convergent of continued fraction

  • 11Padé table — In complex analysis, a Padé table is an array, possibly of infinite extent, of the rational Padé approximants : R m , n to a given complex formal power series. Certain sequences of approximants lying within a Padé table can often be shown to… …

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  • 12List of mathematics articles (C) — NOTOC C C closed subgroup C minimal theory C normal subgroup C number C semiring C space C symmetry C* algebra C0 semigroup CA group Cabal (set theory) Cabibbo Kobayashi Maskawa matrix Cabinet projection Cable knot Cabri Geometry Cabtaxi number… …

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  • 13Square root of 5 — The square root of 5 is the positive real number that, when multiplied by itself, gives the prime number 5. This number appears in the formula for the golden ratio. It can be denoted in surd form as::sqrt{5}.It is an irrational algebraic number.… …

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  • 14Srinivasa Ramanujan — Infobox Scientist name=Srinivasa Ramanujan thumb|Srinivasa Ramanujan birth date = birth date|1887|12|22|df=y birth place = Erode, Tamil Nadu, India death date = death date and age|1920|4|26|1887|12|22|df=y death place = Chetput, (Madras), Tamil… …

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  • 15Khinchin's constant — In number theory, Aleksandr Yakovlevich Khinchin proved that for almost all real numbers x , the infinitely many denominators a i of the continued fraction expansion of x have an astonishing property: their geometric mean is a constant, known as… …

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  • 16Series (mathematics) — A series is the sum of the terms of a sequence. Finite sequences and series have defined first and last terms, whereas infinite sequences and series continue indefinitely.[1] In mathematics, given an infinite sequence of numbers { an } …

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  • 17Pell's equation — is any Diophantine equation of the form:x^2 ny^2=1,where n is a nonsquare integer and x and y are integers. Trivially, x = 1 and y = 0 always solve this equation. Lagrange proved that for any natural number n that is not a perfect square there… …

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  • 18Euler–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… …

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  • 19Mathematical coincidence — This article is about numerical curiosities. For the technical mathematical concept of coincidence, see coincidence point. A mathematical coincidence can be said to occur when two expressions show a near equality that lacks direct theoretical… …

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  • 20Factorial — n n! 0 1 1 1 2 2 3 6 4 24 5 120 6 720 7 …

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