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This paper first presents the analytical study of the surface and subsurface thermal/heat flow environments of a potential habitat site located at the Equator of the Moon using a general equation that was developed based on the thermodynamic principle of heat flow to determine the temperature variation/gradient with time as well as depth.
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The scheme was originally presented for the 1D Euler equations for ideal gases and its extension presented in this paper is threefold: (i) we solve the three-dimensional Euler equations on general meshes; (ii) we use a general equation of state; and (iii) we achieve high order of accuracy in both space and time through application of the semi-discrete ADER methodology on general meshes.
The drug‐release profiles were analyzed using a general cubic equation, proposed for this work, which allowed us to determine the gel hydration velocity.
Multivariate relationships were evaluated using a general estimating equation model.
The dichotomous outcome variables were tested against explanatory variables both univariately and in multivariable models using a general estimating equation (GEE) approach with the GENMOD procedure in SAS [ 23].
For categorical outcome measures, differences between non-remitted and remitted patients were assessed using a general estimating equation with an exchangeable working correlation matrix, terms for visit, baseline remission, visit by baseline remission interaction, and the same set of baseline covariates as used for the MMRM.
Using a general estimating equation model with time defined as a continuous variable, in order to obtain a global test of interaction effect, the main effect of treatment (study drug versus placebo) was not significant (P = 0.13), nor was the effect of time (P =0.30), nor was the treatment multiplied by time interaction (P = 0.76).
The primary endpoint of the effect of the study drug infusion on the standing dose of norepinephrine was calculated using a general estimating equation analysis and is presented as the mean dose of norepinephrine (mcg/min) and study drug infusion (in ng/kg/min) at hourly intervals.
Mild and severe hypoglycemic event rates were compared among groups with Poisson regression models using a general estimating equations approach to incorporate the repeated measurements.
Two-level logistic regression modeling (one-stage clustering sampling frame) using a general estimating equations approach was used to determine variation among individual hospitals relative to control groups while adjusting for other predictor variables and the potential cluster effect of birth hospitals (i.e., correlation between outcomes for events within the same hospital).
The governing equation 8 was solved in terms of pore water pressure by using a general partial differential equation solver FlexPDE.
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