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He did not offer any such solutions, which anyway do not come in handy packets.
We will continue to create and improve our own internal licensing and protection technologies, but we will no longer be selling any such solutions externally.
In particular, the former equation does not have any such solutions, while the latter may, but only when or We are then able to pinpoint the exact conditions on, and such that the desired solutions exist.
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Without question, he is doing so in a way that will allow Altria and Philip Morris USA not just to survive but also to thrive — and there are many in the public-health community who view any such solution as abhorrent.
In order to make any such solution work, Europe's elites will have to address a problem they have long shirked: that of the democratic deficit at the heart of integration.
It was only after it became clear that Republicans would not vote on any such solution — even one of their own design, based on their own stated principles — that Obama took his most ambitious unilateral step to restore some sanity to our enforcement regime.
To do this, we show that any such solution is a non-degenerate relative minimizer of the free energy functional constrained to a convex set, then use a version of the Mountain Pass Theorem to derive a contradiction, should there be more than one solution.
First, because of the incompleteness theorems, any such solution would have to be "schematic" concerning the first part (vertical independence).
If, in addition, for any such solution, lim t → ∞ x ( t ) = K, the equilibrium solution x ( t ) = K, t ∈ [ − τ, ∞ ) of equation (5) is called locally asymptotically stable.
It is also clear that is even, for some odd integer, and By Theorem 5.7(i), 6.3) has -periodic traveling wave solution with velocity By Theorem 5.7 ii), any such solution of (6.3) is of the form (6.5).
The error system (5) with (omega k)=0) is said to be asymptotically stable, for any such solution (e k)) of the system (5) satisfying lim_{krightarrowinfty}bigl| e k bigr| ^{2}=0.
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CEO of Professional Science Editing for Scientists @ prosciediting.com