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Based on Eq. (4) we begin this analysis by considering the PDFs of the quantized speckle patterns for the following four types of speckle pattern: fully developed speckle with and without photon noise, and Gamma distributed speckle with and without photon noise.
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To generate the Gamma distributed speckle pattern, three fully developed speckle patterns were merged so that M was equal to three.
For n = 6 and larger, the binary pattern is fully developed and closely matches the experimentally observed pattern for IL-2 (Fig. 1b and 1c).
When the speckle pattern is "fully developed" and with no noise present, the PDF of a non-quantized fully developed speckle pattern is a negative exponential function [ 10] due to the summation of the statistically normally distributed random phasors of the detected photons (ignoring the effect of finite pixel size for now).
Still, Striedter argues that the scaling law describes a pattern among fully developed brains and doesn't explain how the folding in a developing brain happens.
A unique feature of the experiment is the possibility to move the detector and therefore exploit different baselines around 1200 km where the oscillation pattern is fully developed.
By the time the embryo is 150 mm long, the mouth has migrated to a terminal position and the color pattern has fully developed; the external yolk sac begins to shrink as the yolk is transferred to an internal yolk sac, which holds it until it can be transferred to the intestine for digestion.
Adult males were at least 4 months old to ensure that their pigment pattern was fully developed.
Nonetheless, speckle patterns of fully developed speckle, i.e., with no spatial or temporal averaging present, have first- and second-order statistics that are independent of scatterer distribution, other than in cases where the effective number of scatterers in the resolution volume is very small [ 35] or where multiple scattering is present [ 36].
Once the patterns have fully developed, you can compare your test card with the color chart provided.
Kaneko studied the pattern formation on the transition route from torus to chaos, revealing rich spatiotemporal dynamics such as frozen random pattern, Brownian motion of defect, defect turbulence, pattern competition intermittency, fully developed turbulence, and so on [36].
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