Sentence examples for using the exponential decay from inspiring English sources

Due to the fact that the power law cannot be used to model all the physical problems, Caputo and Fabrizio [40] have suggested an alternative concept of differentiation using the exponential decay as kernel instead of the power law.

Using the exponential decay model [ 30], we extrapolated enrollment levels of PBB over an average of 20.5 years (median: 20.6; 25th %: 20.3; 75th %: 20.9; range: 10.3 22.4; in years) to estimate PBB levels at the time of the MFHS interview.

Volumes are less than, but of the same order of magnitude, as those predicted using the exponential decay integration methods of Pyle (1989) and Fierstein and Nathenson (1992) (Table  3).

Therefore, we used the exponential decay approximation (i.e. Equations (1- 3) here.

was selected to fit the data using the double exponential decay equation: where y is % NDS, x is the time, y 0 is the y-value that the model asymptotically approaches, S 1 and S 2 are the concentrations of the two different substrate components, and k 1 and k 2 are the reaction rate constants for the decay of the two different components.

The data were analyzed using the triple exponential decay model, and the results are summarized in Table 2. Three distinct components were resolved: a fast component of ∼270 ps and two nanosecond components with the lifetimes of 2.43 and 4.6 ns in water.

XLfit (IDBS, UK) was used to calculate the exponential decay and consequently the rate constant (k) from the ratio of peak area of test compound to internal standard at each time point.

XLfit (IDBS, United Kingdom) was used to calculate the exponential decay and consequently the rate constant (k) from the ratio of peak area of test compound to internal standard at each time point.

All these data were used to model the exponential decay of the FDR with respect to increasing peak height and peak width, therefore enabling extrapolation of FDR values for higher and broader peaks.

A generalized autoregressive covariance structure was used to account for the exponential decay of the correlation function as the interval between the measurements increases (Verbeke and Molenberghs 1997).

We developed linear gradients using the steepest portion of the exponential decay curves typically found in the literature, as the tails of the decay functions were very sensitive to local parameters.