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SOME TheRMODYNAMIC PROPERTIES OF Pd-In ALLOYS

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Acta Metallurgica Sinica(English Letters) 1997年第4期10卷 311-317页

作者： YL. Chen(department of Materials Science and Engineering, zhejiang university, hangzhou 310027, china) zhejiang Univ Hangzhou China

Some thermodynamic parnmeters of Pd-In alloys with 2 to 70 at. H indium have been determined in the temperuture range 800 to 1000℃ from e.m.f measurements ongalvanic cells with an onsen-cotzducting solid electrolyte. heats of tnising calculated hem the activities are in excellent agreement with calorimetric data. The relative partial excess hee enengy of indiurn assumes unnsually larpe negative values ap to-174kJ/mol for Pd-rich alloys. Two efficts are discussed to account for the non-idealproperties: The rise Of Fermi enerpy as the valence electron8 of indium enter the 4dand 5sP bands of the alloy and the lattice distortion brought about by the differentmolar volumes of the cofnponents. The rise of the Fermi enerpy, as determlned fromthe activity data, indicates a strict adherence of the alloys to the rigid band model.

关键词： galvanic cell activity data Fermi energy,lattice distortion rigid band model

The G Class of Functions and Its Applications

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Acta Mathematica Sinica,English Series 2000年第3期16卷 455-468页

作者： Shenghong Li department of mathematics,zhejiang university,hangzhou,310027,P.R.chinaXiangao Liu department of mathematics,Fudan university,Shanghai,200433,P.R.china department of mathematics Zhejiang University Hangzhou 310027 P. R. China department of mathematics Fudan University Shanghai 200433 P. R. China

In this paper,we introduce the concept of the G class of functions of the parabolic class, and show the Hlder continuity of the G class of *** introduction *** concept contributes to the proof of the regularity and ex... 详细信息

关键词： Parabolic equation Regularity and existence G class of functions

COMPUTING EIGENVECTORS OF NORMAL MATRICES WITH SIMPLE INVERSE ITERATION

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Journal of Computational mathematics 2003年第5期21卷 657-670页

作者： Zhen-yue Zhang Tiang-wei Ouyang (department of mathematics, zhejiang university, Yuquan Campus, hangzhou 310027, china) department of mathematics Zhejiang University Yuquan Campus Hangzhou 310027

It is well-known that if we have an approximate eigenvalue A of a normal matrix A of order n, a good approximation to the corresponding eigenvector u can be computed by one inverse iteration provided the position, say kmax, of the largest component of u is known. In this paper we give a detailed theoretical analysis to show relations between the eigenvector u and vector Xk, k = 1, … ,n, obtained by simple inverse iteration, i.e., the solution to the system (A - I)x = ek with ek the kth column of the identity matrix I. We prove that under some weak conditions, the index kmax is of some optimal properties related to the smallest residual and smallest approximation error to u in spectral norm and Probenius norm. We also prove that the normalized absolute vector v = |u|/||u|| of u can be approximated by the normalized vector of (||x1||2, … ||xn||2)T- We also give some upper bounds of |u(k)| for those 'optimal' indexes such as Fernando's heuristic for kmax without any assumptions. A stable double orthogonal factorization method and a simpler but may less stable approach are proposed for locating the largest component of u.

关键词： Eigenvector Inverse iteration Accuracy Error estimation.

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

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.

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.

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 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.

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