查询词典 jordan

Recalling some basic concepts and results on Euclidean Jordan algebra and vector optimization, we outline the contents studied in this thesis.

介绍了本文研究所需的基本概念和相关理论，继而提出了本文所要研究的主要内容。

In this thesis, we mainly study the theory of vector optimization in three aspects: the spectral scalarization of Euclidean Jordan algebra vector optimization, the robust methods for solving uncertain multiobjective linear optimization problem and the application in game theory.

本文共分四章，主要致力于向量优化三个方面的研究：欧几里德若当代数向量优化的谱标量化、不确定多目标线性优化问题的鲁棒方法和向量优化在对策论中的应用。

Adopting generalized Jordan block and algebra equivalence transform method, all of the transfer functions at different load points can be transformed to state-space description with time variable. The steady robustness of three different mode of control systems were researched by mathematic analysis. It shows that: for the high order inertia controlled object with the characteristic of nonlinear and time-variable that described by the set of transfer functions, the Luenberger function observer established according to its any algebra equivalence state-space description, if some conditions can be met, there would be a matrix of T with n′n satisfied the Sylvester matrix equation TA- FT=GC.

采用广义约当块及代数等价变换方法，可将分段的传递函数描述转换为变参数的状态空间描述，对3种典型控制系统的稳定鲁棒性所进行的理论研究表明，对同一组传递函数描述的具有非线性和时变特性的高阶惯性受控对象，依据其任一代数等价的状态空间描述所构建的Luenberger函数观测器，在满足一定的条件时，存在n′n解阵T满足Sylvester矩阵方程TA- FT=GC。

Symmetric cone complementarity problem; Euclidean Jordan algebra; C-function; Merit function; Hybrid Newton method; Regularized-smoothing method

对称锥互补问题；欧几里得若当代数；互补函数；价值函数；混合牛顿算法；正则光滑化牛顿算法

Meanwhile, the relationship between the trace scalar solution set and the Bo properly K—efficient solution set of the Euclidean Jordan algebra vector optimization problem is es- tablished.

同时，还建立了特殊谱标量解集——迹谱标量解集与Bo恰当K-有效解集的包含关系。

About the Calculation of Arc length of the Oriented Smoth Curve or Jordan;2. The experimental results show that the optimum melting voltage is 35～36 V,the reasonable arc length is 25～29 mm.

以海绵钛和中间合金压制的电极经两次熔化得到的TC11合金铸锭为原材料，采用真空自耗电弧炉，在不同的电压下熔炼3次TC11合金铸锭，研究熔化电压、弧长与TC11合金铸锭扒皮深度和扒皮量的关系。

JZ = 0 , and we can deduce a series of Jordan matrix block.

=0，可以求得一系列的约当矩阵块J_s。

Using the Jordan matrix block, we can solve the matrix M and the corresponding operator B .

用这些约当矩阵块可求得矩阵M，及相应的算子？

A matrix which has a set of complete eigenvector system can be similar orthogonally to a diagonal one through reduce it to Jordan's normal form, and based on this property,the reducing matrix was taken as the transformation one. Thus all eigenvalues and eigenvectors of the system can be obtained.

利用具有完全特征向量系的矩阵在约化若当标准型过程中可正交相似对角矩阵的特性，将变换矩阵取为约化若当标准型过程中的分解矩阵，从而求出所求系统的特征问题的全部特征值和相应的特征向量。

A matrix which has a set of complete eigenvector system can be similar orthogonally to a diagonal one through reduce it to Jordan＇s normal form, and based on this property, the reducing matrix was taken as the transformation one.

针对非经典阻尼振动线性系统，为消除非经典阻尼项给求解带来的困难，通过引入矩阵函数变换消除了原系统的阻尼条件项，将非经典阻尼振动微分方程转化为拟时不变经典阻尼方程。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。