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The sub-cycling/orbit averaging algorithm is shown to produce accurate finite-Larmor-radius effects using large macro-time steps sizes, and numerical damping of high frequency fluctuations can be achieved by formulating the field model in terms of the perturbed flux density.
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In this study he mathematically formulated the field-line resonance as a coupled oscillation of Alfven and fast magnetosonic modes in a dipole field geometry.
We have designed a framework to construct the collapse equation by formulating the modified field equations with the background of f(R,T) theory as well as dynamical equations from the contracted form of Bianchi identities with anisotropic matter configuration.
The dynamics of the viscous fluid is described by the linearised Navier Stokes equations and their solution is pursued analytically by formulating the fluid field variables via potential functions.
We have formulated the light field reconstruction problem as a convex optimization problem.
Iterative majorization, a term coined by Heiser [11], is a minimization method formulated in the field of geometric data representation [10, 18], and can be applied to multidimensional scaling [19, 36].
Thus far, graph null models that take into account the network size and the overall degree distribution have been formulated in the field of protein-protein interaction networks [14], [15].
Informed by the principles of EBM and in an attempt to improve the methodological and reporting quality of economic reviews, similar standards have just recently been formulated in the field of economics by the 'Meta-Analysis of Economics Research Network' (MAER) [ 9].
Dembo and Wang formulated the traction force field from displacement field as a Boussinesq equation 11 and then solved this inverse problem by regularization using Bayesian statistics.
Then, we construct an optimization equation to formulate the VSP wave field separation problem.
We formulate the problem of light field reconstruction as follows: begin{array}rcl@ begin{aligned} arg min_{boldsymbol{c}} { ||{boldsymbol{o}} - {boldsymbol{B}} {boldsymbol{c}}||^{2}_{2} + lambda ||{boldsymbol{c}}||_{1} + iota_{{mathcal{V}}}({boldsymbol{Y}} {boldsymbol{c}}) }, end{aligned} end{array} (8).
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