A Mechanical Model for Analyzing the Runaway Solutions in the Radiation Reaction Problem

In order to understand the rise of runaway solutions in the radiation reaction problem a mechanical model is used. An alternative demonstration of Daboul’s theorem, through Hurwitz’s criterion, is given. The origin of runaway solutions in electrodynamics is discussed. They arise when the particle has a negative mechanical mass or when approximations are used in the equation of motion. In the 1-dimensional mechanical model an exact and linear equation of motion for the particle is obtained, the corresponding exact solution is again runaway when the mechanical mass is negative. The exact solution is not runaway when the mechanical mass is positive. However, the use of approximations leads to an equation of motion which has runaway solutions. It is exhibited that the use of approximations in the 3-dimensional mechanical model is completely necessary because the general equation of motion for the particle is non-linear. The analysis of this case proceeds in a very similar way to the one carried out in electrodynamics. This means that the number of dimensions also plays an important role in the analysis.     

General Solutions of Relativistic Wave Equations II: Arbitrary Spin Chains

A construction of relativistic wave equations on the homogeneous spaces of the Poincaré group is given for arbitrary spin chains. Parametrizations of the field functions and harmonic analysis on the homogeneous spaces are studied. It is shown that a direct product of Minkowski space time and two-dimensional complex sphere is the most suitable homogeneous space for the physical applications. The Lagrangian formalism and field equations on the Poincaré and Lorentz groups are considered. A boundary value problem for the relativistically invariant system is defined. General solutions of this problem are expressed via an expansion in hyperspherical functions defined on the complex two-sphere. PACS numbers: 02.30.Gp, 02.60.Lj, 03.65.Pm, 12.20.-m     

电脑千年虫问题的解决方法分析与实践

千年虫问题是电脑系统以２位存储年份而产生的在２０００年后不能正确识别年份的问题,解决千年虫问题的根本就是解决年份的存储和识别问题,本文综合分析了目前常用的解决千年虫问题的几种方法,及其特点、复杂性及成本,最后介绍了我们在实际解决应用系统千年虫问题上的实践。     

既有盾构隧道条件下明挖地铁车站施工的三维数值模拟

针对北京地铁五号线北新桥车站基坑工程和其内既有盾构隧道的相互作用机理问题,应用三维有限元程序对基坑工程在多种工况下的施工进行了数值计算,得出施工过程中车站的围护结构、其周围土体及既有盾构隧道的应力、应变及位移结果。通过分析认为,在既有盾构隧道基础上修建大型地铁车站是可行的,并对其他相似工程具有指导意义。     

Variational iteration solving method of a sea-air oscillator model for the ENSO

A time delay equation for sea-air oscillator model is studied. The aim is to create an asymtotic solving method of nonlinear equation for the ENSO model. And based on a class of oscillators of ENSO model, employing the variational iteration method, the approximate solution of corresponding problem is obtained. It is proven from the results that the method of variational iteration method can be used for analyzing the sea surface temperature anomaly in the equatorial eastern Pacific of the atmosphere-ocean oscillation for ENSO model.     

黄河大柳树生态经济区老灌区节水潜力综合分析

建设大柳树生态经济区是黄河黑山峡河段开发的主要任务,长期以来,围绕黄河流域突出的水资源供需矛盾,引起了不同学者和有关部门对大柳树生态经济区建设的学术技术争议.结合生态经济区水资源条件,以黄河大柳树生态经济区老灌区节水潜力为主线,系统分析了影响节水潜力的主要因素和敏感性.结果表明,通过输水工程改造、种植结构调整、田间改造、井渠结合、运行管理等方面的节水努力,老灌区节水量为13.18×108～22.69×108 m3,有水资源条件支撑了大柳树生态经济区的建设与开发.     

在英语课堂教学中应用角色扮演法应注意的若干问题

通过阐述在英语课堂教学中应用角色扮演法在培养学生听说能力和合作精神方面的积极作用说明研究意义；而后分析论证了在其应用过程中存在的若干问题；最后，结合交际教学法的理论和原则，以及中国外语教学的实际情况，从任务的设计、语言的操练、教师的反馈、方法的指导和教师的风格等五个方面，提出了成功运用角色扮演法应注意的问题及其解决办法。     

适定且收敛的全部线性二步公式的推导和分析

应用MATLAB的符号运算,推导了常微分方程初值问题适定的线性二步法全部公式,并利用关于线性方程组多步法公式的收敛条件,筛选出其中收敛的公式,计算出了公式的分数形式的系数,误差主项系数,阶数,绝对稳定区间.运用根轨迹法绘制了其中绝对稳定的公式的稳定区域的图形,并对以上公式的性能作出了简单分析,特别是推导和证明了一个新的二步二阶A-稳定公式.     

四阶边值问题多重正解的存在性

讨论了含弯矩项u″的四阶边值问题{u(4)(t)=f(t,u(t),u″(t),t∈(0,1)),u(0)=u″(0)=u(1)=u″(1)=0至少存在两个正解.讨论所用的主要工具为锥映射不动点指数定理.     

一类两点边值问题正解的三解定理

证明了一个新的锥上不动点定理,并利用此定理研究了两点边值问题1/(p(t))[p(t)u′(t)]′ g(t)f(u(t))=0,λ1u(α) λ2u′(α)=0,u(β)=B,α相似文献