用离散均值—水平集求全局最优算法

全局最优理论和方法,由于全局性的要求,比局部最优理论和方法更为困难,特别是,至今还没有很好的全局最优性的判别准则,故多数算法法缺少好的终止准则.西文提出了一个只需计算函数值的离散均值—水平集求全局最优的方法,给出了算法的终止准则,证明了算法的收敛性,并给出了某些数值例子.     

若干镧系络合物的空间群

摘要 藉助模拟强度精修将九个镧系络合物晶体结构的空间群作了修正 .（ 1） NaN[Nd(DMSO)5(H2O)3]Cl3· 3H2O从 P1修正为 P;（ 2） Er(ClO4)3· 6(CH3)2NC(O)N(CH3)2从 P修正为 R;（ 3） Nd(O3SCF3)3· DMF· 6H2O从 P1修正为 R3m;(4)[NaNCCH3][Nd{S2CN(CH2CH3)2}4]从 P修正为 C 2/c;(5)[(CH3)2NCS2]3La· 2DMSO从 Cc修正为 C 2/c;（ 6） Yb(C9H7)2· 2THF从 Cc修正为 C 2/c;（ 7） [(C6H5)3Ge]2Yb· 4THF从 P21修正为 P 2;(8)TlPr(C36H44N4)2从 Pna2,修正为 Pnma;(9)[CuLaSm(C4O4)4(H2O)16]· 2H2O从 P2修正为 P2.（ 8）、（ 9）两个络合物结构从非心修正到有心时,不仅改进了键长与键角值,而且影响到分子结构特征的描述 .     

Geometric Origin of Staggered Fermion: Direct Product K-Cycle

Staggered formalism of lattice fermion can be cast into a form of direct product K-cycle in noncommutative geometry. We prove the correspondence between this staggered K-cycle and a canonically defined K-cycle for finitely generated Abelian groups where a lattice appears as a special case.     

Generalized H-KKM Type Theorems in H-Metric Spaces with Applications

The new notions of H-metric spaces and generalized H-KKM mappings were introduced. Some generalized H-KKM type theorems for generalized H-KKM mappings with finitely metrically compactly closed values and finitely metrically compactly open values were established in H-metric spaces. These theorems generalized recent results of Khamsi and Yuan. As applications, some Ky Fan type matching theorems for finitely metrically compactly open covers and finitely metrically compactly closed covers, fixed point theorems and minimax inequality are obtained in H-metric spaces. These results generalize a number of know results in recent literature. Paper from DING Xie-ping, Member of Editoral Committee, AMM Foundation item: the National Natural Science Foundation of China (19871059) Biography: DING Xie-ping (1938-), Professor     

Criterion for Invertibility of Endomorphisms and Test Rank of Metabelian Products of Abelian Groups

Let G be a finitely generated torsion-free group, which is a metabelian product of Abelian groups. We establish a criterion for endomorphisms satisfying some extra restriction to be invertible in G. Test sets for IA-endomorphisms of G are described and its test rank computed.     

自生磁场对相对论谐波辐射的影响

分析了自生磁场对相对论谐波辐射的影响，得出结论，自生磁场对强激光在欠稠密等离子 产生的相对论相干波辐射有重要作用，自生磁场激发偶次谐波辐射，并对奇次谐波辐射产生影响，对二次，三次谐波作了详细分析，发现，自生磁场激发二次谐波辐射，而对三次谐波辐射有削弱作用，并且它还使谐波的失相时间延长。     

原子束计算全息技术的原理与实现

提出用计算全息技术来实现原子束全息成像，降低了原子束全息的实现难度.首先论述了原子束的波动性质以及如何形成相干性能良好的准单色原子波包，然后讨论了原子束计算全息片的设计步骤，并给出了制作完成的SiN薄膜计算全息片，最后详细介绍了原子束全息的实现方案.     

Completion via Nearness for Metrically Generated Constructs

In this paper we will study completeness in symmetric metrically generated constructs via nearness spaces. Our approach consists in associating an appropriate regular nearness space with a given symmetric metered space. The completion theory known for regular nearness space has some convenient properties on which our completion of symmetric metered spaces will be based. This technique appears to be suitable for most symmetric metrically generated constructs and leads to a firm completion theory.      

Injective and Epi-Projective Objects in Categories of Convex Spaces

We give a characterization of injective and epi-projective objects in some categories of convex spaces.