Lagrange's theorem
Encyclopedia
In mathematics, Lagrange's theorem usually refers to any of the following theorems, attributed to Joseph Louis Lagrange
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Category:Mathematical theorems
Joseph Louis Lagrange
Joseph-Louis Lagrange , born Giuseppe Lodovico Lagrangia, was a mathematician and astronomer, who was born in Turin, Piedmont, lived part of his life in Prussia and part in France, making significant contributions to all fields of analysis, to number theory, and to classical and celestial mechanics...
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- Lagrange's theorem (group theory)Lagrange's theorem (group theory)Lagrange's theorem, in the mathematics of group theory, states that for any finite group G, the order of every subgroup H of G divides the order of G. The theorem is named after Joseph Lagrange....
- Lagrange's theorem (number theory)Lagrange's theorem (number theory)In number theory, Lagrange's theorem states that:If the modulus is not prime, then it is possible for there to be more than n solutions. The exact number of solutions can be determined by finding the prime factorization of n...
- Lagrange's four-square theoremLagrange's four-square theoremLagrange's four-square theorem, also known as Bachet's conjecture, states that any natural number can be represented as the sum of four integer squaresp = a_0^2 + a_1^2 + a_2^2 + a_3^2\ where the four numbers are integers...
, which states that every positive integer can be expressed as the sum of four squares of integers - Mean value theoremMean value theoremIn calculus, the mean value theorem states, roughly, that given an arc of a differentiable curve, there is at least one point on that arc at which the derivative of the curve is equal to the "average" derivative of the arc. Briefly, a suitable infinitesimal element of the arc is parallel to the...
in calculus
Category:Mathematical theorems