An Algorithm to Construct <Emphasis Type="BoldItalic">k</Emphasis>-Regular <Emphasis Type="BoldItalic">k</Emphasis>-Connected Graphs with the Maximum <Emphasis Type="BoldItalic">k</Emphasis>-Diameter

 Let f(2m,k) be the Maximum k-diameter of k-regular k-connected graphs on 2m vertices. In this paper we give an algorithm and prove that we can construct k-regular k-connected graphs on 2m vertices with the maximum k-diameter using it. We also prove some known results about f(2m,k) and verify that we can get some unknown values of f(2m,k) by our algorithm. Received: December 1, 2000 Final version received: March 12, 2002 Acknowledgments. We thank the referee for many useful suggestions.     

空间应用的低温工质

介绍了低温流体在低温低压近临界区以及稀薄状态下的特殊性质,并详细介绍了几种低温工质的特点以及它们在空间技术中的应用。     

On Minimax Fractional Optimality and Duality with Generalized Convexity

In this paper, we establish several sufficient optimality conditions for a class of generalized minimax fractional programming. Based on the sufficient conditions, a new dual model is constructed and duality results are derived. Our study naturally unifies and extends some previously known results in the framework of generalized convexity and dual models. Mathematics Subject Classifications: 90C25, 90C32, 90C47.     

关于复Banach空间的几何学

本文介绍复Ｂａｎａｃｈ空间几何学近年来的发展状况及其与向量值调和分析、Ｂ值鞅理论的联系。文章包括以下内容：１．几个反例；２．复凸性与复凸模；３．解析Ｒａｄｏｎ－Ｎｉｋｏｄｙｍ性质的分析特征；４．解析Ｒａｄｏｎ－Ｎｉｋｏｄｙｍ性质的几何特征；５．几种ＲＮ性质的比较；６．ＰＬ一致凸性的鞅刻画；７．Ｈ一致凸性的鞅刻画；８．向量值Ｈａｒｄｙ与Ｐａｌｅｙ不等式；９．解析ＵＭＤ空间。     

Results on Bent Functions

In this paper, we present three results on bent functions: a construction, a restriction, and a characterization. Starting with a single bent function, in a simple but very effective way, the construction produces a large number of new bent functions in the same number of variables. The restriction imposes new conditions on the directional derivatives of bent functions. Certain non-existence results that were previously obtained through computer search follow easily from these conditions. The characterization describes bent functions as certain solutions of a system of quadratic equations. Interesting new properties of bent functions are obtained using the characterization.     

光学零件超声波清洗的应用现状及其发展

本文在概述超声波清洗机理之后，着重介绍了光学零件超声波清洗的应用现状及光学零件超声波清洗用的清洗剂、脱水剂、干化剂等清洗辅料的几个进展阶段，以及当前清洗辅料的研究动态及面临课题。     

夸克胶子等离子体中的次带头阶得拜屏蔽质量

采用实时有限温度下的QCD,考虑到胶子的衰减率计算了QGP中次领头阶得拜屏蔽质量的贡献,克服了通常计算中的红外发散的困难,且不必引入非微扰的磁屏蔽质量作红外截断.指出了所得结果的正定性和规范无关性并与格点模拟的结果进行了比较.     

1313nm脉冲泵浦下掺Er3+光纤中多波长可见光的产生

本文报道了以1313nmNd:YLF激光脉冲泵浦掺饵(Er³⁺)单模GeO₂/SiO₂光纤而产生多波长可见光的实验,在该光纤中观察到(463～510)nm间的多波长放大自发辐射过程,此过程对应于Er³⁺离子的²G_7/2等几个激发态到⁴I_13/2亚稳态的跃迁.其激发过程是分步的四光子吸收过程,同时,掺饵光纤的红外发射峰1530nm(⁴I_13/2-⁴I_15/2)与1313nm泵浦光之间的三波混频过程也对这一区间的连续多峰的光谱结构有贡献.实验中还观察到540nm附近的绿光辐射.     

关于迭代Tikhonov正则化的最优正则参数选取

本文讨论了算子和右端都近似给定的第一类算子方程的迭代Ｔｉｋｈｏｎｏｖ正则化，给出了不依赖于准确解的任何信息但能得到最优收敛阶的正则参数选取法。