Legendre theorem

Legendre theorem
теорема Лежандра

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  • Legendre's constant — is a mathematical constant occurring in a formula conjectured by Adrien Marie Legendre to capture the asymptotic behavior of the prime counting function scriptstylepi(x). Its value is now known to be exactly 1.Examination of available numerical… …   Wikipedia

  • Legendre's conjecture — Legendre s conjecture, proposed by Adrien Marie Legendre, states that there is a prime number between n 2 and ( n + 1)2 for every positive integer n . The conjecture is one of Landau s problems (1912) and unproven as of|2008|lc=on.The prime… …   Wikipedia

  • Legendre transformation — f(x) . The function is shown in red, and the tangent line at point (x 0, f(x 0)) is shown in blue. The tangent line intersects the vertical axis at (0, f^star) and f^star is the value of the Legendre transform f^star(p 0) , where p 0=dot{f}(x 0) …   Wikipedia

  • Adrien-Marie Legendre — Infobox Scientist name = Adrien Marie Legendre caption = Adrien Marie Legendre birth date = birth date|1752|9|18|mf=y birth place = Paris, France death date = death date and age|1833|1|10|1752|9|18|mf=y death place = Paris, France residence =… …   Wikipedia

  • Multiplication theorem — In mathematics, the multiplication theorem is a certain type of identity obeyed by many special functions related to the gamma function. For the explicit case of the gamma function, the identity is a product of values; thus the name. The various… …   Wikipedia

  • Prime number theorem — PNT redirects here. For other uses, see PNT (disambiguation). In number theory, the prime number theorem (PNT) describes the asymptotic distribution of the prime numbers. The prime number theorem gives a general description of how the primes are… …   Wikipedia

  • Adrien-Marie Legendre — Archivo:Marie Legendre.jpg Marie Legendre Adrien Marie Legendre. Adrien Marie Legendre (París, 18 de septiembre de 1752 Auteuil, Francia, 10 de enero de 1833) fue un matemático francés. Hizo importantes contribuciones a la estadística …   Wikipedia Español

  • prime number theorem — Math. the theorem that the number of prime numbers less than or equal to a given number is approximately equal to the given number divided by its natural logarithm. [1660 70] * * * ▪ mathematics  formula that gives an approximate value for the… …   Universalium

  • Fermats letztes Theorem — Pierre de Fermat. Der große fermatsche Satz wurde im 17. Jahrhundert von Pierre de Fermat formuliert, aber erst 1993 von Wiles und Taylor bewiesen (1995 veröffentlicht). Er besagt, dass die n te Potenz einer Zahl, wenn n > 2 ist, nicht in die… …   Deutsch Wikipedia

  • Bonnet's theorem — In classical mechanics, Bonnet s theorem states that if n different force fields each produce the same geometric orbit (say, an ellipse of given dimensions) albeit with different speeds v 1, v 2,..., v n at a given point P , then the same orbit… …   Wikipedia

  • Pythagorean theorem — See also: Pythagorean trigonometric identity The Pythagorean theorem: The sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c) …   Wikipedia

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