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北京大学数学科学院田刚院士谈欧拉公式与计数几何（图）
北京大学数学科学院 院士 欧拉公式与计数几何
2016/5/4
2016年4月22日，珞珈讲坛第136讲，中国科学院院士、北京大学数学科学院院长田刚讲述欧拉公式与计数几何。武汉大学副校长李斐为其颁发珞珈讲坛纪念证书。田刚介绍了欧拉定理的创建者欧拉的生平，认为欧拉的工作“使得数学更接近于现在的形态”，并讲述了欧拉定理与正多面体的关系。田刚还介绍了著名的“七桥问题”，这是18世纪著名古典数学问题之一。1736年，29岁的欧拉向圣彼得堡科学院递交了《哥尼斯堡的七座桥...
上海交通大学数学科学学院皮玲副教授
上海交通大学数学科学学院 副教授 几何分析方法的图像处理 计算机图形学
2016/4/25
皮玲，副教授，上海交通大学数学科学学院。她的研究兴趣：基于PDE，几何分析方法的图像处理及计算机图形学。Publications:[1] C.M. Shen, J.S. Fan, L. Pi, F. Li, Delineating Lakes and Enclosed Islands in Satellite Imagery by Geodesic Active Contour Model, In...
第17届国际几何与图学会议征文通知
第17届 国际几何与图学 会议 征文
2016/1/9
第17届国际几何与图学会议（The 17th International Conference on Geometry and Graphics）将于2016年8月4日-8日在北京举行。会议由北京理工大学与中国图学学会承办。会议旨在交流与展示世界各国几何学、图学以及相关领域的学术研究成果与工程应用典范。国际几何与图学会议（ICGG）是国际几何学与图学研究、教育工作者学术盛会，由国际几何学与图学学会...
ENERGY OF TWISTED HARMONIC MAPS OF RIEMANN SURFACES
Riemann surface fundamental group flat bundle harmonic map energy Teichmuller space convex cocompact hyperbolic manifold
2015/12/17
The energy of harmonic sections of flat bundles of nonpositively curved (NPC) length spaces over a Riemann surface S is a function E ρ on Teichm¨uller space TS which is a qualitative invariant of the ...
This paper contains two main results. The first is the existence of an equivariant WeilPetersson geodesic in Teichm¨ uller space for any choice of pseudo-Anosov mapping class. As a consequence one obt...
We show that for arbitrary fixed conjugacy classes C1, . . . , Cl, l ≥ 3, of loxodromic isometries of the two-dimensional complex or quaternionic hyperbolic space there exist isometries g1, . . . , gl...
Scalable Frames and Convex Geometry
Scalable frames tight frames preconditioning Farkas’s lemma
2015/12/10
The recently introduced and characterized scalable frames can be considered as those frames which allow for perfect preconditioning in the sense that the frame vectors can be rescaled to yield a tight...
A RATIO TEST IN ACTIVE CONTROL NON-INFERIORITY TRIALS WITH A TIME-TO-EVENT ENDPOINT
Active control Fixed margin Fraction retention
2015/3/18
There are essentially two kinds of non-inferiority hypotheses in an active control trial:
fixed margin and ratio hypotheses. In a fixed margin hypothesis, the margin is a
prespecified constant and t...
关于圈C4h+3的(r1,r2,…,r4h+3)-冠的优美性
圈 冠 优美图
2012/11/23
给出了圈C4h+3的(r1,r2,…,r4h+3)-冠的定义,讨论了圈C4h+3的(r1,r2,…,r4h+3)-冠的优美性，用构造性的方法给出了一些特殊的圈C4h+3的(r1,r2,…,r4h+3)-冠的优美标号.
On the electron scattering on the one-dimensional complexes: the vertex array method
electron scattering one-dimensional complexes vertex array method
2011/2/21
The problem of electron scattering on the one-dimensional complexes is considered. We present a novel theoretical approach to solution of the transport problem for a quantum graph.
On the polygonal diameter of the interior, resp. exterior, of a simple closed polygon in the plane
Jordan-Brouwer theorem Jordan exterior (interior) Jordan’s curve theorem
2011/2/21
We give a tight upper bound on the polygonal diameter of the interior, resp. exterior, of a simple n-gon, n ≥ 3, in the plane as a function of n, and describe an n-gon (n ≥ 3) for which both upper bou...
A vertex-colored graph is rainbow vertex-connected if any two ver-tices are connected by a path whose internal vertices have distinct colors, which was introduced by Krivelevich and Yuster.
Geometric approach to Hall algebra of representations of Quivers over local ring
Quantum generalized Kac-Moody algebra Hall algebra quiver local ring
2011/2/25
The category of representations of a Dynkin quiver over local ring R = k[t]/(tn) is not hereditary any more. The Hall algebra defined on this category doesn’t have a well defined coalgebraic structure...