图像分割中的偏微分方程模型解的存在性分析

该文研究一类基于水平集的偏微分方程图像分割模型的解的存在性问题,使用偏微分方程理论和图像处理中的偏微分方程粘性解理论,从理论上解决了模型的解的存在性问题和唯一性问题,为解决数值计算的迭代收敛性问题提供了理论依据,从而使图像分割模型在实际应用中具有比较强的稳定性。     

浔江防洪堤对西江中下游洪水的归槽影响

基于河道洪水演算原理,建立符合河流水力特性及其变化规律的边滩滞洪水库调节法流量演算模型、校正因数法水位演算模型,利用实测洪水和防洪堤资料进行归槽或还原演算,综合分析防洪堤对洪水归槽的影响。保护区滞洪容积占次洪水总量9．50％的浔江防洪堤对西江中下游洪水过程的归槽影响大于对洪峰的归槽影响,而且洪水类型和干支流组合不同,影响的程度也不相同：对流量过程、洪峰流量影响的最大归槽流量、最大归槽流量比重分别为3680m^3／s、9．63％,2700m^3／s、5．90％,对水位过程、洪峰水位影响的最大变幅为0．60、0．22m。浔江防洪堤造成的洪水归槽并未显著改变西江中下游洪水特性,干支流洪水遭遇、区间降雨和雨洪重叠仍然是形成西江中下游大洪水的主要因素,西江中下游洪涝频繁是气候和流域环境变化综合影响的结果。     

KKM映射和KKM型定理及其相关结果

简要介绍古典的KKM映射的演变过程和KKM理论的发展历史,并给出利用KKM型定理得到的最近的一些重要研究成果,以进一步了解和掌握并研究KKM理论．     

中等浓度含硅铝酸钠溶液深度脱硅过程物理化学性质的研究

通过对脱硅过程中含硅铝酸钠溶液表面张力和黏度的测定,研究脱硅温度、氧化铝浓度、苛性比等因素对溶液的表面张力和黏度的影响.实验结果表明：低温、高浓度、高苛性比的溶液表面张力和黏度较大,反之则较小.通过XRD检测手段对脱硅后的渣相进行分析,用衍射峰与结构的关系解释溶液的表面张力和黏度的变化对硅量指数的影响.     

一类二阶边值问题反对称变号解的存在唯一性

研究了一类二阶边值问题反对称变号解的存在唯一性,利用上下解方法、单调迭代方法及解的延拓技巧研究一类非线性二阶边值问题,得到了该问题反对称变号解的存在唯一性定理,应用该定理说明了一个具体的二阶边值问题具有唯一反对称变号解。     

基于Matlab的展茅流域圩区防洪排涝分析

基于Matlab强大的数学计算功能与友好的界面,针对舟山市普陀区展茅流域进行防洪排涝分析,选择最不利外海潮位和内河水位组合,采用圩区排涝水文模拟法,并利用Matlab软件所提供的三次样条函数拟合、二元散乱点上的插值等工具编程实现了计算．实例说明了该方法应用的有效性．结果表明,该方法计算过程简单,可供工程设计和施工参考．     

矩阵的Hadamard积最小特征值的下界估计

对A和B是非奇异M矩阵,利用著名的Gerschgorin圆盘定理,给出了B和A-1的Hadamard积B。A-1的最小特征值τ(BA-1)新的下界估计式,此下界估计式改进了现有的几个结果,并且这个下界估计式只涉及矩阵A和B的元素,易于计算.例证表明,所得下界估计式要比现有的下界估计式更加精确.     

认知无线电网络中基于检测概率的主用户定位算法

为了解决认知无线电网络中次用户对主用户进行定位的问题,提出了一种加权最小二乘的迭代定位算法。采用两状态马尔可夫模型作为主用户头像模型,能量检测作为次用户的感知模型。该算法可以在不干扰主用户正常工作的情况下,利用次用户之间的合作感知结果进行定位,并估计出主用户的三维地理位置位置信息。提出了一种可以降低定位算法复杂度的简化算法。通过对定位问题进行了理论分析,求出了均方误差的Cramer-Rao理论下界。仿真结果表明,算法的均方误差非常接近理论下界,能有效地估计主用户的三维位置信息,提高定位精度。     

Dynamic mechanical properties of agricultural residues‐filled polystyrene

Agricultural residues (cotton straw) were added as very small particles to polystyrene (PS) at different weight ratios by using a melt‐mixing technique. The dynamic mechanical tests were performed over a wide range of temperatures and frequencies by using an ARES rheometer (Rheometrics Scientific) operated in the dynamic mode. The dynamic mechanical properties in terms of the storage modulus (G′), loss modulus (G″), compliance moduli, loss tangent, and dynamic viscosity were studied and compared for PS and PS composite. The results showed that the dynamic mechanical moduli and viscosity were found to increase with the addition of cotton straw and rise further with its loading increasing. © 2004 Wiley Periodicals, Inc. J Appl Polym Sci 93: 37–40, 2004     

Enhancing thermal and dynamic-mechanical properties of epoxy reinforced by amino-functionalized microcrystalline cellulose

In this study, microcrystalline cellulose (MCC) was chemically modified with 3-(aminopropyl)triethoxysilane and added to epoxy to improve chemical, thermal and dynamic-mechanical characteristics of the composites. The composites were manufactured aided by sonication with 1.0%, 2.5%, or 5.0% wt/wt of untreated MCC or amino-functionalized MCC (MCC-Si). The epoxy/MCC-Si composites showed a decrease in the ─OH band by Fourier-transform infrared spectroscopy, and X-ray diffraction analysis indicated better dispersion. The incorporation of MCC-Si in epoxy resin decreased the heat of reaction, increased activation energy values (E_a) and pre-exponential factor (A), and did not affect thermal degradation. All conversion degree (α) versus temperature curves for the composites showed a sigmoidal shape. MCC-Si composites showed better dynamic-mechanical properties than the MCC counterparts, and the functionalization effect was evidenced in storage modulus (E') and loss modulus (E"). At 2.5% wt/wt of MCC-Si content an increase of 119% in E' at the glassy region, 127% in E' at the rubbery region and 173% in E" was observed compared to the neat resin, whereas the T_g barely changed among samples. Good adhesion between the amino-functionalized MCC and the epoxy matrix was observed at the fracture surface, evidencing that surface modification of MCC improves their chemical interaction.