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Moreover, we do not impose any constraints on the 3D configuration of the points (such as coplanar or non-coplanar constraints).
The configuration of the points is such that we expect that in reduction of dimension only the first dimensions are necessary to reveal the arrangement of the three groups.
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VI]), we do not have any convenient expression of the hyperbolic distance (h_{{mathbb {C}}_{0,1}}(w_1,w_2)) except for special configurations of the points (w_1,w_2) (see, for instance, [17, Lemma 3.10], [18, Lemma 5.1]).
It quantifies the spatial autocorrelation among sampling points and accounts for the spatial configuration of the sampling points around the prediction location (Buchanan and Triantafilis 2009).
We define non-uniform birth rates of multiple marks based on the data energy for each marked point; we define death rates based on both the data energy and the current configuration of the marked points.
Besides the generated path, it is also possible to see the configuration of the control points computed for the curve.
The configuration of the signal points have been designed which coordinates have been calculated basic surface model.
The reasoning procedure results in an optimal configuration of the variation points by selecting the right alternative of OR-decomposed goals and such a configuration is mapped onto corresponding system architecture reconfigurations.
Finite element analysis of large deformation problems is a major challenge in computational geomechanics, due largely to the severe mesh distortion that may occur after updating the spatial configuration of the nodal points using a conventional Updated-Lagrangian approach.
To achieve the optimum configuration of the marked points, we need to minimize the Gibbs energy U x).
The Gibbs energy is minimized by using the Reversible jump Markov chain Monte Carlo (RJMCMC) (Green, 1995) or the birth-and-death dynamics (Descombes et al., 2009) coupled with the traditional simulated annealing (Metropolis et al., 1953) to find the optimal configuration of the marked points.
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