Jacobian


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Jacobian

(dʒəˈkəʊbɪən) or

Jacobian determinant

n
(Mathematics) maths a function from n equations in n variables whose value at any point is the n x n determinant of the partial derivatives of those equations evaluated at that point
[named after Karl Gustav Jacob Jacobi]
Translations
jacobien
References in periodicals archive ?
Figure 12 shows the temperature Jacobian from the FY-4A GIIRS longwave IR band, water vapor mixing ratio Jacobian (Li 1994) from the midwave IR band, and ozone mixing ratio Jacobian from the longwave IR band, along with a BT spectrum and noise equivalent delta temperatures [NeDT (NEAT) at 250, 280, and 300 K] for a U.
In the static variant, the plant model is estimated as a matrix of partial derivatives or Jacobian between the change in actuator inputs and the change in engine outputs.
Raffield continues his exploration of political, constitutional, and juridical developments in Elizabethan and Jacobian England and their reflection in Shakespeare's plays.
v) The Jacobian of the change of variables [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII].
Green building developers--buyers system Jacobian matrix results in Table 2.
2]) is an infinitesimal of higher order in the neighbourhood of the equilibrium, and J(p) is the Jacobian matrix of f(X, p) at the equilibrium X = [X.
In the paper, it is noticed, that in some cases of LFCs, the Jacobian matrix (utilized in the calculations) can be singular or ill-conditioned.
Van Teal debuted a cobalt acrylic lighting collection in a Jacobian silver finish.
This was carried out using the element Jacobian tool (within the software), which gave the following element Jacobian results: minimum Jacobian = 0.
where X is the nodal coordinate vector, D is a unit vector normal to the shell midsurface, [DELTA]d is the deviation of D, [xi] and [eta] are isoparametric coordinates with the value {[xi], [eta]} [member of] [-1, 1], J is the Jacobian matrix with local coordinates to isoparametric coordinates and local coordinates are evaluated with the center of the elements, and A, [xi], C, and D are the middle nodes of relevant edges of the elements [33].
The ensemble was also used to improve the stability of the NN Jacobian [16], which is used below for a sensitivity study.