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The resulting bound involving k now follows by routine algebra.
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Let us comment on the tightness of the delay-dependent bound: as shown in Proposition 3.13, this bound involves the maximum delay value τ m and the norm ∥ J ˜ τ β ∥ L 2 ( Ω 2, R p × p ), hence the specific shape of the delay function, that is, τ ( r, r ¯ ) = c ∥ r − r ¯ ∥ 2, is not completely taken into account in the bound.
SA does not show co-operativity in biotin binding between the four subunits [ 32], but there is a substantial conformational change when biotin binds, involving the flattening and tighter wrapping of the β-barrels, altered dimer dimer packing and loop ordering [ 33].
We develop a branch and bound algorithm involving the implementation of lower and upper bounding procedures as well as some dominance rules.
Such hard choices are bound to involve a political cost.
The trouble in Chicago looks a lot more sophisticated, and therefore bound to involve many more people.
Production after 1945 so multiplied that to single out names is bound to involve some injustice.
If the scheme was meant to be a counterterrorism measure it was bound to involve some kind of storage and processing of the information gathered.
A novel about a homely, forsaken child is bound to involve hardship and despair, and Shannon certainly endures both, but Ms. Celona adroitly confounds many of our expectations.
But he was also the made poet, schooled by deep learning in his art, marked by personal and historical sorrows, and by a soothsayer's awareness that facing a destiny was bound to involve a certain ordeal.
Granted, the nondescript semi of yellow brick was located in deep south London, but any property whose purchase someone in Helen's income bracket could swing was bound to involve a hefty commute to a job in NW1.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com