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1.
Vassili Nestoridis Sebastian Schmutzhard Vangelis Stefanopoulos 《Journal of Approximation Theory》2011,163(12):1783-1797
We prove the existence of series ∑anψn, whose coefficients (an) are in ∩p>1?p and whose terms (ψn) are translates by rational vectors in Rd of a family of approximations to the identity, having the property that the partial sums are dense in various spaces of functions such as Wiener’s algebra W(C0,?1), Cb(Rd), C0(Rd), Lp(Rd), for every p∈[1,∞), and the space of measurable functions. Applying this theory to particular situations, we establish approximations by such series to solutions of the heat and Laplace equations as well as to probability density functions. 相似文献
2.
Klaus Merz Stefan Martin Vassili Pintchouk Hans Pritzkow Matthias Driess 《Phosphorus, sulfur, and silicon and the related elements》2013,188(1)
Abstract The reactions of primary silylphosphanes and -arsanes 1 with BuLi yield the three-dimensional M2ER-aggregates 2 (E = P, As). We observed that the double lithiation of 1 in the presence of Li2O results in the formation of the aggregates 3 and 4. 相似文献
3.
基于两段相同金属分裂环谐振器构成的单层结构, 从理论及实验方面研究了平面超材料的可调谐Fano谐振. 实验测量了平面超材料对TE和TM入射波的电磁响应, 利用电磁波的入射角度控制Fano谐振的强度, 实现了谐振的开关特性, 谐振频率红移可达到21%. 基于有限元法给出了平面超材料的场分布, 强的正常色散表明平面超材料的电磁响应可类比经典电磁诱导透明现象, 仿真与实验结果相符合. 对称结构超材料Fano谐振的开/关特性为超材料性能的可调谐控制提供了有效途径. 相似文献
4.
5.
Christiane Auray-Blais Pamela Lavoie Shunji Tomatsu Vassili Valayannopoulos John J. Mitchell Julian Raiman Maxime Beaudoin Bruno Maranda Joe T.R. Clarke 《Analytica chimica acta》2016
Mucopolysaccharidoses (MPSs) are a group of disorders resulting from primary defects in lysosomal enzymes involved in the degradation of glycosaminoglycans (GAGs). Depending on the specific enzyme defect, the catabolism of one or more GAGs is blocked leading to accumulation in tissues and biological fluids. GAG measurements are important for high-risk screening, diagnosis, monitoring treatment efficacy, and patient follow up. The dimethylmethylene blue (DMB) spectrophotometric method commonly used in most biochemical genetics laboratories relies on a non-specific total GAG analysis which has led to false positive results, and even false negative results (mainly for MPS III and IV patients). The main objective of our project was to devise and validate a reliable tandem mass spectrometry multiplex analysis for the urine quantitation of four GAGs (dermatan sulfate (DS), heparan sulfate (HS), keratan sulfate (KS), and chondroitin sulfate (CS)) for an eventual technological transfer to the clinic. The developed methodology is rapid (7 min) and our results showed good intraday and interday precision (RSDs ≤ 8.7%) and accuracy (Biases range: −12.0%–18.4%). Linearity was good (r2 > 0.995) for DS, HS, CS, and KS calibration curves. In comparison with the DMB spectrophotometric method, this multiplex tandem mass spectrometry method allows GAG fractionation, thus a differentiation of MPS types, except for MPS I and II which are characterized by the same GAG profile. The devised method is a useful and reliable tool for diagnosis of MPS patients, as well as their monitoring and follow up, as shown by longitudinal studies. 相似文献
6.
We study Hamiltonian systems which depend slowly on time. We show that if the corresponding frozen system has a uniformly
hyperbolic invariant set with chaotic behaviour, then the full system has orbits with unbounded energy growth (under very
mild genericity assumptions). We also provide formulas for the calculation of the rate of the fastest energy growth. We apply
our general theory to non-autonomous perturbations of geodesic flows and Hamiltonian systems with billiard-like and homogeneous
potentials. In these examples, we show the existence of orbits with the rates of energy growth that range, depending on the
type of perturbation, from linear to exponential in time. Our theory also applies to non-Hamiltonian systems with a first
integral. 相似文献
7.
8.
In the present article we obtain generic approximations, under sharp conditions, of holomorphic functions on arbitrary open sets by sequences of their Padé approximants. Similar results hold for functions smooth on the boundary of their domain of definition. In addition, the approximation is valid simultaneously with respect to all centers of expansion. 相似文献
9.
10.
We provide with a simple and explicit construction of a function in the disc algebra, whose derivatives enjoy a disjoint universal property near the boundary. The set of functions with such property is topologically generic, densely lineable, and spaceable. 相似文献