The variational problem related to the coupled vector wave equations and boundary conditions of circular dielectric waveguide with arbitrary refractive index profile is solved using the finite element method ( fem ) 应用有限元方法求解了任意径向非均匀折射率分布圆柱对称介质波导中纵向场耦合波动方程定解问题所对应的变分问题，该方法不受弱导或高斯模场分布等限制。
With the development of new informatics technology , nonlinear programming is more and more widely used in the research of optimal design , scientific management , systematic identification , physical and mathematical variation , etc which promote its development 随着现代计算机技术的日趋发展，非线性规划正越来越多地运用于最优设计、管理科学、系统识别、数学物理变分问题等方面，并由此推动非线性规划的进一步发展。
In this article , we give sufficient conditions for the existence of solutions to the vectorial hamilton - jacobi equations with dirichlet boundary condition : obtaining , in addition , an application to the theory of existence of minimizers for a class of non - convex variational problems 本文给出了一类依赖于自变量和未知函数的梯度的向量情况隐式偏微分方程的dirichlet问题的弱解的存在性的充分条件，并将该结果应用到一类非拟凸变分问题中去。
Adopting the plane mesh plus parameters to form automatically a large three - dimension spatial calculation mesh and adopting spatial fault calculation mesh formed by spatial arbitrary , dissection technology can solve the finite element mesh dissection in the calculation of huge underground cavern group 采用平面网格加参数化平推方式自动形成大三维空间计算网格，同时采用空间任意切面技术形成空间平面断层计算网格，解决了巨型地下洞室群计算的有限元网格剖分问题。
Aiming at multiply connected regions problems , the paper analyses the previous method of inducting aided line of syncopation and points out its shortcoming , then proposes a new method of transformation between multiply connected regions and single connected regions by study of afm arithmetic characteristic . the concepts of static advanced front and dynamic advanced front are defined 针对多连域剖分问题，本文对以前通过引入切分辅助线的方法来解决多连域剖分问题进行了分析，指出了其不足之处，通过研究波前推进法的算法上的特点，提出了一种新的解决单、多连域转化的问题方法。
In line with the actual english teaching states the research mainly employs the questionnaire method and the auxiliary random interview with the teachers and students to discuss the followings . 1 . the division of the groups ; 2 . the division of the students " individual tasks in the co - learning and how to control the process ; 3 . the detail contents in the classroom teaching ; 4 . the order of the teaching process ; s . the appraisal of the co - teaching ; 6 . the effect on the polarization " s changing ; 7 . the level of learning strategies in english employed by the students ; s . the management of the classroom teaching ; 9 . how to enhance the teachers " enthusiasm by improving the level of the administration 为了这也有本研究本着从实际出发的原则，结合高中教育教学现状，以问卷调查为主，辅之以随机访谈，就“合作教学”中的如下问题: 1 、关于/ j 、组戊叮分问题; 2 、组员间的分工与小组控制问题; 3 、师生“合作”的具体内容; 4 、关于课堂教学各组成部分的顺序问题; 5 、 “合作教学”的评价问题; 6 、 “合作教学”对改变两极分化的效果问题; 7 、关于学生在“合作学习”中对学习策略的使用问题; 8 、课堂教学管理问题，又长致师和学生分别进行了调查、访谈。
Abstract : this paper discusses the conditional problem of the higher order derivatives depending on more than one function , sovles conditional problem of variation of definite integral constraint by using lagrange ' s method of multipliers , and studies the conditional problem of variation of more than one definite integral constrains 文摘:讨论依赖于多个函数的高阶导函数的泛函的变分问题，并且利用拉格朗日乘子法讨论此类泛函的一种书有定积分约束的条件变分问题的解法.最后讨论有多个定积分约束的条件变分问题
The thesis summarizes the basic theories of price discrimination , expatiated on the multi - class differential pricing method and dynamic differential pricing theory ; concludes the factors that have impacts on tickets - price , analyses and classfies the factors ; brings forward a canonical method of market segmentation , introduces the process of market segmentation based on the model of gray relative level , discusses the idiographic measure of ticket - price control ; improves the academic achievements of former scholars , puts forward a model of multi - class dynamic differential pricing for the air passenger transport , which is based on the maximum revenue for the airline industry , and gives a approximate arithmetic of the model , then showes the application of the model and its feasibility on increasing airline industry ’ s revenue by 25 models 在对民航定价的国内外研究现状进行综述的基础上,从经济学角度介绍差别定价的基本理论,阐述民航客运的多等级差别定价理论和动态差别定价理论;对民航票价的影响因素进行分类说明;作为多等级定价的基础,提出市场细分的标准和方法,用灰色关联度模型解决航空旅客市场细分问题,并提出票价控制的具体措施;引入一种旅客到达频率预测的统计方法,以航空公司收益最大化为目标,建立基于多等级定价基础上的动态差别定价模型,即多等级动态差别定价模型,给出模型的递归算法,通过对动态差别定价模型的运行结果进行分析,建立模型的一种近似模型,并且用25个简单算例说明模型的用法以及在提高航空公司收益方面的可行性。
2 ) for making the meshes consistent on the common boundaries of adjoining surfaces , a new approach of boundary discretization is employed . 3 ) the boundary - representation structure is adopted to fulfill the mesh generation over combined surfaces . 4 ) the quality of surface meshes is improved by point creation on 3d scan lines and diagonal swapping procedure 通过引入可移动的虚边界解决了闭合曲面的剖分问题；通过对邻接曲面公共边界的统一处理，保证了组合曲面拼合处网格的相容性；以边界表示数据结构为基础实现了三维组合曲面的全自动网格剖分；采用空间扫描线布点、诊断交换等技术，优化了网格的质量；并以autocad为支撑平台objectarx为开发工具，开发了一个基于几何造型的曲面三角形网格全自动生成程序。
This paper discusses the conditional problem of the higher order derivatives depending on more than one function , sovles conditional problem of variation of definite integral constraint by using lagranges method of multipliers , and studies the conditional problem of variation of more than one definite integral constrains 讨论依赖于多个函数的高阶导函数的泛函的变分问题，并且利用拉格朗日乘子法讨论此类泛函的一种书有定积分约束的条件变分问题的解法.最后讨论有多个定积分约束的条件变分问题
