一些Hermite-Fejér算子的逼近度

Jacobi多项式是在[-1,1]上以(1-x)~α(1 x)~β(α,β>-1)为权的正交多项式,通常记作J_x~(α,β)(x)_0.当其零点作插值节点时,Hermite-Fejer算子     

关于环面上的由微分方程所确定的曲线

本文旨在解决普安凯来(Poincare)在他有名的关於实变数微分方程的论文中曾经提出伹悬而未决的一个问题。普安凯来自己限制于全纯微分系数(对于环面上的笛氏坐标言且是有理的)的假定之下。实则这一过强的性质对于普安凯来所提出的问题全非必要。在比较简单且足够普遍的条件下,我重新得到这位著名几何家的理论,使得普安凯来所发现的若干现象得以出现。以次我在假设中次第引入两条限制而考察与之相对应的结果,并且,作为本文的主要目的,我证明普安凯来曾认为或可出现的一种奇异情况不可能得到。     

高压液封直拉法生长GaP单晶

利用国产ZFL 018型高压单晶炉和液封直拉(LEC)法生长了掺碲(硫)GaP单晶,其常温电学参数为;nTe,s～(2～15)×1017cm-3;μn～(86～134)cm2/sv;位错密度(1～4)×104cm-2。     

恒温器径向温度不均匀性对低温温度计精密校验影响的估计

在分析低温温度计的校验误差时,需要估计温度不均匀性的影响.本文提出一个估计这种影响的方法.若使用同一型号的两支电阻温度计进行测试,则径向温度理想均匀的必要条件是两温度计的电阻比不因温度起伏而变化,充分条件是两温度计所处部位之间无同步温差.分析测试数据对这两个条件的偏离,就可以估计出温度不均匀性的影响.文中给出方法应用实例,并对实验条件进行讨论.     

Efficient quantum secure communication with a publicly known key

This paper presents a simple way for an eavesdropper to eavesdrop freely the secret message in the experimental realization of quantum communication protocol proposed by Beige et al （2002 Acta Phys. Pol. A 101 357）. Moreover, it introduces an efficient quantum secure communication protocol based on a publicly known key with decoy photons and two biased bases by modifying the original protocol. The total efficiency of this new protocol is double that of the original one. With a low noise quantum channel, this protocol can be used for transmitting a secret message. At present, this protocol is good for generating a private key efficiently,     

Studies of diamond-like carbon （DLC） films deposited on stainless steel substrate with Si/SiC intermediate layers

In this work, diamond-like carbon （DLC） films were deposited on stainless steel substrates with Si/SiC intermediate layers by combining plasma enhanced sputtering physical vapour deposition （PEUMS-PVD） and microwave electron cyclotron resonance plasma enhanced chemical vapour deposition （MW-ECRPECVD） techniques. The influence of substrate negative self-bias voltage and Si target power on the structure and nano-mechanical behaviour of the DLC films were investigated by Raman spectroscopy, nano-indentation, and the film structural morphology by atomic force microscopy （AFM）. With the increase of deposition bias voltage, the G band shifted to higher wave-number and the integrated intensity ratio ID/IG increased. We considered these as evidences for the development of graphitization in the films. As the substrate negative self-bias voltage increased, particle bombardment function was enhanced and the sp^3-bond carbon density reducing, resulted in the peak values of hardness （H） and elastic modulus （E）. Silicon addition promoted the formation of sp^3 bonding and reduced the hardness. The incorporated Si atoms substituted sp^2- bond carbon atoms in ring structures, which promoted the formation of sp^3-bond. The structural transition from C-C to C-Si bonds resulted in relaxation of the residual stress which led to the decrease of internal stress and hardness. The results of AFM indicated that the films was dense and homogeneous, the roughness of the films was decreased due to the increase of substrate negative self-bias voltage and the Si target power.     

庞加莱于物理学的贡献

 两位华人数学家曹怀东、朱熹平最终破解了“庞加莱猜想”的报道，重新唤起了公众对“数学全才”庞加莱的关注。庞加莱的研究和贡献涉及数学的各个分支，例如函数论、代数拓扑学、阿贝尔函数和代数几何学、数论、代数学、微分方程、非欧几何、渐近级数、概率论等，当代数学不少研究课题都溯源于他的工作。孰不知，除了是一名数学家之外，庞加莱也是一位影响深远的物理学家，他的研究涉及到天文学、光理论、电磁理论、相对论等物理学分支。     

制备工艺对B4C/TiB2/Mo/C陶瓷复合材料力学性能和显微结构的影响

采用热压法制备了80.6?C/11.6%TiB2/4.7%Mo/3%C质量分数陶瓷复合材料,分析了烧结工艺对力学性能和微观结构的影响。烧结温度变化范围是1800~1950℃,保温时间变化范围是15~60m in,烧结压力30~35MPa。当烧结参数为1900℃、45m in、35MPa,B4C/TiB2/Mo/C陶瓷复合材料抗弯强度、硬度、韧性、相对密度分别为705MPa、20.6GPa、3.82MPa.m1/2、98.2%。