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The influence of the clearance, constraint stiffness, external force and forcing frequency on dynamics of the system is investigated in definite parameter spaces.
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Ratios of contents of selected representatives of each group to the sum of all identified markers were proposed as definite parameters for determination of roasting degree of Brazilian coffee Arabica.
The methods of quantization presented in this paper can be as the reference framework for designing expected GRIN lenses before fabricating them with a simpler process of definite parameters.
Even though it is difficult to be definite on which parameter best describes the positions of BPRs since they all correlate with one another due to the organisation of the human genome into isochores, the results reported in this work reveal the importance of intergene size.
For all (alphain(1,2)), if (A=Dmathcal{M}) is negative definite, and the parameters (gamma_{1}), (gamma_{2}), and (gamma_{3}) satisfy the hypothesis given in Lemma 1, we have biglVert U^{m}-u^{m} bigrVert leq C bigl(h^{2}+tau^{2}bigr), quad m=1, 2,ldots, M, where C is a positive constant, and (U^{m}=[U_{1}^{m}, U_{2}^{m},ldots, U_{N}^{m}]^{T}).
where are defined in (2.12), is defined in (2.13), the diagonal positive definite matrix is a parameter to be designed.
The square operation in calculating the Euclidean distance (22) implies the definite positivity of resultant parameters.
The equations include the mass transfer resistance and gas bubble formation at definite kinetic and ohmic parameters.
It is found that the model parameters have definite meanings and are strongly related to the particle properties, fluidization conditions and fluidized bed structure.
Therefore, such an approach is able to provide inverse methods to obtain the actual values of physical parameters from definite features of optical quantities.
Assume that P β (Y|X) and π X,A,ψ have bounded third-order derivatives in a neighborhood of the true parameters and are bounded away from 0 almost surely, both −E{(∂2/∂ β2)(logP β (Y|X))} and I ψ are positive definite at the true parameters.
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