所有子群皆交换或正规的有限群

本文研究所有子群皆交换或正规的有限群. 我们获得了非幂零的情形的一个特征刻画, 也给出了幂零情形的一些性质.     

Synthesis,Structure and High Thermal Stability of a Novel Three‐dimensional Zinc(II) Complex with an Unsymmetrical Rigid‐flexible Ligand

A novel metal‐organic framework, [Zn(C₁₀H₈O₅)]_n ( 1 ) (C₁₀H₈O₅ = 2‐(4‐carboxylatophenoxy)propionate), was synthesized and characterized by elemental analysis, IR spectroscopy, X‐ray crystallography and thermogravimetric analysis. The crystal structure study reveals that each zinc atom is coordinated by four oxygen atoms from four different ligands to obtain a distorted tetrahedron. The rigid carboxyl group bridges two adjacent zinc atoms to form a dimer of eight‐membered rings, whereas the flexible carboxyl group bridges two adjacent dimers to form 1D chains along the a axis. Two adjacent 1D chains are interconnected by the ligands to produce 2D layers. These layers are further stabilized by intermolecular hydrogen bonds to construct a 3D framework showing high thermal stability (445 °C).     

193 nm氟化物增透膜的特性

 为了研制低损耗、高性能的193 nm氟化物增透膜,研究了基底和不同氟化物材料组合对氟化物增透膜的影响。在熔石英基底上,将挡板法和预镀层技术相结合,采用热舟蒸发方式制备了不同氟化物材料组合增透膜,对增透膜的剩余反射率和光学损耗等光学特性,以及表面粗糙度和应力等特性进行了测量和比较。在分析比较和优化的基础上,设计制备的3层1/4波长规整膜系AlF3/LaF3增透膜在193 nm的剩余反射率低于0.14%,单面镀膜增透膜的透射率为93.85%,增透膜表面均方根粗糙度为0.979 nm,总的损耗约为6％。要得到高性能的193 nm增透膜,应选用超级抛光基底。     

Threshold behaviour of a stochastic SIR model

In this paper, we investigate the threshold behaviour of a susceptible-infected-recovered (SIR) epidemic model with stochastic perturbation. When the noise is small, we show that the threshold determines the extinction and persistence of the epidemic. Compared with the corresponding deterministic system, this value is affected by white noise, which is less than the basic reproduction number of the deterministic system. On the other hand, we obtain that the large noise will also suppress the epidemic to prevail, which never happens in the deterministic system. These results are illustrated by computer simulations.     

Cohomology of the Schrdinger Algebra S(1)

We explicitly compute the first and second cohomology groups of the Schrdinger algebra S(1) with coefficients in the trivial module and the finite-dimensional irreducible modules.We also show that the first and second cohomology groups of S(1) with coefficients in the universal enveloping algebras U(S(1))(under the adjoint action) are infinite dimensional.     

Existence and regularity of solutions for evolution equations with Riemann–Liouville fractional derivatives

In this paper, we derive the existence and uniqueness of mild solutions for inhomogeneous fractional evolution equations in Banach spaces by means of the method of fractional resolvent. Furthermore, we give the necessary and sufficient conditions for the existence of strong solutions. An example of the fractional diffusion equation is also presented to illustrate our theory.     

基于6-羟基-2-吡啶基膦酸配体的铜配合物的合成、结构及磁性

在水热条件下, 以6-羟基-2-吡啶基膦酸为主配体, 4, 4'-联吡啶(bpy)及1, 2-二(4-吡啶基)乙烯(bpe)为桥联配体, 合成了2个铜膦酸配位聚合物[Cu₃(L)₂(bpy)₂(H₂O)₂]·2H₂O (1), [Cu₃(L)₂(bpy)₂(H₂O)₃]·2H₂O (2)。配合物1中, Cu²⁺离子由膦酸配体连接成一条链, 该链由bpy桥联成二维层, 层与层之间通过氢键作用构成三维结构。配合物2与配合物1是同构的, 桥联配体是bpe。磁性研究表明, 配合物1与2中铜离子之间存在反铁磁性耦合。     

基于二氧化硅球腔微电极阵列的过氧化氢生物传感器制备

以聚苯乙烯(PS)微球阵列为模板,采用溶胶-凝胶法在氧化铟锡( ITO)电极上制备了二氧化硅(SiO2)球腔阵列,扫描电镜显示此方法制备的SiO2球腔阵列高度有序.电化学研究结果表明,该球腔阵列的循环伏安曲线符合微电极阵列的电化学特点.将血红蛋白(Hb)作为氧化还原模型蛋白直接吸附于球腔内,制得电流型过氧化氢(H2O2...