Sentence examples for by numerically estimating the from inspiring English sources

By numerically estimating the count sample average μ and Σ we calculate in our case D i 2 and compare it with a χ 2 2 -distribution, using the QQ-plot method (see Fig. 3(c)).

At each step of the gradient descent, we had to sample a set of sequences by Gibbs sampling, under the current values of the parameters, so as to numerically estimate the gradient of the log-likelihood.

The chapter also numerically estimates the drag coefficient and Sherwood number of the "stagnant cap model" by directly solving the Navier Stokes, vorticity transfer and convection diffusion equations.

Next, we present an approach to numerically estimate the mean values μ s → v ( k ).

"It is difficult at this stage to numerically estimate the possible damage.

From Eq. (22) we can numerically estimate the speed of VSV infection.

Fast and accurate calculation of (4) is made possible by the use of available analytical probability laws for both r.v.'s Hfs,0 and G; this calculation is computed numerically by estimating the sample mean in (4).

The E.F. of the Raman signal was also numerically estimated by obtaining the local maximum of the electric field intensity as a function of wavelength.

The copolymerization ratio dependence of the intermolecular interaction is also numerically estimated by summing the interaction energy between all atoms.

A two-dimensional finite element-based numerical model (Telemac-2D) was developed and zones of different friction coefficients were identified by comparing numerically estimated levels and currents with that of measured and reported by earlier studies.

Least square error fitting techniques employing a classic monomial and a Forsythe orthogonal polynomial basis are compared by starting from numerically estimated measurements with noise.