Leonard Pairs and Leonard Triples of q-Racah Type from the Quantum Algebra U q (sl 2)

In this article, we describe the construction of Leonard pairs and Leonard triples that have q-Racah type from U _q (sl ₂)-modules by using equitable generators of U _q (sl ₂). Our result solves an open problem proposed by Terwilliger.     

Bilinear Bäcklund transformation and Lax pair for a coupled Ramani equation

In this paper, a coupled Ramani equation is proposed. The bilinear Bäcklund transformation and Lax pair for this equation are derived starting from its bilinear form. Multisoliton solutions to the system can also be obtained.     

Approximating fixed points of a pair of contractive type mappings in generalized convex metric spaces

In this paper, we consider an Ishikawa type iteration process with errors, which converges to the unique common fixed point of a pair of contractive type mappings in complete generalized convex metric spaces. Furthermore, we obtain the corresponding results in Banach spaces. Our results extend and generalize many known results.     

形如1/3(2~p+1)的孤立数

设p是奇素数.X_p=1/3(2~p+1),证明了:X_p都是孤立数.     

磷氮型极压抗磨添加剂对钢—铝摩擦副摩擦磨损性能的影响

采用ＳＲＶ摩擦磨损试验机评价了磷酸三甲酚酯（ＴＣＰ）、磷酸二丁酯（ＤＢＰ）、十二胺（ＤＡ）和磷酸胺盐（ＰＡＳ）抗磨添加剂在液体石蜡中对钢－铝摩擦副摩擦磨损性能的影响。采用Ｘ射线光电子能谱仪分析铝试磨痕表面边界润滑膜中的Ｐ和Ｎ元素的化学状态。结果表明,含Ｐ抗磨添加剂可以有效提高铝合金的耐磨性,而其中以磷氮剂的效果最好。其它含磷添加剂也可以有效地降低磨损。ＸＰＳ分析表明,在铝合金磨损表面形成了含磷酸铝     

幻方的几个充要条件

建立等重方阵的概念,并运用它阐述幻方、2次幻方、3次幻方及中心对称互补幻方的充要条件,根据这些结论构作出一些8阶、9阶2次中心对称互补幻方.     

ON THE MODULI NUMBER OF PLANE CURVE SINGULARITIES WITH ONE CHARACTERISTIC PAIR

61.IntroductionSincethepoineeringworkofZariskil1o]therehavebeenmanypaperspublishedonthemodulinumberofplanecurvesingUlaritiesl5-9].TheproblemhowtocomputethemodulinumberattractsmWattentions[3'6-1o1.Asfarastheauthors'knowledgethemostgener-aJizedalgorithmistheworkof[3]whichdependsonthedivisiontheoremin[1,2].HerewegivealinearalgebraicproofoftheBriancon-Granger-Maisonobe,stheoremlwhichavoidstheDivisiontheorem.Sincethedivisiontheoremonlyholdsindimension2,itseemsquitehopefUlthattheproofherewil1beg…     

洪灾综合风险分析方法讨论(Ⅰ)——基于集对分析理论

随着社会经济的发展及人们对洪水灾害认识的深入,洪灾风险的研究从单一风险转向综合风险,将是防洪减灾理论发展的必然趋势.根据洪灾风险的特性,引入信息的整体性原理,并应用集对分析理论对洪灾风险系统进行确定不确定分析,首次提出了洪灾系统风险的同异反分析方法.该方法将干旱、洪涝及其风险信息综合体现在洪水灾害系统的联系度中,从而为进一步开展详尽的综合风险分析奠定了理论基础.     

The elasto-damage theory of the components assembling model

The potential energy in materials is well approximated by pair functional which is composed of pair potentials and embedding energy. During calculating material potential energy, the orientational component and the volumetric component are derived respectively from pair potentials and embedding energy. The sum of energy of all these two kinds of components is the material potential. No matter how microstructures change, damage or fracture, at the most level, they are all the changing and breaking atomic bonds. As an abstract of atomic bonds, these components change their stiffness during damaging. Material constitutive equations have been formulated by means of assembling all components’ response functions. This material model is called the component assembling model. Theoretical analysis and numerical computing indicate that the proposed model has the capacity of reproducing some results satisfactorily, with the advantages of great conceptual simplicity, physical explicitness, and intrinsic induced anisotropy, etc. Supported by the National Natural Science Foundation of China (Grant Nos. 10572140 and 10232050) and the Ministry of Science and Technology Foundation (Grant No. 2002CB412706)