For transparent soil with fused quartz and mineral oil, the experiments are set up to validate that the transmittance of transparent soil is subjected to exponential decay
due to viewing depth d and refractive index matching ([n.sub.s] - [n.sub.l]).
According to the previous arguments, we conclude that (43) hold for each k [member of] N, which implies that for all subsystems we find the common exponential decay
2--ACF shows a sigmoid curve with exponential decay
Applying the results of Section 3 and the weak lower semi-continuity for the space [H.sup.1], we obtain the exponential decay
Equations (20) and (21) indicate that the time constant of the exponential decay
Among them are tunneling the Quillen metric and analytic torsion for high powers of a holomorphic line bundle, smooth and singular Kahler-Einstein metrics, the logarithmic singularities of the Green functions of the conformal power of the Laplacian, random smooth functions on compact Riemannian manifolds, and the exponential decay
of Laplacian eigenfunctions of planar domains with branches.
Figure 3 depicts the trailing edge of both TDMAT and water concentration profiles compared against a simple exponential decay
The response of [[theta].sub.v] over time t for sampling to 11 days at each distance from CWD was fitted with an exponential decay
function with two parameters given by:
where [W.sub.0] is the initial weight, [W.sub.t] is the weight at time, t, m is the slope of growth curve when t = 0 or the initial specific growth rate, and D is the rate of exponential decay
of the initial specific growth rate m, which measures rate of growth decline.
Keywords: Exponential decay
; discounting; force of mortality; queuing problems