In mathematics, Lagrange's theorem usually refers to any of the following theorems, attributed to
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Lagrange inversion theorem — In mathematical analysis, the Lagrange inversion theorem, also known as the Lagrange Bürmann formula, gives the Taylor series expansion of the inverse function of an analytic function. Theorem statementSuppose the dependence between the variables … 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
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 theorem (number theory) — Lagrange s theorem, in the mathematics of number theory, states that::If p is a prime number and f(x) is a polynomial of degree n, then f(x) = 0 (mod p) has at most n integral solutions for 0 < x < p .If the modulus is not prime, then it is… … Wikipedia
Lagrange's theorem — Math. the theorem that the order of each subgroup of a finite group is a factor of the order of the group. [named after J. L. LAGRANGE] * * * … Universalium
Lagrange's theorem — Math. the theorem that the order of each subgroup of a finite group is a factor of the order of the group. [named after J. L. LAGRANGE] … Useful english dictionary
Lagrange (disambiguation) — Lagrange may refer to: * Château Lagrange, the wine from Bordeaux, France * Joseph Louis Lagrange, (1736–1813) mathematician and mathematical physicist * Léo Lagrange, (1900–1940) french ministre * Georges Lagrange, (1928–2004) esperanto writerIn … Wikipedia
Lagrange's formula — may refer to a number of results named after Joseph Louis Lagrange: *Lagrange s interpolation formula Lagrange polynomial *Lagrange Bürmann formula Lagrange inversion theorem *Vector triple product *Mean value theorem … Wikipedia
Lagrange multipliers on Banach spaces — In the field of calculus of variations in mathematics, the method of Lagrange multipliers on Banach spaces can be used to solve certain infinite dimensional constrained optimization problems. The method is a generalization of the classical method … 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
