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In [8, 16], initial energy must satisfy even a more restrictive condition.
In fact, such a coarse topology makes the assumption of the continuity of f a more restrictive condition than the one we require here.
In this paper we show that the existence of a T-path from any subset of P0 to a transition t is a more restrictive condition and is, again, a necessary condition for the potential firability of t.
In this paper we assume a more restrictive condition that begin{aligned} sum _{j,k=1}^ng^{jk}(x)xi _jxi _kle -c_1sum _{j=1}^nxi _j^2, end{aligned} (1.6 i.e.e
Finally, (IC7) and (IC8) guarantee that if the conjunction between the merging on \(E\) under \ \IC_1\) and \ \IC_{2}\) is consistent, then \ \IC_1\) will remain satisfied if \(E\) is merged under a more restrictive condition, that is, the conjunction of \ \IC_1\) and \ \IC_{2}\).
Unfortunately this property is no longer valid in a 3D framework because the Delaunay condition on the mesh is not enough to guarantee the M-matrix property, so that a more restrictive condition, sufficient to ensure the DMP, is presented in [22] (cf. Eq. (2.5), Lemma 2.1).
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On the other hand, in the year 2001, Shahzad (cf. [2]) using an idea of Itoh (cf. [3]), see also ([4]), proved that under a somewhat more restrictive condition, named condition (A), the following result.
Note that Levi (1986) has a slightly more restrictive condition on admissibility: if an option does not have maximum EU for at least one pair of probability and utility functions, then it is not admissible.
This is a somewhat more restrictive condition than the conventional, long wave, assumption for 1D fluid coupling, which is that 2 πH should be less than the wavelength [ 12].
For, the results in De Donder and Hindriks [3] were obtained around the more restrictive condition.
However, their result was obtained by imposing the more restrictive condition.
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