Mean values and standard deviations (equations 2, 3 and 4) as well as property correlations (equations 5 and 6) and F-tests (equation 7) have been routinely used in the derivation of the physical property pattern surrounding the phosphorylation sites (see first three sections of Results).
In summary, we estimate the noise standard deviation by Equation (7) for each subband and then the nonlocal means filter with the bandwidth in Equation (6) can be applied to the given subband.
The standard deviation regression equation can be used to predict the statistical variation in bubble penetration depth.
The deviation of Equation 12 lies within 5% for all working fluids, including water, functionalized nanofluid, and traditional nanofluid.
Under the assumption that the log of the deviation in equation (1) is distributed normally, these estimates provide also the ML estimates (supplementary text S1, Supplementary Material online).
(1) The standard deviation in Equation (1) is calculated based on actual numbers and expected numbers of the collection of all synonymous codon pairs or isoaccepting tRNA pairs.
We introduce a measure for the approximation error g as the deviation from Equation 20. (23) D [0, p ]· D [ L, E ] - D [ L, p ]· D [0, E ] = g The error g(t) quantifies the distance of the diagonal reaction (Equation 21, Figure 5) from equilibrium.
In this case, the absolute deviations in Equation (2) arise from the taxon-specific fractions on a particular level.
However, this is an approximation as there is an indirect interaction between these processes that results in (dynamic) deviations from Equation 19.
No significant deviations from equation (1) were observed over the temperature ranges examined, indicating that the same kinetic pathway exists under all conditions.
