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TENSOR PRODUCTS OF JACOBSON RADICALS IN NEST ALGEBRAS

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Chinese Annals of mathematics,Series B 2003年第3期24卷 323-330页

作者： DONG ZHE Departinent of mathematics, zhejiang university, hangzhou 310027, china. Institute of mathematics, Fudan university, Shanghai 200433, china. department of mathematics Zhejiang University Hangzhou 310027 China Institute of mathematics Fudan University Shanghai 200433 China

This paper studies the tensor product RN RM of Jacobson radicals in nest algebras, and obtains that RN RM = {T∈B(H1 H2) : T(N M)(?)N_ M_, N∈N,M∈M}; and based on the characterization of rank-one operators in RN RM,i... 详细信息

关键词： Jacobson radical Tensor product Nest algebra

RATIONALITY OF THE OFFSETS TO ALGEBRAIC CURVES AND SURFACES　

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Applied mathematics(A Journal of Chinese Universities) 1994年第3期9卷 265-277页

作者： LU WEI(department of Applied mathematics, zhejiang university, hangzhou 310027) department of Applied mathematics Zhejiang University Hangzhou

ＲＡＴＩＯＮＡＬＩＴＹＯＦＴＨＥＯＦＦＳＥＴＳＴＯＡＬＧＥＢＲＡＩＣＣＵＲＶＥＳＡＮＤＳＵＲＦＡＣＥＳ￥ＬＵＷＥＩ（ＤｅｐａｒｔｍｅｎｔｏｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓ，ＺｈｅｊｉａｎｇＵｎｉｖｅｒｓｉｔｙ，... 详细信息

ＲＡＴＩＯＮＡＬＩＴＹＯＦＴＨＥＯＦＦＳＥＴＳＴＯＡＬＧＥＢＲＡＩＣＣＵＲＶＥＳＡＮＤＳＵＲＦＡＣＥＳ￥ＬＵＷＥＩ（ＤｅｐａｒｔｍｅｎｔｏｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓ，ＺｈｅｊｉａｎｇＵｎｉｖｅｒｓｉｔｙ，Ｈａｎｇｚｈｏｕ３１００２７）Ａｂ...

关键词： offsets genus rational parametrizations algebraic curves and surfaces quadric curves and surfaces cubics.

ON AN ELLIPTIC PROBLEM INVOLVING CRITICAL AND SUBLINEAR GROWTH

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Journal of Systems Science & Complexity 2002年第3期15卷 329-336页

作者： YANG Haitao (department of mathematics, zhejiang university, hangzhou 310027, china) department of mathematics Zhejiang University Hangzhou 310027

In this paper,the author considers an elliptic problem with critical and sublinear *** results about the multiplicity and uniqueness of the positive solutions are given by making use of variational method and bifurcat... 详细信息

关键词： Critical exponent sublinear critical point bifurcation.

SOLUTIONS OF THE EQUATION X^m+y^m=z^m IN SL_2z

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Applied mathematics(A Journal of Chinese Universities) 1995年第3期10卷 357-359页

作者： ZHANG ZHAOJI (department of mathematics, zhejiang university, hangzhou 310027). department of mathematics Zhejiang University Hangzhou

Abstract This paper solves an open problem of Vaserstein. The main result is: the equation xm+ym=zm has a solution in SL2z if and only if m is not divisible by 4 or 6 and m is not congruent to 3 modulo ***: Non-commut... 详细信息

关键词： 11C99 Non-commutative number theory Fermat’s problem GL 2 z SL 2 z

ω-Gorenstein injective modules and dimensions

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Science china mathematics 2011年第3期54卷 421-436页

作者： ZHU HaiYan1,2 & DING NanQing3 1department of mathematics, zhejiang university, zhejiang 310027, china 2department of mathematics, zhejiang university of Technology, zhejiang 310023, china 3department of mathematics, Nanjing university, Nanjing 210093, china department of mathematics Zhejiang University Zhejiang China department of mathematics Zhejiang University of Technology Zhejiang China department of mathematics Nanjing University Nanjing China

Gorenstein injective modules and dimensions have been studied extensively by many authors. In this paper, we investigate Gorenstein injective modules and dimensions relative to a Wakamatsu tilting module.

关键词： Wakamatsu tilting module ω-Gorenstein injective module ω-Gorenstein injective dimension cotilting module

Physically based simulation of Buddha Glory

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Progress in Natural Science:Materials International 2006年第6期16卷 656-662页

作者： LIU Shiguang, WANG Zhangye, GONG Zheng, WANG Changbo and PENG Qunsheng (State Key Laboratory of CAD&CG, zhejiang university, hangzhou 310027, china department of mathematics, zhejiang university, hangzhou 310027, china department of Structure Engineering, Tongji university, Shanghai 200092, china) State Key Laboratory of CAD and CG Zhejiang University Hangzhou 310027 China department of mathematics Zhejiang University Hangzhou 310027 China department of Structure Engineering Tongji University Shanghai 200092 China

This paper proposes a novel method of photorealistic simulation of Buddha Glory, a natural phenomenon of great visual beauty which can be observed in the area of famous Buddhism Holy Lands in china. This phenomenon is mainly caused by back-scattering of water droplets in fog or cloud. To simulate the glory, we first calculate the spectral scatter intensity of glory rings using Mie scattering theory. We then present a new shadow model to determine the deformed shape of the head and body of "Buddha" within the glory ring. The affect of atmospheric parameters such as the solar elevation angles, the density and size of water droplet in fog or cloud on the shape and color of Buddha Glory is also calculated. For rendering, we adopt the method of path scattering integral to generate the whole attenuated scene of Buddha Glory. Compared with the photographs of real Buddha Glory displays, our synthetic results are quite satisfactory.

关键词： natural phenomenon Buddha Glory back-scattering physically based simulation.

Lp integrability of trigonometric series with special varying coefficients

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Applied mathematics:A Journal of Chinese Universities 2009年第4期24卷 402-410页

作者： WEI Bao-rong department of mathematics,hangzhou Normal university,zhejiang 310036,china department of mathematics Hangzhou Normal University Zhejiang China

Very recently,Yu,Le and Zhou introduced the so called Δ*B1 and Δ*B2 conditions,which are generalizations of the monotone *** applying these two new conditions,the author essentially generalizes the classical results of Chen on the necessary and sufficient conditions of the Lp integrability of trigonometric *** fact,the present paper gives the first result on the necessary and sufficient conditions of the Lp integrability of trigonometric series,where coefficients may have diffierent signs.

关键词： Lp integrability trigonometric series special varying coefficients

POLYMERIZATION OF γ-STEARYL-α,l-GLUTAMATE N-CARBOXYANHYDRIDE USING RARE EARTH COORDINATION CATALYSTS

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Chinese Journal of Polymer Science 2000年第4期18卷 369-372页

作者： Xiao-ping Hu Jian Wu Zhi-kang Xu Lin-xian Feng Institute of Polymer Science, zhejiang university, hangzhou 310027, china department of Chemistry, zhejiang university, hangzhou 310027, china 浙江大学浙江杭州

A rare earth coordination system was first investigated as a new type of catalyst for the ring-openingpolymerization of α-amino acid N-carboxyanhydrides (NCAs). The results for the polymerization of γ-stearyl-α,L-glutamate(SLG) NCA using neodymium acetylacetonate (Nd(acac)_3)- or neodymium tris(2-ethylhexylphosphonate) (Nd(P_(204))_3)-triethylaluminum-water as catalysts were compared with those using conventional catalysts. It was found that the helicalpoly(γ-stearyl-L-glutamate) with high molecular weight as well as narrow molecular weight distribution can be obtained inthe presence of Nd(acac)_3/AlEt_3-1/2H_2O. The polymer obtained was characterized by IR and NMR spectroscopy.

关键词： Rare earth coordination catalyst Ring-opening polymerization Polypeptide Poly(γ-stearyl-α,L-glutamate)

On solving equations of algebraic sum of equal powers

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Science china mathematics 2006年第9期49卷 1153-1157页

作者： WANG Xinghua & YANG Shijun department of mathematics, zhejiang university, hangzhou 310028, china department of mathematics, hangzhou Normal College, hangzhou 310036, china department of mathematics Zhejiang University Hangzhou China department of mathematics Hangzhou Normal College Hangzhou China

It is well known that a system of equations of sum of equal powers can be converted to an algebraic equation of higher degree via Newton's identities. This is the Viete-Newton theorem. This work reports the generalizations of the Viete-Newton theorem to a system of equations of algebraic sum of equal powers. By exploiting some facts from algebra and combinatorics,it is shown that a system of equations of algebraic sum of equal powers can be converted in a closed form to two algebraic equations, whose degree sum equals the number of unknowns of the system of equations of algebraic sum of equal powers.

关键词： algebraic sum of equal powers, Newton's identities, system of equations,roots of a polynomial.