Jacobi may refer to: * People with the surname Jacobi Mathematics: * Jacobi sum, a type of character sum *

Jacobi method In numerical linear algebra, the Jacobi method is an iterative algorithm for determining the solutions of a strictly diagonally dominant system of linear equations. Each diagonal element is solved for, and an approximate value is plugged in. The ...

, a method for determining the solutions of a diagonally dominant system of linear equations *

Jacobi eigenvalue algorithm In numerical linear algebra, the Jacobi eigenvalue algorithm is an iterative method for the calculation of the eigenvalues and eigenvectors of a real symmetric matrix (a process known as diagonalization). It is named after Carl Gustav Jacob Jacobi, ...

, a method for calculating the eigenvalues and eigenvectors of a real symmetric matrix * Jacobi elliptic functions, a set of doubly-periodic functions *

Jacobi polynomials In mathematics, Jacobi polynomials (occasionally called hypergeometric polynomials) P_n^(x) are a class of classical orthogonal polynomials. They are orthogonal with respect to the weight (1-x)^\alpha(1+x)^\beta on the interval 1,1/math>. The ...

, a class of orthogonal polynomials *

Jacobi symbol Jacobi symbol for various ''k'' (along top) and ''n'' (along left side). Only are shown, since due to rule (2) below any other ''k'' can be reduced modulo ''n''. Quadratic residues are highlighted in yellow — note that no entry with a ...

, a generalization of the Legendre symbol * Jacobi coordinates, a simplification of coordinates for an n-body system *

Jacobi identity In mathematics, the Jacobi identity is a property of a binary operation that describes how the order of evaluation, the placement of parentheses in a multiple product, affects the result of the operation. By contrast, for operations with the associ ...

for non-associative binary operations *

Jacobi's formula In matrix calculus, Jacobi's formula expresses the derivative of the determinant of a matrix ''A'' in terms of the adjugate of ''A'' and the derivative of ''A''., Part Three, Section 8.3 If is a differentiable map from the real numbers to mat ...

for the derivative of the determinant of a matrix * Jacobi triple product an identity in the theory of

theta function In mathematics, theta functions are special functions of several complex variables. They show up in many topics, including Abelian varieties, moduli spaces, quadratic forms, and solitons. As Grassmann algebras, they appear in quantum field ...

s * Jacobi's theorem (disambiguation) (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), another name for the French/German wine grape Pinot Noir Précoce * Jacobi (crater), 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