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The same situation occurs for the large intensities (e.g., z ij > 128) when decreasing the exposure time.
Theorems 3.1 and 3.2 show that the large intensities of noises lead to the extinction of both species while system (1.2) is stochastically permanent provided that the intensities of noises are suitable small.
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Consequently, by keeping the large intensity gradients, the edge regions can preserve the sharpness.
This method can work well despite the large intensity variance in the DIC microscope images of different organisms.
The large intensity coefficients are represented by light pixels, while small coefficients are represented by dark pixels.
Therefore, the large intensity of this peak indicates the a two dimensional connectivity and provides the evidence of the presence of –Ti O Ti– chainlike structure with a shortening Ti O bond distance.
From the theoretical analysis and simulations we can find that if the intensity of the white noise or impulsive input is small, then the microorganisms can still be persistent just as in the deterministic system, whereas for the large intensity of the white noise or impulsive input, microorganisms may become extinct.
On the other hand, beside the large intensity fluctuations small changes in the depth position of the cone reflections at the ETPR layer can be observed.
The larger intensities at higher latitudes suggest thinner (lower opacity) overlying clouds.
Comparison of panel c and d of Figure 3 reveals also more subtle differences between the profiles at positions which refer to WC pairings in both, the PM-GG (panel c) and PM-G'G (panel d) duplexes: Firstly, triple TTT provide the largest intensities for the former duplexes whereas triple CCC become largest in PM-G'G duplexes.
With larger intensities, the estimated background mean is simply subtracted because the impact of background noise is minor for the larger intensities.
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