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A number of mathematical models have been derived for this purpose; however, they often rely on fitted parameters and so have limited predictive capability.
An analytical expression has been derived for this diffusion-reaction system relating the measured signal to the various operating parameters in the limit of slow diffusion across the assay segments.
From the simplified structural model, the mathematical relationship between three nominal main stresses and porosity has been derived for this class of porous materials at failure under the above-mentioned complex loads, covering three loading conditions of biaxial tension with monoaxial compression, of biaxial compression with monoaxial tension, and of triaxial compression.
In [38], some subordination results have been derived for this fractional operator.
A set of distinctions, based on TALIS 2013 variables, have been derived for this paper.
In order to make the problem more tractable, the ℓ1 norm is used and the large majority of the theoretical results in CS have been derived for this norm.
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Useful design equations are derived for this purpose.
Some basic analytical results are derived for this special case.
Then, a simple uniqueness condition is derived for this problem.
Further, an energy based controller is derived for this multi-input-multi-output system.
The sensitivity and the adjoint equation are derived for this objective function.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com