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The prelude of our approach can be found in some papers of the last two authors (see, for instance, [1]), where the notions of degree of a tangent vector field and of fixed point index of a suitable Poincaré T-translation operator are related in order to get continuation results for ODEs on differentiable manifolds.
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Customers are planning fewer day trips and if we get a continuation of the [weather] I don't expect a huge uptick because of the Olympics".
This would mean "no action on immigration, no European referendum and - most importantly - you won't get a continuation of the plan that is delivering success for our economy and security for our people", he said.
In the following consequence of Theorem 3.1 we further assume that M is nonsingular and use the properties of the Brouwer degree to get a continuation result with the sole assumption that Ω # ∩ ( { 0 } × [ g ( 0, ⋅ ) ] − 1 ( 0 ) ) is a nonempty and compact subset of R m × R s.
The play was close enough that even the official Twitter account of the Rockets seemed to initially think that Anthony was going to get the continuation call and a chance to win the game at the free throw line.
And you've got the continuation of Marisa Meyer's awesome Lunar Chronicles sci-fi adventure and S.J. Maas' Throne of Glass fantasy series.
One thing the union sought but did not get was a continuation of Gawker's sabbatical benefit, in which employees receive a paid four-week sabbatical after four years on the job.
"I was proud to get to do a continuation because I always wanted to have a Christmas movie that could show from now on, a Christmas classic.
The conversation naturally turned to Showtime possibly joining the ranks of networks like Fox and NBC by getting into the continuation game.
But they need to get smaller to ensure the continuation of Moore's Law, which states that computing processing power (and, more specifically, the number of transistors on a chip) doubles every 18 months.
Gupta et al. made use of the Leray-Schauder continuation theorem to get the results on the existence of the solution for the problems (1.3) when a ≠ 1 in [14].
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com