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Gerke ordered his men to withdraw gradually, moving one vehicle at a time back along the road, as those that remained provided covering fire.
According to the Lyapunov stability theory, there is a unique P = P T > 0 to (16) as (44) P = [ 1.4852 − 0.2058 − 0.2058 1.6204 ] From (17), the permissible range of α ensuring stability is given by (45) α < λ min (Q ) λ max (P ) = 0.6588 That is, the system would remain its stability provided that 0.0827 ≤ α ≤ 0.6588.
Patients were allowed to continue analgesic medications throughout the study, provided that dosing remained stable.
But Mr. Bernanke, who exercises disproportionate influence over the committee's decisions, has said he would support new purchases only if the economic outlook deteriorated, and provided that inflation remained below 2 percent.
If there exists an infinitesimal step in the density of the gas, it will remain stationary provided that the gas flows uniformly through it toward the region of higher density, with a velocity If the gas is stationary, then (145) describes the velocity with which the step moves.
Based on the simultaneous domination assumption, we design a continuous feedback controller for the switched system, which guarantees that asymptotic output tracking is achieved without transgression of the constraints and all closed-loop signals remain bounded, provided that the initial states are feasible.
Missing values were imputed using the mean values of the remaining items, provided that a sufficient proportion of remaining items were available, as specified by the scoring guidelines for each measure.
These associations remained stable, provided that clinical case definitions were above 20%.
The Fed said in December that it intended to hold interest rates near zero at least as long as the unemployment rate remained above 6.5 percent, provided that inflation remained under control.
And the Fed already has tied the duration of low interest rates to the unemployment rate, announcing in December that it intended to hold its benchmark short-term interest rate near zero at least as long as the unemployment rate remained above 6.5 percent, provided that inflation remained under control.
Disney managed to get his hands on a copy of the film, and Ms. Winkler offered him a contract, providing that Miss Davis remained part of the deal.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com