On vector-valued random Fourier series

Consider a (complex) Banach spaceX, such thatX C_O, and vectors(X _i ) _i ofX. Consider an independent standard normal sequence(g _i ) _i . Then if anX-valued random Fourier series _{|k| n} e ^ikt g _k x _k satisfies

Matroid Shellability, β-Systems,and Affine Hyperplane Arrangements

The broken-circuit complex is fundamental to the shellability and homology of matroids, geometric lattices, and linear hyperplane arrangements. This paper introduces and studies the -system of a matroid, nbc(M), whose cardinality is Crapo's -invariant. In studying the shellability and homology of base-pointed matroids, geometric semilattices, and afflne hyperplane arrangements, it is found that the -system acts as the afflne counterpart to the broken-circuit complex. In particular, it is shown that the -system indexes the homology facets for the lexicographic shelling of the reduced broken-circuit complex , and the basic cycles are explicitly constructed. Similarly, an EL-shelling for the geometric semilattice associated with M is produced,_and it is shown that the -system labels its decreasing chains.Basic cycles can be carried over from The intersection poset of any (real or complex) afflnehyperplane arrangement is a geometric semilattice. Thus the construction yields a set of basic cycles, indexed by nbc(M), for the union of such an arrangement.     

Infrared spectra of carbon monoxide-hydrogen sulfide van der Waals complexes in the C-O stretching region

The CO-stretching vibration-rotation spectra of CO-H₂S, CO-D₂S, and CO-HDS complexes have been studied in the 2150 cm⁻¹ region using a supersonic slit-jet expansion and a tunable diode laser spectrometer. The spectra were analyzed with the help of very recent microwave pure rotational studies of the same complexes. Two bands were assigned for each of the symmetric hydrogen sulfide isotopes, corresponding to the two nuclear spin modifications, para and ortho. The band origins were blue shifted, relative to the free CO molecule, by about 3.8 cm⁻¹ for CO-H₂S and 4.3 cm⁻¹ for CO-D₂S. These are considerably smaller shifts than exhibited by the related CO-water complexes, indicating that the intermolecular forces in CO-H₂S are weaker and more isotropic.     

复杂网络时空混沌同步的Backstepping设计

利用Backstepping设计进行了复杂网络时空混沌的同步研究.首先将实现两个混沌系统同步的Backstepping设计推广到由m个时空混沌系统构成任意结构的复杂网络的同步研究中.进一步依据稳定性理论确定了网络同步时配置系数和控制增益满足的关系.整个网络实现同步仅需要在网络中的一个节点施加控制输入即可.进一步通过仿真实验验证了同步机理的有效性.     

AMT对青铜文物缓蚀作用理论研究

：5-氨基-2-巯基-1,3,4-噻二唑（AMT）能和青铜器表面铜离子作用生成一种配位型聚合物的保护膜[AMT –Cu (Ⅰ)]n,并将其中的氯离子置换出来,避免了青铜器的进一步腐蚀。为了深入了解AMT的缓蚀作用机理,本文采用密度泛函理论（DFT）和自然键轨道理论（NBO）,在B3LYP/6-31+G（d, p）水平上对AMT中反应活性位点的确定及活性原子所带电荷和杂化形式作了分析,并利用Multiwfn波函数分析了反应前后前线轨道能的变化。结果表明,-SH基中的S原子能与Cu(Ⅱ)形成有效的共价键,而N6原子可与Cu(Ⅱ)离子形成配位键,促使聚合物膜[AMT-Cu(Ⅰ)]n的形成。并且从概念DFT的活性指数（主要为 , , , , ）比较中发现,AMT-Cu(Ⅰ)-H较AMT的亲电性指数增加,有利于形成高聚物膜,而且反应前后AMT构型中的Ｃ、N、S却始终在同一平面,而C-S和C-N键键长和键角均有不同程度的变化。     

基于邻菲咯啉的反应型三元铕配合物的合成与荧光性质

以二苯甲酰甲烷(HDBM)为第一配体,5-丙烯酰胺基-1,10-菲咯啉(Aphen)为活性第二配体,制备了新的反应型三元铕配合物Eu(DBM)₃Aphen。通过元素分析、红外光谱和热分析对配合物进行了组成确定,采用紫外光谱、荧光光谱、荧光寿命和荧光量子产量研究了配合物的光物理性能。结果表明,在紫外光激发下,配合物Eu(DBM)₃Aphen能发射Eu3+的特征荧光,其荧光发射强度、单色性、荧光寿命和荧光量子产率等均显著高于文献报道的丙烯酸配合物Eu(DBM)₂AA的相应数值,表明配合物Eu(DBM)₃Aphen不仅可作为潜在的红色发光材料,还可作为反应型的配合物,为制备具有优异发光性能的稀土聚合物提供了一条新的途径。     

具有随机节点结构的复杂网络同步研究

针对具有随机节点结构的复杂网络, 研究其同步问题. 基于Lyapunov稳定性理论和线性矩阵不等式技术给出了复杂网络同步稳定的充分性条件, 该充分性条件不仅与复杂网络的状态时延有关, 还与节点结构的概率分布有关. 数值仿真表明本文方法的有效性. 关键词： 复杂网络 随机节点 同步稳定 时滞     

(2+1)维广义Nizhnik-Novikov-Veselov系统的新严格解和复合波激发

利用拓展的Riccati方程映射法与变量分离法，得到了(2+1)维广义Nizhnik-Novikov-Veselov(GNNV)系统新的含有两个任意函数的相当广义的变量分离严格解.根据其中的周期波解，找到了该系统的复合波，即在周期波背景下的孤立波，并简要讨论了其演化行为. 关键词： GNNV系统 拓展Riccati映射 周期波解 孤立波     

Monte Carlo simulations of star-branched polyelectrolyte micelles

The concentration profiles of monomers and counterions in star-branched polyelectrolyte micelles are calculated through Monte Carlo simulations, using the freely jointed chain model. We have investigated the onset of different regimes corresponding to the spherical and Manning condensation of counterions as a function of the strength of the Coulomb coupling. The Monte Carlo results are in fair agreement with the predictions of Self-Consistent-Field analytical models. We have simulated a real system of diblock copolymer micelles of (sodium-polystyrene-sulfonate)(NaPSS)-(polyethylene-propylene)(PEP) with f = 54 hydrophilic branches of N = 251 monomers at room temperature in salt-free solution. The calculated form factor compares nicely with our neutron scattering data. Received 18 July 2002 and Received in final form 11 October 2002 RID="a" ID="a"e-mail: roger@drecam.saclay.cea.fr     

液态泡沫结构及其稳定性

液态泡沫由大量气泡密集堆积在少量的表面活性剂溶液中形成, 是具有高度自组织结构的典型的软物质. 文章从泡沫物理学角度简要介绍了液态泡沫的结构特征和稳定性方面的研究.