Sentence examples for use an exponential function from inspiring English sources

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

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.

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].

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.

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 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.

The number of roots as a function of root diameter for diameter values between fine-root size and maximum diameter is calculated on the basis of empirical root distribution data using an exponential function (parameter exp_distr) (see Schwarz et al. 2010b).

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).