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We found that except for small exchanges in the eigenvalues within a given set, there are no significant changes in the type of motion.
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While the likelihood function provides a means of scoring the quality of a given BPN, for any given data set, there exist 2| L | possible BPNs, where L is the set of all possible links between pairs of processes.
The analysis presented in this work has shown that for a given data set, there are structural representations that generate activity landscapes that are not different from random.
For any given bounded set, there exists such that for all.
Importantly, within a given patient set, there was almost complete correlation between the proteins identified in the two serum samples.
In any given set of edges, there exists at least one edge with the smallest RPD value among all of them, called the edge of minimum RPD for that set.
The first phase establishes that for a given set of links, there exists a power and rate allocation that satisfies the SINR requirements imposed by some MCSs under a set of power constraints.
The former assumes that for a given set of links, there exists an infinite number of solutions to the resource allocation problem, and the main objective is to find the allocation that maximizes a specific utility function such as sum rate and power consumption.
A practical drawback of these definitions is that for a given set of clusters there might not exist such a network (for a fixed level k).
These representative images highlight how, in a given set of subjects, there is increased perfusion in PTSD and hypoperfusion in TBI with an intermediate imaging pattern in persons with both.
We choose f greater than 1 2, because (i) it conveys confidence that a majority of the input trees support the f-frequent subtree, and (ii) it ensures uniqueness: on a given set of leaves, there can be at most one f-frequent subtree.
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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