Sentence examples for linear fluctuations from inspiring English sources

Requisite spectra of fluctuation products are formed from spectra of linear fluctuations as though the random field had a joint normal distribution.

As mentioned in Section 2.1, it is crucial to separate both models through a prior distribution that distinguishes clearly the exponential growth from a linear fluctuation.

Non-linear fluctuations in blood pressure similar to those observed in our trial were seen over an 8-week period by Allen RR et al. [ 15].

Since the measured vocal features, in general, showed non-linear fluctuation according to age, a process to reduce the effect of age was required.

Beta dependence of the peak time (or saturation time) t L of the energy partition for the linear mode fluctuations (top panel) and the time difference between the peak of partition and that of broadening Δ t (bottom panel).

At a higher value of beta (β i=0.2), the order is reversed and the broadening peak time arrives approximately 50 gyroperiods after the saturation of linear-mode fluctuations.

The phase speed diagram indicates that the coherent wave components contain both linear-mode fluctuations and nonlinear ones appearing as sideband or nonlinear waves.

The difference in the two times (one is the saturation time in linear-mode fluctuations and the other is the peak time in broadening) is of the order of 50 gyroperiods.

The saturation or peak times are evaluated by averaging those of the three wave modes and are plotted as functions of beta in the top panel of Figure 5. Though only three data points are used in this panel, the delay of saturation time for the linear-mode fluctuations at higher values of beta can be clearly seen.

At lower values of beta (β i=0.05 and β i=0.1), the broadening saturates first and then the linear-mode fluctuation saturates by about 50 gyroperiods.

We assumed a linear relationship of fluctuations among the P-wave velocity, S-wave velocity, and the density from Birch's law (Birch 1961) for medium model B, whereas density fluctuations was not allowed in medium model C.