Sentence examples for this approximation is due from inspiring English sources

Noting that this approximation is due to the idea of Sanikidze's Approximate solution of singular integral equations in the case of closed contours of integrations.

The algorithm we use to effect this approximation is due to Sinkhorn [27, 28], who proved that given a matrix with strictly positive elements, there exist diagonal matrices R = diag(r) and C = diag(c) such that w ^ = R w C. is doubly stochastic.

where the approximation is due to the use of γ ̂ ̄ j, i CP in (31) instead of γ ̂ j, i CP in (30).

Much of the advance in the theory of trigonometric approximation is due to the periodicity of the functions.

The slow drop of the magnetization as compared to the Weiss mean field approximation is due to low temperature approximation and the ignorance of the strong spin fluctuation.

The approximation is due to that CII represents the channel capacity in the case that the cognitive users mistakenly detect the appearance of the spectrum hole when the primary users are communicating.

The fourth cluster, indicated with a dashed blue ellipse, is an example where this approximation is not valid due to the position and orientation of the cluster points.

The inaccuracy shown by the TS approach for mean AoA and AS estimation is due to the approximation of the AS angular distribution while our algorithm considers an exact expression.

The effective diffusion coefficients of ATP and ADP that are obtained in this approximation are different due to the different interaction of ATP and ADP with the enzymes that belong to the pathway.

A first conclusion, therefore, is that the error on the parameter error vector covariance matrix due to this approximation is of order ({mathcal {O}}(mu ^{2})).

In a first instance, the error due to this approximation is analytically calculated in the case of beams and the low-pass filtering effect of the finite difference schemes in the wavenumber domain is shown.