transcendental number

  • 71Gamma function — For the gamma function of ordinals, see Veblen function. The gamma function along part of the real axis In mathematics, the gamma function (represented by the capital Greek letter Γ) is an extension of the factorial function, with its… …

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  • 72List of mathematics articles (T) — NOTOC T T duality T group T group (mathematics) T integration T norm T norm fuzzy logics T schema T square (fractal) T symmetry T table T theory T.C. Mits T1 space Table of bases Table of Clebsch Gordan coefficients Table of divisors Table of Lie …

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  • 73Gelfond, Aleksandr Osipovich — ▪ Russian mathematician born October 24, 1906, St. Petersburg, Russia died November 7, 1968, Moscow       Russian mathematician who originated basic techniques in the study of transcendental numbers (numbers that cannot be expressed as the root… …

    Universalium

  • 74Transcendence (mathematics) — In mathematics, transcendence refers to the property of not being algebraic. The main examples of objects with this property are:* transcendental numbers, which are complex numbers that are not a root of any non zero polynomial with rational… …

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  • 75Gelfond–Schneider constant — The Gelfond–Schneider constant is :2^{sqrt{2=2.6651441...which was proved by Rodion Kuzmin to be a transcendental number. Aleksandr Gelfond in 1934 proved the more general Gelfond–Schneider theorem , which completely solved the part of Hilbert s… …

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  • 76Gelfond–Schneider theorem — In mathematics, the Gelfond–Schneider theorem is a result which establishes the transcendence of a large class of numbers. It was originally proved independently in 1934 by Aleksandr Gelfond and by Theodor Schneider. The Gelfond–Schneider theorem …

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  • 77Algebraic element — In mathematics, the roots of polynomials are in abstract algebra called algebraic elements. They can be created in a larger structure ( adjoined ), not simply found to exist in a given one. More precisely, if L is a field extension of K then an… …

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  • 78Special values of L-functions — In mathematics, the study of special values of L functions is a subfield of number theory devoted to generalising formulae such as the Leibniz formula for pi, namely by the recognition that expression on the left hand side is also L(1) where L(s) …

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  • 79Transcendence — may refer to: * Transcendence (mathematics) ** Transcendental number, a real number that is not the root of any polynomial with rational coefficients ** Transcendental element, an element of a field extension that is not the root of any… …

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  • 80Cantor's first uncountability proof — Georg Cantor s first uncountability proof demonstrates that the set of all real numbers is uncountable. Cantor formulated the proof in December 1873 and published it in 1874 in Crelle s Journal [cite… …

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