A family of skew Hadamard difference sets

In 1933 a family of skew Hadamard difference sets was described by Paley using matrix language and was called the Paley-Hadamard difference sets in the literature. During the last 70 years, no new skew Hadamard difference sets were found. It was conjectured that there are no further examples of skew Hadamard difference sets. This conjecture was proved to be true for the cyclic case in 1954, and further progress in favor of this conjecture was made in the past 50 years. However, the conjecture remains open until today. In this paper, we present a family of new perfect nonlinear (also called planar) functions, and construct a family of skew Hadamard difference sets using these perfect nonlinear functions. We show that some of the skew Hadamard difference sets presented in this paper are inequivalent to the Paley-Hadamard difference sets. These new examples of skew Hadamard difference sets discovered 70 years after the Paley construction disprove the longstanding conjecture on skew Hadamard difference sets. The class of new perfect nonlinear functions has applications in cryptography, coding theory, and combinatorics.     

正相协列乘积和的重对数律与强大数律

证明了强平稳正相协列乘积和的重对数律与不同分布正相协列乘积和的强大数律,指出了部分和服从强大数律但乘积和未必服从强大数律这一事实,并讨论了定理2中一个条件的必要性．     

Martin Boundaries of Elliptic Skew Products, Semismall Perturbations, and Fundamental Solutions of Parabolic Equations

We consider positive solutions of elliptic partial differential equations on non-compact domains of Riemannian manifolds. We explicitly determine Martin boundaries and Martin kernels for a class of elliptic equations in skew product form by exploiting and developing perturbation theory for elliptic equations and short/long-time estimates for fundamental solutions of parabolic equations.     

Research on Digital Models for Product Design and Manufacture

CAD/CAM integrate technology has been drawn to much a ttention and becomes one of the focus of the international academic and commerci al research, Through efforts nearly 10 years, remarkable progress has been made in the 3-dimension feature parametric modeling. UG, SOLIDWORK and MDT apply the se technology with respective features. However, no distinct development has bee n made in the digital models from geometric feature to manufacture feature. Prod uct information expression and the basic model frame ...     

Research on Product Information Integrating and Sharing for Dynamic Colla boration

Dynamic Collaboration emerges as the new trend of n et working and collaborating work in manufacturing industry, in which product infor mation sharing among allied enterprises plays very important roles in collaborat ing product development. This thesis aims at studying the integrating, contr olling and sharing mode of product information among the heterogeneous and dispe rsed environments through Internet, and proposes the information integrating/sha ring architecture based on the Product Master Model (P...     

The use of combined LC-GC for the analysis of fuel products: A review

A review of the analysis of petroleum fuels, oils, tars and engine exhaust particulate extracts by on-line coupled LC-GC is presented.     

A Characterization of Cosmological Time Functions

A characterization of time functions on a spacetime is made by using theMöbius equation. It is shown that a time function characterized in this wayyields past timelike geodesic incompleteness and local Lorentzian warpedproduct decomposition of spacetime, provided that the stress-energy tensoris a fluid. Also, by imposing additional assumptions on the stress-energytensor and global analytic structure of the spacetime, more restrictivedecompositions closer to Robertson–Walker spacetimes are obtained.     

中国南海海绵化学成份研究Ⅱ—B·C

从中国南海西沙群岛永胜岛附近海域采集到的一种海绵(种属未定)分离到两种新的三羟基长链酰胺类化合物S—Ⅱ(C_(49)H_(99)NO_4,M=765,m.p.138-140℃)和S—Ⅲ(C_(45)H_(93)NO_4,M=723,m.p.92—93℃),通过对它们的IR,MS,~1HNMR,~(13)CNMR及~(13)CNMR DEPT等波谱数据分析,S—Ⅱ和S—Ⅲ的结构分别确定为N-(1-乙基-3,22-二羟基)二十二烷基-2-甲基-4-羟基二十四脂肪酸酰胺和N-(1-羟甲基-2-乙基-4-甲基-3,18-二羟基)十九烷基—二十三脂肪酸酰胺。     

支持产品创新的分散网络化制造

阐述了产品创新与对企业赢得竞争的重要性，分析了产品快速开发的支撑体系，并通过实例描述了分散网络化制造的全过程，这种网络联盟企业将对我国制造业提高产品创新能力，缩短新产品上市周期、提高产品开发质量、快速响应市场产生显著的效果。     

城市垃圾与废塑料的热解处理

阐述了热解的定义与优点，从热解产物、热解工艺流程、热解过程的主要技术参数及其影响等3个方面对热解处理进行了系统介绍，展望了热解法在塑料回收中的应用前景。