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200 (2004) 462 488], it was shown for simple examples that the then most common way to regularize delta functions in connection to level set methods produces inconsistent approximations with errors that are not reduced with grid refinement.
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When an inconsistent approximation is used instead, the accuracy of the numerical results is greatly degraded.
Ignoring all or some of these factors makes the current design methods an inconsistent approximation of reality.
Such a dependence of the upcrossing time is inconsistent with the Poisson approximation that the time between the two upcrossings is independent [3].
In particular, spectral vanishing viscosity terms are introduced to stabilize short wavelengths inconsistent with the long wavelength approximation of the two-fluid model.
While the assumption of isotropy in the forming limit is perhaps a good engineering approximation, it is intrinsically inconsistent with the use of material models that are anisotropic.
In general, E is smaller when the Poisson approximation is used, but the proportional reduction is inconsistent.
To represent an inconsistent decision table, the CRSA establishes an upper and lower approximation for each decision class, Y.
In this paper, we defined techniques for handling query refinements of assertion axioms in (mathcal {PR_{textit {ALC}}}), by employing the notion of contextual approximation and similarity relations, which exploited the presence of unknown and inconsistent information.
As well as being logically inconsistent, the magnitude of error is potentially large, judging by the discrepancies in CDF between the normal approximation and the exact distributions, whether assessed by the Berry-Esséen theorem or directly from distribution functions.
Next, only the long wavelength approximations of the models are compared and, considering the discrete model as reference, the Cosserat model shows inconsistent predictions of the bulk wave dispersion relations.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com