Sentence examples for approximation allowed us to from inspiring English sources

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

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).

This approximation allows us to consider the case τ ε =ε δ →0 and, moreover, to choose δ close to 2. The relations between the choice of δ and the multi-step MLE-processes are the following.

This approximation allows us to manage the equations analytically and is good enough to see phenomena with a time-scale longer than a Gyr (see Tinsley, 1980 for more details).

This approximation allows us to obtain the exciton energy when it is confined to a spherical volume of the crystallite in terms of electron and hole effective masses, and it can be expressed as E = E G + ℏ 2 π 2 8 R 2 m h + m e m e m h − 1.786 e 2 4 π ϵ 0 ϵ r R 2 (2).

Such an approximation allows us to identify the comparative impacts of different HA sequences on receptor binding while keeping other factors consistent.