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A regression model that provides a good fit to lifetime data tends to yield more precise estimates of the quantities of interest.
This has to be accounted for while estimating the parameters in the constitutive models to obtain reliable estimates of the quantities of interest.
The approach substitutes the evaluation of closed form macroscopic equations with the design and execution of appropriately initialized short bursts of fine scale simulation; processing the simulation results yields estimates of the quantities (residuals, actions of Jacobians and Hessians) required for continuum computations.
To begin with, we will present the estimates of the quantities bigglvert widetilde{T}_{n,A} f ( x ) - widetilde{f}_{r} biggl( x,frac{pi}{r ( n+1 ) } biggr) biggrvert quadtext{and}quad bigglVert widetilde{T}_{n,A} f ( cdot) -widetilde{f}_{r} biggl( cdot, frac{pi}{r ( n+1 ) } biggr) biggrVert _{L_{2pi/r}^{p}}.
Corresponding estimates of the quantities and were given in [7] in terms of the -dimensional surface area and in terms of the best constant in the embedding theorem of the Sobolev space into the space on open subsets of the sphere.
The six lines had significantly different estimates of the quantities of soluble solids, ash, cellulose, and hemicellulose, but these were not consistently associated with either control or CAD silenced lines.
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Another issue concerning any sampling method is the required time to obtain reasonably good estimates of the quantity in question.
The number of publications and the impact factor of journals are accepted estimates of the quantity and quality of research productivity.
As can be observed, annual estimates of the quantity of both cocaine and cannabis herb seized fluctuated throughout this period; however, the quantity of heroin seized increased relatively steadily.
These methods are designed to include the value of productive labor in estimates of Gross Domestic Product and typically rely on population sampling and use of activity diaries to provide detailed estimates of the quantity of time spent on different activities both paid and unpaid.
Specifically, an estimate of the quantities of high-value aromatic compounds produced from a typical quantity of borra feedstock in a multi-stage integrated biorefinery is presented in Fig. 12.
More suggestions(16)
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estimates of the victims
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