Linearization through state immersion of nonlinear systems admitting Lie symmetries

In this paper, it is shown that if a nonlinear system admits a Lie symmetry that can be transformed into its Poincaré-Dulac normal form by a state diffeomorphism, then, under some technical conditions, such a nonlinear system can be immersed into a linear one. This allows us to compute in closed-form the flow, all algebraic invariant curves (through semi-invariants) of the nonlinear system, and Lyapunov functions to study stability properties.     

一类非线性偏微分方程的对称研究

利用待定系数法研究了一类任意阶偏微分方程的对称，并将此方法应用到Rosenau—Hyman方程，得到了该方程的对称，从而证明此方法对于一维偏微分方程的可行性。     

Automatic segmentation of color images with transitive closure

In this paper, a mask based automatic segmentation algorithm for color images which uses pixel similarity has been presented. Main concept of the algorithm relies on spatial mask for course segmentation and the Warshall's transitive closure (TC) computation algorithm for region merging. Although the proposed spatial mask approach reduces the computational burden required for segmentation or clustering techniques such as seeded region growing (SRG) or fuzzy c-means (FCM) in which user supplied parameters are essential, it has over segmentation drawback. Therefore, the transitive closure algorithm, which uses adjacency and similarity matrix associated to undirected graph of the over segmented image, has been employed to merge the regions. After comparing to existing methods, the obtained experimental results confirmed that the color images as well as gray level images could be segmented with considerable accuracy. Also computational complexity of image segmentation is significantly reduced. Furthermore, there is no need any user supplied parameter such as the number of clusters or seed points.     

Oblique Vortex Lattice Implies Unconventional Pairing Symmetry in High Temperature Superconductors

The symmetry of order parameters of YBa₂Cu₃O_{7 –} high temperature superconductor was studied with the Ginzburg–Landau theory. The vortex lattice of a YBa₂Cu₃O₇ superconductor is oblique at a temperature well below the transition temperature T _c, where the mixed s– state is expected to have the lowest energy, whereas very close to T _c, the -wave is slightly lower in energy, and a triangular vortex lattice recovers. The coexistence and the coupling between the s- and d-waves would account for the unusual behaviors such as the upward curvature of the upper critical field curve H _C2(T).     

Probing the Vorticity in a Superconductor Rapidly Quenched from the Normal State

Topological defects such as vortices subsist for some time in a rapidly frozen superconducting film (W. H. Zurek, Phys. Rep. 276, 177, 1996). We propose to use as a probe of the vortex density the finite delay T _d, which, in narrow strips, exists between a current step and the voltage response. Technically, this amounts to driving a bridge into the localized hot-spot regime by means of a pump pulse (laser or electrical). Cooling of such films as epitaxial YBCO-on-MgO, or niobium-on-sapphire, requires only a few nanoseconds at low T. A time t later, a probe pulse is applied to measure T _d. The dependence t T _d is interpreted as a witness of the fossil vorticity, long after quenching into the zero-resistance regime.     

TV Program Recommendation for Multiple Viewers Based on user Profile Merging

Since today’s television can receive more and more programs, and televisions are often viewed by groups of people, such as a family or a student dormitory, this paper proposes a TV program recommendation strategy for multiple viewers based on user profile merging. This paper first introduces three alternative strategies to achieve program recommendation for multiple television viewers, discusses, and analyzes their advantages and disadvantages respectively, and then chooses the strategy based on user profile merging as our solution. The selected strategy first merges all user profiles to construct a common user profile, and then uses a recommendation approach to generate a common program recommendation list for the group according to the merged user profile. This paper then describes in detail the user profile merging scheme, the key technology of the strategy, which is based on total distance minimization. The evaluation results proved that the merging result can appropriately reflect the preferences of the majority of members within the group, and the proposed recommendation strategy is effective for multiple viewers watching TV together.     

知网与同义词词林的信息融合研究

本文主要探讨了将知网(HowNet) 和同义词词林进行信息融合的方法。我们针对知网对词的概念描述和同义词词林对词的语义分类的特点,提出了一种词典信息融合的方法:首先为词林的每个词集确定一个与知网中DEF 类似的概念描述,在此基础上对两部词典中同时收录且均只有一个义项的词语进行双向意义联结,最后根据分类算法对两部词典中同时收录非单一义项的词语进行双向意义联结。实验表明,本文提出的处理策略达到了93 %的信息融合正确率,融合后形成的新词典兼有词林的分类学信息和知网的概念描述信息。     

一种基于GOP的MPEG-2媒体流动切割与合并方法

MPEG-2视频编码技术由于其较高的压缩比和高质量图像，在数字电视及电影等方面具有重要应用。由于编码算法相对较为复杂，迫切需要解决MPEG-2媒体流的切割和合并问题，从而实现有效的节目制作。本文正是针对MPEG-2媒体流，提出了一种基于GOP的压缩域视频分割与合并方法。通过分析媒体流的数据结构，详细蛤出了算法的原理和实现过程。最后，还通过实验证明了该方法的可行性和高效率。