Banach空间中Ishikawa迭代收敛定理

在Banach空间中,给出了平均非扩张映射‖Tx-Ty‖≤a‖x-y‖+b‖x-Ty‖的Ishikawa迭代收敛的充要条件,所得结果改进和推广了平均非扩张映射的Ishikawa迭代收敛的性质.     

协方差矩阵^∑sam的收敛速度

^∑sam具有较慢的收敛速度．K=O（1）时,在范数‖·‖∑下,∑的收敛速度为n^-β/2,其中β=min（1,2-α）,而^∑sam则具有较慢的收敛速度n^-β1/2.     

高校物理课教学改革浅议

高‖校‖物‖理‖课‖教‖学‖改‖革‖浅‖议●鞍山钢铁学院数理系温传庚王开明●关键词：课程现代化素质（一）要突出工科物理的风格。使学生对工科物理的内容和方法、工作语言、概念和物性图象，其历史、现状和前言等方面，从整体上有个全面了解，使工科物理不仅为后继...     

Banach空间中X=Cx＋d型线性方程组解的存在性与唯一性

利用不动点定理将n阶线性方程组X=Cx＋d在范数‖·‖1的列范数下解的存在性与唯一性推广至范数‖·‖1的行范数、范数‖·‖p和范数‖·‖∞,并将这一性质推广至无限阶线性方程组.     

笛卡尔分解与Schatten-范数

设T是一希尔伯特空间算子,T=A iB,其中AB是自伴算子。利用一类qusi-范数不等式及范数不等式,比较了‖T‖p与‖(A2 B2)1/2‖p和(‖A‖pp ‖B‖pp)1/p之间的关系,得到当2≤p≤∞,‖A‖pp=‖B‖pp≤‖T‖pp≤2p-2(‖A‖pp ‖B‖pp);21/p-1/2‖(A2 B2)1/2‖p≤‖T‖p≤21-1/2‖(A2 B2)1/2‖p,进而得到特殊情况‖T‖22=‖A‖22 ‖B‖22和‖T‖2=‖(A2 B2)1/2‖2,它们反眏了‖.‖2的Euclidean特点。     

基于拟赋范空间的vx,y映射

通过对含有几何常数C的拟赋范线性空间中的映射vx,y（t）=（‖x＋ty‖-‖x‖）/t的研究,得到了vx,y映射在拟赋范线性空间中所满足的不等式,并且在进一步论证过程中得到了关于拟赋范线性空间三角不等式‖x＋y‖≤C‖x‖＋C‖y‖的推广。     

Hardy-Littlewood极大算子的一个推广

本文在Lp(X,dμ)上定义非对称范数‖f‖p,(α,β),并在此基础上给出了非对称范数意义下Hardy-Little-wood极大算子的性质.     

Bloch空间上的广义Cesàro算子的本性模

H(B)是单位球B上的全纯函数的全体,对g∈H(B),讨论了Bloch空间上的广义Cesàro算子Tg的本性模估计.利用上极限,给出了‖Tg‖e,B→B的表示.此处‖Tg‖e,B→B表示Bloch空间上的广义Cesàro算子的本性模.     

由非超弱紧测度生成的算子半范数

文章由Banach空间中的非超弱紧测度导出对应的连续线性算子空间中的函数σ,证明了σ是算子空间中的半范数。进一步研究了半范数σ和算子范数‖·‖之间的关系,并由此证明了超弱紧算子空间是连续线性算子空间的闭理想。     

线性约束下广义中心对称矩阵扩充及其最佳逼近

文章讨论子矩阵约束下‖AX-Z‖2＋‖YHA-WH‖2=min的广义中心对称解及其最佳逼近,给出了解存在的充要条件及通解的表达式,并且给出了解集合中与给定矩阵的最佳逼近。     

汉字倒说

汉字的六书,《说文》对“转注”一类,语焉不详。后世学者提及转注,也仅限于许慎所举出的例字。《汉字例说》一文,作者从转注的角度综合考虑,对部分现代常用字作了分析,跟传统的解释有所不同。希望能抛砖引玉,互相切磋,以推进学术研究。     

卡思卡特城堡

It is worthy of noting that, whilst Crookston Castle witnessed the earlier and happier portion of Mary's variegated life,     

不同的吃喝玩乐

一、吃和喝吃苹果 eat an apple, 吃药 take medicine,吃糖 have some sweets,吃饭 have one's meals,吃馆子 dine out,吃惊 be surprised/     

漏洞百出的教育

Many college freshmen arrive woefully unprepared to do college work, and as disadvantaged populations continue to grow, the share of the American work force that has made it through college is expected to plummet. Many experts blame that educational failure not just on high schools but also on colleges. School & College, a special report by The Chronicle, looks at efforts to fix the system. What reforms would better prepare students for college? What should schools and colleges be doing differently? How should state and federal officials help?     

钱生钱!

我们绝大部分人都同意一件事情——我们喜欢金钱。但是你对金钱的喜欢之情足够到让你创立一份事业么?.财富通常被人忽视,主要在于人们不能真正了     

只要努力,不要后悔

There are numbers of crossroads on our long and unpredictable life journey where we totally have no idea about which direction to choose. No matter what our decision is, we should not turn back, but face the music and go ahead instead. I am this kind of girl who always does try without regretting, one example is how I dealt with my love.     

Inequalities for inscribed simplexes

The problem on the geometrc inequalities involving an n-dimensional simplex and its inscribed simplex is studied. Aninequality is established, which reveals that the difference between the squared circumradius of the n-dimensional simplex andthe squared distance between its circumcenter and barycenter times the squared circumradius of its inscribed simplex is not lessthan the 2(n-1)th power of n times its squared inradius, and is equal to when the simplex is regular and its inscribed siplex is atangent point one. Deduction from this inequality reaches a generalization of n-dimensional Euler inequality indicating that thecircumradius of the simplex is not less than the n-fold inradius. Another inequality is derived to present the relationship betweenthe circumradius of the n-dimensional simplex and the circumradius and inradius of its pedal simplex.     

浅谈移民问题

Migration occurs behind a variety of reasons and has a great effect on the whole world. People may migrate in order to improve their economic situation, or in order to escape civil strife, persecution, and environmental disasters. The impact of migration is complex, bringing both benefits anddisadvantages. This paper briefly talks about the causes of migration, the allocation of benefits, and the ways in which individual countries and the international community deal with this important subject.     

微薄的薪水,高尚的情操

现在,我们可以没有面包,没有钱,没有房子,没有车子……但我们唯独不能丢失的是高尚的情操,笃定的信念,还有,满满的希望!     

Virtual reality approach for 3D large model browsing on web site

Using virtual reality for interactive design gives a designer an intuitive vision of a design and allows the designer to achieve a viable, optimal solution in a timely manner. The article discusses the process of making the Virtual Reality System of the Humble Administrator＇s Garden. Translating building data to the Virtual Reality Modeling Language （VRML） is by far unsatisfactory. This creates a challenge for computer designers to do optimization to meet requirements. Five different approaches to optimize models have been presented in this paper. The other methods are to optimize VRML and to reduce the file size. This is done by keeping polygon counts to a minimum and by applying such techniques as object culling and level-ofdetail switching.