These distributions have been studied by some authors in recent years, as for example, Mudholkar and Srivastava (1993) for exponentiated Weibull, Gupta and Kundu (1999) for exponentiated

exponential, among others.

Caption: FIGURE 5: (a) Stem biomass per hectare in 72 months per vital area of the treatments and graphical representation of the

Exponential model adjusted; (b) Distribution of the residues for the stem biomass per hectare based on the spacing adjusted with the

Exponential model, at 72 months; (c) Stem biomass per hectare in 72 months per vital area of the treatments and graphical representation of the Hyperbolic model adjusted; (d) Distribution of the residues for the stem biomass per hectare based on the spacing adjusted with the Hyperbolic model, at 72 months.

Later, Jiang presented two nonlinear companding techniques, namely

exponential companding (EC) [16] and error companding (ErC) [18], to overcome the problem of increasing average power and to have efficient PAPR reduction.

The following section discusses weak

exponentials, and describes a condition for when weak

exponentials are given by tensor.

In [14], the autocorrelation function (ACF) of a wide-sense stationary (WSS) or short-range dependent process is modeled as a decaying

exponential.

A biexponential fit deviates systematically from the experimental data, but a triexponential fit is sufficiently flexible to describe adequately the data; further

exponentials result in ample uncertainties.

In their implementation, the first integral is roughly approximated by the left-rectangle numerical integration formula, and the matrix

exponentials are computed by a Crank-Nicolson type method.

Prony method is a technique for modeling time series data as a linear combination of

exponentials and it extends Fourier analysis.

and the subsequent developments of the concepts of geometry, the measure of time, mathematical operations (arithmetic, algebraic,

exponentials etc.

It allows execution of calculations with very long numbers, displaying them correctly without incomprehensible

exponentials.

so that frequencies are bounded by

exponentials with different arguments, in contrast to equation (6).

In this case the rise and decay curves are explained with the help of multiple component

exponentials.