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。
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.
第三章利用矩阵理论与重合度理论，讨论了一类非自共轭非线性二阶差分方程周期解的存在性问题。
Chapter 3 is centered around the existence of periodical solutions for non self-adjoint nonlinear second order difference equations by invoking matrix theory and coincide degree theory.
利用量子力学中的密度矩阵算符理论导出了该系统中三次谐波产生的解析表达式。
An analytic representation for the third-harmonic generation along the well is derived by the density matrix operator theory of the quantum mechanics.
TRIZ理论在产品维修性设计中的应用采用发明原理法，即利用冲突矩阵寻找维修性。
The contrivance theory is applied in application of in design of TRIZ (theory of inventive problem solving), and the contradiction solve matrix is applied to seek the product maintenance.
利用随机矩阵理论(RMT)方法除去肺癌基因表达数据中的噪声，并将去噪后的数据分别用模块方法和等级聚类方法进行处理。
We used random matrix theory (RMT) to remove the noises in lung cancer gene expression data and used the modules approach and the hierarchical clustering approach to construct the gene networks.
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。
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.
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。
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 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.
首先，利用范数理论研究受控混沌系统的收敛性，并导出受控系统收敛的充分条件和线性反馈增益矩阵的选取原则；
Firstly, we use norm theory to research the controlled chaotic systems and lead to some sufficient conditions for system convergence and the choice of state feedback gain matrixes.
同时，利用统计和矩阵理论，证明了设计“卷积线性化”滤波器的方法。
Moreover, a method to design the filter of convolution linearization is proved by using the statistic and the matrix theories.
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。
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.
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 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。
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.
利用奇异值理论提取包含矩阵的奇异值作为气缸爆发噪声信号的特征。
Singular value is extracted as to feature of cylinder explosive noise signal from Cover Matrix with singular value theory.
采用了模糊集合理论的隶属函数方法，利用模糊矩阵运算进行推定所需煤气量。
By taking the method of membership function in fuzzy set theory, the volume of coal gas was calculated by fuzzy matrix.
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。
The mutual impedance matrix of the circular array is also studied by using network theory and MOM.
利用多镜理论以两种不同方法推导了在多腔级联法布里珀罗滤波器件中引入衰减时信号透过率的传输矩阵算法。
A matrix treatment is presented by two different methods based on multi-mirror theory to calculate the transmission characteristics of the multi-cavities Fabry-Prot filters with attenuation.
利用压缩相干态的理论和有关性质，导出了压缩相干态下谐振子任意次幂的坐标算符矩阵元的表达式，并对所求的结果进行了讨论。
Using the theoretics and properties of squeezed coherent state, the matrix elements of any power of coordinate operator for harmonic oscillator is deduced; and the result is discussed.
该文利用矩阵的初等变换解决有限维向量空间中向量组的线性性质的有关问题，并给出了这种方法的理论依据。
This paper with elementary transformation of matrix discusses some properties of a set of vectors in finite dimensional vector space and the theory basis of this method is given.
即利用矩阵分析理论中的广义逆法，完成非线性方程组的最小二乘求解过程。
The paper also proposes the relevant numerical solver. Namely, it has Solved the equations uses the generalized reciprocal method in the theory of matrix analysis.
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。
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.
利用矩阵条件数对方程求解的稳定性进行了讨论，推导出理论上的折射角和小角散射宽度的最大值。
The stability of the reconstruction procedure is discussed using the condition number of matrix, and the theoretical maxima of the refraction angle and USAXS distribution width are given.
通过对增广矩阵适当“加边”，利用矩阵的初等行变换，直接求出线性方程组的通解形式，并在理论上给予了论证。
This paper presents directly the general solution to sets of linear equations by properly bordering on augmented matrix and elementary transformation, and produeces some theoretical proving.
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 random matrix theory we find that the distribution of eigenvalues of correlation matrix of relative return also follows a power-law.
利用M矩阵理论，通过构造适当的向量李雅普诺夫函数，研究一类具有时变时间滞后的线性关联大系统的全局指数稳定性。
The global exponential stability of a class of linear interconnected large scale systems with time delays was analyzed based on M matrix theory and by constructing a vector Lyapunov function.
然后利用布洛赫理论分析了CPRW中存在的倏逝波的带结构，利用传输矩阵的方法讨论了有限周期的CPRW的透过率特性。
We analyze the band structure of evanescent wave in the CPRW by Bloch theory, and discuss the transmission properties of the CPRW with a finite number of periods by transfer matrix method.
并且利用测评矩阵、机会成本理论和配置理论，为高校人力资源的合理配置作一个有效的指导。
And use of evaluation matrix, the opportunity cost of the theory and configuration theory, human resources for colleges and universities to make a rational allocation and effective guidance.
并且利用测评矩阵、机会成本理论和配置理论，为高校人力资源的合理配置作一个有效的指导。
And use of evaluation matrix, the opportunity cost of the theory and configuration theory, human resources for colleges and universities to make a rational allocation and effective guidance.
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