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Consequently, the differential equation for the disappearance of the displacement of reactant X from equilibrium can be integrated to show that this value decays exponentially.
We develop theory that shows how the singular value decay of a matrix ΦA that is a product of a convolution operator Φ and an arbitrary matrix A depends in a linear fashion on the singular value decays of Φ and A. We propose gap-rank, a measure of the relative numerical rank of a matrix.
Also referred to as extrinsic value, time value decays over time.
So, it remains to be investigated whether older data's value decays over time.
Combining this with the evaporation leads to a variation of pheromones whose absolute value decays as the system evolves.
For the ideal fiber, the maximum of is reached at the fiber center, while its value decays smoothly towards the border of a cylindrical structure.
Similar(53)
One can see that mutual information has a strong peak at the wavelength λc, with its value decaying rapidly with the increasing distance δλ=λ−λc.
There is evidence, however, that human willingness to pay (WTP) for conservation declines with distance a phenomenon we call "spatial value decay".
In some scenarios, the payoff to using a reserve design approach that considers demand-side factors is large, but we find that spatial value decay reduces the benefits that can be gained from any conservation-planning approach.
If the EHH value decayed quickly or the REHH value did not rise to high levels with increasing distance from the core, there would be no evidence for selection.
While for short-range processes the coupling between successive values decays quickly with distance in an exponential fashion, long-range processes show a power-like decay of the autocorrelation.
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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