Jacobian determinant

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• jacobian determinant — noun see jacobian …   Useful english dictionary

• Jacobian — In vector calculus, the Jacobian is shorthand for either the Jacobian matrix or its determinant, the Jacobian determinant. In algebraic geometry the Jacobian of a curve means the Jacobian variety: a group variety associated to the curve, in which …   Wikipedia

• Determinant — This article is about determinants in mathematics. For determinants in epidemiology, see Risk factor. In linear algebra, the determinant is a value associated with a square matrix. It can be computed from the entries of the matrix by a specific… …   Wikipedia

• Jacobian conjecture — In mathematics, the Jacobian conjecture is a celebrated problem on polynomials in several variables. It was first posed in 1939 by Ott Heinrich Keller. It was later named and widely publicised by Shreeram Abhyankar, as an example of a question in …   Wikipedia

• jacobian — jəˈkōbēən, yə noun also jacobian determinant ( s) Usage: usually capitalized J Etymology: K.G.J. Jacobi died 1851 German mathematician + English an : a determinant in which the elements of the first column are the pa …   Useful english dictionary

• Jacobian — [jə kō′bē ən] n. 〚after Karl G. J. Jakobi (1804 51), Ger mathematician〛 Math. a determinant whose elements are the first, partial derivatives of a finite number of functions of the same number of variables, with the elements in each row being the …   Universalium

• Jacobian — [jə kō′bē ən] n. [after Karl G. J. Jakobi (1804 51), Ger mathematician] Math. a determinant whose elements are the first, partial derivatives of a finite number of functions of the same number of variables, with the elements in each row being the …   English World dictionary

• Jacobian — noun Etymology: K. G. J. Jacobi died 1851 German mathematician Date: 1881 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… …   New Collegiate Dictionary

• Curvilinear coordinates — Curvilinear, affine, and Cartesian coordinates in two dimensional space Curvilinear coordinates are a coordinate system for Euclidean space in which the coordinate lines may be curved. These coordinates may be derived from a set of Cartesian… …   Wikipedia

• Differential form — In the mathematical fields of differential geometry and tensor calculus, differential forms are an approach to multivariable calculus that is independent of coordinates. Differential forms provide a better[further explanation needed] definition… …   Wikipedia

• Inverse function theorem — In mathematics, specifically differential calculus, the inverse function theorem gives sufficient conditions for a function to be invertible in a neighborhood of a point in its domain. The theorem also gives a formula for the derivative of the… …   Wikipedia