Using matrix theory, we present a sharp upper bound on the spectral radius of digraphs and strongly connected diagraphs.
首先，我们给出一些图的邻接谱半径的一些新的可达上界，并说明这些新结果在一定情形下比已有的结果要好。
This paper defined the matrix of fuzzy characteristics of sonar images based on the theory of fuzzing mathematics, and enhanced the image by using the sine fuzzy function.
本文基于模糊数学理论，建立了水声图像的模糊特征矩阵，并采用正弦模糊分布函数对真实的水声图像进行了增强处理。
By using transfer matrix method of multibody system and launch dynamics theory, the relations between the firing orders and performance of MLRS were established.
应用多体系统传递矩阵法和发射动力学理论，建立了多管火箭武器射击顺序与多管火箭武器系统性能之间的定量关系。
The transfer function of the power line networks is figured out using the multi-path model, the transmission matrix model and the multi conductor theory.
应用多径传输模型，传输矩阵模型以及多导体传输线理论导出了室内电力线网络和室外配电网络的传递函数。
Third, using BCG matrix, SWOT and value chain theory to study the advantage in competition for GD Telecom, and discuss how to use this advantage to develop mobile communication service.
然后，运用BCG矩阵、SWOT及价值链等工具，详细分析了广东电信的竞争优势，并重点研究利用竞争优势拓展移动业务的策略。
Using the matrix theory, we derived the modal matrices of some parameter matrices in transformation, and discussed the transformation with principle of power invariance also.
用矩阵理论求出几种形式的参数矩阵变换时的模态矩阵，并讨论了功率不变原则下的变换。
Using robust property of matrix norms and DWT for low frequency component, a new lossless watermarking method with low computational complexity via the theory and property and wavelet is proposed.
利用延拓矩阵范数的理论与性质，并结合矩阵范数与图像小波变换低频分量稳健性的特点，提出了一种低复杂度的无损水印方案。
A new method for human face image scale and direction estimation is proposed using covariance matrix eigenvalue and eigenvector of edge set, which is proved by theory and experiments.
提出了利用边缘点集的协方差矩阵的特征值与特征矢量作为人脸图像尺度与方向的粗估计方法，从理论和实验上证明了该方法的可行性。
Then the design of the unknown matrices of the functional observer is converted to the design of a parameter matrix using the theory of generalized inverse.
利用广义逆矩阵理论，将观测器的参数设计问题转化为求解一个参数矩阵的问题上来。
Using the theory of generalized inverse matrix, a perfect algorithm of recurrence for least square has been derived. And from this algorithm, some corollaries of great significance were obtained.
利用广义逆矩阵的理论，本文给出了完整的最小二乘递推算法，并由此得到若干很有意义的推论。
Using attribute recognition theory and according to the measurement attribute of objective data in power quality indices, the index measurement evaluation matrix (MEM) is built.
利用属性识别理论，根据电能质量指标客观数据的测度属性建立指标测度评价矩阵。
According this, the method that can reproduce the topology structure of the object network by using figure theory and adjacency matrix was discussed.
据此，提出用图论和矩阵重现目标网络拓扑结构的邻接矩阵法。
Also, it sets up the model of measuring interface effectiveness by using harmony analysis matrix and harmony theory.
以此为基础，运用和谐理论的和谐分析矩阵建立了界面有效性的测度模型。
Using the density matrix theory describes the absorption and dispersion properties of the detecting light.
用密度矩阵理论描述了系统对探测光的吸收和色散性质。
In this paper, some properties of automorphisms of classical Lie algebras was given first and then a classification of conjugacy automorphisms using only the matrix theory was presented.
首先给出了典型李代数自同构的一些性质，接着用矩阵的形式具体给出典型李代数自同构共轭的充要条件，并计算了任意阶自同构的不动点集。
An analytical method to find correspondence matrix for basic vector transformation is given by using elementary theory of numbers.
本文用欧几里得算法，给出求解基矢变换对应矩阵的解析表达式。
On the other hand, it also derives the covariance propagation formula of non-linear function containing quadratic term in matrix form using the matrix theory etc.
另一方面又利用矩阵理论等推导出含有二次项的非线性函数的协方差传播公式的矩阵形式。
By using random matrix theory we find that the distribution of eigenvalues of correlation matrix of relative return also follows a power-law.
利用随机矩阵理论我们发现相对收益的关联矩阵的特征值分布也具有幂律的特征。
By using the theory of optical propagation matrix, a simplified model that is equivalent to a mechanical Q-switched CO_2 laser is carried out.
运用光学传播矩阵理论，给出了一个机械调q二氧化碳激光器谐振腔的等效简化模型。
By using the contain theory and partition theorem of symmetric matrix, three conjectures about YANG Hui matrix are cetified.
它使用了对称矩阵特征根的包含原理和分隔定理，并利用了正矩阵特征根的性质。
Based on the theory, the coupling matrix was verified using MATLAB.
依此理论基础，利用MATLAB对所求耦合矩阵进行了分析验证。
The effects of atomic coherence on fiber amplifiers pumped by two lasers with different frequences are studied by using density matrix theory.
用密度矩阵的方法从理论上分析了不同频率的两个激光场混合泵浦的光纤放大器中，由光场诱导的原子相干效应。
Decentralized control of region for nonlinear composite systems with input saturation is studied by using Lyapunov's theory and matrix norm properties.
利用李雅普·诺夫方法和矩阵范数性质研究了具有饱和输入的非线性组合系统区域分散控制问题。
The main work of this dissertation focuses on the analysis and design theory for a resonator with diffraction optical elements by using a matrix eigenvalue method.
本文的重点是：阐述了利用矩阵本征值方法分析和设计激光谐振腔的系统理论；
The effects of strain rate on the matrix and precipitate phases of Ni-base superalloy have been analyzed using the theory.
结果表明，镍基单晶基体相和强化相均表现出明显的率相关性。
By using the continuation theorem of topology degree theory and properties of nonsingular M-matrix, we obtain sufficient conditions for the existence of positive periodic solutions of this system.
利用拓扑度理论中的连续定理以及M -矩阵的性质获得了该系统正周期解存在的充分条件。
The problem of stability in the numerical integration schemes of nonlinear dynamic analysis of structures is discussed by using matrix and norm theory on a rigorous and complete basis in this paper.
本文在严格、完整的基础上，利用矩阵范数理论研究了结构非线性动力分析中数值积分格式的稳定性问题，给出了判别单自由度非线性动力方程积分格式稳定性的一般数学准则。
By using the graph theory and the method of data transformation, a series of connectivity matrixes and loop matrixes are derived from the basic relation matrix-the matrix KL.
应用图论理论和数据转换方法，通过基本关系矩阵———KL矩阵派生一系列的衔接矩阵和回路矩阵。
We also discuss the effect of GDOP with the number of satellites. It is also proved in theory that the lowest GDOP using the matrix theory.
讨论了卫星数量对GDOP的影响，并用矩阵理论对其最小值进行证明。
The mutual impedance matrix of the circular array is also studied by using network theory and MOM.
利用网络理论和矩量法对圆阵互阻抗矩阵的计算进行了研究。
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