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ordinal sequence

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  • Sequence theory — is the study of conceptual sequences, representing unfolding steps of a sequence like a recipe or an algorithm. A successful sequence is one which is backtrack free.HistorySequence theory is related to various fields within mathematics and… …   Wikipedia

  • Ordinal collapsing function — In mathematical logic and set theory, an ordinal collapsing function (or projection function) is a technique for defining (notations for) certain recursive large countable ordinals, whose principle is to give names to certain ordinals much larger …   Wikipedia

  • Ordinal number — This article is about the mathematical concept. For number words denoting a position in a sequence ( first , second , third , etc.), see Ordinal number (linguistics). Representation of the ordinal numbers up to ωω. Each turn of the spiral… …   Wikipedia

  • Sequence — For other uses, see Sequence (disambiguation). In mathematics, a sequence is an ordered list of objects (or events). Like a set, it contains members (also called elements or terms), and the number of terms (possibly infinite) is called the length …   Wikipedia

  • Ordinal notation — In mathematical logic and set theory, an ordinal notation is a finite sequence of symbols from a finite alphabet which names an ordinal number according to some scheme which gives meaning to the language. There are many such schemes of ordinal… …   Wikipedia

  • Ordinal arithmetic — In the mathematical field of set theory, ordinal arithmetic describes the three usual operations on ordinal numbers: addition, multiplication, and exponentiation. Each can be defined in essentially two different ways: either by constructing an… …   Wikipedia

  • Ordinal optimization — In mathematical optimization, ordinal optimization is the maximization of functions taking values in a partially ordered set ( poset ). Ordinal optimization has applications in the theory of queuing networks. Contents 1 Mathematical foundations 1 …   Wikipedia

  • ordinal number — noun a) A word that expresses the relative position of an item in an ordered sequence. First, second and third are the ordinal numbers corresponding to one, two and three. b) A number used to denote position in a sequence …   Wiktionary

  • Ordinal logic — In mathematics, ordinal logic is a logic associated with an ordinal number by recursively adding elements to a sequence of previous logics.[1][2] The concept was introduced in 1938 by Alan Turing in his PhD dissertation at Princeton in view of… …   Wikipedia

  • ordinal number — [[t]ɔ͟ː(r)dɪn(ə)l nʌ̱mbə(r)[/t]] ordinal numbers N COUNT An ordinal number or an ordinal is a word such as first , third , and tenth that tells you where a particular thing occurs in a sequence of things. Compare cardinal number …   English dictionary

  • ordinal number — noun the number designating place in an ordered sequence • Syn: ↑ordinal, ↑no. • Derivationally related forms: ↑ordinal (for: ↑ordinal) • Hypernyms: ↑number …   Useful english dictionary

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