查询词典 density matrix

Of the fundamental matrix in (2) satisfies the differential equation =A , it follows that the matrix = itself satisfies the matrix differential equation Because its column vectors are linearly independent, it also follows that the fundamental matrix is nonsingular, and therefore has inverse matrix .

基本矩阵的求解由于（2）中的基本矩阵的列向量满足微分方程A，进而这个矩阵本身就满足矩阵微分方程。

In chapter one,we discuss tournament matrices that can not end in tie and theyare(0,1)-matrices,we first obtain a better lower bound for the number of regulartournament matrices,then we discuss the payoff matrix of tournament matrix,obtainsome properties of positive tournament matrices,a correlation between the spectralof a tournament matrix and its payoff matrix.We find serveal conditions that areequivalaent to a tournament matrix having 1 as its a eigenvalue.

第一章讨论不允许平局的竞赛矩阵-（0，1）-矩阵，得到了正则竞赛矩阵数目的一个下界，它改进了文献〓中已有的结果；在文献〓的基础上进一步讨论了正竞赛矩阵的性质，给出了利用已知平衡向量构造新平衡向量的方法；讨论了竞赛矩阵和它的支付矩阵的特征值之间的关系；指出了文献〓中的一个错误，回答了文献〓中的一个公开问题，得到了整数1为竞赛矩阵的特征值的充要条件及这种矩阵的谱根与得分向量之间的关系。

As the widely used resin matrix and composites, two kinds of epoxy matrix and its CF/epoxy composite and GF/composite have different mechanics property under different temperature. The result shows that the thermal property of the composite mainly depends on the matrix. If the matrix can resist high temperature, its composite can also have high strength under high temperature. resin matrix composite, thermal resistance, thermal deformation coefficient, severity retentivity ratio

多年来 ，人们一直致力于耐高温复合材料的研究工作，在耐高温树脂中能经受长期高温氧化的热固性树脂只有聚酰亚胺，本文主要研究三种树脂基复合材料在不同温度下的性能，即以聚酰亚胺为基体的复合材料以及两种环氧基复合材料在不同温度的性能。2 实验2 。1 材料选择研究中所用的增强材料选用英国考陶尔兹公司T30 0型碳纤维和进口UM - 40碳纤维以及南玻院S2高强玻璃纤维

At first, the paper quote a kind of special matrix ---sign symmetric matrix , anti sign symmetric matrix , weakly sign symmetric matrix and introduced some important results in spectral property about them from some bibliographies. And then, the paper extended the formerly results and gave more general conclusions about spectral property of sign symmetric matrix.

本文首先引入了一类特殊矩阵的概念——符号对称矩阵，反符号对称矩阵以及弱符号对称矩阵，在相关文献中对这类矩阵谱特征的已经有了一些结论，本文在前人研究的基础上将相关结论做了进一步的推广，得出了有关这类符号对称矩阵谱特征的更一般性的结论。

Our results improve the former results. For periodic Jacobi matrix, some new spectral properties of periodic Jacobi matrix are given by studying the relationship of the eigenvalues of periodic Jacobi matrix and its n—1 principal submatrix. Applying these spectral properties, we present a necessary and sufficient condition for the solvability of an inverse problem of periodic Jacobi matrices and discuss the number and the relationship of its solutions. Furthermore, we propose a new algorithm to construct its solution and compare it with the former algorithms. As this inverse problem of periodic Jacobi matrix usually has multiple solutions as many other eigenvalue inverse problems, we study the uniqueness of this problem. And a necessary and sufficient condition is given to ensure its uniqueness, under which an algorithm is presented and the stability analysis is also given. Finally, we put forward a new inverse problem for periodic Jacobi matrix which has not been solved.

对周期Jacobi矩阵特征值反问题，通过研究周期Jacobi矩阵与其n-1阶主子阵特征值的关系，给出了周期Jacobi矩阵的一些新的谱性质；利用这些谱性质，研究了一类周期Jacobi矩阵特征值反问题，用新的方法推导出了该类特征值反问题有解的充分必要条件，并讨论了解的个数以及解与解之间的关系；此外，提出了一种新的构造周期Jacobi矩阵反问题解的数值算法，并与前人的算法做了一定比较；由于周期Jacobi矩阵特征值反问题和其他很多特征值反问题一样往往存在多个解，本论文给出了周期Jacobi矩阵反问题解唯一的充要条件，并发现周期Jacobi矩阵特征值反问题的解唯一当且仅当构造的矩阵满足一定的条件；在解唯一的情况下，给出了构造唯一解的数值算法，并做了相应的稳定性分析；最后，提出了一类新的有待于解决的周期Jacobi矩阵特征值反问题。

In many practice problems such as to know the resonnance frequency of a structure and to know the critical value for the stability of a dynamical system,often need to compute the eigenvalues of a symmetric matrix. The chief method to compute the eigenvalues of a symmetric matrix is first to transformate the matrix to a symmetric tridiagonal matrix similarly and orthogonally, then to use the QR method with shift to the symmetric tridiagonal matrix.

很多实际问题，如求结构振动的固有频率，动力系统稳定性的临界值等常常归结为计算对称矩阵的特征值，而首选的计算方法是先把该矩阵正交相似变换成一个对称三对角矩阵，再对这个对称三对角矩阵用带位移的QR方法。1968年J.H。

The high cationic charge density on the nanosphere surface is created by incorporating a cationic conditioning agent into the solid hydrophobic matrix of the nanospheres, by incorporating a cationic charge 'booster' in the moisture sensitive microsphere matrix, or by using a cationic conditioning agent in the nanosphere matrix in conjunction with a cationic charge 'booster' in the microsphere matrix.

通过将阳离子带电&助剂&引入到水分敏感性微球基质中，或通过将纳米球基质中的阳离子调理剂和微球基质中的阳离子带电&助剂&联用，将阳离子调理剂引入到纳米球的疏水性基质中产生纳米球表面的高阳离子密度。

The structure of uncured mix and vulcanite, physical and chemical interaction between filler and matrix, mechanical property of composites were investigated It was found and explained that the compact relationship among bound rubber, cross-linkage density and physical property in mineral filler/silicone rubber composite In detail, BR〓, D〓(cross-linkage density using basic solvent as swell liquid) and module have direct relationship, because they all show chemical interaction between filler and matrix from different angles, respectively BR〓(bound rubber in toluene solvent), D〓(cross-linkage density using toluene solvent as swell liquid) and tensile strength have compact relationship also, because they all show total interaction from different angles, respectively

研究了未硫化胶和硫化胶的结构、填料与基体的物理化学作用、及这些结构和作用的表现形式，发现和解释矿物填料/硅橡胶复合材料中结合橡胶、交联密度与复合材料的力学性能密切关系。具体说，BR〓、D〓和弹性模量均从某个侧面反映复合材料中填料与基体间的化学作用，三者的关系比较密切：BR〓、D〓和抗拉强度均反映复合材料中填料与基体间总体相互作用，三者的关系比较密切。

Comparison the in vivo activity of 90％EtOH fraction and compound 21 with estradiol, indicated the 90％EtOH fraction behaved the stronger activity on total mineral content, total density, trabecular mineral content, trabecular density and the anti-twist strength of the proximal tibia in OVX rat than estradiol, but compound 21 displayed the weaker activity on total mineral content, total mineral density, trabecular mineral density, cortical mineral content, cortical mineral density, cortical thickness and the anti-twist strength of the proximal tibia than estradiol.

通过90％乙醇部位及化合物21都与阳性对照药雌二醇的纵向比较后，在大鼠OVX模型中，90％乙醇部位高剂量组在提高全骨的骨矿含量和骨密度、松质骨的骨矿含量和骨密度及骨的抗扭力方面，作用强于阳性对照组雌激素类化合物，化合物21在小鼠OVX模型中，抑制了全骨的骨矿含量、骨密度和全骨断面面积的降低，松质骨骨密度的降低，皮质骨的外膜周长的增长，皮质骨骨矿含量量、皮质骨厚度和皮质骨密度的下降及抗扭力的减弱。

The results show that there is a linear correlation between magnetic susceptibility and density. Take 1.6 g/cm^3 as a boundary value, the magnetism of high density coal and low density coal was opposite. The diamagnetism property of low density coal weakens and the paramagnetism of high density coal enhances along with the size reduction of fine coal. The magnetic field intensity influences the magnetism of coal.

研究表明：比磁化率同密度间存在线性相关关系，以1.6 g/立方公分为界，高、低密度级煤分别呈顺磁性和逆磁性，且随煤粉粒度的减小，低密度级煤的逆磁性减弱，而高密度级煤的顺磁性增强；磁场强度对煤的磁性有一定影响。

In contrast to the ubiquitous rising-sun-with-rays military flag of the Japanese, Chinese banners and ensigns feature a range of designs.

与遍地都是的太阳军旗不同，中国人的旗帜和徽章设计得各式各样。

From their small corner of Feng's Guangzhou headquarters -- a jumble of pink leashes, squeezable rubber steaks, and plastic doggy Santas for Fido's stocking -- Soleil's designers come up with at least five new products a month.

从Feng 设在广州总部的产品展示柜台上可以看到，Soleil的设计师每月至少设计出5件新产品。