tuples - Definition. Was ist tuples
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Was (wer) ist tuples - definition

FINITE ORDERED LIST OF ELEMENTS
Ntuple; N-tuples; N-tuple; Elementary relation; Quintuple; Ordered triple; Tuples; Empty tuple; Pentuple; K-tuple; Tupple; Tuple notation; 4-tuple; -tuple; Tuple (mathematics); Octuple; Duodecuple; Groups of numbers; Nested tuples; Septuple; Nonuple; Decuple; Undecuple; Centuple; Hendecuple; Hextuple; 3-tuple; 2-tuple; 1-tuple; 5-tuple; 6-tuple; 7-tuple; 8-tuple; 9-tuple; 10-tuple; 11-tuple; 12-tuple; 100-tuple; 0-tuple; Single (mathematics); Double (mathematics); Triple (mathematics); Quadruple (mathematics); Names for tuples of specific lengths; Sextuple

tuple         
In functional languages, a data object containing two or more components. Also known as a product type or pair, triple, quad, etc. Tuples of different sizes have different types, in contrast to lists where the type is independent of the length. The components of a tuple may be of different types whereas all elements of a list have the same type. Examples of tuples in Haskell notation are (1,2), ("Tuple",True), (w,(x,y),z). The degenerate tuple with zero components, written (), is known as the unit type since it has only one possible value which is also written (). The implementation of tuples in a language may be either "lifted" or not. If tuples are lifted then (bottom,bottom) /= bottom and the evaluation of a tuple may fail to terminate. E.g. in Haskell: f (x,y) = 1 --> f bottom = bottom f (bottom,bottom) = 1 With lifted tuples, a tuple pattern is refutable. Thus in Haskell, pattern matching on tuples is the same as pattern matching on types with multiple constructors ({algebraic data types}) - the expression being matched is evaluated as far as the top level constructor, even though, in the case of tuples, there is only one possible constructor for a given type. If tuples are unlifted then (bottom, bottom) = bottom and evaluation of a tuple will never fail to terminate though any of the components may. E.g. in Miranda: f (x,y) = 1 --> f bottom = 1 f (bottom,bottom) = 1 Thus in Miranda, any object whose type is compatible with a tuple pattern is assumed to match at the top level without evaluation - it is an irrefutable pattern. This also applies to user defined data types with only one constructor. In Haskell, patterns can be made irrefutable by adding a "tuple" as in f tuple(x,y) = 1. If tuple constructor functions were strict in all their arguments then (bottom,x) = (x,bottom) = bottom for any x so matching a refutable pattern would fail to terminate if any component was bottom.
tuple         
['tju:p(?)l]
¦ noun Computing a data structure consisting of multiple parts.
?(in a relational database) an ordered set of data constituting a record.
Origin
from -tuple.

Wikipedia

Tuple

In mathematics, a tuple is a finite ordered list (sequence) of elements. An n-tuple is a sequence (or ordered list) of n elements, where n is a non-negative integer. There is only one 0-tuple, referred to as the empty tuple. An n-tuple is defined inductively using the construction of an ordered pair.

Mathematicians usually write tuples by listing the elements within parentheses "( )" and separated by a comma and a space; for example, (2, 7, 4, 1, 7) denotes a 5-tuple. Sometimes other symbols are used to surround the elements, such as square brackets "[ ]" or angle brackets "⟨ ⟩". Braces "{ }" are used to specify arrays in some programming languages but not in mathematical expressions, as they are the standard notation for sets. The term tuple can often occur when discussing other mathematical objects, such as vectors.

In computer science, tuples come in many forms. Most typed functional programming languages implement tuples directly as product types, tightly associated with algebraic data types, pattern matching, and destructuring assignment. Many programming languages offer an alternative to tuples, known as record types, featuring unordered elements accessed by label. A few programming languages combine ordered tuple product types and unordered record types into a single construct, as in C structs and Haskell records. Relational databases may formally identify their rows (records) as tuples.

Tuples also occur in relational algebra; when programming the semantic web with the Resource Description Framework (RDF); in linguistics; and in philosophy.