Although Wiener process models with the consideration of uncertainties, which are nonlinearity, random effects, and measurement errors, have been developed for lifetime prediction in accelerated degradation test (ADT), they fail to describe real because these assume that drift parameter correlates applied stress, while diffusion is constant. This paper put forward a nonlinear doubly constant-st...

We give new constructions of randomness extractors and lossless condensers that are optimal to within constant factors in both the seed length and the output length. For extractors, thismatches the parameters of the current best known construction [LRV03]; for lossless condensers,the previous best constructions achieved optimality to within a constant factor in one parameteronly at ...

Abstract By the use of weight coefficients, idea introduced parameters and technique real analysis, a more accurate Hilbert-type inequality in whole plane with general homogeneous kernel is given, which an extension Hardy–Hilbert’s inequality. An equivalent form obtained. The statements best possible constant factor related to several parameters, operator expressions few particular cases are co...

purpose : to evaluate the biomechanical changes of cornea after intracorneal ring segment (icrs) implantation in keratoconic eyes methods : in this study, 1 or 2 icrs were inserted in 17 keratoconic eyes. best spectacle-corrected visual acuity (bscva), uncorrected visual acuity (ucva), refraction, and keratometry were evaluated preoperatively and 1 and 3 months after surgery. corneal hysteresis...

We study the effect of source and channel coding separation in communication networks. While in general separating source and channel coding is sub-optimal, we show that in all communication networks (noisy or noiseless, wireless or wireline, with memory or memoryless, . . .), with independent Gaussian sources and arbitrary demands, there always exists a separated scheme that achieves a distort...

We show how to build a UC-Secure Oblivious Transfer in the presence of Adaptive Corruptions from Quasi-Adaptive Non-Interactive Zero-Knowledge proofs. Our result is based on the work of Jutla and Roy at Asiacrypt 2015, where the authors proposed a constant-size very e cient PAKE scheme. As a stepping stone, we rst show how a twoow PAKE scheme can be generically transformed in an optimized way, ...

A feedback vertex set of a graph is a subset of vertices that contains at least one vertex from every cycle in the graph. We show that a feedback vertex set approximating a minimum one within a constant factor can be e ciently found in undirected graphs. In fact the derived approximation ratio matches the best constant ratio known today for the vertex cover problem, improving the previous best ...

A feedback vertex set of a graph is a subset of vertices that contains at least one vertex from every cycle in the graph. We show that a feedback vertex set approximating a minimum one within a constant factor can be e ciently found in undirected graphs. In fact the derived approximation ratio matches the best constant ratio known today for the vertex cover problem, improving the previous best ...

In this paper we prove that the best constant in the Sobolev trace embedding H(Ω) ↪→ L(∂Ω) in a bounded smooth domain can be obtained as the limit as ε → 0 of the best constant of the usual Sobolev embedding H(Ω) ↪→ L(ωε, dx/ε) where ωε = {x ∈ Ω : dist(x, ∂Ω) < ε} is a small neighborhood of the boundary. We also analyze symmetry properties of extremals of this last embedding when Ω is a ball.

Abstract In this paper, by virtue of the symmetry principle, applying techniques real analysis and Euler–Maclaurin summation formula, we construct proper weight coefficients use them to establish a reverse extended Hardy–Hilbert’s inequality with multi-parameters. Then, obtain equivalent forms some statements best possible constant factor related several parameters. Finally, illustrate how obta...