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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク N-tuple ： ウィキペディア英語版 Tuple A tuple is a finite ordered list of elements. In mathematics, an -tuple is a sequence (or ordered list) of elements, where is a non-negative integer. There is only one 0-tuple, an empty sequence. An -tuple is defined inductively using the construction of an ordered pair. Tuples are usually written by listing the elements within parentheses "$(\backslash text)$" and separated by commas; 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 "$\backslash langle\backslash text\backslash rangle$". Braces "" are never used for tuples, as they are the standard notation for sets. Tuples are often used to describe other mathematical objects, such as vectors. In computer science, tuples are directly implemented as product types in most functional programming languages. More commonly, they are implemented as record types, where the components are labeled instead of being identified by position alone. This approach is also used in relational algebra. Tuples are also used in relation to programming the semantic web with Resource Description Framework or RDF. Tuples are also used in linguistics〔(【引用サイトリンク】title=N‐tuple - Oxford Reference )〕 and philosophy.〔(【引用サイトリンク】title=Ordered n-tuple - Oxford Reference )〕 ==Etymology== The term originated as an abstraction of the sequence: single, double, triple, quadruple, quintuple, sextuple, septuple, octuple, ..., ‑tuple, ..., where the prefixes are taken from the Latin names of the numerals. The unique 0‑tuple is called the null tuple. A 1‑tuple is called a singleton, a 2‑tuple is called an ordered pair and a 3‑tuple is a triple or triplet. can be any nonnegative integer. For example, a complex number can be represented as a 2‑tuple, a quaternion can be represented as a 4‑tuple, an octonion can be represented as an 8‑tuple and a sedenion can be represented as a 16‑tuple. Although these uses treat ''‑tuple'' as the suffix, the original suffix was ''‑ple'' as in "triple" (three-fold) or "decuple" (ten‑fold). This originates from a medieval Latin suffix ''‑plus'' (meaning "more") related to Greek ‑πλοῦς, which replaced the classical and late antique ''‑plex'' (meaning "folded"), as in "duplex".〔''OED'', ''s.v.'' "triple", "quadruple", "quintuple", "decuple"〕 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Tuple」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.