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Reduced computational complexity is achieved because the explicit computation of ({bar {P}}_{k|k}) is avoided in the EnKF recursion.
In order to achieve tractability we have to compute valid colorings in bottom-up order without explicit computation of the corresponding restricted admissible sets e t (C ).
At the same time the explicit computation of Ξ ^ H Δ - 1 Ξ ^ can be avoided.
The FT part circumvents the explicit computation of the interface curvature.
In this way, there is no explicit computation of sensitivity coefficients, nor any matrix inversion.
An explicit computation of the integral (36a) with (36b) yields immediately the same expression (35) for z(t).
Similar(5)
Explicit computations of eigenvalues and CPDs for this model are included in Appendix 7.1.
Explicit computations of the infinitesimal deformations and the associated higher cohomology are made.
This equation is coupled with the continuity equation and the momentum equation to describe flame dynamics in complex flows, and the lattice Boltzmann method is employed in the present study as the computational platform, since its feature of explicit computation is highly consistent with the advantage of flame auto-capturing of the present method.
The elliptical trajectories of planets emerge as a property of gravity, not through explicit computation.
Motivated by these studies, this paper aims to construct the Helmert transformation based on quaternion and present a new dual quaternion algorithm for Helmert transformation which has explicit computation steps, no initial value problem of transformation parameters, fast computation and reliable result no matter how big the rotation angles are.
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