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Estimating the Probability Density Function (PDF) of the performance function is a direct way for structural reliability analysis, and the failure probability can be easily obtained by integration in the failure domain.
In principle, it is possible to estimate the single-scattering terms both by integration in the space-time domain and the inverse Fourier-Laplace transform in the wavenumber-frequency domain.
However, concerning P-to-S and S-to-P single conversion scatterings, we have so far only succeeded in deriving the analytical expressions by integration in the space-time domain using elliptical coordinates (e.g. page 46 in Sato and Fehler, 1998; page 1195 in Morse and Feshbach, 1953).
Such intronless class/family of genes can evolve rapidly by gene duplication or reverse transcription followed by integration in the genome.
Most known AICEs subsist in their host genome by integration in the 3' end of a tRNA gene by site-specific recombination between two short identical sequences (att identity segments) within the attachment sites located on the genome (attB) and the AICE (attP), respectively [ 69].
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The distribution of the different forms of hydrogen was calculated by integration in three regions of the spectrum (0.5 to 3 ppm, 3 to 4.2 ppm, and 6 to 8 ppm) and expressed as a percentage of the total area of each spectrum.
Transformation by integration in Aspergillus nidulans.
The high XI activity was explained by integration into the genome in multiple copies of the plasmid carrying the XylA gene [ 51].
By using integration in the frequency domain and averaging or max-holding in the time domain, a common metric is derived from various raw spectra.
We calculated the displacement waveforms from the observed acceleration records by double integration in the time domain with the appropriate baseline correction but did not perform any filtering of these data.
The values were determined by peak integration in the spectra of ethanolic cell extracts.
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