Note that the

exponential function exp ([lambda]x), [lambda] [member of] C can be written using basis functions [w.sup.(n).sub.jn], j = 0,1, ...:

To this purpose, various methods for the implementation of its

exponential function such as the LUT, Taylor Series and Elliott approaches have been presented in the literature.

'The greatest shortcoming of the human race is our inability to understand the

exponential function,' says Albert A.

Since a solution of (1.1)-(1.2) asymptotically behaves as an

exponential function on the boundary layer, we just use one exponential term.

For example, the theoretical analysis of quantum decay processes shows that at late times the survival probability of the system considered in its initial state (i.e., the decay law) should tend to zero as t [right arrow] [infinity] much more slowly than any

exponential function of time and that as a function of time it has the inverse power-like form at this regime of time [8,10,11].

When [mu][lambda] < 0, the

exponential function solution associated with the parameter values in Case 1 can be expressed as

Among these four models for the road shoulder, the

exponential function can give the best prediction of the subgrade settlement, with a correlation coefficient [R.sup.2] more than 0.977 for each depth of the subgrade.

Tensor

exponential function is an important function that is widely used, owing to its key role in the solution of tensor differential equations [1-4].

According to the property of the

exponential function, we can divide the discount function into two parts: one part is the traditional discount function (discount rate is constant) and the other part is the uncertainty.

and the initial condition X([t.sub.0]) = I, is a solution called matrix

exponential function of A at [t.sub.0].

The maximum was determined by fitting an

exponential function to the orbital spacing values while changing the a value for the planet 1h in the range given.

The in-process surface roughness models are developed under various cutting conditions by employing the

exponential function with the aid of the multiple regression analysis and the use of the least square method [17].