On sensitive elliptic singular perturbation problems and logarithmic oscillations: the case of shells with edges

This work deals with singular perturbation problems depending on small positive parameter ?. The limit problem as ? → 0 has no solution within the classical theory of PDEs, which uses distribution theory. A very particular and less‐known phenomenon appears: large oscillations. These problems exhibit some kind of instability; very small and smooth variations of the data imply large singular perturbations of the solution. That kind of problems appears in elasticity for highly compressible two‐dimensional bodies and thin shells with elliptic middle surface with a part of the boundary free. Here, we consider certain properties of that oscillations and extend the theory to shells with edges. Copyright © 2012 John Wiley & Sons, Ltd.     

考虑边聚类与扩散特性的信息传播网络结构优化算法

优化网络结构以促进信息在网络中传播一直是复杂网络研究的重点,网络中边的聚类特性和扩散特性对信息传播具有重要作用. K-truss分解算法是一种利用边的聚类特性识别网络关键节点的算法,然而K-truss算法会受到网络中局部聚类结果 (即相互连接的假核结构)的影响,而这些假核结构里的节点对信息扩散能力通常较弱.为此,本文提出一种衡量边扩散特性的指标,研究发现一些位于网络边缘的边具有很好的扩散性,但这类边的聚类很低,并不利于信息传播.通过同时考虑边的聚类特性和扩散特性之间的制约关系,提出一种信息传播网络结构优化算法.为了验证所提算法的有效性,使用该算法对四个真实的网络进行结构优化,并使用经典的独立级联模型来验证网络结构优化前后信息传播的有效范围.结果表明:使用提出的算法优化后的网络拓扑可以有效提高信息传播范围;并且,优化后的网络其叶子节点数目降低、聚类系数降低以及平均路径长度降低.     

Camera calibration from vanishing points in a vision system

Camera calibration has been studied for many years and there are many methods available to find the parameters precisely. However, most existing methods require information of the known scene points in general three-dimensional positions for the calibration. A simple, geometrically intuitive method is proposed. The intrinsic parameters of the camera are determined by using the vanishing points in each image. The rotation matrix of the projection matrix is computed from the vanishing and image edges and the translation matrix are obtained with additional translation motion between the viewpoints. Our approach does not need any a priori information about the cameras being used. Computer simulations and real data experiments are carried out to validate our method.     

具有缩影的图式流型

本文运用扭转运算及组合理论给出了具有缩影的图式流型的同胚类的个数。     

A symmetrical linear maxmin approach to disjoint bilinear programming

Received June 24, 1996 / Revised version received May 22, 1997 Published online February 25, 1999     

Spatial shapes of magnetoelastic shear body waves at the transmission edges in a periodically inhomogeneous magnetostrictive medium

The spatial shapes of magnetoelastic shear body waves at the transmission edges in a periodically inhomogeneous magnetostrictive medium are studied. Numerical results are obtained for a two-component composition of ferrite and nonmagnetic dielectric __________ Translated from Prikladnaya Mekhanika, Vol. 42, No. 3, pp. 61–69, March 2006.     

Radiolysis of carboxylic acids adsorbed in clay minerals

This research is aimed at studing the effect of ionizing radiation in an heterogeneous system formed by a carboxylic acid adsorbed in a clay mineral. The study is focussed to discriminate if the presence of a solid surface alters the formation and distribution of radiolytic products in relation to the radiolysis of the carboxylic acid without the surface (clay). The results showed that the radiolysis of the system clay-acid goes along a defined path rather than showing various pathways of decomposition as in the case of simple aqueous solutions. The main pathway was the decarboxylation of the target compound rather than condensation/dimerization reactions.     

Homogeneous continua in 2-manifolds

In 1960 R.H. Bing [2] proved that every homogeneous plane continuum that contains an arc is a simple closed curve. At that time Bing [2, p. 228] asked if every 1-dimensional homogeneous continuum that contains an arc and lies on a 2-manifold is a simple closed curve. We prove that no 2-manifold contains uncountably many disjoint triods. We use this theorem and decomposition theorems of F.B. Jones [10] and H.C. Wiser [19] to answer Bing's question in the affirmative. We also prove that every homogeneous indecomposable continuum in a 2-manifold can be embedded in the plane. It follows from this result and another theorem of Wiser [20] that every homogeneous continuum that is properly contained in an orientable 2-manifold is planar.