连续幂系数回归在人体血糖无创检测中的应用研究

血糖浓度的准确检测对于糖尿病的治疗具有重要的意义.本文采用连续幂系数回归方法有效地提高了近红外无创检测人体血糖浓度的预测精度.该方法是传统偏最小二乘法(PLS)的扩展,实现简易,且当幂系数选取恰当时,能够明显地提高预测精度.应用该方法分别建立了四成分葡萄糖实验和人体口服葡萄糖实验的定量分析模型,并利用该模型对预测集样本进行预测.实验结果表明,与PLS相比,该方法建立的定量分析模型不仅可以提高预测精度,而且可以针对不同的测量对象没定不同的幂系数以达到最佳的建模效果.根据不同个体灵活地选取幂系数,对于人体血糖浓度近红外无创检测研究具有很大的应用价值.     

牛血清白蛋白与偶氮胂Ⅲ-镱?结合反应及其应用

研究了在酸性溶液中BSA与偶氮胂Ⅲ-镱(Ⅲ)络合物的结合反应.发现加入BSA后偶氮胂Ⅲ-镱?的吸收光谱产生减色效应和红移,探讨了实验条件对结合反应的影响.随着BSA量的增加,650 nm吸收峰线性下降,基于此建立了蛋白质定量分析方法,并运用于实际样品的测定,结果与紫外分光光度法测得的结果吻合.用分光光度法研究BSA与偶氮胂Ⅲ-镱?之间的结合模型,发现结合反应符合Scatchard模型.进一步的研究发现BSA与阳离子表面活性剂、偶氮胂Ⅲ-镱?之间的作用机理相类似.     

具有P?schl-Teller型标量势与矢量势的Klein-Gordon方程和Dirac方程的束缚态

给出了具P?schl-Teller型标量势与矢量势的Klein-Gordon方程和Dirac方程的s波束缚态解. 关键词： P?schl-Teller势 Klein-Gordon方程 Dirac方程 束缚态     

行$\tilde\rho$-混合随机变量阵列加权和的完全收敛性[英文]

本文研究随机变量阵列加权和的完全收敛性问题,我们获得行~ρ-混合随机变量阵列加权和的一个完全收敛性定理. 通过这个定理可以获得一系列结果. 我们所得结果推广 了Baum和Katz(1965), Peligrad和Gut(1999)所得的结果.     

A Quasilinear System Related with the Asymptotic Equation of the Nematic Liquid Crystal’s Director Field*

In this paper, the author studies the local existence of strong solutions and their possible blow-up in time for a quasilinear system describing the interaction of a short wave induced by an electron field with a long wave representing an extension of the motion of the director field in a nematic liquid crystal’s asymptotic model introduced in [Saxton, R. A., Dynamic instability of the liquid crystal director. In: Current Progress in Hyperbolic Systems (Lindquist, W. B., ed.), Contemp. Math., Vol.100, Amer. Math.Soc., Providence, RI, 1989, pp.325–330] and [Hunter, J. K. and Saxton, R. A., Dynamics of director fields, SIAM J. Appl. Math., 51, 1991, 1498–1521] and studied in [Hunter, J. K. and Zheng, Y., On a nonlinear hyperbolic variational equation I, Arch. Rat. Mech. Anal.,129, 1995, 305–353], [Hunter, J. K. and Zheng, Y., On a nonlinear hyperbolic variational equation II, Arch. Rat. Mech. Anal., 129, 1995, 355–383] and in [Zhang, P. and Zheng,Y., On oscillation of an asymptotic equation of a nonlinear variational wave equation,Asymptotic Anal., 18, 1998, 307–327] and, more recently, in [Bressan, A., Zhang, P. and Zheng, Y., Asymptotic variational wave equations, Arch. Rat. Mech. Anal., 183, 2007,163–185].     

二元热传导方程的Phragmén-Lindel?f型二择一结果

考虑了二元热传导方程在半无穷区域上解的渐近性质, 其中在柱体的侧面上施加局部非齐次Neumann条件.这种条件模拟了柱体侧面上的绝热材料受到局部破坏的情形.利用微分不等式技术和能量分析的方法, 得到了热传导模型的Phragmén-Lindel?f型二择一结果     

二维线性色散方程的色散量子化现象

研究了定义在平面有界矩形区域的二维线性KdV方程和二维线性Schr?dinger方程的色散量子化现象.证明了在有理时刻,方程周期初边值问题的解是初值条件的线性组合,而在无理时刻,解呈现类分形,连续不可微的状态.     

Commutators of Littlewood-Paley Operators on Herz Spaces with Variable Exponent

Let ? ∈ L~2(S~(n-1)) be homogeneous function of degree zero and b be BMO functions. In this paper, we obtain some boundedness of the Littlewood-Paley Operators and their higher-order commutators on Herz spaces with variable exponent.     

NONLINEAR EXPECTATIONS AND NONLINEAR MARKOV CHAINS

§1.IntroductionLet(?,F)be a measurable space and let Lb(F)be the space of F-measurable andbounded real functions.A nonlinear expectation is a continuous functionalE[·]:Lb(F)?→Rthat is order preserving(i.e.,E[X1]≥E[X2],if X1≥X2)and constant preserving