convergent of continued fraction

  • 21Bessel-Clifford function — In mathematical analysis, the Bessel Clifford function is an entire function of two complex variables which can be used to provide an alternative development of the theory of Bessel functions. If :pi(x) = frac{1}{Pi(x)} = frac{1}{Gamma(x+1)}is… …

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  • 22Riemann zeta function — ζ(s) in the complex plane. The color of a point s encodes the value of ζ(s): dark colors denote values close to zero and hue encodes the value s argument. The white spot at s = 1 is the pole of the zeta function; the black spots on the… …

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  • 23Approximations of π — Timeline of approximations for pi …

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  • 24History of Grandi's series — Geometry and infinite zerosGrandiGuido Grandi (1671 – 1742) reportedly provided a simplistic account of the series in 1703. He noticed that inserting parentheses into nowrap|1=1 − 1 + 1 − 1 + · · · produced varying results: either:(1 1) + (1 1) + …

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  • 25Pi — Pour les articles homonymes, voir Pi (homonymie). Si le diamètre du cercle est 1, sa circonférence est π. Pi[1 …

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  • 26Complex plane — Geometric representation of z and its conjugate in the complex plane. The distance along the light blue line from the origin to the point z is the modulus or absolute value of z. The angle φ is the argument of z. In mathematics …

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  • 27Trigonometric functions — Cosine redirects here. For the similarity measure, see Cosine similarity. Trigonometry History Usage Functions Generalized Inverse functions …

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  • 28List of real analysis topics — This is a list of articles that are considered real analysis topics. Contents 1 General topics 1.1 Limits 1.2 Sequences and Series 1.2.1 Summation Methods …

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  • 29Proof that 22/7 exceeds π — Proofs of the famous mathematical result that the rational number 22⁄7 is greater than π date back to antiquity. What follows is a modern mathematical proof that 22⁄7 > π, requiring only elementary techniques from calculus. The purpose is not… …

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  • 30Stieltjes, Thomas Jan — ▪ French mathematician born 1856, Zwolle, Netherlands died 1894, Toulouse, France       Dutch born French mathematician who made notable contributions to the theory of infinite series. He is remembered as “the father of the analytic theory of… …

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