浅谈2005年高考数学试卷(全国卷)中的对称思想

近几年来,在高考命题中关于对称的数学命题每年均有体现,如何掌握好并巧妙运用对称的思想方法解题,乃是数学学习应达到的目标。     

论西方社会规制的理由

市场机制对资源配置具备基础性作用,政府有必要进行社会规制。政府进行社会规制有其经济理由和社会理由,经济理由针对的是“市场失灵”所导致的市场效率的损失,社会理由针对的是市场主体对人类“整体利益“的侵害。政府进行社会规制的最终目标是要在保证人类“可生存性”基础上去追求资源配置高效率和社会公平。     

广义(3+1)维KPB方程的对称约化、精确解和守恒律

运用李对称方法得到了(3+1)维Kadomtsev Petviashvili Boussinesq(KPB)方程的对称和约化方程。进而,利用齐次平衡原理和椭圆函数方法得到了方程的精确解。最后,给出了该方程的守恒律。     

非对称条件下品牌形象与商品信息关联性研究

在买方市场业已形成的今天,品牌形象发挥着越来越重要的作用。为此,本文基于信号传递理论,依据实证模型论证品牌形象与商品信息关联性,提出在信息不对称的条件下品牌形象是传递商品性能信息的最佳途径。     

Iris Localization Algorithm Based on Improved Generalized Symmetry Transform

Accuracy and fastness of iris localization are very important in automatic iris recognition. A new fast iris localization algorithm based on improved generalized symmetry transform (GST) was proposed by utilizing iris symmetry. GST was improved in three aspects: 1 ) A new distance weight function is defined. The new weight function, which is effective in iris localization, utilized the characteristic of irises that the iris is a circular object and it has one inner boundary and one outer boundary. 2) Each calculation of the symmetry measurement of a pair of symmetry points was performed by taking one point of a pair as the starting point of the transformation. This is the most important reason for fast iris localization, due to which, repetitious computation was largely excluded. 3) A new phase weight function was proposed to adjust GST to locate circle target much better because the inner part of iris is darker than the outer part. The edge map of iris image was acquired and GST was only implemented on the edge point, which decreased computation without loss of accuracy. The modification of distance weight function and phase weight function leads to the accuracy of localization, and other ideass peed up the localization. Experiments show that the average speed of new algorithm is about 7.0-8.5 times as high as traditional ones including integro-differential operator and Hough transform method.     

企业电气设备的节能运行

在企业电气设备运行中,通过不断研究分析影响电气设备正常运行耗电量增多的各种因素,进行合理地改进重要耗电设备的运行方式和节能设施,在保障企业电气设备稳定运行的同时达到节能降耗的目的。     

函数条件f(α+x)=f(α-x),f(x+α)=f(x-α)的应用

通过对函数条件f(α+x)=f(α-x),f(x+α)=f(x-α)的讨论,以结论的形势给出了它们所对应的函数性质,并辅以一定例子说明它们的应用.     

关于可交换超越整函数的Julia集

令f和g是两个可交换的超越整函数 ,本文中我们首先证明对任正整数n和m ,J(f g)=J(fn gm) ,然后证明函数h(p(z) ) az∈/B ,其中h(z)是任超越整函数 ,且h′(z) =0有无穷多个解 ,p(z)是一个多项式 ,且degp≥ 2 ,a(≠ 0 )∈C .     

4pq阶连通3度边传递图

证明了一个4pq阶的连通3度传递图X当其全自同构群不合非可解极小正规子群时为对称图,这里p，q为大于3且不相等的素数。     

一道竞赛题目的几种解法探索及引申

通过一道竞赛几何问题的一题多解(分析法、对称法、同一法、三角法),力求说明数学竞赛应立足于课本,并从问题解决的过程和结果上初步培养学生学习数学、研究数学的能力。