求解

This thesis also researches following topics, such as the usage of the homography matrix, the method to solve the over-determined linear equition set, the improved 8-point algorithm and some image processing techniques. We conduct some preliminary experiments to applys above technique to broadcasting of sports events, and some preliminary resulted are presented also.

论文所研究的其他内容还包括使用单应性矩阵寻找平面的对应关系，超定方程组的求解，改进的8点法求解基础矩阵以及一些图像处理技术的应用，并将这种生成虚拟图像的技术应用到体育比赛转播中去进行了初步的尝试和探索。

The method is also used in the solution of inverse problem of environmental hydraulics and a satisfactory result is achieved by using this method.

重点的讨论了不适定问题的正则化方法，在此基础上，构造了一个求解不适定问题的最佳摄动迭代法，并把它应用在环境水力学反问题的求解中，取得了满意的结果。

According to the relationship between hyperbola and its normal, the analytic equation is discussed.

根据双曲线与其法线的几何特征关系建立了求解法线的解析方程，分析了法线问题解析求解的繁杂性。

This paper analysed every solving method of Arps Hyperbolic decline equation,pointed out their respective shortcomings, and them presented a new method which solves equation.

对J.J.Arps双曲递减方程各种求解方法进行了分析、研究，指出了各自的不足，同时提出了方程求解的一种新方法。

And then fuzzy least square support vector machines are proposed based on support vector domain description. Data samples in the feature space are described and the smallest enclosing hypersphere is obtained. The fuzzy membership value to each sample point is determined according to the distance of each sample from the center of the hypersphere, which can reduce the effect of outliers.

该方法先对样本进行数据域描述得到一个包含该组数据的最小半径的超球，再根据特征空间中样本与超球球心的距离确定它们的隶属度，减少了奇异点的影响；把所要求解的约束凸二次优化问题转化为正定线性方程组，并采用快速Cholesky分解的方法求解该方程组。

This paper uses ridge estimation method to solve the potential ill-conditioned problem in semiparametric regression model.

针对半参数回归模型求解过程可能出现的法方程病态问题，提出了用岭估计原则改进半参数模型的求解。

In the two-dimensional simulation, the fully implicit difference scheme is used for the continuity equations to ensure numerical stability; Jacobian iteration is used to solve the difference equations, and only nonzero elements in the coefficient matrixes of these equations are dealt with, which reduce the requirement for memory and shorten the calculation time.

在两维模拟计算中，对连续性方程采用全隐式差分方案以保证数值稳定性；运用雅可比迭代法求解差分方程组，并且在求解过程中，只对差分方程组系数矩阵中的非零元素进行处理，因此减少了对内存的需求量，而且缩短了计算时间。

At first, for nonlinear assembly function, the implicit differentiation and multi-variables Tayler Series Expansion are used to obtain the linear relationship between input and output.

2三维偏差模型的线性化求解方法传统的蒙特卡洛仿真计算效率低，难以应用于复杂车身装配公差设计这样需求大量迭代运算的场合，本文提出一种高效率的线性化求解方法。

The paper approaches the inapplicability of analysis method to the two above-mentioned mathematical models by using dispersed demoted numerical virtue method.

针对两个数学模型难以用解析法求解的情况，采用离散化数值求解方法进行。

To inequality constraint s, a check procedure and a penalty function procedure are proposed, and equality constraints are dealt with by a procedure of solving equations in which tear equations may be converged by an iterating way or a penalty function way.

在无约束非线性规划问题全局优化的模拟退火算法基础上，进行有约束问题求解的进一步探讨，对不等式约束条件提出了检验法和罚函数法的处理方法，对等式约束条件开发了罚函数法和解方程法的求解步骤，并进行了分析比较，从而形成了完整的求取非线性规划问题全局优化的模拟退火算法。

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。