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Finite ordered list of elements
An n-tuple is a tuple of n elements, where n is a non-negative integer. There is only one 0-tuple, called the empty tuple. A 1-tuple and a 2-tuple are
Tuple
Concept in computing
A tuple space is an implementation of the associative memory paradigm for parallel/distributed computing. It provides a repository of tuples that can be
Tuple_space
Repeatable pattern of differences between prime numbers
theory, a prime k-tuple is a finite collection of values representing a repeatable pattern of differences between prime numbers. For a k-tuple (a, b, …), the
Prime_k-tuple
Digital database whose organization is based on the relational model of data
operators. New tuples can supply explicit values or be derived from a query. Similarly, queries identify tuples for updating or deleting. Tuples by definition
Relational_database
Relational model
Tuple calculus is a calculus that was created and introduced by Edgar F. Codd as part of the relational model, in order to provide a declarative database-query
Tuple_relational_calculus
Mathematical set formed from two given sets
represented by an n-dimensional array, where each element is an n-tuple. An ordered pair is a 2-tuple or couple. More generally still, one can define the Cartesian
Cartesian_product
Result of multiplying types in type theory
The expression of an instance of a product type will be a tuple, and is called a "tuple type" of expression. A product of types is a direct product
Product_type
Record in a relational database table
In a relational database, a row or "record" or "tuple", represents a single, implicitly structured data item in a table. A database table can be thought
Row_(database)
Principal protocol used to stream data across an IP network
sees any evidence of an attack. A TCP connection is identified by a four-tuple of the source address, source port, destination address, and destination
Transmission_Control_Protocol
General-purpose programming language
in Python). Tuples, written as (1, 2, 3), are immutable and thus can be used as the keys of dictionaries, provided that all of the tuple's elements are
Python_(programming_language)
Normal form used in database normalization
Essential tuple normal form (ETNF) is a normal form used in database normalization. It lies strictly between fourth normal form (4NF) and fifth normal
Essential_tuple_normal_form
Set of tuples consisting of values indexed by attributes
database theory, a relation, as originally defined by E. F. Codd, is a set of tuples (d1,d2,...,dn), where each element dj is a member of Dj, a data domain.
Relation_(database)
Database model
computer scientist Edgar F. Codd, where all data are represented in terms of tuples, grouped into relations. A database organized in terms of the relational
Relational_model
Mechanism in a some relational databases to store past states of a relation
Tuple-versioning (also called point-in-time) is a mechanism used in a relational database management system to store past states of a relation. Normally
Tuple-versioning
Programming language and superset of JavaScript
bringing many language additions like tuples in rest parameters and spread expressions, rest parameters with tuple types, generic rest parameters and so
TypeScript
Smooth approximation of one-hot arg max
also known as softargmax or normalized exponential function, converts a tuple of K real numbers into a probability distribution over K possible outcomes
Softmax_function
Coordinates comprising a distance and two angles
Once the radius is fixed, the three coordinates (r, θ, φ), known as a 3-tuple, provide a coordinate system on a sphere, typically called the spherical
Spherical_coordinate_system
Mathematical concept and applications in software development
mathematics, a circular shift is the operation of rearranging the entries in a tuple, either by moving the final entry to the first position, while shifting
Circular_shift
Integer side lengths of a right triangle
is a Pythagorean n-tuple for any tuple of positive integers (m1, ..., mn) with m2 1 > m2 2 + ... + m2 n. The Pythagorean n-tuple can be made primitive
Pythagorean_triple
Broad concept generalizing scalars in mathematics and physics
together and multiplied ("scaled") by scalars. In some contexts, vectors are tuples, which are finite sequences (of numbers or other objects) of a fixed length
Vector (mathematics and physics)
Vector_(mathematics_and_physics)
In relational database theory, a tuple-generating dependency (TGD) is a certain kind of constraint on a relational database. It is a subclass of the class
Tuple-generating_dependency
This is an incomplete list of football clubs that have won four or more trophies in a single season. In a football season, clubs typically compete in many
List of association football teams to have won four or more trophies in one season
List_of_association_football_teams_to_have_won_four_or_more_trophies_in_one_season
Toolkit for manipulation of images
and tuple type: The depth attribute defines the number of channels in the image, such as 1 for greyscale images and 3 for RGB images. The tuple type
Netpbm
Prime differing from another prime by two
above. The fully general first Hardy–Littlewood conjecture on prime k-tuples (not given here) implies that the second Hardy–Littlewood conjecture is
Twin_prime
Theory of relational databases
all tuples found in either relation (union), removing tuples from the first relation found in the second relation (difference), extending the tuples of
Relational_algebra
Set of tuples in mathematical logic that satisfy a predicate
truth-valued function – is the set of tuples of values that, used as arguments, satisfy the predicate. Such a set of tuples is a relation. For example, the
Extension_(predicate_logic)
Type of programming language
known as a tuple space because its basic addressable unit is a tuple, an ordered sequence of typed data objects; specifically in Linda, a tuple is a sequence
Linda_(coordination_language)
Programming technique
relational databases, such as SQL, group scalars into tuples, which are then enumerated in tables. Tuples and objects have some general similarity, in that
Object–relational_mapping
Algorithm
{\displaystyle R} tuples. Here groups are disjoint sets of tuples in R {\displaystyle R} and the union of all groups has the same tuples as R {\displaystyle
Block_nested_loop
Object-oriented programming language
a result, TUPLE [A, B, C] conforms to (may be assigned to) TUPLE [A, B], to TUPLE [A] and to TUPLE (without parameters), the topmost tuple type to which
Eiffel_(programming_language)
Relational database access language
QUEL is a relational database query language, based on tuple relational calculus, with some similarities to SQL. It was created as a part of the Ingres
QUEL_query_languages
Sequence of n-tuples of integers
sequence of n-tuples of integers, sometimes known as "the Diffy game", since it is based on differences (subtractions). Given an n-tuple of integers (
Ducci_sequence
systems where the various components interact with each other by exchanging tuples or entries via one or more shared spaces. This is contrasted with the more
Space-based_architecture
Type of data structure
least one array index or key, the collection of which may be a tuple, known as an index tuple. In general, an array is a mutable and linear collection of
Array_(data_structure)
Medical condition caused by chromosomal abnormality
Result of FISH analysis using LSI probe (TUPLE 1) from DiGeorge/velocardiofacial syndrome critical region. TUPLE 1 (HIRA) probe was labeled in Spectrum
DiGeorge_syndrome
Large number used in number theory
primes. An equivalent definition of Skewes's number exists for prime k-tuples (Tóth (2019)). Let P = ( p , p + i 1 , p + i 2 , . . . , p + i k ) {\displaystyle
Skewes's_number
Method for specifying point positions
interchangeable; they are commonly distinguished by their position in an ordered tuple, or by a label, such as in "the x-coordinate". The coordinates are taken
Coordinate_system
Variant form of the Catmull-Rom spine
list_of_lists for elem in lst] def catmull_rom_spline( P0: tuple, P1: tuple, P2: tuple, P3: tuple, num_points: int, alpha: float = 0.5, ): """ Compute the
Centripetal Catmull–Rom spline
Centripetal_Catmull–Rom_spline
2011 edition of the C++ programming language standard
exists std::make_tuple to automatically create std::tuples using type deduction and auto helps to declare such a tuple. std::tie creates tuples of lvalue references
C++11
Nucleotide composition
The Pseudo K-tuple nucleotide composition or PseKNC, is a method for converting a nucleotide sequence (DNA or RNA) into a numerical vector so as to be
Pseudo K-tuple nucleotide composition
Pseudo_K-tuple_nucleotide_composition
Set of attributes that uniquely identifies each tuple of a relation
of attributes that uniquely identifies each tuple of a relation. Because superkey values are unique, tuples with the same superkey value must also have
Superkey
Programming language
compound data types: Tuples Tuples are containers for a fixed number of Erlang data types. The syntax {D1,D2,...,Dn} denotes a tuple whose arguments are
Erlang_(programming_language)
Graphical aid for deriving some concepts in combinatorics
an equation. For any pair of positive integers n and k, the number of k-tuples of positive integers whose sum is n is equal to the number of (k − 1)-element
Stars and bars (combinatorics)
Stars_and_bars_(combinatorics)
OEIS: A253684 and OEIS: A253685 in OEIS) Barker sequence or Wieferich n-tuple is a generalization of Wieferich pair and Wieferich triple. It is primes
Wieferich_pair
similarly to what is dubbed RDBMS, Tuple Stores, also known as Triple Store or Quad Store but also Generic Tuple Store, Document database, that mimics
Ordered_key–value_store
List of probabilistic data structures for databases
existence of a tuple in the database, then the database could be in two different states with respect to that tuple—the first state contains the tuple, while
Probabilistic_database
Counts tuples of non-intersecting lattice paths
mathematics, the Lindström–Gessel–Viennot lemma provides a way to count the tuples of non-intersecting lattice paths, or, more generally, paths on a directed
Lindström–Gessel–Viennot lemma
Lindström–Gessel–Viennot_lemma
Enterprise architecture framework
– Object – also used in RDF. See Tuple. TRAK requires each tuple to be explicit. The Architecture Description Tuples are defined by the TRAK Metamodel
TRAK
Unanswered conjecture in number theory
conjecture on prime k-tuples, and the first violation is expected to likely occur for very large values of x. For example, an admissible k-tuple (or prime constellation)
Second Hardy–Littlewood conjecture
Second_Hardy–Littlewood_conjecture
Binary operation in relational algebra
relations. The result of the natural join is the set of all combinations of tuples in R and S that are equal on their common attribute names. For an example
Join_(relational_algebra)
Set of positive integers such that the product of any two plus one is a perfect square
In number theory, a diophantine m-tuple is a set of m positive integers { a 1 , a 2 , a 3 , a 4 , … , a m } {\displaystyle \{a_{1},a_{2},a_{3},a_{4},\ldots
Diophantine_quintuple
Finite, ordered collection of items
of a list is a computer representation of the mathematical concept of a tuple or finite sequence. A list may contain the same value more than once, and
List_(abstract_data_type)
Computation model defining an abstract machine
nine possible types of five-tuples: Any Turing table (list of instructions) can be constructed from the above nine 5-tuples. For technical reasons, the
Turing_machine
Database object that organizes data in packed columns
family is a database object that contains columns of related data. It is a tuple (pair) that consists of a key–value pair, where the key is mapped to a value
Column_family
Type that allows only one value
details of its value. One may also regard the unit type as the type of 0-tuples, i.e. the product of no types. The unit type is the terminal object in the
Unit_type
Algorithm used in relational databases
building hash tables from the tuples of one or both of the joined relations, and subsequently probing those tables so that only tuples with the same hash code
Hash_join
Chinese-born American mathematician
This result implies the existence of an infinitely repeatable prime 2-tuple, thus establishing a theorem akin to the twin prime conjecture. Zhang's
Yitang_Zhang
Mathematical operation
to S {\displaystyle S} the tuples of a given length of elements of S {\displaystyle S} . The length of the tuples is called the arity of the operation
Algebraic_operation
Full constraint between two sets of attributes in a relation
dependency requires that certain tuples be present in a relation. Therefore, a multivalued dependency is a special case of tuple-generating dependency. The
Multivalued_dependency
Templates in computer programming
arguments template <typename... Ts> class Tuple; The above template class Tuple (representing a product type or tuple) will take any number of typenames as
Variadic_template
2014 edition of the C++ programming language standard
integer. C++14 extends this to allow fetching from a tuple by type instead of by index. If the tuple has more than one element of the type, a compile-time
C++14
logic, an atomic model is a model such that the complete type of every tuple is axiomatized by a single formula. Such types are called principal types
Atomic model (mathematical logic)
Atomic_model_(mathematical_logic)
Relational database programming language
with or without an index. Originally based upon relational algebra and tuple relational calculus, SQL consists of many types of statements, which may
SQL
Punctuation mark
primarily for array indexing. But they are also used to denote general tuples, sets and other structures, just as in mathematics. There may be several
Bracket
conjunctive queries, see GYO algorithm). It first uses semijoins to prune tuples that cannot participate in any answer and then joins the reduced relations
Yannakakis_algorithm
Computing algorithm
nested_loop_join is for each tuple r in R do for each tuple s in S do if r and s satisfy the join condition then yield tuple <r,s> This algorithm will involve
Nested_loop_join
Database server and application server
storage the basic unit is a tuple. Tuples in tuple sets handle the same role as rows in tables for relational databases. Tuples have an arbitrary number
Tarantool
Pair of mathematical objects
always equals the unordered pair {b,a}. Ordered pairs are also called 2-tuples, or sequences (sometimes, lists in a computer science context) of length
Ordered_pair
Relation with zero attributes
cardinality zero; that is, contains no tuples at all. The other has cardinality 1 and contains only the unique 0-tuple.:56 The zero-degree relations represent
Nullary_relation
Mathematical set that can be enumerated
element of each set a tuple, then we assign each tuple an index using a variant of the triangular enumeration we saw above: Index Tuple Element 0 ( 0 , 0
Countable_set
Class of numerical methods in scientific computing
an initial tuple of particles p 1 ∈ P ∗ {\displaystyle \mathbf {p} ^{1}\in P^{*}} . In a specific particle method, the elements of the tuple ( P , G ,
Particle_method
Data structure or code used by a compiler
may take one of several forms: an in-memory data structure, or a special tuple- or stack-based code readable by the program. In the latter case it is also
Intermediate_representation
Theory of relational databases
The relational calculus consists of two calculi, the tuple relational calculus and the domain relational calculus, that is part of the relational model
Relational_calculus
Concept in database systems
a foreign key is subject to an inclusion dependency constraint that the tuples consisting of the foreign key attributes in one relation, R, must also exist
Foreign_key
Mathematical model describing colors as tuples of numbers
abstract mathematical model describing the way colors can be represented as tuples of numbers, typically as three or four values or color components. It differs
Color_model
Set of questions in relational database theory
side-effects: Find a minimal number of tuples to delete in the database in order to delete a particular tuple in the output. Deletion propagation with
Reverse_data_management
Combining data from multiple sources
{\displaystyle A<B} ". If a tuple or set of tuples is substituted into the rule and satisfies it (makes it true), then we consider that tuple as part of the set
Data_integration
corresponds to a tuple of Java files [c1...cn], and documentation df is a tuple of HTML files [h1...hk]. A GenVoca value (nested tuples) can be depicted
Feature-oriented_programming
Object detection system
{\displaystyle S^{2}} patches. The output of the network on each patch is a tuple as follows: ( p 1 , … , p C , c 1 , x 1 , y 1 , w 1 , h 1 , … , c B , x
You_Only_Look_Once
Property that assigns truth values to k-tuples of individuals
subset of the Cartesian product X1 × ... × Xn; that is, it is a set of n-tuples (x1, ..., xn), each being a sequence of elements xi in the corresponding
Finitary_relation
Way to specify the location of data on computer storage devices
cylinder-head-sector (CHS) scheme, where blocks were addressed by means of a tuple which defined the cylinder, head, and sector at which they appeared on the
Logical_block_addressing
Feature of programming languages
{ optional<tuple<int>> result = std::execution::sync_wait(test()); std::println("Result: {}", std::get<0>(result).value_or(std::make_tuple(-1))); return
Async/await
Set of rules defining correctly structured programs
append(5) Tuples (class tuple) are immutable sequences of items of arbitrary types. There is also a special syntax to create tuples my_tuple: tuple[int |
Python_syntax_and_semantics
Coordinate system that is defined by points instead of vectors
never zero. Two tuples of barycentric coordinates specify the same point if and only if they are proportional; that is to say, if one tuple can be obtained
Barycentric_coordinate_system
Pattern matching algorithm
WMEs where each WME contains a fixed-length tuple. In this case, tuples are typically triplets (3-tuples). Each WME enters the Rete network at a single
Rete_algorithm
Simplicial set constructed from the objects and morphisms of a small category
and Ai → Ai+1 into the morphism Ai−1 → Ai+1, yielding a (k − 1)-tuple for every k-tuple. Similarly, the degeneracy maps s i : N ( C ) k → N ( C ) k + 1
Nerve_(category_theory)
2023 edition of the C++ programming language standard
std::unreachable: a function to mark unreachable code made std::tuple compatible with other tuple-like objects std::basic_common_reference specialization for
C++23
Software-based endpoint of network communications
port number) is different; i.e., since they have different socket pair tuples. UDP sockets do not have an established state, because the protocol is connectionless
Network_socket
Authorization software system
lists (ACLs) expressed as relationship tuples under a relationship-based access control (ReBAC) model. Each tuple represents a subject, a relation, and
Google_Zanzibar
Abstract calculator
(Recursive Unsolvability of a Problem of Thue) atomized the Turing 5-tuples to 4-tuples: "Our quadruplets are quintuplets in the Turing development. That
Post–Turing_machine
Set of prime numbers {p, p+2, p+6, p+8}
are infinitely many prime sextuplets. A prime sextuplet is the largest k-tuple with spacing no greater than 4 between primes. The Skewes number for the
Prime_quadruplet
Mathematical notation
concept of an integer index to an ordered tuple of indices. An n-dimensional multi-index is an n {\textstyle n} -tuple α = ( α 1 , α 2 , … , α n ) {\displaystyle
Multi-index_notation
Croatian mathematician
Diophantine m-tuples. Dujella has shown that there exists no Diophantine 6-tuple and that there exist at most a finite number of Diophantine 5-tuples. He applied
Andrej_Dujella
Organized collection of data in computing
directly updated. Codd used mathematical terms to define the model: relations, tuples, and domains rather than tables, rows, and columns. The terminology that
Database
paradigm for software generation, where a model of a product line is a tuple of 0-ary and 1-ary functions (program transformations). This page discusses
FOSD_metamodels
Mathematical function that can be computed by a program
{N} } is computable if there is an effective procedure that, given any k-tuple x {\displaystyle \mathbf {x} } of natural numbers, will produce the value
Computable_function
which are finite bags of tuples (rows). StreamSQL adds the ability to manipulate streams, which are infinite sequences of tuples that are not all available
StreamSQL
Set of conceptual and technical difficulties
where objects reference each other. Relational is tuples in tables with relational algebra. Tuples are data fields grouped into a "row" with typed fields
Object–relational impedance mismatch
Object–relational_impedance_mismatch
Function's sensitivity to argument change
an m {\displaystyle m} -tuple of real numbers x {\displaystyle x} ) into some codomain (e.g. an n {\displaystyle n} -tuple of real numbers f ( x ) {\displaystyle
Condition_number
Programming language
parenthetical expression or tuple (... | ...) (proofs | values) .<...>. termination metric @(...) flat tuple or variadic function parameters tuple (see example's printf)
ATS_(programming_language)
TUPLE
TUPLE
TUPLE
TUPLE
Girl/Female
Hindu
Beautiful
Girl/Female
Hindu, Indian, Kannada, Malayalam, Marathi, Sindhi, Telugu
Pleasing
Boy/Male
Armenian, Hindu, Indian
Flower
Surname or Lastname
German and Dutch
German and Dutch : from a short form of Hildebrand or other compound names with the same initial element, hild ‘strife’, ‘battle’.English : from the medieval female personal name Hilda (Old English Hild), representing a short form of compound names with the first element hild ‘strife’, ‘battle’. Compare Hilliard, for example.
Boy/Male
Bengali, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Telugu
Good Deva
Biblical
seeing the Lord
Girl/Female
Indian, Telugu
Goddess of Space
Girl/Female
Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Tamil, Telugu
Lightning
Girl/Female
Indian
Boy/Male
Latin
Of the forest.
TUPLE
TUPLE
TUPLE
TUPLE
TUPLE