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Hace 3 días · Adrien-Marie Legendre. The Legendre equation is the second order differential equation with a real parameter λ. (1 − x2)y ″ − 2xy. + λy = 0, − 1 < x < 1. This equation has two regular singular points x = ±1 where the leading coefficient (1 − x ²) vanishes.
Hace 2 días · 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.
Hace 1 día · 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.
17 de jun. de 2024 · The final 18th-century contribution to the theory of parallels was Adrien-Marie Legendre’s textbook Éléments de géométrie (Elements of Geometry and Trigonometry), the first edition of which appeared in 1794. Legendre presented an elegant demonstration that purported to show that the sum of the angles of a triangle is equal to ...
Hace 2 días · The method was published first by Adrien-Marie Legendre in 1805, but Gauss claimed in Theoria motus (1809) that he had been using it since 1794 or 1795. In the history of statistics, this disagreement is called the "priority dispute over the discovery of the method of least squares".
Hace 2 días · In 1798, Adrien-Marie Legendre first guessed this theorem. This was from his study on primes under 1,000,000. Then, in 1896, Jacques-Salomon Hadamard and Charles de la Vallée Poussin proved it. They used complex math, including the Riemann zeta function.
Hace 2 días · So wird er in der Korrespondenz des französischen Mathematikers Adrien-Marie Legendre (1752–1833) erwähnt, die dieser mit seinem preußischen Kollegen Carl Gustav Jacob Jacobi (1804–1851) führte. 2 Es war Michael Reiß, der Legendre einen im Rahmen der Theorie zu den elliptischen Funktionen bekannt gewordenen Brief Jakobis in Paris überbrachte.
