Sentence examples for this approximation allowed from inspiring English sources

This approximation allowed Newton to estimate the rate of precession for arbitrary central forces.

This approximation allows a flexible specification of the relationships between the initial values and observed and unobserved individual characteristics.

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

It is shown that this approximation allows to analyze the optical properties of the Hg3X2Y2 (X = S, Se, Te; Y = F, Cl, Br, I) crystals.

This approximation allows to construct the horizontal lift of the Ornstein Uhlenbeck process on the path space through the Markovian connection.

This approximation allows optimal inclusion of a priori information into retrieval procedure, thus ensuring the most effective regularization of the problem.

Using this approximation allows to reduce the dimensionality of the search to two dimensions, which means a smaller computational cost and time because we only search for final heading angle and final time.

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 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.

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).