关于负超几何分布期望与方差算法的注记

研究了非还原取样模型中负超几何随机变量的联合分布,得到了若干有用的推论.据此给出了负超几何分布的期望和方差的一种分解算法.     

Optimal Control of Nonlinear Fractional-Order Systems with Multiple Time-Varying Delays

Journal of Optimization Theory and Applications - This paper considers an optimal control problem governed by nonlinear fractional-order systems with multiple time-varying delays and subject to...     

Nb掺杂调控CoSeS多级纳米结构用于增强析氢反应

电催化析氢(HER)是清洁制氢的一种有效途径,对于氢经济和氢能产业的发展具有重要意义.金属掺杂是提高电催化剂本征活性的有效方法,导电基底的采用也有利于电荷传输和催化性能的整体提高.尽管已有关于硒化物作为HER催化剂的相关报道,但是合成条件有限、导电性、本征活性的影响,其电催化性能仍有提升的空间.此外,在酸性电解液中的腐蚀和氧化极大限制了催化剂性能的发挥.基于此,本文以氮掺杂碳球为载体,采用金属Nb掺杂、非金属硫硒化物协同以及表面碳包覆的三重策略,将掺杂元素Nb和活性位中心元素Co封装到氮掺杂碳纳米球内并进行连续的硫硒化反应,成功构筑多级纳米结构(Nb-CoSeS@NC)以提高其电催化析氢性能.碳球可为活性位的生长和分散提供足够的空间,同时有效防止活性金属的腐蚀和分解,并阻止金属纳米颗粒的团聚.硫化过程实现了非金属硫元素的掺杂,对于提高硒化物的催化活性和导电性都有重要作用.通过扫描电镜(SEM)、透射电镜(TEM)、X射线衍射(XRD)、拉曼光谱、X射线光电子能谱(XPS)及电催化性能测试,详细研究了Nb-CoSeS@NC独特的纳米结构和电催化制氢性能,并分析了构效关系.XRD结果发现,引入Nb后Co9Se8和CoSe的特征峰移向更高的角度,表明其晶格体积的减小,有助于电荷传输.同时,氮掺杂碳球(NC)在26°可以观察到无定型碳的峰,而石墨碳的D带和G带强度比约为1.05,均表明NC中缺陷的存在,这可以进一步提高碳材料的导电性.SEM和TEM表征显示,催化剂为直径120 nm的均匀的纳米核壳结构,壳层约为30 nm,无明显的团聚和破碎,这是催化剂具有高稳定性的重要原因.表面的褶皱保证了大的活性比表面积,可以大大增加活性位点的数量.同时,催化剂与NC之间的紧密结合可以降低电子传输的阻抗进而改善其稳定性和析氢性能.分析高分辨率的TEM结果发现,Nb掺杂后,Nb-CoSeS@NC中Co₉Se₈的(222)晶面由0.301 nm减小至0.184 nm,与XRD结果相符.XPS表征揭示了引入Nb之后的电子效应.与CoSeS@NC相比,Nb的掺杂使Co 2p向更低的结合能移动,而Se 3d则移向高结合能移动,这是由于Nb导致了更强的电子相互作用.在0.5 M的H₂SO₄中测试催化剂的析氢性能,Nb-CoSeS@NC仅需115 mV的过电位便可以实现10 mA cm^-2的电流密度,Tafel斜率为43 mV dec^-1,优于CoSeS@NC等其他对比样品,且优于大多数掺杂型硒化物电催化剂.经过12 h稳定性测试,电流密度未见明显降低,表明该多级结构催化剂的优异稳定性.Nb-CoSeS@NC提高活性可归因为Nb的掺杂增强了催化剂的电子相互作用,有助于提高的其本征导电性.Nb、Co正离子可以形成氢化物-受体中心,可能会削弱S-H键和Se-H键,并促进H-H键的形成,因此,多元掺杂产生的协同效应可以有效促进HER过程.此外,坚固的氮掺杂纳米碳壳为活性位点的分散提供了足够的空间和优异的电荷传输性能,同时降低了金属活性位腐蚀的可能性.     

Promotion Effect of Gold on Mo/ZSM-5 Catalyst for the Catalytic Cracking of Light Diesel Oil to Increase Propylene Production

Kinetics and Catalysis - Using a modified deposition-precipitation method, a series of Au–Mo/ZSM-5 catalysts with different Au loadings were prepared. The XRD, nitrogen adsorption-desorption,...     

QUALITATIVE ANALYSIS OF DYNAMICAL BEHAVIOR FOR AN IMPERFECT INCOMPRESSIBLE NEO-HOOKEAN SPHERICAL SHELL

IntroductionIn applications, it is commonly considered that the phenomena of cavity formation,growth and run-through of adjacent cavities occur in materials as precursors to failure. Thesephenomena are mainly due to instability of materials. On the other …     

SCATTERING OF CIRCULAR CAVITY IN RIGHT-ANGLE PLANAR SPACE TO STEADY SH-WAVE

Complex function method and multi-polar coordinate transformation technology are used here to study scattering of circular cavity in right-angle planar space to SH-wave with out-of-plane loading on the horizontal straight boundary. At first, Green function of right-angle planar space which has no circular cavity is constructed; then the scattering solution which satisfies the free stress conditions of the two right-angle boundaries with the circular cavity existing in the space is formulated. Therefore, the total displacement field can be constructed using overlapping principle. An infinite algebraic equations of unknown coefficients existing in the scattering solution field can be gained using multi-polar coordinate and the free stress condition at the boundary of the circular cavity. It can be solved by using limit items in the infinite series which can give a high computation precision. An example is given to illustrate the variations of the tangential stress at the boundary of the circular cavity due to different dimensionless wave numbers, the location of the circular cavity, the loading center and the distributing range of the out-of-plane loading. The results show the efficiency and effectiveness of the method introduced here.     

二维直角平面内固定圆形夹杂对稳态入射反平面剪切波的散射

利用复变函数法、多极坐标及傅立叶级数展开技术求解了二维直角平面内固定圆形夹杂对稳态入射反平面剪切（shearing horizontal, SH）波的散射问题。首先构造出介质内不存在夹杂时的入射波场和反射波场,然后建立介质内存在夹杂时由夹杂边界产生的能够自动满足直角边应力自由条件的散射波解，从而利用叠加原理写出介质内的总波场。利用夹杂边界处位移条件和傅立叶级数展开方法列出求解散射波中未知系数的无穷代数方程组，在满足计算精度的前提下通过有限项截断，得到相应有限代数方程组的解，最后通过算例具体讨论了二维直角平面水平边界点的位移幅度比和相位随量纲一波数、入射波入射角及夹杂位置的不同而变化的情况，结果表明了算法的有效实用性。     

Nonexistence of Solutions for Nonlinear Differential Inequalities with Singularities on Unbounded Sets

Mathematical Notes - We study some new Liouville theorems for nonlinear differential inequalities with gradient terms and singular variable coefficients that have singularities on unbounded sets....     

Almost Fuzzy Compactness in L-fuzzy Top ological Spaces

In this paper, the notion of almost fuzzy compactness is defined in L-fuzzy topological spaces by means of inequality, where L is a completely distributive DeMorgan algebra. Its properties are discusse...