平面图的k-重(2k+2)-染色

G=(V,E)表示一个顶点集为V,边集为E的有限简单无向图.若存在映射φ:V(G)→Zk(n)(Zk(n)是由{1,2,…,n}的所有k-元子集构成的集合),满足:(A) uv∈E(G),有φ(u)∩φ(u)=θ,则称φ是G的一个k-重n-顶点染色.本文证明了奇围长至少为5k-7(k=4)或5k-9(k=6)的平面图G...     

Invertible linear maps preserving {1}-inverses of matrices over PID

Let R be a PID,chR = 2,n > 1, M_n(R) be then xn full matrix algebra over R.f denotes any invertible linear map preserving {1}-inverses from M_n(R) to itself. In this paper, we have proven thatf is an invertible linear map on M_n(R) preserving {1}-inverses if and only iff satisfies any one of the following two conditions: (i) there exists a matrixP ? GL _n(R) such thatf(A) =PAP ^?1 for allA ? M _n(R), (ii) there exists a matrixP ? GL _n(R) such thatf(A) =PA ^t P^?1 forA ? M _n(R).     

德哈斯-范·阿耳芬效应的研究

以朗道反磁性理论为基础，讨论了佩尔斯方法，并用此方法计算了朗道反磁性系统满足条件ｋＢＴ≈μＢεＦ时的ｌｎΞ；解释了德哈斯－范·阿耳芬效应     

LD泵浦Cr∶YAG被动调Q 556nm黄光激光器

通过对谐振腔镜镀制合理的激光薄膜，成功实现了LD泵浦Nd∶YAG 1.111 μm激光谱线的运转.利用LBO腔内倍频Nd∶YAG/Cr∶YAG结构获得了高重复频率被动调Q556 nm全固态黄光激光器，在注入泵浦功率为1.6 W时，得到平均功率51 mW，脉冲宽度48 ns,重复频率8.9 kHz,峰值功率高达119 W的脉冲黄光输出.     

基于频域相位共轭技术的交叉相位调制所致失真的复原

理论分析和讨论了基于频域相位共轭技术的交叉相位调制所致信号失真的复原和补偿机理，数值模拟了在交叉相位调制作用下，高斯脉冲在中距相位共轭光纤系统中的传输演化过程.结果表明，频域相位共轭技术能够抑制交叉相位调制对光纤系统中传输信号的损害，复原其所导致的信号失真，并能够同步补偿群速度色散和自相位调制非线性效应所导致的信号失真.合适的初始脉冲时延和初始脉冲啁啾有利于频域相位共轭技术对交叉相位调制所致信号失真的抑制. 关键词： 频域相位共轭 交叉相位调制 色散 自相位调制     

THE ANALYTIC KREIN-MILMAN PROPERTY IN BANACH SPACES

In[1],A.V.BuknvalovandA.A.Danilevichhaveintroducedtheanalyticcordon--NikodylllpropertyincompleXBanacllspacesastheanalyticallalogueoftilewellknowllRadoll-NikodylllpropertyconcerningtherealgeometricalstrllcturesofBanachspaces.LetXbeacomplexBanachspace,XissaidtohavetheanalyticRadon--Nikodymproperty(analyticRNP,illshort)ifforeveryuniformlyboundedanalyticfunctiollffromtheopenunitdiscDofCwitllvaluesinX,f:D~X,fhasradiallimitsa.e.onthetornsT=={e*':0E[0,Zx]}illX,tllisllleallsthatfora.e.e6[0,…     

RCCo_3(CO)_9的电化学和RCCo_3(CO)_9~-的ESR谱研究

本文对三种RCCo_3(CO)_9及相应的自由基进行了电化学和ESR谱研究.电化学研究表明,RCCo_3(CO)_9被还原为自由基的难易与R的性质有关,RCCo_3(CO)_9在室温下可以稳定存在.在对分子轨道对称性分析的基础上对簇合物自由基的ESR谱进行了讨论.确定了超精细偶合常数的符号和未成对电子占据轨道的性质,计算了Co的3d轨道和4s轨道的自旋密度.     

A note on operator‐valued Fourier multipliers on Besov spaces

Let X be a Banach space. We show that each m : ? \ {0} → L (X ) satisfying the Mikhlin condition sup_{x ≠0}(‖m (x )‖ + ‖xm ′(x )‖) < ∞ defines a Fourier multiplier on B ^s _p,q (?; X ) if and only if 1 < p < ∞ and X is isomorphic to a Hilbert space; each bounded measurable function m : ? → L (X ) having a uniformly bounded variation on dyadic intervals defines a Fourier multiplier on B ^s _p,q (?; X ) if and only if 1 < p < ∞ and X is a UMD space. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

Phase-dependent properties for absorption and dispersion in a closed equispaced three-level ladder system

It is shown that in a closed equispaced three-level ladder system, by controlling the relative phase of two applied coherent fields, the conversion from absorption with inversion to lasing without inversion (LWI) can be realized; a large index of the refraction with zero absorption can be gotten; considerable increasing of the spectrum region and value of the LWI gain can be achieved. Our study also reveals that the incoherent pumping will produce a remarkable effect on the phase-dependent properties of the system. Modifying value of the incoherent pumping can change the property of the system from absorption to amplification and enhance significantly LWI gain. If the incoherent pumping is absent, we cannot get any gain for any value of the relative phase.