- ordinal notation
- 1) порядковый индекс2) порядковая индексация
English-Russian dictionary of mechanical engineering and automation. - RUSSO. B.S. Voskoboinikov, V.L. Mitrovich. 2003.
ordinal notation
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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 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 analysis — In proof theory, ordinal analysis assigns ordinals (often large countable ordinals) to mathematical theories as a measure of their strength. The field was formed when Gerhard Gentzen in 1934 used cut elimination to prove, in modern terms, that… … 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
Notation — The term notation can refer to: Contents 1 Written communication 1.1 Biology and Medicine 1.2 Chemistry 1.3 Dance and movement … Wikipedia
Ordinal — Nombre ordinal En linguistique, les mots premier, deuxième, troisième, quatrième, etc. s appellent des adjectifs numéraux ordinaux qui servent à préciser le rang d un objet dans une collection ou l ordre d un événement dans une succession. Cette… … Wikipédia en Français
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
Notation complexe — Nombre complexe Pour les articles homonymes, voir complexe. Les nombres complexes forment une extension de l ensemble des nombres réels. Ils permettent notamment de définir des solutions à toutes les équations polynomiales à coefficients réels.… … Wikipédia en Français
Large countable ordinal — In the mathematical discipline of set theory, there are many ways of describing specific countable ordinals. The smallest ones can be usefully and non circularly expressed in terms of their Cantor normal forms. Beyond that, many ordinals of… … Wikipedia
Recursive ordinal — In mathematics, specifically set theory, an ordinal α is said to be recursive if there is a recursive binary relation R that well orders a subset of the natural numbers and the order type of that ordering is α. It is trivial to check that ω is… … Wikipedia
Set notation — Sets are fundamental objects in mathematics. Intuitively, a set is merely a collection of elements or members . There are various conventions for textually denoting sets. In any particular situation, an author typically chooses from among these… … Wikipedia
