关于基的Hahn—Banach延拓

本文部分回答了R.Holub提出的关于基的Hahn-Banach延拓的两个问题。证明了如果{x_n}_(n=1)~∞是X的基序列,使得[x_n]_(n=1)~∞在X中可补,则存在X上的一个等价范数‖.‖,使得{x_n}_(n=1)~∞的系数泛函{x_n}关于这个等价范数‖.‖具有一个Hahn-Banach延拓{f_n}_(n=1)~∞,且{f_n}_(n=1)~∞仍然是基序列。我们还证明如果{x_n}_(n=1)~∞是X的一个基序列,使得[x_n]_(n=1)~∞在X中可补,且{x_n}_(n=1)~∞不等价于C_o的通常单位基{e_n}_(n=1)~∞,则存在X上一个等价范数‖.‖,使得关于这个等价范数‖.‖,{x_n}_(n=1)~∞的系数泛函{x_n}_(n=1)~*没有一个Hahn-Banach延拓是一个基序列。文中也提出一个猜测。     

不动环和正规扩张的性质

本文在定义了环的C-质理想的基础上,讨论了环的不动子环和正规扩张的C-质秩和C-质性。     

关于环的Galois扩张

设R为确单位元1的环,G为R的有限自同构群,C为R的中心,K={g∈G|g(c)=c,Vc∈C}.假定R在R~G上是Galois的,Galois群为G,使得R~G是Azumaya C~G一代数.本文证明了:(1)若R~K是C上的Azumaya代数,则R=Ac~(R~K)使得A是C上的Galois扩张,Galois群为K.如果还有K的阶数是R中的单位,则还有R~K在R~G上是Galois的,Galois群为G/K.(2)若R~K=CR~G且K的阶数是R中的单位,则有(1)的结果且R~K满足Kanzaki假设.     

声发射定量技术

本文介绍了近年发展起来的声发射定量技术。     

对称算子自伴延拓的Calkin描述

本文给出对称算子自伴延拓Calkin理论的通俗陈述,将其用于讨论对称微分算子自伴延拓问题,给出几个重要定理的统一简单证明,并考虑了若干个实例。     

对称算子对称延拓的Calkin描述

文（１）在亏指数相等的条件下给出对称算子自伴延拓的Ｃａｌｋｉｎ描述，本文给出对称算子以称延拓的Ｃａｌｋｉｎ描述，去掉了亏指数相等的限制。     

可编程控制器在生产流水线控制系统中的应用

介绍一种应用于生产流水线的顺序控制和温度控制的ＰＬＣ控制系统，并给出该系统的主要功能，Ｉ／Ｏ扩展硬件配置和系统的软件设计要点。     

Addition Sequence Method of Scalar Multiplication of Elliptic Curve over OEF

A new elliptic curve scalar multiplication algorithm is proposed. The algorithm uses the Frobenius map on optimal extension field (OEF) and addition sequence. We introduce a new algorithm on generating addition sequence efficiently and also give some analysis about it. Based on this algorithm, a new method of computing scalar multiplication of elliptic curve over an ()EF is presented. The new method is more efficient than the traditional scalar multiplication algorithms of elliptic curve over OEF. The comparisons of traditional method and the new method are also given.     

Mesoscale eddy effects on the wintertime vertical mixing in the formation region of the North Pacific Subtropical Mode Water

Mesoscale eddy effects on the wintertime vertical mixing in the formation region of the North Pacific Subtropical Mode Water （NPSTMW） are studied using hydrographic data from Argo profiling floats deployed in the Kuroshio recirculation region in February and March of 2001. Anticyclonic （warm） eddy enhances the wintertime vertical mixing and results in the deep mixed layer and the deep thermocline. Consequently, a large volumetric water mass with low potential vorticity corresponding to the prototype of NPSTMW tends to be formed. By contrast, cyclonic （cold） eddy is unfavorable for the vertical mixing process and halts the deepening of the mixed layer and thus the formation of mode water. Further analysis shows that cyclonic eddies prevail in the late 1990s in the formation region of NPSTMW, which lead to significant suppression of the wintertime vertical mixing （96-98） and thus are unfavorable for the formation of NPSTMW; while the situation is completely reversed in the early 1990s （93-95）.     

路由器OSPF协议的扩展

阐述了路由器中OSPF协议的扩展，通过对QoS路由表算法的描述，分析了算法的合理性和可行性以及适用的范围。