Exact(5)
Due to the inherent complexity in determining the gradient of the cost-to-go function, we estimate it by Monte Carlo simulation.
As pointed out by Pillet and Virieux (2007), determining the gradient of the velocity signal cannot always be carried out accurately since a data length of 3 min is sometimes too short for a reliable estimation of the gradient, and the maximum pre-event time of 15 s for KiK-net acceleration data may be insufficient for baseline estimation.
Our results show that the operating ranges of both D and ω values in our main model are constrained to satisfy the criterion of λ (Fig. S2E, H), indicating that, as expected, these parameters are particularly important for determining the gradient shape.
Determining the gradient for 12 parameter model was outside the scope of this manuscript.
De Castro et al. [ 38] and Borja et al. [ 41] have developed a new and interesting method based on OCT measurements for determining the gradient index (GRIN) distribution of porcine lenses and human lenses (in vitro).
Similar(55)
A new method is used to determine the gradient matrix.
The method is validated for a nongraded stainless steel first and then extended to determine the gradient in flow curves of plastically graded, case-hardened M50 NiL material, a widely used bearing steel.
We describe an efficient iterative solution method for the Stefan problem formulated in this way which uses shape differentiation and adjoint equations to determine the gradient of the cost functional.
The key aspect of our model is to incorporate the mobilities not in the phase field energy (which is conventionally the case) but in the metric which determines the gradient flow.
The mean relative concentrations of the two compartments were subtracted to determine the gradient along each axis.
The Fourier expansion of band energies is carried out to determine the gradient along the energy bands to obtain the group velocities.
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