A series of hydrozine bridged metal halides single crystals were synthesized. Among them were [Zn(N2H4)2F2]·2H2O and [Zn(N2H4)2F]·Cl, the structures of which were characterized and shown to be 1D infinite ch...A series of hydrozine bridged metal halides single crystals were synthesized. Among them were [Zn(N2H4)2F2]·2H2O and [Zn(N2H4)2F]·Cl, the structures of which were characterized and shown to be 1D infinite chains. The crystal structures of the two compounds show that these 1D chains are organized into 3D structures through hydrogen bonds, and the halide anions play an important role in the stability of the crystals. The components and connecting types of these chains were compared with [Zn(N2H4)2Cl2]·2H2O to illustrate the stabilizing effect of hydrogen bonds between one dimensional chains. CSD: 413707, 1; 413708, 2.展开更多
With the help of the zero-curvature equation and the super trace identity, we derive a super extensionof the Kaup-Newell hierarchy associated with a 3×3 matrix spectral problem and establish its super bi-Hamilton...With the help of the zero-curvature equation and the super trace identity, we derive a super extensionof the Kaup-Newell hierarchy associated with a 3×3 matrix spectral problem and establish its super bi-Hamiltonianstructures.Furthermore, infinite conservation laws of the super Kaup-Newell equation are obtained by using spectralparameter expansions.展开更多
Locating arrays are of interest in generating software test suites to cover all t-way component interactions and locate interaction faults in component-based systems.Recently,Tang,Colbourn and Yin made an investigatio...Locating arrays are of interest in generating software test suites to cover all t-way component interactions and locate interaction faults in component-based systems.Recently,Tang,Colbourn and Yin made an investigation into optimal locating arrays in the case where a single fault is to be located.They pointed out that when two or more faults were considered,matters would become rather complicated.To handle those cases generally seems challenging,but is well worth further research.In this paper,we establish a lower bound on the size of locating arrays with at most two faults,and then prove that optimal locating arrays meeting this bound can be equivalently characterized in terms of orthogonal arrays with prescribed properties.Using this characterization,we develop a number of constructions of optimal locating arrays.Two infinite series of optimal locating arrays are then obtained.展开更多
This paper addresses a finite difference approximation for an infinite dimensional Black-Scholesequation obtained by Chang and Youree (2007).The equation arises from a consideration ofan European option pricing proble...This paper addresses a finite difference approximation for an infinite dimensional Black-Scholesequation obtained by Chang and Youree (2007).The equation arises from a consideration ofan European option pricing problem in a market in which stock prices and the riskless asset prices havehereditary structures.Under a general condition on the payoff function of the option,it is shown thatthe pricing function is the unique viscosity solution of the infinite dimensional Black-Scholes equation.In addition,a finite difference approximation of the viscosity solution is provided and the convergenceresults are proved.展开更多
文摘A series of hydrozine bridged metal halides single crystals were synthesized. Among them were [Zn(N2H4)2F2]·2H2O and [Zn(N2H4)2F]·Cl, the structures of which were characterized and shown to be 1D infinite chains. The crystal structures of the two compounds show that these 1D chains are organized into 3D structures through hydrogen bonds, and the halide anions play an important role in the stability of the crystals. The components and connecting types of these chains were compared with [Zn(N2H4)2Cl2]·2H2O to illustrate the stabilizing effect of hydrogen bonds between one dimensional chains. CSD: 413707, 1; 413708, 2.
基金Supported by National Natural Science Foundation of China under Grant No.10871182 Innovation Scientists and Technicians Troop Construction Projects of Henan Province (084200410019)SRFDP (200804590008)
文摘With the help of the zero-curvature equation and the super trace identity, we derive a super extensionof the Kaup-Newell hierarchy associated with a 3×3 matrix spectral problem and establish its super bi-Hamiltonianstructures.Furthermore, infinite conservation laws of the super Kaup-Newell equation are obtained by using spectralparameter expansions.
基金supported by National Natural Science Foundation of China (Grant Nos.10831002,10801104)the Graduate Student Research and Innovation Program of Jiangsu Province (GrantNo.CXZZ11-0084)
文摘Locating arrays are of interest in generating software test suites to cover all t-way component interactions and locate interaction faults in component-based systems.Recently,Tang,Colbourn and Yin made an investigation into optimal locating arrays in the case where a single fault is to be located.They pointed out that when two or more faults were considered,matters would become rather complicated.To handle those cases generally seems challenging,but is well worth further research.In this paper,we establish a lower bound on the size of locating arrays with at most two faults,and then prove that optimal locating arrays meeting this bound can be equivalently characterized in terms of orthogonal arrays with prescribed properties.Using this characterization,we develop a number of constructions of optimal locating arrays.Two infinite series of optimal locating arrays are then obtained.
基金supported by a grant W911NF-04-D-0003 from the US Army Research Office
文摘This paper addresses a finite difference approximation for an infinite dimensional Black-Scholesequation obtained by Chang and Youree (2007).The equation arises from a consideration ofan European option pricing problem in a market in which stock prices and the riskless asset prices havehereditary structures.Under a general condition on the payoff function of the option,it is shown thatthe pricing function is the unique viscosity solution of the infinite dimensional Black-Scholes equation.In addition,a finite difference approximation of the viscosity solution is provided and the convergenceresults are proved.
