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where x and y are the two discrete signals being compared, i is the time index, k is the point at which y is being linearly shifted (delayed) and the correlation is being calculated, and m x and m y are the mean values of x and y, respectively.
Alternatively, photons may be viewed as always traveling at c, even in matter, but they have their phase shifted (delayed or advanced) upon interaction with atomic scatters: this modifies their wavelength and momentum, but not speed.
The corresponding normalized autocorrelation function for the Rayleigh fading is given by [29] R = J 0 ( 2 Π f D τ ), (30). in which τ is the time shift delay and f D is the maximum Doppler frequency.
Therefore, coherent integration can be performed by cross correlating the received signal with the transmitted signal s(t), shifted in delay.
Two previous studies have suggested a shift delay in the peak of melatonin during Ramadan.
We trained young adult (5 months) and older (10 months) female Long Evans rats on a win-shift (delay) 12-arm radial maze (7 arms blocked pre-delay).
In addition, 51.42% and 43.94% improvements in CLK-to-shift delay over conventional scan cell are achieved for ILPG and CPILPG, respectively.
The underlying mechanistic basis has long been of interest, and the fundamental roles of feedback, amplification, and phase shift (delay) are well-known from feedback control theory.
Previous studies have demonstrated that a shift delay in the bedtime of college students can impair the students' academic performance [ 5].
Furthermore, our results from both experiments on the effect of 'light pollution' on coral spawning behavior suggest that disruption or phase shift delay in spawning time can occur rapidly, that is, within 7 days of exposure to changes in nocturnal light regimes.
This has the advantage of considering the natural variability of the neuron when the same input is injected, as well as considering effects such as time shift delay and change in representations (i.e. replacing a burst by a single spike).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com