- infinite continued fraction
- 无限连分数
Atmospheric Sciences (English-Chinese) dictionary. 2014.
infinite continued fraction
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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
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
continued fraction — Math. a fraction whose denominator contains a fraction whose denominator contains a fraction, and so on. [1860 65] * * * ▪ mathematics expression of a number as the sum of an integer and a quotient, the denominator of which is the sum of an … Universalium
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
Chain sequence (continued fraction) — In the analytic theory of continued fractions, a chain sequence is an infinite sequence {an} of non negative real numbers chained together with another sequence {gn} of non negative real numbers by the equations where either (a)… … 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
continued fraction — noun A fraction whose numerator is an integer and whose denominator is an integer plus a fraction whose denominator is an integer plus a fraction and so on to an infinite number of terms … Wiktionary
Complex argument (continued fraction) — In analysis, the complex argument theta; = arg( z ) is commonly defined as an angle, often in terms of the inverse tangent function, or the inverse cosine. In a purely formal and perfectly rigorous treatment of the complex numbers, such reliance… … Wikipedia
Mathematical constants (sorted by continued fraction representation) — This is a list of mathematical constants sorted by their representations as continued fractions:(Constants known to be irrational have infinite continued fractions: their last term is ....)Symbol NumeralNumber setValue Continued fraction… … Wikipedia
Fraction Continue — Exemple de développement infini en fraction continue En mathématiques, une fraction continue ou fraction continue simple ou encore fraction continuée[1] est une expression de la forme … Wikipédia en Français
