分解系数

Then,a new fast algorithm of the minimal norm least squares solution for linear system whose coefficients is an m×n symmetric Loewner matrix with full column rank is given by forming a special block matrix and researching the triangular factorization of its inverse.

对于工程计算中常常遇到的一类线性方程组的求解，通过构造特殊分块矩阵并研究其逆矩阵的三角分解，给出了求秩为n的m×n阶对称Loewner矩阵为系数阵的线性方程组，及极小范数最小二乘解的快速算法，该算法的计算复杂度为O+O(n2)，而一般方法的计算复杂度为O(mn2)+O(n3)。

A new fast algorithm of the minimal norm least squares solution for the linear system whose coefficient matrix is an m×n Loewner-type matrix with full column rank is given by forming a special block matrix and researching its triangular factorization.

通过构造特殊分块矩阵及其三角分解给出了求秩为n的m×n阶Loewner型矩阵为系数阵的线性方程组极小范数最小二乘解的快速算法，该算法的计算复杂度为O+O(n2)，而一般方法的计算复杂度为O(mn2)+O(n3)。

In Chapter three, by constructing a special partitioned matrix and studying the fast triangular factorization of its inverse matrix, we respectively give fast algorithms for the minimal norm least squares solutions of linear equations which coefficient matrices are n×m Toeplitz type matrices and Vandermonde-Loewner type matrices with full column rank.

第三章通过构造特殊分块矩阵并研究其逆矩阵的快速三角分解，分别给出了求以秩为m的n×m阶Toeplitz型矩阵和Vandermonde-Loewner型矩阵为系数阵的线性方程组极小范数最小二乘解的快速算法，并通过算例将新算法与已有的法方程组的方法和正交化方法作了比较。

From the point of algebra, ablock decomposition formula for coefficient matrix of discrete Hartley transform isgiven, from which a new fast DHT recursive algorithm is derived.

本文首先从代数角度出发，给出离散Hartley变换系数阵的一种块分解式，由此导出DHT的一种新的快速递归算法。

Through calculating marginal effect coefficients to administrative expenditure of finance of the economic development level and system transition process, we can decompound this disparity into different factors, and divide into four kinds of forming mechanism,from which we can analyze their different policy implications.

通过测算经济发展水平和体制转轨进程对财政行政支出的边际效应系数，可以对各地区财政行政支出的离差进行因素分解，将其形成机制划分为四种类型，从中可以分析出它们不同的政策含义。

Through calculating marginal effect coefficient to the relative transaction cost of the economic development level and system transition process , we can decompound the regional difference on this two factors, and divide four kinds of forming mechanism of regional disparity of transaction cost.

通过测算经济发展水平和体制转型进程对相对交易费用的边际效应系数，可以对各地区交易费用离差进行因素分解，从而划分交易费用地区差异形成机制的四种类型。

By the EEOF analysis of subsurface ocean temperature anomaly in the equatorial Pacific Ocean, It is founded that, the first eigenvector is the mode about El Nino and it reflects the entire generation, persistence and diminishment process of El Nino phenomenon, there is good contemporary correlation between the corresponding time coefficient and the Nino3 index.

本文通过对赤道太平洋次表层海温距平场的EEOF分解，发现第一特征向量是关于El Nino的模态，它反映了El Nino的发生持续消亡的整个过程，对应的时间系数与Nino3指数有很好的同时相关。

Based on the energy operator Teager of the wavelet coefficients,the energy of the decomposed magnetic memory signals was increased.Using the signal singularity detection theory of the wavelet transform,combining the observation on the multidimensional transform results and the in Russia patented technique,the selfadaptive wavelet noise suppression of the signal was realized and the characteristic gradient of the magnetic memory was extracted.

基于小波系数的"Teager"能量算子，增强了分解后的磁记忆信号能量；从小波变换的信号奇异性检测理论出发，把多尺度变换结果观测与俄罗斯专利技术相结合，能准确判断异常应力集中区，实现了信号自适应小波消噪，提取了磁记忆的特征量梯度。

In this paper, to reduce cogging torque in solid-rotor permanent magnet synchronous motors, an analytical method, which was based on energy method and Fourier expansion, was proposed to obtain the expression of cogging torque, which can express its relation with design parameters.

为削弱实心转子同步电动机的齿槽转矩，文中提出了一种基于能量法和傅立叶分解的的解析分析方法，给出了能明确表达齿槽转矩与设计参数关系的齿槽转矩解析表达式，据此研究了极弧系数对齿槽转矩的影响。

Based on the establishment of a model of silicon dioxide structure, the effect of germania concentration across the fiber core on Raman gain spectrum was analyzed by the method of Gaussian decomposition.

分解图谱表明掺杂物破坏了二氧化硅的分子结构，并在拉曼增益范围内产生了新的峰值，从理论上证明了光纤掺杂物对拉曼增益系数和增益谱的影响。

Cynanchum Lingtai apricot production in the average weight 65 grams, the brightly-colored fruit, juicy rich, sweet-sour taste, sweet from the nucleolus, when the late Qing Dynasty famous Shaanxi, Gansu provinces, the Qing imperial court Tongzhi tribute for years.

灵台生产的牛心杏平均单果重65克，果实色泽鲜艳，汁多味浓，甜酸适口，离核仁甜，清末时就驰名陕、甘两省，清同治年间曾为朝廷贡品。

Chenopodium album,Solanum nigrum, and Amaranthus retroflexus were very susceptible to the herbicides. Polygonum persicaria and Abutilon theophrasti were relatively less susceptible to the herbicides, and Lycopersicon esculentum was not susceptible to it. The relationship between reduction rates of weed biomass and PPM values of weed leaves 2,4, and 6 days after treatment was established.

供试的6种杂草对该混剂的敏感性存在显著差异：红心藜Chenopodium album、龙葵Solanum nigrum和反枝苋Amaranthus retroflexus对该混剂最敏感，ED90值分别为47.65、71.67和29.17g/hm2；春蓼Polygonum persicaria和苘麻Abutilon theophrasti敏感，ED90值分别为96.91、114.20g/hm2；而番茄不敏感。