查询词典 matrices

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。

Obtaining the displacement of vibration, the velocity and acceleration are directly computed by differentiation matrices. The period of nonlinear vibration is computed by barycentric Lagrange interpolation collocation method.

计算得到振动位移后，采用微分矩阵和重心Lagrange插值计算非线性振动的速度、加速度和振动周期。

In most of what follows, I'll be concentrating on pure Matrices (and in the case of the Matrix depicted, on the condition of the benighted).

让我们规定在纯Matrix中，每个人都是愚昧的，认为这是个"真实世界"。

In this thesis,using the Bernstein polynomial approximation,Stieltjes transform method and the central limit theorem of martingale,under suitable moment conditions,we prove the CLT of LSS G_n with a generalized regular class C4 of the kernel functions for large dimensional sample covariance matrices.

在适当的矩条件下，当核函数f属于C4时，我们证明了大维随机协方差矩阵的线性谱统计量的中心极限定理。

The new problems and challenges appearing in the nonlinear applicationes are solved, which makes subspace identification more applicable to the modeling and control of industrial process. With regards to bilinear system, a major drawback is that the subspace identification methods induce enormous dimension of the data matrices, which grows exponentially with the increase of the model order.

针对两类特殊的非线性系统，双线性系统和分段线性系统，从子空间辨识的设计与实现出发，提出新的辨识算法，解决子空间方法应用于非线性系统辨识遇到的新问题，使得子空间方法在工业过程的辨识与建模中具有更强的实用性。

Researches reveal that students who suffer from corporal punishment tend to resort to violence in their future life.

研究表明遭受过肉体惩罚的孩子倾向于在他们今后的人生中使用暴力。

Total sugar of sarcocarp and chlorophyll of pericarp increased firstly, and then decreased afterward along with altitude; Titratable acidity, ascorbicacid and anthocyanin of pericarp were increased along with altitude; The content of protein increased firstly and decreased afterward along with altitude; Carotenoid of pericarp were decreased along with altitude.

果肉总糖和果皮叶绿素含量随海拔高度升高先升高后降低；可滴定酸、维生素C和果皮花青苷含量均随海拔升高而升高；蛋白质在1720m处最大，1420m处最小；果皮类胡萝卜素随海拔升高而降低。