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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, ...:

An Operator-Based Approach for the Construction of Closed-Form Solutions to Fractional Differential Equations

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.

Implementation of High Speed Tangent Sigmoid Transfer Function Approximations for Artificial Neural Network Applications on FPGA

'The greatest shortcoming of the human race is our inability to understand the exponential function,' says Albert A.

Techno optimism vs. pessimism

Since a solution of (1.1)-(1.2) asymptotically behaves as an exponential function on the boundary layer, we just use one exponential term.

HIGH-ORDER EXPONENTIALLY FITTED DIFFERENCE SCHEMES FOR SINGULARLY PERTURBED TWO-POINT BOUNDARY VALUE PROBLEMS

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].

From Quantum Unstable Systems to the Decaying Dark Energy: Cosmological Implications

When [mu][lambda] < 0, the exponential function solution associated with the parameter values in Case 1 can be expressed as

Exact Traveling Wave Solutions of Certain Nonlinear Partial Differential Equations Using the (G'/[G.sup.2])-Expansion Method

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.

In Situ Monitoring of the Long-Term Settlement of High-Fill 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].

The Tensor Pade-Type Approximant with Application in Computing Tensor Exponential Function

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

Stability and stabilizability of linear time-delay systems on homogeneous time scales

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.

Harmonic orbital resonances and orbital long-range order of the TRAPPIST-1 exoplanetary system

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].

Mathematical Modelling of Surface Roughness Through Machining Parameters and Machining Time During the Dry Milling Process