The globally Bi-3-connected property of the honeycomb rectangular torus

The honeycomb rectangular torus is an attractive alternative to existing networks such as mesh-connected networks in parallel and distributed applications because of its low network cost and well-structured connectivity. Assume that m and n are positive even integers with n ? 4. It is known that every honeycomb rectangular torus HReT(m,n) is a 3-regular bipartite graph. We prove that in any HReT(m,n), there exist three internally-disjoint spanning paths joining x and y whenever x and y belong to different partite sets. Moreover, for any pair of vertices x and y in the same partite set, there exists a vertex z in the partite set not containing x and y, such that there exist three internally-disjoint spanning paths of G-{z} joining x and y. Furthermore, for any three vertices x, y, and z of the same partite set there exist three internally-disjoint spanning paths of G-{z} joining x and y if and only if n ? 6 or m = 2.     

Étude expérimentale du mélange réactif au sein d'un réacteur torique ondulé (RTO)

Reactive mixing in a wavy torus reactor (WTR) has been examined experimentally. Its performances are compared to these of two other reactors: a plane torus reactor (PTR) and a baffled stirred tank reactor (BSTR). hydrodynamics of mixing has been studied using a plug flow model with axial dispersion for the WTR and PTR. The effect of axial dispersion on the kinetic of a chemical reaction was then analysed for the WTR, PTR and BSTR. Mixing times were slightly longer for the WTR due to a weaker axial dispersion. We also noticed an improvement of the convertion rate for low dissipated power.     

一种用于图像篡改定位的半脆弱数字水印算法

设计并实现了一种用于数字图像内容认证的半脆弱水印方案。算法中,图像块的水印选择Logistic映射作为混沌系统从该图像块本身产生一系列混沌序列,作用于水印的嵌入;每个图像块产生的水印按照Torus,自同构映射嵌入另一个映射块的LSB(Least Significant Bit),对应关系通过密钥来确定,这样建立起图像块之间的相关性;利用混沌对初值极端敏感性的特点,能够定位检测对加入水印图像的篡改,且水印提取不需要原始图像。实验结果表明,嵌入水印后的图像的视觉好;算法具有图像内容局部篡改检测的有效性、敏感性以及良好的篡改定位能力。     

基于椭圆循环圆的轿车扁平液力变矩器设计

为设计叶形更为合理、性能更优的轿车扁平化液力变矩器,提出了基于椭圆的扁平循环圆设计方法。提出了全新的扁平率定义,使扁平率的变化能够反应循环圆整体形状的变化。在分析环量分配规律对变矩器性能影响的基础上,改进了传统的等环量分配叶片法,针对不同叶轮采用不同的二次函数环量分配规律进行叶片设计,得到了叶形更为合理的扁平变矩器叶片。将本文方法与传统方法进行了对比分析,结果表明,用本文方法设计的扁平变矩器性能更佳。     

限制李超代数环面秩的一个重要性质

限制李代数基本理论在李代数研究中具有重要地位.本文根据限制李代数理论,给出了限制李超代数的环面及环面秩的定义,并利用限制包络证明了关于限制李超代数环面秩的一个重要性质.     

Embedding a fault-free hamiltonian cycle in a class of faulty generalized honeycomb tori

Generalized honeycomb torus (GHT) is recognized as an attractive alternative to existing torus interconnection networks in parallel computing systems. Assume that m and d are integers with m ? 2 and d ? 8. This paper addresses the fault-tolerant hamiltonicity of GHT(m, 2d, d) with fault set F = {(w, y), (x, y)}, where w < x, w + y is even and x + y is odd. We show that such a faulty GHT is hamiltonian by presenting a systematic method for constructing a fault-free hamiltonian cycle. This result reveals another appealing feature of GHTs.     

Fourier methods for quasi‐periodic oscillations

Quasi‐periodic oscillations and invariant tori play an important role in the study of forced or coupled oscillators. This paper presents two new numerical methods for the investigation of quasi‐periodic oscillations. Both algorithms can be regarded as generalizations of the averaging and the harmonic (spectral) balance methods. The algorithms are easy to implement and require only minimal a priori knowledge of the system. Most importantly, the methods do not depend on an a priori co‐ordinate transformation. The methods are applied to a number of illustrative examples from non‐linear electrical engineering and the results show that the methods are efficient and reliable. In addition, these examples show that the presented algorithms can also continue through regions of sub‐harmonic (phase‐locked) resonance even though they are designed only for the quasi‐periodic case. Copyright © 2006 John Wiley & Sons, Ltd.     

两类特殊管状曲面的研究

参数曲线曲面的参数化直接决定了其代数性质,如正则性,而在计算机辅助几何设计中,自交现象却是一类不能直接应用的非正则性问题.管状曲面作为一类重要的几何造型,主要研究管道曲面和正交环面.在正则管状曲面的研究基础上,迫切着手对两类特殊的非正则管状曲面的自交问题展开研究,主要通过代数方法分析各自在数学上的几何特性,从而在理论上明确自交区域的去除部分,为将来准确去除自交提供支撑.     

凝胶淀粉的制备与应用研究

采用玉米凝胶淀粉的中试产品，作果冻胶凝剂，冰淇淋、发酵乳酸饮料等的增稠稳定剂。试验表明：玉米凝胶淀粉具有良好的凝胶性能，可替代明胶、羧甲基纤维素钠等作胶凝剂和增稠稳定剂。     

基于坐标变换的圆环面/球面相交分析

利用坐标变换使圆环中心轴与球心同在XOZ平面内,讨论了在该平面内圆环截圆与球圆的位置不相交、相切和相交时圆环面和球面的相交情况,并给出了判别圆环面、球面相交情况的流程图以及圆环面和球面相交实例。