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We especially focus on the connections between the fractional difference operator and the monotonicity and convexity of functions.
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the relationship between the sign of the fractional difference and monotonicity and convexity; and.
Especially we are concerned with a couple of aspects of this theory - namely, the relationship between the sign of the fractional difference and monotonicity and convexity; and asymptotic behavior of solutions to fractional difference equations.
We compared the average phylogeny sizes between these processed ML inferences and our MP data, quantified by the fractional difference between mean MP and mean ML tree size over the 200 data sets.
This is defined as [ Tz+ − Tz−)/ Tz+ + Tz−)] and represents the fractional difference between total cations and anions.
δSUR of the actual values (the fractional difference between measured SUR2 and SUR1 of the DTP pairs) is shown in red.
δSur of the uncorrected values (i.e., the fractional difference between actually measured SUR2 and SUR1 of the DTP pairs) showed the expected strong dependency on Δ T with a large average value of (73±34) % (Fig. 3).
One can argue that the actual system will have errors larger than this very detailed model, but the (fractional) difference between model and actual performance should be comparable across conditions.
Fig. 3 The fractional difference δSUR between the first and second time points of each DTP measurement.
Here, the fractional difference in composition between a given protein set and a set of completely disordered proteins was calculated for each amino acid residue.
This bias can be visualized by plotting the fractional difference in composition between a given set of proteins and a set of ordered proteins [ 7, 81].
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com