ON THE DISTRIBUTION OF VALUES AND DEFICIENT FUNCTION OF A GENERAL RANDOM INTEGRAL FUNCTION

We consider the random power serie8aoIw(z) = ZX.(w)z", (1)n =Owhere {Xn} is a 8equence of complex random variables in a probability spare (Q, F, P).Lemma 1 Supose that {Xn) is independent ai1d that there exists a positive coustallt crsuch thatVn 2 l, o'a: = a'ElXn l' S E'lX.l < oo. (2)Then for w e n, there exists a natural nunther N(w) a.s. such that for n > N(w)IXn(w)l 5 nrrn. (3)If {X.* } is any subsequence Of {X.}, thenP (ltL(lXn*l 2;rru*) = l. (4)Proof When ny = 0,X. = 0 a.s. …     

C~l -G_V TRIVIALITY OF FUNCTION GERMS AND NEWTON POLYHEDRA

We provide estimates on the degree of C l GV determinacy ( G is one of Mather’s groups R or K ) of function germs which are defined on analytic variety V and satisfies a non-degeneracy condition with respect to some Newton polyhedron. The result gives an explicit order such that the C l geometrical structure of a function germ is preserved after higher order perturbations, which generalizes the result on C l G triviality of function germs given by M.A.S.Ruas.     

相变材料接触熔化的研究

对有关相变材料接触熔化的研究成果进行了全面的综述, 内容包括:封闭空间的接 触熔化、围绕热源的接触熔化、滑动接触熔化、滚动接触熔化、冰的压力熔化、接 触熔化的量级分析与修正、由液体边界层内的热扩散引起的熔化、不连续接触点上 熔化与润滑、固体内部传热的影响、玻璃的软化与接触熔化.     

L~p CONTINUITY OF HRMANDER SYMBOL OPERATORS OpS_（0,0） ~m AND NUMERICAL ALGORITHM

If we use Littlewood-Paley decomposition, there is no pseudo-orthogonality for Ho¨rmander symbol operators OpS m 0 , 0 , which is different to the case S m ρ,δ (0 ≤δ < ρ≤ 1). In this paper, we use a special numerical algorithm based on wavelets to study the L p continuity of non infinite smooth operators OpS m 0 , 0 ; in fact, we apply first special wavelets to symbol to get special basic operators, then we regroup all the special basic operators at given scale and prove that such scale operator’s continuity decreases very fast, we sum such scale operators and a symbol operator can be approached by very good compact operators. By correlation of basic operators, we get very exact pseudo-orthogonality and also L 2 → L 2 continuity for scale operators. By considering the influence region of scale operator, we get H 1 (= F 0 , 2 1 ) → L 1 continuity and L ∞→ BMO continuity. By interpolation theorem, we get also L p (= F 0 , 2 p ) → L p continuity for 1 < p < ∞ . Our results are sharp for F 0 , 2 p → L p continuity when 1 ≤ p ≤ 2, that is to say, we find out the exact order of derivations for which the symbols can ensure the resulting operators to be bounded on these spaces.     

电场中Rydberg原子的常数标度能谱方法

标度能谱理论能够简化外场谱及可以经典方法理解原子外场谱而倍受关注。本文报道了用于电场中Rydberg原子常数标度能谱实验研究的装置以及有关的计算机控制、采集及处理系统。该系统对能量E和电场F进行同步控制以保持标度能谱ε=E/F为常数，并成功地得到Rydberg态Sr原子在标度能ε=-3.0时的标度能谱，经过傅里叶变换，获得了电场中Sr原子的电子回归谱。     

Bloch spaces on bounded symmetric domains in complex Banach spaces Dedicated to Professor Sheng GONG on the occasion of his 75th birthday

We give a definition of Bloch space on bounded symmetric domains in arbitrary complex Banach space and prove such function space is a Banach space. The properties such as boundedness, compactness and closed range of composition operators on such Bloch space are studied.     

THE STRUCTURE AND APPROXIMATION OF A.S. SELF-SIMILAR SET

The structure of any a.s. self-similar set K(w) generated by a class of random elements {gn,wσ} taking values in the space of contractive operators is given and the approximation of K(w) by the fixed points {Pn,wσ} of {gn,ow} is obtained. It is useful to generate the fractal in computer.     

Poincaré方程的线性差耦合系统

该文对Poincare方程的线性差耦合系统的同相解及反相解进行研究,得到了同相解稳定的参数区域,并在对角线性差耦合的情形下.对其反相解的存在性及稳定性进行了完整的分析,改进了文[1]的结果.     

微分电位溶出法连续测定人发中锌、铜、铅、镉

本文报道了连续测定人发中痕量锌、铜、铅、镉的微分电位溶出法。实验确定最佳支持电解质组成为1M HAc-0.4M KCl-1.5×10~(-2)M Hg(Ⅱ)。在此体系中测定上述四种元素的分辨率好,峰形好,灵敏度高,重现性好。试验了共存离子的影响,方法干扰少,回收率为96.7～105%,测试范围从ppb到ppm级。     

5种重要农艺性状基因在水稻重组自交系群体中的定位

通过抗病虫害水稻品系“B5”与籼稻品种“明恢63”为亲本进行杂交，得到一个187个F8代的重组自交系群体。利用重组自交系群体构建的分子连锁图，对水稻抽穗期、株高、穗长、剑叶长和剑叶宽的性状进行了QTL分析，分别检测到影响抽穗期、株高、穗长、剑叶长和剑叶宽的农艺性状2、2、4、4、4个QTLs，并分别解释各表型性状总变异的50．6％、74．9％、34．1％、47．3％和46．2‰．其中，控制抽穗期的Hd-6基因，控制株高的Ph7基因和控制剑叶长的Fll-2b基因分别是效应值较大的主效座位，其余的为微效基因座位。相关性状的QTLs大多聚集在染色体的相近或相同区间，表现出成簇分布的现象。这些重要农艺性状的分析，可以为水稻分子标记辅助选择育种提供有用的遗传信息。