次极限

In the paper,according to homogeneous balance principle and F-expantion method,some double-periodic exact solutions of a fifth-order KdV-like equation with variable coefficients are obtained in form of Jacobi elliptic function .

利用齐次平衡原则和F-展开法，求出了一个五阶变系数KdV-like方程的一些用Jacobi 椭圆函数表示的双周期解。并且在极限的情况下，得到了该方程的孤立波解和三角函数表示的周期波解

A linear feasible direction algorithm is proposed to calculate reliability index of structure.

为克服当极限状态曲面方程非线性程度较高时应用一次二阶矩法求解可靠指标可能不收敛的问题，提出一种求解结构可靠指标的线性可行方向算法。

Advanced course covering topics selected from: semimartingale theory, stochastic integrals, homogeneous chaos expansions, stochastic differential equations, Malliavin calculus, infinite dimensional processes, functional central limit theorems, Feynman-Kac formula, Feynman integral.

随机分析：高级课程，包括：半鞅理论，随机积分，齐次混沌展开，随机差分方程， Malliavin 微积分，，有限维过程，泛函中心极限理论， Feynman-Kac公式， Feynman积分，过滤理论的应用，无限粒子系统，量子力学，神经学中的随机模型。

Resolution of the secondary electron image ; equifinal spherical aberra tion coefficient ; optimum half open angle ; limit resolution

二次电子像的分辨本领；等效球像差系数；最佳半开角；极限分辨本领

They are extensions of the limit properties for nonhomogeneous Markov chains, gambling systems, and the harmonic mean of random conditional probablities.

它是非齐次马氏链、赌博系统、随机条件概率的调和平均等极限性质的推广。

Tucker Hibbert of Goodridge, Minnesota sails to first place and earned his fourth consecutive gold medal in Snowmobile SnoCross at Winter X Games 14 at Buttermilk Mountain on January 31, 2010 in Aspen, Colorado.

塔克希伯特的转址，明尼苏达州帆到第一名，并获得1月31日，他第四次在雪地车SnoCross连续黄金冬季极限运动会在奶油山14金牌，在科罗拉多阿斯本2010年。

There are proved the theorems on convergence of sequences of the integral, which are similar to Levi's theorem, Fatou's theorem and so on in Lebesgue's integral.

4中引进了一类特殊的所谓λ次可加模糊测度空间，给出了这种测度空间上收敛性的Егоров定理和Riesz定理并得到了该空间上的模糊积分在积分号下取极限的一些充分条件。

Firstly, several kinds of schemes were proposed according to the design demand. The best scheme was chosen after analyzing and comparing the schemes. The robot's structure was designed with Pro/Engineer and AutoCAD software. Secondly, the kinematics analysis conducted, coordinate transformation matrix using D-H method was set up, and the kinematics equation direct solution and inverse solution was deduced. The manipulative interface about the kinematics equation direct solution and inverse solution was completed with VC++ and the velocity Jacobian of displacement matrix was constructed using differential transform method. In the process of the trajectory planning based on robot's kinematics analysis, I propone a method by which we can get middle nodal point with normalizing factor in order to simplify our searching for these middle nodal points. In addition, I give these middle nodal points with actual physics signification. For eliminating contradiction between real-time and accuracy, I bring forward separately limit of error and reversal interpolation method. For decreasing calculation quantity, we resort to tri-spline interpolation in the articulation space.We analyse the work range of the robot by resorting to graphic means.

首先，作者针对机器人的设计要求提出了多个方案，对其进行分析比较后，选择其中最优的方案后用Pro/Engineer和AutoCAD软件进行了机器人模型结构设计；其次，进行了运动学分析，用D-H方法建立了坐标变换矩阵，推算了运动方程的正、逆解，运用VC++制作了正、逆运动学求解的求解界面；并且用微分变换法推导了速度雅可比矩阵；在基于机器人的运动学的轨迹规划中，通过在操作空间的规划，提出了归一化因子来求解中间结点，通过它可以使求解中间结点变得更简单，并且赋予这些中间结点实际的物理含义，对于规划中精确性和实时性的矛盾，提出了以误差极限法和反向插值法来解决的方法；为了减少规划过程中计算量，在关节空间进行三次样条插值；然后借助图解法进行工作空间分析，作出了实际工作空间的轴剖图。

On the basis of introducing the fixed point of Banach theorem, this paper firstly elaborates the important application of the existence of the solution of the linear algebraic equation and the ordinary differential equation, then it narrates the important application of obtaining the leading Newton repetitive process and the natural number the inferior square root and the equation root in the approximate calculation.

本文在介绍Banach不动点定理的基础上，首先阐述了其在线形代数方程、常微分方程解的存在性中的重要应用；然后讲述了其在求导Newton迭代法、求自然数的次平方根、求方程根的近似计算中的重要应用；最后，介绍了其在求一类递推数列极限中的应用。

Joining helmsman Wearn Haw Tan, skipper Thierry Barot and crew-member Wang Jue, is World class sailor Mark Stopforth on mainsail for what will be the team's first foray into Extreme 40 racing.

与舵手陈文浩、船长Thierry Barot以及摇把手王珏并肩作战的，是操控主帆的南非奥运会帆船选手Mark Stopforth。这将是这支队伍第一次尝试参加极限 40 比赛。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。