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We deal with the biharmonic equation and proved that under our assumptions, the week solution of the natural boundary value problem strongly converges (in H~2) to that of the first boundary value problem.

为克服这一困难,我们用具自然边界条件的边值问题(在二阶椭圆型方程情形为第三边值问题)去逼近相应的第一边值问题,并以重调和方程为例,证明了在一定条件下,其具自然边界条件的边值问题的弱解在H~2的意义下强收敛到相应的第一边值问题的弱解。

Secondly, we discuss the boundary value problem of two dimensional biharmonic equation in a rectangular field and its variational problem,discretize it by using dual tensor product of and the direct product and lining up of matrices, we get some special matrices which are the presupposition in exploring the fast computation, then solve the system of linear equations.

其次本文讨论了矩形域上二维双调和方程边值问题及其相应的变分问题,利用二元张量积小波分析和矩阵的直积、拉直技巧将变分问题离散化,从而使求解偏微分方程问题变为求解线性方程组的问题。一维情况两组基的张量积下得到的系数矩阵分别为块状七对角阵和稀疏矩阵。这些特殊结构为以后快速算法的研究打下一个基础。

This paper expounds the necessity of construction of teaching reference book database in academic libraries, and probes into some key problems in process of the construction, such as collection of the booklist, database construction criterions, data maintenance and update, copyright protection etc.

摘要本文阐述高校图书馆建立电子教参书资源库的必要性,探讨在建设电子教参书资源库过程中必须注意的若干问题,包括:教参书书目采集问题、建库标准和规范问题、数据维护与更新问题及版权问题等。

Reform time in what economy grows quickly especially, the rate that the city is built and grows is very rapid, to town planning the job raises a lot of new questions, the urban communication problem that the issue of urban industry position that reform of the urban dimensions issue that involves like the rapid growth of hobo, state-owend enterprise and bourg industry development bring, auto industry develops and a variety of vehicle place produce, ask town planning branch must study new contradiction, new issue.

特别是在经济快速发展的改革年代,城市建设和发展的速度很快,给城市规划工作提出许多新的问题,如流动人口的快速增长所涉及的城市规模问题、国企改革和村镇工业发展带来的城市工业布局问题、汽车工业发展和多种交通工具所产生的城市交通问题等,都要求城市规划部门必须研究新矛盾、新问题

The braid group is infinite non-commutative group, and it has many hard problems that can be utilized to design cryptographic primitives, such as the word problem, conjugacy problem and root problem.

辫群是一种非交换的无限群,该群中有许多困难问题是不可解的,如字问题、共轭问题和根问题等,利用这些困难问题可以去设计一些密码协议。

Branch line with the law to solve several problems : including 0-1 knapsack problem, the largest group, circuit wiring...

用分支界限法解决的几个问题:包括0-1背包问题,最大团问题,电路布线问题,最大装载问题

PDCA can be an independent circle to solve an independent problem.

PDCA可能是一个独立的环,如解决一个独立的问题,当这个问题解决了,那么这个环也随着消失了;也可能是一个持续改进的过程,即螺旋上升过程,即当这个问题没有解决或已经解决了但又有新的问题发现,又会根据这个问题,进行下一个PDC循环。

There are fourteen chapters, including introduction, plane stress and plane strain, two-dimensional problems in rectangular coordinates, two-dimensional problems in polar coordinates, photoelastic and moire experimental methods, two-dimensional problems in curvilinear coordinates, analysis of stress and strain in three dimensions, general theorems, torsion, bending of bars, axisymmetric stress and deformation in a solid of revolution, thermal stress, the propagation of waves in elastic solid media, at last there is an appendix on the application of finite-difference equations in elasticity.

全书共十四章,包括绪论、平面应力和平面应变、直角坐标中的二维问题、极坐标中的二维问题、光弹性与云纹实验方法、曲线坐标中的二维问题、三维应力和应变问题、一般定理、简单的三维弹性问题、扭转、杆的弯曲、回转体中的轴对称应力和变形、热应力、弹性固体介质中波的传播,最后有一附录,讲述差分方程在弹性理论中的应用。

They are respectively as follows:Ahow to enforce whatever concerning full-time teachers, Bhow to link up the education al courses, Chow to reform evaluating methods, Dhow to reform the curriculum , Ehow to establish good contact between in class and after class activities, Fhow to keep a good contact between school and out of school activities.

即:专任教师队伍建设问题,教育类课程的相互衔接问题,课程及教学内容改革问题,教学评价方法的改革问题及课内与课外、校内与校外的联系问题

For example, Keyfitz made the classification of the bifurcations in one state variable, without symmetry up to codimension 7; Golubitsky and Schaeffer obtained the classification of the bifurcation problems in one state variable with Z_2 symmetry, in one parameter up to codimension 3; Golubitsky and Roberts studied the classification of degenerate Hopf bifurcation in two state variables with dihedron D_4 symmetry, in one parameter up to topological codimension 2; Melbourne obtained the classification of bifurcations in three state variables with octahedral symmetry, in one parameter, up to

需要指出的是以上研究均没有考虑分歧参数的对称性,Futer,Sitta和Stewart的工作虽然考虑了分歧参数的对称性,但仅限于分歧参数与状态变量具有相同的对称性,他们得到了状态变量与分歧参数均关于二面体群D_4对称,拓扑余维数不大于1的分歧问题的分类。高守平和李养成则讨论状态变量和分歧参数均具有对称性且对称性可以不同的分歧问题,并给出了状态(来源:A770707BC论文网www.abclunwen.com)变量关于二面体群D_4对称,分歧参数关于S~1对称,拓扑余维不超过1的分歧问题的分类。本文第一章讨论两个状态变量关于二面体群D_3对称,两个分歧参数关于O(2)对称的分歧问题,给出了该类分歧问题在非退化条件q(0)≠0下所有情形的分类与相应的识别条来源:AdadaBC论文网www.abclunwen.com

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Since historical times,England ,where the early inhabitants were Celts, has been conquered three times .

从有历史以来,英国,在此地早期居住的是凯尔特人,已经被征服了三次。

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The almost sure central limit theorem is a pop topic of the probability research in recent years,because it has many actual applications in the random analogue.

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