自适应设计广义线性模型极大拟似然估计的渐近性

在对Fisher信息矩阵的最小特征根最一般的假定,响应变量的矩条件尽可能弱和其它正则条件下,证明了自适应设计广义线性模型中极大拟似然估计的强相合性与渐近正态性,同时给出了强收敛速度.     

基于Bayes方法的诊断模型分析

文中证明了在Bayes框架下,当漂移参数7服从有信息先验时,在相当广泛的统计模型中,数据删除模型(CDM)和均值漂移模型(MSOM)的参数估计不相等,几个数值例子验证了相应的结论.     

刚棒-线团分子的自组装研究进展

超分子化学领域的自组装研究是近年来研究的热点,对这种由一种或多种结构单元自发聚集而成具有一定尺寸和结构的过程研究已经取得了重大进展.以亲水基团和亲脂基团为主要构成单元的两亲性分子在自组装领域中的表现优异于其他分子,其亲水的刚性棒状基团和疏水的柔性线团基团通过不同方法共同构成了各种类型的刚柔两亲性分子,而在水溶液中自组装...     

洋葱色素的提取及抗氧化活性的测定

分别用芬顿（Fenton）反应法和1,1-二苯-2-苦肼基（DPPH）法测定了洋葱色素的抗氧化作用。结果表明,洋葱色素对羟自由基和DPPH自由基均有一定的清除作用,其清除率大小依次为42．4％,58．2％。洋葱色素是十分具有开发利用价值的天然色素。     

微波消解凯氏定氮法快速测定酱油中全氮

研究了凯氏定氮法测定酱油中全氮时样品的微波消解方法,进行了微波消解条件的选择及消解结果精密度试验,并与国家标准方法对比,验证了方法的准确度。试验结果表明,消解完全仪需20min,相对标准偏差均小于2%（n=7）,回收率范围为96%～103%,经t检验,微波溶样法与国家标准凯氏定氮法的测定结果无显著性差异。     

基于VLES模型的振动圆柱数值模拟

本文将一种VLES(Very Large Eddy Simulation)模型引入到动网格数值计算中,并验证了VLES模型用于模拟类似振动圆柱绕流的动边界问题的有效性.数值求解了不同振幅和频率下非稳态振动圆柱绕流问题.研究表明:随着振幅和激励频率的增加,绕圆柱流动涡脱离形式从2S模式转换到2P0模式,再到P+S模式.在...     

Weyl-Ordered Operator Moyal Bracket by Virtue of Method of Integral Within an Weyl Ordered Product of Operators

The Moyal bracket is an exemplification of Weyl's correspondence to formulate quantum mechancis in terms of Wigner function. Here we present a formalism of Weyl-ordered operator Moyal bracket by virtue of the method of integral within a Weyl ordered product of operators and the Weyl ordering operator formula.     

A New Trial Equation Method and Its Applications

As an improved version of trial equation method, a new trial equation method is proposed. Using this method, abundant new exact traveling wave solutions to a high-order KdV-type equation are obtained.     

Extended Riccati Equation Rational Expansion Method and Its Application to Nonlinear Stochastic Evolution Equations

In this work, by means of a new more general ansatz and the symbolic computation system Maple, we extend the Riccati equation rational expansion method [Chaos, Solitons & Fractals 25 (2005) 1019] to uniformly construct a series of stochastic nontravelling wave solutions for nonlinear stochastic evolution equation. To illustrate the effectiveness of our method, we take the stochastic mKdV equation as an example, and successfully construct some new and more general solutions including a series of rational formal nontraveling wave and coefficient functions' soliton-like solutions and trigonometric-like function solutions. The method can also be applied to solve other nonlinear stochastic evolution equation or equations.     

Numerical Study of φ4 Model by Potential Importance Sampling Method

We investigate the phenomena of spontaneous symmetry breaking for φ⁴ model on a square lattice in the parameter space by using the potential importance sampling method, which was proposed by Milchev, Heermann, and Binder [J. Stat. Phys. 44 (1986) 749]. The critical values of the parameters allow us to determine the phase diagram of the model. At the same time, some relevant quantities such as susceptibility and specific heat are also obtained.