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Jacobian

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Jacobian [jə′kō·bē·ən]
(mathematics)
The Jacobian of functions ƒi(x1,x2, …,xn),i= 1, 2, …,n, of real variablesxiis the determinant of the matrix whoseith row lists all the first-order partial derivatives of the function ƒi(x1,x2, …,xn). Also known as Jacobian determinant.


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5) to a certain cubic one: One of them is second degree and is called Hessian (H) of the given cubic, the other is third degree and is called Jacobian (T) of the given cubic.
Statistical theory of stresses in rubber-like materials by Ulmer, James D. / Rubber World
The Jacobian equals 1 in that the model space is discrete.
A Bayesian regression spline approach to estimation of the term ... by Yu, Yan / Journal of Academy of Business and Economics
The elemental area term in that equation is now given by dXdY = Jd[xi] d[eta] where J is called the Jacobian of the transformation between X-Y and [xi]-[eta].
FEA of diffusion-reaction in tires by Nelson, Norman W. / Rubber World
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