查询词典 density matrix

On the basis of the definition of matrix traces , this paper discusses their characteristics at first and then according to the norm of the F of square matrix and Cauchy-Schwarz inequality gives how to prove the zero matrix, unsimilar matrix, number cloth matrix, column matrix idempotent matrix and non-equality matrix.

根据矩阵迹的定义，首先给出了矩阵迹的性质，然后依据方阵的F—范数定义Cauchy—Schwarz不等式，给出了零矩阵，不相似矩阵，数幂矩阵，列矩阵，幂等矩阵及矩阵不等式的证法。

Bamboo variation ofmicrodensity of all age-degree and all height bamboo from bamboo green tobamboo yellow as follows:The downtrend ladder of microdensity the firststage from bamboo green to bamboo yellow is relatively large,normally at theplace 0.35 from bamboo hull(the thickness of from bamboo hull to bambooyellow is 1)micro-density downtrend ladder begin to get smaller,variancerange of microdensity is smaller.When reaching near bamboo yellow area,microdensity reaches its minimum value,and when reaching bamboo yellowsection density increase rapidly,the minimum density of bamboo is only 50% orless of maximum density.Bamboo yellow is comprised of stone cells whichhave thick cell wall,so its density is high,normally 50% to 100% more thanminimum density.Bamboo yellow′s lay thickness is thin,normally the samethickness for all age-degree and all height bamboo,about 0.8mm.From 1 age-degree bamboo to 2 age-degree bamboo during growth,the increase of averagedensity is mainly in bamboo pulp section,from 3 age-degree bamboo to 4 age-degree bamboo,the decrease of average density is mainly decrease in the pulpsection.Same age,same height,the less the density ladder of bamboo radialthickness,the higher the mechanical strength.

所有年龄所有高度的竹材微密度从竹青到竹黄对材性变异规律如下：从竹青到竹黄开始下降梯度较大，一般到相对竹皮距离0.35左右处(整个竹壁厚度为1)，竹材微密度下降梯度减小，微密度的变化范围变小，到近竹黄处，微密度达最小值，而后到竹黄部位密度大幅上升，竹材最小密度一般只有最大密度的50％或更低，竹黄由厚壁的石细胞组成，所以密度较大，一般比最小密度增大约50％-100％，厚度较薄，不同年龄不同高度竹材的竹黄厚度相差无几，约在0.8mm左右；竹材从1度竹到2度竹生长过程中，平均密度的增长主要发生在竹肉部分，从3度竹到4度竹生长过程中，平均密度的下降主要发生在竹肉部分，同一年龄同一高度，竹壁厚径向的密度梯度越小，力学强度越高，随着年龄的增大，密度梯度越来越小(1度竹除外)，随着高度增加，密度梯度越来越大。

Computing inverse matrix, a unit entrainment in the matrix behind the matrix, and then in front of it is processed into a matrix, diagonal matrix, the latter matrix that is the inverse matrix.

详细说明：计算逆矩阵，在矩阵后面夹带一个单位矩阵，然后把前面那一个矩阵处理成对角线单位矩阵，后面的那个矩阵就是逆矩阵。

It was found that 0.25%o potassium sorbate produced a positive inhibition against short G+ spore bacillus with a concentration less than 5xl04cfu/ml. A concentration less than %o potassium sorbate hardly exerted a complete control towards short G- plump bacillus having a population density of 5x104cfu/ml. It was proved that use of l% potassium sorbute never controlled the growth of G+ coccus, G~ spirilla and enterobacter with a population density of 104cfu/ml. 1mmol EDTA completely controlled the growth of G+ short spore bacillus and G+ coccus whose cell density was 5xl04cfu/ml. A level of lmmol EDTA showed a limited inhibition against the growth of G- spirilla with a population density of 105 cfu/ml. However, a level of 10mmol EDTA completely controlled the growth of the G- spiral bacteria having a population density of 105cfu/ml. lOmmol EDTA produced a very significant control towards the growth of G"" plump short bacillus with 105cfu/ml. 20mmol EDTA showed a remarkable inhibition against the enterobacter with a population density of 105cfu/ml. Different concentrations of nisin including 25mg/mL, 50mg/mL, 75mg/mL and 100mg/mL were used as bio-preservative to examine its effects against the growth of all strains leading to the spoilage of fresh mutton meat. It was seen that there was a big difference in nisin's concentrations in inhibiting the spoiling bacteria. Generally speaking, as more as 75mg/mL of nisin significantly inhibited the growth of G+ short spore bacillus, G-plump short bacillus, enterobacter, G'spiral bacteria and G+ coccus having a population density of 105cfu/ml.

分别运用山梨酸钾、EDTA和Nisin对7种主要引起羊肉腐败的微生物进行了抑菌实验，结果显示，0.25‰以上山梨酸钾能够有效抑制5×10~4 cfu／mL以下的革兰氏阳性短芽孢杆菌的生长；1‰以下的山梨酸钾不能完全抑制5×10~4 cfu／mL革兰氏阴性粗短杆菌的生长，对10~4 cfu／mL革兰氏阳性球菌菌株、革兰氏阴性螺旋菌菌株和肠杆菌菌株抑制效果不太明显。1mmoL EDTA能完全抑制住小于10~5 cfu／mL革兰氏阳性短芽孢杆菌菌株、革兰氏阳性球菌菌株的生长，能明显的抑制10~5 cfu／mL的革兰氏阴性粗短杆菌菌株生长，对10~5 cfu／mL的革兰氏阴性螺旋菌菌株有一定的抑制作用。10mmoL EDTA能完全抑制住10~5 cfu／mL革兰氏阴性螺旋菌菌株的生长；能明显抑制10~5 cfu／mL的革兰氏阴性粗短杆菌菌株的生长，而20 mmoL EDTA能很明显抑制10~5 cfu／mL肠杆菌菌株的生长。25mg／mL、50 mg／mL、75 mg／mL和100 mg／mL的Nisin几乎对所有引起羊肉的腐败菌有抑制作用，但抑制程度不同，抑菌活性有一定的变化。

The algorithm uses the wavelet decomposition and reconstruction in multi-resolution editing B-spline curves and transforms a zonal matrix or sparse matrix to a row simplified matrix using the properties of the augmented matrix of the system of linear equations,which is a zonal matrix or sparse matrix,by elementary row operation.

该算法利用方程组的增广矩阵为类带状矩阵或者稀疏矩阵这一特点，运用简单的矩阵的行初等变换，将类带状矩阵或者稀疏矩阵化成容易接受的行简化矩阵，解方程组，使小波分解与重构的过程快速准确，使从事相关工作的技术人员更容易理解和接受。

In chapter three, at first we introduces two kinds locally double αdiagonally dominant matrix from the concept of αdiagonally dominant matrix, by using this conception and the properties of αdiagonally dominant matrix and the techniques of inequalities, we discuss the relation of locally double αdiagonally dominant matrix and generalized strictly diagonally dominant matrix, according to these relations we obtain some effective criteria for generalized strictly diagonally dominant matrix.

在第三章中，首先由α-对角占优矩阵的定义，引进了两类局部双α对角占优矩阵，并利用它们及α-对角占优矩阵的性质，结合放缩不等式的技巧，讨论了局部双α对角占优矩阵与广义严格对角占优矩阵的关系，并由此得到判定广义严格对角占优矩阵的几个实用准则。

In the research to demand of International reserves,first, according to the affective character of demand to transition of International reserves, choosing the decision theory of Markov and dynamic transition equation as basic model, the paper has set up two transition methods--- stationary matrix and dynamic matrix, the later matrix has improved the sensitive reaction to time and velocity. Second, combining with knowledge of linear algebra, the paper has analyzed and testified the positive associated relation between transition matrix elements on main diagonal and the convergent speed of system, and explained why international reserves transition embodies the character under new situation and why the transition process can be accelerated by the strike of international idle money. Third,on the quantitative calculating to elements of transition matrix,referring to multiplication theory and decomposing-composing method of system, the paper has transformed main three-factor deciding confidence of international monetary into detail modulus by comparing analysis measure,now the matrix has been decided.

在国际储备的需求分析研究中，本文首先选择马尔可夫转移方程作为基础模型，根据需求对外汇储备结构的影响特点，提出非定常转移矩阵变换方法，拓展了马尔可夫变换对时间和速度的敏感性；结合线性代数知识，分析证明了定常转移矩阵的主对角线元素值的大小与系统的收敛速度的正向关联关系，并利用结论解释了国际货币新动向下外汇储备转换表现出的趋势特点以及国际游资冲击对国际货币结构变化的加速影响；在转移矩阵元素的量化计算上，本文参考乘数理论和系统分解合成原理，采用对比分析方法把影响国际货币信心的三大要素综合量化为转移偏好系数，然后根据转移偏好系数确定转移矩阵的元素值，其中还分别具体给出了定常转移矩阵和非定常转移矩阵的计算方法及在变换中的使用方法，从而不仅在定量分析上应证了定性分析结论，而且反映了随时间变化的美圆、欧元、日圆的比例结构均衡过程。

This project studies the scale-dependent deformation behavior of the metal matrix composite, the void nucleation and void growth mechanisms at the micron/submicron scale. The main results are:(1) In prophase, growth and coalescence of the void embedded in the graded matrix are analyzed in detailed;(2) Based on the infinite solid model containing a micro-void, coupling effects of the void shape and the void size on the void growth are studied carefully, the results show that it seems to exist a critical equivalent void radius, which is associated with the material length. When radius of a microvoid is close to or smaller than the critical void radius, the micro-void growth rate is essentially eliminated;(3) The coupling effects of the particle shape and size on the mesoscopic stress fields within the particle and matrix are also investigated by introducing the conception of inclusion/matrix interfacial energy. The results show that the stress concentration factors within the particle and on the matrix/particle interface are also strongly size-dependent,so the void nucleation mechanism is size-dependent.(4) By employing a specific orthogonal curve coordinate frame and a 'kernel function' conception, a 'unified method'solving the spheriodal and spherical void problems is suggested; by this unified method, size-dependent plastic potentials of the porous materials containing the spheriodal or spherical voids are obtained, which extend the traditional Gurson model for the spherical void and GLD model for the spheriodal voids to the micron scale.(5) Based on the RVE model containing the spheriodal or spherical particles, the influences of the particle shape and size on the size-dependent mechanical behavior of metal matrix composite are studied.

中文摘要：本项目对金属基复合材料在微细观尺度下的尺度相关变形行为、孔洞形核及长大的机理和模型进行了研究，取得了如下主要结果：1）在前期研究中，探讨了基体的梯度分布对孔洞长大和聚合的影响；2）基于含孔洞的无限大体模型，探讨了孔洞形状和孔洞尺寸对其长大的耦合作用，结果表明：可能存在一个与材料特征长度相关的临界孔洞尺寸，当椭球孔洞的等效半径小于临界孔洞半径时，孔洞的长大受到明显抑制；3）通过引入基体/夹杂界面能的概念，分析了夹杂尺寸、夹杂形状对材料细观应力场的耦合影响，结果表明：颗粒内部和界面上的应力集中因子强烈地依赖于夹杂的尺寸和形状，因此，孔洞的形核机理是尺寸相关的；4）采用一种特殊的正交曲线坐标系和引入"核函数"的概念，"统一"地得到了含椭球和球形孔洞的材料的尺寸相关塑性势，它将传统的Gurson球形孔洞模型和GLD椭球孔洞模型推广到微尺度范围；5）基于含椭球和球形夹杂的体胞模型，初步研究了夹杂形状、夹杂尺寸对金属基复合材料尺寸相关力学行为的影响。

Missirlis in article [1]. At the same time, a sufficient condition for convergence of the PSD method is given to be compared when the coefficient matrix A of the linear system Ax = b is a symmetric, positively defective matrix. In §3.2, an example is given to state that the range of our sufficient condition is wider than theorem 3.3 of article [1]. On the other hand, following a.n analogous approach of [14] and starting the functional relationshipwe have a perfect analysis for the PSD method to converge and optimum valves for the involved parameters under different conditions.Under the assumptions that A is a consistent ordered matrix with nonvanishing diagonal elements and the eigenvalues of the Jacobi matrix of A are real,we get necessary and sufficient conditions for the PSD method to convergence.The result is equal to theorem 1 of article [9].Under the same condition, we can see the optimal parameter and of corresponding spectral radius of thePSD method in [8]:(2)When A is a consistent ordered matrix with nonvanishing diagonal elements and the eigenvalues of the Jacobi matrix of A are imaginary or zero,we get necessary and sufficient conditions for the PSD method to convergence.In chapter 3, the optimal parameter and of corresponding spectral radius of the PSD method are given by table 3.3. Moreover, under the assumption 0

Missirlis在文献[1]中定理3.3的不准确，同时给出了当线性方程组Ax=b的系数矩阵A为对称正定阵时，PSD迭代法收敛的一个充分条件与之比较，并且在§2.3中用实例说明了对于一部分矩阵而言本文得到的充分条件广于[1]中定理3.3的充分条件；另一方面，按照文献[14]的方法，我们从PSD迭代法的特征值λ与其Jacobi迭代矩阵B的特征值μ的关系式：出发，在不同条件下对PSD迭代法的收敛性和最优参数以及最优谱半径进行了完整的分析：(1)在系数矩阵A为(1，1)相容次序矩阵且对角元全不为零，其Jacobi迭代矩阵B的特征值全为实数的条件下，给出了PSD迭代法收敛的充分必要条件，此结果与[9]中的定理1等价，此时最优参数及最优谱半径由[8]得：(2)第三章表3.3中给出了，当系数矩阵A为(1，1)相容次序矩阵且对角元全不为零，其Jacobi迭代矩阵B的特征值全为纯虚数或零时的PSD迭代法的收敛范围和最优参数，并且我们可以得到当0

The method for constructing LDPCC code includes encoder and decoder. Operational steps include as following: determining parameters of checkout matrix HQT of group code of permutation unit matrix LDPC; constructing checkout matrix HQT of group code of permutation unit matrix LDPC; constructing checkout polynomial matrix HT of LDPCC code; exporting generated matrix G of LDPCC code.

一种LDPCC码的构造方法，包括编、译码器，运行的步骤包括：初始化的步骤；确定一个置换单位矩阵LDPC分组码的校验阵HQT的参数的步骤；构造置换单位矩阵LDPC码校验阵HQT的步骤；构造LDPCC码的校验多项式矩阵HT的步骤；导出LDPCC码的生成矩阵G的步骤。

Putt your way through 36 fun-filled holes of minigolf on 3D designed courses with elevated greens, bunkers, bridges and water hazards, among other crazy obstacles.

您的推杆方式，通过36个有趣的填孔迷你的三维设计的课程，以提升绿党，掩体，桥梁和水的危害，除其他疯狂的障碍。

Some participles can be used either as attributes or as predicatives.

有些分词既可当定语用，也可当表语用。