行为财务之思·行·器

财务并非仅仅是严谨而精确的报表和数字,理性与客观背后,还有着一股不可忽视的无形力量。     

Scale-free Networks with Self-Similarity Degree Exponents

Ravasz et al. structured a deterministic model of a geometrically growing network to describe metabolic networks. Inspired by the model of Ravasz et al., a random model of a geometrically growing network is proposed. It is a model of copying nodes continuously and can better describe metabolic networks than the model of Ravasz et al. Analysis shows that the analytic method based on uniform distributions （i.e., Barabási-Albert method） is not suitable for the analysis of the model and the simulation process is beyond computing power owing to its geometric growth mechanism. The model can be better analyzed by the Poisson process. Results show that the model is scale-free with a self-similarity degree exponent, which is dependent on the common ratio of the growth process and similar to that of fractal networks.     

Banach空间中的拟范均值

在算术平均值和几何平均值的基础上,给出了一种新的平均值—拟算数平均值以及拟几何平均值,并将它们引入到Banach空间进行了讨论.给出了一些定义并在其基础上得到了这几类平均值在Banach空间中的几个有用的性质.     

掺钕三硼酸铋晶体(Nd:BiB_3O_6)的光谱性质

采用顶部籽晶法, 生长了掺钕的新型非线性光学晶体Nd:BiB3O6, 测量了该晶体的折射率, 并拟合了晶体的折射率色散参数. 同时还测量了晶体的室温吸收谱, 并与0.2 mol/L的 NdCl3溶液的室温吸收谱进行了分析比较. 根据Judd-Ofelt理论, 拟合出晶体场唯象强度参数: Ω2 = 0.1776 × 10-20, Ω4 = 0.1282 × 10-20, Ω6 = 0.1357 × 10-20 cm2. 计算了各能级的辐射跃迁几率AJ,J', 荧光辐射寿命τ, 荧光分支比βJ'， 振子强度fJ,J'等. 根据这些光学参量, 讨论了该晶体的部分性能和应用前景.     

Is the Near-Earth Current Sheet Prior to Reconnection Unstable to Tearing Mode？

The tearing mode instability plays a key role in the triggering process of reconnection. The triggering collisionless tearing mode instability has been theoretically and numerically analyzed by many researchers. However, due to the difficulty in obtaining the observational wave number, it is still unknown whether the tearing mode instability can be excited in an actual plasma sheet prior to reconnection onset. Using the data from four Cluster satellites prior to a magnetospheric reconnection event on 13 September 2002, we utilized the wave telescope technique to obtain the wave number which corresponds to the peak of power spectral density. The wavelength is about 18RE and is consistent with previous theoretic and numerical results. After substituting the wave vector and other necessary parameters of the observed current sheet into the triggering condition of tearing mode instability, we find that the near-Earth current sheet prior to reconnection is unstable to tearing mode.     

一道试题的多角度思考

数学思想是人们对数学理论和内容的本质认识，数学方法是数学思想的具体化形式．在中学数学中，我们常用的有转化、化归、函数、方程、数形结合、分类讨论等数学思想．本文通过一道试题的多角度思考，从小题中展现数学思想方法的精妙，从平凡中显现不平凡的数学魅力，让大家体会数学美之所在．     

SiO2@PPy纳米复合微粒的紫外吸收性质研究

通过相关实验和米氏理论计算研究了SiO2@PPy纳米复合微粒的紫外吸收光谱,讨论了二氧化硅核的尺寸、聚吡咯壳的厚度以及氧化程度等因素对纳米复合微粒紫外吸收性质的影响。     

Small Compact Perturbation of Operators in B∞（Ω）

Abstract： We consider an approximation problem related to strongly irreducible operators, that is, does the direct sum of a strongly irreducible operator in B∞（Ω） and certain operator have a small compact perturbation which is a strongly irreducible operator in B∞（Ω）？ In this paper, we prove that the direct sum of any strongly irreducible operator in B∞（Ω） and certain biquasitriangular operator have small compact perturbations which are strongly irreducible operators in B∞（Ω）.     

基于AFS拓扑和FCM的模糊聚类分析

聚类分析是数据挖掘的一个重要研究课题，模糊聚类是聚类分析的一个有效手段。本文在分析AFS方法和FCM算法的基础上，设计了一个基于AFS拓扑和FCM的模糊聚类算法，进行iris数据的聚类实验证明它聚类结果优于传统的FCM聚类算法，具有很好的推广性和实际应用价值。