查询词典 matrices

The structrual characterizations of symmetric arrowhead matrices are discussed and the general expressions of solutions are obtained.

并且还讨论了相应的最佳逼近问题，给出了最佳逼近解的表达式及求解的数值算法和算例。

This combination process is called the assemblage of stiffness matrices.

这种组合的过程称为刚度矩阵的装配。

A section of assembly language program, This program can really between the two matrices are multiplied.

详细说明：汇编语言的一段程序，此段程序可以实两个现矩阵之间的相乘。

To avoid or reduce re-analysis, we derived the augmentative matrix variation only in summation of the previous matrices time the outside-perturbed parameters by decomposing the element stiffness and mass matrix. The implicit function of amplitude about design variables such as cross-areas and lengths is changed into simplistic function about the perturbed parameters of design variables. Several methods for determining the value of perturbed parameters are detailed.

为避免或减少重分析，将有限元单元阵进行了分解变换组装，使振幅与设计变量如截面面积、长度的复杂隐函数关系转化为对设计变量摄动参数的显式关系，进而将设计变量摄动参数提取在分解后的几个常数刚度阵、质量阵之外，避免了在迭代求解过程中重组刚度阵与质量阵，较快地获得问题的解。

It has been shown that any 3×3 ABCDEF augmented matrix,which describes a misalighed optical system,can be represented by an ordered product of basic matrices of , and types.

Casperson[1] 首先研究了描述轴对称光学系统 2× 2矩阵的分解及系统的合成问题。对于实际光学系统，例如谐振腔，由于安装和调整误差、光学系统工作时外界环境产生的微扰、变形而产生失调。

In this work, the interaction between umbelliferone and bovine serum albumin was studied by performing two different kinds of titration modes. The two spectroscopic data matrices were augmented, and then the information of experiment data was increased. The augmented experiment data matrix was analyzed by the MCR-ALS method. This procedure allowed the recovery of the concentration profiles for each species and the calculation of the ∶ ratio in the complex and the apparent equilibrium constant.

采用两种不同的试剂滴加模式对伞形花内酯与BSA的相互作用进行研究，对经典的荧光光谱数据矩阵加以扩展，增加了实验数据的信息量；进而应用MCR-ALS对该扩展的荧光光谱矩阵进行迭代计算，较好地分辨出作用过程中浓度变化趋势图，并计算出伞形花内酯与BSA的表观结合常数和结合比。

Considering the numerically more stable properties of Normal Equation with Constraints and Hachtel's augmented matrix method for SE, all telemetered and virtual measurements are classified reasonably. Using blocked and sparse matrices technology, a new SE algorithm with computing speediness and numerical stability is proposed.

借鉴WLS估计中带等式约束的正规方程法和Hachtel法数值稳定性更强的优点，将遥测量和虚拟量测合理分类，并采用分块和稀疏矩阵技术形成了一种计算速度快、数值稳定性好的状态估计改进算法。

1、The Entropy、Smoothness、Uniformity and Relation (base on co-occurrence)are significantly difference between the patients and volunteers(p.05).2、The Contrast (base on co-occurrence matrices) and Distance (based on autocovariance coefficients) tend to be higher volunteers, but not reaching statistical significance.3、Among all the thirty-nine features, the most significant difference was obtained using Relation with the pixel distance varied from 1 to 3 pixels.

本实验使用纹理分析的方法研究正常膀胱壁组织和膀胱赘生物组织的纹理特征，并筛选出四种存在显著统计学差异的纹理特征，为后续利用纹理特征研究膀胱肿瘤浸润肌层深度提供了依据。另外，如前所述，目前膀胱肿瘤的诊断主要依靠膀胱镜，但作为一种侵入性操作，膀胱镜并不适合人群疾病普查和患者的治疗后随访。

The main theory results includes:(1) Using the properties of Hilbert transform, perfectly reconstruction and new type of lifting scheme, a new type of dual-tree binary coefficients complex wavelet with linear phase is achieved.(2) For linear systems that can be diagonalized by GFT and DST-II matrices, an efficient MGM method is proposed, convergence is proved.(3) We discuss the algebraic structure when Toeplitz matrix is transformed by multi-band wavelet,show that Toeplitz matrix is composed of generating function is transformed to a band and sparse matrix when wavelet applied to this matrix, based on the above results, an efficient solution of Toeplitz equations is obtained, and the computational complex is O,where N is the order of matrix.

理论成果主要包括：(1)对于对偶树二进制系数复数小波，利用Hilbert变换对性质、完全重构条件并结合新的提升格式构造研究了含参系数多进制小波构造方法，作为特例得到具有线性相位的对偶树二进制系数复数小波构造方法；(2)对于广义离散傅立叶变换与正弦变换对角化系统，提出了高效、快速的多重网格算法，理论上证明了算法的收敛性；(3)研究了Toeplitz矩阵在多进制小波变换下的代数结构，验证了多项式生成函数构成的Toeplitz系统在小波变换下的稀疏带宽性质，从而建立基于小波变换求解Toeplitz系统的快速求解方法，运算量级控制在O，其中N为系统的阶。

Differential matrices are obtained on the element in accordance with continuous intervals of discontinuous boundary value problem to divide the computing elements and approximating unknown function on the element in term of barycentric Lagrange interpolation.

按照间断边值问题的连续区间划分计算单元，在每一个单元上采用重心Lagrange插值近似未知函数，得到每一个单元上的微分矩阵。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。