Jacobi's theorem can refer to:
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*The result that the determinant of skew-symmetric matrices with odd size vanishes, see
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Carathéodory-Jacobi-Lie theorem — The Carathéodory Jacobi Lie theorem is a theorem in symplectic geometry which generalizes Darboux s theorem.tatementLet M be a 2 n dimensional symplectic manifold with symplectic form omega;. For p ∈ M and r le; n , let f 1, f 2, ..., f r be… … Wikipedia
Jacobi triple product — In mathematics, the Jacobi triple product is a relation that re expresses the Jacobi theta function, normally written as a series, as a product. This relationship generalizes other results, such as the pentagonal number theorem.Let x and y be… … Wikipedia
Jacobi's four-square theorem — In 1834, Carl Gustav Jakob Jacobi found an exact formula for the total number of ways a given positive integer n can be represented as the sum of four squares. This number is eight times the sum of the divisors of n if n is odd and 24 times the… … Wikipedia
Jacobi sum — In mathematics, a Jacobi sum is a type of character sum formed with one or more Dirichlet characters. The simplest example would be for a Dirichlet character χ modulo a prime number p . Then take: J (χ) = Σ χ( a )χ(1 − a ) where the summation… … Wikipedia
Jacobi's formula — In matrix calculus, Jacobi s formula expresses the differential of the determinant of a matrix A in terms of the adjugate of A and the differential of A . The formula is: d , mbox{det} (A) = mbox{tr} (mbox{adj}(A) , dA).It is named after the… … Wikipedia
Moritz von Jacobi — Moritz Hermann von Jacobi Moritz Hermann von Jacobi Born September 9, 180 … Wikipedia
Maximum power theorem — In electrical engineering, the maximum power (transfer) theorem states that, to obtain maximum external power from a source with a finite internal resistance, the resistance of the load must be made the same as that of the source. It is claimed… … Wikipedia
Carl Gustav Jacob Jacobi — Carl Jacobi Carl Gustav Jacob Jacobi Born December 10, 1804(1804 … Wikipedia
Maximum power transfer theorem — In electrical engineering, the maximum power transfer theorem states that, to obtain maximum external power from a source with a finite internal resistance, the resistance of the load must be equal to the resistance of the source as viewed from… … Wikipedia
Charles Gustave Jacob Jacobi — Pour les articles homonymes, voir Jacobi. Charles Gustave Jacob Jacobi Charles Gustave Jacob Jacobi (Carl Gustav Jakob Jacobi) Naissance … Wikipédia en Français
