Local Dependence Test Between Random Vectors Based on the Robust Conditional Spearman’s ρ and Kendall’s τ

Acta Mathematicae Applicatae Sinica, English Series - This paper introduces two local conditional dependence matrices based on Spearman’s ρ and Kendall’s τ given the condition...     

On some types of covering rough sets from topological points of view

The concept of coverings is one of the fundamental concepts in topological spaces and plays a big part in the study of topological problems. This motivates the research of covering rough sets from topological points of view. From topological points of view, we can get a good insight into the essence of covering rough sets and make our discussions concise and profound. In this paper, we first construct a type of topology called the topology induced by the covering on a covering approximation space. This notion is indeed in the core of this paper. Then we use it to define the concepts of neighborhoods, closures, connected spaces, and components. Drawing on these concepts, we define several pairs of approximation operators. We not only investigate the relationships among them, but also give clear explanations of the concepts discussed in this paper. For a given covering approximation space, we can use the topology induced by the covering to investigate the topological properties of the space such as separation, connectedness, etc. Finally, a diagram is presented to show that the collection of all the lower and upper approximations considered in this paper constructs a lattice in terms of the inclusion relation ⊆.     

The gauge transformation of the q-deformed modified KP hierarchy

In this paper, we mainly study three types of gauge transformation operators for the q-mKP hierarchy. The successive applications of these gauge transformation operators are derived. And the corresponding communities between them are also investigated.     

On some congruence properties of elliptic curves

In this paper, as a consequence of a theorem of Serre on congruence properties of elliptic curves, a complete solution (see Theorem 2.1) is given for an open question (i.e., the KKP question) presented recently by Kim, Koo, and Park. Some partial results for the KKP question of S-type are obtained (see Theorem 3.1 and Corollary 3.2). Several further related questions are also presented and discussed.     

LO-phonon effect on the exciton binding energy in polar rectangular quantum wires

Longitudinal optical phonon effect on Wannier excitons in polar rectangular quantum wires is studied by a variational approach. The binding energy is calculated and the numerical results for several II-VI and III-V compound semiconductor rectangular quantum wires are given. The results show that the phonon effect reduces the binding energy and cannot be neglected. The phonon contribution to the binding energy is sensitive to the size of the rectangular quantum wire section, and increases with decreasing section area. The results for the GaAs rectangular quantum wires coincide with the experimental results. The calculated binding energy and the phonon effect in II-VI QWWs are both stronger than those in III-V compound systems, and the results for ZnSe QWW are qualitatively in agreement with the experiments.     

3,4,5,6-四氟邻苯二甲酸与含氮配体的过渡金属配合物的合成、晶体结构及对Fe3+的荧光传感

利用过渡金属盐与3,4,5,6-四氟邻苯二甲酸（TFPT）、1,3-二（4-吡啶基）-丙烷（DPP）和1,4-二（1,2,4-三氮唑）-1-丁烷（BTB）经水热法合成了3个新的配合物：{[M（TFPT）（DPP）]·H₂O}_n（M=Cd（1）,Ni（2））,{[Cd（TFPT）（BTB）_0.5]·2H₂O}_n（3）。通过X射线单晶衍射分析测定了它们的结构。配合物1和2具有相似的一维链结构。中心金属离子表现为扭曲的[MO₄N₂]八面体构型。配合物3具有二维结构。中心金属离子表现为扭曲的[CdO₅N]八面体构型。配合物1和3分别在424 nm、442 nm处出现来自于配体的荧光发射,对应于配体的π^*-π的跃迁,配合物2在356 nm处有非常弱的荧光发射。不同金属阳离子对配合物1和3的荧光强度有不同程度的影响,并且通过荧光的猝灭机理,它们都能选择性检测Fe³⁺离子。     

温度控制的原位脱羧3-氟邻苯二甲酸与铅(Ⅱ)配位聚合物的合成、晶体结构及荧光性质

Pb(NO₃)₂与3-氟邻苯二甲酸(H₂Fpht)和2,2'-联吡啶(bpy)在不同水热反应温度下获得了2个新的配位聚合物:[Pb(Fba)(bpy)(NO₃)] _n (1)和[Pb₄O₂(Fba)₄] _n (2)。3-氟邻苯二甲酸配体经由原位脱羧生成了3-氟苯甲酸根(Fba)。配合物1具有Pb-NO₃-Pb双螺旋链结构,是由硝酸根桥联四方反棱柱[PbO₆N₂] 结构单元而形成,而Fba与bpy配体螯合配位于中心铅离子。配合物2为Pb-OH-Pb链状结构,包含四面体结构单元[Pb₄( μ₄-OH)₄] ⁴⁺,且具有4个晶体学独立的铅离子中心:Pb(1)O₆、Pb(2)O₆、Pb(3)O₅和Pb(4)O₅。这两个配合物链分别经氢键作用力自组装为三维超分子网络结构。室温下,测定了配合物的固体荧光光谱,均显示为基于配体的荧光发射。有意思的是,通过荧光淬灭机理配合物2可以选择性地检测硝基苯。     

Electrochemical immunosensor based on nanoporpus gold loading thionine for carcinoembryonic antigen

Nanoporous gold (NPG) has recently received considerable attention in analytical electrochemistry because of its good conductivity and large specific surface area. A facile layer-by-layer assembly technique fabricated NPG was used to construct an electrochemical immunosensor for carcinoembryonic antigen (CEA). NPG was fabricated on glassy carbon (GC) electrode by alternatively assembling gold nanoparticles (AuNPs) and silver nanoparticles (AgNPs) using 1,4-benzenedimethanethiol as a cross-linker, and then AgNPs were dissolved with HNO₃. The thionine was absorbed into the NPG and then gold nanostructure was electrodeposited on the surface through the electrochemical reduction of gold chloride tetrahydrate (HAuCl₄). The anti-CEA was directly adsorbed on gold nanostructure fixed on the GC electrode. The linear range of the immunosensor was from 10 pg mL⁻¹ to 100 ng mL⁻¹ with a detection limit of 3 pg mL⁻¹ (S/N = 3). The proposed immunosensor has high sensitivity, wide linear range, low detection limit, and good selectivity. The present method could be widely applied to construct other immunosensors.     

(Δ)[Fe(II)(phen)3]2+ Filled in the Chiral Cavitiy Constituted by {(Δ)[Fe(III)(C2O4)3](NH42+)(DMF)(H2O)32−}n

A chiral coordination compound {(Δ)[Fe(II)(phen)₃][(Δ)Fe(III)(C₂O₄)₃](NH₄)(H₂O)₃(DMF)}_n (phen = 1,10‐phenanthroline), (DMF = N,N'‐Dimethylformamide), has been synthesized, and the structure has been revealed by infrared spectroscopy and X‐ray single‐crystal diffraction. The framework consists of two chiral subunits. One subunit (Δ)[(Fe(III)(C₂O₄)₃]^3? which as host anion forms a chiral porous three‐dimensional supermolecular network with lattice water, lattice DMF and lattice ammonium cation through hydrogen bonds. And then the other is Δ[Fe(II)(phen)₃]²⁺ which as guest cation fills in the chiral cavity located in the previously mentioned host porous network.