Sentence examples for by utilizing the formula from inspiring English sources

The detection limit was calculated by utilizing the formula.

We consider the discrete cloud system of equation (4), by utilizing the formula D^{nu}_{t} top_{lambda} wp) ( triangleLambda,t)= sum_{k=1}^{M} omega( triangle_{k} Lambda) top_{lambda} wp) (triangle_{k} Lambda,t), (16) where △Λ is the difference operator that the capacity changes in the cloud system and (top_{lambda} wp)) is the fractional Tsallis entropy of order (lambdaneq1).

For this analysis, the final SES index was obtained averaging the components retained by utilizing the formula [C1 + C2+ (−1*C2+]/3.

(4.15) By utilizing the Green formula, we obtain (4.12) but in (H^{-1} ( Omega ) ).

In the meantime, from the other bilinear form, we get another bilinear Bäcklund transformation and exact solutions by utilizing the exchange formulas for Hirota's bilinear operators.

Second, based on the other bilinear form, we would like to construct another bilinear Bäcklund transformation and exact solutions of equation (1.1) by utilizing the exchange formulas for Hirota's bilinear operators.

The percent viability was then calculated utilizing the formula (value of sample/mean value of control cells only).

Hereinafter, we further derive the relationship of the FAC signals (Figure 4b,f) and the aliasing cancelation signals (Figure 5b,f) by utilizing the specific relation between the formulae of MDCT and DCT-IV.

The accuracy order of quadrature formulas can be improved by utilizing the Richardson extrapolation method to take the terms away.

Secondly, a general explicit formula is derived to establish the properties of Hopf bifurcation by utilizing the method of multiple scales.

Phosphole-substituted phosphaalkenes (PPAs) of the general formula Mes*P=C CH3)–(C4H2PhPh))–R 5 a– c (Mes*=2,4,6- tBu3Ph; R=2-pyridyl (a), 2-thienyl (b), phenyl (c)) have been prepared from octa-1,7-diyne-substituted phosphaalkenes by utilizing the Fagan Nugent route.