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In this case, our problem can be reformulated using a matrix representation.
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These models were reformulated using a pseudo-transient continuation (PTC) approach to improve their robustness.
The Wigner Liouville equation is reformulated using a spectral decomposition of the classical force field instead of the potential energy.
In addition, the simulation-optimization program is reformulated using a penalty function, resulting in less optimization variables and better convergence of the simulation program.
The nonlinear governing equations are reformulated using a stress function and a boundary layer function, and solved by employing a multi-parameter perturbation technique and Fourier series method.
The problem of clustering can now be reformulated using the similarity graph: we want to find a partition of the graph such that there is less Granger causality between different groups and more Granger causality within the group.
Then, the vector a(θ k ) in (3) and (4) can be reformulated using the estimated angles ( θ ^ k ) for k = 1 → K.
Therefore, the skin-pixel classification rule can be reformulated using Eq. (4).
The Maxwell equations may be reformulated using the covariant and contravariant basis vectors (D'haeseleer et al., 1991).
In the AIM database, each module can be reformulated using the PGA method.
The governing equations for the cable motion are reformulated using Euler parameters and we employ a nonlinear stress strain relation.
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CEO of Professional Science Editing for Scientists @ prosciediting.com