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At separations closer than r0, the law of force approximates to an inverse square attraction, but the exponential term kills the attractive force when r is only a few times r0 (e.g., when r is 5r0, the exponential reduces the force 150 times).
Even though the run-time increases exponentially as the size of subgraph increases, in our case the size of the search space, as the base of the exponential, reduces quickly.
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Like the V-shape, the exponential shape reduces the amount of Ge in the i-layer, decreasing both the space charge defect density inside the i-layer and the recombination losses.
where n labels the energy quantum number A change of variable for ζ > 0 with removes the exponential term and reduces (13) to (14).
It indicates that aquifer potential reduces (exponential decay) from newer alluvium to older alluvium, attributed to increasing thickness of clay bed at the top of the aquifer system in older alluvium areas and finer sediments of the deeper aquifer.
And the reason behind this is, firstly, the stations inside transmission range now can set their NAV and freeze their counter of binary exponential backoff; this reduces the throughput as station now are able to coordinate transmission attempts within transmission range.
Therefore we used a pre-processing tool, available in the PMOD software, which allows a fit of the input curve, namely by a sum of up to 3 decaying exponentials, to reduce noise.
This reduces the exponential number of inequalities in a direct characterization yielded by the max-flow min-cut theorem to a polynomial number of inequalities.
The criterion not only guarantees exponential stability but also reduces the effect of external interference to an induced l∞ norm constraint.
The decomposition reduces the exponential time complexity of a higher-dimensional assignment problem into O(n 2) in the number of measurements n for most scenarios[9, 10].
The BEDROC score [ 44] augments the AUC with a decreasing exponential weighting function that reduces the influence of lower ranked structures.
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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