Sentence examples for and computed by using from inspiring English sources

We have programmed in Python and computed by using the novel collection of open-source packages, developed under FEniCS project (Logg et al. 2011).

All weights were converted into a function (Table 1) and computed by using @Risk software version 5.5 (Palisade Corporation, Ithaca, NY, USA).

These measures are denoted by a subscript 1 and are computed by using a 1 = (a / 3 ) and b 1 = (b / 3 ) under the assumption of constant search and switching rates over the three year period.

Migration and rotation were calculated along and around the horizontal (x-), longitudinal (y-), and sagittal (z-) axes on the basis of signed values, and were computed by using UmRSA Digital Measure version 5.0 software (RSA Biomedical).

(ii) is node A's individual key and is computed by using formula (7) below; is the pairwise key that is shared by two neighboring nodes A and and is periodically updated by them.

Histograms illustrating the distribution laws for the second cepstral and bicepstral coefficients computed by using (5) and (4), respectively, are represented in Figure 5.

Maps of FA and MD were computed by using dTV II and VOLUME-ONE 1.72, developed by Masutani et al. [ 24] (University of Tokyo; diffusion tensor visualiser available at http://www.volume-one.org/), Diffusion tensors were computed, and fibre tracts were created by using interpolation along the z-axis to obtain data (voxel size 2.0 × 2.0 × 3.0 mm).

The chemometric calibrations FWT PCR, FWT PLS and FWT ANN were computed by using the relationship between the coefficients provided by FWT method and the concentration data from calibration set.

The minimum cost for all and can be computed by using the recursive formula given by (27).

Note that the Q x) function given in the expressions is a well-known function and can be computed by using lookup tables or standard numerical packages.

The equilibrium equations are obtained by using the principle of virtual displacements, and results are computed by using Navier's technique.