浅谈数列的周期及应用

对于给定的数列{a_n},若存在一个为自然数的常数T,使得对任意自然数n,恒有 a_(n T)=a_n (n=1,2,3,…)则我们称T为数列{a_n}的周期。数列{a_n}称为周期数列。对周期数列,不难得如下简单的性质。性质1 若T是数列{a_n}的周期,则2T、3T、…、nT、…都是数列{a_n}的周期。由此知,周期数列的周期有无穷多个,我们把最小的一个称为最小正周期。     

Zero—field—cooled and field—cooled magnetizations and magnetic susceptibility of itinerant ferromagnet SrRuO3

Zero-field-cooled(ZFC) magnetization,field-cooled(FC) magnetization,ac magnetic susceptibility and major hysteresis loops of itinerant ferromagnet SrRuO3 have been measured at magnetic ordering temperatures ranging from 5 to 160K.An empirical model is proposed to calculate the measured ZFC magnetization.The result indicates that the calculated ZFC magnetization compares well with the measured one.Based on the generalized Preisach model.both the ZFC and FC curves are reproduced by numerical simulations.The critical temperature and critical exponents are determined by measuring the ac magnetic susceptibility in different bias magnetic fields at temperatures in the vicinity of the point of phase transition.     

超短脉冲激光选通电子学全息成象系统研究

本文介绍了最早到达光概念,分析了超短脉冲激光电子学全息实现选通最早到达光成象的原理.用超短脉冲激光拍摄全息图,相当于用多色光记录全息图,当用单色光再现这种全息图时,会给再现象造成一个模糊量.在一般全息理论中,只讨论了采用单色光记录全息图,复色光再现所造成的模糊量.因此,本文中讨论的是一个与此相反的问题,即用多色光记录全息图,单色光再现的情况,并且着重讨论了超短脉冲激光记录全息图的情况.最后得出结论,在用超短脉冲激光拍摄全息图时,最好采用象面全息术.     

Simulation of Helium Behaviour in Titanium Crystals Using Molecular Dynamics

The behaviour of helium in Ti crystals at 300 K has been investigated by means of the molecular dynamics. The study is focused on the influences of He-Ti interaction on the aggregation of helium atoms in the substrate. When a Born-Mayer potential is used to describe the He-Ti interaction, the He atoms are unable to cluster with each other due to the weak bridge barrier that cannot trap the helium atoms, Whereas using a He-Ti potential that is constructed by fitting the ab initio pairwise He-Ti potential, the clustering of He atoms can be observed. The results indicate that suitable He-Ti potential plays an important role in the formation of He clusters in metals. Moreover, it is noted that the shape of the formed He cluster is irregular, and the produced defect prefers to congregating on one side of the He cluster rather than spreading symmetrically around it.     

链球状纯铁磁粉的磁粘滞性

报道了对激光法制备的链球状纯铁超细磁粉磁粘滞性研究结果。结果表明,n个链球段构成反磁化单元,并等效于一个单轴单畴粒子。不同条件下制备的粉体激活体积的变化趋势与磁性针状氧化物相似。 关键词：     

数学规划的求解与广义Hopfield神经网络

神经网络技术最为成功的应用领域之一是用于求解优化问题,本文就近年来的求解优化问题的神经网络方法进行了综述     

等比数列一个性质及应用

对于等比数列,我们有如下的性质: 性质:如果数列{α_(n 1)-αα_n}(α≠0)是公比为β的等比数列,则数列{α_(n 1)-βα_n}是公比为α的等比数列。证明∵α_(n 1)-αα_n=β(α_n-αα_(n-1)) 即α_(n 1)-βα_n=α(α_n-βα_(n-1)) 故数列{α_(n 1)-βα_n}是公比为α的等比数     

函数迭代所产生的周期函数列

常庚哲老师在文［１］中讨论了周期数列，受其启发，本文对函数迭代所产生的周期函数列进行了讨论，给出了函数迭代所产生的周期函数列的一些判定条件（定理１及其推论），同时也给出了与它相联系的一个函数周期性的判定定理（定理２），并简要介绍了定理２在判别周期函数...     

不确定性投资决策中的期权博弈分析

本文应用期权博弈理论方法分析了存在竞争条件下的不确定性投资决策问题.建立了一个对称双寡头模型,用实物期权方法计算了模型中的领先者、跟随者和同时投资者的价值函数和投资临界点.     

用任意偏向角测量三棱镜折射率

本文给出用任意偏向角测量三棱镜折射率的理论公式和实验方法，并给出与最小偏向角法测量结果的比较，具有几乎一样的误差。