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When dealing with non-compendial methods, the critical quality attribute should be identified to select a method, which is sensitive and specific to determine changes in critical quality attributes.
In particular, Ling and Wang in [18] considered the following degenerate parabolic system: u t = Δ u m + v p 1 ∥ u ∥ α p 2, v t = Δ v n + u q 1 ∥ v ∥ β q 2. in a bounded domain Ω, with the help of the super- and sub-solution methods, the critical exponent of the system was determined.
As detailed in Materials and methods, the critical end-burst closed time was calculated from the analysis of closed time distributions.
From the equations given in the Methods, the critical factors determining the sensitivity of OTOFTs are (i) the frequencies of SAO, alpha thalassaemia and G6PD deficiency in the population and (ii) the values of g1, g2, g4 and g5.
In both methods the critical point is the dissociation from the actual event and in fact both use the double disassociation technique.
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Using the transfer function method, the critical buckling stress and natural frequencies of these nanomechanical sensors are computed.
Theorem 1.1 will be proved by the finite dimensional reduction method, the critical point theory and the variational method for the perturbed operator A ϵ.
With the thermal properties and input parameters of the numerical model obtained from the inverse identification method, the critical temperature of the device can be predicted more accurately.
Finally, applying the Ritz type variational method, the critical static and dynamic loads, the corresponding wave numbers, dynamic factor and critical stress impulse have been found analytically.
In the proposed method, the critical condition for plastic deformation is that the maximum Von Mises stress of the microstructure equals to the yield stress.
Based on the energy method, the critical load of sinusoidal and helical buckling were derived for the string with the wellbore pressure at the bottom.
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