给出了拓扑空间中环面自映射的可分复迭映射和提升映射的合理定义,对映射度进行了描述.此外,文中界定了环面自映射中的迭代与映射度并研究了环面自映射中的映射度的迭代,得出了对于环面上连续自映射f的映射度的如下结果:若F是f的提升,则...给出了拓扑空间中环面自映射的可分复迭映射和提升映射的合理定义,对映射度进行了描述.此外,文中界定了环面自映射中的迭代与映射度并研究了环面自映射中的映射度的迭代,得出了对于环面上连续自映射f的映射度的如下结果:若F是f的提升,则1)E*ο Fn=fn ο E*,且Deg(fn)=(Deg(f))n;2)Deg(g ο f)=Deg(f)·Deg(g),(其中g是环面上连续自映射).展开更多
New exact solutions in terms of the Jacobi elliptic functions are obtained to the (2+1)-dimensional breakingsoliton equation by means of the modified mapping method. Limit cases are studied, and new solitary wave solu...New exact solutions in terms of the Jacobi elliptic functions are obtained to the (2+1)-dimensional breakingsoliton equation by means of the modified mapping method. Limit cases are studied, and new solitary wave solutionsand triangular periodic wave solutions are obtained.展开更多
In this paper, we aim at researching status and finding the research fronts in the field of Big Data in recent 15 years. This study applies CiteSpace software to the visualization analysis about the literature data fr...In this paper, we aim at researching status and finding the research fronts in the field of Big Data in recent 15 years. This study applies CiteSpace software to the visualization analysis about the literature data from the year 2000 to 2014 in Web of Science, and to carry out preliminary discussion on the research hotspot and the fronts of Big Data. It concluded that Big Data have been exerting so great influence on the world that increasing researchers from different countries and institutes have continuously researched it in recent years.展开更多
As feature sizes shrink,low energy consumption,high reliability and high performance become key objectives of network-on-chip(NoC) design.In this paper,an integrated approach is presented to map IP cores onto NoC arch...As feature sizes shrink,low energy consumption,high reliability and high performance become key objectives of network-on-chip(NoC) design.In this paper,an integrated approach is presented to map IP cores onto NoC architecture and assign voltage levels for each link,such that the communication energy is minimized under constraints of bandwidth and reliability.The design space is explored using tabu search.In order to select optimal voltage level for the links,an energy-efficiency driven heuristic algorithm is proposed to perform energy/reliability trade-off by exploiting communication slack.Experimental results show that the ordinary energy optimization techniques ignoring the influence of voltage on fault rates could lead to drastically decreased communication reliability of NoCs,and the proposed approach can produce reliable and energy-efficient implementations.展开更多
New family of integrable symplectic maps are reduced from the Toda hierarchy via constraint for a higher flow of the hierarchy in terms of square eigenfunctions.Their integrability and Lax representation are deduced s...New family of integrable symplectic maps are reduced from the Toda hierarchy via constraint for a higher flow of the hierarchy in terms of square eigenfunctions.Their integrability and Lax representation are deduced systematically from the discrete zero curvature representation of the Toda hierarchy. Also a discrete zero curvature representation for the Toda hierarchy with sources is presented.展开更多
The authors define the Gauss map of surfaces in the three-dimensional Heisenberg group and give a representation formula for surfaces of prescribed mean curvature.Furthermore,a second order partial differential equati...The authors define the Gauss map of surfaces in the three-dimensional Heisenberg group and give a representation formula for surfaces of prescribed mean curvature.Furthermore,a second order partial differential equation for the Gauss map is obtained,and it is shown that this equation is the complete integrability condition of the representation.展开更多
By choosing a discrete matrix spectral problem, a hierarchy of integrable differential-difference equations is derived from the discrete zero curvature equation, and the Hamiltonian structures are built. Through a hig...By choosing a discrete matrix spectral problem, a hierarchy of integrable differential-difference equations is derived from the discrete zero curvature equation, and the Hamiltonian structures are built. Through a higher-order Bargmann symmetry constraint, the spatial part and the temporal part of the Lax pairs and adjoint Lax pairs, which we obtained are respectively nonlinearized into a new integrable symplectic map and a finite-dimensional integrable Hamiltonian system in Liouville sense.展开更多
文摘给出了拓扑空间中环面自映射的可分复迭映射和提升映射的合理定义,对映射度进行了描述.此外,文中界定了环面自映射中的迭代与映射度并研究了环面自映射中的映射度的迭代,得出了对于环面上连续自映射f的映射度的如下结果:若F是f的提升,则1)E*ο Fn=fn ο E*,且Deg(fn)=(Deg(f))n;2)Deg(g ο f)=Deg(f)·Deg(g),(其中g是环面上连续自映射).
文摘New exact solutions in terms of the Jacobi elliptic functions are obtained to the (2+1)-dimensional breakingsoliton equation by means of the modified mapping method. Limit cases are studied, and new solitary wave solutionsand triangular periodic wave solutions are obtained.
文摘In this paper, we aim at researching status and finding the research fronts in the field of Big Data in recent 15 years. This study applies CiteSpace software to the visualization analysis about the literature data from the year 2000 to 2014 in Web of Science, and to carry out preliminary discussion on the research hotspot and the fronts of Big Data. It concluded that Big Data have been exerting so great influence on the world that increasing researchers from different countries and institutes have continuously researched it in recent years.
基金Supported by the Natural Science Foundation of China(No.61003032,61100118)Artificial Intelligence Key Laboratory of Sichuan Province of China(No.2010RY010,2011RYJ05)
文摘As feature sizes shrink,low energy consumption,high reliability and high performance become key objectives of network-on-chip(NoC) design.In this paper,an integrated approach is presented to map IP cores onto NoC architecture and assign voltage levels for each link,such that the communication energy is minimized under constraints of bandwidth and reliability.The design space is explored using tabu search.In order to select optimal voltage level for the links,an energy-efficiency driven heuristic algorithm is proposed to perform energy/reliability trade-off by exploiting communication slack.Experimental results show that the ordinary energy optimization techniques ignoring the influence of voltage on fault rates could lead to drastically decreased communication reliability of NoCs,and the proposed approach can produce reliable and energy-efficient implementations.
文摘New family of integrable symplectic maps are reduced from the Toda hierarchy via constraint for a higher flow of the hierarchy in terms of square eigenfunctions.Their integrability and Lax representation are deduced systematically from the discrete zero curvature representation of the Toda hierarchy. Also a discrete zero curvature representation for the Toda hierarchy with sources is presented.
基金supported by the National Natural Science Foundation of China (Nos. 10571068,10871149)the Research Fund for the Doctoral Program of Higher Education (No. 200804860046)
文摘The authors define the Gauss map of surfaces in the three-dimensional Heisenberg group and give a representation formula for surfaces of prescribed mean curvature.Furthermore,a second order partial differential equation for the Gauss map is obtained,and it is shown that this equation is the complete integrability condition of the representation.
基金Supported by the National Basic Research Program of China (973) Funded Project under Grant No. 2011CB201206
文摘By choosing a discrete matrix spectral problem, a hierarchy of integrable differential-difference equations is derived from the discrete zero curvature equation, and the Hamiltonian structures are built. Through a higher-order Bargmann symmetry constraint, the spatial part and the temporal part of the Lax pairs and adjoint Lax pairs, which we obtained are respectively nonlinearized into a new integrable symplectic map and a finite-dimensional integrable Hamiltonian system in Liouville sense.
