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By comparing the characteristics of the particles that collide to form a black hole -- things like spin and charge -- to the characteristics of the radiation coming out, theorists can look for some kind of subtle correlation.
The delocalization of electronic states for the group of systems presented here is sensitive to a subtle correlation between the numerical values of the Hamiltonian parameters – a fact that is not common in the conventional cases of Anderson localization.
Unlike previous work, our approach does not require that genes within a set are highly correlated in at least one biological condition; they may be, but differential regulation can manifest itself in significant but more subtle correlation shifts.
This experiment demonstrates (i) that by exploiting subtle correlation information embedded in the pathway topology, NaNOS can boost its modeling power and predictive performance, and (ii) that NaNOS is robust to small perturbation in pathway topology.
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Moreover, given the sometimes subtle correlations gleaned from data-mining, it may not be obvious what uploaded information will eventually be the most revealing.
The different dimensions of the dataset allow identification of subtle correlations (rather than causality) between borrowers' daily behaviors and their financial behaviors.
Because of the massive amount of historical data collected, Vigilent also aims to detect subtle correlations further down the long tail of historic data that would otherwise go unnoticed.
He says that all the data can be explained if subtle correlations between neighboring atoms keep opposite spins from colliding even though there is no overall alignment.
This is all algorithmically generated, Hallett told me, and it's based less on what people say explicitly on Twitter (though that's a component) and more on using "massive amounts of subtle correlations" that suggest implicit details about users' demographics, interests and habits.
We then tried to detect potentially subtle correlations by deriving global statistics about miRNA-target expression correlations.
Alternatively, if this hypothesis were correct, either the downstream gene's expression would have to change on a timescale which is much slower than those of its regulators (and consequently Φ→0), or there would have to exist subtle correlations among all the protein copy number fluctuations of the different transcription factors.
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