关于最小二乘法估计量性质的一个注记

本文指出了文献[1]中最小二乘法估计量性质证明过程中的不妥之处，并且给出了正确的证明方法。     

关于Erceg伪度量与点式伪度量的一点注记

In [6],it is proved that Erceg's pseudo-metric and pointwise pseudo-metric presented by Shi are equivalent.In this paper,it is proved that Theorem 1 in[6] is wrong.Further it is proved that Erceg's pseudo-metric and pointwise pseudo-metric are not equivalent in the sense of topology.     

关于亲和数的一个注记

本文研究了一类整数序列(2n)2n 1的某些性质,利用费玛数和数论函数的某些性质,获得了验证此类整数是否是亲和数和完全数的方法,既不与其他正整数构成亲和数对也不是完全数.     

关于粘性热传导流体可压缩Navier-Stokes方程的最大吸引子的注记

This paper is concerned with the existence of maximal attractors in H^i (i=1,2,4) for the compressible Navier-Stokes equations for a polytropic viscous heat conductive ideal gas in bounded annular domains Ωn in R^n(n=2,3).     

一类串行生产线的最优调度问题的注记

本讨论了[1]中串行生产线最优调度问题，给出了生产线生产周期的显示公式，对两个变量时最优调度的解的特性进行了研究。     

Notes on Homoclinic Solutions of the Steady Swift-Hohenberg Equation

This paper considers the steady Swift-Hohenberg equation u＇＇＇＋β2u＇＇＋u^3-u=0.Using the dynamic approach, the authors prove that it has a homoclinic solution for each β∈ （4√8-ε0,4 √8）, where ε0 is a small positive constant. This slightly complements Santra and Wei＇s result [Santra, S. and Wei, J., Homoclinic solutions for fourth order traveling wave equations, SIAM J. Math. Anal., 41, 2009, 2038-2056], which stated that it admits a homoclinic solution for each β∈C （0,β0） where β0 = 0.9342 ....     

关于弱散逸多值映射的不动点定理的一个注记

J. P. Aubin和J. siegel[1]提出了弱散逸多值映射的不动点问题。本文对这个问题给出了一个注记。     

A note on parameter estimations of panel vector autoregressive models with intercorrelation

This note considers parameter estimation for panel vector autoregressive models with intercorrelation. Conditional least squares estimators are derived and the asymptotic normality is established. A simulation is carried out for illustration.     

对一篇学生习作的三点注记

今对张朕、蒙业成同学的习作《从直角三角形到直角四面体的类比》（本刊2008年3月上期）补充三点注记,供大家参考．     

A NOTE ON MORI-TANAKA＇S METHOD

Explicit expressions of Mori-Tanaka＇s tensor for a transversely isotropic fiber rein- forced UD composite are presented. Closed-form formulae for the effective elastic properties of the composite are obtained. In a 3D sense, the resulting compliance tensor of the composite is symmetric. Nevertheless, the 2D compliance tensor based on a deteriorated Mori-Tanaka＇s tensor is not symmetric. Nor is the compliance tensor defined upon a deteriorated 2D Eshelby＇s tensor. The in-plane effective elastic properties given by those three approaches are different. A detailed comparison between the predicted results obtained from those approaches with experimental data available for a number of UD composites is made.