- Lagrange identity
- Математика: тождество Лагранжа
Универсальный англо-русский словарь. Академик.ру. 2011.
Lagrange identity
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Lagrange's theorem (group theory) — Lagrange s theorem, in the mathematics of group theory, states that for any finite group G , the order (number of elements) of every subgroup H of G divides the order of G . Lagrange s theorem is named after Joseph Lagrange. Proof of Lagrange s… … Wikipedia
Lagrange's four-square theorem — Lagrange s four square theorem, also known as Bachet s conjecture, was proven in 1770 by Joseph Louis Lagrange. An earlier proof by Fermat was never published.The theorem appears in the Arithmetica of Diophantus, translated into Latin by Bachet… … Wikipedia
Lagrange's identity — In algebra, Lagrange s identity is the identity:iggl( sum {k=1}^n a k^2iggr) iggl(sum {k=1}^n b k^2iggr) iggl(sum {k=1}^n a k b kiggr)^2 = sum {i=1}^{n 1} sum {j=i+1}^n (a i b j a j b i)^2 iggl(= {1 over 2} sum {i=1}^n sum {j=1}^n (a i b j … Wikipedia
Lagrange polynomial — In numerical analysis, a Lagrange polynomial, named after Joseph Louis Lagrange, is the interpolation polynomial for a given set of data points in the Lagrange form. It was first discovered by Edward Waring in 1779 and later rediscovered by… … Wikipedia
Lagrange reversion theorem — This page is about Lagrange reversion. For inversion, see Lagrange inversion theorem. In mathematics, the Lagrange reversion theorem gives series or formal power series expansions of certain implicitly defined functions; indeed, of compositions… … Wikipedia
Beltrami identity — The Beltrami identity is an identity in the calculus of variations. It says that a function u which is an extremal of the integral:I(u)=int a^b f(x,u,u ) , dxsatisfies the differential equation:frac{d}{dx}left(f u frac{partial f}{partial u }… … Wikipedia
Identité de Lagrange — En mathématiques, et plus particulièrement en algèbre, l’identité de Lagrange, découverte par Joseph Louis Lagrange, est une formule transformant un produit de sommes de carrés en une autre somme de carrés ; elle a d importantes conséquences … Wikipédia en Français
Brahmagupta–Fibonacci identity — In algebra, Brahmagupta s identity, also sometimes called Fibonacci s identity, implies that the product of two sums of two squares is itself a sum of two squares. In other words, the set of all sums of two squares is closed under multiplication … Wikipedia
François Joseph Lagrange-Chancel — (January 1, 1677 December 26 1758), born at Périgueux, was a French dramatist and satirist.He was an extremely precocious boy, and at Bordeaux, where he was educated, he produced a play when he was nine years old. Five years later his mother took … Wikipedia
Euler's four-square identity — In mathematics, Euler s four square identity says that the product of two numbers, each of which being a sum of four squares, is itself a sum of four squares. Specifically::(a 1^2+a 2^2+a 3^2+a 4^2)(b 1^2+b 2^2+b 3^2+b 4^2)=,::(a 1 b 1 a 2 b 2 a… … Wikipedia
Binet–Cauchy identity — In algebra, the Binet–Cauchy identity, named after Jacques Philippe Marie Binet and Augustin Louis Cauchy, states that: iggl(sum {i=1}^n a i c iiggr)iggl(sum {j=1}^n b j d jiggr) = iggl(sum {i=1}^n a i d iiggr)iggl(sum {j=1}^n b j c… … Wikipedia
