Jacobian matrix and determinant - Wikipedia, the free encyclopedia (this is a slightly stronger condition than merely requiring that all partial derivatives exist there), then the Jacobian matrix defines a linear map \mathbb{R}^n ...
Jacobian -- from Wolfram MathWorld the Jacobian matrix, sometimes simply called "the Jacobian" (Simon and Blume 1994) is defined by ... can be defined (Kaplan 1984, p. 99). For the case of n=3 ...