Regularity estimates for solutions of the equations of linear elasticity in convex plane polygonal domains

The Dirichlet problem for the plane elasticity problem on a convex polygonal domain is considered and it is proved that for data in L ² the H ² regularity estimate holds with constants independent of the Lamé coefficients.     

Measuring spatial coherence by using a mask with multiple apertures

A simple method to measure the complex degree of spatial coherence of a partially coherent quasi-monochromatic light field is presented. The Fourier spectrum of the far-field interferogram generated by a mask with multiple apertures (small circular holes) is analyzed in terms of classes of aperture pairs. A class of aperture pairs is defined as the set of aperture pairs with the same separation vector. The height of the peaks in the magnitude spectrum determines the modulus of the complex degree of spatial coherence and the corresponding value in the phase spectrum determines the phase of the complex degree of spatial coherence. The method is illustrated with experimental results.     

The Studies of 13C NMR Chemical Shifts and Induced Lanthanide Shift Reagent Cis-trans Isomerization of N-Cinamylidene-hexyl,t-butyl and Substituted Aryl-Amines

The Carbon-13 chemical shifts of N-Cinamylidenehexyl, t-butyl and sixteen substituted aryl amines were analysed. The lanthanide induced carbon-13 chemical shifts of the cis and trans of four N-cinamylidene substituted anilines were analysed. The spectra N-cinamylidene hexylamine showed only the trans form. The cis/trans ratio of N-cinamylidene aryl amines increased as the LSR concentration increased.     

两种D III型有界对称域的逆ABEL变换

利用bc     

The Measure-Preserving Shift on the Cantor Set

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High-temperature Water–Gas Shift catalysts for hydrogen enrichment of a gas produced by biomass steam gasification

To improve the hydrogen content of a biomass steam gasification syngas, Water–Gas Shift Fe/CeO₂ catalysts supported on ceramic foams were developed. The impregnation of ceria as washcoat led to an increase in the support surface area (BET) and to the formation of well-dispersed iron particles (XRD and TPR) by iron oxide impregnation. Catalytic tests were performed at atmospheric pressure with minor pressure drops, under a gas mixture similar to that produced at the gasifier outlet. A satisfactory CO conversion and a large increase in H₂ content were reached by adjusting the operating parameters of the WGS and the catalysts’ composition. After-test characterizations indicated in situ catalysts activation with no over-reduction and a positive action of ceria on iron dispersion and sintering prevention.     

波士顿矩阵法在河南承接产业转移中的应用

承接产业转移是加速区域经济发展的"助推器",提升产业集聚能力是提高区域产业竞争力的关键,如何科学地选择承接产业,并提升产业集聚能力是河南亟待解决的问题.选取2010年和2014年两个时点,运用产业梯度系数和产业动态集聚指数对工业进行分行业分析,并借鉴波士顿矩阵分析法将其划分为明星、金牛、问题、瘦狗和衰退等产业.根据河南的自然资源、劳动力、区位条件、市场需求等比较优势,并考虑产业集聚发展的能力,来确定河南承接产业转移的重点产业.     

Permutations and β-shifts

Given a real number β>1, a permutation π of length n is realized by the β-shift if there is some x∈[0,1] such that the relative order of the sequence x,f(x),…,fn−1(x), where f(x) is the fractional part of βx, is the same as that of the entries of π. Widely studied from such diverse fields as number theory and automata theory, β-shifts are prototypical examples of one-dimensional chaotic dynamical systems. When β is an integer, permutations realized by shifts were studied in Elizalde (2009) [5]. In this paper we generalize some of the results to arbitrary β-shifts. We describe a method to compute, for any given permutation π, the smallest β such that π is realized by the β-shift. We also give a way to determine the length of the shortest forbidden (i.e., not realized) pattern of an arbitrary β-shift.     

氮杂多环芳烃~（13）C－NMR化学位移的理论探讨

本文主要是对氮原子以ｓｐ~２杂化，孤氮电子占据ｓｐ~２杂化轨道，以这种形式成键的氮杂交变多环芳烃中的１１个化合物的~（１３）Ｃ－ＮＭＲ的化学位移进行了计算。该计算依据ＣＮＤＯ方法一个联系分子电荷密度，键级和键长等参数的半经验公式。同时利用环电流、空间效应以及针对氮原子的屏蔽效应和去屏蔽效应的影响，通过分子动力学的考虑，得到理论上计算的化学位移，该计算结果与实验值吻合得很好，通过时~（１３）Ｃ－ＮＭＲ化学位移的回归分析表明，回归系数达到０．９９，非常好地反映了氮杂多环芳烃~（１３）Ｃ－ＮＭＲ化学位移与分子微观结构之间的关系，同时表明我们在处理诸多化学位移时考虑到的因素是合理可行的。     

Reflexivity of Operator Weighted Shifts

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