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A dual mobility cup has the theoretic potential to improve stability in primary total hip arthroplasty (THA) and mid-term cohort results are favorable.
This raises the question 'Should anti-TNF agents be introduced early?' Remission implies the reversibility of functional impairment, minimal or no progression to joint destruction, and at least a theoretic potential to heal a damaged joint [ 10].
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Moreover, information theoretic bounds on potential achievable rates by cognitive radio networks are being investigated.
We consider two basic potential theoretic problems in Riemannian manifolds: Hodge decompositions and Maxwell's equations.
For this we use a potential theoretic formulation where the boundary integral equations are solved with a fast multipole approach.
In contrast to its potential theoretic value, the proposal in [10] is over-simplified and insufficient for the real-world deployment.
The problem of finding the correct measure of distance for Bernstein type inequalities on general compact sets in (mathbb{R }^{d}) was studied by Baran [1] and Totik [14] using potential theoretic methods.
Thus a number of potential theoretic properties and principles can be proved, answering long standing open problems even for the Brownian motion on abstract Wiener space, as, e.g., formulated by R. Carmona in 1980.
We obtain upper and lower bounds for the spectral counting function associated to the Dirichlet laplacian for an open set D in euclidean space, satisfying a geometric and a potential theoretic condition.
The operator T1 is found as an H∞-function of T. The existence of an appropriate function, compressing π(T) to the whole circle, is proved using potential theoretic tools by constructing a suitable regular compact set on T with absolutely continuous equilibrium measure.
Using potential theoretic methods we answer here some questions raised in [H. Brezis, A.C. Ponce, Kato's inequality up to the boundary, Commun. Contemp. Math. 10 (2008) 1217 1241] about the relations between the normal derivative of a function u and the normal derivative of its positive part u+.
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