检索结果-南通市图书馆

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, university of science and technology of china, hefei 230026, china 2 department of mathematics, National university of Singapore, Singapore 117543, Singapore department of mathematics University of Science and Technology of China Hefei China department of mathematics National University of Singapore Singapore 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

A blow-up criterion for classical solutions to the compressible Navier-Stokes equations

在线全文

学校读者我要写书评

暂无评论

science china mathematics 2010年第3期53卷 671-686页

作者： HUANG XiangDi 1 & XIN ZhouPing 2, 1 department of mathematics, university of science and technology of china, hefei 230026, china 2 department of mathematics, The Chinese university of Hong Kong, Hong Kong, china department of mathematics University of Science and Technology of China Hefei China department of mathematics The Chinese University of Hong Kong Hong Kong China

In this paper, we obtain a blow-up criterion for classical solutions to the 3-D compressible Navier-Stokes equations just in terms of the gradient of the velocity, analogous to the Beal-Kato-Majda criterion for the id... 详细信息

关键词： blow-up classical solutions compressible Navier-Stokes

Jackson’s theorem in Q_p spaces

在线全文

学校读者我要写书评

暂无评论

science china mathematics 2010年第2期53卷 367-372页

作者： CHEN YingWei 1 & REN GuangBin 1, 2, 1 department of mathematics, university of science and technology of china, hefei 230026, china 2 department of mathematics, university of Aveiro, P-3810-193 Aveiro, Portugal department of mathematics University of Science and Technology of China Hefei China department of mathematics University of Aveiro Aveiro Portugal

A Jackson type inequality in Q p spaces is established, i.e., for any f (z) = Σ∞ j=0 ajzj ∈ Qp , 0≤p 1, and k-1 ∈ N,where ω(1/k, f, Q p ) is the modulus of continuity in Q p spaces and C(a) is an absolute const... 详细信息

关键词： Q p space BMOA polynomial approximation

The multi-soliton solutions of the CH-γ equation

在线全文

学校读者我要写书评

暂无评论

science china mathematics 2008年第2期51卷 314-320页

作者： CHEN ChunLi~(1+) LI YiShen~2 ZHANG JinE~3 1 department of mathematics,Shanghai Jiaotong university,Shanghai 200240,china 2 department of mathematics,university of science and technology of china,hefei 230026,china 3 SB and SEF,university of Hong Kong,Pokfulam Road,Hong Kong,china department of mathematics Shanghai Jiaotong University Shanghai China department of mathematics University of Science and Technology of China Hefei China SB and SEF University of Hong Kong Hong Kong China

This paper solves the integrable CH-γequation for analytical multiple soliton solutions with the Darboux transformation *** properties of the soliton solutions are different from the CH equation.

关键词： CH-γ equation multi-soliton solutions Darboux transformation 35Q35 35Q51

HARDY-SOBOLEV INEQUALITIES WITH GENERAL WEIGHTS AND REMAINDER TERMS

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2008年第3期28卷 469-478页

作者：陈志辉沈尧天 School of Mathematical sciences South China University of Technology

The Hardy-Sobolev inequality with general weights is established, and it is shown that the constant is optimal. The two weights in this inequality are determined by a Bernoulli equation. In addition, the authors obtain the Hardy-Sobolev inequality with general weights and remainder terms. By choosing special weights, it turns to be many versions of the Hardy-Sobolev inequality and the Caffarelli-Kohn-Nirenberg inequality with remainder terms in the literature.

关键词： Hardy-Sobolev inequality general weight best constant

Weighted estimation of single index models with right censored responses

在线全文

学校读者我要写书评

暂无评论

science china mathematics 2011年第3期54卷 479-514页

作者： WANG YanHua1, LI XiaYan2, WANG QiHua3 & HE ShuYuan4 1School of sciences, Beijing Institute of technology, Beijing 100081, china 2department of mathematics, university of science and technology of china, hefei 230026, china 3Chinese Academy of mathematics and System science, Beijing 100080, china 4School of Mathematical sciences, Capital Normal university, Beijing 100048, china School of sciences Beijing Institute of Technology Beijing China department of mathematics University of Science and Technology of China Hefei China Chinese Academy of mathematics and System science Beijing China School of Mathematical sciences Capital Normal University Beijing China

In this paper, the unknown link function, the direction parameter, and the heteroscedastic variance in single index models are estimated by the random weight method under the random censorship, respectively. The central limit theory and the convergence rate of the law of the iterated logarithm for the estimator of the direction parameter are derived, respectively. The optimal convergence rates for the estimators of the link function and the heteroscedastic variance are obtained. Simulation results support the theoretical results of the paper.

关键词： single index models random censorship central limit theorem law of the iterated logarithm weighted least squares unknown link function

基于预测有效度的组合预测方法冗余信息的判定

在线全文

学校读者我要写书评

暂无评论

数学的实践与认识 2004年第1期34卷 56-64页

作者：陈华友侯定丕南京大学管理科学与工程研究院南京210093 中国科学技术大学数学系合肥230026

基于预测方法有效度的概念 ,建立了考虑预测精度标准差的预测有效度的组合模型 ,提出了几个新的概念 ,给出冗余信息出现的两个判定定理 .并用实例说明判定定理的有效性 .

关键词：有效度预测精度冗余信息组合预测数学期望标准差

THE GROWTH THEOREM FOR STARLIKE MAPPINGS ON BOUNDED STARLIKE CIRCULAR DOMAINS

在线全文

学校读者我要写书评

暂无评论

Chinese Annals of mathematics,Series B 1998年第4期19卷 401-408页

作者： LIU TAISHUN (department of mathematics, university of science and technology of china, hefei 230026, china)REN GUANGBIN (department of mathematics, university of science and technology of china, hefei 230026, china) department of mathematics University of Science and Technology of China Hefei 230026 China

The authors obtain the growth and covering theorem for the class of normalized biholomorphic starlike mappings on bounded starlike circular *** type of domain discussed is rather general, since the domain must be starlike if there exists a normalized biholomorphic starlike mapping on it. In the unit disc, it is just the famous growth and covering theorem for univalent *** theorem successfully realizes the initial idea of H. Cartan about how to extend geometric function theory from one variable to several complex variables.

关键词： Starlike mappings Growth theorem Starlike circular domains

THE BLOCH CONSTANT OF LOCALLY BIHOLOMORPHIC MAPPINGS ON BOUNDED SYMMETRIC DOMAINS

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 271-278页

作者： GONG SHENG(department of mathematics, university of science and technology of china, hefei 230026, china) 中国科学技术大学数学系安徽合肥

The estimations of the bounds of the Bloch constant of locally biholomorphic mappingson irreducible bounded symmetric domains are given. When the domain is a unit circle, theestimation of the lower bounds is just the ... 详细信息

关键词： Bounded symmetric domain Bloch mapping Bloch constant,Locally biholomorphic mapping