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The presence of friction effects leads to shifting the buckling wavelet positions in both cases (see Figs. 5b, 6b) but the maximal values of the appropriate critical functions F z cr (S) (located in the wavelets zones) and wavelet pitches remain approximately equal, though shapes of their buckling modes acquire some distinctions.
For Table 2, insulin values outside these ranges were set to the values of the appropriate limit.
To apply these regressions to the power sector, we determined the values of the appropriate covariates for each marginal power plant identified above, resulting in intake fraction estimates for each of 553 power plants.
In all cases, false discovery rates (FDRs) were derived using the method of Benjamini and Hochberg [ 35] and the values of the appropriate statistic (t statistic or slope) were used for functional analysis.
Note that the cycling coefficients reduce to the quiescent coefficients when n → 0 and τ → 0. The values of the appropriate A, B, C, D coefficients for a given dynamic phase thus follow straightforwardly from the kinetic parameters of that phase, with the appropriate choice between quiescent and cycling parameters being made.
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To ensure the collection of the correction value on the appropriate part of the measuring-scale in weighing scales, a reference weight was chosen within the range of value of our target population.
It is notable that the total value of the appropriate covering plus that of the uncovering when a currency becomes suspect is independent of the proportion of positions that are normally covered.
The value of the appropriate damping coefficient is determined by the mesh size, because artificial oscillations of a longer period are generated for coarser meshes.
Then H_0 should be rejected with significance \alpha if the value is greater than the critical value of the appropriate chi-squared distribution.
For a set of N genes, the LS statistic is defined as the mean negative natural logarithm of the P-values of the appropriate single gene univariate tests [12].
For estimation, we applied a tool which uses p-values of the appropriate log-rank test comparing the two survival functions of interest, number of patients analyzed, and number of events on each arm [23].
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