Conformal Mappings of Riemannian Spaces onto Ricci Symmetric Spaces

Mathematical Notes -     

EV-DO Rev.A在日本风头渐旺将盖过HSDPA

2006年8月31日,NTT DoCoMo开始在日本东京的中心地带提供HSDPA服务,NEC为该服务提供了惟一的一款终端,支持最高可达3.6Mbit/s的数据下载,这一速度10倍于以前FOMA手机可支持的速度。NTT DoCoMo的用户使用HSDPA服务,不需要支付额外的费用。这一举措使原本已经非常激烈的日本三大移动运营商之间的竞争又步入了一个新阶段。KDDI对此做出回应,宣布将在今年12月份推出世界上第一个商用的EV-DO Rev.A服务,KDDI目前已经推出了两款支持该服务的终端。K DDI过去所取得的成功在很大程度上归功于其采用了CDMA,这使得KDDI有效地将…     

A search technique for global optimization in a chaotic environment

We describe a new algorithm which uses the trajectories of a discrete dynamical system to sample the domain of an unconstrained objective function in search of global minima. The algorithm is unusually adept at avoiding nonoptimal local minima and successfully converging to a global minimum. Trajectories generated by the algorithm for objective functions with many local minima exhibit chaotic behavior, in the sense that they are extremely sensitive to changes in initial conditions and system parameters. In this context, chaos seems to have a beneficial effect: failure to converge to a global minimum from a given initial point can often be rectified by making arbitrarily small changes in the system parameters.     

Irregularities of distribution with respect to strips

Summary A lower bound is established for the strip discrepancy of a broad class of point distributions. The bound implies unbounded strip discrepancy for equally weighted point distributions under favorable conditions. The methods of proof use notions from integral geometry.     

Cyclic permutations and evolutionary trees

Given a tree with leaf set X, there are certain ways of arranging the elements of X in a circular order so that can be embedded in the plane and ‘preserve’ this ordering. We investigate some new combinatorial properties of these ‘circular orderings.’ We then use these properties to establish two results concerning dissimilarity maps on X that are induced by edge-weighted trees with leaf set X.     

智能功率控制产品的设计

构建和维护合适的功率环境对系统的正确运行非常关键。对功率的控制和管理越来越受到重视，无论是简单的手持式便携设备，还是多服务器机架系统，都希望能够节省能耗、降低成本。     

Buckling of a stiff thin film on a compliant substrate in large deformation

A finite-deformation theory is developed to study the mechanics of thin buckled films on compliant substrates. Perturbation analysis is performed for this highly nonlinear system to obtain the analytical solution. The results agree well with experiments and finite element analysis in wavelength and amplitude. In particular, it is found that the wavelength depends on the strain. Based on the accurate wavelength and amplitude, the membrane and peak strains in thin films, and stretchability and compressibility of the system are also obtained analytically.