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1.
本我们讨论了下面一阶代数微分方程组增长级比系数高的亚纯函数解Ω1=∑(i)a(i)(z)w^i11w^i22(w′1)^i3(w′2)^i4=p1/∑k=0bk(z)w^k1/q1/∑k=0ck(z)w^k1 Ω2=∑(j)d(j)w^j11w^j22(w ′2)^j3(w′2)^4=p2/∑/k=0ek(z)w^k2/q2/∑/k=0fk(z)w^k2其中系系数{a(i)(z)},…,{fk(z)}均为亚纯函数,得到了方程组有可允许解的必要条件q1q2 ≤max/(i){i2 2i4}max(j){j1 2j3}。  相似文献   

2.
黄桂君 《中学数学研究》2008,(2):F0004-F0004
引例已知直线li:aix+biy=c(i=1,2)均过点D(p,q),求过两点A1(a2,b1),A2(a2,b2)的直线方程.  相似文献   

3.
一个整除性问题   总被引:2,自引:0,他引:2  
设p是奇素数,r=(p-1)/2.又设ai(i=1,2,…,n)是与p互素的整数,b=(a1'-a2’)(a2'-a3')…(an'-a1').证明了:当n是奇数时,必有b=1(mod p);当n是偶数时,存在ai(u=1,2,…,n)可使b≠0(mod p).  相似文献   

4.
命题若a,b,c,p∈R,a b c=p,则存在k∈R,使b=-(k 1)a,c=ka p。而且也存在k’∈ R,使c=-(k’ 1)a,b=k’a p。证明由a b c=p得a b (c-p)=0,以a、b、(c-p)为二次项、一次项的系数和常数项,作一元二次方程 ax~2 bx (c-p)=0(假定a≠0),显然方程有根为1,(因为a b (c-p)=0),若另一根为k,(k∈R)由根与系数的关系得-b/a=k 1,即 b=-(k 1)a,(c-p)/a=1·k,得c=ka p。再作二次方程ax~2 cx (b-p)=0,其一根为1 ,若另一根为k’,则有  相似文献   

5.
一、选择题1.设集合M={x|x=k2 14,k∈Z},N={x|x=4k 12,k∈Z},则().A.M=N B.M N C.M N D.M∩N=2.四个条件b>0>a、0>a>b、a>0>b、a>b>0中,能使1a<1b成立的充分条件的个数是().A.1B.2C.3D.43.已知p是r的充分不必要条件,s是r的必要条件,q是s的必要条件,那么p是q成立的().A.充分不必要条件B.必要不充分条件C.充要条件D.既不充分也不必要条件4.命题p:若a、b∈R,则|a| |b|>1是|a b|>1的充分而不必要条件;命题q:函数y=姨|x-1|-2的定义域是(-∞,-1]∪[3, ∞),则().∪≠∪≠A.“p或q”为假B.“p且q”为真C.p真q假D.p假q真5.…  相似文献   

6.
题目求满足下述条件的最小正实数k:对任意不小于k的4个互不相同的实数a,b,c,d,都存在a,b,c,d的一个排列p,q,r,s,使得方程(x^2+px+q)(x^2+rx+s)=0有4个互不相同的实数根.(第六届中国西部数学奥赛试题)  相似文献   

7.
根据量子力学中的线性叠加原理,构造了多模奇相干态和多模虚偶相干 态组成的第Ⅳ种态叠加多模叠加态光场|ψ^(4)oe,Ⅳ&;gt;q.利用多模压缩态理论研究了态|ψ^(4)oe,Ⅳ&;gt;q,Ⅳ&;gt;q3的等阶N次方H压缩特性,结果发现:(1)当压缩阶数N与腔模总数q之积qN为偶数时:a.若qN=4m(m=1,2,3,…)时,态|ψ^(4)oe,Ⅳ&;gt;q处于等阶N-H最小刻测不准态。b.若qN=4m′+2(m′=0,1,2,…),且q/∑/j=1Nψj=&;#177;kψπ(或&;#177;kψπ+π/2)(kψ=0,1,2,…)时,态|ψ^(4)oe,Ⅳ&;gt;q呈现“半相干态”效应,2)当qN=2p′+1(p′=0,1,2,…)时,态|ψ^(4)oe,Ⅳ&;gt;q可呈现以下三种状态:a.当q/∑/j=1Nψj=1=&;#177;kψπ(kψ=0,1,2,…)时,第一正交分量可呈现等阶N次方H压缩效应,b、当q/∑/j=1Nψj=&;#177;kψπ+π/2(kψ=0,1,2,…)时,第二正交分量可呈现等阶N次方H压缩效应;c.“半相干态”效应。  相似文献   

8.
琴生不等式是:若f(x)是区间L上的凸函数,ai∈L ,i=1 ,…,n ,则 ni=1f(ai)≤nf( 1n ni=1ai) .我们还有(以下把 ni=1记作 )定理 设f(x)是闭区间[a ,b]上的凸函数,ai∈[a ,b],i=1 ,…,n ,则f(ai)≥kf(b) (n -k -1 ) f(a) f(c) .①其中 k = ai-nab-a ,c= ai-kb -(n -k -1 )a .证明:任取x1、x2 ,使a 相似文献   

9.
对群论定理“设a,b为群(G,·)之二元.如 1)a·b=b·a,2)(o(a),o(b))=1,则o(a·6)=o(a)×o(6)″进行推广.首先,仅变更2)为2′)(o(a),o(b))=d,得到定理1:设a,b为群(G,·)之二元,如 1)n·6=b·a.2′)(o(a),o(6))=d,则o(a·6)=o(a)/d×o(b)/d×q,q∈N且1≤q≤d;其次,不仅变更2)为2″)(o(ai),a(aj))=1,i≠j,i,j=1,2,…,n,且变更1)为1′)ai·aj=aj·ai,i≠j,i,j=1,2,…,n,得到定理2:设a1,a2,…,an为群(G,·)之n(≥2)元,  相似文献   

10.
得出由Lucas多项式导出的多项式Ln(x)不可约的充要条件,利用此结果给出(1)coskπ/n为无理数的一个充分条件,k=1,2,…,n-1;(2)求出Sk=∑i=1^p/2cos^k(2iπ/p)的递推公式,p是素数。  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.
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   

13.
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   

14.
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   

15.
《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   

16.
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   

17.
《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   

18.
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  相似文献   

19.
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   

20.
《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   

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