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A variational formulation of a general form fourth order geometric partial differential equation is derived, and based on which three versions of the mixed finite element method are developed.
For each scanner, the best proportional and linear fit between measured and known activities were derived and based on statistical analyses of the results of all scanners; it was determined which fit should be applied.
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The functional assessment was evidence based [ 12], the biomarker-enhanced risk score was derived and validated based on a large multicentre randomised controlled clinical trial (ProHOSP) [ 16] and an additional observational study (OPTIMA I) [ 28].
New peak-stress and peak-strain equations are derived and validated based on the experimental results.
The analytical solution for longitudinal distribution of concentration is rigorously derived and illustrated, based on the time dependent hydraulic dispersivity.
The agreement between the simulated and observed tracer plumes was quantified to gauge the effectiveness of geophysically derived and flowmeter based representations of the hydraulic conductivity field.
The model consists of a transfer function from which the first three moments can be derived and is based on physical principles without any adjustable parameters.
Force field parameters for the modeling of oxotechnetium V) and oxorhenium V) complexes with amine, amide, imine, carboxylate and thiolate donors have been derived and optimized based on 131 published solid state structures.
Expressions (18) to (27) are derived and simplified based on (7) to (13) for rDCF: (18).
Diagnostic signature patterns for these models were derived and evaluated based on 500 random divisions of the complete Affymetrix array set (47 microarrays) into training and test samples.
To exploit the power of latent growth curve analysis we will first develop and test theoretically derived and empirically based models designed to link variables using structural equation modelling methods at one point in time.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com