- Jacobian function
- Математика: функция Якоби
Универсальный англо-русский словарь. Академик.ру. 2011.
Jacobian function
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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 — 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
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 — 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
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
Implicit function theorem — In the branch of mathematics called multivariable calculus, the implicit function theorem is a tool which allows relations to be converted to functions. It does this by representing the relation as the graph of a function. There may not be a… … Wikipedia
Inverse function — In mathematics, if fnof; is a function from A to B then an inverse function for fnof; is a function in the opposite direction, from B to A , with the property that a round trip (a composition) from A to B to A (or from B to A to B ) returns each… … Wikipedia
Partition function (quantum field theory) — In quantum field theory, we have a generating functional, Z [J] of correlation functions and this value, called the partition function is usually expressed by something like the following functional integral::Z [J] = int mathcal{D}phi e^{i(S… … Wikipedia
Generalized Jacobian — In algebraic geometry = In mathematics, there are several notions of generalized Jacobians, which are algebraic groups or complex manifolds that are in some sense analogous to the Jacobian variety of an algebraic curve, or related to the Albanese … Wikipedia
