查询词典 solution set of equation

The basic idea is to set a continuous solution of the region with a finite number of discrete points instead of a grid consisting of, these discrete points called grid nodes the solution of a continuous area on a given function of continuous variables used in the definition of discrete grid variable function approximation the original equation and boundary conditions in the micro-business operators to approximate differential, integral with the points and to approximate, so the original differential equations and boundary conditions are replaced by algebraic equations near Side, that is, finite difference equations , solve this equation group can get the original problem in discrete points on the approximate solution.

基本思想是把连续的定解区域用有限个离散点构成的网格来代替，这些离散点称作网格的节点；把连续定解区域上的连续变量的函数用在网格上定义的离散变量函数来近似；把原方程和定解条件中的微商用差商来近似，积分用积分和来近似，于是原微分方程和定解条件就近似地代之以代数方程组，即有限差分方程组，解此方程组就可以得到原问题在离散点上的近似解。

First, the linear combinations of basic set of solutions to Laplace equation under polar coordinate system are chosen as the approximations for the solution of temperature fields,boundary residual collocation method are applied to calculate the distribution of the temperature fields for single-particle model.

本论文主要完成了两方面的工作，一方面是采用加权残值法和边界元法对不同复合材料模型的2D稳态热传导的温度场进行了求解分析。

It takesthe weighted average of the L2 norm of the difference of the observation and thesolution of the system and the L2 norm of the difference of conormal derivativeat the different sides of the interface for every subdomain as cost functional andthe smooth coefficients of the subproblem and the value of solution of the originalproblem at interface as identification parameters;Using the property of continu-ous functional defined on compact set,the existence of the optimal solution of theidentification problem is proved;The necessary conditions of optimality charac-terized by the system equation,the adjoit equation and the variational inequalitysimultaneously are given by introducing the conception ofdifferential andadjoit variable;An algorithm is devised and its flow graph is given.

其次，针对分片光滑动力系统的特征，结合正演过程的区域分解算法，建立了分片光滑系统的分解区域参数辨识模型，该模型以子区域上解的实测值与计算值之差的L2范数和界面两侧的通量差的L2范数的加权平均作目标泛函，各子问题的光滑系数及界面上真解的值为待辨识参量；利用紧致集上连续泛函的性质，证明了子区域上参数辨识问题最优辨识参量的存在性；引入微分的概念，借助伴随变量，给出了由系统方程，伴随方程和变分不等式共同表征的最优性必要条件；根据此必要条件设计了算法，给出了算法的程序框图。

Firstly, several kinds of schemes were proposed according to the design demand. The best scheme was chosen after analyzing and comparing the schemes. The robot's structure was designed with Pro/Engineer and AutoCAD software. Secondly, the kinematics analysis conducted, coordinate transformation matrix using D-H method was set up, and the kinematics equation direct solution and inverse solution was deduced. The manipulative interface about the kinematics equation direct solution and inverse solution was completed with VC++ and the velocity Jacobian of displacement matrix was constructed using differential transform method. In the process of the trajectory planning based on robot's kinematics analysis, I propone a method by which we can get middle nodal point with normalizing factor in order to simplify our searching for these middle nodal points. In addition, I give these middle nodal points with actual physics signification. For eliminating contradiction between real-time and accuracy, I bring forward separately limit of error and reversal interpolation method. For decreasing calculation quantity, we resort to tri-spline interpolation in the articulation space.We analyse the work range of the robot by resorting to graphic means.

首先，作者针对机器人的设计要求提出了多个方案，对其进行分析比较后，选择其中最优的方案后用Pro/Engineer和AutoCAD软件进行了机器人模型结构设计；其次，进行了运动学分析，用D-H方法建立了坐标变换矩阵，推算了运动方程的正、逆解，运用VC++制作了正、逆运动学求解的求解界面；并且用微分变换法推导了速度雅可比矩阵；在基于机器人的运动学的轨迹规划中，通过在操作空间的规划，提出了归一化因子来求解中间结点，通过它可以使求解中间结点变得更简单，并且赋予这些中间结点实际的物理含义，对于规划中精确性和实时性的矛盾，提出了以误差极限法和反向插值法来解决的方法；为了减少规划过程中计算量，在关节空间进行三次样条插值；然后借助图解法进行工作空间分析，作出了实际工作空间的轴剖图。

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。

If you apply this method to solve problem, most of mechanism synthesis problem will turn into one problem, that is to solve the equation set. The most difficult point is get full solution of the equation set, thus it can provide a wider range for optimized project.

用解方程组法进行机构综合时，大多数机构综合的问题都可以转化为求解非线性方程组的问题，而其难点在于求出非线性方程组的完全解，以便为优选方案提供较大的解空间。

The numerical solution of this kind of partial differential equation by the Boundary Element Method has been unable to be considered for the reason that the basic solution of this equation set has not been found.

由于至今尚未求得此方程组的基本解而无法考虑用边界元法对该种气体流动进行数值求解。

Aiming at the problem that solution FEMequation set needs too much memory, segregated solotion methOd has beenadopted and for the first in China E l em ent- B y- E lement has been introduc edwhen solving flow field parameter equation sets. EBE technology need notassemble and store the global stiffness matrix, and minish effectively memoryrequires of solution equation set, moreover it has inherent high parallelity, andadvance equation solution.

针对求解流场有限元方程组占用计算机内存资源过多、限制求解规模的缺点，采用分离式求解法，在求解流场各参数方程时，在国内首次引入EBE技术，EBE技术不必组集和存储总刚矩阵，能有效地减小了方程组求解时对内存空间的要求，同时EBE技术具有内在的高度并行性，能有效提高方程组的求解速度。

And to study a method for carrying out numerical calculation by adopting the powerful functioned mathematical software MATHCAD in the solution of coincidence extent on less teeth differenced internal messing and in iterative computation for equation set of interference coefficient of tooth profile overlapping.

提出用CAD法研究三环式少齿差减速器设计的关键问题———内、外齿轮必须采用变位传动的设计，研究在求解少齿差内啮合的重合度和齿廓重叠干涉系数方程组的迭代计算中，选用功能强大的数学软件MATHCAD进行数值计算的方法，计算

By the use of CAD method to carry out the research on key problems of three ring typed less teeth difference reducer-the inner and outer gears have to be designed by adopting modified transmission was advanced. And to study a method for carrying out numerical calculation by adopting the powerful functioned mathematical software MATHCAD in the solution of coincidence extent on less teeth differenced internal messing and in iterative computation for equation set of interference coefficient of tooth profile overlapping.

提出用CAD法研究三环式少齿差减速器设计的关键问题―内外齿轮必须采用变位传动的设计，并研究在求解少齿差内啮合的重合度和齿廓重叠干涉系数方程组的迭代计算中，选用功能强大的数学软件MATHCAD进行数值计算的方法。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失