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With these observations, the annual streamflow network may be considered as a combination of exponential distribution and power-law distribution, with clear dependence on the correlation threshold level.
This relation, which contains a combination of exponential, logarithmic and polynomial terms, was able to improve the predictions of the PR EoS and reduce the errors with respect to experimental data.
We show that a plot of −tdV/dt is an approximation to the spectrum of relaxation times that characterize the decay of V as a combination of exponential decays, and show how well such a plot can resolve different time constants.
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In Section 3, we derive some explicit expressions when the claim size density is a combination of exponentials.
Some explicit results are given when the claim size density is a combination of exponentials, and some numerical results are also given.
Finally, we consider the case when (f_{X}) is a combination of exponentials with the following setting: f_{X}(x)=0.7 e^{-x}+0.24 e^{-0.8x}.
In this section, we assume that the individual claim size is distributed as a combination of exponentials with density f_{X}(x)=sum_{i=1}^{m} eta_{i} mu_{i} e^{-mu_{i}x},quad x>0, (3.1) where (mu_{1},ldots, mu_{m}>0), (eta_{1}, ldots, eta_{m}) are distinct constants such that (sum_{i=1}^{m}eta_{i}=1).
Since neither of these conditions is fulfilled by the investigated atmospheric pressure plasma jet a combination of the exponential and the linear method was used.
The histogram of pore surface area exhibits a bimodal distribution, which is a combination of an exponential decay curve with a log-normal distribution.
If an amplitude level corresponds to two kinetic states (see the model diagram in Figure 1a), the dwell time distribution is a combination of two exponential modes (see Supporting Information).
Prony's method is a signal processing technique that is used to analyze the transient states in a power system by fitting a linear combination of exponential terms to a signal as shown in (5) [32].
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