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 function with respect to each of the variables

New Collegiate Dictionary. 2001.

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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 — Jacobean Ja*co be*an (?; 277), Jacobian Ja*co bi*an, a. [From L. Jacobus James. See 2d {Jack}.] Of or pertaining to James the First, of England, or of his reign or times; especially, pertaining to a style of architecture and decoration popular in …   The Collaborative International Dictionary of English

  • Jacobian — jakobianas statusas T sritis fizika atitikmenys: angl. Jacobian vok. Jakobian, n rus. якобиан, m pranc. jacobien, m …   Fizikos terminų žodynas

  • 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 — Die Jacobi Matrix (benannt nach Carl Gustav Jacob Jacobi; auch Funktionalmatrix oder Ableitungsmatrix genannt) einer differenzierbaren Funktion ist die Matrix sämtlicher erster partieller Ableitungen. Sie ist eine Darstellungsmatrix, also die… …   Deutsch Wikipedia

  • jacobian — ja·co·bi·an …   English syllables

  • 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 variety — In mathematics, the Jacobian variety of a non singular algebraic curve C of genus g ge; 1 is a particular abelian variety J , of dimension g . The curve C is a subvariety of J , and generates J as a group.Analytically, it can be realized as the… …   Wikipedia

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