系数问题

Model:The mathematic model of one kind of oin reactions for the problomof groundwater[47,48]:whereis a bounded domain with smoothy boundary.J=0,T.D＞d＞0is the diffusion coeffcients,ρ＞0 is the density of the solid,which are all constants.

模型：地下水污染问题中一类离子反应数学模型[47，48]：〓其中〓为具有光滑边界的有界区域，J＝0，T。这里D＞d＞0为扩散系数，ρ＞0为固体颗粒密度，均为常数。〓初边值条件为

The condition for the solvability of the controllers is expressed by using the coefficient matrices of the whole system.

控制器的可解性条件由系统的系数矩阵表达，因此不需要矩阵分解，可避免由矩阵分解产生的数值问题。

This structure can decrease spherical aberration coefficients, and improve the convergence of three beams without deteriorating of the focusing performance.

分析表明这种结构减小了透镜像差，并且解决了缩小束间距引起的球差系数和放大率上升的问题。

According to the concept of strain energy of cracked materials, the orientation tensor of crack was defined. Considering the crack-closing and friction between crack surface under compression, The damage tensor, damage strain and effective elastic modulus were formulated. A method for discrete description of damage mechanism was given, and the evolution equation of discrete orientation density of crack was obtained. The relationship of micromechanism and the macro-representation of concrete failure were studied.

从含裂纹材料的变形能出发，引出了裂纹的方位张量；在考虑裂纹受压闭合与滑动摩擦的基础上，给出了损伤张量、损伤应变和有效弹性系数的表达式，在损伤机构离散化方法的基础上，给出了方位密度的演化方程；将上述损伤理论应用于混凝土的损伤分析，研究了混凝土破坏的微观机制与宏观表现的关系及Griffith准则和Mohr-Coulomb准则的相似性问题，对修正的Griffith准则进行了改进。

The simulative model of temperature field and stress field in concrete , Heat and moisture coupling、Parallel simulative calculation of concrete with water pipe cooling、 Parallel feedback analysis of thermal characteristic parameters, and stress intensity factor of induced joint, which are the sixty-four-dollar questions, are studied in this dissertation. The main contents of this dissertation are as follows:(1)Based on the past and current research work, the calculation theory of the transient temperature field and creep stress field of mass concrete which self temperature influence is considered is deduced. The couple effect between the temperature field and humidity field of concrete, is considered on the basis of conservation law of water and energy, and the coupled formulation which coefficient is not constant of the heat and moisture in concrete is deduced. The calculation theory and model which is theoretically strict for solution to thermal problem in concrete with water-cooling pipes are recommended.

本文主要针对混凝土的温度场应力场仿真计算模型、热湿耦合、水管冷却问题的并行仿真、混凝土温度参数并行反演分析以及诱导缝应力强度因子计算等混凝土大坝温度应力数值仿真的关键技术进行了较为深入的研究，全文主要内容如下：(1)在现有研究基础上，推导了考虑自身温度影响的混凝土非稳定温度场和徐变应力场的计算理论；基于水分质量守恒和能量守恒原理考虑混凝土温度场和湿度场的耦合作用，推导了混凝土的变系数热湿耦合方程，并建立了相应的计算模型；引用严密的水管冷却混凝土温度场的计算理论和计算模型，比较了两种简化计算方法用于水管冷却混凝土仿真计算的不足。

The dissertation established the method and VE-AMSAA model of integrated evaluation of reliability based on varied population-environment data by using of reliability growth AMSAA model as foundation. By conversing time of test in AMASSA model, the difficulty in subinterval estimation of this integrated evaluation of reliability was solved and determination of environment conversion factors based on AMASSA model was also presented, including optimizing principle and method.

建立了基于可靠性增长AMSAA模型的变母体变环境数据可靠性综合评估方法和模型VE-AMSAA模型，通过对AMSAA模型中的试验时间进行折合，解决了变母体变环境数据可靠性综合评估的区间估计问题，并给出了基于AMSAA模型的环境折合系数的确定方法，包括优化准则、寻优方法。

The method can solve numerical problems as well as symbolic problems in which the coefficients are symbolics other than numerical values.

本文提出的这一方法用来求解数值模型和符号模型（即已知系数是符号而不是具体数值）的符号形式表达的最优解和/或求解问题的全部最优解。

According to GBEM,a fullysymmetric Galerkin multi-zone boundary element methodisproposed in this paper.Based on regarding the coefficient matrix as thesum of a symmetric part and a non-symmetric one,this problem is solvedby adopting a proper assembly.Following this treatment,GBEM will beextended for a wide scope.

针对这一问题，(1)本文在单域伽辽金边界元的基础上，采用先生成各子域的方程，将系数矩阵表达为对称部分与非对称部分之和，通过恰当的集成方式，消除非对称部分的方法，提出了一种完全对称的伽辽金边界元子域法，拓宽了伽辽金边界元法的使用范围。

The diffusion structure tensor in the diffusion coefficient function is a vector-valued structure tensor, which integrates the intensity and structure information of each channel, as well as the correlation among channels.

扩散滤波器中的扩散系数定义为关于彩色结构张量的函数，以使图像演化能够综合各通道信息，解决了各通道所得位移场不一致而引起的色彩混迭问题。

This dissertation proposes group reasoning and group AHP-based GDSS structure and its decision steps to solve the problems existing in research of theory and application of GDSS. Besides, the dissertation also studies the method of group reasoning on rough-set and qualitative reasoning method basis in GDSS. It also studies on constructing method of hierarchy structure of group AHP in GDSS and combinative method of judgment matrixes. Moreover, it studies on method regarding construction of judgment matrixes on rough set based and optimization theory of convex combination parameters of judgment matrixes as well. Finally, it develops an AHP based GDSS to demonstrate the efficiency of these methods.(1) This dissertation also summarizes the developing trend of GDSS and analyses problems as regards the research of GDSS.

本论文针对GDSS理论研究及应用中存在的若干问题，提出了基于群体推理及群体层次分析法的GDSS结构，并给出了基于该结构的GDSS的决策程序；研究了GDSS环境下的基于粗糙集理论及定性推理技术的群体推理方法，并举例说明了方法的有效性；研究了GDSS环境下群体AHP层次结构的建立、判断矩阵集结的理论与方法；研究了判断矩阵凸组合系数的优化原理；探讨了基于Rough Set的判断矩阵构造方法；开发了一个基于AHP的GDSS原型系统，旨在验证本文关于GDSS环境下群体AHP有关方法的有效性。

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。