Since the Sobolev set W r p , 0 < p < 1, in general is not contained in Lq , 0 < q ≤ ∞. We limit ourselves to the set W r p ∩ L∞, 0 < p < 1. We prove that the Kolmogorov n-width of the latter set in Lq , 0 < q < 1 is asymptotically 1, that is, the set cannot be approximated by n-dimensional linear manifolds in the Lq-norm. We then describe a related set, the width of which is asymptotically n−r.

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We consider Poisson’s equation in an n-dimensional exterior domain G (n≥ 2) with a sufficiently smooth boundary. We prove that for external forces and boundary values given in certain Lq(G)-spaces there exists a solution in the homogeneous Sobolev space S2,q(G), containing functions being local in Lq(G) and having second-order derivatives in Lq(G). Concerning the uniqueness of this solution we ...

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This paper presents a baseline test for the listening quality (LQ) using voice over digital subscriber line (VoDSL) access technology by using voice/listening quality(V/LQ) transmission with voice compression while countinously downloading file. The design of an experimental VoDSL network architecture is presented. We identify the efficiency of the LQ based on the following digital subscriber l...

In this paper searches are presented for the pair production of first and second generation scalar leptoquarks and limits are given on the quark-lepton compositeness scale Λ from proton-antiproton collision data at a center-of-mass energy 1.96 TeV, collected with Run II D0 Detector in 2002-2004. No evidence for a leptoquark signal has been observed in the topologies arising from LQ 1 LQ 1 ejej ...

Certain frequency-shaped standard linear quadratic (LQ) controllers involving state feedback have attractive loop robustness properties. These robustness properties may vanish in passing to an output feedback scheme, as when state estimates are used instead of states. The known exception to date is when the plants are minimum phase and state estimation with loop recovery is used, as in LQG/LTR ...

In this paper, I propose a general pricing framework that allows the risk−neutral dynamics of loss given default (LQ) and default probabilities (λQ) to be separately and sequentially discovered. The key is to exploit the differentials in LQ exhibited by different securities on the same underlying firm. By using equity and option data, I show that one can efficiently extract pure measures of λQ ...

We use finite incident structures to construct new infinite families of directed strongly regular graphs with parameters (l(q−1)q, l(q−1)q, (lq−l+1)q, (l−1)(q−1)q, (lq−l+1)q) for integers q and l (q, l ≥ 2), and (lq(q − 1), lq(q − 1), lq − l + 1, (l − 1)(q − 1), lq − l + 1) for all prime powers q and l ∈ {1, 2, . . . , q}. The new graphs given by these constructions include those with parameter...

The aim of this study was to evaluate the effect of sex determination procedures in Day 7 to Day 8 bovine embryos of various quality. For the purposes of comparison we used high quality (HQ) as well as lower quality (LQ) embryos obtained from superovulated donors. The healthy embryonic cells isolated from HQ embryos and blastomeres protruding into the perivitelline space of LQ embryos, were ana...