检索结果-南通市图书馆

Howe duality in Dunkl superspace

在线全文

学校读者我要写书评

暂无评论

Science china mathematics 2010年第12期53卷 3153-3162页

作者： REN GuangBin 1,2.1 department of mathematics, {2. of Science and Technology of china, hefei 2.002., china 2.department of mathematics, {2. of Aveiro, Aveiro 3810-193, Portugal 1. department of mathematics University of Science and Technology of China Hefei 230026 China2. Department of Mathematics University of Aveiro Aveiro 3810-193 Portugal

In the framework of superspace in Clifford analysis for the Dunkl version, the Fischer decomposition is established for solutions of the Dunkl super Dirac operators. The result is general without restrictions on multiplicity functions or on super dimensions. The Fischer decomposition provides a module for the Howe dual pair G × osp(1|2. on the space of spinor valued polynomials with G the Coxeter group, while the generators of the Lie superspace reveal the naturality of the Fischer decomposition.

关键词： Dunkl operators superspace Fischer decomposition Dirac operator

TYPE X MONOTONE SYSTEMS WITH AN ORDER-INCREASING INVARIANT FUNCTION

在线全文

学校读者我要写书评

暂无评论

Chinese Annals of mathematics,Series B 1996年第3期17卷 335-342页

作者： JIANG JIFA(department of mathematics, The {2. of Science and Technology of china, hefei 2.0036, china.) department of mathematics University of Science and Technology of China Hefei 230036 China

The author considers the asymptotic behavior of solutions of a class of ordinary dmerentialequations x = F(x) in the nonnegative orthant R7. Suppose that F(o) = o, Fi(x1,..., xn) isnondecreasing in xk for all k≠ i and that F possesses an order-increasing invarian *** it is shown that every bounded solution to such a system converges to a single equilibrium.

关键词： Type K monotone system Monotone flow Invariant function Equilibrium Convergence

Existence of inner functions on classical domain

在线全文

学校读者我要写书评

暂无评论

Chinese Science Bulletin 1997年第1期42卷 84-85页

作者： LIU Taishun and ZHANG Wenjun1 department of mathematics, {2. of Science and Technology of china, hefei 2.002., china 2. department of mathematics Henan {2., Kaifeng 475001, china

IN function of one complex variable, the inner function on the unit disc plays an important role in the theory of H^p functions. In the mid-1960s, W. Rudin and A. Vitushkin independently raised the question of whether there exist nonconstant inner functions on the unit ball B_n. Then quickly amassed considerable evidence indicated that such functions would be so pathological that they could not exist. Lately Rudin posed the conjecture on the nonexistence

关键词： In Existence of inner functions on classical domain

NONMRAMETRIC AND SEMIPARAMETRICREGRESSION MODELS WITH LOCALLYGENERALIZED GAUSSIAN ERROR

在线全文

学校读者我要写书评

暂无评论

Systems Science and Mathematical Sciences 1997年第1期10卷 80-90页

作者： HU Shuhe (department Of mathematics,{2., hefei 2.0039, china)

Under a locally generalized Gaussian error’s structure, we obtain strong uniform consistency for nonparametric regression function estimators and strong consistency for parametric component estimators in semiparametr... 详细信息

关键词： Nonparametric semiparametric regression strong consistency

Shape blending of artistic brushstroke represented by disk B-spline curves

在线全文

学校读者我要写书评

暂无评论

Progress in Natural Science:Materials International 2007年第12期17卷 1501-1507页

作者： Cheng Min1,2.and Wang Guojin1(1. department of mathematics, Zhejiang {2., Hangzhou 31002., china 2. department of mathematics, Zhejiang {2. of Technology, Hangzhou 310032. china) department of mathematics Zhejiang University Hangzhou 310027 China 2. department of mathematics Zhejiang University of Technology Hangzhou 310032 China

This paper presents an algorithm for automatically generating in-between frames of two artistic brushstrokes. The basic idea of the algorithm is to represent the two key frames of artistic brushstrokes in disk B-spline curves, and then make blending of their geometric intrinsic variables. Given two key frames of artistic brushstrokes, the skeleton curves can be obtained by certain skeleton-based techniques. After disk B-spline representation of the key frames is generated, interpolation of the intrinsic variables of the initial and the target disk B-spline curves is carried out. Examples show that this method can efficiently create in-between frames of artistic brushstrokes.

关键词： computer aided calligraphy shape blending brushstroke disk B-spline curve skeleton.

Congruences on ideal nil-extension of completely regular semigroups

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

Chinese Science Bulletin 1998年第5期43卷 379-381页

作者： REN Xueming 1, 2.GUO Yuqi 2.and CEN Jiaping (Shum Kar-ping) 31. department of mathematics, Xi’an {2. of Architecture & Technology, Xi’an 710055, china 2. department of mathematics, Yunnan {2., Kunming 650091, china 3. department of department of mathematics Xi’an University of Architecture & Technology Xi’an China department of mathematics Yunnan University Kunming China department of mathematics Chinese University of Hong Kong Hong Kong

Let S be an ideal nil-extension of a completely regular semigroup K by a nil semigroup Q with zero. A concept of admissible congruence pairs (δ,ω) of S is introduced, where δ and ω are a congruence on Q and a congruence on K respectively. It is proved that every congruence on S can be uniquely respresented by an admissible congruence pair (δ,ω) of S. Suppose that ρ K denotes the Rees congruence induced by the ideal K of S. Then it is shown that for any congruence σ on S,a mapping Γ:σ|→(σ Q,σ K) is an order-preserving bijection from the set of all congruences on S onto the set of all admissible congruence pairs of S,where σ K is the restriction of σ to K and σ Q=(σ∨ρ K)/ρ K. Moreover,the lattice of congruences of S is also discussed. As a special case,every congruence on completely Archimedean semigroups S is described by an admissible quarterple of S. The following question is asked: Is the lattice of congruences of the completely Archimedean semigroup a semimodular lattice?

关键词： completely regular semigroups ideal nil-extension congruences.

Smoothness for the collision local times of bifractional Brownian motions

在线全文

学校读者我要写书评

暂无评论

Science china mathematics 2011年第9期54卷 1859-1873页

作者： SHEN GuangJun 1,2.& YAN LiTan 3 1 department of mathematics,East{2. university of Science and Technology,Shanghai 2.02.7,china 2.department of mathematics,anhui Normal university,Wuhu 2.1000,china 3 department of mathematics,Donghua university,Shanghai 2.162.,china 1. department of mathematics East China University of Science and Technology Shanghai 200237 China2. Department of Mathematics Anhui Normal University Wuhu 241000 China3. Department of Mathematics Donghua University Shanghai 201620 China

Let B^Hi,Ki ={ Bt^Hi,Ki, t ≥ 0}, i= 1, 2.be two independent bifractional Brownian motions with respective indices Hi ∈ （0, 1） and K∈ E （0, 1]. One of the main motivations of this paper is to investigate f0^Tδ（Bs^H1 ,K1 - the smoothness of the collision local time, introduced by Jiang and Wang in 2.09, IT = f0^T δ（Bs^H1,K1）ds, T 〉 0, where 6 denotes the Dirac delta function. By an elementary method, we show that iT is smooth in the sense of the Meyer-Watanabe if and only if min{H-1K1, H2.2. 〈-1/3.

关键词： bifractional Brownian motion collision local time intersection local time chaos expansion

Decay of geometry for unimodal maps:The C^2.case

在线全文

学校读者我要写书评

暂无评论

Chinese Science Bulletin 2009年第11期54卷 1859-1862页

作者： SHEN WeiXiao1,2.1 department of mathematics, {2. of Science and Technology of china, hefei 2.002., china 2.department of mathematics, National {2. of Singapore, Singapore 117543, Singapore department of mathematics University of Science and Technology of China Hefei 230026 China department of mathematics National University of Singapore Singapore 117543 Singapore

We prove that a C2.unimodal interval map with critical order not greater than 2.has the decay of geometry property, by showing that all the cross-ratio estimates needed in the previous proof for the C3 case remain true.

关键词：衰变几何图案件几何性质比率估计证明

Two-dimensional simulation of Poiseuille-Rayleigh-Bénard flows in binary fluids with Soret effect

在线全文

学校读者我要写书评

暂无评论

Progress in Natural Science:Materials International 2007年第12期17卷 1389-1396页

作者： Hu Jun1 and Yin Xieyuan2.1. Institute of Applied Physics and Computational mathematics, Beijing 100088, china 2. {2. of Modern Mechanics, university of Science and Technology of china, hefei 2.002., china) Institute of Applied Physics and Computational mathematics Beijing 100088 China department of Modern Mechanics University of Science and Technology of China Hefei 230027 China

Poiseuille-Rayleigh-Bénard flows in binary fluids with Soret effect are directly simulated by a mixed finite element method. A temperature perturbation is used as an initial disturbed source for the basic parallel flows. The whole spatio-temporal evolution of the binary fluid flows is exhibited: initially only the disturbed mode with the wavenumber k=π is amplified while others are damped, and continuously the amplified mode grows further and the nonlinear effect becomes important; after a nonlinear evolution transition the flow system evolves finally into a periodic right traveling wave.

关键词： Poiseuille-Rayleigh-Bénard flow Soret effect through-flow.