On (∈, ∈ ∨q k )-fuzzy ideals of ordered semigroups

In this paper, the concept of (∈, ∈ ∨q _k )-fuzzy ideals of an ordered semigroup S is introduced by the ordered fuzzy points of S, and related properties are investigated. Furthermore, we introduce the concept of prime (∈, ∈ q _k )-fuzzy ideals of ordered semigroups, and give some characterizations of them. As an application results of this paper, the corresponding results in ordinary semigroups can be also obtained by moderate modification.     

Triple integral approach to reachable set bounding for linear singular systems with time‐varying delay

This paper is concerned with the reachable set estimation problem of singular systems with time‐varying delay and bounded disturbance inputs. Based on a novel Lyapunov–Krasovskii functional that contains four triple integral terms, reciprocally convex approach and free‐weighting matrix method, two sufficient conditions are derived in terms of linear matrix inequalities to guarantee that the reachable set of singular systems with time‐varying delay is bounded by the intersection of ellipsoid. Finally, two numerical examples are given to demonstrate the effectiveness and superiority of the proposed method. Copyright © 2016 John Wiley & Sons, Ltd.     

两个基于4-咪唑羧酸配体超分子配位聚合物的合成、结构和性质

以含4-咪唑和羧酸基团的双功能基团4-咪唑基苯甲酸(HL1)为配体,用水热法合成了2个超分子化合物[Cd(L1)(HL1)I](1)和[Co2(L1)4(H2O)8](2),并进行了元素分析、红外、热重、粉末衍射及X-射线单晶衍射等表征。晶体结构解析结果表明:配合物1属于单斜晶系,P21/c空间群,L1-配体连接Cd( Ⅱ)离子成一维链,这些一维链通过氢键连接成三重贯穿的α-Po结构的超分子聚合物;配合物2不对称结构单元中,存在3种不同的金属Co( Ⅱ)中心单核分子,这些相互独立的分子单元通过丰富的氢键连接成三维的聚合物。同时,对配合物1室温下的固体荧光性质和配合物2对气体的吸附性能进行了研究。     

A highly selective turn-on colorimetric and luminescence sensor based on a triphenylamine-appended ruthenium(Ⅱ) dye for detecting mercury ion

A dual colorimetric and luminescent sensor based on a heteroleptic ruthenium dye[Ru(Hipdpa)(Hdcbpy)(NCS)_2]~-·0.5H~+ 0.5[N(C_4H_9)_4]~+ Ru(Hipdpa) {where Hdcbpy = monodeprotonted-4,4'-dicarboxy-2.2'-bipyridineand Hipdpa = 4-(1H-imidazo[4,5-f][l,10]phenanthroIin-2-yl)-N,N-diphenylaniIine} for selective detection of Hg~(2+) is presented.The results of spectrophotometric titrations revealed an evident luminescence intensity enhancement(I/I_0 =11) and a considerable blue shift in visible absorption and luminescence maxima with the addition of Hg~(2+).The sensitive response of the optical sensor on Hg~(2+) was attributed to the binding of the electron-deficient Hg~(2+) to the electron-rich sulfur atom of the thiocyanate(NCS) ligand in the Ru(Hipdpa).which led to an increase in the energy gap between the highest occupied molecular orbital(HOMO) and the lowest unoccupied molecular orbital(LUMO).Accordingly,the blue shift in the absorption spectrum of Ru(Hipdpa) due to the binding of Hg~(2+) was obtained.Ru(Hipdpa) was found to have decreased Hg~(2+) detection limit and improved linear region as compared to di(tetrabutylammonium) ris-bis(isothiocyanato)bis(2,2'-bipyridine-4-carboxylic acid-4'-carboxylate)ruthenium(Ⅱ) N719.Moreover,a dramatic color change from pink to yellow was observed,which allowed simple monitoring of Hg~(2+) by either naked eyes or a simple colorimetric reader.Therefore,the proposed sensor can provide potential applications for Hg~(2+) detection.     

两个基于4-咪唑羧酸配体超分子配位聚合物的合成、结构和性质

以含4-咪唑和羧酸基团的双功能基团4-咪唑基苯甲酸(HL₁)为配体,用水热法合成了2个超分子化合物[Cd(L₁)(HL₁)I] (1)和[Co₂(L₁)₄(H₂O)₈] (2),并进行了元素分析、红外、热重、粉末衍射及X-射线单晶衍射等表征。晶体结构解析结果表明:配合物1属于单斜晶系,P2₁/c空间群,L₁-配体连接Cd(Ⅱ)离子成一维链,这些一维链通过氢键连接成三重贯穿的α-Po结构的超分子聚合物;配合物2不对称结构单元中,存在3种不同的金属Co(Ⅱ)中心单核分子,这些相互独立的分子单元通过丰富的氢键连接成三维的聚合物。同时,对配合物1室温下的固体荧光性质和配合物2对气体的吸附性能进行了研究。     

Imaging a periodic moving/state-changed object with Hadamard-based computational ghost imaging

We propose a method for imaging a periodic moving/state-changed object based on computational ghost imaging with Hadamard speckle patterns and a slow bucket detector, named as PO-HCGI. In the scheme, speckle patterns are produced from a part of each row of a Hadamard matrix. Then, in each cycle, multiple speckle patterns are projected onto the periodic moving/state-changed object, and a bucket detector with a slow sampling rate records the total intensities reflected from the object as one measurement. With a series of measurements, the frames of the moving/state-changed object can be obtained directly by the second-order correlation function based on the Hadamard matrix and the corresponding bucket detector measurement results. The experimental and simulation results demonstrate the validity of the PO-HCGI. To the best of our knowledge, PO-HCGI is the first scheme that can image a fast periodic moving/state-changed object by computational ghost imaging with a slow bucket detector.     

Synthesis, Structure and Photoluminescent Property of an Entangled Cd（Ⅱ） Complex Constructed from a Rigid Imidazolyl Ligand

The assembly of rigid 1, 4-di(1H-imidazol-4-yl)benzene (L) and Cd(OAc)2·2H2O affords an entangled complex [Cd(L)2(OAc)2]n (1) which was characterized by single-crystal X-ray diffraction, IR, elemental analysis and PXRD. The complex crystallizes in monoclinic, space group P21/c with a = 8.2603(9), b = 11.8162(13), c = 14.4138(16), β = 105.309(2)o, V = 1356.9(3)3, Z = 2, C28H26CdN8O4, Mr = 650.97, Dc = 1.593 g/cm3, μ = 0.856 mm?1, S = 1.015, F(000) = 660, the final R = 0.0456 and wR = 0.1366 for 2532 observed reflections (I > 2σ(I)). 1 possesses [Cd(L)2]n layer motifs, and parallel sets of layer motifs aggregate into a 2D + 2D → 3D mutually interpenetrated system. Photoluminescence study revealed that complex 1 exhibits strong fluorescent emission bands in the solid state at room temperature.     

长方矩阵常见广义逆的代数扰动

本文详细讨论了长方矩阵常见广义逆的代数扰动理论,并给出了他们代数扰动的表达式,改进了文献3,4的相应结论.