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Há 2 dias · Adrien-Marie Legendre (1752--1833) was a French mathematician. Legendre made numerous contributions to mathematics. His major work is Exercices de Calcul Intégral , published in three volumes in 1811, 1817, and 1819, where he introduced the basic properties of elliptic integrals, beta functions and gamma functions, along with their ...
Há 2 dias · 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.
Há 5 dias · Adrien–Marie Legendre was a French mathematician who invented Legendre polynomials. Mathematicians and physicists use these polynomials to solve differential equations and perform numerical...
Há 3 dias · (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,
Há 3 dias · 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.
Há 1 dia · French mathematician Adrien-Marie Legendre proved in 1794 that π 2 is also irrational. In 1882, German mathematician Ferdinand von Lindemann proved that π is transcendental, confirming a conjecture made by both Legendre and Euler.
Há 5 dias · Correspondence with Legendre. Germain engaged in an extensive correspondence with mathematician Adrien-Marie Legendre, seeking his guidance and feedback on her work. Despite initial skepticism, Legendre recognized Germain’s brilliance and became her mentor. The Sophie Germain Prime