Geometric Characterizations for Subgroups of PU（1, n; C）

In this paper, we discuss non-elementary subgroups and discontinuous subgroups of PU(1,n; C), and give their geometric characterizations.     

球体内部三模型

高考中有关球体的考查年年推陈出新,涉及球面上两点,三点,四点的问题考得可谓“淋漓尽致”.这类问题往往围绕球体部分的主要知识点:截面,球面距离,地球经纬度展开.但在一般考生眼中,有关球体的此类问题由于图形的难画而变的抽象难解,往往遇之绕道而行.本文拟将此类问题抽象为三种具体的几何模型,从而使问题简单化,避免解题过程中,由于画不出图而造成的思维受阻.     

STUDY ON SYNTHESIS OF SELF CORSS LINKED POLYSTYRENE LATEX MICROSPHERES

Emulsifier-free emulsion polymerization of styrene in the presence of β-hydroxy propyl acrylate was studied.The emulsifier-free self cross linked polystyrene latex microspheres was obtained.Monomer conversion is higher than 90% when [St],[β-HPA],[KPS] is 2.66,0.228,and 5.8×10^-3mol/L respectively under 80℃ for 5h.The mono-dispersed latex particle diameter and colloidal particle concentration were given as D=0.23um,N=3.13×10^13/cm^3 by TEM analyse,The factors of influencing latex stability were discussed.Thecopolymer was characterized by IR and dissolution experiment.The apparent activation energy of polymerization and polymerization rate constant were obtained to be 78.7KJ/mol and 514.4/mol.s respectively.     

PREPARATION OF POLYMER MICROSPHERES WITH PYRIDYL GROUP AND THEIR STABILIZED GOLD METALLIC COLLOIDS

Narrow disperse poly(ethyleneglycol dimethacrylate-co-4-vinylpyridine)(poly(EGDMA-co-4-VPy))microspheres were prepared by distillation-precipitation copolymerization of ethyleneglycol dimethacrylate(EGDMA)and 4-vinylpyridine (4-VPy)with 2,2'-azobisisobutyronitrile(AIBN)as initiator in neat acetonitrile.The polymer microspheres containing pyridyl group were then utilized as stabilizer for gold metallic colloids with the diameter around 7 nm,which were prepared by the in situ reduction of gold chloride trihydrate with sodium borohydride through the coordination of the pyridyl group on the gel layer and surface of the microsphere with the gold metallic nano-particles.The catalytic properties of the pyridyl- functionalized microsphere-stabilized gold metallic colloids and the behavior of the stabilized-catalyst for the recycling were investigated with reduction of 4-nitrophenol to 4-aminophenol as a model reaction.     

重庆地区露天石刻早期封护材料老化产物及其影响研究

重庆市市委会办公大楼旧址前有一组露天存放的清代砂岩石狮子,表面覆盖着黑色硬壳状物质, 发生大面积脱落,起翘和卷曲。为了揭示黑色硬壳状结构组成,研究其形成过程及对文物产生的影响,利用环境扫描电子显微镜(SEM),X-射线衍射仪(XRD),X-射线荧光光谱仪(XRF),傅里叶变换红外光谱仪(FTIR)和X-射线光电子能谱(XPS)对黑色硬壳及文物表层砂岩样品进行了检测分析研究。结果发现：黑色硬壳断面Mapping元素分布图显示其分为底漆层,中间层和表层,系石刻早期封护层的老化产物;中间层含有立德粉(硫化锌和硫酸钡),黑色外观源于表层中含铅颜料(铅白)变色形成黑色硫化铅及树脂碳化所致;红外光谱与光电子能谱显示出黑色硬壳中含有强的羟基(-OH)特征峰,说明封护层中有机物老化后形成了大量羟基,从而增强了自身亲水性,造成易吸水溶胀与干燥收缩情况,导致大面积脱落,起翘和卷曲现象;黑色硬壳起翘和卷曲部位与下层石刻表面之间形成了易于积水的微空隙,能够聚集雨水中的有害物质,造成石刻表层岩石发生腐蚀,例如黑色硬壳背面及下层岩石表面中高含量硬石膏(CaSO₄),经生水化作用后转化为石膏(CaSO₄·2H₂O),发生体积膨胀造成岩石表面松动和酥粉。因此,当露天文物表面上封护层已老化时,及时地进行清除是十分必要的。     

学一点数学史(续)——谈谈中学数学教师的数学史素养

这就是希尔伯特第 3 问题.希尔伯特第3问题,正是指向了数千年来数学家们一直努力求解的体积理论基础的谜团.     

HITTING TIME AND PLACE TO A SPHERE OR SPHERICAL SHELL FOR BROWNIAN MOTION

61.IntroductionLetX~{X,(w),t20}beastandardd-dimensionalBrownianmotioninR'(d22).ThefirsthittingtimeofXforaBorelsetBinRdisdefinedtobeThefirsthittingplaceisX(TB).InthispapergwemainlyconsiderthesphereZ'--,(0,r)~{x:xERd,lxl~r}andthesphericalshellZ'--,(0,a)UZ'--,(0,b)~{x.xER',lxl=aorlxl~b},wherer>0,a>0,b>0anda相似文献   

聚N-异丙基丙烯酰胺在十二烷基硫酸钠水溶液中的线团球体转变

高分子链在溶液中,当溶剂由良变劣时,将发生线团-球体转变,而同时由于链间聚集造成的相分离,使得很难真正观察到热力学意义上稳定的高分子单链紧缩球体。表面活性剂的加入有助于阻止高分子链间发生聚集,在不同的外部条件下,表面活性剂同高分子链将形成形态迥异且又复杂有趣的复合结构。本文主要讨论了聚N-异丙基丙烯酰胺在十二烷基硫酸钠水溶液体系中的线团-球体转变行为,以及聚N-异丙基丙烯酰胺与十二烷基硫酸钠分子间的相互作用及结构模型。     

Rapid Fabrication of Hollow SiO2 Spheres with Novel Morphology

The hydrolysis of tetraethoxysilane (TEOS) occurred on the surface of poly(methyl methacrylate) (PMMA) microshperes immediately after these microshperes were prepared in TEOS. Micron-sized hollow SiO2 spheres were obtained by calcination of the coated PMMA microshperes. It was found that the final hollow spheres were constituted by small SiO2 particles.