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Vor 16 Stunden · Based on the tables by Anton Felkel and Jurij Vega, Adrien-Marie Legendre conjectured in 1797 or 1798 that π(a) is approximated by the function a / (A log a + B), where A and B are unspecified constants. In the second edition of his book on number theory (1808) he then made a more precise conjecture, with A = 1 and B = −1.08366.
Vor einem Tag · Adrien-Marie Legendre (1752–1833) was the first to state the law of quadratic reciprocity. He also conjectured what amounts to the prime number theorem and Dirichlet's theorem on arithmetic progressions.
Vor 4 Tagen · (1) is named after a French mathematician Adrien-Marie Legendre (1752--1833) who introduced the Legendre polynomials in 1782. Legendre's equation comes up in many physical situations involving spherical symmetry. Legendre Polynomials. Legendre's polynomial can be defined explicitly: Pn(x) = 1 2n ⌊ n / 2 ⌋ ∑ k = 0 ( − 1)k(n k)(2n − 2k n)xn − 2k,
Vor 4 Tagen · Euclid, the most prominent mathematician of Greco-Roman antiquity, best known for his geometry book, the Elements. It is sometimes said that, other than the Bible, the Elements is the most translated, published, and studied of all the books produced in the Western world.
Vor 5 Tagen · That is precisely what is done by linear regression, which was described in 1805 by French mathematician Adrien-Marie Legendre (Plackett, 1972). Many of the methods used today for machine learning involve much more computation, and allow the form of the model to be determined by the data (instead of specified by the analyst), but the essential feature of predicting y from other variables is ...
Vor 4 Tagen · Introduction This method is attributed to Johann Carl Friedrich Gauss (1777-1855) and Adrien- Marie Legendre (1752-1833). Gauss-Legendre Integration . To find the area under the curve, y =f(x), -1 ≤ x ≤ 1 What method gives the be ...
Vor 4 Tagen · Alguns matemàtics que van intentar demostrar aquest postulat van ser Adrien-Marie Legendre (1752-1833) i Johann Gauss (1777-1855). Shan trobat dues noves geometries modificant el postulat: Geometria hiperbòlica de Nikolai Ivanovich Lobachevski (1792-1856) i l’hongarès János Bolyai (1802-1860) i Geometria El·lípica de Georg Friedrich Bernhard Riemann (1826-1866).
