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英国皇家学会会士John Ball爵士做客数学系名师讲坛（图）
英国皇家学会 会士John Ball爵士 数学系 名师讲坛
2012/11/26
应数学系副系主任李亚纯教授的邀请，2012年10月29日下午,英国牛津大学数学研究所John Ball教授以“What can mathematics say about liquid crystals？”为题，在闵行校区数学楼大会议室为数百名交大学子带来了一场精彩的学术报告，全场座无虚席。数学系党总支书记王亚光教授、副系主任李红泽教授、黄建国教授出席了本次论坛。
基于包络理论与拓扑映射的方法对四次带参Ball曲线进行了形状分析,得出了曲线上含有奇点,拐点和曲线为局部凸或全局凸的充分必要条件,这些条件完全由控制多边形和形状参数所决定;并进一步讨论了形状参数对形状分布图的影响及其对曲线形状的调节能力.研究表明.四次带参B all曲线的形状调神能力要优于四次带参Bézier曲线.
Some remarks on the action of Luzin area operator on Bergman spaces of the unit ball
Lusin area operator Bergmanmetric ball Bergman spaces sampling sequences
2011/9/19
Abstract: We study the action of Luzin area operator on BErgman classes on the unit ball,providing some direct generalizations of recent results of Z.Wu.
Integration of Constraint Equations in Problems of a Disc and a Ball Rolling on a Horizontal Plane
Integration of Constraint Equations Disc Ball Rolling Horizontal Plane Dynamical Systems
2011/10/9
Abstract: The problem of a disc and a ball rolling on a horizontal plane without slipping is considered. Differential constrained equations are shown to be integrated when the trajectory of the point ...
Capillary floating and the billiard ball problem
floating in neutral equilibrium surface tension
2011/1/20
We establish a connection between capillary floating in neutral equilibrium and the billiard ball problem. This allows us to reduce the question of floating in neutral equilibrium at any orientation w...
Simple model of bouncing ball dynamics: displacement of the table assumed as quadratic function of time
Chaotic Dynamics (nlin.CD)
2010/11/10
Nonlinear dynamics of a bouncing ball moving in gravitational field and colliding with a moving limiter is considered. Displacement of the limiter is a quadratic function of time. Several dynamical mo...
Polynomial Approximation in Sobolev Spaces on the Unit Sphere and the Unit Ball
Polynomial Sobolev Spaces Unit Sphere Unit Ball
2010/11/18
This work is a continuation of the recent study by the authors on approximation theory over the sphere and the ball. The main results define new Sobolev spaces on these domains and study polynomial ap...
It is shown in this short note that the conjecture on the description of the group of automorphism of the spectral ball posed by Ransford and White is false.
带形状参数的四次Ball曲线
计算机应用 广义Ball曲线 形状参数 曲线设计
2013/12/12
为了明确形状参数对三次Ball曲线形状的影响,给出一个含有参数λ、u的四次多项式基函数,分析了此基函数的性质。同时定义基于该组基函数带有形状参数的多项式曲线,讨论了两段曲线连续拼接的条件。在保持控制多边形不变的情况下,可以通过改变形状参数来调整曲线形状,使得曲线具有更强的表达能力。曲线不仅具有三次Ball曲线的特性,而且具有形状的可调性和更好的逼近性。计算实例表明:该方法是有效的,可以广泛地应用于...
On modular ball-quotient surfaces with Kodaira dimension one
special surfaces, modular and Shimura varieties, Picard modular surfaces
2010/12/14
Let PU(2, 1) be a lattice which is not co-compact, of finite Bergman-covolume and acting freely on the open unit ball B C2. Then the compactification X = \ B is a smooth proj...
Small Ball Probabilities for Smooth Gaussian fields and Tensor Products of Compact Operators
Small deviations slowly varying functions smooth covariances
2010/12/10
We find the logarithmic L2-small ball asymptotics for a class of zero mean Gaussian fields with covariances having the structure of “tensor product”. The main condition imposed on marginal covariances...
Integrable Euler top and nonholonomic Chaplygin ball
Integrable Euler top nonholonomic Chaplygin ball
2010/4/2
We discuss the Poisson structures, Lax matrices, $r$-matrices, bi-hamiltonian structures, the variables of separation and other attributes of the modern theory of dynamical systems in application to t...
Correlation function for a periodic box-ball system
Correlation function periodic box-ball system
2010/4/8
We investigate correlation functions in a periodic box-ball system. For the two point functions of short distance, we give explicit formulae obtained by combinatorial methods. We give expressions for ...
On Busemann Surface Area of the Unit Ball in Minkowski Spaces
Busemann surface area Cross-section measure Isoperimetrix Intersection body Mixed volumes Projection body
2008/6/30
On Busemann Surface Area of the Unit Ball in Minkowski Spaces.