韦达定理的妙用一则

本题中因为直线经过左焦点F，所以线段AF、BF的长度可以依据椭圆的第二定义，转化为A、B两点到准线的距离，但是如果直线通过x轴上异于焦点的其它定点，这种转化我们将无法实现，那么此类问题如何处理呢？     

商的导数情形下的等价无穷小替换

对于复变函数中高阶极点留数的计算,常会碰到商的导数的极限,给出了商的导数情形下等价无穷小替换的一种方法,简化了计算.     

Tracking problem under a time-varying topology

This paper studies the multi-agent tracking problem of a third-order maneuvering target under uncertain communication environments. Each tracking agent is assumed to be a third-order system and can only use its own and neighbors＇ position, velocity, and acceleration information to design its control input. In this work, the uncertain communication environments are modelled by a finite number of constant Laplacian matrices together with their corresponding scheduling functions. Sufficient conditions for the existence of a tracking strategy have been expressed in terms of the solvability of linear matrix inequalities. Finally, a numerical example is employed to demonstrate the effectiveness of the proposed tracking strategy.     

电子自旋、微观可区分性及化学键

本文从分析电子自旋磁矩(磁极)的空间性质入手,讨论了电子的可区分性.通过讨论2个电子自旋组态的8种形式,其中,包括4种磁极吸引的耦合态、4种磁矩排斥的非耦合态,同理,电子轨旋运动也存在4种耦合态.自旋耦合、轨旋全耦合需要8个电子,所以元素周期性为8音律.磁矩耦合是形成化学键的第一要求,第二才是异核吸引作用;化学键的广义表达语言应该是:化学键只能由磁矩耦合的电子组成.对电子的波粒二象性和测不准原理进行了新的理论解释,并讨论了波粒二象性和测不准现象的物理模型.该模型与电子的微观可区分性相一致.     

Molecular dynamics study of ice structural evolution

Molecular dynamics simulation is employed to study the structural evolution of low density amorphous ice during its compression from one atmosphere to 2.5 GPa. Calculated results show that high density amorphous ice is formed at an intermediate pressure of -1.0 GPa; the O-O-O bond angle ranges from 83° to 113°, and the O-H… O bond is bent from 112° to 160°. Very high density amorphous ice is obtained by quenching to 80 K and decompressing the ice to ambient pressure from 160 K/1.3 GPa or 160 K/1.7 GPa; and the next-nearest O-O length is found to be 0.310 nm, just 0.035 nm beyond the nearest O-O distance of 0.275 nm.     

Quantum analysis on the four-photon interference

We present a theory for quantum interference of four photons generated by spontaneous parametric downconversion. Detailed investigation of the dependence of fourfold coincidence count rate on time delay between the incident and the reflective pump laser pulses is carried out. Gaussian type dependence is found, and good agreement between our theoretical results and experimental data reported in the literature is achieved.     

用作VISAR窗口的LiF晶体折射率变化修正因子

近几年，因为样品／窗口界面处理工艺的完善和窗体寄生干涉问题的解决，加窗VISAR测试技术在冲击波物理研究中得到了愈来愈广泛的应用。但窗口材料在冲击作用（如压缩、拉伸、加热等）下，由于折射率变化将引入附加多普勒频移，从而对最终的测速结果引入修正项。此修正项与窗口材料的折射率变化特性直接相关，而且对某些窗口材料，此修正项值还比较大。因此，为获取加窗测试中正确的速度剖面测量数据，必须确定窗口材料在冲击作用下的折射率变化修正因子。在目前所用VISAR窗口中，LiF晶体因为具有中等阻抗，     

氚化钛、钛基合金氚化物时效过程的晶体结构变化研究-Ⅱ

氚化物部件的主要缺点之一是它们的寿命较短，这是由于随着氚衰变，^3He在氚化物晶体中不断积累，对晶体造成损伤，破坏了氚化物的完整性，最后^3He急剧地释放。这样一来，使用金属氚化物的技术装置的工作能力就被破坏了。     

一类二阶渐近周期微分方程的正同宿轨道

§ 1　IntroductionIn this note we are concerned with the asymptotically periodic second order equation-u″+α( x) u =β( x) uq +γ( x) up,　 x∈ R,( 1 )where1 相似文献   

非定空间形式Nn+pp(c)中常数量曲率的类空子流形

利用一个类似于CHENG等引进的微分算子的新微分算子□α(α=n+1,…,n+p),得到了非定空间形式Nn+pp(c)中常数量曲率的紧致的类空子流形的一个刚性定理设Mn是非定空间形式Nn+pp(c)(p＞1)中标准数量曲率R为常数的n维(n＞2)紧致的类空子流形,且标准平均曲率向量关于法联络平行,如果=R-1,-1＜≤0且Mn的第2基本形式的模长平方|B|2满足-n≤|B|2≤C(,p,n),这里C(,p,n)为只依赖于,p和n的某一常数,则|B|2=-n且Mn为全脐子流形.我们把CHENG(1977),LI(1996)的结果推广到了非定空间形式中常数量曲率的类空子流形中.由于我们在定理中去掉了"平坦法丛"的条件,所以本文的讨论优于HOU(1998)的讨论.