两种平衡电路——从经典到现代

研究两种平衡电路,它可以统一解释电位计、电桥和运放电路等各种零电路.用于运放以后,平衡电路可以克服经典应用时的局限性,特别是它能使平衡电路自动地、瞬时地达到平衡,并且能处理从直流扩展到包括低频、高频的交流信号.     

Wavelets with differential relation

Divergence-free wavelets are successfully applied to numerical solutions of Navier-Stokes equation and to analysis of incompressible flows. They closely depend on a pair of one-dimensional wavelets with some differential relations. In this paper, we point out some restrictions of those wavelets and study scaling functions with the differential relation; Wavelets and their duals are discussed; In addition to the differential relation, we are particularly interested in a class of examples with the interpolatory property; It turns out there is a connection between our examples and Micchelli’s work.     

解一般线性规划逆问题的一个O（n^3L）算法

本文讨论了一般线性规划逆问题在各种情况下的求解，并基于解凸二次规划的原对偶内点算法，给出了一个O（n3L）算法和一个实用算法．     

关于Kahler流形上的Newton力学

本文讨论Ｋａｈｌｅｒ流形上的Ｎｅｗｔｏｎ力学．在此给出Ｎｅｗｔｏｎ定律、动能定律、动量定律、虚位移原理、Ｄ＇Ａｌｅｍｂｅｒｔ－Ｌａｇｒａｎｇｅ原理、运动方程及“普遍运动方程”等的复的数学形式．     

电磁场的复张量表述

在电磁场的三维复矢量表述基础之上获得对应的四维复张量表述形式,同时又考虑磁荷流密度并引入双势法,将电磁场复张量表述推广到同时包含电荷与磁荷流密度的情形并获得了复张量麦克斯韦方程组.     

Gr—Morita对偶

[1，2]中讨论了G-分次（R-A）-双模RUA导出一个Gr-Morita对偶与Morita对偶的关系，本将进一步给出G-型分次（R-S）-双模RUS定义一个Gr-Morita对偶的充要条件。     

求解非线性规划的原始对偶内点法(英文)

In this paper, we propose a primal-dual interior point method for solving general constrained nonlinear programming problems. To avoid the situation that the algorithm we use may converge to a saddle point or a local maximum, we utilize a merit function to guide the iterates toward a local minimum. Especially, we add the parameter ε to the Newton system when calculating the decrease directions. The global convergence is achieved by the decrease of a merit function. Furthermore, the numerical results confirm that the algorithm can solve this kind of problems in an efficient way.     

对偶Gabriel定理及其应用

定义了余半单余代数上双余模的箭图, 并由此定义任意余代数C的Gabriel箭图, 证明了它和C的Ext箭图是一致的. 对于具有可分余根C₀的余代数, 得到对偶Gabriel定理,这推广了点化余代数的相应结果. 对于任意余代数, 给出C₁=C₀Ù_CC₀的新刻画, 这推广了点化余代数的Taft-Wilson定理. 作为应用, 对局部有限余代数和拟余Frobenius代数给出了其Gabriel箭图的组合刻画.     

四元Goethals码的对偶码

Abstract. The trace representation of the dual of quaternary Goethals code δ(m) is given . It isproved that the shortened code of δ(m) is cyclic and its generators are shown.