置换空间PBBs的序列收敛

本文首先给出置换空间P_BB_s上线性连续泛函的表现定理,进而建立置换空间及其对偶的各种序列收敛定理。这些收敛定理多方面地推广了I.E.Leonard的结果。它们是研究置换空间性质的重要工具。在这篇文章中,我们还讨论了强收敛的“提升”与全函数空间的关系(定理6、9)。从置换空间的某种“提升性质”去研究全函数空间的性质,是不多见的、有趣的。     

关于置换空间PBBS中的Radon-Riesz性质

证明了若有有限逼近的全函数空间B有(C-Ⅱ)性质和等模性质,则置换空间PBBS有Radon-Riesz性质当且仅当每个BS有Radon-Riesz性质,其结果推广了文[4]中Radon-Riesz性质在置换空间上的提升结果.     

置换空间PBBs中的凸性

文献[1-8]圆满地解决了各种凸性从（Bi)到l^p(Bi)的提升问题。置换空间PBBs是比l^p(Bi）更广泛的一类Banach空间。M.A.Smith对置换空间的几种特殊凸性作过讨论。在文[9]中，我们给出置换空间的一系列收敛定理。本文利用这些结果将到置换空间七种凸性的提升定理。它们多方面地推广了空间l^p(Bi）的结果。     

Hardy空间上一类复对称Toeplitz算子

主要分为3部分去研究经典Hardy空间上一类复对称Toeplitz算子.首先在经典的Hardy空间上构造出一类共轭算子，称之为两对置换的共轭算子.其次去完整刻画在这类共轭算子下Toeplitz算子是复对称的结构，利用在Hardy空间上经典正规正交基下Toeplitz算子的矩阵表示去刻画此类复对称Toeplitz算子.最后讨论一种两对置换的共轭算子的特殊情况，当此类共轭算子的两对置换变成一对置换时，完整刻画了Toeplitz算子关于一对置换共轭算子的复对称性，并且通过几个简单的例子来体现在一对置换的共轭算子下Toeplitz算子是复对称的结构.     

PBBS中的G(a)teaux与Frechét可微点

置换空间PBBS是比Banach序列空间lp(Xn)(p≥1)更为广泛的一类Banach空间.本文主要讨论Gteaux可微点与Frecht可微点在PBBS中提升的问题.我们的结论包含了lp(Xn)(p≥1)中相应结果.     

最大线性正形置换及其性质

根据最大线性正形置换可以用于密码体制中非线性置换的构造，利用有限域上的多项式理论以及矩阵理论，研究了最大线性正形置换T的性质．给出了T的幂仍就是最大线性正形置换的充分条件，证明了T的特征多项式为F2上的本原多项式，进一步证明了F2^n为T的不可约空间．     

闭光滑流形上奇异积分的置换公式

证明Bochner-Martinelli型奇异积分在C^n空间中闭光滑流形上的置换公式,从置换公式出发,当密度函数可全纯开拓到区域D内时,证明了相应的合成公式。     

PBBS中的Gateaux与Frechet可微点

置换空间ＰＢＢＳ是比Ｂａｎａｃｈ序列空间ｌｐ（Ｘｎ）（ｐ≤１）更为广泛的一类Ｂａｎａｃｈ空间，本文主要ａｔｅａｕｘ可微点与Ｆｒｅｃｈｅｔ可微点有ＰＢＢＳ中提升的问题，我们的结论包含了ｌｐ（Ｘｎ）（ｐ≥１）中相应结果。     

置换空间PXXn中的弱*序列紧性

主要给出了置换空间PXXn中弱*序列紧性的提升结果:设X是自反Banach空间,则PXXn具有(w)性质当且仅当每个Xn(n=1,2,...)均有(w)性质,它是[7]中Lp(Xn)(1≤p＜∞)等相应结果的推广.     

THE Gteaux AND THE Frechét DIFFERENTIABLE POINTS IN P BB S

置换空间ＰＢＢＳ 是比Ｂａｎａｃｈ 序列空间ｌｐ（Ｘｎ）（ｐ ≥１） 更为广泛的一类Ｂａｎａｃｈ 空间．本文主要讨论Ｇａｔｅａｕｘ 可微点与Ｆｒｅｃｈéｔ可微点在ＰＢＢＳ 中提升的问题．我们的结论包含了ｌｐ（Ｘｎ）（ｐ ≥１） 中相应结果     

Finite Time Ruin Probability with Variable Interest Rate and Extended Regular Variation

Consider an insurance risk model, in which the surplus process satisfies a recursive equation Un=Un-1(1 rn)-Xn for n≥1, where U0=x≥0 is the initial surplus, {rn；n≥1} the interest rate sequence, {Xn；n≥l} the sequence of i. i. d. real-valued random variables with common distribution function F, which denotes the gross loss during the nth year. We investigate the ruin probability within a finite time horizon and give the asymptotic result as x→∞.     

Preparation of Ln3-xEuxS4 （Ln=Ce,Pr, and Nd） ceramics by pressureless sintering

The preparation of ternary rare earth sulfides of Ln3-xEuxS4 （Ln = Ce, Pr, and Nd） ceramics was investigated, and the effect of Eu substitution on Ln3-xEuxS4 ceramics was also studied. Ln3-xEuxS4 powders were synthesized by the sulfurization of their oxide powders using carbon disulfide gas. Ln3-xEuxS4 ceramics were sintered by pressure-less sintering method. All pressureless sintered Ln3-xEuxS4 ceramics crystallized in y-phase. It was found that Eu substitution could improve the density of Ln3-xEuxS4 ceramics. Furthermore, Eu substitution might narrow the optical band gaps of Ln3-xEuxS4 ceramics.     

Superconductivity in Ba1−xSmxFFeAs and Eu1−xSmxFFeAs systems

We synthesized the samples Ba1-xSmxFFeAs and Eu1-xSmxFFeAs with ZrCuSiAs-type structure. These samples were characterized by resistivity and susceptibility. It is found that the substitution of rare earth metal for alkaline earth metal in the two systems suppresses the anomaly in resistivity and induces superconductivity. Superconductivity at 54 K in nominal composition Ba0.5Sm0.5FFeAs and at 51 K for Eu0.5Sm0.5FFeAs is realized, indicating that the superconducting transition temperatures in the iron arsenide fluorides is the same as that in oxypnictides with the same structure.     

红树蚬表型性状对秋季软体部重量的影响效果分析

在广西北部湾随机抽取红树蚬(Polymesoda erosa)171个,测量壳长(X1)、壳宽(X2)、壳高(X3)、活体重量(X4)和软体部重量(Y)5个性状,采用相关分析、通径分析和回归分析等方法研究各表型性状对软体部重量的影响。结果表明,各测量性状间的相关系数均达到了极显著水平(P<0.01);活体重量对软体部重量的直接影响最大,其次为壳长,壳宽和壳高对软体部重量的直接影响不显著(P>0.05)。采用逐步回归分析方法建立估计软体部重量的多元回归方程为:Y=-5.286+0.133 X1+0.012 X3+0.096 X4(R2=0.758,P<0.01)。     

Enhancement of magnetic properties and thermal stability of nanocrystalline (NdDyTb)12.3(FeZrNbCu)81.7B6.0 alloy with Co substitution

The major drawbacks of Nd-Fe-B magnets are relatively low Curie temperature and poor thermal stability. Ribbons with the near stoichiometric 2:14:1 composition of Nd_10.8Dy_0.75Tb_0.75Fe_79.7-xCo_xZr_0.8Nb_0.8Cu_0.4B_6.0 (x=0, 3, 6, 9, 12, 15) were prepared by rapid quenching and subsequent heat treatment. The effect of Co element on the magnetic properties, thermal stability, and microstructure of the ribbons was systematically studied by vibrating sample magnetometer (VSM), thermal magnetic analysis, atomic force microscopy (AFM), and transmission electron microscopy (TEM). It was found that Co substitution was significantly effective in improving the magnetic properties and the thermal stability of nanocrystalline ribbons. Although the intrinsic coercivity decreased from 1308.7 kA/m for x=0 to 817.4 kA/m for x=15, the remanence polarization and maximum energy product increased from 0.839 T and 116.5 kJ/m3 for the Co-free samples to 1.041 T and 155.1 kJ/m3 for the 12at% Co-substituted samples, respectively. About 10 K increase in Curie temperature was observed for the 2:14:1 phase with 1at% Co substitution. The absolute values of temperature coefficients of induction and coercivity were significantly decreased with Co substitution, which may be attractive for high operational temperature applications. The microstructure of nanocrystalline ribbons was slightly refined with Co substitution.     

Some fractal properties of a class of self-similar Markov processes

LetX=(Ω,F,F _t ,X _t , θ _t ,P ^x be a self-similar Markov process on (0, ∞). The exact Hausdorff measure function of the level sets are obtained. An appropriate condition is given under which the self-similar Markov process corresponds to a stable process, and some more fractal properties of the sample path ofX are obtained in this case. Supported by the National Natural Science Foundation of China Huang Lihu: born in March 1972, Ph. D graduate student     

红树植物银叶树果实和种子的形态结构研究

对红树植物银叶树(H er itiera littora lis)的果实和种子进行果形因子:果重(Y)、果长(X1)、果宽(X2)、果厚(X3);果实体积;果实浮力;果实、果壳和种子重量;果壳和种子含水量的测定分析,结果表明:银叶树的果实含水量相对稳定;种子与果壳的重量比例(1.8¨1)较大;果实的浮力与果实体积存在显著正相关性(P<0.05,r=0.2995),1/3的果实具有较强的漂浮能力;银叶树果实的各项形态结构指标相对稳定;果重与果厚达到极显著相关(P<0.01,r=0.3557),与果宽达到显著相关(P<0.05,r=0.3186),与果长无显著相关关系(P>0.05,r=-0.0016),果重与果形因子的线性回归模型为:Y=0.388X2 0.4X3-14.165。     

一类2n次Kolmogorov系统的极限环

研究一类2n次Kolmogorov系统{dx/dt=x(a0-a1x a3x3-a4x4 a5xy2n-1),dy/dt=y(b1x2n-b2),极限环的存在性问题.主要讨论a5＞0和a5＜0两种情形.当a5＞0时,系统在第一象限内不存在极限环;当a5＜0时,得到了平衡点的稳定性态,系统无闭轨的充分条件以及在第一象限内存在稳定极限环的条件.     

On random Taylor series

This paper deals with random Taylor series whose coefficients consist of independent random variables {X _n } with the property: αE ^1/2{|X _n |²}≤E{|X _n |}<∞,E{X _n }=0 (Ån) for some positive constant α. The convergence, growth, and value distribution of the series are investigated. Supported by the National Natural Science Foundation of China (No. 101960433) Ding Xiaoqing: born in Oct. 1958, Doctoral candidate     

玻色型反氢原子结构及氘核PB+1nB0和PF+1nF0结构函数的矩

摘要：根据费米型质子PB^ 1、中子nF^0、电子e^-1的超对称性伴子玻色型PB^ 1nB^0、-↑Ue^-,1↑B粒子,讨论反氢原子的结构,计算费米型氘核PF^ 1nF^0和玻色型氘核PB^ 1nB^0结构函数的矩,结果发现反氢原子的结构与目前观测到费米型反氢原子不同,氘核PB^ 1nB^0结构函数的矩的理论值与实验数据较好相符,PB^ 1nB^0结构函数的矩的计算结果比PB^ 1nF^0要大,增大的值是由于费米型中性矢量反轻子-↑l0F,T结构函数的贡献所致。