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To our knowledge, our work is the first to show that the sparsity-inducing ℓ 1 penalty can be integrated with the likelihood term in the language of network flow, to estimate a flow with large likelihood that can be easily decomposed in a number of paths as small as we wish.
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The underlying reason is the following: when the interaction network is large, the likelihood that an initial supercluster of cooperators emerges is low, since it requires a large set of contiguous players with a cooperative strategy the likelihood of which decreases as the interaction network increases, since a cluster of 8 surrounding cooperators is far less likely than one of 4.
The deeper one goes into a story, the larger the likelihood that something interesting will appear.
If 3 is greater than 1 (the "negative ratio") by a large margin, the likelihood that they're a spammer or marketer is pretty good (and as such, probably someone you don't want to follow).
When the same number of fragment ions is distributed over a larger m/ z range for the same peptide sequence carrying a larger modification, the likelihood that the scoring algorithm picks noise peaks would increase (see also the discussion on the b/y-ion free window above), which would in turn lead to lower scores.
For a given alignment, an additional 76 degrees of freedom would be appropriate if the class frequencies were chosen to give the largest likelihood for that alignment.
In all likelihood, that includes criminals.
In all likelihood, that will be you.
Their growth certainly raises the likelihood that large portions of family homesteads in America will end up belonging to banks, not heirs.
However, the likelihood that large constructs can penetrate deeply into tissue, and make their way back from sites where no specific interaction takes place can be estimated from a comparison with oxygen.
This within-network diversity and overall-network commonality to practices at large should increase the likelihood that DPBRN studies will be generalizable and applicable to other dental practices, thereby fostering knowledge transfer not only in the research-to-practice direction, but also in the practice-to-research direction.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com