系数问题

According to order relations defined between interval numbers, a fuzzy evaluation function is introduced into a multiobjective programming problem, this method results in the conversion of the complex multiobjective programming into the single objective programming.

摘要对系数为区间数的多目标线性规划规划问题，在区间数序关系下提出了序关系评价函数概念，并给出了一个命题，用此方法可将复杂的多目标线性规划为简单的单目标规划。

The calculation methods are presented for the reflection and transmission of ultrasonic waves incident from the fluid on to the arbitrary orientation interface of the general anisotropic solid. It is found that the reflection and transmission coefficients depend on, in general, the elastic parameters of the media, orientation of anisotropic solid surface and incident angle.

考虑到由流体斜入射到各向异性固体时超声波模式转换的一般情况，给出了超声在流体和各向异性固体任意取向界面上反射和折射问题的求解方法；超声反射和折射系数是媒质弹性参数、界面取向及入射角的函数。

Partial and total differentials, Vector analysis, Orthogonal curvilinear coordinates, Matrices and

基础物理数学( S0043)(0，3)/基础应用数学( S0249)(0，3)偏微及全微分(1)、向量分析(7)、正交曲线座标系(3)、矩阵及本徵值问题(4)、常系数全微分方程式(1)。

The result which could be verifried to confirm the unitary nature and orthonormality is got. So it proves that the EFM is correct and concise on the representation theory of group.

计算结果表明所得母分系数满足幺正性、归一性，证明了本征函数法处理群论问题的正确性和简洁性。

The HELS method expresses sound field as a series of base functions,which are obtained by the Gram-Schmidt orthonormalization of spherical wave functions.

针对HELS方法重建声场过程中矩阵病态和奇异的问题，提出了采用奇异值分解的方法求解组合系数。此外，提出了采用循环迭代的优化方法确定线性组合的项数。

This paper systemically introduces the history and current status of the study on the problem of orthotropism and displacement back analysis, recounts and concludes the analysis theory about anisotropic rock mass, brings forward some models of displacement back analysis of the rock such as layered orthotropic model, proportional coefficient model, layered homogeneous model and equivalent simplificated model, and establishes target unknown, target functions and arithmetic for these models respectively, through analyzing the character of layered orthotropic rock mass.

本文系统介绍了正交各向异性问题和位移反分析方法研究的历史与现状，叙述与归纳了各向异性岩体的分析理论，通过分析成层正交各向异性岩体的特点，对该类岩体的反分析方法提出了分层正交各向异性模型、比例系数模型、分层均质模型和等效简化模型，并对各类模型分别确定了目标未知数、目标函数与算法。

However, in some terrain orientations, SCS might encounter the overcorrection problem similar to other simple photometric functions.

为了解决这个问题，研究者在SCS校正模型中引入C校正系数来解释散射辐射项，提出了SCS+C校正模型。

If the pattern has a low rate of convergence, the time of the human and machines will be wasted and the answer are not surely attainable.So,we must look for the patterns with the high rate of convergence or try to settle some parameters of the iteration patterns (for instance the overrelaxation parameter of SOR iterative method).

本文第二章针对AOR迭代法考察了当线性方程组的系数矩阵A为(1，1)相容次序矩阵且其Jacobi特征值为纯虚数或零时的迭代收敛范围，最优参数(即最优松弛因子和最优加速因子)及与之相应的谱半径，并将此最优谱半径与相应的SOR的进行比较，定量的给出在不同条件下，AOR和SOR迭代法各有其优越性，从而圆满的解决了在这两种迭代法之间如何适当的选择最佳迭代法的问题。

First, the paper proves the well-posedness of the encryption and decryption problems, which provides theoretical bases for experiments of encryption and decryption; Then presents a fast iterative algorithm, which is proposed based on the special sparse structure of the coefficient matrix of the two-dimensional C-N difference scheme, and successfully experiments on images encryption and decryption; At the end, the security of the methods of images encryption and decryption based on the two-dimensional Pseudo -parabolic Partial Differential Equation is experimented and discussed particularly.

首先证明了基于二维连续模型的加、解密问题是适定的，为加、解密实验提供了理论依据；然后根据模型的二维C-N格式系数矩阵的特殊稀疏结构，给出快速迭代求解算法，并成功地进行了图像加、解密的数值试验；最后对基于二维伪抛物型方程的图像加、解密方法的安全性进行了详细的试验讨论。

Then the stability solution of the variable cross-section compression bar, that is discribed by a partial differential equation with variable coefficient is transformed into solving a set of algebraic equations established in the subspace.

首先以均匀梁的低阶纵向振动模態函数构成求解子空间，然后在此子空间中把变截面压桿稳定由变系数偏微分方程描述的求解问题转化为非线性代数方程组的求解，从而简化了计算过程。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐