Sentence examples for fluctuation function from inspiring English sources
In general, the length of the segment must be chosen to avoid computation error in fluctuation function F (q).
The scaling behaviour of the fluctuation function can be revealed from the variation of F q (s) with the segment size s for different orders on a log log scale that obeys the power law given by {F}_q(s) sim {s}^{h q)} (5).
When the data were randomized, the average slope of the fluctuation function became 0.51, indicative of a random process.
A plot of the corresponding fluctuation function F(n) of the time-series in Figure 1a can be seen in Figure 2 on a log-log plot versus window size n.
It estimates the fluctuation function
If this increase is linear on a log-log plot, then F(n) is said to follow a power law functional form F(n) = A nα, where α is the correlation exponent and A is the amplitude of the power law fluctuation function.
The latters are proportional to the even powers of the phase velocity and consequently the micro-fluctuation functions also depend on the direction of propagation.
The multi-scale kinematics is described through micro-fluctuation functions of the displacement field, which are derived by the solution of a recurrent sequence of cell BVPs and obtained as the superposition of a static and dynamic contribution.
Density fluctuation correlation function C n gives a better representation of the correlations in Metropolis Hastings algorithm, and from the numerical simulations it follows that one should pick one state out of N a = (2 − 8 ) ⋅ 10 4 iterations (depending on the temperature) to assure statistical independence.
We are able to predict the phase between the mass flow rate oscillations and the resulting heat release fluctuations, as function of the operating conditions, for example, the mean equivalence ratio and mass flow rate.
It has been shown that the effective medium acoustic refractive index does not depend on the form of its fluctuations correlation function if the mean scale of inhomogeneities is large in comparison to the wavelength of acoustic waves, and if the Bourret approximation for the effective wave number operator is used.
