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However, the approximation did not account for the co-variation between expression values.
Use of Huckel approximation did not change the trend seen in the zeta-potential measurements.
Due to the use of an odor source with reduced volume, this approximation did not hold in the present study.
However, this limited cost approximation did not include data on e.g. costs for conventional care, administration, case conferences, indirect costs or cost savings from patient, provider or organisational perspectives.
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Hence, the approximation does not have a minimum that would allow us to define naturally the characteristic length.
Our parameterization strategy also provides the user a flexible method to design parameterizations - an ability that previous literature in surface approximation does not address.
Since the MLS approximation does not satisfy the principle of Kronecker delta, a penalty method is then imposed upon to equip as auxiliary boundary conditions.
The population balance equation, which generally comes about by making the crudest closure approximation, does not make accurate predictions in such cases of the average behavior of the system.
It is empirically shown that the approximation does not impair the quality of the obtained solutions given a budget of objective function evaluations, while considerably reducing the computation time in the case of multiple objectives.
The numerical approximation does not have spurious modes and mimics many fundamental properties of the underlying physical problem including conservation laws, symmetries in the solution, and the nondivergence of particular vector fields.
Although this approximation does not produce exactly the same values of all the variables at some time in the future as those produced by a numerical solution of the differential equations starting with the same initial conditions, the qualitative behaviour is indistinguishable over long time periods.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com