# Jacobi

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> Source: https://en.wikipedia.org/wiki/Jacobi
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**Jacobi** may refer to:

## People

- [Jacobi (surname)](/source/Jacobi_(surname)), a list of people with the surname
- [Jacobi Boykins](/source/Jacobi_Boykins) (born 1995), American basketball player
- [Jacobi Francis](/source/Jacobi_Francis) (born 1998), American football player
- [Jacobi Mitchell](/source/Jacobi_Mitchell) (born 1986), Bahamian sprinter
- [Jacobi Robinson](/source/Jacobi_Robinson) (born 1984), Bermudian cricketer

## In mathematics

Concepts named after the German mathematician [Carl Gustav Jacob Jacobi](/source/Carl_Gustav_Jacob_Jacobi):

- [Jacobi sum](/source/Jacobi_sum), a type of character sum
- [Jacobi method](/source/Jacobi_method), a method for determining the solutions of a diagonally dominant system of linear equations
- [Jacobi eigenvalue algorithm](/source/Jacobi_eigenvalue_algorithm), a method for calculating the eigenvalues and eigenvectors of a real symmetric matrix
- [Jacobi elliptic functions](/source/Jacobi_elliptic_functions), a set of doubly-periodic functions
- [Jacobian matrix and determinant](/source/Jacobian_matrix_and_determinant) of a smooth map between Euclidean spaces or smooth manifolds
- [Jacobi operator](/source/Jacobi_operator) (Jacobi matrix), a tridiagonal symmetric matrix appearing in the theory of orthogonal polynomials
- [Jacobi polynomials](/source/Jacobi_polynomials), a class of orthogonal polynomials
- [Jacobi symbol](/source/Jacobi_symbol), a generalization of the [Legendre symbol](/source/Legendre_symbol)
- [Jacobi coordinates](/source/Jacobi_coordinates), a simplification of coordinates for an n-body system
- [Jacobi identity](/source/Jacobi_identity) for non-associative binary operations
- [Jacobi's formula](/source/Jacobi's_formula) for the derivative of the determinant of a matrix
- [Jacobi triple product](/source/Jacobi_triple_product), an identity in the theory of [theta functions](/source/Theta_function)
- [Jacobi's theorem (disambiguation)](/source/Jacobi's_theorem_(disambiguation)), several theorems

## Other uses

- [Jacobi Medical Center](/source/Jacobi_Medical_Center), New York
- [Jacobi (grape)](/source/Jacobi_(grape)), another name for the French/German wine grape Pinot Noir Précoce
- [Jacobi (crater)](/source/Jacobi_(crater)), a lunar impact crater in the southern highlands on the near side of the Moon
- [Software for handling chess problems § Jacobi](/source/Software_for_handling_chess_problems#Jacobi), chess software

## See also

- [Jacoby (disambiguation)](/source/Jacoby_(disambiguation))
- [Jacob](/source/Jacob)
- [Jakob (disambiguation)](/source/Jakob_(disambiguation))
- [Jacobs (disambiguation)](/source/Jacobs_(disambiguation))
- [Jacobian (disambiguation)](/source/Jacobian_(disambiguation))
- [Jacobin (disambiguation)](/source/Jacobin_(disambiguation))
- [Jacobite (disambiguation)](/source/Jacobite_(disambiguation))

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Adapted from the Wikipedia article [Jacobi](https://en.wikipedia.org/wiki/Jacobi) by Wikipedia contributors ([contributor history](https://en.wikipedia.org/wiki/Jacobi?action=history)). Available under [Creative Commons Attribution-ShareAlike 4.0 International](https://creativecommons.org/licenses/by-sa/4.0/). Changes may have been made.