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Although reduction (A2) is assumed in the following, the assumption ρ red < 1 in (A2) is, in principle, not needed in Lemmas 3.5 and 3.6.
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In our method, Lyapunov's direct method and LaSalle's principle are not needed.
This working principle does not need a mechanism to locate and fix the poppets and we expect that the device can be downsized.
The separation principle is relaxed, persistency of excitation condition (PE) is not needed and certainty equivalence principle is not used.
For a network consisting only of ordinary, merge, and diverge junctions, where the cells have linear demand functions and affine supply functions with identical slopes, and the cost is the total traffic volume, we show, using the Pontryagin maximum principle, that variable speed limits are not needed in order to achieve optimality in the FNC problem, and ramp metering is sufficient.
Although this is a randomised controlled trial and therefore in principle adjustment for other variables is not needed, we did perform analyses where adjustments were made for study center and for those factors that were imbalanced at baseline (gender, chest pain, hypertension).
In principle, aircraft do not need rhenium to stay aloft.
Our new schemes accord with open close principle and do not need changing the original mail infrastructure.
We are gratified that the European Union and U.S. Government have confirmed their belief in these principles, which do not need to be sacrificed in order to achieve the goals of this treaty.
If you didn't want your property stolen in this way, you had to write and withhold permission – a direct violation of the Berne Convention's universal principle that copyright does not need to be asserted.
That would give the lie to the Serb nationalists' belief that the outside world has some racist bias against them, and establish the principle that Serbs do not need to commit massacres to protect their people or their heritage.
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CEO of Professional Science Editing for Scientists @ prosciediting.com