两个回归函数相等的Bootstrap检验

两个回归参数相等性检验一直是统计界感兴趣的问题之一．在这篇文章中，四个检验统计量被用于度量两曲线的差异，在原假设下统计量的分布采用向量数据的重复抽样来逼近，并给出了—些模拟结果．     

四则运算速算法简介

速算法，就是灵活运用数学运算的特性、原理和规律，把各种要计算的较繁杂的数，合理改变其计算程序和方法，使之简化，以便迅速计算出结果（得数）的方法。熟练地掌握各种速算法，就能提高计算速度的技巧，从而提高工作和学习效率，对加快社会主义现代化建设有重大意义和作用。     

非均匀散射层矢量辐射传输(VRT)方程高阶散射解的迭代法

将散射介质层在z轴方向划分成薄层，用薄层的一阶散射强度、Fourier变换和迭代方法求解散射介质整层的矢量辐射传输(VRT)方程的高阶散射解.该方法将一阶散射与高阶散射迭代结合起来，计算公式简明，可计算高阶迭代解，计算时间少.计算结果与一层均匀散射介质的VRT方程一阶Mueller矩阵解、半空间均匀散射介质二阶Mueller矩阵解、以及离散坐标-特征值特征矢量法的VRT热辐射的数值解作了全面的比较.提出并讨论了非均匀散射层主动与被动VRT方程的高阶解.本计算程序可以通用于非球形粒子多层结构及非均匀介质的散射和热辐射计算. 关键词： VRT方程 分层 迭代解     

The Pharmacophore Hypothesis of Novel Inhibitors for Aurora A Kinase

A three-dimensional pharmacophore model was developed from a series of inhibitors of Aurora A kinase to discover new potent anti-cancer agents using the HypoGen module in the Catalyst software. The pharmacophore model was developed based on the structure of 20 currently available inhibitors, which were carefully selected from the literature. The best hypothesis （Hypo 1） was defined by four features： one hydrogen-bond donor and three hy- drophobic points, with the best correlation coefficient of 0.909, the lowest rms deviation of 1.563, and the highest cost difference of 99.075. The Hypo 1 was then validated by a test set consisting of 24 compounds and by a cross-validation of 95% confidence level through randomizing the data using the CatScramble program, which suggested that a predictive pharmacophore model had been successfully obtained.     

CdS和CdSe新型纳米结构的高效溶剂热合成

采用快速高效的溶剂热法合成了海星形CdS纳米结构和一维CdSe纳米结构。用XRD、SEM和UV-Vis等表征手段对产物进行了表征，结果表明产物为单一的CdS和CdSe纳米结构，且CdS纳米结构具有良好的分散性，其形成极大地受到pH值影响，而CdSe先形成层状的二维结构、再形成一维纳米结构。     

Viewing the noise propagation mechanism in a unidirectional transition cascade from the perspective of stability

Noise and noise propagation are inevitable and play a constructive role in various biological processes. The stability of cell homeostasis is also a critical issue. In the unidirectional transition cascade of colon cells, stem cells (SCs) are the source. They differentiate into transit-amplifying cells (TACs), and TACs differentiate into fully differentiated cells (FDCs). Two differentiation processes are irreversible. The stability factor is introduced so that the noise propagation mechanism from the perspective of stability is studied according to the noise propagation formulas. It is found that the value of the stability factor corresponding to the minimum noise in FDCs may be the best choice to enable colon cells to maintain high stability and low noise of the cascade. Moreover, for the source cell, the total noise only includes intrinsic noise; for the downstream cell with self-proliferation capability, the total noise mainly depends on its intrinsic noise and transmitted noise from upstream cells, and its intrinsic noise is dominant. For the downstream cell without self-proliferation capability, the total noise is mainly determined by transmitted noises from upstream cells, and there is a minimum value. This work provides a new approach for studying the mechanism of noise propagation while considering the stability of cell homeostasis in biological systems.     

3-LIE BIALGEBRAS

3-Lie algebras have close relationships with many important fields in mathemat- ics and mathematical physics. This article concerns 3-Lie algebras. The concepts of 3-Lie coalgebras and 3-Lie bialgebras are given. The structures of such categories of algebras and the relationships with 3-Lie algebras are studied. And the classification of 4-dimensional 3-Lie coalgebras and 3-dimensional 3-Lie bialgebras over an algebraically closed field of char- acteristic zero are provided.     

基于神经网络的可见光通信系统信道估计方法

针对现有的非对称限幅光正交频分复用（ACO-OFDM）可见光通信（VLC）系统中信道估计方法存在导频数量过大、精度低、估计效率不高的问题,提出一种基于深度神经网络（DNN）的VLC信道估计方法。利用梯度集中化（GC）方法进行模型优化,并采用端到端的方式跟踪信道信息并恢复失真信号。仿真结果表明：所提方法的误码率（BER）和均方误差（MSE）性能均优于传统方法;在使用较少的导频和省略循环前缀（CP）进行信道估计时,所提方法具有更强的鲁棒性。此外,在DNN训练过程中引入GC方法,可以加快网络的收敛速度,提高其优化能力。     

硫酸肼比浊法测定微量硒

依据硒(Ⅳ)在以甘油为稳定剂,盐酸为反应介质的条件下,被过量硫酸肼还原,使体系形成稳定悬浊液的原理,建立了比浊法测定硒的方法。探讨了盐酸用量、甘油用量、反应温度和反应时间以及硫酸肼用量等5个关键因素的影响,确定了最佳测定条件。实验结果表明:大量的共存物质不干扰测定。在选定的实验条件下,线性方程为:ΔA750nm=12.725ρ+0.0076,在2.0×10-4~3.2×10-2mg·m L-1范围内线性关系良好,相关系数(R2)=0.9911,方法的检出限为1.2×10-4mg·m L-1。方法用于测定强化营养盐中总硒,回收率在97.0~103.5%之间,RSD为1.8%。