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1 infinite continued fraction expansion
Математика: разложение в бесконечную цепную дробьУниверсальный англо-русский словарь > infinite continued fraction expansion
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2 infinite continued fraction expansion
English-Russian scientific dictionary > infinite continued fraction expansion
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3 expansion
1) протяженность; пространство2) метал. развальцовка3) матем. разложение ( в ряд)4) растяжение; расширение; распространение; экспансия5) геол. увеличение мощности пласта•expansion by binomial theorem — матем. разложение по формуле бинома
expansion by continuity — матем. расширение по непрерывности
expansion by heat — физ. расширение при нагревании
expansion into a series — матем. разложение в ряд
expansion in terms of — разложение в ряд по...
См. также в других словарях:
Continued fraction — Finite continued fraction, where a0 is an integer, any other ai are positive integers, and n is a non negative integer. In mathematics, a continued fraction is an expression obtained through an iterative process of representing a number as the… … Wikipedia
Generalized continued fraction — In analysis, a generalized continued fraction is a generalization of regular continued fractions in canonical form in which the partial numerators and the partial denominators can assume arbitrary real or complex values.A generalized continued… … Wikipedia
Euler's continued fraction formula — In the analytic theory of continued fractions, Euler s continued fraction formula is an identity connecting a certain very general infinite series with an infinite continued fraction. First published in 1748, it was at first regarded as a simple… … Wikipedia
Periodic continued fraction — In mathematics, an infinite periodic continued fraction is a continued fraction that can be placed in the form:x = a 0 + cfrac{1}{a 1 + cfrac{1}{a 2 + cfrac{ddots}{quadddotsquad a k + cfrac{1}{a {k+1} + cfrac{ddots}{quadddotsquad a {k+m 1} +… … Wikipedia
Convergent (continued fraction) — A convergent is one of a sequence of values obtained by evaluating successive truncations of a continued fraction. The nth convergent is also known as the nth approximant of a continued fraction.[1] Contents 1 Representation of real numbers 2… … Wikipedia
Engel expansion — The Engel expansion of a positive real number x is the unique non decreasing sequence of positive integers {a 1,a 2,a 3,dots} such that:x=frac{1}{a 1}+frac{1}{a 1a 2}+frac{1}{a 1a 2a 3}+cdots.;Rational numbers have a finite Engel expansion, while … Wikipedia
Egyptian fraction — An Egyptian fraction is the sum of distinct unit fractions, such as frac{1}{2}+ frac{1}{3}+ frac{1}{16}. That is, each fraction in the expression has a numerator equal to 1 and a denominator that is a positive integer, and all the denominators… … Wikipedia
Pi — This article is about the number. For the Greek letter, see Pi (letter). For other uses, see Pi (disambiguation). The circumference of a ci … Wikipedia
Euler–Mascheroni constant — Euler s constant redirects here. For the base of the natural logarithm, e ≈ 2.718..., see e (mathematical constant). The area of the blue region is equal to the Euler–Mascheroni constant. List of numbers – Irrational and suspected irrational… … Wikipedia
Champernowne constant — In mathematics, the Champernowne constant C10 is a transcendental real constant whose decimal expansion has important properties. It is named after mathematician D. G. Champernowne, who published it as an undergraduate in 1933. In base 10, the… … Wikipedia
Golden ratio — For the Ace of Base album, see The Golden Ratio (album). Not to be confused with Golden number. The golden section is a line segment divided according to the golden ratio: The total length a + b is to the length of the longer segment a as the… … Wikipedia