- epsilon ordinal
- мат. эпсилоново порядковое число
Большой англо-русский и русско-английский словарь. 2001.
Большой англо-русский и русско-английский словарь. 2001.
Epsilon — (uppercase Ε, lowercase ε; el. Έψιλον) is the fifth letter of the Greek alphabet, corresponding phonetically to a close mid front unrounded vowel /e/. In the system of Greek numerals it has a value of 5. It was derived from the Phoenician letter… … 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 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
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
Epsilon (homonymie) — Cette page d’homonymie répertorie les différents sujets et articles partageant un même nom. Le mot epsilon peut renvoyer à : Epsilon, lettre grecque ; Epsilon Euskadi, une équipe de course automobile ; Ouragan Epsilon, un… … Wikipédia en Français
Epsilon number — An epsilon number may refer to:*a type of ordinal number, the smallest being epsilon nought *Relative static permittivity (physics) *a Musean hypernumberFor a comprehensive overview on uses of the symbol ε see Epsilon … Wikipedia
Bachmann–Howard ordinal — In mathematics, the Bachmann–Howard ordinal (or Howard ordinal) is a large countable ordinal.It is the proof theoretic ordinal of several mathematical theories, such as Kripke–Platek set theory (with the axiom of infinity) and the system CZF of… … Wikipedia
Additively indecomposable ordinal — In set theory, a branch of mathematics, an additively indecomposable ordinal α is any ordinal number that is not 0 such that for any eta,gamma … Wikipedia
Ε₀ — In mathematics, the epsilon numbers are a collection of transfinite numbers whose defining property is that they are fixed points of an exponential map. Consequently, they are not reachable from 0 via a series of applications of the chosen… … Wikipedia
Surreal number — In mathematics, the surreal number system is an arithmetic continuum containing the real numbers as well as infinite and infinitesimal numbers, respectively larger or smaller in absolute value than any positive real number. The surreals share… … Wikipedia
Gentzen's consistency proof — Gentzen s theoremIn 1936 Gerhard Gentzen proved the consistency of first order arithmetic using combinatorial methods. Gentzen s proof shows much more than merely that first order arithmetic is consistent. Gentzen showed that the consistency of… … Wikipedia