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Given that r and p are non-random, the first order necessary condition (FONC) for the fertilizer variable was specified as: E r f U ' = E p ∂ q X f, X s, X o, ε ∂ X f U ' (3).
The second order IPDS variable was specified as an antecedent of PDs.
The dependent variable was specified as the number of referrals for each patient over the two year study period.
The random genotypic effect of the i-th genotyped line in the m-th group, Z1 im g1 im, was coded as (Z1*TS*GRP*GENB) using the variables tester (TS), group (GRP), genotypes (GENB), and Z1, where the last variable was specified as a quantitative variable, while the first three variables were declared as categorical variables (using the CLASS statement).
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The Bernoulli Log-likelihood function for estimating Eq. 21 when DDI is taken as the dependent variable is specified as: {L}_ileft(beta right)equiv {mathrm{DDI}}_iell nleft( Gleft({x}^{prime}right)right)+left 1-{mathrm{DDI}}_iright)ell nleft(1- Gleft({x}^{prime}right)right) (25).
In the meantime, QMLE fractional regression employed for the empirical analysis of Eq. 21 when DDI is considered as the dependent variable is specified as: mathrm{E}left left.{mathrm{DDI}}_iright|{Y}_i,{x}_kright)= Gleft({psi}_0+phi {Y}_i+{displaystyle sum_{k=1}^K{beta}_k{x}_{k i}+{eta}_i}right) (26).
As the reference case is based on specifying rates, in the production optimization problem, the well control variables are specified as the oil rates at the producers at each control step and the water injection rates at the injectors at each control step.
The coefficients of these variables were specified as a function of sky clearness ranges.
In previous work [36], the values of these two myocardial material variables are specified as kpa and.
In addition, descriptive statistics for categorical variables were specified as number, and median statistics for numeric variables were reported with range (minimum to maximum) and mean ± SD.
In model 1, only the control variables were specified as predictors.
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