Jacobian

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Jacobian

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The determinant formed by the n<² partial derivatives of n functions of n variables, when the derivatives of each function occupy one row of the determinant. For the case of two functions f(x,y) and g(x,y) , the Jacobian J(f,g)

is Missing Image:img src="SP7_j_files/jacob1.gif" alt="jacobian matrix equation" Sometimes written Missing Image:img src="SP7_j_files/jacob2.gif" alt="alternate notation for jacobian".

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References

This article is based on NASA's Dictionary of Technical Terms for Aerospace Use