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To focus on the proposed fuzzy FEM approach, the scope of this paper is limited to one-dimensional modeling of spatial variability with an assumed exponential autocorrelation function.
The power delay profile is assumed exponential with a delay spread of 1 ms and the baseband sampling time is 1 μ s.
The half-time of the assumed exponential decrease in blood FDG concentration (40, 50 or 60 min) had little influence on these percentages, although, as would be expected, the percentages were slightly higher for faster half-times.
The K-P criterion may overestimate the unstable flow region for the studied steel because the complicated interaction of dynamic precipitation and DRX that occurs during hot compression leads to a significant deviation of flow stress from the assumed exponential dependence on strain rate.
Finally, to fit the IRI distribution, we assumed exponential decay from 〈 F R + ( r ) 〉 to 〈 F R ∞ ( r ) 〉 with a time constant such that the initial slope (when theprobability of any intervening spikes is zero) matches that of an exponential decay to 1with time constant τ F (the initial rate of decrease of F in the absence ofintervening spikes).
Since, the test results confirmed the importance of these two key parameters, the assumed exponential model are as the following alpha_{t} = AT^{B} e^{{Cbeta_{P} }} (3) alpha_{text{m,}} = DT^{E} e^{{Fbeta_{P} }} (4 where A, B, C, D, E, and F are constants that can be obtained from the regression analysis; T denotes temperature, in K; β p denotes prestressing levels.
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The second model assumes exponential shape of these stresses in the constraint layer keeping linear assumption in the cracked layer.
The multiple stage production and inventory system with ADI, however, has been analyzed by simulation or assuming exponential processing time.
Note that we used the Gompertz model that assumes exponential growth of the death rates as a function of age.
It has been shown that, for several popular synthetic mobility models, assuming exponential distributions is indeed a reasonable choice [6, 7].
Parametric service models instead assume exponential or Markovian distributions [86],[87], Pareto distributions to capture heavy-tailed execution times [88], or general distributions with Laplace transforms [89].
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