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1.
考虑实Banach空间中带误差的隐迭代过程{xn}:xn=αnxn-1+(1-αn)Tnnyn+un,yn=βnxn-1+(1-βn)Tnnxn+vn,n=0,1,2,….这里x0∈K,{αn},{βn}是(0,1)中的实数列,Tn=Tn(modN),{un},{vn}是K中有界数列,研究了隐迭代过程{xn}逼近渐近非扩张映象族{Ti∶K→}Ni=1的公共不动点,所获结果推广文献[2-]和[3]的结果。  相似文献   

2.
在较一般的条件下研究了加权阵列的随机指标部分和1/(bn) sum from i=1 to Nn ani(Xni-E(XniI(|Xni|≤bn)|Fn,i-1))的弱大数定律,其中{Xni,i≥1,n≥1}为随机变量阵列,{Nn,n≥1}是正整数值的随机变量,{bn,n≥1}是正的常数.  相似文献   

3.
建立了二阶变时滞非线性差分方程△ (pn(△yn) σ) +qnf(yn-kn) =0的一些新的振动性定理 ,其中△yn=yn+ 1-yn 是差分算子 ,{kn}是非负整数序列 ,{n-kn}单调不减 ,σ是两个正奇数之商 ,{qn}是非负实数序列 ,{pn}是正实数序列 ,f是 (-∞ ,+∞ )上的连续函数  相似文献   

4.
具非线性中立项时滞差分方程正解的存在性   总被引:2,自引:0,他引:2  
本文在(α-1)2+(p-1)2>0,且∑∞s=n0qs<∞情形下证明了具非线性中立项时滞差分方程Δ(xn-pxαn-r)+qnxβn-σ=0,nn0,存在有界正解,推广了已有的结果,其中τ>0和σ0是整数,α和β是两个正奇数之比,p∈(-∞,∞),{qn}是非负实数序列.  相似文献   

5.
我们知道,{αn}是等差数列时,αn=α1+(n-1)d,Sn=nα1+n(n-1)/2d(Sn=αn^2+bn,Sn/n=αn+b(a≠0)).当a≠0时,世,Sn/n是n的一次函数,S是n的二次函数,且不含常数项(n∈N^+).  相似文献   

6.
瞿炜 《当代电大》2004,(11):90-92
例 1 写出集合A ={ 1,2 ,{ 3} }的幂集。解 根据幂集所含元素的个数 ,知P(A)含有 2 3 =8个元素。则 :P(A) ={ ,{ 1} ,{ 2 } ,{ { 3} } ,{ 1,2 } ,{ 1,{ 3} } ,{ 2 ,{ 3} } ,{ 1,2 ,{ 3} } }例 2 设集合A={ 1,2 ,3} ,B ={a ,b} ,试写出A到B的所有不同映射。解 不同映射的个数为 2 3 =8个 ,分别为 :σ1∶ 1a ,2a ,3aσ2 ∶ 1a ,2b,3σ aσ3 ∶ 1σ a,2 σ a ,3σ bσ4∶ 1σ a,2 σ b ,3bσ5∶ 1b ,2a ,3aσ6∶ 1b ,2b ,3σ aσ7∶ 1σ b ,2 σ a ,3σ bσ8∶ 1σ b ,2 σ b,3b例 3 证明 f(n) =2n +1 n≥ 0| 2n| n <0 (n∈Z)是…  相似文献   

7.
采用半环分析法研究差分方程x(n+1)=1/(xn+x(n+1))(n=0,1,…)解列{xn}n^* n-1。的特性。在此基础上,给出在初始值满足x-1,x0∈(0,∞)情况下,其平衡点牙:压/2是全局渐近稳定的严格理论证明。  相似文献   

8.
本文给出一类由分式递推公式所确定数列的通项公式的求解方法 .问题 1 已知数列 { an}中 ,a1 =α,an+ 1 =λan+β,α>0 ,λ>0 ,β>0 ,求数列 { an}的一个通项公式 .解 由题设条件知 an>0 (n∈ N*) ,根据递推公式 an+ 1 =λan+β,得 an(an+ 1 -β) -λ=0 .令 bn=an+-β+β2 +4λ2 ,代入上式得 (bn+β-β2 +4λ2 ) (bn+ 1 - β+β2 +4λ2 ) -λ=0 ,即 (β-β2 +4λ) bn+ 1 - (β+β2 +4λ) bn+2 bnbn+ 1 =0 .令γ=β2 +4λ,由 an>0 (n∈ N*) ,-β+β2 +4λ>0知 bn>0 (n∈ N*) ,将上面等式两边同时除以bnbn+ 1 ,得 β-γbn- β+γbn+ 1+2 =…  相似文献   

9.
设k和b是给定的整数 ,且k >1,b 0。一个集合S被称为 (k ,b)线性自由集 ,如果S∩ (kS +b) =Φ ,这里kS +b ={ks+b ,s∈S}。设Nn={ 1,2 ,3,…n}。一个 (k ,b)线性自由集A是极大的 ,如果对任意的 (k ,b)自由集B有A B Nn 当且仅当A =B。令f(n ,k ,b) =max{ |A|,A Nn 是极大的 (k ,b)线性自由集 } ,g(n ,k ,b) =min{ |A|,A Nn 是极大的 (k ,b)线性自由集 } ,本文给出了线性自由集A的一种构造方法及f(n ,k ,b)的计算公式 ,也给出了n等于某些值时f(n ,k ,b)与g(n ,k ,b)的简易计算公式  相似文献   

10.
设E是一致光滑的Banach空间,C是E中一非空闭凸子集,T:C→C是一非扩张映像且不动点集非空,u∈C是一给定的点,而x0∈C是任一初始点.如果{an}是(0.1)中之一实数列,满足条件limn→∞αn=0和∑∞n=1α=∞而且由χn 1=αnu (1-αn)Txn定义的序列{xn}满足条件|Tzb-xn|-|zn-xn|=O(αn),这里Zn=αnu (1-αn)Tzn,则{xn}∞n=0强收敛T在C中之一的不动点.  相似文献   

11.
The communication of people partially is the communication of cultures. Culture has a direct effect on international commercial activities in all aspects. Different conceptions about time, space, equality, law and the like, lead people to deal with things in different ways. So to know cultures of the counterpart is to facil-itate our enterprises so as to have a smooth and successful communication in commercial activity.  相似文献   

12.
风的曲线     
Rosco and I wait for the fishermen to return.I sit at a wooden bench near the store at Mt.Baker Resort and watch the clouds change shape. Rosco has my belt around his neck and an eight foot tow chain hooked to a tree. Dogs must be on a leash. Ducks and rabbits are loose.  相似文献   

13.
Given a graph G,a subgraph C is called a clique of G if C is a complete subgraph of G maximal under inclusion and |C|≥2. A clique-transversal set S of G is a set of vertices of G such that S meets all cliques of G. The clique-transversal number, denoted as TC (G), is the minimum cardinality of a clique-transversal set in G. The clique-graph of G, denoted as K (G), is the graph obtained by taking the cliques of G as vertices, and two vertices are adjacent if and only if the corresponding cliques in G have nonempty intersection. Let F be a class of graphs G such that F={G|K(G) is a tree}. In this paper the graphs in F having independent clique-transversal sets are shown and thus TC (G)/|G|≤1/2 for all G ∈ F.  相似文献   

14.
《海外英语》2007,(5):44-45
It is worthy of noting that, whilst Crookston Castle witnessed the earlier and happier portion of Mary's variegated life,  相似文献   

15.
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/  相似文献   

16.
《海外英语》2007,(5):10-11
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?  相似文献   

17.
Different nations have different social cultures, and the social culture of every nation is developing with the development of the nation, language is greatly influenced by social culture, which enables language to possess national and historical characteristics. Word is the smallest, independent, meaningful linguistic unit of language. It can well reflect the national and historical characteristics. From synchronic aspect, the social and cultural influence on word meaning is mainly embodied in conceptual and associative meanings of word. The incorrespondence of word meaning is a phenomenon that exists in both conceptual and associative meanings of word among different languages. From diachronic aspect, the development of social culture causes some changes of word meaning to some extent. Therefore, social culture plays a key role in vocabulary learning and mastery of a language.  相似文献   

18.
《海外英语》2007,(4):36
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.  相似文献   

19.
20.
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。  相似文献   

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