Sentence examples for intensity of random from inspiring English sources

This can be achieved by adding a very low intensity of random noise to the harmonic excitation force.

The size of (R_{i}) ((i=1,ldots,4)) depends on both nutrient and contaminant concentrations as well as on the intensity of random disturbances.

From Theorem 4.2, if the intensity of random disturbance is sufficiently large or (R^<1) and (sigma_{12}leqsqrt{a_{21}p}), the predator population will be extinct.

From Theorem 4.1, when (R_{1}>1,a_{11}q>a_{12}p) and the intensity of random disturbance is sufficiently small, system (2) will persistence in mean.

The reason for these results is that a sufficient intensity of random diffusion can better balance the overmatching of resources or even a net loss of individuals at the boundary.

At the same time, the effects of intensity of random frequency on the mean square voltage are further discussed, which show that the square voltage is in positive proportion to the size of the chaotic region.

I max and I min are the maximum and minimum intensities of random lasers detected from the detection polarizer.

For in vivo staining, tumours were cut in 6 -μm sections using a cryostat microtome, mounted on gelatinised slides, processed and analysed by determining the mean pixels intensities of random microscopic fields by using the ImageJ software (NIH).

These conditions are applied to the stability problem for a viscoelastic bar lying on an elastic foundation and driven by random compressive forces, and upper bounds for the intensity of the random load are calculated.

In the case of parametric principal resonance, the stochastic jump is observed for the first mode, which indicates that the stationary joint probability density concentrates at the non-trivial solution branch when the random excitation is small, but with the increase of intensity of the random excitation, the probability of the trivial steady-state solution will become larger.

Sensitivity analyses with respect to the intensity of the random loads, the mass ratio and the main parameters of the primary structure are presented.