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Chinese Science Bulletin 1997年第3期42卷 259-260页

作者： MAI Jiehua and GU Rongbao1.Institute of mathematics, Shantou university, Shantou 515063,{2. 2. department of mathematics, anhui university, hefei 230039,{2. Institute of mathematics Shantou University Shantou China department of mathematics Anhui University Hefei China

IN this letter we discuss the necessary and sufficient condition of C^0 flows on closed surfaces with isolated singular points having the pseudo-orbit tracing property. According to ref. [1], on a closed surface, every minimal set of a C^r(r≥2. flow is trivial, but it is possible for a C^0 flow to contain non-trivial minimal sets. Thus C^0 flows on closed surfaces are more complicated than C^r(r≥2. flows.

关键词： Necessary and sufficient condition of C^0 flows on closed surfaces with isolated singular points having the pseudo-orbit tracing property

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基于标准差的预测有效度的组合预测模型

系统工程学报 2003年第3期18卷 203-210,223页

作者：陈华友侯定丕中国科学技术大学数学系

针对考虑预测精度标准差的预测有效度的组合预测模型,提出了新的优性组合预测、预测方法优超和冗余度的定义.然后探讨了非劣性组合预测以及优性组合预测存在的充分条件,并给出冗余信息出现的一个判定定理.最后也讨论了组合预测模型的新... 详细信息

针对考虑预测精度标准差的预测有效度的组合预测模型,提出了新的优性组合预测、预测方法优超和冗余度的定义.然后探讨了非劣性组合预测以及优性组合预测存在的充分条件,并给出冗余信息出现的一个判定定理.最后也讨论了组合预测模型的新的近似计算方法,给出实例分析,结果令人满意.

关键词：组合预测模型标准差预测有效度目标函数最优化问题

一种结合形状上下文分析的Laplace谱匹配算法

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系统仿真学报 2009年第14期21卷 4345-4350页

作者：唐俊王年梁栋范益政贾兆红安徽大学计算智能与信号处理教育部重点实验室合肥230039 安徽大学数学系合肥230039

提出了一种结合形状上下文分析的Laplace谱匹配算法。工作主要侧重于如何提高Laplace谱匹配算法对点的位置随机抖动的鲁棒性。首先,使用Laplace矩阵的特征向量和特征值以及双随机矩阵的方法计算初始匹配概率。然后,借助于概率松弛算法,... 详细信息

提出了一种结合形状上下文分析的Laplace谱匹配算法。工作主要侧重于如何提高Laplace谱匹配算法对点的位置随机抖动的鲁棒性。首先,使用Laplace矩阵的特征向量和特征值以及双随机矩阵的方法计算初始匹配概率。然后,借助于概率松弛算法,将用形状上下文表示的局部相似性融入Laplace谱匹配算法以优化谱匹配的结果。对真实和合成数据的实验表明该方法具有比较高的精度。

关键词： Laplace谱点模式匹配双随机矩阵形状上下文概率松弛

Generic modules for tilted algebras

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Chinese Science Bulletin 1997年第3期42卷 177-180页

作者： DU Xiannengdepartment of mathematics,{2., hefei 230039, china department of mathematics Anhui University Hefei China

IN the theory of infinite abelian groups, the concepts of torsion-free groups and divisible groups are well known. We know that there exists, up to isomorphism, one and only one abelian group which is both torsion-free and divisible at the same time. This is the additive group Q of the rational numbers. Q plays an important role in the study of infinite-abelian groups. The theory of infinite-dirnensional modules over a finite-dimensional algebra runs similarly to the theory of infinite abelian groups but there are also some substantial differences.

关键词： tilting modules tilted algebras tame hereditary algebras generic modules.

ON　THE　UPPER　ESTIMATES　OF　FUNDAMENTAL　SOLUTIONS　OF　PARABOLIC　EQUATIONS　ON　RIEMANNIAN　MANIFOLDS

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Chinese Annals of mathematics,Series B 1995年第1期16卷 119-130页

作者： LI JIAYU SHAO XIN (Departmellt of mathematics, anhui university,{2., china.Basic department, anhui Agricultural College, hefei 2.0036, china.) anhui UNIV DEPT MATHHEFEI 230039PEOPLES R CHINA anhui AGR COLL DEPT BASICHEFEI 230036PEOPLES R CHINA

The authors first derive the gradient estimates and Harnack inequalties for positive solutions of the equation on(x, t)An(x, t) + b(x, t)' ac(￣, t) + h(x, t)u(x, t) ￣ m ￣ 0on complete Riemannian manifolds, and then derive the upper bounds of any positive L2.undamental solution of the equation when h(x, t) and b(x, t) are independent of t.

关键词： Parabolic equation Gradient estimate Harnack inequality Fundamentalsolution Riemannian manifolds.

NONMRAMETRIC AND SEMIPARAMETRICREGRESSION MODELS WITH LOCALLYGENERALIZED GAUSSIAN ERROR

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

作者： HU Shuhe (department Of mathematics,{2., hefei 230039, 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

A NEW TYPE OF PRONORMAT SUBGROUPS IN CHEVALLEY GROUPS

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Chinese Annals of mathematics,Series B 2001年第2期22卷 243-248页

作者： WANG DENGYIN department of mathematics,{2., hefei 230039, china. 安徽大学安徽合肥 230039

Let L be a simple Lie algebra with irreducible root system. having roots of different length, F be a field of charaCteristic different from 2. G = L(F) be a Chevalley group of type L over F. Denote by Φl the set of all long roots in Φl Set Gl = . It is a subgroup of G generated by all the long root subgroups. This paper determines the pronormality of Gl in G when L is not of type G2.

关键词： Chevalley groups Root systems Pronormal subgroups

Degenerate Semilinear Eliptic Equations with Critical Exponent

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Communications in Mathematical Research 1999年第1期 76-84页

作者： Hu Maolin (department of mathematics,{2., hefei, anhui, 230039)

§１．ＩｎｔｒｏｄｕｃｔｉｏｎＩｎｔｈｉｓｐａｐｅｒ，ｗｅａｒｅｉｎｔｅｒｅｓｔｅｄｉｎｔｈｅｅｘｉｓｔｅｎｃｅ，ｎｏｎｅｘｉｓｔｅｎｃｅｏｆｐｏｓｉｔｉｖｅａｎｄｍｕｌｔｉｐｌｅｓｏｌｕｔｉｏｎｓｔｏｔｈｅｐｒｏｂ... 详细信息

§１．ＩｎｔｒｏｄｕｃｔｉｏｎＩｎｔｈｉｓｐａｐｅｒ，ｗｅａｒｅｉｎｔｅｒｅｓｔｅｄｉｎｔｈｅｅｘｉｓｔｅｎｃｅ，ｎｏｎｅｘｉｓｔｅｎｃｅｏｆｐｏｓｉｔｉｖｅａｎｄｍｕｌｔｉｐｌｅｓｏｌｕｔｉｏｎｓｔｏｔｈｅｐｒｏｂｌｅｍｏｆｄｅｇｅｎｅｒａｔｅｓｅ...

关键词： Degenerate Equation Critical Exponent Multiplicity of Solutions Positive Solution Nonexistence Result

A theoretical model of electrostatic ultrasonic transducers with micro air-gap structure

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Chinese Science Bulletin 1998年第9期43卷 728-731页

作者： GE Lifeng (GE Li-Feng) department of Physics, anhui university,{2., china department of Physics Anhui University Hefei China

A new plate-on-air-spring model (or called short tube or DK model) for modelling the behaviour of electrostatic air-coupled ultrasonic transducers is developed and verified by accurate predictions of natural frequenci... 详细信息

关键词： electrostatic ultrasonic transducer micro air-gap structure modelling.

Characteristic modules of quasi-hereditary algebras with three samples

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Chinese Science Bulletin 1997年第6期42卷 450-454页

作者： ZHANG Pu and LIN Yanan1. department of mathematics, {2. of Science and Technology of china, hefei 2.002., china 2. department of mathematics, Xiamen {2., Xiamen 361005, china department of mathematics University of Science and Technology of China Hefei China department of mathematics Xiamen University Xiamen China

CLINE et al. have introduced the concept of quasi-hereditary algebra, which provided a

关键词： tilting module characteristic module quasi-hereditary algebra.