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Furthermore, unlike current models of revision, our approach does not require the Limit Assumption.
Lewis has argued against having the Limit Assumption as a constraint on system of spheres models.
He called the assumption that there was a sphere of closest worlds the "Limit Assumption", and noted that we could do without it.
The Limit Assumption is satisfied if the preferential structure does not contain any infinite descending chains of more and more preferred models, with no minimal member.
The analogue to the seriality of our earlier i-acceptability relation is also assured by the Limit Assumption, since it entails that for each world i, there is always some i-acceptable (now i-best) world.
Then if we use the usual truth conditions for selection functions, the truth conditions determined via selection functions derived from a system of spheres satisfying the Limit Assumption coincide with the truth conditions in terms of system of spheres (this is the reason invoked in Cross and Nute 2001 for classifying Lewis' theory of conditionals as a minimal change theory).
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This paper is devoted to obtain results relying on a comparison and an asymptotic comparison of the solutions between a nominal (unperturbed) functional differential equation involving wide classes of delays and a perturbed version (describing the current dynamics) with some smallness in the limit assumptions on the perturbed functional differential equation.
The wind distribution model developed in this paper avoids the limiting assumption of unimodality of the distribution.
Although localization methods that assume exponential decay exist in the literature (in the field of wireless communications), these methods have only been considered for wave propagation in non-dispersive media, in addition to the limiting assumption required by these methods that the source must not coincide with a sensor location.
The current generation of supercomputers is the first to allow us to simulate supernovae in all three dimensions without the limiting assumption that there is some kind of symmetry.
A fundamental flaw of all Y-STR mutation rate estimation approaches, including our own, is the limiting assumption they make about the nature of Y-STR mutation processes.
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