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Ja·co·bi·an | \ jə-ˈkō-bē-ən 
, yä- \
, yä- \Definition of Jacobian
: a determinant which is defined for a finite number of functions of the same number of variables and in which each row consists of the first partial derivatives of the same function with respect to each of the variables
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The first known use of Jacobian was in 1852
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