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So if we take sufficiently close to 1, then by the Sobolev imbedding theorem, we have (2.16).
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Take sufficiently small satisfying (2.33).
Take sufficiently small so that.
It took the government far too long to take sufficiently aggressive steps to lower mortgage rates.
This means that we mustchoose couplings such that the bifurcation takes place sufficiently close to theorigin to be accurately approximated by the truncation.
But "are we taken sufficiently seriously when it comes to talking about security?
A step taken in a tempo sufficiently close to the music tempo (max. 1 % difference between SPM and BPM) at that specific moment is regarded as a tempo-entrained step.
As it has been shown that unintentional coordination typically manifests as relative or intermittent coordination (i.e. movements are attracted to a 0 or 180° but are not phase locked) [36, 37, 42], rather than phase-locked steps, entrainment refers to the amount of steps taken in a tempo sufficiently close to the music tempo (max. 1 % difference between running cadence and music tempo).
Then we can select an sufficiently close to such that.
But there is another important strain of functionalism, "analytic" functionalism, that takes there to be reason to restrict the defining theory not just to generalizations sufficiently close to those that "the folk" take to hold between mental states, environmental stimulations, and behavior, but rather to a priori information about these relations.
Since the last term in (18) tends to zero as b → a +, we obtain using the same argument as in the previous part of the proof that λ 1 ( b, α ) < L + ε for b <span class="lh">sufficiently close to a. Taking Λ = L − ε, we obtain λ 1 ( b, α ) > L − ε for b in a right neighborhood of a, and this completes the proof.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com