Sentence examples for using an exponential function from inspiring English sources

The sub-threshold model is modified using an exponential function to make the model cover all regimes of OTFT operation.

The FIDs were weighted using an exponential function with a 0.5-Hz line-broadening factor prior to Fourier transformation.

By using an exponential function e q ( x ), Hegazi and Mansour defined q-Bernoulli polynomials as follows: ∑ n = 0 ∞ B n, q ( x ) t n [ n ] q !

In the period from April 2009 to October 2014, we removed the coseismic offsets resulting from the 2011 M9 Tohoku earthquake and then estimated and removed postseismic deformation using an exponential function.

In the second core model, we forecast the trajectory for each age-specific ROMI ρ x,t using an exponential function with log-transformed variables and with normally distributed deviances: {rho}_{x,t}sim Nleft( exp left({beta}_{1,x}+{beta}_{2,x} log (t)right),{sigma}^2right) (12).

In general, a probability distribution function and expected value of a random variable on a time scale can be defined as follows: By using an exponential function on time scales, we can define an exponential probability density function in a general case and we can define a moment generating function by using Laplace transformations on time scales.

We design a weak equilibrium operator to fit the mapping f in (18), which uses an exponential function and a non-uniform mutation operator [25].

We use an exponential function as the utility function, i.e., U x)=−a x,a∈ 0,1), for its upward concavity and monotonically increasing feature in the whole real set.

Here we use an exponential function to approximate the transition probabilities that have the above spatial property.

We instead used an exponential function for normalization because it produced qualitatively indistinguishable results with one fewer free parameter (explaining a 94.9% versus 95.3% of the variance in the mean responses of neurons; see below).

We use an exponential function to model the loss rate of neofunctionlization, i.e., μ t  =  αe−  tα for 0 <  α < 1.