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Besides, there are several important areas for future work, such as finding analytical derivations for the mixing rate and the connectivity fluctuation parameter.
This paper presents the developments and applications of a turbulence depth-averaged (depth-integrated) two-equation closure model, symbolised by k̃ w̃ model (k̃: depth-averaged turbulent kinetic energy parameter; w̃: depth-averaged vorticity fluctuation parameter of turbulence).
The method of regular perturbation is applied to obtain the weak-noise expansions of the moment Lyapunov exponent, Lyapunov exponent, and stability index in terms of the small fluctuation parameter.
The method of regular perturbation is applied to obtain weak noise expansions of the moment Lyapunov exponent, Lyapunov exponent, and stability index in terms of the small fluctuation parameter.
The aim of this article is to show that the Monge Kantorovich problem is the limit, when a fluctuation parameter tends down to zero, of a sequence of entropy minimization problems, the so-called Schrödinger problems.
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The bubble behaviors including bubble frequency and bubble numbers, combined with particle fluctuation parameters are analyzed in both charged and uncharged system.
For random fluctuation parameters, we set ε = 0.06 (fractional velocity fluctuation), a x = 600 m (horizontal correlation length), and a z = 200 m (vertical correlation length), based on field measurements by Holliger and Levander (1992).
The intraclass correlation coefficients (ICCs) of maximum, minimum, and fluctuation parameters were computed for IOP, SBP/DBP, and MOPP.
As a matter of fact, population systems are often subject to environmental noise, i.e., due to environmental fluctuations, parameters involved in population models are not absolute constants, and they may fluctuate around some average values.
As a matter of fact, due to environmental fluctuations, parameters involved in population models are not absolute constants.
The estimation of the rate parameters requires tackling with the mathematical difficulty of data fluctuation and parameter redundancy in this multi-level time hierarchy (see methods).
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