On existence and multiplicity of positive solutions to singular multi-point boundary value problems

The existence and multiplicity of positive solutions are established for the multi-point boundary value problem

     

Co-contributions of the magnetostriction and magnetoresistance to the giant room temperature magnetodielectric response in multiferroic composite thin films

The magnetodielectric properties of BSPT/LSMO multiferroic composite thin films were investigated through the measurement of the frequency dependence of the dielectric constant under different magnetic fields at room temperature. The magnetodielectric (MD) response showed strong frequency dependence: at 100 Hz, the MD response remained negative and the maximum value of ?1.1% was obtained; at 52 kHz, the dielectric constant first decreased and then rose linearly with the magnetic field until the giant room temperature positive MD effect of 9.5% was derived under 7 T. The observed unique MD effects for BSPT/LSMO were attributed to the co-contributions of the magnetostriction and magnetoresistance.     

一个求留数方法的注记

对解析函数f（z）＝p（z）/q（z）,当z=a分别是p（z）和q（z）的m级零点和n级零点,且0≤m＜n时,特别地n＝m＋2时,讨论了求f（z）在极点z=a处留数的方法并举例说明其应用.     

Solid‐phase extraction based on a molecularly imprinted polymer for the selective determination of four benzophenones in tap and river water

This work reports the preparation of molecularly imprinted polymer particles for the selective extraction and determination of four benzophenones from aqueous media. The polymer was prepared by using 4‐vinylpridine as functional monomer, ethylene glycol dimethacrylate as cross‐linker, acetonitrile as porogenic solvent and 2,2’,4,4’‐tetrehydroxybenzophenone as template. Good specific adsorption capacity (Q_max = 27.90 μmol/g) for 2,2’,4,4’‐tetrehydroxybenzophenone was obtained in the sorption experiment and good class selectivity for 2,2’,4,4’‐tetrehydroxybenzophenone, 2,4‐dihydroxybenzophenone, 2,2’‐dihydroxy‐4‐methoxybenzophenone, 2,2’‐dehydroxy‐4,4’‐dimethoxybenzophenone was demonstrated by the chromatographic evaluation experiment. Factors affecting the extraction efficiency of the molecularly imprinted solid‐phase extraction procedure were investigated systematically. An accurate and sensitive analytical method based on the molecularly imprinted solid‐phase extraction coupled with high‐performance liquid chromatography and diode array detection has been successfully developed for the simultaneous determination of four benzophenones from tap water and river water with method detection limits of 0.25–0.72 ng/mL. The recoveries of benzophenones for water samples at two spiking levels (500 and 5000 ng/mL for each benzophenone) were in the range of 86.9–103.3% with relative standard deviations (n = 3) below 9.2%.     

维持性血液透析患者血清铁调素水平与心血管疾病的关系研究

目的观察分析维持性血液透析患者血清铁调素水平与心血管疾病的关系。方法选择惠州市第三人民医院2014年12月至2016年12月期间收治的维持性血液透析患者54例作为观察组,包含20例患者出现心血管疾病,另外选择接受体检的健康人25例作为对照组。结果观察组患者的血清铁调素水平、晚期氧化蛋白物及IL-6均显著高于对照组,比较差异具有统计学意义(P0.05);观察组发生心血管疾病患者血清铁调素水平显著高于非心血管疾病患者,数据比较差异具有统计学意义(P0.05)。结论血液透析患者血清铁调素水平与心血管疾病具有相关性,即可作为血透患者发生心血管疾病的新的独立危险因素,但需要进一步验证。     

Role of inter-diffusion on the crystallization dynamics in polyethylene/poly(ethylene-alt-propylene) blend system

Influence of inter-diffusion on the crystallization dynamics in polyethylene/poly(ethylene-alt-propylene) (PE/PEP) blends was studied by a combination of optical microscopy (OM), differential scanning calorimetry (DSC), and Fourier transform infrared spectroscopy (FTIR). OM measurements showed that the crystal nuclei may be first generated at phase separated interface where concentration fluctuation is greatly enhanced in the temperature quench process. After the formation of crystal nuclei, the only crystallizable components, PE chains, are necessary to reach the nucleation site via inter-diffusion to continue the secondary nucleation and growth process. DSC showed that there is only one 96 °C crystallization peak when PE (M(W) = 52 kg/mol) is blended with low molecular weight PEP (M(W) = 32 kg/mol); while there are two crystallization peaks, which are 96 °C and 72 °C, respectively, when the same PE is blended with high molecular weight PEP (M(W) = 110 kg/mol). The origin of the 72 °C crystallization peak was studied by DSC isothermal crystallization and time resolved FTIR. It was proved that the 72 °C crystallization peak is resulted from the smaller inter-diffusion coefficient in the PEP-rich region. Both slow mode theory and fast mode/constraint release models of inter-diffusion can be used to explain the smaller inter-diffusion coefficient in the PEP-rich region, which dynamically results in the disappearance of the 72 °C crystallization peak after isothermal crystallization at 90 °C for 60 min. Therefore, inter-diffusion plays an important role on crystallization dynamics in multi-component and multi-phase polymeric blends.     

基于同步辐射原位CT的水牛角结构性能关系研究

为探究水牛角的结构性能关系,基于上海同步辐射光源搭建了高分辨原位CT系统,对水牛角角鞘进行初始表征和准静态压缩下的实时表征,并通过Top-Hat方法提取了角鞘内孔洞三维形貌。结果显示,水牛角角鞘孔隙率在1%左右,椭圆柱状孔洞沿牛角生长方向排列成线,首尾相连却并未连通,均匀分布在波浪状片层之间。孔洞特征椭球的轴长分布满足对数正态分布,长轴和短轴的长度均值分别为7μm和3μm。原位CT结果表明,角鞘在屈服之后,初始孔洞首先扩张而形成微裂纹,随后微裂纹沿着片层界面由外向内发生桥接,片层发生局部屈曲和层间开裂,形成宏观裂纹,导致角鞘内裂纹密度急剧上升。片层之间不仅存在大量纤维黏接(提高了层间拉伸/剪切强度),而且孔洞互不连通,这些因素抑制了层间裂纹的快速传播,使得各处裂纹只能独立缓慢发展而无法贯通样品。波浪状片层使裂纹传播路径更加曲折,层间屈曲增加了片层摩擦耗能。这些机制使得牛角表现出加工硬化,也是牛角在纵向方向呈现优良韧性的主要原因。     

600 kJ供能系统及其在轨道炮中的应用

 本文介绍了一种适合于电磁轨道炮使用的600 kJ供能系统。初级能源是电容器组。经过短路开关和电感储能线圈组成的转换电路，把能量输送给轨道炮。系统的主控开关和短路开关是金属接触型固体介质爆炸开关。本文推荐了一种爆炸开关闭合电阻随时间变化的经验模型。这套供能系统经过实验证明，它运行可靠、性能稳定。     

Connectivity of a general class of inhomogeneous random digraphs

We study a family of directed random graphs whose arcs are sampled independently of each other, and are present in the graph with a probability that depends on the attributes of the vertices involved. In particular, this family of models includes as special cases the directed versions of the Erd?s‐Rényi model, graphs with given expected degrees, the generalized random graph, and the Poissonian random graph. We establish a phase transition for the existence of a giant strongly connected component and provide some other basic properties, including the limiting joint distribution of the degrees and the mean number of arcs. In particular, we show that by choosing the joint distribution of the vertex attributes according to a multivariate regularly varying distribution, one can obtain scale‐free graphs with arbitrary in‐degree/out‐degree dependence.