Sentence examples for group integral from inspiring English sources

Each generalized-ray group integral containing Kth power of reverberation matrix R represents the set of K-times reflections and refractions of source waves arriving at receivers in the multilayered solid, which was computed by fast inverse Laplace transform (FILT) and fast Fourier transform (FFT) algorithms.

The political action committee National Republican Trust, a group integral to Brown's election in 2010, vowed to draft a challenger for Brown but were unable to find one.

Adopting reverberation matrix formulation, Laplace Fourier domain solutions of elastic waves in the multilayered solid are expanded into the sum of a series of generalized-ray group integrals.

In this paper, we expand each of generalized-ray group integrals into the sum of a series of generalized-ray integrals, each of which is accurately evaluated by Cagniard De Hoop method in the theory of generalized ray.

TGM conversion to MA-TGM was determined by the ratio of the peaks from the hydrogens on the vinyl groups (5.63 5.85 ppm (integral I4) and 6.08 6.29 ppm (integral I5)) to the methyl groups (integral I1) of the NiPAAm monomer that was incorporated into the TGM.

For investigation of the variability of metabolite concentrations within groups, integrals of baseline separated metabolites were determined using Topspin 2.1 (Bruker Biospin, Faellanden, Switzerland).

Lobbying by Mr. O'Gorman's group was integral to setting up the Ferns inquiry.

This group was integral to the emergence and proliferation of literary criticism during this period.

He lost the ability to forget himself in the joyous group worship integral to Hasidic faith, because he saw the desires and delusions that can lie beneath any euphoric experience.

Aquaporins (a group of integral membrane proteins) are water channels that not only selectively allow water molecules to flow in and out of the tissue but also reject certain substances in order to maintain the equilibrium.

The group was integral in spreading the now debunked story of Syrian teenagers assaulting their classmates and organized a protest outside of high school in Red Deer.