Sentence examples for Multiple approximations from inspiring English sources

Moreover, using the truncated moment equations to estimate the mean and variance involves multiple approximations: First, the function p (x i -1 on the ri -1-hand side on (55) is replaced by a power-law functhen (see Figure 5).

Multiple linear approximations of the model (for different set-points) are used for designing optimal multivariable integral feedback regulators.

Many localization methods for near-field cases have been proposed in the literature, such as maximum likelihood (ML), covariance approximation, multiple signal estimation (MUSIC), and estimation of signal parameters via rotational invariance techniques (ESPRIT) [16].

A multiple scattering approximation (MSA) model was proposed as a means to represent canopy (image) reflectance spectra as a nonlinear combination of subcanopy (field) reflectance spectra.

Due to the multiple temperature approximation, the second viscosity coefficient in the Navier Stokes equations is replaced by the temperature relaxation term.

He used multiple scale approximation to express the equation of motion in a nonlinear homogeneous integrodifferential form and then related the active force function to the local wavenumber which is a function of the BM displacement.

This work presents two practical methods to arrive at near optimal tolls – single point approximation methods and multiple point inflation/deflation approximation methods – and compares their performance in terms of computational efficiency and proximity to the optimal solution with two other commonly used meta-heuristics – Genetic Algorithm and Adaptive Simulated Annealing.

The key findings include two fourth-order multiple discrete image approximations in terms of u = λa to the reaction field induced by the ionic solvent, provided that u = λa < 1 where λ is the inverse Debye screening length of the ionic solvent and a is the radius of the dielectric sphere.

In a scenario where a tag SNP captures the causal variant in a consistent manner across multiple populations, this approximation would not be expected to change the result.

By measuring anterior and posterior lens radii of curvatures, and lens thickness from multiple angles, an approximation of the optical axis of the lens can be identified by laser imaging systems and used for centration of the capsulotomy.

Extensions of the PPA and similar approximations to multiple species, and to cohorts in uneven-aged forests, can produce whole-stand level equations suitable for complex stands.