第一节我们给出了多元正交多项式再生核的一个广义极小性质。
In the first section, we give out a generalised minimum property of then-th reproducing kernel of the multivariate orthogonal polynomials.
利用这一公式建立了常微分方程初值问题的正交多项式拟合算法。
By using this formula, orthogonal polynomial fitting algorithm for initial value problems of ordinary differential equations is established.
本文给出了一种等重复数据情形下的非等距正交多项式回归模型。
In this paper, an orthogonal polynomial repression model of non-equidistant points for equal-replicate data was proposed.
本文基于切比雪夫正交多项式数值逼近方法，提出预测智能控制算法。
The predictive intelligent control scheme is proposed, which is based on approximation theory and numerical method of Chcbyshev orthogonal polynomial.
本文研究用正交多项式逼近非线性趋势，然后对残差进行单位根检验的方法。
Orthogonal polynomial approximation is proposed to estimate the nonlinear deterministic trend and then the residual is used to test the unit root.
采用一族能较好地逼近弯剪型变形曲线的正交多项式作基函数来描述位移沿竖向变化。
The orthogonal polynomials approximated to shear-moment deformation curves were employed as the basic function to describe the displacement variation along the vertical.
提出了描述标准击实试验中土料干密度和含水量之间函数关系的拟合正交多项式方法。
Fitting orthogonal polynomial method for characterizing the functional relationship between the dry density and moisture content of earth-fill in standard compaction test is presented.
试验中采用了三因素三水平正交多项式回归设计，并建立了影响再生效果的数学模型。
In the experiment, normal multinomial regressive experimental design of three factors and three levels was adopted and mathematical models of regeneration effect were set up.
通过对回归滤波器的计算复杂度的研究，寻找使回归滤波器计算量最小的正交多项式。
Through the study of the computational complexity of regression filter, the orthogonal polynomials which make the regression filter has the minimum computational complexity are found.
采用正交多项式回归分析法建立回归模型，并对回归方程和回归系数进行显著性检验。
The method of orthogonal polynomial regression was used for regression modeling, and then the regression equations and regression coefficients were tested for significance.
本文介绍一种利用离散正交多项式进行物体表面局部曲面拟合以检测物体的特征的方法。
In this paper a method of using discrete orthogonal polynomials to fitting local surface of object in order to detect characteristics of range images is presented.
雅可比多项式及其特例都是重要的正交多项式，它们在求解数学物理方程中有重要应用。
Jacobi polynomials and its special forms are all fundamental orthogonal polynomials, these polynomial all have important application in the mathematics-physics question.
在这篇论文里，那些作者提出关于复杂的飞机和它的一些申请的正交多项式的一般的理论。
In this treatise, the authors present the general theory of orthogonal polynomials on the complex plane and several of its applications.
从正交多项式的拟合出发，给出了回归滤波器抑制地物杂波的基本原理及其滤波实现过程。
From the orthogonal polynomials fit, this dissertation gives the basic theory of the regression filter for ground clutter suppression and the filtering process using a regression filter.
采用多元正交多项式回归方法建立了冬小麦生产经济收益预测的多元正交多项式回归模型。
We have build the multivariate orthogonal polynomial regression forecasting model of the economical effect on winter wheat production.
本文利用广义正交多项式作为时间有限元的形函数，推导了基于时间有限元的动载荷识别模型。
The dynamic load identification is formulated by time finite element model with shape function of generalized orthogonal polynomial in this paper.
目前的基于多项式、正交多项式和加权正交多项式的图像配准方法是以误差平方和为度量标准的。
To correct the image distortions in orthopedic surgery based on the Xray fluoroscopic image, an orthogonal polynomial and a weighted orthogonal polynomial methods are proposed.
传统的研究方法是采用多元正交多项式回归参数优化设计，通过获得一些经验公式来进行实验研究。
The multi-element orthogonal polynomial regression is used for traditional optimization technique of parametric optimum design, and the experimental research is done by some experiential formula.
作为一种可选定次数的完备正交多项式系统，U系统所定义的矩具有标准正交性、收敛性等优良性质。
As a kind of complete orthogonal polynomial system, U system has many good properties such as orthogonality and convergence.
数值模拟结果与数值解比较表明：正交多项式逼近法能有效地解决此类非线性随机动力系统的响应问题。
Numerical simulation implies that the proposed method is a new effective approach to dynamical responses of stochastic nonlinear systems.
利用正交多项式序列的正交性及微分算子矩阵，论述了时变非线性分布参数系统参数估计的正交多项式法。
New method of parameter estimation for time varying non linear distributed systems is proposed in term of orthogonality of orthogonal polynomial and differential operation matrix.
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.
方法首先讨论了对传统抗呼吸干扰的相干平均法改进，同时提出了估计拟合呼吸波和时域切比雪夫正交多项式消除呼吸干扰的方法。
Method The improvement of coherent averaging method of Reducing respiratory Interference was discussed, and evaluation-fitting respiratory wave and filter of Chebyshev's polynomial as presented.
利用基于正交多项式的分布拟合方法对实际问题进行了损失分布拟合，取得了较为理想的结果，为损失分布的拟合提供了一种新的方法。
It is used the fitting methods based on orthogonal polynomial to study a practical problem, and achieved better results, that provide a new method for the loss of distribution fitting.
整个处理过程分为两步：第一，采用离散正交多项式曲面拟合技术探测边缘位置；第二，运用松弛标定网突出有意义的边缘结构和压缩噪声边缘。
The whole process can be divided into two steps: First, the method of surface fitting with discrete orthogonal polynomial is applied to detection of edge position.
整个处理过程分为两步：第一，采用离散正交多项式曲面拟合技术探测边缘位置；第二，运用松弛标定网突出有意义的边缘结构和压缩噪声边缘。
The whole process can be divided into two steps: First, the method of surface fitting with discrete orthogonal polynomial is applied to detection of edge position.
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