Sentence examples for a rigorous derivation of from inspiring English sources

In [40, 41], progress was made toward a rigorous derivation of Tanaka's capacity formula.

A rigorous derivation of Eq. 53 is beyond the scope of the present paper.

We present a rigorous derivation of the nonlinear Dirac equation from first principles.

A rigorous derivation of the correlation functions for this model is given using the Boson-Fermion correspondence.

A rigorous derivation of a one-field formulation of the incompressible Navier Stokes equations including volume effects is presented.

This study presents a rigorous derivation of a gas interporosity flow equation that accounts for the effects of such pressure-sensitive properties.

There are other phenomenological forms reported in the literature to compute the nonpolar contribution to the transfer free energy and capture the gradual transition from the bilayer to the bulk solvent, however there is no consensus on the shape of the transition function or a rigorous derivation to obtain it [25], [45].

Here, we present a new rigorous derivation of a whole class of multichannel adaptive filtering algorithms in the frequency domain based on a recursive least-squares criterion.

(A more detailed derivation of the model can be found in [27].) Note that there does not currently exist a complete, rigorous derivation of population rate-based models starting from detailed biophysical models of individual neurons, although some significant progress has been made in a series of papers by Buice and Chow on generalized activity equations for theta neurons [35 37].

A more rigorous derivation of Equation 3 than was given in Volz et al. (2009) is provided in Methods.

The model is based on a rigorous derivation from the kinetic level of description (p.d.f. equation) and can be considered as a major extension of the original sectional method introduced by Tambour et al. We obtain a set of conservation equations for each "fluid": a statistical average of all the droplets in given size intervals associated to a discretization of the size phase space.