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The age-standardized z-scores were calculated using the formula derived from a normative study of the Australian population (n = 240; [4240.
Thus, to be on the safe side, it is recommended to make an upper bound to the standard deviation estimation by using the formula derived from a subgroup with very low Fhom: <img src="http://journals.plos.org/plosone/article/asset?id=info?doi/10.1371/journal.pone.0000113.e004.PNG" class= inline-graphic"/> Where S is the size of the scaling subgroup, and STD is the standard deviation.
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The anisotropic branches are taken into account by modification of the impedance matrix elements using the formulas derived in this paper on the basis of the Sherman Morrison formula.
Thus, we can use the formulae derived in this reference to obtain, e.g., for the mean the system of differential equations d d t E n Θ t n = − 1 τ E n Θ t n + 1 τ ∑ k = 1 P l ( k, n ) E n f ( ∑ j = 1 P W ¯ k j n Θ t k, n ) e k. (B.1).
The n and r choices according to values of C = {0, 0.5, 1} and B = {250, 500} discussed above were used in the formula derived by Daetwyler et al. (2008).
The calculated v-bar was corrected for the effect of the presence of glycerol using the below formula, derived from the data of Gekko and Timasheff [29].
Using the semiempirical formula derived from the Tong (1978) to determine the relationship between water cut and recovery degree in water injection development oilfield (Liang and Liu 2016): lg frac{{f_{text{w}} }}{{1 - f_{text{w}} }} = 7.5left( {r - R_{m} } right) + 1.69 (23).
Since the shift of steady-state distribution can be computed efficiently using the analytic formula derived in [ 16- 18], a second new control policy, having similar time complexity as the original MFPT control policy, is proposed based on the shift of steady-state distribution.
For sensitivity analyses, we also predicted PM2.5 for 1999 2009 (correlation between predicted and measured was 0.97) using the formula applied to derive exposure estimates during the earlier period when PM2.5 was not measured.
Simulation results obtained from the numerical solution of model equations are utilized to estimate the error that would occur if one simply evaluates the diffusion coefficient using the traditional formulas derived from the analytical solution of the sorption equation.
Recently, numerous investigations have used the CMRO2 formula derived by Davis et al. (Davis et al. 1998; Hoge et al. 1999; Kim et al. 1999; Kastrup et al. 2002; Uludag et al. 2004) to investigate the associations between hemodynamic and metabolic changes in response to various stimuli.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com