Sentence examples for approximations derived from from inspiring English sources

Potential limitations of the current extrapolation method including possible non-linearity, and the validity of some approximations derived from solution chemistry, are reviewed and explored.

In order to determine the deviations, we derive eight equations from the relationship between the eccentricities obtained from the measured circular trajectories and the approximations derived from the mathematical model based on the simulation.

We then combine the approximations derived from different particle filters to give the final particle representation of the target density.

In this work, we present a generalization of optimality conditions to strongly convex functions of order γ with the help of first- and second-order approximations derived from (Optimization 40(3):2011246, 2011) and we study their characterization.

However, the linear approximations derived from Equation 3 in Bauch et al. (2009) [ 12] are considered by the respective authors to be more conservative than a full dynamic assessment.

Thus, using the linear approximations derived from Equation 3 in Bauch et al. (2009) [ 12] for both age groups would provide a conservative estimate of herd effect, while using the linear functions fitted to data from this structured literature review would provide a less conservative estimate of herd effect.

Each relationship is an approximation derived from three simple models for linear damping.

The electrical conductivity was calculated using the approximation (derived from [30]).

Since the particle-averaged spatial derivative approximations are derived from a particle smoothing function in which the neighboring particles only contribute to the specific volume, while maintaining mass conservation, the new method handles density discontinuities across phase interfaces naturally.

In this reference the particle-averaged spatial derivative approximations are derived from a particle smoothing function in which the neighboring particles only contribute to the specific volume; this method handles density discontinuities across phase interfaces naturally.

The finite element approximation is derived from a variational statement of the problem based on Hamilton's principle.