一个由方差估计引出的极值问题

在文献[1]中提出的一种非参数方差估计方法,引出了下面的极值问题:在∑i=1iω=0,∑m0,∑mi=1ω2i=1的约束下,使∑mi=1ω4i达到最小或最大.本文给出了这个问题的解.     

柯西不等式的一个简单证明及应用

柯西不等式设　ai>0 ,bi>0 ,　i=1 ,2 ,… ,n。( ∑ni =1a2i) ( ∑ni =1b2i) ( ∑ni =1aibi) 21　证明设　A=∑ni =1a2i,　B=∑ni =1b2i,　C=∑ni =1aibi则　ABC 1 =∑ni =1a2i BC2 ∑ni =1b2i B　 =∑ni =1( a2i BC2 b2i B) ∑ni =12 aibi C=2所以　 ABC 1 2 ,即 AB C2。2　应用利用柯西不等式推导空间一点 p( x0 ,y0 ,z0 )到直线 L:　 Ax By Cz D=0的距离公式d=| Ax0 By0 Cz0 D|A2 B2 C2设 p1( x1,y1,z1)是直线 L:　 Ax By Cz D= 0上任一点则有Ax1 By1 Cz1 D=0则 | pp1| =( x0 - x1) 2 ( y…     

索赔重尾条件下多风险模型的精细大偏差

探讨了索赔过程为多险种的风险模型,以及重尾随机变量分布函数f为OR类精确大偏差问题。假设一个保险公司有k种类型的险种．第i个险种的索赔过程记为｜xy,j≥1｜,i=1,…,k,在他人研究的基础上得出多险种风险模型s（k;n1,…,nk）=k∑i=1 ni∑j=1xy的精细大偏差．     

Carnot群上散度型退化椭圆方程组的内Morrey估计(英文)

设X1,…,X q是Carnot群G=(Rn,o)(q相似文献   

特殊图的最优标号

标号图(G,L)由图G和它的标号L∶V(G)→{1,2,…,n｝组成.其中n=|V(G)|.在标号图(G,L)中,如果一条路P=u1,u2,…,uk(k≥1)的长度为0(k=1)或者对任意的i(i=1,2,…,k-1;k＞1),满足L(ui)+2≥L(ui+1),则称P为不连续增长路.标号(G,L)图中所有的不连续增长路的数目记为d(G,L).如果图G的一种标号L使得d(G,L)达到最大,则称之为图G的最优标号.在这里,给出了毛毛虫图的一种最优标号.     

关于Hilbert重级数定理的改进

本文利用改进了的Cauchy不等式对Hilbert型不等式进行了改进,建立了一些新的形如∑n-1^∞∑m-1^∞ ambn/m＋n〈{∑n-1^∞[π-35/24（√n＋√n^-1）]an^2∑n-1^∞[π-35/24（√n＋√n^-1）]bn^2}^1/2（1-R）^1/2的不等式,其中R=（a1/√2‖α‖-b1/√2‖β‖）^2.     

一个包含广义Euler函数φ3(n)方程的解

令φ_e(n)为广义Euler函数,e为正整数.利用已有的φ_3(n)的计算公式,以及分类讨论的方式,讨论了方程φ_3(n)=2~(ω(n))3~(ω(n))的正整数解,给出了正整数n=2~m3~αq_1~(β_1)q_2~(β_2…)q_t~(β_t)除α∈[0,1],且q_i≡2(mod3)中的α=0,m=1情况外该方程的正整数解,其中q_i为异于3的奇素数,i=1,…,t.     

带有低阶项的非散度椭圆方程解的二阶导数的高阶可积性

研究如下形式的非散度椭圆方程Lu=n∑i,j=1aij(x)(ε)2u/(ε)xi(ε)xj+n∑i=1bj(x)(ε)u/(ε)xi+c(x)u=h(x)解的二阶导数的高阶可积性,其中系数aij(x)有界且具有小BMO范数,bi(x),c(x)∈Ln(Ω),Ω为Rn(n≥3)中的有界光滑域.     

n阶(n1,n2,…,nk)型k重(r1,r2,…,rk)-循环矩阵相乘的快速算法

利用快速富里叶变换(FFT),给出n阶(n1,n2,…,nk)型k重(r1,r2,…,rk)-循环矩阵相乘的快速算法,其计算复杂性为O(nlog2n),其中n=k     

一元线性回归预测模型计算程序

一、数学模型说明一元线性回归预测模型形式:y=a bx已知一组数据(x_i,y_(?))i=1,2,…,n。由最小二乘法可得 a、b 计算公式为     

To serve and promote science development via innovation

CAS should stick to the principle of rendering service to, and giving impetus for, the development of China＇s science enterprise by making S＆T innovations, said CAS President LU Yongxiang. The CAS president made the remarks in a recent talk to communicate the gist of the winter session of the Party＇s Leading-member Group at CAS, which was held from 7 to 11 January in Beijing.     

Students' Reactions to the Introduction of Videoconferencing for Classroom Instruction

This study examined how students who had no prior experience with videoconferencing would react to the use of videoconferencing as an instructional medium. Students enrolled in seven different courses completed a questionnaire at the beginning of the semester and again at the end of the semester. Students at the origination and remote sites did not differ in their reactions toward videoconferencing but there was a significant difference for gender. Women reacted less favorably to videoconferencing. Compared to the beginning of the semester, students reported significantly less positive attitudes toward taking a course through videoconferencing at the end of the semester. There were no significant differences in students' attitudes toward videoconferencing across courses at the beginning of the semester but there were significant differences across the courses at the end of the semester. The results suggest the need for better preparation for both students and instructors.     

Tracing the origin and early radiation of birds——Paleornithologist ZHOU Zhonghe

With great care, Dr. ZHOU Zhonghe takes out a package wrapped by cotton tissue from a drawer and says: "This is the gem of our collections: the fossil of a bird that lived 125 million years ago!" Then, pointing at a tiny mound, he explains: "Look, this is the claw and that is the head. It was in the egg shell and ready to hatch ... The species fell into a family of waterside inhabitants."     

Cooler temperatures inductive to locust outbreaks

Ajoint study by Prof. ZHANG Zhibin from the CAS Institute of Zoology and his co-workers from Norway, US and Swiss have indicated that historical outbreaks of migratory locusts in China were associated with cold spells, suggesting that China＇s projected climate warming could decrease the pest＇s numbers. The study was published in Proceedings of theNational Academy of Sciences on 17 September, 2007.     

Exploring Multiplexity: Social Network Structures in a Computer-Supported Distance Learning Class

A computer-mediated group is a complex entity whose members exchange many types of information via multiple means of communication in pursuit of goals specific to their environment. Over time, they coordinate technical features of media with locally enacted use to achieve a viable working arrangement. To explore this complex interaction, a case study is presented of the social networks of interactions and media use among members of a class of computer-supported distance learners. Results show how group structures associated with project teams dominated who communicated with whom, about what, and via which media over the term, and how media came to occupy their own communication niches: Webboard for diffuse class-wide communication; Internet Relay Chat more to named others but still for general communication across the class; and e-mail primarily for intrateam communication. Face-to-face interaction, occurring only during a short on-campus session, appears to have had a catalytic effect on social and emotional exchanges. Results suggest the need to structure exchanges to balance class-wide sharing of ideas with subgroup interactions that facilitate project completion, and to provide media that support these two modes of interaction.     

The Role of Intermediating Institutions in the Diffusion of Electronic Data Interchange (EDI): How Industry Associations Intervened in Denmark, Finland, and Hong Kong

Electronic data interchange (EDI) provides means for interorganizational communication, creates network externalities, requires an advanced information technology (IT) infrastructure, and relies on standards. In the diffusion of such innovations, institutional involvement is imperative. Such institutions contain governmental agencies, national and global standardization organizations, local government, and nonprofit private organizations like industry associations. The last type of organizations we call intermediating institutions. They intermediate or coordinate ("inscribe") the activities of a group of would-be adopters. Unfortunately, little is known of how these organizations shape the EDI diffusion trajectory. In this article we examine one specific type of intermediating organizations?industry associations?and how they advanced the EDI diffusion process in the grocery sectors of Hong Kong, Denmark and Finland. We identify six institutional measures, placed into a matrix formed by the mode of involvement (influence vs. regulation) and the type of diffusion force (supply push vs. demand pull), that can be mobilized to further the EDI diffusion. Industry associations were found to be active users of all these measures to varying degrees. Their role was critical especially in knowledge building, knowledge deployment, and standard setting. Furthermore, institutional involvement varied due to policy and cultural contingencies and power dependencies.     

How Electronic Publishers are Protecting Against Piracy: Doubts About Technical Systems of Protection

The increasing prospects of digital piracy has prompted the perceived need by electronic publishers to adopt technical systems of protection, and governments to reform their copyright laws. This article is a preliminary study of the management of intellectual property by electronic publishers, defined as those involved in the production of online databases, and CD-ROMs. It focuses on three main issues: (1) how electronic publishers view the increasing threat of piracy; (2) the methods of protection employed to protect intellectual property in digital format; and (3) the importance of technological protection of intellectual property in electronic publications. The analysis is based on a sample of 23 UK electronic publishers. The interviews revealed an interesting assortment of protection methods and did not show that technological protection was a preferred way. Instead, the means of protection, in addition to copyright law, comprised niche markets, pricing, trust, bad publicity, and nontechnical and technical means.     

Rough Justice: A Statistical Assessment of ICANN's Uniform Dispute Resolution Policy

Long-standing conflict between domain name registrants and trademark holders prompted the Internet Corporation for Assigned Names and Numbers (ICANN) to create a global, mandatory arbitration procedure known as the Uniform Dispute Resolution Policy (UDRP). The UDRP has been used in 2166 cases involving 3938 domain names as of 1 November 2000. The policy gives the initiator of a complaint, generally a trademark holder, the right to choose which ICANN-accredited dispute resolution service provider (RSP) will handle the case. During the preparation of the UDRP,some feared that complainant selection would lead to "forum shopping" that might bias the results. This article performs a statistical assessment of the forum-shopping thesis and finds support for it. There are statistically significant differences in the various RSPs' propensity to take away names from defendants; there are also major differences in the number of cases brought to each RSP. RSPs who take away names have the larger share of cases. The study examines other variables that might explain differences in market share, such as price, the plaintiff's nationality, or the time taken to decide a case. It finds that nationality and time also are correlated with market share. The study concludes that shopping for a favorable outcome is an important factor in the UDRP.     

Prevalence of soft neurological signs in Chinese people

Prof. Raymond C.K. Chen, a neuropsychologist with the CAS Institute of Psychology, has made novel progress in his studies of schizophrenia. His work has been reported by a recent issue of Behavioural Neurology.     

Stern-Gerlach effect goes chiral

Prof. SUN Changpu from the CAS Institute of Theoretical Physics and coworkers from University of Basel in Switzerland have worked out a way --at least in theory --to split a beam of molecules according to their chirality. The technique involves passing the molecules through three different laser beams and is similar to the famous Stern-Gerlach effect, whereby a beam of atoms passing through a magnetic field is split in two according to the atoms＇ spin states （Phys. Rev. Lett. 99 130403）.