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On homotopy regular monomorphisms

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Chinese Science Bulletin 1998年第1期43卷 27-30页

作者： CHEN Jixiang Department of Mathematics, nankai university, tianjin 3.0071,{2. Department of Mathematics Nankai University Tianjin China

A concept of homotopy regular monomorphism is introduced which is strictly between homotopy monomorphism and homotopy equivalence. And it characterizes homotopy equivalence in some sense.

关键词： homotopy monomorphism homotopy equalizer homotopy regular monomorphism homotopy pull back.

K-quasi-additive fuzzy integrals of set-valued mappings

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Progress in Natural Science:Materials International 2006年第2期16卷 125-132页

作者： WANG Guijun and LI Xiaoping ( school of Mathematics Science, tianjin Normal {2., tianjin 300074, china school of Management, tianjin Normal {2., tianjin 300074, china) school of Mathematics Science Tianjin Normal University Tianjin 300074 China school of Management Tianjin Normal University Tianjin 300074 China

We first define the quasi-addition and quasi-multiplication operations by introducing the inductive operator, and then, in the K-quasi-additive fuzzy measure space, we establish the K-quasi-additive fuzzy integral of a generally measurable set-valued mapping. Applying the integral transformation theorem, some basic properties of the K-quasi-additive fuzzy integrals with respect to this kind of set-valued mapping are studied. Finally, the generalized monotone convergence theorems of this kind of fuzzy integrals are obtained.

关键词： set-valued mapping inductive operator integrable selections K-quasi-additive fuzzy integrals.

THE FULL DISCRETE DISCONTINUOUS FINITE ELEMENT ANALYSIS FOR FIRST-ORDER LINEAR HYPERBOLICEQUATION

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Journal of Computational Mathematics 1999年第1期17卷 97-112页

作者： Che Sun Shu-jie Qin(Department of Mathematics, nankai university, tianjin 3.0071,{2.) Department of Mathematics Nankai University Tianjin 300071 China

In this paper, the full discrete discontinuous Galerkin finite element method to solove 2.dimensional first-order linear hyperbolic problem is considered. Two practical schemes, Euler scheme and Crank-Nicolson scheme, are constructed. For each of them, the stability and error estimation with optimal order approximation is established in the norm stronger than L-2.norm.

关键词： hyperbolic equation discontinuous FEM Euler scheme

Two applications of generalized Carleson measures to meromorphic Besov-type spaces

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Chinese Science Bulletin 1998年第15期43卷 1260-1264页

作者： TAN Haiou 1 and XIAO Jie 2.1. Department of Mathematics, Wuyi university, Jiangmen 52.02., china 2. {2. of mathematical Sciences, Peking university, Beijing 100871, china Department of Mathematics Wuyi University Jiangmen China school of mathematical Sciences Peking University Beijing China

The generalized Carleson measures are used to characterize the meromorphic Besov_type spaces and to explore some inclusions between these spaces.

关键词： generalized Carleson measures meromorphic Besov_type spaces.

Quality evaluation for air plasma spray thermal barrier coatings with pulsed thermography

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Progress in Natural Science:Materials International 2011年第4期21卷 301-306页

作者： Shi-bin ZHAO~1,Cun-lin ZHANG~2.Nai-ming WU~3,Hua-ming WANG~1 1.school of Materials Science and Engineering,Beihang university,Beijing 100191,{2. 2.Department of Physics,Capital Normal university,Beijing 100048,{2. 3.school of Jet Propulsion,Beihang university,Beijing 100191,{2. school of Materials Science and Engineering Beihang University Beijing 100191 China Department of Physics Capital Normal University Beijing 100048 China school of Jet Propulsion Beihang University Beijing 100191 China

Pulsed thermography(PT) as a non-contact non-destructive evaluation(NDE) technique was employed to examine as-sprayed air plasma spray(APS) thermal barrier coatings(TBCs) for quality *** and micro-structural characteristics play a vital role in determining the *** this paper,PT logarithmic peak second-derivative method was adopted to measure the thickness of top *** dependent thermal images were used to characterize the microstructure which was confirmed by scanning electron microscope(SEM).The results showed that there was relationship between the temperature distribution of the surface and microstructure change in *** distribution in thermal images and measurement results of thickness were in fairly good agreement with the microstructure *** can be concluded that it was possible to employ these NDE methods as quality evaluation for as-sprayed TBCs.

关键词： thermal barrier coatings(TBCs) non-destructive evaluation(NDE) pulsed thermography microstructure thickness measurement

Twisted exponential sums of polynomials in one variable

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Science china Mathematics 2010年第9期53卷 2395-2404页

作者： LIU ChunLei1,& LIU WenXin2.3 1Department of Mathematics,Shanghai Jiao Tong university,Shanghai 2.02.0,china 2.epartment of Fundamental Subject,{2. Institute of Urban Construction,{2. 300384,china 3school of mathematical Sciences,Beijing Normal university,Beijing 100875,china Department of Mathematics Shanghai Jiao Tong University Shanghai China Department of Fundamental Subject Tianjin Institute of Urban Construction Tianjin China school of mathematical Sciences Beijing Normal University Beijing China

The twisted T-adic exponential sums associated to a polynomial in one variable are *** explicit arithmetic polygon in terms of the highest two exponents of the polynomial is proved to be a lower bound of the Newton polygon of the C-function of the twisted T-adic exponential *** bound gives lower bounds for the Newton polygon of the L-function of twisted p-power order exponential sums.

关键词： exponential sum L-function Newton polygon

双向凝视：快门与心灵的旅程意大利摄影师埃琳娜·吉沃尼重庆南开两江中学艺术访问之旅

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重庆与世界 2024年第6期 62-63页

作者： Chongqing nankai Liangjiang Secondary school 重庆南开两江中学

3月12.至13日，意大利摄影师埃琳娜·吉沃尼访问重庆南开两江中学，为她的摄影全球项目“在寻常中发现非凡”取材，并开启一段文化艺术探索和交流之旅。两天时间里，埃琳娜通过互动研讨会、讲座及实践摄影课程，分享了她对“实践梦想...

3月12.至13日，意大利摄影师埃琳娜·吉沃尼访问重庆南开两江中学，为她的摄影全球项目“在寻常中发现非凡”取材，并开启一段文化艺术探索和交流之旅。两天时间里，埃琳娜通过互动研讨会、讲座及实践摄影课程，分享了她对“实践梦想”的独特见解。拥有全球视野、多元教育理念和美丽校园的重庆南开两江中学，为埃琳娜的创作提供了丰富的灵感。她以镜头为笔，以照片为语，讲述关于梦想、艺术和人生的美丽故事，也让南开两江中学的师生领略到了摄影艺术的魅力。

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INFINITE ELEMENT METHOD FOR THE EXTERIOR PROBLEMS OF THE HELMHOLTZ EQUATIONS

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Journal of Computational Mathematics 2000年第6期18卷 657-672页

作者： Lung-an Ying (school of mathematical Sciences, Peking {2., Beijing 100871, china) 北京大学北京 100871

There are two cases of the exterior problems of the Helmholtz equation. If λ ≥ 0 the bilinear form is coercive, and if λ < 0 it is the scattering problem. We give a new approach of the infinite element method, which enables us to solve these exterior problems as well as corner problems. A numerical example of the scattering problem is given. [ABSTRACT FROM AUTHOR]

关键词： Helmholtz equation exterior problem infinite element method

The isometric extension of “into” mappings on unit spheres of AL-spaces

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Science china Mathematics 2008年第10期51卷 1904-1918页

作者： DING GuangGui school of Mathematics Science, Chern Institute of Mathematics and LPMC, nankai university,{2., china school of Mathematics Science Chern Institute of Mathematics and LPMC Nankai University Tianjin China

In this paper, we show that if V0 is an isometric mapping from the unit sphere of an AL-space onto the unit sphere of a Banach space E, then V0 can be extended to a linear isometry defined on the whole space.

关键词： isometric extension (atomic) AL-space