数学中的探索研究和发现

本书是一本关于数学“解题术”的论著，其目的是引导中学生和大学低年级学生通过解数学题提高思维能力和解题技巧，着重培养他们数学学习中的探索精神，以研究解题规律和发现新的问题和结果。     

APPROXIMATION OF CONTINUOUS FUNCTIONS BY GENERALIZED KARAMATA MEANS

A sufficient condition for the order of approximation of a continuous 2π periodic function with a givenmajorant for the modulus of continuity by the [F, d_n] means of its Fourier serier to be of Jackson order isobtained. This sufficient condition is shown to be not enough for the order of approximation by partial sums oftheir Fourier series to be of Jackson order. The error estimate is shown to be the best possible.     

Na2O2体系半经验势能面

硷二聚物与氧反应碰撞的中间络合物是M~ _2X~-离子对(M代表硷原子,X代表氧原子或氧分子)。我们导出了Na~ _2O~-和Na~ _2O~-_2体系最低能量电子态绝热势能面的解析形式。     

ASYMPTOTIC BEHAVIOUR OF THE SOLUTIONS OF A CERTAIN FOURTH-ORDER DIFFERENTIAL EQUATION

The present paper establishes sufficient conditions for the uniformly bounded of any solution of (1.1) and which tend to zero as t → ∞.     

Self-assembling Characteristics of Amphiphilic Star Block Copolymers with a Polyelectrolyte Shell

1 Results Amphiphilic block copolymers are capable of forming supramolecular assemblies resembling those observed in nature,such as spherical micelles,worm micelles,and vesicles.Changing the solvent composition,ionic strength or pH of the polymer solution may induce the self-assembly of block copolymers or trigger the transition between the geometries of noncovalent assemblies.In the current work,we have synthesised starlike amphiphilic block copolymers having hydrophobic poly(methyl methacrylate),PMMA,core,and hydrophilic poly(acrylic acid),PAA,shell.The self-assembling characteristics of these polymers have been investigated in aqueous solutions by light scattering and direct visualisation by cryo-transmission electron microscopy (cryoTEM)[1]. Computer simulations along with the theoretical predictions made for the star-like system based on mean-field theory have been used to support the experimental observations[2]. The association of the starlike macromolecules resembles that of charged biopolymers,such as actin,since a balance between attractive and repulsive forces is required for the formation of cylindrical assemblies and can be manipulated by changing the pH or the ionic strength of the solvent[3].     

纳米尺寸的ZnO晶体高压相变的拉曼散射研究(英文)

Weperformedthehigh-pressureRaman measurementofthethreenanosizedZnOcrystals. Wefoundthesmallerthesize,thehigherthe pressuretoinducethephasetransitionfrom w櫣rzitetorock-saltstructure. High-pressureRamanmeasurementsof nona-shapedZnOcrystalswerepreformed.The…     

热处理对V-4Ti合金氦的滞留与热解吸行为的影响

钒合金由于其低中子诱导的放射性和良好的高温性能被认为是未来聚变堆很有希望的第一壁和结构材料。因为氦可以通过放电清洗和中子嬗变产生，氦的滞留与热释放行为将是钒合金在聚变堆应用的重要课题。A．V．Veen领导的研究小组用1keV的氦离子注入到10^13-10^14He／cm^2的剂量研究了钒合金的氦俘获和热解吸机理以及预退火处理的影响。两群热解吸峰被发现，他们认为一个对应于氦，空位一杂质链，另一个对应于氦，带有钒合金原有的缺陷，如细小的析出物所俘获。既然钒合金原有的缺陷与退火处理有关，热处理对氦在钒合金中的滞留的影响是可以预期的，并且已被实验所证实。     

Terahertz wave tomographic imaging with a Fresnel lens

We demonstrate three-dimensional tomographic imaging using a Fresnel lens with broadband terahertzpulses.Objects at various locations along the beam propagation path are uniquely imaged on the sameimaging plane using a Fresnel lens with different frequencies of the imaging beam.This procedure allowsthe reconstruction of an object's tomographic contrast image by assembling the frequency-dependentimages.