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Now, since the state variables cannot diverge as (k rightarrowinfty), there are only two possibilities: (1) All the state variables converge to a constant finite value.
For continuity, in this case correlation will be very close to one, and the variance cannot diverge since (widetilde{lambda}_{mathrm{max}}<0).
In order to process the limit procedure, it is necessary to show that the minimum of (|u_{r}(t)|) has a uniform bound from above which guarantees that the asymptotic solutions cannot diverge to infinity as (rrightarrow+infty).
This paper shows that if the continuous positive systems making up the switched system have a certain structure, it is possible to design stabilizing state-feedback controllers which ensure that the trajectories of the switched system cannot diverge to infinity regardless of the way the switching thresholds are selected.
But then it follows that 'Scott believes that Mark Twain is Samuel Clemens' and 'Scott believes that Samuel Clemens is Samuel Clemens' express the same proposition (since the embedded sentences in both belief ascriptions express the same proposition) and so cannot diverge in truth value.
The resulting BOG paths cannot diverge because each node has out-degree of at most one in the overlap edges.
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In his work, Pendry has shown that a negative index medium of superlens cannot converge diverging waves to a focal point in the far-field but can enhance their amplitude in the near-field (Fig. 11).
Because the Gompertz model focuses exclusively on adult mortality (see Tuljapurkar and Edwards 2011 for an analysis of variability in adult lifespans under the Gompertz model), it cannot capture the diverging trends in variability for the young and old.
Predictions based on nucleotide and protein sequence similarities to those of other gene families and organisms might misassign pseudo genes, and cannot identify evolutionarily diverged genes that have no sequence similarity to known genes.
Furthermore false negatives due to highly divergent or quickly diverging sORFs cannot be ruled out.
Joshua Spero, a former planner for the Joint Chiefs of Staff who teaches political science at Merrimack College in North Andover, Mass., said, "This is absolutely one of those age-old democratic dilemmas we face, where the political-diplomatic and military dimensions don't necessarily diverge, but cannot always work from the same sheet of music".
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com