查询词典 correlation matrix

Therefore, in order to offer reference to readers, the paper systematically expound and prove the eigenvalue of special matrix that base on idempotent matrix, antiidempotent matrix, involutory matrix, anntiinvolutory matrix, nilpotent matrix, orthogonal matrix, polynomial matrix, the shape of , matrix, diagonal matrix, invertidle matrix, adjoint matrix, similar matrix, transposed matrix, numerical matrix, companion matrix, and practicality and superiority of the achievement was showed by some examples.

为此本文系统地阐述幂等矩阵，反幂等矩阵，对合矩阵，反对合矩阵，幂零矩阵，正交矩阵，多项式矩阵，形为：，矩阵，对角矩阵，可逆矩阵，伴随矩阵，相似矩阵，转置矩阵，友矩阵一系列特殊矩阵的特征值问题并加以证明，并通过一些具体例子展示所得成果的实用性和优越性。

Results reveal that the spatial correlation properties of MIMO channel are dependent on the PAS, the antenna pattern and the geometric configuration of the array. When the PASs at the base station and the mobile station are independent, the spatial correlation matrix of the MIMO channel is the Kronecker product of the spatial correlation matrix at the BS and the MS. The temporal correlation properties of the MIMO channel are determined by the PAS at the MS, antenna pattern and the traveling speed of the MS. Based on the analysis of the physical essence, the temporal correlation properties are equivalent to the spatial correlation properties at the MS. The joint spatio-temporal correlation properties at the BS and the MS are quite different. When the PASs at the BS and the MS are independent, the spatial correlation at the BS is independent on the temporal correlation, but this is not true for the spatial correlation at the MS.

分析与计算的结果表明，MIMO信道的空间相关特性由角度谱、阵元的方向图、阵元间距以及阵列几何结构决定，并且当发射端与接收端的空间统计特性相互独立时，MIMO信道的空间相关矩阵可以表示为发射阵列空间相关矩阵与接收阵列空间相关矩阵的Kronecker乘积：信道的时间相关仅与MS端的角度谱、阵元方向图以及MS的运动速度有关，通过对信道时间相关的物理本质的研究，说明了时间相关与MS端空间相关的等价性；MIMO信道的空-时联合相关特性在BS端和MS端具有不同的特点，当发射端与接收端的空间统计特性相互独立时，BS端的空间相关与时间相关是独立的，而由于信道的时间相关与MS端的空间相关具有相同的物理本质，MS端的空间相关与时间相关不是独立的。

The fiber length has only little influence on the basic density within the growth rings, and significant correlation at 0.01 levels was found between the basic density and the fiber length among the different rings. Only slight negative correlation was found between the basic density and the fiber width within the growth rings, but significant positive correlation at 0.01 levels was indicated between the basic density and the fiber width among the growth rings, contrary to that of fiber length. It was demonstrated that significant positive correlations at 0.01 levels between the basic density and fiber double wall thickness, fiber length to width ratio and double wall thickness to diameter ratio, significant negative correlations at 0.01 levels between the basic density and fiber diameter and diameter to width ratio, only slight negative correlation between the basic density and fiber width both in the same growth rings and among the different growth rings. No significant correlation was found between the basic density and the vessel morphological features, nor was the tissue proportion in the same growth rings. But among the different rings, it was found there was significant positive correlation at 0.01 levels between the basic density and the fiber proportion among the different rings, and significant negative correlation at 0.01 levels between the basic density and vessel-elements proportion and ray proportion, only slight negative correlation between the basic density and the parenchym proportion. Significant or no significant negative correlation was found between the basic density and the microfibril angle in the same growth rings, but significant negative correlation was found between the basic density and the microfibril angle among the different growth rings.

生长轮内纤维长度对基本密度的影响不大，而在不同生长轮间纤维长度与基本密度达极显著正相关，纤维宽度与此相反，同一生长轮内纤维宽度与基本密度极显著负相关，不同生长轮间只有微弱负相关；基本密度与纤维双壁厚、长宽比、壁腔比在生长轮内和生长轮间均呈极显著正相关，而与胞腔直径、腔径比均呈极显著负相关，仅与纤维宽度呈微弱的负相关；导管形态对基本密度的影响不显著；同一生长轮内组织比量对基本密度的影响也不显著，但不同生长轮间基本密度与纤维比量呈极显著正相关，与导管比量和木射线比量呈极显著负相关，与轴向薄壁细胞比量仅呈不显著负相关；生长轮内基本密度与微纤丝角呈显著或不显著负相关，但在生长轮间这种负相关达到极显著水平。

In this paper, firstly, not only the incidence matrix ,adjacent matrix, cycle matrix, cut-set matrix of an undirected graph are summarized, but also the close contact between a graph and its corresponding matrix are discussed ; secondly, many problems of a graph which are solved by analysing its matrix are listed as follows:1、The co-tree set of a graph is obtained by using its cycle-matrix ; 2、The branches of its spanning tree are given by using its cut-set matrix ; 3、By making use of the incidence matrix of a graph ,not only its vertex cut 、cut vertex 、isolated point and spanning tree can be obtained ,but also the two sides which are whether parallel or not can be judged ;4、By using their adjacent matrix ,the two graphes which are whether isomorphous or not can be judged; once more, there is a detailed introduction in view of special graph (for example: bigaritite graph ,regular graph and so on);last but not least, a graph method of calculating the N power of a matrix is given and the practical applications of the theorem for degree is indicated.

本文首先综述了无向图的关联矩阵，邻接矩阵，圈矩阵，割集矩阵以及图和它对应矩阵之间的关系；其次总结出了利用上述各类矩阵可以解决的图的若干问题：1、利用图的圈矩阵可以求其连枝集；2、利用图的割集矩阵可以求其生成树的树枝；3、利用图的关联矩阵不仅可以求其割点、点割集、连通度、孤立点和生成树，而且可以判断两条边是否平行；4、利用图的邻接矩阵可以判断两个图是否同构；再次，针对特殊图（例如：二分图、正则图等等）的邻接矩阵作了详细介绍；最后，得到了利用图计算矩阵的N次幂的方法，指出度数定理的实际应用。

The rhizosphere soil microorganism and rhizosphere soil enzyme activity werepositive correlated with each other.Except aerobic bacteria and actinomycetes andfungi did not achieve significant or extreme significant correlation with urease,theother factors all achieved significant or extreme significantcorrelation.Besides,through a correlation analysis between rhizosphere agrobiologyand rhizosphere soil nutrient,except rapidly available K was negative correlation with urease and catalase,the other agrobiology factors were positive correlation with soilnutrient, aerobic bacteria and sucrase and catalase were extreme significantcorrelation with alkaline hydrolytic N and organism matter and rapidly available P;actinomycetes was extreme significant correlation with all soil nutrient factors;fungiwas extreme significant correlation with alkaline hydrolytic N and organism matterand rapidly available P, significant correlation with rapidly available K;urease wasextreme significant correlation with alkaline hydrolytic N, significant correlation withrapidly available P.

本试验所测定的根系土壤微生物与根系土壤酶活性间均呈正相关，除了好、气性细菌、放线菌、真菌与脲酶间未达到显著或极显著相关外，其余因子间均呈显著或极显著相关；此外，通过根系土壤生物学因子与根系土壤养分相关分析，发现除了速效K与脲酶、过氧化氢酶呈负相关外，其余生物因子与土壤养分因子间均呈正相关，其中，好气性细菌、蔗糖酶、过氧化氢酶与水解N、有机质和速效P极显著相关；放线菌与所有养分因子间均极显著相关；真菌与水解N、有机质和速效P极显著相关，与速效K显著相关；脲酶与水解N极显著相关，与速效P显著相关。

The first coefficients of canonical correlation of body weight traits with body measurement traits was significant (P.01), the canonical correlation coefficient was 0.828, respectively represented 92.11% of total correlation. The first coefficients of canonical correlation of body weight traits with age-corrected and backfat thickness-corrected of weighting at 100 kg were significant (P.01), the canonical correlation coefficient 0.851, respectively represented 97.80% of total correlation. The first and second canonical correlation coefficients of body measurement traits with age-corrected and backfat thickness-corrected of weighting at 100 kg were significant (P.05), the first canonical correlation coefficient was 0.607, respectively represented 78.52% of total correlation.

体质量与体尺性状间、体质量性状与100kg体质量校正日龄和背膘厚间的第一典型相关系数均达极显著相关水平(P.01)，分别为0.828和0.85，占总相关的92.11%和97.80%；体尺性状与100kg体质量校正日龄和背膘厚间的第一、二典型相关系数达显著相关(P.05)，第一典型相关系数为0.607，占总相关的78.52%。

The incidence of anxiety and depression in patients with FD was higher than that in healthy volunteers; The average extent of anxiety and depression of FD patients was significantly higher than that of healthy people (p 0.001). 2.The total scores of life events and the scores of negative life events in patients with FD was significantly higher than that of healthy group (p=0.014 and p 0.001), but the favorable life events scores was lower than healthy group's(p=0.001). 3. Eight healthy conceptions in the health-related quality of life of FD patients was significantly lower than that of healthy volunteers (p .001). 4. There was positive correlation among the symptom iterated integral, anxiety evaluation and depression evaluation of the FD patients (p0.001). 5. In the FD patients, there was no significant correlation between the evaluation of symptoms and life events. 6. In the FD patients, there was no significant correlation among symptoms evaluation, energy and body ache, and negative correlation among the other 6 health conceptions (p 0.05). 7. There was significant positive correlation among the total scores of life events、negative life events scores and anxiety evaluation of the FD patients(p.01),and also with depression evaluation(p.05),there was no significant correlation among the favorable life events scores with anxiety and depression evaluation both. 8. There was negative correlation among anxiety evaluation, depression evaluation and 8 health conceptions of the FD patients (p 0.001). 9. There existed negative correlation respectively among the total scores of life events and negative life events scores with 6 health conceptions of the FD patients (p 0.05) and 7 health conceptions of the FD patients (p 0.05), there was no significant correlation among the favorable life events scores and the health-related quality of life of FD patients.

结果：1、FD患者焦虑、抑郁的发生率明显高于健康对照组(p.005)，平均焦虑、抑郁程度高于对照组(p.001)。2、FD患者经历的生活事件总值(p=0.014)和负性生活事件值(p.001)明显高于健康对照组，正性生活事件值低于对照组(p=0.001)。3、FD患者的生活质量在8个健康概念上均明显比健康人差(p.001)。4、FD患者的症状积分与焦虑评分、抑郁评分呈正相关(p.001)。5、FD患者的症状积分与生活事件值均无相关性。6、FD患者症状积分与活力、躯体疼痛之间无明显相关性，与其余6项健康概念均呈负相关(p.05)。7、FD患者的生活事件总值、负性生活事件值与焦虑评分均显著正相关(p.01)，与抑郁评分也均呈正相关(p.05)，正性生活事件值与焦虑和抑郁水平均无相关性。8、FD患者焦虑评分、抑郁评分与8项健康概念均呈负相关(p.001)。9、FD患者生活事件总值和负性生活事件值分别与生活质量8项健康概念中的6项和7项呈负相关(p.05)，正性生活事件值与生活质量无关。

Five ways on comparing covariance matrix are applied to the Shanghai 50 Indexes Stock Exchange, which are sample covariance matrix, scalar matrix, two-parameter covariance matrix, single index matrix, constant correlation matrix. We adopt principal components method and Markowitz portfolio method to measure stock market risk using VaR, getting the effect of measuring market risk. The result shows that sample covariance matrix and two-parameter covariance matrix could measure market risk more effectively.

本文以上证50指数数据为样本，采用样本协方差矩阵、数量矩阵、两参数模型矩阵、单指数模型矩阵、常量相关矩阵作为与股票相关的协方差矩阵，结合投资策略选择的主成分方法和Markowitz最优投资组合方法，计算VaR以度量市场风险，并比较了五种协方差矩阵度量市场风险的效果，结果表明，在主成分方法中，样本协方差矩阵和两参数矩阵方法能有效的度量市场风险。

It consists of the next three aspects: firstly, we study Murthys' open problem whether the augmented matrix is a Q0-matrix for an arbitary square matrix A , provide an affirmable answer to this problem , obtain the augmented matrix of a sufficient matrix is a sufficient matrix and prove the Graves algorithm can be used to solve linear complementarity problem with bisymmetry Po-matrices; Secondly, we study Murthys' conjecture about positive semidefinite matrices and provide some sufficient conditions such that a matrix is a positive semidefinite matrix, we also study Pang's conjecture , obtain two conditions when R0-matrices and Q-matrices are equivelent and some properties about E0 ∩ Q-matrices; Lastly, we give a counterexample to prove Danao's conjecture that if A is a Po-matrix, A ∈ E' A ∈ P1* is false, point out some mistakes of Murthys in [20] , obtain when n = 2 or 3, A ∈ E' A ∈ P1*, i.e.

本文分为三个部分，主要研究了线性互补问题的几个相关的公开问题以及猜想：(1)研究了Murthy等在[2]中提出的公开问题，即对任意的矩阵A，其扩充矩阵是否为Q_0-矩阵，给出了肯定的回答，得到充分矩阵的扩充矩阵是充分矩阵，并讨论了Graves算法，证明了若A是双对称的P_0-矩阵时，LCP可由Graves算法给出；(2)研究了Murthy等在[6]中提出关于半正定矩阵的猜想，给出了半正定矩阵的一些充分条件，并研究了Pang~-猜想，得到了只R_0-矩阵与Q-矩阵的二个等价条件，以及E_0∩Q-矩阵的一些性质；(3)研究了Danao在[25]中提出的Danao猜想，即，若A为P_0-矩阵，则，我们给出了反例证明了此猜想当n≥4时不成立，指出了Murthy等在[20]中的一些错误，得到n=2，3时，即[25]中定理3.2中A∈P_0的条件可以去掉。

Summary: The concept of matrix and its determinant computing, matrix determinant, matrix sub-block with the elementary transformation, invertible matrix, rank of matrix; vector and its computation, the linear relationship between vector, vector group of rank; linear equations of the nature and structure of linear equations; matrix eigenvalue and eigenvector, similar to matrix and matrix diagonalization conditions, the standard quadratic form with the normal forms, quadratic and symmetric matrix There are qualitative.

内容提要：行列式矩阵的概念及其运算，方阵的行列式，矩阵的分块与初等变换，可逆矩阵，矩阵的秩；向量及其运算，向量间的线性关系，向量组的秩；线性方程组的性质与结构，线性方程组的求解；矩阵的特征值与特征向量，相似矩阵与矩阵可对角化条件，二次型的标准形与规范形，二次型和对称阵的有定性。

Molecular Distillation is a kind of high vacuum distillation method, which is suitable for the separation of high boiling, heat sensitivity and viscidity products.

分子蒸馏技术是一种在高真空条件下进行的连续蒸馏过程，适合于分离高沸点、热敏性及具有生物活性的混合物。

They are to the Noughties what yuppies were to the Eighties .

那在六十年代是时髦的，但在八十年代肯定是过时了