新题征展(69)

A 题组新编 1.已知ABCD为空间四边形,分别求下列情况下两对角线AC、BD所成的角:     

鱼洗振型浅析

本在普通物理的层次上建立鱼洗的物理模型，应用柱面坐标的波动方程和模拟鱼的简化边界条件解出其自激振荡振型，与应用激光全息手段拍摄的鱼洗振型基本一致亦与锤击实验中测得的鱼洗侧壁位移相符，从而初步揭示了鱼洗的喷水机理。     

高等数学课程建设探索与实践

本探索了高等数学课程应适应当今教育要求，达到培养学生数学素质和能力的建设思路，总结了高等数学课程建设在师资队伍建设，教学方法、手段改革，高等数学双语教学及开展第二课堂等方面所取得的成果。     

一种时序混合模型的模型选择方法探讨

根据时间序列数据所表现的性质。提出一种新的时序混合模型。并采用一种基于优化的距离来确定成分的个数。并给出了相关的推导．     

Near-field lithography on the azobenzene polymer liquid crystal films

In this article, we reported near-field research on azobenzene polymer liquid crystal films using scanning near-field optical microscopy (SNOM). Optical writing and subsequently topographic reading of the patterns with subwavelength resolution were carried out in our experiments. Nanometer scale dots and lines were successfully fabricated on the films and the smallest dot diameter is about 120 nm. The width of the line fabricated is about 250 nm. This method is also a choice for nanolithography. The mechanism of the surface deformation on the polymer films was briefly analyzed from the viewpoint of gradient force in the optical near field. The intensity distribution of the electric field near the tip aperture was numerically simulated using finite-difference time-domain (FDTD) method and the numerical simulation results were consistent with the experimental results.     

诸葛亮巧借东风——浅析伽利略航天轨道计划中的引力助推效应

本文扼要介绍了伽利略航天轨道计划，并以浅显的力学原理计算出伽利略探测器从地球飞向木星所需的初始速度．文中详细分析了伽利略探测器两次近飞地球的过程．揭示了引力助推效应在星际飞行中节省能量和控制航向的重大意义     

关于逆向Pedoe不等式及其应用

本文给出著名的Pedoe不等式之逆向不等式(3),并利用它得出著名的Oppenheim不等式之逆向不等式(12)。此外,本文还给出正定厄米特矩阵的Minkouski不等式之逆向不等     

计算有机化合物脂水分配系数的新方法

A new method is presented for the calculation of octanol/water partition coefficients. On the basis of summation of atomic contributions, our algorithm, namely; XLOGP, also incorporate correction factors into the calculation. Multivariate regression analysis was performed on a training database of 1831 organic compounds with diverse structures to give the final model. The correlation coefficients for the whole set fitting is 0.968 and the standard deviation is 0.37. The result shows that our model is accurate enough for logP estimation in QSAR studies. Compared to other similar approaches, our method gives better results and is more convenient to use.     

癌症病人心理因素调查及对策

通过对癌症病人心理因素的调查，分析和归类，寻求对癌症病人医治过程中，采取的心理疏导措施和对策，帮助癌症患者树立战胜病魔的信心，积极配合医护人员进行治疗。从而获得较佳的治疗效果。