NEW WAVELET BASES FOR NON－HOMOGENEOUS SYMBOLIC SPACE OpS1,1^m AND RELATED KERNEL－DISTRIBUTION SPACES

This paper constructs several classes of new wavelet bases, which are unconditional bases for related operator spaces. Using these bases, the author analyzes non-homogeneous symbolic space OpSm1,1 and two related kernel-distribution spaces, and characterizes them in two wavelet coefficients spaces. Besides, some properties for singular integral operators are studied.     

模糊对向传播网络数据融合目标识别方法

重点研究了模糊对向传播网络 (FCPN)模型。针对数据融合和目标识别的特点 ,提出了基于模糊对向传播网络的融合目标识别方法和改进的模糊对向传播网络 (MFCPN)融合结构。利用仿真数据对网络的训练算法和融合结构进行了实验研究。结果表明 ,模糊对向传播网络较误差后向传播网络 (BPN)能够有效地实现融合识别 ;改进的模糊对向传播网络融合结构是可行的。同时还对FCPN和MFCPN应用于前视红外 (FLIR)和可见光摄像机目标跟踪系统进行了应用研究。     

BOUNDEDNESS OF MAXIMAL SINGULAR INTEGRALS

The authors study the singular integrals under the Hormander condition and the measure not satisfying the doubling condition. At first, if the corresponding singular integral is bounded from L2 to itself, it is proved that the maximal singular integral is bounded from L∞to RBMO except that it is infinite μ-a.e. on Rd. A sufficient condition and a necessary condition such that the maximal singular integral is bounded from L2 to itself are also obtained. There is a small gap between the two conditions.     

综合题新编选登：题136

函数f(x)对一切实数x，y均有f(x y)-f(Y)=x(x 2y 1)成立，且f(1)=0．     

Structural Characteristics of Liquid Sn

We investigate the structural properties of liquid Sn. With the help of the internal friction (tanФ) method, it is found that a peak appears in the tan Ф - T curve, suggesting that an anomalous discontinuous temperatureinduced structure change may take place in liquid Sn. From the experimental data of pair distribution functions, we calculate the viscosity η and the excess entropy S and it is found that there are a peak of viscosity in the η-T curve and a bend of excess entropy in the S - T curve, which give a positive support to the appearance of the internal-friction peak in the tan Ф- T curve.     

对求解非线性方程方法的探索

BaiCL在2001年提出了双曲函数法，并把解设成具体的双曲函数，即sinhw和coshw的线性组合．本文把解设成是由2个函数f(ξ)和g(ξ)组成的线性组合，它们可以有多种取法，从而使方程更直接、更有效．借助数学软件Maple，用改进后的方法和吴文俊消元法，求解Bai C L文中的一个例子，获得了包含Bai文结果在内的更为丰富、精确的行波解．     

矩阵损失下回归系数的线性估计的可容许性

针对广义的Gauss-Markoff模型Y=Xβ+θ,E(θ)=0,Cov(θ)=σ2V,其中X和V＞0是已知的n×p和n×n矩阵;β∈Rp和σ2＞0是未知参数,给出了矩阵损失条件下,Sβ的估计LY+a在非齐次线性估计类中可容许的充要条件.     

流动注射荧光光度法研究β-环糊精与吉非罗齐的超分子作用机理及其分析应用

吉非罗齐(Gemfibrozil),化学名为2,2-二甲基-5-(2,5-二甲苯氧基)戊酸,是一种纤维素苯氧芳酸衍生物降脂药,既可降低胆固醇、甘油三酯,又可提升高密度脂蛋白胆固醇水平之双重功效,可视为国内新型高效血脂调节剂之一,降脂作用快,疗效确切,对防治动脉粥样硬化和降低冠心病的发病率及死亡率也有一定作用[1～3].目前,用于吉非罗齐含量测定的方法与技术有高效液相色谱法[4],气相色谱法[5],但其操作繁琐,且灵敏度欠佳.荧光分析法具有灵敏度高,选择性好,方法简捷,重现性好,取样量少,仪器设备简单等优点,广泛应用于生物样品、环境样品、药物等分析与检测.流动注射分析是70年代中期诞生并迅速发展起来的溶液自动在线处理及测定的现代分析技术.它具有微量、密闭、重现性好和快速的优点,且具有广泛的适应性,可与多种检测手段连用,受到越来越多研究者的重视[6,7].因此,建立一种简便、快捷、选择性好、灵敏度高的流动注射荧光光度法用于吉非罗齐的定量分析将极具分析应用价值.本文利用流动注射荧光光度法研究了β-环糊精与吉非罗齐间的超分子相互作用,结果表明β-环糊精、吉非罗齐可形成11的超分子包和物,室温下表观结合常数为7.57×102L/mol.利用水相中β-环糊精对吉非罗齐的荧光增敏作用,建立了水溶液中高灵敏度测定吉非罗齐的流动注射荧光光度法,线性范围为0.032～70μg/mL.检出限为0.96 ng/mL,每小时进样80次.常用片剂赋形剂对测定不产生干扰,应用本法测定药物制剂和血清样中吉非罗齐的含量.