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continued fraction representation

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  • 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

  • Mathematical constants by continued fraction representation — This is a list of mathematical constants sorted by their representations as continued fractions. Continued fractions with more than 20 known terms have been truncated, with an ellipsis to show that they continue. Rational numbers have two… …   Wikipedia

  • 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

  • Continued fraction of Gauss — In complex analysis, the continued fraction of Gauss is a particular continued fraction derived from the hypergeometric functions. It was one of the first analytic continued fractions known to mathematics, and it can be used to represent several… …   Wikipedia

  • Gauss's continued fraction — In complex analysis, Gauss s continued fraction is a particular class of continued fractions derived from hypergeometric functions. It was one of the first analytic continued fractions known to mathematics, and it can be used to represent several …   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

  • 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

  • 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

  • Fraction continuée — 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

  • 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

  • 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

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