有理数与连分数

§1.从量长度谈起 “数”与“量”是我们数学研究的对象。最早,数(Shù)起源于数(Shǔ)如一,二,三,四,五,…地数(Shù)下去。量(Liàng)起源于量(Liáng)如一米,二米,三米,四米,五米,…地量(Liáng)下去。凡是量(Liàng)总可以用一个单位量(Liàng)来量(Liáng),于是就要数(Shǔ),便数(Shǔ)出     

小米的家庭聚会

所有的好朋友都到了.人很多,家里就显得有些拥(yōng)挤(jǐ).于是大家决定到小米家后面的山披(pō)上去玩.大伙一起动手,搬(bān)了很多正方体形状的箱(xiāng)子,用箱子排出特别的座椅,大家快乐地玩耍(shuǎ)起来.     

EDITORIAL COMMITTEE

Editor一in一chief SU BUqing(SU.已u一c}:{n苏步青) DePuty Editor一in一ehiefC卜eng Minde(M.T,Cheng.程民德)Wong{iogang厂WhongC卜la!;。nglin FUlln(Jln,Fu一l‘n金福临)汪嘉冈)KeZ卜。o‘C卜。0.Ko柯召)x,a Doox,ng。hoh.Dao一如}日g夏道行。Li Da闷,。n‘Li.T。一ts一en李夫潜)之匕angs:」e卜eng(Chong.su一:hongLi GUop‘ng(Lee,K.p.李国平)张素诚) Editors巨a}2卜engguo(po Che年kuo白正国)LinZ卜en晰eng厂Lin,Jen一比。ng林振声、Coo汉山:Ja。_TsQo,Sh.n一卜。。曹锡华)L,u三卜Qoxt;e(L,。,S卜ao一xue全,{…     

3个巡逻兵和12个小矮人

钟(zhōng)表王国里住着12个小矮(ǎi)人,个子最大的一个叫"12",个子最小的一个叫"1".12个小矮人住在各自的小房子里,大家互不侵(qīn)犯、友好相处.     

变形金刚大组装

潘潇潇和小米在等大米,因为大米说要和他们玩一个有趣的游戏(xì).大米来了后,变戏法似的拿出一盒变形金刚零(líng)件.     

贝卡为什么哭了?

放学后,别的同学都忙着回家写作业了.贪玩的贝卡背着书包兴致勃(bó)勃地来到儿童乐园,玩了很长时间的小飞机,玩累(lèi)了,找了一处空地,躺(tǎng)下来闭上眼睛,开始回味起曾经和哆啦A梦一起月夜探(tàn)险(xiǎn)的往事,心里别提多美了     

MATHEMATICS IN ECONOMIC SVol.20 2003 CONTENTS

No.1ON CERTAIN TRENDSOF MATHEMATICSIN NATURAL AND SOCIAL SCIENCE Xie Li-tong( 1 )……………………MODEL OF MULTLTI-UNIT DISCRIMINATIVE AUCTIONS Long Yong-H ng( 8)…………………………………………THE PRICING OF OPTIONSABOUT FOREIGN EXCHANGE WHOSE RATESARE DRIVEDBY JUMP-DIFFUSION PROCESSES Deng Guo-he( 1 3 )……………………………………………………………………GAME ANALYSIS0 F LATENT INVESTMENT Luo Qiang　Wang Xiany…     

Acta Mathematica Scientia

Vol.27 No.6 Ser.A 2007(Bimonthly) ContentS UnboundedS()lutions of Boundary Value Problerns on thoH:zlf一I一no with(二ountable Impulses················································……Yu、技之otllu)明(闻宝强)L爪Ya川heng(刘衍胜)(961) A’rwo一Ievel Method with Baektraek一ng for一he Conduelzon一Conveetion Problerns·············，·······……I‘、021，。、d()、g(罗振东)(?j，尸;，Jin川陈静)，ri州Xiangjun(田向军)(977)’Fh…     

贪玩的蓝精灵

春天,花园里的鲜花开了,争奇斗艳,漂亮极了. 蓝精灵跑到花园里玩耍(shuǎ),他看见一个秋千,立即兴奋地坐上去荡(dàng)起来. 荡秋千真好玩,像飞起来一样,蓝精灵高兴地"咯(gē)咯"直笑. 玩了好半天,蓝精灵觉得肚子饿了.想起妈妈做的巧克力蛋糕,他忍不住咽(yàn)了咽口水.他想跳下秋千,赶紧回家去吃蛋糕,但奇怪的是,他的屁股怎么也离不开坐板,这是怎么回事呢?原来,他的屁股被胶水粘(zhān)住了!     

数学之为用

一数(讀作Shù)起源于数(讀作Shǔ),如一二三四五……,一个两个三个……地数。量(讀作Liàng)起源于量(讀作Liáng),先取一个单位做标准,然后一个单位一个单位地量。天下虽有各种不同的量,各种不同的量这些量的单位,如尺、斤、斗、秒、伏特、欧格和卡路里等等,但都必須通过数才能确切地把实际的情况表达出來。所以“数”是各种各样不同量的共性,必須通过它才能比較量的多寡,才能說明量的变化。“量”是貫穿到一切科学領域之内的,因此,数学的用处也就渗透到一切科学領城之中。凡是要研究量,量的关系,量的变化,量的关系的变化,量的变化的关系的时候,就少不了数学。不仅如此,量的变化还有变化,而刻划变化一般也是尽量来刻划的,例如,速度是用来描写物体的变化的动态的,而加速度則用来刻划速度的变化。量与量之間有各种各样不同的关系,     

ON EXPONENTIAL STABILITY OF NON-AUTONOMOUS STOCHASTIC SEMILINEAR EVOLUTION EQUATIONS

11MroductlonThe purpose ofthls paper Is to Investigate eWone尬lal stability of*theity mild solutions forcenain Hilbert space－Mued stochastlc evoMlon eqll砒ions,Roughy spe出0ng;we cons讪r山efollowing equation:I 伏I＝*x,＋风Il加L十从L,剧dWn,c〔瓜＋咖。(””””“”(11)D 人n 二x．Where A Is the Infinlteslmalgener砒or ofa certain几semigroup S(t),t＞0;on H and F(t;、)and B(t;·)are In general nonlinear mappings from H to H and H to L(x,H),the family ofall bounded linear operators from …     

雷帕霉素对基质细胞衍生因子-1α诱导的内皮生长晕细胞增殖及黏附能力的影响

目的探讨雷帕霉素对基质细胞衍生因子-1α（SDF-1α）诱导的内皮生长晕细胞（EOCs）增殖及黏附能力的影响。方法使用密度梯度离心法分离脐血单个核细胞,培养并扩增EOCs,然后用免疫组化法、荧光染色法鉴定其内皮细胞特性。分为空白对照组、10ng/ml SDF-1α处理组、10ng/ml SDF-1α及10ng/ml雷帕霉素共同干预组、10ng/ml雷帕霉素处理组,各处理组与EOCs作用24h,CCK8检测细胞增殖能力,并在倒置显微镜下检测细胞的黏附能力。结果采用贴壁法培养的EOCs具有多种内皮细胞特性。10ng/ml的SDF-1α能显著提高EOCs的增殖及黏附能力（P＜0.05）,而10 ng/ml的雷帕霉素能阻断SDF-1α对EOCs增殖、黏附能力的促进作用（P＜0.05）。结论雷帕霉素可抑制SDF-1α诱导的EOCs增殖及黏附。     

EDITORIAL COMMITTEE

Deputy Editor一in一ehiefe卜eng冈inde(冈.T.C卜eng.程民德)J,nF、」lin(j,n,「u一l,}飞金福临)‘KeZ卜Qo(c{飞Qo,K。柯召)L’DQ闷,Qn(L,,TQ一t:,en李大潜)LIGU。列ng(Lee,K.P.李国平)Wang{iagQng(Whang.C卜l。一kong 汪嘉冈)丫iQ巳QOXing龙hQh,Dao一弘i卜g夏道行)Zhong Sue卜eng(C卜ang,Su一cheng 张素诚)卫ditor3eaiZ卜eogguo(pa,C卜en一kuo白正国)Ljn Zhensheng(Lin,Jen一s卜eng林振声)C。。X,hu。(TsQo,shin一hua曹锡华)Liu shaoxue(L}。,shoo一xue刘绍学)〔l飞e。xir。交c卜en,H:i一jn陈希孺)L一u Yingming(L,:…     

数学年刊第24卷B辑第4期(2003)目次和提要

4维Sp(N)和50(N)超对称规范理论中的手征环 E.丫VITTEN 该文计算了具有规范场Sp(N)或50(N)的经典超对称、认ng一Mills理论中的手征环,推广了以前对于SU(N)群的工作(由Caehazo,Douglas,Seiberg与作者完成).结果正如以前猜测的那样,环是由满足关系sh=0的普通胶子球超场s、Tr环爪lw“所生成,这里h是对偶coxeter数.尽管此命题对量子理论的行为有重要的推论,命题的叙述与〔绝大数的)证明只用到李群的知识,和规范场理论并无直接的关系.具零特征的一阶拟线性双曲组的精确能控性 李大潜于立新 对一类具零特征的一阶拟线性双曲组的混合初一…     

A Note on Integral Structures in Some Locally Algebraic Representations of GL2

In the p-adic local Langlands correspondence for GL_2(Q_p), the following theorem of Berger and Breuil has played an important role: the locally algebraic representations of GL_2(Q_p) associated to crystabelline Galois representations admit a unique unitary completion. In this note, we give a new proof of the weaker statement that the locally algebraic representations admit at most one unitary completion and such a completion is automatically admissible. Our proof is purely representation theoretic, involving neither(ψ, Γ)-module techniques nor global methods. When F is a finite extension of Q_p, we also get a simpler proof of a theorem of Vignéras for the existence of integral structures for(locally algebraic) special series and for(smooth) tamely ramified principal series.     

DIFFERENTIAL INEQUALITIES OF OPERATOR-VALUED ANALYTIC FUNCTIONS

1 IntroductionLet H dellote a colllplex Hilbert space. Let B(H) be a co1llplex Banach space of all boundedliuear operators on H, alld B(H)*, tl1e co11jugate space of B(H). The real and inlaginary partsrof all operator T on H are denoted by ReT and IlllT, respectively, i.e., ReT = op, I111T =ng. A contraction is a11 operator T E B(H) with 11TI1 5 1, a proper contractioll is al1operator T 6 B(H) witl1 lITlI < 1.We say that f is all operator-val[1ed fullction on the u1lit disc A = {…     

我要飞上青天

嗨!我是潘潇潇.今天特别高兴,因为小米和贝卡邀请我和他们一起去公园放风筝(zhēng). 秋高气爽,我、小米还有贝卡一起去公园放风筝.抬头一看,公园的天空真热闹!     

EDITORIAL COMMITTEE

DePuty,eng洲,nde(’冈.T.Cheng,程民德)Jln FuJ.n(J}n,Fu一l,n金福临)Ke zhao(ehao,Ko柯召)LID叫一。n(L,,Ta一tsien李大潜)L‘伽oPing‘比e,K尸.李国平)Editor·in·ehiefWQng」,。gong‘Whong.C卜i。一kong 汪嘉冈)xia oaox!ng(shQ卜,Doo一:hing夏道行)Z卜Qng SuCheng(ChQng,Su一Cheng 张素诚)Editors氏2卜eoggoo(pQ,C卜en一koo白正国)CQo又山uQ‘T:ao.Sh,n一hua曹锡华)C卜enX{{一LC卜en,日:卜j。陈希孺)C卜en Wen丫uan(C卜en.Wen一丫。Qn 陈文蜕)Dong GuQng:卜Qng汀ong,Kweng一:hQng 董光昌)DuQn XuefoJ。丁。…     

痛苦的“分类”

正今天的数学课,我们学习了如何分类。中午放学回家后,妈妈也问了我一个关于分类的问题:"小宇,如果我和你爸爸分开了,你想跟我在一起,还是想跟你爸爸在一起?"我从没想过这个问题,所以,我愣(lèng)住了,不知道应该怎么回答。妈妈催促(cù)道:"快说啊,你希望分给谁?"我说:"我想和你们俩在一起,我们三个人永远     

The distance coloring of graphs

Let G be a connected graph with maximum degree Δ≥ 3.We investigate the upper bound for the chromatic number χγ(G) of the power graph Gγ.It was proved that χγ(G) ≤Δ(Δ-1)γ-1Δ-2+ 1 =:M + 1,where the equality holds if and only if G is a Moore graph.If G is not a Moore graph,and G satisfies one of the following conditions:(1) G is non-regular,(2) the girth g(G) ≤ 2γ- 1,(3)g(G) ≥ 2γ + 2,and the connectivity κ(G) ≥ 3 if γ≥ 3,κ(G) ≥ 4 but g(G) 6 if γ = 2,(4) Δis sufficiently larger than a given number only depending on γ,then χγ(G) ≤ M- 1.By means of the spectral radius λ1(G) of the adjacency matrix of G,it was shown that χ2(G) ≤λ1(G)2+ 1,where the equality holds if and only if G is a star or a Moore graph with diameter 2 and girth 5,and χγ(G)λ1(G)γ+1 ifγ≥3.