勒让德多项式

正交基在L2，勒让德多项式，三角函数的基础。

Orthonormal basis in L2 , Legendre polynomials , basis of trigonometric functions .

角度部分的DVR基组选择勒让德多项式形式，而径向坐标采用正弦函数形式。

The angular coordinate used a DVR based on Legendre polynomials and the radial coordinates utilized a DVR based on sine basis functions .

利用坐标旋转后球坐标变量间的关系和连带勒让德多项式的性质推导得到了n次1阶球谐函数的加法公式；

The addition formula of spherical harmonics function of degree n and order 1 is derived using the relations between coordinate varieties after coordinate rotating and the property of the associated Legendre polynomial .

非线性判别函数的基于MDL标准的勒让德多项式构造法

A Constructing Method of Non-linear Discriminating Function Based on MDL Criterion Using Legendre Polynomials

通过对传统的勒让德多项式展开，Delta-M法，δ-fit法三种方法的比较，说明δ-fit法是辐射传输计算中最好的处理相函数的方法。

It proved that the δ - fit method is best fitting for phase function by comparing the result with traditional Legendre Polynomial expansion technique and Delta-M method .

配合将年龄的勒让德多项式作为自变量的随机回归模型，用平均信息约束最大似然（AIREML）法估计。

A random regression model with Legendre polynomials of age as independent variables was used to estimate the covariance functions by restricted maximum likelihood employing the average information algorithm ( AIREML ) .

关于勒让德多项式的积分表示研究

Research on Integral E x pression of Legendre Polynomial

变换的勒让德多项式用于线性延迟系统的分析和参数估计

Analysis and Parameter Estimation of a Linear Time-delay Systems via Shifted Legendre Polynomials

利用勒让德多项式求解线性系统最优控制的近似方法

An Approximate Method to Solved Optimal Control of Linear Systems Via Legendre Polynomials

关于勒让德多项式的算法问题

The problem on the algorithm of Legendre polynomial

关于勒让德多项式与契贝谢夫多项式间的关系

On relationship of Legendre polynomials and Chebyshev polynomials

用勒让德多项式拟合角分布数据

The Legendre polynomial fitting of angular distribution data

用勒让德多项式逼近结构的瞬态响应

Approximation of Transient Structural Response with Legendre Polynomial

对广义罗尔定理进行了证明，并应用广义罗尔定理讨论了勒让德多项式的零点。

This paper demonstrates the generalized Rolle theorem and discussed the zero of Legendre polynomials .

其次，我们还融合了勒让德多项式估计的指纹方向场特征来提高识别的准确性。

Secondly , we fuse ordinal feature and fingerprint orientation estimated by Legendre polynomials to improve the verification performance .

通过实例分析，探讨用勒让德多项式和定解条件求解静电场时确定系数的方法。

By analyzing the sample , study the method of seeking given parameters by using Lengendre polynomials and condition of fixed solution .

所采用的高阶基函数是基于修正勒让德多项式的高阶叠层矢量基函数，具有很好的正交性。

In the higher-order MoM , the higher order hierarchical basis functions consisting of the modified Legendre polynomials are of good orthogonality .

一般多项式都可以展开为正交多项式的级数形式，而勒让德多项式、厄米特多项式和拉盖尔多项式都是典型的正交多项式。

All ordinary polynomials have series expansion of orthogonal polynomials , while Legendre polynomials , Hermite polynomials and Laguerre polynomials are special orthogonal polynomials .

首先，利用移位勒让德多项式展开和积分运算矩阵，把微分方程化为便于计算机计算的矩阵代数方程形式；

First , using the expansion of shifted Legendre polynomials and the operational matrix of integration , we transform the differential equations to a computationally convenient matrix-algebraic form ;

根据计算精度要求，确定福里哀级数和勒让德多项式的项数，从而得到实用简化公式。

According to the desired accuracy , we determine the number of terms in the Fourier series and Legendre polynomials , then the Practical simplified formulae are obtained .

应用勒让德多项式的加法定理和类似于求傅里叶系数的方法，导出了新展式中系数的普遍表达式。

The method , which we use to derive the general expressions for the new coefficients in the development of gravity anomaly Ag ( m , a ), is analogous to Fourier 's.

详细介绍了未定结构型式的挠性轴的等应力设计方法与步骤，并应用修正的勒让德多项式作松弛因子，以加速迭代收敛过程。

The method and procedures for the even stress design of the flexible shaft with undetermined structural pattern is presented , and the revised Legendre multinomial is applied as the slack factor for speeding up the iterative convergence process .

利用勒让德正交多项式的三对两两互反特性，来表示六种板形基本模式，提出改进的板形模式识别方法，即提出基于加权海明（hamming）距离差的模糊模式识别。

This paper explains a method of flatness pattern recognition , i.e. utilizes character of three pair of Legendre orthogonal polynomials opposite each other to show six flatness typical patterns , bases on the fuzzy recognition methods of margin of weight hamming distance to making flatness pattern recognition .

建立了粗轧机板形标准曲线的设定模型，推导出三个隶属度分别代表勒让德正交多项式的一次、二次、四次的板形的特征参数。

A presetting model of flatness target curve in cold roughing mill was established . This paper infers three membership grades to express each of flatness characteristic parameter of Legendre orthogonal polynomial term of first degree , term of second degree and term of fourth degree .

勒让德（Legendre）多项式的Padé逼近法

Pad é method of approach of Legendre polynomial