Infinitely Many Sign-changing Solutions for a Schr(o)dinger Equation in RN

We consider the existence of infinitely many sign-changing solutions for the nonlinear timeindependent schr(o)dinger equations of the form {-△u+Vλ(x)u=f(u), u∈H1(RN), (1.1) where Vλ(x) = λα(x) + 1.     

OADM环网的实验研究

研究了光分插复用器(OADM)的关键技术,重点分析了相关的实现技术,完成了利用OADM构建全光环网的实验研究,给出了重要的实验数据,包括眼图、光谱图、光信噪比、保护与恢复等,并对这些实验数据进行了分析,为光传送网的设计与构建提供了重要的参考依据.     

Energy Density in Quark-Gluon Plasma

We study the energy density in quark-gluon plasma. At the very high temperature, the quark matter is a hot and dense matter in the colour deconfinement condition, and quarks can coalescent diquarks. Energy density of this system is worked out and compared with the energy density in the other two kinds of situations. Possible energy density is about ε0≈2.4 GeV/fm^3 according to our estimation for quark matter including diquarks.     

Self-assembly behaviour of amphiphilic diblock copolymer in selective solvents studied by synchrotron small-angle x-ray scattering

The aggregation behaviour of styrene-vinyl benzoic acid (PSm-b-PVBAn) amphiphilic diblock copolymers in selective solvents with different m and n was investigated by synchrotron small-angle x-ray scattering (SAXS). We have carried out a detailed analysis of scattering intensity, dimension, shape and microstructure of the diblock copolymers of narrow distribution in water, methanol, ethanol and isopropanol selective solvents, respectively. We have found that the aggregation behaviour of the copolymer depends on the nature of the solvent and the micelle forms fiat disc objects with the ratio of radius ω=0.4. The average radius gyration Rg of the copolymer decreases as solvents change from isopropanol to ethanol and to methanol, and increases with increasing pH in aqueous solution, but decreases with the addition of COCl2 in ethanol solvent. The scattering intensity of diblock copolymer micelle follows I(h) ∝ h^-α in different selective solutions, suggesting that the PSm-b-PVBAn coils have self-similar structure behaviour or a fractal structure in the selective solvents. All of these revealed that the aggregation behaviour of the diblock copolymer changes dramatically with experimental condition in the selective solvent. The increase of mass fractal dimension (Dm) from 2.12 to 2.47 indicates that the copolymer chain changes from a swollen coil to a rather compact disc in the course of changing solvents, decreasing surface fractal dimension (Ds) from 2.98 to 2.58 indicates that the copolymer micelle change from a rather rough surface to a smooth form in the course of increasing pH in aqueous solutions, and increasing Dm and Ds from 2.29 to 2.35 and 2.70 to 2.90, respectively, indicates the shrinkage of copolymer micelle to a rather compact and rough disc form by adding COCl2 in ethanol solvents.     

急性缺氧条件下EP、CM、CAP以及耳蜗毛细胞的形态学变化

本实验用同一根玻璃微电极在豚鼠耳蜗中阶记录ＥＰ（ＥｎｄｏｃｏｃｈｌｅａｒＰｏｔｅｎｔｉａｌ，耳蜗内电位）、ＣＭ（ＣｏｃｈｌｅａｒＭｉｃｒｏｐｈｏｎｉｃｓ，耳蜗振电压）、ＣＡＰ（ＣｏｍｎｏｕｎｄＡｃｔｉｏｎＰｏｔｅｎｔｉａｌ，复合动作电位），观察在不同缺氧状态下，三者动态变化过程．发现在缺氧初始（１—２分钟），ＣＭ和ＣＡＰ随ＥＰ同步迅速下降；但缺氧３—６分钟时，ＣＭ下降缓慢，似一“平台”，而ＣＡＰ和ＥＰ继续同步下降；缺氧７—１２分钟时，三者又倾于平行。扫描电镜观察：ＩＨＣ（内毛细胞）表面由底四到三圈出现广泛分泌物和球状物，ＯＨＣ汐（毛细胞）表面出现局限性分泌物和球状物，静纤毛融合。结果表明：ＯＨＣ和ＩＨＣ的功能状态与氧代谢密切相关，ＣＭ直接受ＯＨＣ和ＩＨＣ结构变化的影响。ＣＭ下降过程中的平台，则可能与盖膜（ＴＭ）的压电效应有关。ＣＡＰ的变化不完全依赖于ＣＭ。     

GaAs1-xPx中混晶无序与Fe深中心的性质

对不同组分的掺FeⅢ-Ⅴ族混晶GaAs1-xPx,测量了Fe深受主中心空穴热发射的非指数恒温暗电容瞬态及DLTS谱。用混晶无序使Fe深能级展宽的模型理论拟合实验结果,得到Fe能级Gauss型展宽的半宽和中心能级的热发射率,并确定出基态空穴跃迁的中心能级的焓变与组分的关系:先是减少,而后增大,与由光电容方法得到的Gibbs自由能变量与组分x的关系明显不同。 进一步讨论表明,上述两种测量方法得到的Fe中心的激活能不同,可能反映Fe中心的键合状态和混晶无序诱导的品格弛豫的影响。     

带强迫项变系数组合KdV方程的显式精确解

通过构造两个新的Riccati方程组，推广了Riccati方法，使其具有简洁的形式，丰富和发展了已有的结果，借助Mathematica软件，求出了带强迫项变系数组合KdV方程的一些精确解，包括各种类孤波解、类周期解和变速孤波解. 关键词： Riccati方程组 变系数组合KdV方程 强迫项 类孤波解     

弱概周期微分方程的弱概周期解

本文利用微分方程的指数型三分性给出了弱概周期微分方程的弱概周期解的存在性定理,并讨论了弱概周期微分方程的一些性质,从而改进了文献[2—7]中的一些结果.     

寻找规律解赛题

在线段AB上,先在A点标注0,在B点标注2002,这称为第一次操作;然后在AB中点为C处标注0+2002/2=1001,称为第二次操作;又分别在得到的线段AC、BC的中点D、E处标注对应线段两端所标注的数字和的一半,即0+1001/2与1001+2002/2,称为第三次操作;照此下去,经过11次操作之后,在线段AB上所有标注的数字和是多少? 首先,寻找标注数字的规律.为了寻找规律,设B点标注的数字为m,则:     

基于TMS320VC5416的计算装置设计

TMS320VC5416是TI公司生产的一款低功耗高性能：定点16位数字信号处理器，工作频率可达150MHz，具有很强的数字信号处理能力。采用基于TMS320VC5416的数字处理装置能够完成较复杂的数据采集、传输、处理和仿真通信功能。经过不断调试并改进，该计算装置在下面两方面取得初步成效。