On a class of Riemann surfaces

It is considered the class of Riemann surfaces with dimT1 = 0, where T1 is a subclass of exact harmonic forms which is one of the factors in the orthogonal decomposition of the spaceΩH of harmonic forms of the surface, namely The surfaces in the class OHD and the class of planar surfaces satisfy dimT1 = 0. A.Pfluger posed the question whether there might exist other surfaces outside those two classes. Here it is shown that in the case of finite genus g, we should look for a surface S with dimT1 = 0 among the surfaces of the form Sg\K , where Sg is a closed surface of genus g and K a compact set of positive harmonic measure with perfect components and very irregular boundary.     

A way of constructing translation network operators by Bernstein operators

In the present paper,we provide a way of constructing translation network operators by Bernstein-Durrmeyer operators.     

量子化学和统计热力学结合的实验:确定过氧化氢二面角

介绍一个面向高年级本科生的计算化学实验。通过量子化学计算与统计热力学方法相结合,预测了298 K时过氧化氢的二面角,并与实验值进行比较。通过这一应用实例,使学生能够深入理解结构化学和物理化学的相关理论知识,尤其是对统计热力学的本质有一个直观认识,提升学生利用统计热力学处理科学问题的能力。     

人体毛发中氯胺酮及其代谢物的超高效液相色谱-串联质谱法检验及含量统计分析

建立了一种高动能研磨结合超高效液相色谱－串联质谱（UPLC－MS/MS）快速检验毛发中氯胺酮及其代谢物的方法,并考察了清洗程序和提取方法对氯胺酮及其代谢物检出效果的影响。确定最佳实验方法为：50 mg头发经0.1%十二烷基硫酸钠、超纯水和丙酮清洗2次后取20 mg置于专用研磨管内,加入1 mL甲醇,使用球磨仪以3 000 r/min研磨3 min,超声2 h,离心过膜进样。结果显示：毛发中氯胺酮、去甲氯胺酮和羟基去甲氯胺酮含量分别在0.01～5.0、0.01～5.0、0.05～5.0 ng/mg范围内线性关系良好,相关系数（r）均大于0.99,回收率为86.7%～106%,基质效应为88.1%～99.6%,日内及日间精密度分别为0.72%～4.1%和1.9%～6.3%。采用该方法检测了50份实际毛发样本,并对氯胺酮、去甲氯胺酮和羟基去甲氯胺酮在阳性毛发中的含量数据进行统计,分析了毛发中氯胺酮及其两种主要代谢物的含量分布情况及原药与代谢物的含量关系,50份真实毛发样本中氯胺酮的最低含量为0.30 ng/mg,羟基去甲氯胺酮与氯胺酮的含量相近且去甲氯胺酮与氯胺酮之间的含量比率为0.05～0.60。该研究结果可为禁毒人员处理涉毒案件提供理论支撑与方法参考。     

化学工业出版社化学专业图书推荐

<正>化学化工文献检索与应用(第二版)陈琼、朱传方、辜清华编著本书在第一版的基础上,为更好地适应现阶段文献检索的需要,详细介绍了文献基础知识、化学化工专业领域的重点科技图书与期刊的同时,重点介绍了化学领域各类期刊数据与     

摩擦接触问题数学规划法的收敛性和算法的改进

对摩擦接触问题的数学规划法进行了收敛性分析，并对算法提出一种改进，对“较小”摩擦系数问题改进算法严格保证收敛。在“较大”摩擦系数情形，问题提法本身有可能发生解不唯一和不存在现象。     

玻璃态高聚物细观损伤断裂统计力学

对玻璃态高聚物内部细观损伤断裂判据、机理、动力学及统计模型的最新进展，进行了较为全面、系统的介绍和总结，并简要概述了细观损伤统计描述在金属材料及玻璃态高聚物领域里的应用。     

Theoretical statistical solution and numerical simulation of heterogeneous brittle materials

The analytical stress-strain relation with heterogeneous parameters is derived for theheterogeneous brittle materials under a uniaxial extensional load, in which the distributions of theelastic modulus and the failure strength are assumed to be statistically independent. This theoreticalsolution gives an approximate estimate of the equivalent stress-strain relations for 3-D heterogeneousmaterials. In one-dimensional cases it may provide comparatively accurate results. The theoreticalsolution can help us to explain how the heterogeneity influences the mechanical behaviors, Further, anumerical approach is developed to model the non-linear behavior of three-dimensional heterogeneousbrittle materials. The lattice approach and statistical techniques are applied to simulate the initialheterogeneity of heterogeneous materials. The load increment in each loading stage is adaptivelydetermined so that the better approximation of the failure process can be realized. When the maximumtensile principal strain exceeds the failure strain, the elements are considered to be broken, which canbe carried out by replacing its Young‘s modulus with a very small value. A 3-D heterogeneous brittlematerial specimen is simulated during a full failure process. The numerical results are in good agreementwith the analytical solutions and experimental data.     

GENERALIZED FINITE SPECTRAL METHOD FOR 1D BURGERS AND KDV EQUATIONS

A generalized finite spectral method is proposed. The method is of high-order accuracy. To attain high accuracy in time discretization, the fourth-order Adams-Bashforth-Moulton predictor and corrector scheme was used. To avoid numerical oscillations caused by the dispersion term in the KdV equation, two numerical techniques were introduced to improve the numerical stability. The Legendre, Chebyshev and Her-mite polynomials were used as the basis functions. The proposed numerical scheme is validated by applications to the Burgers equation (nonlinear convection- diffusion problem) and KdV equation (single solitary and 2-solitary wave problems), where analytical solutions are available for comparison. Numerical results agree very well with the corresponding analytical solutions in all cases.     

PATH INTEGRAL SOLUTION OF NONLINEAR DYNAMIC BEHAVIOR OF STRUCTURE UNDER WIND EXCITATION

IntroductionThe dynamic behavior of the nonlinear structure under wind excitation has beenobserved very complicated.Taking guyed masts as an example,only a few collapsingaccidents occurred under extreme atmospheric conditions[1],many took place under mild…