查询词典 method of approximation

In chapter III,we consider the wavelet method for the approximation of the nu-merical Bergman kernel.It is very clear that the Bergman kernel plays an importantrole in the complex analysis and elliptic equations.The Bergman kernel has a closedrelation with the Riemann mapping,Green function,Neumann kernel and the Szeg〓kernel etc.

第三章研究了数值Bergman核数值逼近的小波方法，Bergman核在复分析和椭圆型方程中占有重要地位，它与Riemann映射、Green函数、Neumann函数、核等有着密切联系。

Exive least-squares solutions, antire?exive least-squares solutions, bisymmetric least-squaressolutions, symmetric and antipersymmetric least-squares solutions, symmetric or-thogonal symmetric least-squares solutions, symmetric orthogonal antisymmetricleast-squares solutions and their optimal approximation to the linear matrix equa-tion AX = B, and solve them successfully. 2. For Problem II, we can convert it to another problem of finding the least-squares solutions with the least norm of a new consistent matrix equation. Onthe base of the solutions of Problem I we can apply the iterative method to get

本文所构造的迭代法的优点在于先利用法方程变换将求矩阵方程的最小二乘解转化为求一个相容矩阵方程的解的问题，再利用迭代法对于任意给定的初始矩阵进行迭代，均可在有限步内迭代出所求问题的一个解；可将问题II转化为求新方程的极小范数解的问题，同样用迭代法求解，从而系统且全面地解决了问题I、II在约束矩阵类如中心对称、中心反对称、自反矩阵、反自反矩阵、双对称、对称次反对称、对称正交对称、对称正交反对称矩阵中的最小二乘解及其最佳逼近问题。

The first order approximation solution of temperature and interface for the spherical crystal growth in the undercooled melt is solved by the asymptotic analysis method.

结果表明在球晶生长过程中依赖于界面温度变化的界面动力学显著地减缓了晶体生长的速度，与忽略界面动力学的情形比较，界面动力学显著地拟制了球晶界面生长。

In order to reduce these shortcomings, on the basis of enriched polynomial basis functions, weighted orthogonal basis functions are used to obtain the MLS approximation by using a Schmidt orthogonalization. In the end, the improved LBIE method for elasticity fracture is proposed.

为了改善这些不足，本文在扩展的多项式基函数的基础上，利用Schmidt正交化方法构造带权的正交基函数，建立了断裂力学的改进的局部边界积分方程方法。

For the better approximation of segmented regions, the Gram-Schmidt method, by which a group of orthogonal base functions is constructed from a group of linear independent initial functions, is adopted.

然后，为了有效的近似各分割区域图像，本文采用施密特正交化方法，从一组线性独立的初始函数构造一组正交基函数。

In this paper, the stray light and ghost image caused by multi-reflection in high power infrared optical systems are analyzed and discussed, and the comprehensive method incorporating paraxial approximation and real ray trace is presented; the data structure of binary tree is used in the storage of interdata so that the storage problem of huge-size data is resolved.

本文主要研究了大功率红外光学系统中光学表面多重反射而形成的杂散光及其数学模型与计算方法，提出了将近轴近似法和有限光线追迹法相结合的综合分析方法；同时在数据存储方式上采用二叉树这种数据结构，巧妙地解决了鬼像分析中海量的中间数据存储的问题。

Therefore, to the subsample's observation of continuous random parent population, if its material function can not be gotten easily,the presented method can be used to approximate its distribution function,and good approximation effect can be achieved.

因此对连续型随机样本母体中的简单随机子样的观察值，在不易得到其具体分布的情况下，可用此方法来近似求出其分布函数并可达到很好的逼近效果。

The spread paths of common mode and differential mode noises in an SMPS under electrical fast transient/burst are studied and discussed. Hereby for single transient pulse, the vector fitting method is adopted combining rational function approximation according to the tested waveform to construct the a mathematical modeling of frequency, then a pole-residue representation is obtained by partial fraction expansion, and the last step are to draw a state space description and equivalent circuit.

在分析开关电源进行电快速瞬变脉冲群骚扰试验时共模和差模噪声的传播途径的基础上，对于单个脉冲，根据试验数据采用矢量匹配法结合有理函数逼近构造得到频域下的数学模型，通过部分分式展开得到零极点表达式，并最终得到相应的状态空间方程以及等效电路。

The gamma function calculation of Pearson type III distribution is investigated,a new approximation method by using cone curve is put forward,and neither numerical integral nor series expansion may be used.

对皮尔逊Ⅲ型分布公式中伽玛函数的计算问题进行了研究，提出了一种新的数值逼近方法，在一定范围内对伽玛函数用圆锥曲线表示，利用递推公式扩大参数范围，免去了数值积分和用级数展开计算的麻烦。

We must seek two main approximation methods of solution , the variation method and perturbation theory

我们必须寻求两个主要的近似解法、变分法和微扰法。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。