Exact(11)
As gas velocity increases, the amplitude of pressure fluctuation first increases and then decrease, while one sharp peak changes to be uniform lower peaks.
In this paper a new discretization concept is proposed which generates uniform lower and upper bounds of the solution of the Thomas-Fermi equation.
We then show that if a solution to the HJB equation exists, then it must have a strictly positive uniform lower bound.
It shows that the energy for these unit eigenvectors have an uniform lower boundary, which is positive and not dependent on h, in a nonempty and open subset (omegasubset 0,1)).
By virtue of the De Giorgi iteration technique, we deduce an a priori L ∞ bound for solutions to the regularized problems in Proposition 3.2; and the uniform lower bound estimate is obtained in Proposition 3.5.
In [6], Sun and Li considered a similar problem: { − Δ u = u q + λ u p, in Ω, 0 ⩽ u ∈ H 0 1 , with 0 < q < 1 < p = N + 2 N − 2, the authors studied the value of Λ, the supremum of the set λ, related to the existence and multiplicity of positive solutions and established uniform lower bounds for Λ.
Similar(49)
Mike Cresswell, of the AQA exam board, said the regional breakdown showed a "long-standing historical pattern" which proved there was no uniform lowering of standards across the system.
Clinical trials have shown similar, albeit less uniform, lowered blood sugar with introduction of intense insulin treatments combined with intense monitoring, insulin pumps, glucose sensing equipment, diet, exercise and frequent health care supervision.
(In Chinese)] indicated that the works of Zheng et al. (2004) might estimate reasonably the elevation of the phreatic line under uniform lowering conditions, but when the lowering rate of the water level is very large, the works of Zheng et al. (2004) may underestimate the phreatic line.
The pilots, who were wearing military uniforms, lowered bottles of water and packets of biscuits and gestured to passengers that they should hold their position until a rescue boat came to help.
Another MIT study from 2010 found that free school uniforms lowered the incidence of teen marriage by 20% and teen pregnancy by 17%.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com