Sentence examples for double integrations from inspiring English sources

In this paper we also show that many complicated expressions for BER involving integrations and double integrations of lognormal and lognormal-related composite functions can be efficiently and accurately approximated in closed form using Gauss-Hermite quadrature polynomials.

Fig. 10 Displacement seismograms at KMMH16 and IIS Mashiki Town Hall as calculated by double integrations from accelerograms without any filtering; black broken lines indicate the estimated ramp functions to extract the fling-step like motions, while the gray dotted lines on the two horizontal component graphs are the values in the perpendicular direction, for comparison.

Nevertheless, because double integrations would be detrimental to the strategy, appropriate restriction analysis, or preferably sequencing with transposon-specific outwards-reading primers, should be used to ensure single-copy transposon integration.

They are useful for clarifying the R − S relation, where we can transform the double integrations into simple ones.

We then repeated this experiment to compare GFPuv expression from double integrations in CVD 910 2G to single integration expression levels in CVD 910-GG and CVD 910-HG.

The basic rule of Dirac's delta, i.e., ∫ I δ (y ) φ (y ) d y = φ (0 ) reduces the double integrations of equations (11) and (12) to simple integrations which involve only Gaussian functions.

The integral intensities were calculated by double integration of the first-derivative EPR spectra.

As there is no increase in high-spin signal during annealing, the sum of these three is constant, and the fractional population of an intermediate is determined as the ratio of the double integration of its simulated EPR signal to the total double integral of the three contributors.

Further analysis revealed that for all D. ananassae we examined with the integrated wAna genomes, the majority of the integrated wAna genomic regions is represented in at least two copies suggesting a double integration or single integration followed by an integrated genome duplication.

Theoretically, attitude can be calculated by integrating the angular velocity, velocity can be calculated by integrating the acceleration, and position can be calculated by the double integration of the acceleration.

Quantitation was done using double integration of spectra.