Jacobi may refer to: * People with the surname

Jacobi Jacobi may refer to: * People with the surname Jacobi (surname), Jacobi Mathematics: * Jacobi sum, a type of character sum * Jacobi method, a method for determining the solutions of a diagonally dominant system of linear equations * Jacobi eigenva ...

Mathematics: *

Jacobi sum In mathematics, a Jacobi sum is a type of character sum formed with Dirichlet characters. Simple examples would be Jacobi sums ''J''(''χ'', ''ψ'') for Dirichlet characters ''χ'', ''ψ'' modulo a prime number ''p'', defined by : J(\chi,\psi) = ...

, a type of character sum * Jacobi method, a method for determining the solutions of a diagonally dominant system of linear equations * Jacobi eigenvalue algorithm, a method for calculating the eigenvalues and eigenvectors of a real symmetric matrix *

Jacobi elliptic functions In mathematics, the Jacobi elliptic functions are a set of basic elliptic functions. They are found in the description of the motion of a pendulum (see also pendulum (mathematics)), as well as in the design of electronic elliptic filters. While tri ...

, a set of doubly-periodic functions * Jacobi polynomials, a class of orthogonal polynomials * Jacobi symbol, a generalization of the

Legendre symbol In number theory, the Legendre symbol is a multiplicative function with values 1, −1, 0 that is a quadratic character modulo an odd prime number ''p'': its value at a (nonzero) quadratic residue mod ''p'' is 1 and at a non-quadratic residu ...

Jacobi coordinates In the theory of many-particle systems, Jacobi coordinates often are used to simplify the mathematical formulation. These coordinates are particularly common in treating polyatomic molecules and chemical reactions, and in celestial mechanics ...

, a simplification of coordinates for an n-body system * Jacobi identity for non-associative binary operations * Jacobi's formula for the derivative of the determinant of a matrix *

Jacobi triple product In mathematics, the Jacobi triple product is the mathematical identity: :\prod_^\infty \left( 1 - x^\right) \left( 1 + x^ y^2\right) \left( 1 +\frac\right) = \sum_^\infty x^ y^, for complex numbers ''x'' and ''y'', with , ''x'', < 1 and ''y ...

an identity in the theory of theta functions *

Jacobi's theorem (disambiguation) Jacobi's theorem can refer to: *Maximum power theorem, in electrical engineering *The result that the determinant of skew-symmetric matrices with odd size vanishes, see skew-symmetric matrix *Jacobi's four-square theorem Jacobi's four-square theo ...

(various) Other: *

Jacobi Medical Center Jacobi Medical Center (NYC Health + Hospitals/Jacobi) is a municipal hospital operated by NYC Health + Hospitals in affiliation with the Albert Einstein College of Medicine. The facility is located in the Morris Park neighborhood of the Bronx, Ne ...

, New York *

Jacobi (grape) Jacobi may refer to: * People with the surname Jacobi Mathematics: * Jacobi sum, a type of character sum * Jacobi method, a method for determining the solutions of a diagonally dominant system of linear equations * Jacobi eigenvalue algorithm, a ...

, another name for the French/German wine grape Pinot Noir Précoce *

Jacobi (crater) Jacobi is a lunar impact crater that is located in the southern highlands on the near side of the Moon. It lies southeast of the crater Lilius, with Cuvier to the north-northwest and Baco to the northeast. The crater is 68 kilometers in diamet ...

, a lunar impact crater in the southern highlands on the near side of the Moon * Software_for_handling_chess_problems#Jacobi, chess software

See also