On the Upper Bound of Second Eigenvalues for Uniformly Elliptic Operators of any Orders

Abstract Let Ω R~m(m≥1)be a bounded domain with piecewise smooth boundary Ω.Let t and r bepositive integers with t>r+1. We consider the eigenvalue problems(1.1)and(12),and obtain Theorem 1and Theorem 2, which generalize the results in[1,2.5].     

掺杂金属颗粒的高分子工质激光推进实验研究

 利用大功率脉冲TEA-CO₂激光器作为光源,对不同元素、浓度以及颗粒直径金属掺入PVC的靶材进行了测试。结果发现,不同元素种类以及不同颗粒直径的金属掺杂后的PVC靶材的冲量耦合系数变化不大,但在不同功率密度处,比冲均有显著提高,其中纳米Fe粉性能最为优异。在功率密度为5×10⁶ W/cm²处,50%纳米Fe粉质量分数的靶材的比冲出现最大值。在大气环境下,对于掺有20%纳米Zn粉质量分数的PVC靶材,其冲量耦合系数随激光功率密度的提高而先升后降,比冲并不优异于比其熔点更高的Fe粉和Ni粉掺杂。     

小微企业信用风险评估的IDGSO-BP集成模型构建研究

针对传统BP神经网络在小微企业信用风险评估实际应用中,随机初始权值和阈值导致网络学习速度慢、易陷入局部解以及运算结果误差较大等缺陷,借助群智能萤火虫(GSO)算法,提出一种基于改进离散型萤火虫(IDGSO)算法的BP神经网络集成学习算法的小微企业信用风险评估IDGSO-BP模型。该模型以BP神经网络为基本框架,在学习过程中引入离散型萤火虫算法,优化设计神经网络的网络结构与连接权值,得到一组相对合适的权值与阈值,再进行新一轮网络训练,以“均平方误差最小”为评价准则,产生网络的输出结果,以此建立小微企业信用风险评估模型。其仿真实验结果表明,该模型在收敛速度及运算精度方面较传统BP神经网络模型、遗传GA-BP模型及连续GSO-BP模型有较明显优势。因此,IDGSO-BP模型可以有效提高小微企业信用风险评估的准确性。     

花菁-脱氧核糖核酸的共振光散射光谱及其分析应用

研究了一种苯并噻唑阳离子花菁与脱氧核糖核酸(DNA)作用的共振光散射光谱,在pH 6.0的六次甲基四胺-HCl缓冲介质中,痕量DNA的加入使花菁在590nm的共振光散射强度显著增强。在最佳实验条件下,增强的共振光散射强度与DNA浓度具有良好的线性关系,据此建立了一种测定DNA的共振光散射光谱法。方法的线性范围为:小牛胸腺DNA(CT DNA),0～20μg/mL,鱼精子DNA(FS DNA),0～15μg/mL;检出限分别为0.005μg/mL和0.008μg/mL。该方法已用于合成样品中DNA的测定。     

Semi-Synthesis and In Vitro Anti-Cancer Evaluation of Magnolol Derivatives

Magnolol (MAG), a biphenolic neolignan, has various biological activities including antitumor effects. In this study, 15 MAG derivatives were semi-synthesized and evaluated for their in vitro anticancer activities. From these derivatives, compound 6a exhibited the best cytotoxic activity against four human cancer cell lines, with IC₅₀ values ranging from 20.43 to 28.27 μM. Wound-healing and transwell assays showed that compound 6a significantly inhibited the migration and invasion of MDA-MB-231 cells. In addition, Western blotting experiments, performed using various concentrations of 6a, demonstrated that it downregulates the expression of HIF-1α, MMP-2, and MMP-9 in a concentration-dependent manner. Overall, these results suggest that substituting a benzyl group having F atoms substituted at the C2 position on MAG is a viable strategy for the structural optimization of MAG derivatives as anticancer agents.     

一类催化抑制系统反应扩散方程的奇摄动(英文)

研究了一类奇摄动非线性催化抑制系统反应扩散方程.在适当的条件下,首先求出了原问题的外部解,然后利用伸长变量、多重尺度和幂级数展开理论构造出解的形式渐近展开式最后利用微分不等式理论讨论了问题解的一致有效性和渐近性态.     

公司创业投资的薪酬激励问题分析

公司创业投资的财务收益和战略收益取决于投资企业和公司创投家的投入。本文运用博弈模型分析了公司创业投资的薪酬激励问题,结果表明:薪酬激励对公司创投家的努力程度具有正面影响,而对投资企业的支持力度具有负面影响。投资企业和公司创投家的能力与薪酬激励强度分别呈反向和正向关系,与对方的努力(支持)呈反向关系。项目战略利益与薪酬激励的关系则取决于投资企业和公司创投家能力的相对强弱。在此基础上,本文尝试为研究和实践提出相关建议。     

An rhodamine-based fluorescence probe for iron(III) ion determination in aqueous solution

An “off-on” rhodamine-based fluorescence probe for the selective signaling of Fe(III) has been designed exploiting the guest-induced structure transform mechanism. This system shows a sharp Fe(III)-selective fluorescence enhancement response in 100% aqueous system under physiological pH value and possesses high selectivity against the background of environmentally and biologically relevant metal ions including Al(III), Cd(II), Fe(II), Co(II), Cu(II), Ni(II), Zn(II), Mg(II), Ba(II), Pb(II), Na(I), and K(I). Under optimum conditions, the fluorescence intensity enhancement of this system is linearly proportional to Fe(III) concentration from 6.0 × 10⁻⁸ to 7.2 × 10⁻⁶ mol L⁻¹ with a detection limit of 1.4 × 10⁻⁸ mol L⁻¹.     

在光电效应实验中测量光电管的基本特性

在光电效应测量普朗克常数实验装置的基础上介绍了测量光电管的光频特性、伏安特性和光照特性的实验方法,给出了相应的实验结果,拓宽了实验内容、增强学生综合实验能力。     

Two-leg spin ladder model for Ag2VOP2O7 from mapping analysis based on first principles density functional calculations

The magnetic properties of Ag₂V OP₂O₇ were examined by evaluating its spin exchange interactions in terms of spin dimer analysis based on tight binding calculations and mapping analysis based on first principles density functional theory calculations. Both calculations show that a strong spin exchange interaction occurs through the super-superexchange path J₁ with the V…V distance of 5.293 Å. This strong antiferromagnetic interaction forms isolated spin dimer units, which are coupled antiferromagnetically by the spin exchange path J₃ to form a two-leg spin ladder that has no spin frustration. The inter–dimer interaction J₂ is found to be ferromagnetic, and does not lead to spin frustration.