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Therefore, if and only if for each, that is, each pair provides.
Then if and only if, for each pair providing, each pair provides, where is a lifting of homotopic to and.
Thus, selecting either member of each pair provides an optimal model and all possible combinations give rise to the 24 = 16 models.
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All 300 possible pairwise combinations of these hotspots were then used to simulate response studies, with one of each pair providing the baseline measurement and the other the follow-up measurement.
On the other hand, suppose that there is a map such that, for each, the pair provides.
Then if and only if, given different points of, say, there is a map such that, for each : the pair provides.
Each sibling pair provides us with one estimate for ν as: (1) This is very similar to the estimator used by Rosenfeld and colleagues (2005, 2006), who applied it to sibling data from fluorescent image sequences of growing colonies of E.coli.
The TRP information of each explainable TF-gene regulatory pair provides hypotheses for the molecular mechanisms behind a TF and their regulatory targets, which are worthy of experimental validation by biologists.
The other pair provides a linear stiffness term.
Public PAIR provides interested people access to issued patents and published patent applications.
Thus, the pair provides (, of course).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com