Sentence examples for analytical integration of from inspiring English sources

The speed of improvement is due to the analytical integration of the integrals involved in the calculation of E [g|Y].

The hydrodynamic model of the TAPINS is formulated using the one-dimensional momentum integral model, which is based on the analytical integration of the momentum equation around the closed loop in the system.

Analytical integration of the (linear) applied free surface pressure provides formulae valid for all times of the simulation.

Analytical integration of the linear part of the prognostic equations in Fourier space is obtained to machine precision.

Organ residence times were computed from the analytical integration of the multi-exponential fit with two exponentials on the decay corrected time activity curves using GraphPad Prism6 software.

The analytical integration of (4) with respect to the magnitude or phase to get the marginal PDF is extremely difficult or even impossible.

However, to date no one has attempted a meta-analytical integration of this research stream.

The data was analyzed by using the MIDAS (Meta-analytical Integration of Diagnostic Accuracy Studies) command in the Stata 12.0 software (Stata Corporation, College Station, TX, USA) except threshold effect, which was analyzed by using Metadisc version 1.4 (Ramón y Cajal Hospital. Madrid, Spain).

According to the real production rate history, a technique of piecewise analytical integration is adopted for obtaining the elements of sensitivity matrix of a linear system with respect to weight coefficients; the linear system is generated by substituting the measured wellbore pressure data and corresponding variable production rate data into the convolution equation containing B-splines.

The suggested pipeline greatly reduces the time, expertise, and error involved in assembling a common vocabulary for diverse data, offering the baseline for the development of analytical integration methodologies and also a common platform for reproducible exploration of the transcriptome.

The results of the analytical integration are employed in BEM code and the obtained analytical expression will be applied to several examples where the exact solution exists.