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The patients were uniformly satisfied with the results of the procedure and, when asked, elected to receive the same treatment again if necessary.
Although none of the physician samples were uniformly satisfied with their work experiences, U.S. physicians reported markedly higher perceptions of quality of care and professional autonomy than physicians from Canada and Norway (even when controlled for age, gender, and hours worked) but a lower rate of being at-least-somewhat satisfied with their jobs.
Entrees were uniformly satisfying.
Later, Zhou [9] and Zhang-Su [10], respectively, extended the result above to -uniformly smooth and -uniformly smooth Banach spaces which are uniformly convex or satisfy Opial's condition.
By Theorem 2.3, we need only to verify that the family of processes ({U_{g} t,tau)}), (ginmathcal{H}(g_{0})), satisfy uniformly (w.r.t. (ginmathcal{H}(g_{0}))) condition (C).
Suppose that the leading coefficients (a_{ij}in operatorname{VMO}(Omega)) and satisfy uniformly ellipticity H1, and ({mathbf{f}(x)}in[L^{p}(Omega)]^{m}) with (2< p<+infty).
Therefore, the family of processes U σ ( t, τ ), σ ∈ H ( σ 0 ) satisfy uniformly (w.r.t. σ ∈ H ( σ 0 ) ) Condition (C) in E 0. Applying Theorem 2.4, we can obtain the existence of a uniform (w.r.t. σ ∈ H ( σ 0 ) ) attractor of the family of processes U σ ( t, τ ), σ ∈ H ( σ 0 ) in E 0, which satisfies (3.21).
The results we have presented so far show that for any (epsilon _0>0), the 1-parameter family of metric spaces ((mathcal {M},d_epsilon )) associated to the Riemannian approximations of a subRiemannian metric space ((mathcal {M},d_0)), satisfy uniformly in (epsilon in [0,epsilon _0]) the hypothesis in the definition of p-admissible structure in the sense of [48, Theorem 13.1].
Let be a function pseudo-almost periodic in uniformlies in that satisfy the Lipschitz condition (3.6).
In particular, uniformly smooth Banach spaces satisfy the (DL -condition.
Another example shall be given which is uniformly closed but not satisfy condition AKTT and ∗AKTT.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com