Sentence examples for by replacing the exponential from inspiring English sources

A legitimate extension of the previous derivative is then proposed by replacing the exponential kernel with a stretched exponential kernel.

The original model is slightly modified by replacing the stretched exponential by a relaxation function based on a simplified cooperative model emulating the commonly observed linear variation of the relaxing quantity with logarithmic time.

Another lower bound can be derived replacing the exponential functions of (16) by their equivalent power series ([22], (1.211)) and applying ([22], (3.211)).

By replacing the medium during the exponential growth phase, the population in the bioreactor would be forced to adapt to a new load of inhibitors when the state of the cells generally gives a low tolerance towards stress [ 27, 28].

The first example is Weibull-Cauchy{exponential} distribution which can be obtained by replacing the random variable T in (9) with Weibull(c, γ) random variable.

It can be obtained by replacing in S f) the imaginary exponential (e^{2pi if}) by z.

lp-ntPET replaces the fixed exponential term h(t) by a predefined library of possible response functions h i(t).

In the proposed algorithm, a piecewise function is designed as the gravitational constant function to replace the traditional exponential equation.

In other words, the conclusion that P < 1 implies a small mean effect of deleterious mutations is obtained by replacing distributions by their means, something that is exceedingly dangerous for distributions with an exponential tail.

A single parameter representing an exponential kernel replaces the two weight parameters (w 1 and w 2).

And while the exponential growth of online readership attracted a rising proportion of advertising revenue, it did not begin to replace the hole in newspaper finances left by the collapse of print – and particularly classified – advertising.