Sentence examples for approximation allows us to from inspiring English sources

Such a smooth Gaussian approximation allows us to use a truncated polynomial expansion to accurately approximate the density after the splitting event.

In scattering theory, the first Born approximation allows us to estimate the elements of the scattering matrix S, which connects asymptotic input and output states.

In addition, in the interpretation of the EELS spectra, the 2D approximation allows us to emphasize the importance of propagating MIM and groove GSP modes, which are typically properties of extended waveguide structures.

This approximation allows us to introduce a meshless iso-contouring and classification of the critical points, which are characterised in terms of the differential properties of the meshless approximation and of the geometry of the input surface, as encoded by its first and second fundamental form.

For photon numbers as low as (∼10-20 ∼10-20approximathis approximationallowstely model the effect of optical qusntom shot noise even in laccurately circuits.

We show in Appendix Appendix 2 that introducing that approximation allows us to establish a lower bound for the ergodic capacity (16).

Importantly, using an equilibrium and steady state approximation allowed us to reduce the number of independent model parameters from 45 to 23.

We perform an extrapolation of the magnetic field above the photosphere using a linear force-free-field approximation that allows us to find the connectivity among the four polarities that would be involved in the quadrupolar reconnection event.

A large positive value of ρ indicates a good approximation which allows us to decrease h so that the LM step is closer to the Gauss-Newton step, whereas a small or negative ρ is a poor approximation which requires an increase of damping by twofold in order to get closer to the steepest direction and hence increase chances of faster convergence.

Taking into account that typically, in actual self-assembled QDs, the height is much smaller than the lateral dimensions; one can take an advantage of the adiabatic approximation, which allows us to exclude temporarily the rapid particle motions along z-axis from consideration and, in this way, to reduce the dimensionality of the initial three-dimensional problem.

Use of the approximations (44) allows us to combine the continuity and momentum equations in the usual way and to rewrite the thermal electron and proton pressure in terms of the single-fluid macroscopic variables.