查询词典 scalar matrix

In this paper, three methods for color image retrieval have been presented: hypercomplex SVD image retrieval, combination of hypercomplex convolution filter and hypercomplex SVD image retrieval and hypercomplex matrix correlation image retrieval. We made comparison among these hypercomplex-methods, and compared them with the traditional image retrieval methods. Experiment results showed that the hypercomplex-methods we presented in this paper could well conquer the problems existed in traditional image retrieval methods, and their retrieval results are much better. Meanwhile, this paper presented a new color image quality assessment based on hypercomplex SVD. It is a novel color image quality assessment that can be used as a graphical or a scalar measure to predict the distortion introduced by a wide range of noise sources. It reliably measures the distortion not only within a distortion type at different distortion levels, but also across different distortion types.

提出了超复数奇异值分解检索法，超复数卷积滤波与超复数奇异值分解相结合的检索法以及超复数矩阵相关检索法等三种超复数彩色图像检索方法，在对提出的三种算法进行比较的同时也将其与传统图像检索方法进行了比较，结果证明，超复数彩色图像检索法能较好地克服传统图像检索方法存在的问题，且检索结果更优；同时，本文提出了基于超复数奇异值分解的彩色图像质量客观评估法，这种全新的图形化与数值化相结合的方法不仅能够准确评估出彩色图像的不同失真等级，还能够区分不同的失真类型，从真正意义上实现了彩色图像的质量评估。

The data can be any of the scalar data types, however, every element of a matrix is the same data type.

数据元素能够是任何数值类型，当然，每个元素必须是相同的数据类型。

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。

A scalar matrix in which all of the diagonal elements are unity.

所有对角元素都相等的梯形矩阵。

Based on the adaxial matrix optics and scalar quantity diffraction integral theory, the principle of this system is analyzed, and optimum design of the system parameters and numerical calculations for this system are presented in detail.

应用矩阵光学、衍射积分理论，详细分析了它的工作原理，给出了系统优化设计参数和详细的数值计算结果。

Compared to the existing non fragile H ∞ control results,the approach in this paper needs not any tuning of scalar or matrix and is less conservative.

文献 [3]说明了H∞，H2 ，L2 和μ等控制器的设计方法，当控制器存在参数不确定性或摄动时，其维持闭环系统稳定的能力并不

We revisted the process B→η＇K and got the same result as the previous literature that the experient data is 2-4 times larger than the theoretical calculation We calculated the matrix element of scalar and tensor operators, which can be applied in some models beyond Stand Models, such as Minimal Super-Symmetry Models.

我们还在BBNS因子化方案下计算了某些新的算符，例如标量算符，张量算符等的强子矩阵元，这一结果可以应用到标准模型扩展如最小超对称模型中，计算新物理的贡献。

This paper focuses on four important aspects as follows. The first one is the establishment of variational quations which provides the mathematics theories for the finite element method of HMT; the second one is for the study of scalar/node and vector/edge finite element method; the third one is about how to solve faster for the large-sacled matrix system of scalar/node and vector/edge finite element; and the last one is achieving the forward modeling with high precision of HMT method.

主要包括四部分：建立与高频大地电磁法边值问题相等价的变分问题，为有限元数值计算奠定数理基础；标量/矢量有限元方法的研究；加速标量/矢量有限元矩阵系统方程迭代求解技术的研究；实现高频大地电磁参数精确快速正演模拟的研究。

The asymptotical properties of KdV equation and KP equation exhibit the soliton behavior when some conditions are satisfied, and in some cases the parameter matrices describing the interaction between two solutions is quite simple. Two kinds of solutions of the second coupled equations of AKNS hierarchy are provided and applied to NLS equation. A systemical way of construction of special solutions is also tried for DS equation. Most of the results on a scalar equation can often be directly generalized to some matrix equation, and the difference between the ω in scalar form and ω in matrix form lies only in the replacement of vector p, q by matrices p, q.

对KdV方程和KP方程渐近性质的讨论显现出解在一定条件下的孤子特性，从而使得一些情形下，同类解的相互作用体现在参数矩阵上变的较简单；我们给出了AKNS方程的两类不同解，并约化到NLS；对DS方程，我们从另一个方面初步探讨了形式化推导矩阵方程特解的方法；把这些有关标量ω的结果推广到ω为矩阵上往往只要把p，q变为矩阵即可，进而可以再推广到方程组上。

By using properties of scalar matrices over semirings,we generalize algebraic properties for the automorphisms of matrix algebras over commutative rings and obtain some algebraic properties for the automorphisms of matrix algebras over commutative semirings.

在这一章中，我们首先利用半环上常量矩阵的性质把环上矩阵代数的性质拓广到半环上，获得了交换半环上矩阵代数自同构的一些代数性质，接下来采用积和式的方法证明任意非负交换半环上n阶矩阵代数Tn的自同构的n次幂必为内自同构。

What are your goals and strategies for growth?

你的成长目标和策略是什么？

And unto the angel of the church in Sardis write; These things saith he that hath the seven irits of God, and the seven star I know thy works, that thou hast a name that thou livest, and art dead.

3：1 你要写信给撒狄教会的使者，说，那有神的七灵和七星的，说，我知道你的行为，按名你是活的，其实是死的。