正交系

零阶贝塞尔函数组成的两个正交系

Two orthogonal system composed of Bessel 's functions with degree 0

主成分分析能够将具有相关关系的复杂多维数据投影到正交系上，提取出相互独立的主成分，通过忽略次要成分来压缩元。

PCA can project complicated related multi-dimensional data into an orthogonal system to extract independent components , and discard unimportant components to reduce data dimension .

对CMM系统进行了功能分解和优化重组，论证了非正交系CMM的可行性；

The CMM system functions is decomposed and recomposed for optimization , the feasibility of non-orthogonal coordinate mechanism is proved .

Banach空间上基本完全的双正交系成为Cesaro基的充要条件

The necessary and sufficient condition in Banach spaces

引入了p－进Haar函数系和p－进Franklin函数系，证明了它们都是〔0，1〕上完备的标准正交系，而且是空间C〔0，1〕的（广义）Schauder基。

In this paper we introduce the p adic Haar system and the p adic Franklin system , and it is proved that they are complete orthonormal systems on the interval , and they are the ( generalized ) Schauder bases of the space C.

利用BK空间的理论讨论了具有给定的完全双正交系的Banach空间X的乘子空间M（X）的性质，给出了Banach空间X上基本完全的双正交系成为Cesaro基的充要条件。

Utilizing the theories of BK spaces , this paper discusses the properties of multiplier spaces M ( X ) . The necessary and sufficient condition , which fundamental and total biorthogonal system in Banach spaces is Cesaro basis , is given .

本文利用BK空间和乘子空间的性质，讨论了在不含C0的C0py的Banach空间上基本完全的双正交系成为无条件基的充要条件。

Utilizing the theories of BK spaces and multiplier spaces , this paper discuss the necessary and sufficient condition which fundamental and total biorthogonal system in Banach spaces which don 't contain copy of is unconditional basis .

对于环绕原点的任意闹曲线上的一类双正交系，本文讨论了完备性及其有关的稠密性和Parseval型等式。

For a kind of biorthogonal system on an arbitrary closed curve surrounding the origin , the completeness , the density and an analogue of Parseval equality are discussed .

非正交系非接触坐标测量机关键技术研究

Study on Key Technology of Non-Orthogonal & Noncontact Coordinate Measuring Machine

非正交系坐标测量系统原理及进展

Principle and developing trend of non-orthogonal coordinate systems

由一阶贝塞尔函数组成的两个正交系的证明

The proofs of the two orthogonal function systems formed by first order Bessel functions

赋范线性空间中的双正交系

The biorthogonal system in Normed Linear Spaces

最优化方法在拟合正交系晶体弹性及压电系数中的应用

Application of Unconstrained Optimization in the datum Fitting for the Elastic Elastic and Piezoelectric Constants of Orthogonal Crystal

然而随着生产和科学的发展。出现了越来越多的场合要求采用非正交系坐标测量系统。

With the development of productivity and science , however , more and more situation is required to use this system .

本文在阐述了重复技术的优点及捷联制导的重复方法（十二面体方法及非正交系方法）后，提出了自己的重复方法。

This article covers the advantages of the repeated method and the applications of the repeated method in strap-down inertial system .

经典特征模理论提供了一套在导体表面形成加权正交系的特征电流，在无穷远球面上形成正交系的特征场。

The mode currents form a weighted orthogonal set over the conductor surface , and the mode fields form an orthogonal set over the sphere at infinity .

应用修改的沃尔什函数正交系的概念，从理论上证明了这种调制的可行性，且给出了电路设计及初步实验结果。

By using the " modified " Walsh function orthogonal set , we prove this method theoretically available , giving detail scheme of the circuit design and the results of preliminary test .

GTEMCell非正交坐标系下的时域有限差分法分析

Analysis of GTEM cell using FDTD method in generalized nonorthogonal coordinate

广义正交坐标系FDTD算法的准完全匹配层吸收边界条件

Quasi - Perfectly Matched Layer Absorbing Boundary Conditions for FDTD Algorithm in Generalized Orthogonal Coordinates

提出了一种基于离散Fourier正交函数系与离散Chebyshev正交多项式的图像正交矩。

A new set of orthogonal moment functions were introduced based on the discrete Fourier functions and the discrete Chebyshev polynomials .

本文将一次U系统的正交函数系应用到商业票据防伪中，给出了一种新的数字水印算法。

A one degree orthogonal function of U system is applied to the anti-counterfeit of commercial bills , and a novel digital watermarking method is put forward .

对基于非正交坐标系的SVPWM控制三电平逆变器进行仿真，给出仿真结果以及中点电位波形。

Based on non-orthogonal coordinate system of three-level inverter SVPWM control strategy r for simulation , simulation results were given , as well as the mid-point potential waveform .

二是引进了semiReinhardt域的概念并求出了它的完备标准正交函数系。

Another one is to introduce the notion of semi Reinhardt domain and to compute the complete orthonormal system for the semi Reinhardt domain .

应用正交函数系级数展开法分析结构的理论，以带附加补充项的Fourier级数作为挠度函数模式，求解了Pasternak地基上自由边矩形板的弯曲问题。

In this paper , through structure analysis by means of orthogonal function system expansion , a Fourier series solution for the bending problem of the rectangular plates with free edges on Pasternak foundation is reached .

本文提出了一个用大气自由振荡解析的垂直正规模为正交函数系构成一个完备的Hilbert空间，利用广义Fourier展开的概念，在垂直方向进行广义Fourier展开，对大气数值模式进行垂直积分。

This paper develops a technique of vertical integrations of numerical models of the atmosphere using generalized Fourier expansion in which orthogonal functions are analytic vertical normal modes , that construct a complete Hilbert space , two systems of vertical normal modes are used .

在开关调制环节中，针对常规多电平SVPWM算法复杂、处理过程长这一突出缺点，首次提出了一种新型非正交坐标系多电平SVPWM统一简化算法。

In modulation section , because of the complication of normal multilevel SVPWM algorithm , this article originates a new kind of nonorthogonal coordinates and a simplified unified multilevel SVPWM algorithm , based on the proposed nonorthogonal coordinates .

由于端点系有集中质量的弹性杆的振动问题的边界条件不是斯特姆-刘维本征值问题所要求的边界条件，分离变数所得到的函数系{Xn（x）}不是正交函数系，故求解十分困难。

It 's very difficult to solve the oscillation problem of elastic rod with concentrated mass on the end because the boundary condition in this case is not the one required by Sturm Liouville eigenvalue problem and the functions { X n ( x ) } are not orthogonal ones .

以在空间曲线理论中起重要作用的富列耐塞勒（FrenetSerret）公式为基础，把BHA所受的力及力矩表示为三维非正交坐标系中视分量的形式，建立了力和力矩平衡方程。

Based on the Frenet-Serret formulas which are very important in the vector and tensor analysis theory , the force and moment equilibrium equations are established by the technique of apparent components system .

针对于多电平SVPWM，本文首次指出坐标系选取不当是造成计算复杂的根本原因，并建立了一种新型的非正交坐标系&KL坐标系。

As for multi-level SVPWM mode , that an unsuitable coordinate to be chosen is the essential reason that results in complicated computation is firstly pointed out in the papers , and in addition a novel nonorthogonal coordinate & KL coordinate is established .

推广完备正交函数系（OFSE）展开方法，应用它研究冕环中无耗散扭转Alfven波和快波耦合的时变过程。

Complete Orthogonal Function Series Expansion ( OFSE ) method is generalized and applied to make research about the time evolution coupling process of fast and Alfven waves in coronal loops .