Jacobian

(mathematics) The Jacobian of functions ƒ_i(x₁, x₂, …, x_n), i = 1, 2, …, n, of real variables x_i is the determinant of the matrix whose ith row lists all the first-order partial derivatives of the function ƒ_i(x₁, x₂, …, x_n). Also known as Jacobian determinant.

For non-mathematical use see Jacobean (disambiguation), Jacobin.

In mathematics, a Jacobian, named for Carl Gustav Jacob Jacobi, may mean

• Intermediate Jacobian
• Jacobian matrix and determinant
• Jacobian variety

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