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Retrieved November 14, The Guardian — via The Associated Press. Archived from the original on February 10, Retrieved February 11, Retrieved November 23, Retrieved 8 March Archived from the original on July 21, Retrieved December 15, Retrieved November 19, Retrieved January 25, Retrieved March 2, Retrieved January 7, Retrieved December 20, Retrieved December 2, Retrieved 16 February Retrieved July 3, Retrieved 17 June Retrieved February 27, Retrieved February 24, Retrieved April 11, The named reference pollack was invoked but never defined see the help page.
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However, the individual finishes and any awards for all eligible student-athletes shall be retained. Retrieved November 7, Retrieved November 18, Retrieved December 21, Retrieved December 25, Retrieved January 12, Star Tribune via HighBeam Research.
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Archived from the original on August 23, 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.
The term originated as an abstraction of the sequence: Thus a tuple has properties that distinguish it from a set. There are several definitions of tuples that give them the properties described in the previous section.
Another way of modeling tuples in Set Theory is as nested ordered pairs. This approach assumes that the notion of ordered pair has already been defined; thus a 2-tuple.
In discrete mathematics , especially combinatorics and finite probability theory , n -tuples arise in the context of various counting problems and are treated more informally as ordered lists of length n.
The number of n -tuples of an m -set is m n. This follows from the combinatorial rule of product. Tuples are elements of this product set.
In type theory , commonly used in programming languages , a tuple has a product type ; this fixes not only the length, but also the underlying types of each component.
The tuple with labeled elements used in the relational model has a record type. Both of these types can be defined as simple extensions of the simply typed lambda calculus.
The notion of a tuple in type theory and that in set theory are related in the following way: The n -tuple of type theory has the natural interpretation as an n -tuple of set theory: The unit type has as semantic interpretation the 0-tuple.
From Wikipedia, the free encyclopedia. This article is about the mathematical concept.