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A theorem on the transcendency of a function

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Chinese Science Bulletin 1998年第1期43卷 24-27页

作者： YU Xiuyuan hangzhou teachers college, hangzhou 310012, China hangzhou teachers college Hangzhou China

For the transcendency of the limit of a sequence of algebraical functions, a theorem is given.

关键词： algebraical functions limit transcendency.

INTERPLAY BETWEEN FRENKEL EXCITONS AND PHOTONS

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厦门大学学报（自然科学版） 1993年第S2期32卷 109-114页

作者： Li Baoxing(Physics Department, hangzhou teachers’ college 310012) 杭州师范学院浙江杭州

We investigate the effect of photons and phonons on Frenkel exciton spectrum. The Hamilto nian for a coupled system of the Frenkel excitons. the photons and the phonons is derived. The phonon-exciton interaction makes the energy band of the Frenkel excitons narrow. The photons and the Frenkel excitons make up Frenkel exciton polaritons which are quasi-particles. The Frenkel exciton polariton spectrum consists of two branches. It is found that the photon-exciton interaction makes the ground energy of the Frenkel excitons increase.

关键词： exciton Frenkel phonon branches Hamiltonian photon narrow quasi operators insulating

Effective generalized equations of secure hyperelliptic curve digital signature algorithms

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The Journal of China Universities of Posts and Telecommunications 2010年第2期17卷 100-108,115页

作者： YOU Lin ,SANG Yong-xuan college of Communication Engineering,hangzhou Dianzi University,hangzhou 310018,China [a] college of Communication Engineering Hangzhou Dianzi University Hangzhou 310018 China

A hyperelliptic curve digital signature algorithm （HECDSA） can be viewed as the hyperelliptic curve analogue of the standard digital signature algorithm （DSA）. This article discusses divisor evaluations, the basic HECDSA, variants, two HECDSA equations and a 4-tuple HECDSA scheme, and puts forward a generalized equation for HECDSA. From this generalized equation, seven general HECDSA types are derived based on the efficiency requirements. Meanwhile, the securities of these general HECDSA types are analyzed in detail.

关键词： hyperelliptic curve digital signature algorithm generalized equation hyperelliptic curve discrete logarithm problem

The best quadrature based on given Hermite information for the Sobolev class KW^r[a,b]

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Science China Mathematics 2006年第8期49卷 1146-1152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 310028 China Department of Mathematics Hangzhou Normal College Hangzhou 310036 China

As usual, denote by KWr[a,b] the Sobolev class consisting of every function whose (r-1)th derivative is absolutely continuous on the interval [a,b] and rth derivative is bounded by K a.e. In [a,b]. For a function f ∈ KWr[a,b], its values and derivatives up to r-1 order at a set of nodes x are known. These values are said to be the given Hermite *** work reports the results on the best quadrature based on the given Hermite information for the class KWr[a,b]. Existence and concrete construction issue of the best quadrature are settled down by a perfect spline interpolation. It turns out that the best quadrature depends on a system of algebraic equations satisfied by a set of free nodes of the interpolation perfect spline. From our another new result, it is shown that the system can be converted in a closed form to two single-variable polynomial equations, each being of degree approximately r/2. As a by-product,the best interpolation formula for the class KWr[a,b] is also obtained.

关键词： Sobolev class, Hermite information, perfect spline, optimal recovery, best quadrature.

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

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.

CONSTRUCTION OF FINITE MONOIDS (Ⅳ)

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Chinese Science Bulletin 1989年第23期34卷 1937-1940页

作者：鲍家翔 . Let μand φdenote the M?bius function and the Euler function respectively. Let |G:H| denote the index of the subgroup H of the group G.

In this report, let [α] denote the integer part of a real number α, and {α}=α-[α]. Let μ and φ denote the M?bius function and the Euler function, respectively. Let |G:H| denote the index of the subgroup H of th... 详细信息

关键词： action generating transitive subgroup fibers

On optimal binary signed digit representations of integers

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Applied Mathematics(A Journal of Chinese Universities) 2010年第3期25卷 331-340页

作者： WU Ting ZHANG Min DU Huan-qiang WANG Rong-bo college of Computer Science, hangzhou Dianzi University, hangzhou 310018, China college of Computer Science Hangzhou Dianzi University Hangzhou China

Binary signed digit representation （BSD-R） of an integer is widely used in computer arithmetic, cryptography and digital signal processing. This paper studies what the exact number of optimal BSD-R of an integer is ... 详细信息

关键词： Optimal binary signed digit representation non-oxljacent form Fibonacci numbers.

NECESSARY AND SUFFICIENT CONDITION OF THE STRONG CONVERGENCE FOR TWO FINITE FAMILIES OF UNIFORMLY L-LIPSCHITZIAN MAPPINGS

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Acta Mathematica Scientia 2011年第5期31卷 2058-2066页

作者：谷峰 Institute of Applied Mathematics and Department of Mathematics hangzhou Teacher's college

The purpose of this paper is to study necessary and su？cient condition for the strong convergence of a new parallel iterative algorithm with errors for two finite families of uniformly L-Lipschitzian mappings in Bana... 详细信息

关键词： asymptotically pseudo-contractive mapping uniformly L-Lipschitzian map- ping parallel iterative algorithm

Neuroprotective effect of ONO-1078, a leukotriene receptor antagonist, on transient global cerebral ischemia in rats

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Acta Pharmacologica Sinica 2003年第12期24卷 67-73页

作者： ZHANG Li-Hui~(2,3), WEI Er-Qing~(2,4) ~2Department of Pharmacology, School of Medicine, Zhejiang University, hangzhou 310031 ~3Medical School, hangzhou teachers college, hangzhou 310012, China Department of Pharmacology School of Medicine Zhejiang University Hangzhou 310031 China

AIM: To determine whether ONO-1078 {pranlukast, 4-oxo-8-[p-(4-phenylbutyloxy)benzoyl-amono]-2-(tetrazol-5-yl)-4H-1-benzopyran hemihydrate}, a potent leukotriene receptor antagonist, possesses a neuroprotective effect on global cerebral ischemia in rats, and to explore its possible mechanism of action. METHODS: Transient global cerebral ischemia was induced by four-vessel occlusion for 10 min and followed by 72-h reperfusion. ONO-1078 (0.03-0.3 mg/kg) and edaravone (MCI-186, 3-methyl-1-phenyl-2-pyrazolin-5-one, a neuroprotective agent) 10 mg/kg were ip injected 30 min before ischemia and 1 h after reperfusion, and once a day afterward. Neurological outcome was evaluated before ischemia and 24, 48, 72 h after reperfusion. Neuron density, the expressions of N-methyl-Daspartate (NMDA) receptor subunit proteins (NR1, NR2A, NA2B) and vascular cell adhesion molecule 1(VCAM-1) in the cerebral cortex and hippocampus were measured at 72 h after reperfusion. RESULTS: ONO-1078 (0.1, 0.3 mg/kg) and edaravone (10 mg/

关键词： ONO-1078 brain ischemia leukotriene antagonists neuroprotective agents N-methyl-D-aspartate receptors vascular cell adhesion molecule-1