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To derive values of bubble local velocities and bubble local sizes, a specific signal treatment is usually applied under severe assumptions for bubble path and shape.
In contrast to this understanding, established models for computer-aided modelling and engineering simulations make severe assumptions about the workpiece surface.
We also conducted sensitivity analyses using a range of less severe assumptions, namely a complete-case analysis and relaxation of the 4-week abstinence definition 25.
Predefined event tables (process rates) in KMC simations are not only severe assumptions in the model; they can also be very tedious to construct.
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This is probably a severe assumption for a highly polished surface with a light carrier gas (Helium).
The b value was estimated to be from 3 to 10, depending on the crystal orientation [33], and a value of b = 3 was selected as a severe assumption.
It is by the way a quite general situation, as we can see in the case where X is a reflexive Banach space and the distance d is the one induced by the norm: in this case there is no need to restrict to the (very severe) assumption that F is strongly l.s.c., but the weak topology allows to deal with a much wider situation.
In making these calculations, it was assumed that 'vaccine failures' and unvaccinated measles cases were equally severe (assumption 3) and that it did not matter whether measles was acquired in infancy or later in childhood (assumption 4).
Despite severe simplifying assumptions it describes surprisingly well univalent ions not too close to the interface for low electrolyte concentrations in the mmol regime.
Dangerous assumption.
Because parametric post hoc tests are also susceptible to severe violation of assumptions, a nonparametric method involving multiple contrasts of rank sums was conducted [ 13].
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