The Qualitative Study of Space Quadratic Systems with a First Integral

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盒维数的一个等价定义及其应用

给出了盒维数的一个等价定义．该定义与盒维数的现有定义相比,从理论上更容易验证,在应用中更适合于数值计算．据此给出了计算盒维数的一个数值算法．     

资产定价第一基本定理的拓扑描述

资产定价的第一基本定理是数量金融学中核心的定理之一 ,本文证明了在 L∞ 的弱 * 拓扑 σ(L∞ ,L1)中的凸集分离定理 ,并在此定理的基础上给出了没有无风险免费午餐的拓扑描述 ,证明了市场公平性与没有无风险免费午餐条件的等价性 ,从而重新证明了资产定价的第一基本定理 .     

混凝土箱梁相似模型结构噪声对比分析*

为探讨混凝土箱梁噪声的时变特性,以京沪高铁32 m混凝土简支箱梁为原型,制作了1:10的缩尺模型,通过模态试验的方法验证箱梁模型与原型的相似关系,通过声学试验验证箱梁声学计算模型的正确性。然后,建立了箱梁缩尺模型与原型两种计算模型,利用有限元和边界元法求出两种模型的瞬态结构噪声。研究发现,箱梁缩尺模型与箱梁原型的材料参数满足一定关系,模型试验的方法能够验证箱梁模型与箱梁原型之间符合相似关系,箱梁模型的振动噪声测试结果能真实反映原型振动噪声水平。两种模型的结构噪声在时域内声压级及对应场点的声压存在一定相似关系。该研究可为箱梁缩尺模型结构噪声反演至箱梁原型提供依据,所采用的方法和得到的结果对桥梁结构振动与声辐射实验研究具有参考作用。     

LNG液化装置冷箱降温过程的动态模拟

冷箱的降温是MRC天然气液化装置运行调试过程的重点。文中对此过程进行了动态仿真,除降温后期偏差稍大外,结果基本令人满意。冷箱降温前期中期主要受冷箱本身的显热容影响,而后期降温过程主要取决于冷箱的换热能力。     

Non-existence of a secondary bifurcation point for a semilinear elliptic problem in the presence of symmetry

We give two sufficient conditions for a branch consisting of non-trivial solutions of an abstract equation in a Banach space not to have a (secondary) bifurcation point when the equation has a certain symmetry. When the nonlinearity f is of Allen-Cahn type (for instance f(u)=u−u³), we apply these results to an unbounded branch consisting of non-radially symmetric solutions of the Neumann problem on a disk D⊂R²

     

Unique Outcomes of Internal Heat Generation and Thermal Deposition on Viscous Dissipative Transport of Viscoplastic Fluid over a Riga-Plate

Boundary layer stagnation point flow of Casson fluid over a Riga plate of variable thickness is investigated in present article. Riga plate is an electromagnetic actuator consists of enduring magnets and gyrated aligned array of alternating electrodes mounted on a plane surface. Physical problem is modeled and simplified under appropriate transformations. Effects of thermal radiation and viscous dissipation are incorporated. These differential equations are solved by Keller Box Scheme using MATLAB. Comparison is given with shooting techniques along with RangeKutta Fehlberg method of order 5. Graphical and tabulated analysis is drawn. The results reveal that Eckert number,radiation and fluid parameters enhance temperature whereas they contribute in lowering rate of heat transfer. The numerical outcomes of present analysis depicts that Keller Box Method is capable and consistent to solve proposed nonlinear problem with high accuracy.     

Polyaniline-coated cerium oxide nanoparticles as an efficient adsorbent for preconcentration of ultra-trace levels of cadmium (ІІ) followed by electrothermal atomic absorption spectrometry

For the first time, polyaniline-coated cerium oxide nanoparticles were synthesized in alkaline media and applied for preconcentration of ultra-trace levels of cadmium (??) in different real samples followed by electrothermal atomic absorption spectrometry. Cerium oxide nanoparticles were synthesized by a microwave method and modified by polyaniline to produce polyaniline-coated cerium oxide nanoparticles. Fourier-transform infrared spectroscopy and scanning electron microscopy were used to characterize the synthesized adsorbent. To optimize the critical experimental conditions; surface response methodology—Box–Behnken experimental design was used. On the basis of the results, pH 8.4, 10?mg of polyaniline-coated cerium oxide nanoparticles, 14.4?min extraction time, and 4.3?min desorption time were selected as the optimum conditions. Under the optimum conditions the calibration curve of cadmium (??) was linear in the range of 0.02–0.4?ng?mL^?1 with a correlation coefficient of 0.9976. The relative standard deviation based on seven replicate analysis of 0.1?ng?mL^?1 cadmium (??) was 4.2% and limit of detection was 0.005?ng?mL^?1 cadmium (??). The analysis of certified reference material shows very good agreement with the certified value. Finally, the proposed method was applied for the determination of ultra-trace levels of cadmium (??) in different water, rice, and tea samples.     

南海一号出水景德镇窑与龙泉窑青瓷特征的无损分析研究

古代陶瓷产地研究是陶瓷考古的重要内容,也是科技考古工作者研究的重点。目前国内古代陶瓷产地研究主要依赖化学成分分析技术,对陶瓷釉层结构特征的无损分析研究却相对缺乏,难以对古代陶瓷进行全方位的认知。该研究首次将光学相干层析(OCT)与X射线荧光(XRF)光谱分析技术相结合,对南海一号沉船出水的南宋初期景德镇窑和龙泉窑青瓷瓷釉的断层结构特征和化学成分特征进行综合无损分析研究。首先采用扫频OCT成像系统对两个窑址青瓷瓷釉断层结构及装饰工艺特征进行了研究,分析了青瓷瓷釉类型、釉层厚度、釉层内气泡、包裹体、表面裂纹等特征及分布状况,对比了两窑址青瓷瓷釉断层结构特征,确定了可能采用的装饰工艺。其次,利用X射线荧光(XRF)光谱分析获得了两窑址青瓷胎釉的化学成分,对比研究了两个窑址青瓷胎釉化学成分差异,进而探讨了瓷釉断层OCT图像特征与釉层化学成分之间存在的联系。实验结果表明,景德镇青瓷和龙泉青瓷样品在釉层厚度、气泡、裂纹、包裹体等瓷釉断层结构特征上差异明显,在胎釉化学成分方面,两类青瓷在胎釉着色相关元素、釉层碱性氧化物等成分含量上也存在差异。同时,瓷釉断面结构特征差异与釉层化学成分差异存在紧密联系。实验证明,将OCT与XRF相结合是一种有效的辨别瓷器窑口的科学技术方法。