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The group velocities for each period were calculated using codes developed by Herrmann (2013).
Costs for the 1-year study period were calculated using the 3-, 6-, 9- and 12-month follow-up.
Trends in sex-adjusted mortality for the period 1984 1994 as well as mortality levels at the start of this period were calculated using log linear regression.
The parameters removal efficiency by Botryococcus sp. during phycoremediation period were calculated using Eq. (1) according to Larsdotter et al. [12].
The total emissions of NH3 during the experimental period were calculated using integral of measured emission rate with acid trap method (Fig. 3a) and reported as a percentage of ammoniacal nitrogen applied (Fig. 3b).
After regression models were fit, adjusted proportions of helmet use in each subpopulation for each time period were calculated using predictive margins with covariates held at their observed values.
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(The true period was calculated using the Gauss-Legendre quadrature with N significantly larger than 104 and is approximately 8.040104851819).
(The true period was calculated using the Gauss-Hermite quadrature with a large M in the g Na direction).
The transient 3-D temperature distribution at discrete points of time during the simulated period was calculated using the FDM.
The maximum rainfall for a particular return period is calculated using the following equation: X_{T;} = ;X_{text{av}} ; + ;ksigma, (1 where X av is the mean values, k is the frequency factor and sigma ; = ;left[ {frac{{sum {(X_{i} - X_{text{avg}} )^{2} } }}{N - 1}} right]^{frac{1}{2}}, (2)in which σ is the standard deviation and N is the sample size.
Crop yield (kg) per 1,000 m3 (264,172 gal) water volume during one crop growth period was calculated using Eq. 3: {text{CY = (Cy/}}V_{text{w}} )times 1 0 0 0times ({text{kg/10 hg}}) (3)where CY is crop yield (kg/1,000 m3), and Cy is average crop yield (hg/ha) for 1997 2001 (Chapagain and Hoekstra 2004).
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