n维向量的向量积的定义及应用

运用广义行列式的定义给出了n维向量的向量积的定义,并给出了相应的应用.     

Theoretical studies of active power/angle sub-matrix in power flow Jacobian for power system analysis

Properties of the active power/angle sub-matrix in the power flow Jacobian for power system analysis are studied. The sub-matrix is a dominant and irreducible matrix under very general conditions of power systems, so that it is invertible. Also the necessary conditions for its singularity are given. These theoretical results can be used to clarify the ambiguous understanding of the sub-matrix in current literature, and also provide the theoretical foundations for the applications based on reduced power flow Jacobian. Numerical simulation on the IEEE 118-bus power system is used to illustrate our results.     

一般束缚态本征值问题谱的离散性

将一类本征值问题化成等价的积分形式，利用积分形式证明了这类本征值问题的本征值谱的离散性。     

弦动力学中带“质量”项拉氏算子的求值问题

本文介绍了弦动力学中带“质量”项的Ｌａｐｌａｃｅ算子在二维周期边界条件下行列式微分的求值方法。     

Minkowski行列式不等式在广义正定矩阵上的推广

矩阵的行列式不等式是矩阵理论研究的重要内容之一,对广义正定矩阵上Minkowski行列式不等式进行了改进,推广了近期的一些结果.