四维的

In this article, a class of nonlinear elliptic boundary value problems with singular coefficient in one-dimensional domain was considered.first of all existence and uniqueness of the weak solution of the variational problem correspondin

本文考虑如下一维四阶非线性奇异边值问题 Lu=D~2p(xD~2u-Dp(xDu+pu=fx，u(x x∈I≡(0，1)u(0)=u′(0)=0 u(1)=u′(1)=0的有限元方法。给出相应问题广义解的存在唯一性和先验估计，并通过与解的E-范数投影相比较得到Galerkin逼近的L_2和最大

The newly developed airborne Imaging Wind and Rain Airborne Profiler, built by the Microwave Remote Sensing Laboratory at University of Massachusetts, is a dual polarized dual frequency conically scanning Doppler profiling radar.

三维风雨微波成像仪是美国麻省大学微波遥感实验室研制的双频、全极化圆锥式扫描多普勒雷达，能够同时以四种不同的入射角（30， 35， 40， 50°），15-150m的径向分辨率测量海面和气－海边缘层降雨单元的微波后向散射强度和多普勒频移。

The former is a theoretical foundation of the "probability language" compared with the Daniell Integral; and the later, as will be seen in the following chapter, offered the main methods for Daniell Integral.

并且介绍Daniell积分在定义无穷维空间积分中的应用。第四章我们首先按照Wiener 1923年文章中的方法考察Brown运动的数学描述，说明Daniell积分，特别是Daniell[5]中的方法，在Wiener工作中的重要

Because of the deficiency of the index analysis method, the author puts forward the increment analysis method as an improved method, studies and demonstrates the theory and method and procedure and points for attention of the increment analysis.

第二部分，第四章至第六章，属于指数的应用研究，在对价格类型和价格指数体系进行分类和分析的基础上，研究和构建了股价指数、国债价格指数和证券投资基金价格指数三维一体的金融证券价格指数体系，并对这三种价格指数的理论和应用作了系统的研究和探索。

Finally, we give some examples.In Chapter 3, The existence of a bounded global attactor for Olmstead model with homogeneous Dirichlet boundary condition is proved under some condition on the parameters.

本章分四个部分，第一部分是对问题的概述；第二部分讨论了扩散系数对具有无穷时滞的一维竞争扩散系统的空间一致定态解的稳定性的影响，将扩散系数d作为分支参数，我们证明了从d_0处当d

CHAPTER I Mrs. Rachel Lynde is SurprisedMrs. Rachel Lynde lived just where the Avonlea main road dipped down into a little hollow, fringed with alders and ladies' eardrops and traversed by a brook that had its source away back in the woods of the old Cuthbert place; it was reputed to be an intricate, headlong brook in its earlier course through those woods, with dark secrets of pool and cascade; but by the time it reached Lynde's Hollow it was a quiet, well-conducted little stream, for not even a brook could run past Mrs.

雷切尔·林德的家就在安维利大街向下斜伸进山谷的地方，四周长满了梢树和野生花草，一条小溪横穿而过，源自老卡斯伯特家农场的树林，上游水流湍急，从树林中蜿蜒奔流，暗藏着许多隐秘的潭水和小瀑布；但当小河流到林德家门前的山谷时，却变得安静而规矩。

AEneas Sylvius," say they,"after giving a very circumstantial account of one contested with great obstinacy by a great and small species on the trunk of a pear tree," adds that "this action was fought in the pontificate of Eugenius the Fourth, in the presence of Nicholas Pistoriensis, an eminent lawyer, who related the whole,history of the battle with the greatest fidelity.

薛尔维乌斯曾经描写了，在一枝梨树树干上进行的一场大蚂蚁对小蚂蚁的异常坚韧的战斗以后"，接下来添注道——"'这一场战斗发生于教皇攸琴尼斯第四治下，观察家是著名律师尼古拉斯。毕斯托利安西斯，他很忠实地把这场战争的全部经过转述了出来。

Chapter 4,based on strong efficiency rather than efficiency or weak effi-ciency,discusses the similar problem to chapter 3.The concepts of strongsupremum and strong infimum for the set in finite-dimensionalEuclidean space are given,s-conjugate functions and s-subdifferentials theory is developed,by means of which,the duality problem ofmulitobjectivre programming for strong efficient solutions or called absoluteoptimal solutions is analysed,and a new duality theory-s-conjugateduality theory is proposed.

第四章，基于强有效性而不是有效性和弱有效性，给出了类似于第三章的结果，提出了有限维欧氏空间中集合的强上、下确界等概念，研究了点集映象的强共轭函数和强次微分问题，建立了点集映象的s-共轭函数及其s-次微分理论，并借助于这一理论，讨论了多目标规划关于绝对最优解或称强有效解的对偶性问题，建立了基于强有效性的s-共轭对偶理论。

An international advanced target tacking algorithm, which is an analytical trackingprocess based on the affine transformation model by simulating biological vision machinery, isalso introduced. And the mathematical denotation for the infinitesimal generator of affine Liegroup is deduced in this paper.

论文的主要工作包括： 1、介绍了靶场测量中火箭三维姿态的光学测量方法及其理论基础，着重对单相机测量滚转角的四区域轮廓螺旋线法进行了深入探讨和研究，对该算法进行了编程实现，利用仿真图和靶场某型火箭的数字图像对该算法进行了检测，对测量结果进行了精度分析。

It tries its best to avoid using the finite difference grid, so that it can eliminate the artificial dispersion which arises from the injudiciously finite difference grid.

第四章提出了一种交替方向区域对分的FCM，用于模拟二维多孔介质中的生物降解过程，它试图尽可能的避开使用有限差分网格，从而消除由于网格选取的不合适而导致的人工弥散现象。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。