基于广义定位原理及分解重构等理论，构造了产品自动化设计理论模型，并进行了软件系统的实现。
Based the generalized locating principle and the decomposition and reconstruction principle, the theoretical model of product design automation is developed and the software system also achieved.
最后，给出了广义模糊粗糙近似算子的分解与合成定理。
At last, we we prove the decomposition and synthetize theorems of general fuzzy rough approximation operator.
用矩阵的奇异值分解和广义逆讨论标准线性规划问题解的存在性和唯一性问题。
Apply singular value decomposition and generalize inverse of the matrix to discuss the existence and uniqueness of the solution of the standard linear programming problem.
本文提出了一种新的无约束损失函数用于广义特征分解，并且分析了损失函数的特性。
In this paper, a novel unconstrained cost function for the generalized eigen-decomposition is presented and the properties of the cost function are analyzed.
本文将应用广义限制李代数的概念来研究具有三角分解李代数的积分元和中心扩张的关系。
In this paper, we apply the concept of the generalized restricted Lie algebra to study the relation of the integral and central extensions of a Lie algebra with a triangular decomposition.
本文主要研究有关矩阵的加权广义逆，加权极分解和矩阵偏序等方面的问题。
In this thesis, we mainly study problems on weighted generalized inverses, weighted polar decomposition, and partial orderings of matrices.
提出了一个包括界面条件及间断面条件在内的混合边值问题的广义变分原理，建立了极限载荷乘子的变分解析公式。
A generalized variational principle involving conditions of the rigid-plastic interface and the discontinuous surface of a velocity field has been put forward for the mixed-boundary value problem.
广义的范畴，就像它是利益相关者在理想的工艺流程，分解为一个截然不同的指挥体系。
The generalized category stakeholder, like it is used in the ideal process flow, is broken down to form a distinct command structure.
本文研究极分解和广义极分解。
This paper concerns the polar decomposition and generalized polar decomposition.
作为应用之一，在合理定义了广义矢值测度后，得到了约当分解定理，并且这种广义矢值测度就是一个模糊数值测度。
As one of applications, the Jordan decomposition theorem of a properly defined signed vector-valued measure is obtained, and the signed vector-valued measure is just a fuzzy number-valued measure.
利用矩阵分解和系统变换的技巧，得到广义随机系统的集值滤波方程。
By using the techniques of the matrix decomposition and the system transformation, the set-valued filtering for stochastic singular linear systems is also designed.
并利用奇异值分解方法和模矩阵的性质，给出了使不确定广义系统鲁棒稳定的一个鲁棒界。
A robust stability boundary of uncertain singular systems is proposed by utilizing singular value decomposition and the character of mode matrix.
为了便于利用现有的正常系统研究结果，运用矩阵的约当分解，将一类广义系统化为正常系统，并保持其可观测性不变。
For the sake of using the research of normal systems easily, descriptor systems are changed into normal systems by using Jordan decomposition of matrixes and their observability is hold on.
给出实矩阵的广义谱分解式，讨论广义正定实矩阵的特征根的一些性质。
In this paper, we give a general spectral resolution of real matrix and some properties eigenvalue of a general positive definite real matrix.
对于带多传感器的广义线性离散随机系统，基于奇异值分解，将其化为等价的两个降阶多传感器子系统。
For the linear discrete stochastic descriptor systems with multisensor, based on the singular value decomposition, the equivalent two reduced order multisensor subsystems are obtained.
讨论了半单广义顶点代数（相应地半单广义顶点算子代数）的若干性质，例如：这些代数的分解；
In this paper, some properties of semisimple generalized vertex algebras (resp. semisimple generalized vertex operator algebras), for example the decompositions of these algebras;
利用广义逆理论和奇异值分解理论，研究离散型线性随机系统的综合控制设计问题。
This paper discusses the synthetical control designing problem for discrete linear stochastic systems with generalized inverse theory and the singular value decomposition theory.
首先讨论了真镇定带前通的广义系统的最小阶正常观测-控制器的设计问题，然后基于降阶观测-控制器，明确给出了广义系统双互质分解的一种新的状态空间实现。
The design problem of minimal order observer based controllers for properly stabilizing a singular system with direct control feed through term is discussed, and a design method is given.
理论分析表明，对广义分数低阶空时矩阵进行奇异值分解可获得噪声子空间估计。
Theoretical analysis shows that the matrix FSTM can be used to obtain the estimation of noise subspace.
文章利用广义方差分解研究了沪市各个分类指数之间的关系，显示了系统冲击在各个行业指数之间传递的特点。
Using the new method, the paper studies the interrelationships between the five ShangHai sector indexes. The results suggest that the shock to one in…
文章利用广义方差分解研究了沪市各个分类指数之间的关系，显示了系统冲击在各个行业指数之间传递的特点。
Using the new method, the paper studies the interrelationships between the five ShangHai sector indexes. The results suggest that the shock to one in…
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