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It gives the amount of independent information that can be simultaneously transmitted within the whole network, and naturally bounds the value of the MIR in the channels, which concerns only the transmission of information between two elements.
The interval 0 ≤ s(X) ≤ 1 bounds the value of entropy, with the left inequality approaching equality when only one strategy occurs at s n with nonzero probability of use (i.e., maximum sparseness) and the right inequality approaching equality when all k n possible strategies occur at s n with equal probability of use (i.e., minimum sparseness).
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To constrain these values we follow Siegal and Bergman[ 9] in applying a scaling function (f) that bounds the values of the upper and lower limits of gene production to 1 and -1.
A more general approach consists of bounding the value of the maximum resonance peaks of both the complementary sensitivity and sensitivity functions.
LSMN/L estimate C/VFAs that yield equally accurate (near optimal) and precise lower and dual (upper) bounds on the value of these real options.
However, even when the rate constants associated with eosin regeneration via reaction with peroxy-species are set at the physical upper bounds, the values of t0.2 predicted by the model are much larger than those that we observed experimentally.
We're using a virtual diameter of 4 in the above examples, since we want to show everything within the radius of 2 (the Mandelbrot set is bounded by the value of 2).
This paper describes a tool to aid in the analysis and design of fault detection systems for processes which present bounded structured uncertainty (only bounds for the values of their physical parameters are known).
In Archimedes' usage, the method of exhaustion produced upper and lower bounds for the value of π, the ratio of any circle's circumference to its diameter.
This finding suggests the use of LSML in lieu of LSMN when estimating dual bounds on the value of early or multiple exercise options, as well as of related capacity investment and inventory/production policies.
If two confidence interval methods attain the same coverage probability, then the narrower of the two intervals would be considered better because it places narrower bounds on the value of the true parameter while maintaining the same level of confidence.
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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