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 .