; as, a numerative system.
n.
The act of enumerating, making separate mention, or recounting.
a.
Counting, or reckoning up, one by one.
n.
To count; to reckon; to ascertain the units of; to enumerate.
n.
Enumeration; computation.
n.
Enumeration; mention; as, a citation of facts.
v. i.
To sum up, or enumerate by heads or topics, what has been previously said; to repeat briefly the substance.
n.
A reckoning; computation; calculation; enumeration; a record of some reckoning; as, the Julian account of time.
n.
Enumeration.
n.
A detailed account, in which each thing is specially noticed.
n.
Enumeration of parts or particulars.
n.
The act of reviewing or revising; review; examination; enumeration.