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First, we introduce and discuss the various methods of multivariate polynomial interpolation in the literature. Based on this study, we state multivariate Lagrange interpolation over again from algebraic geometry viewpoint:Given different interpolation nodes A1,A2 .....,An in the affine n-dimensional space Kn, and accordingly function values fi(i = 1,..., m), the question is how to find a polynomial p K[x1, x2,...,xn] satisfying the interpolation conditions:where X=(x1,X2,....,xn). Similarly with univariate problem, we have provedTheorem If the monomial ordering is given, a minimal ordering polynomial satisfying conditions (1) is uniquely exsisted.Such a polynomial can be computed by the Lagrange-Hermite interpolation algorithm introduced in chapter 2. Another statement for Lagrange interpolation problem is:Given monomials 1 ,2 ,.....,m from low degree to high one with respect to the ordering, some arbitrary values fi(i= 1,..., m), find a polynomial p, such thatIf there uniquely exists such an interpolation polynomial p{X, the interpolation problem is called properly posed.

文中首先对现有的多元多项式插值方法作了一个介绍和评述，在此基础上我们从代数几何观点重新讨论了多元Lagrange插值问题：给定n维仿射空间K~n中两两互异的点A_1，A_2，…，A_m，在结点A_i处给定函数值f_i(i=1，…，m)，构造多项式p∈K[X_1，X_2，…，X_n]，满足Lagrange插值条件：p=f_i，i=1，…，m (1)其中X=(X_1，X_2，…，X_n)，与一元情形相似地，本文证明了定理满足插值条件(1)的多项式存在，并且按"序"最低的多项式是唯一的，上述多项式可利用第二章介绍的Lagrange-Hermite插值算法求出，Lagrange插值另一种描述是：按序从低到高给定单项式ω_1，ω_2，…，ω_m，对任意给定的f_1，f_2，…，f_m，构造多项式p，满足插值条件：p=sum from i=1 to m=Ai=f_i，i=1，…，m (2)如果插值多项式p存在且唯一，则称插值问题适定。

In this paper, through a series of experiments, two series of quaternary-ammounium Gemini surfactants were synthesized, namely the pair alkylene double quaternary ammonium salt surfactant m-s-m·2Br and the pair the alkylene double quaternary ammonium salt surfactant -s-·2Br. We has carried on the attribute with the infrared spectrum to its structure, and to affected the factor which the synthesis pair the alkylene double quaternary ammonium salt surfactant responded to carry on the discussion. We has discovered the synthesis pair the ethylene double quaternary ammonium salt surfactant m-2-m·2Br optimum condition: The bromo alkane and a tetramethyl ethylene diamine mole of ratio is 3.0: 1.0, makes the solvent by the ethyl alcohol, 80℃ under responds for 48 hours in the backflow temperature; Synthesis pair alkylene double quaternary ammonium salt surfactant 12-S-12 ·2Br optimum condition: 12 tertiary amine and 1, 3- propylene dibromide (1, 4- two bromines butane) a mole of ratio is 2.2: 1.0, makes the solvent by the ethyl alcohol, responds for 48 hours in the constant temperature 80 ℃ under backflow.

本文通过一系列的实验，合成了两个系列的Gemini型表面活性剂，即双烷撑双季铵盐表面活性剂m-s-m·2Br和双烷撑双季铵盐表面活性剂-s-·2Br，用红外光谱对其结构进行了表征，并且对影响合成双烷撑双季铵盐表面活性剂反应的因素进行了讨论，找出了合成双乙撑双季铵盐表面活性剂m-2-m·2Br的最佳条件：溴代烷与四甲基乙二胺的摩尔比为3.0：1.0，以乙醇作溶剂，在回流温度80℃下反应48小时；合成双烷撑双季铵盐表面活性剂12-s-12·2Br的最佳条件：十二叔胺与1，3-二溴丙烷(1，4-二溴丁烷)摩尔比为2.2：1.0，以乙醇作溶剂，在恒温80℃下回流反应48小时。

I'm Yours - Jason Mraz by Tetsu Well you done done me and you better felt it I tried to be chill but you so hot that i melted I fell right through the cracks and i'm tryin to get back before the cool done run out i'll be givin it my bestest and nothin's gonna stop me but divine intervention I reckon it's again my turn to win some or learn some i won't hesitate no more, no more, it cannot wait i'm yours Well open up your mind and see like me open up your plans and damn you're free look into your heart and you'll find love love love listen to the music of the moment maybe seen with me Ah, la peaceful melodie It's your god forsaken right to be loved loved loved loved Loved So, i won't hesitate no more, no more, it cannot wait i'm sure there's no need to complicate our time is short this is our fate, i'm yours I've been spendin' way too long checkin' my tongue in the mirror and bendin' over backwards just to try to see it clearer my breath fogged up the glass and so I drew a new face and laughed I guess what I'm a sayin'is there ain't no better reason to rid yourself of vanity and just go with the seasons it's what we aim to do our name is our virtue I won't hesitate no more, no more it cannot wait, i'm sure there's no need to complicate our time is short it cannot wait , i'm yours I won't hesitate no more, no more it cannot wait, i'm sure there's no need to complicate our time is short this is our fate , i'm yours no please don't complicate, our time is short this is our faith, im yours.

我和你-贾森mraz的演奏家和你做，你做的更好，我觉得我试着但你可肃杀热度下降爬到我滴我和我的裂痕得到tryin 回来才做的凉跑出去我会被它givin我bestest和nothin的制止我但是第二天神州我估计干预的又轮到我赢有的还是学习一些我不会犹豫了，不多，我也不能等到你打开你的心像我看到你的计划和开拓该死'再看看你的心自由，你就会发现爱恋爱听音乐的时候也许见氮与我啊，腊和平歌曲别忘了你的上帝权利被遗弃爱戴爱戴爱戴爱戴爱戴，我钨 on't犹豫了，没有更多，我敢肯定，不能等就不需复杂的时间短，这是我们的命运，我你们从小开支，'程过长checkin'我的舌头在镜子、抗弯'百般设法刚它清楚地看到了我的呼吸雾化玻璃等有新面貌，我提请我笑猜我是不是sayin'is有没有更好的理由摆脱自己的虚荣心，只是跟着季节的名称是什么我们的目标是尽我们美德，我不会犹豫了，没有米矿石不能等待，我当然就更不必复杂，时间虽短，我们不能等待，我你我不会犹豫了，不能再等待，我当然就更不必复杂，时间短，这是我们的命运，我没有你们不要复杂化，我们的时间短，这是我们的信心，肠你。

Suppose C is a Graph with k loops andf: G 梸- G is a continuous map with at least a peri- odic point. We prove the following three conditions are equivalent:(1) f is equicontinuous;(2) One of the following End + 2k + 1 conditions holds: in FJm.~0(E~+2L!= flJ1,m = l,2,挃,End J=1 + 2k; 1 0 = flf is a ioop on Gandf I~:0?- 0 is conjugate j=1 to a rational rotation;(3) One of the following End + 2k + 1 conditions holds: k m Lfl.m/~oE~(G+2i!~ is uniformly convergent, m = 1,2,,End+2k; n There is a poistive integer number n,~~~ is uniformly convergent.

假设G是含有k个圈的图，f是G到自身上的连续映射，并且至少有一个周期点，我们证明了下列三条陈述是等价的：（1）f是等度连续的；（2）下列End+2k+1个条件之一成立： m）F l）O=是G的一个圈，且fl_o：O→O共轭于一个有理旋转；（3）下列End+2k+1个条件之一成立： m）是一致收敛的，m=1，2，…，End+2k； l）存在某个正整数n，是一致收敛的。

Theorem 2 Let M~n be a compact totally real minimal submanifold in M~n which is a locally symmetric Bochner-Kaehler manifold.If the infimum of sectional curvature R_c in M~n satisfies: then M~n must be totally geodesic in M~n.

定理2 M~n是局部对称Bochner-Kaehler流形M~n中紧致全实极小子流形，如果M~n截面曲率下确界R_c满足：则M~n必是全测地的。

This invention relates to MIMO test method in a multi-user MIMO radio communication system including: estimating the channel matrixes of all users at the base station, computing an orthogonal projecting matrix M of the interference matrix of each user and transmitting M to each user periodically, receiving data sent by the base station at the user end and getting the orthogonal projecting matrix M from the received data, transforming the MIMO test of a desired user to the minimum value of a K-element secondary convex function, in which, K expresses the number of sending antennas and getting estimation of the test data by a ball test method.

一种多用户多输入多输出无线通信系统中的MIMO检测方法，包括步骤：在基站估计所有用户的信道矩阵；计算每个用户的干扰用户矩阵的正交投影矩阵M，并将每个用户的正交投影矩阵M定期发送给每个用户；在用户端接收基站发送的数据，并从接收的数据中得到正交投影矩阵M；利用正交投影矩阵M将期望用户的MIMO检测转化为K元二次凸函数的极小值，其中K表示对期望用户而言，发送天线的个数；利用球检测的方法，得到检测数据的估计。

The oogenesis of P. esculenta can be divided into the following phases in morphological characteristics of oogonium and oocyte development: the proliferative phase of oogonium (0μm in diameter), the initial growth phase of oocyte (10—20μm in diameter), the grand growth phase-Ⅰof oocyte (20—60μm in diameter), the grand growth phase-II of oocyte (60μm×70μm to 120μm×145μm in size), the mature phase of oocyte, and the declining phase, showing a dynamic changes in oogenesis of P. esculenta .

以卵原细胞与卵母细胞发育的形态学特征为依据，将可口革囊星虫的卵子发生过程划分为：卵原细胞增殖期(卵径0μm)、卵母细胞小生长期(卵径10—20μm)、卵母细胞大生长期Ⅰ(卵径20—60μm)、卵母细胞大生长期Ⅱ[大小为(60μm×70μm)—(120μm×145μm)]、卵母细胞成熟期及退化期6 个阶段，反映了可口革囊星虫卵子发生过程的动态变化。

Theorem 3 Let M~n be a compact totally real 2-harmonic submanifold in M~n which is a locally symmetric Bochner-Kaehler manifold.If Ricci curvature of M~n is nonegative and positive at a point at least,then the holomorphic sectional curvature of M~n is a postive constant number.

定理3设M~n是局部对称Bochner-Kaehler流形M~n的紧致全实2-调和子流形，若M~n的Ricci曲率非负且至少在一点为正，则M~n具有正常数全纯截面曲率。

Say goodbye say goodbye to Hollywood I thought I had it all figured out I did I thought I was tough enough to stick it out with kim But I wasn't tough enough to juggle two things at once I found myself planted on my knees in cuffs Which shoulda been a reason enough for me to get my stuff and just leave How come I couldn't just see this shit myself it's me Nobody coulda seen this shit I felt Knowin' damn well she wasn't gonna be there when I fell To catch me the minute she was seen she just bailed I'm standin' and swingin' on like 30 people by myself I couldn't even see the millimeter when it fell Turned around saw Gary stashin' a heater in his belt Saw the bouncers rush him and beat him to the ground I just sold 2 million records I don't need to go to jail I'm not about to lose my freedom over no female I need to slow down, trynna get my feet on solid ground So for now Bury my face in comic books,'cuz I don't wanna look And nothin' in this world is too much I swallowed all I could If I could swallow a bottle of Tylenol I would And hit it for good and say goodbye to Hollywood I prolly should 'cuz these problems are piled all at once 'Cuz everything that bothers me I got all bottled up I think I'm bottomin' out but I'm not about to give up I gotta get up, thank God I got a little girl Now I'm a responsible father so not alotta good I'd be to my daughter layin' in the bottom of the mud Must be in my blood 'cuz I don't know how to do it All I know is I don't wanna follow in the footsteps Of my dad 'cuz I hate him so bad Worst feelin' I had was growin' up to be like his fuckin' ass Man if you could understand why I am the way that I am What do I say to my fans when I tell 'em I don't wanna quit, but shit, I feel like this is it, for me to have this much appeal like this is sick This is not a game this fame the real life is as sick Publicity stunt my ass, consume my fuckin' dick Fuck the guns, I'm done I'll never look at gats If I scrap, I'ma scrap it like I never wooped some ass I love my fans but no one ever puts a grasp on the fact That I sacrificed everything I had I never dreamt I'd get to the level that I'm at This is wack, this is more then I ever coulda asked Everywhere I go I had a sweater, hood or mask What about math?

说再见说再见好莱坞我想我已全部揣摩我本来我以为我是足够强硬的坚持，它与金但我是不足够的强硬，以兼顾两件事，在一次我发现自己种植在我的双膝在袖口其中shoulda一直有足够的理由，我得到我的东西和刚刚离开如何来，我不能只看到这个shit外围它自己的我没有人coulda看到这个shit外围我觉得 knowin '可恶，以及她在哪里也不会存在，当我下跌要赶上我一分钟，她看到她刚刚获准保释我standin '的Swingin '就好像30人，由本人我不能，甚至看到毫米，当它下跌回过头看到程介南斯塔欣'了一个加热器，在他的带看到bouncers繁忙，他和殴打他到地面我只售出了200万的纪录，我不用去坐牢我不是即将失去我的自由，没有超过女性我要放缓， trynna让我立足于坚实的地面所以现在埋葬我的脸在漫画书，' cuz我不想看和nothin '在这个世界上是太多 i吞噬了所有我可以如果我能吞下了一瓶tylenol我想和打为好，说声再见好莱坞 i prolly应' cuz这些问题都是成堆一次全部' cuz的一切困扰我，我得到的所有瓶装起来我觉得我bottomin '，但我并不打算放弃 i的宝贝，起床，感谢上帝，我得到一个小女孩现在，我一个负责任的父亲，所以不alotta良好我要以我的女儿layin '在底部的淤泥必须在我的血' cuz我不知道怎样做所有我知道是我不想在后续的脚步我的爸爸' cuz ，我恨他那么差劲最坏的feelin '我曾是growin '要像他fuckin '驴男子如果您能明白为什么我的方式，我我该怎么办说我的球迷，当我告诉骰子我不想退出，但shit外围，我觉得像，这是它，我有这么多的上诉像这样生病了这不是游戏，这名利的现实生活是病假宣传我的驴，消耗我fuckin '迪克他妈的枪，我做我永远不会看服务贸易总协定如果我放弃，我放弃它想我从来没有wooped一些驴我爱我的球迷，但没有人把掌握了这一事实我牺牲了一切，我曾我从来没有想过我要到的水平，我在这是wack ，这是更多的话，我以往任何时候都coulda问我到处都可以了毛衣，遮光罩或面具关于数学是什么？

Sometimes I just feel like, quitting I still might Why do I put upthis fight, why do I still write Sometimes it's hard enough just dealin wit real life Sometimes I wanna jump on stage and just kill mics And show these people what my level of skills like But I'm still white, sometimes I just hate life Something ain't right, hit the brake lights Case of the stage fright, drawin a blank light Da-duh-duh-da-da, it ain't my fault Great big eyeballs, my insides crawl And I clam up, I just slam shut I just can't do it, my whole manhoods Just been stripped, I have just been vicked So i must then get, off this bus then split Man fuck this shit yo, I'm going the fuck home World on my shoulders as I run back to this 8 mile road I'm a man, I'ma make a new plan Time for me to just stand up, and travel new land Time for me to just take matters into my own hands Once I'm over these tracks man I'ma never look back (8 mile road) And I'm gone, I know right where I'm going Sorry mama I'm grown, I must travel alone Ain't gunna follow these footsteps, I'm making my own Only way I know how to escape from this 8 mile road I'm walking these train tracks, tryin to regain back the spirit I had fore I go back to the same crap To the same plant, in the same pants Tryin to chase rap, gotta move ASAP And get a new plan, mommas got a new mam Poor little baby sister, she don't understand Sits in front of the T.V, buries her nose in the pad And just colors until the crayon gets dull in her hand While she colors her big brother, her mother and dad Ain't no tellin what really goes on in her little head Wish I could be the daddy that neither one of us had But I keep runnin from something I never wanted so bad!

有时候，我不安，因为我不是尚未引爆这就像我长大的，但我是不会长大我两个坚果尚未不要有代表我的一步，没有获得足够的肽的压力很大的人，我只是设法做最新最好的和我尝试，单独坐在我哭泣哟我不会告诉任何谎言，而不是目前的推移我不祈求天空，请我开始你的上帝请不要让我bitchin holdin没有固定工作哟我希望你能听到我家无论身处何地哟我tellin您dawg我白琳这拖车明天告诉我的妈妈我爱她，亲吻婴儿的妹妹再见说你需要我whenevr婴儿我永远远但是，你我有爱摆脱的唯一途径，我知道和我回到你的第二个，我的打击我拥有的一切，我会成为我自己去工作，我去，回到这个八英里道我一个人，我作出了一项新的计划时间对我来说，只是站起来，新的土地和旅行时间对我来说，只是考虑到我的问题自己手中一旦我对这些歌曲的人我从来没有回头看（ 8英里路）和我走了，我知道在那里我会对不起妈妈我长大，我必须单独旅行不是贡纳按照下列脚步，我让我自己唯一的办法，我知道如何摆脱这个8英里道你得活到觉得，你没有你不会得到它或看到什么大问题是，为什么这不是skillest 这是walkin寄宿线底特律城市的界限这是不同的，这在一定意义，证书的真实性，您甚至从来没有见过但everthing对我来说，这是我的信誉你从来没有见过或听说闻见了一个真正的三菱商事谁是难以置信的相同pedastal为我可是我仍然未签名的，有一个粗略的时间坐在门廊智慧我的所有朋友和踢哑巴儿歌去工作和服务三菱商事的在lunchline 但是在关键时刻，我punchlines哪里去谁，我必须表明，我国流动到胸部如果要我去，我必须知道谁还是我刚才在另一个蟹斗因为我不是没有运气havin与这个小兔子，以便他妈的它也许我需要一个新的出路，我startin怀疑狗屎我有点怀疑feelin谁余空闲时我看起来像一个流浪汉，你我的衣服是不是狗屎在救世军设法挽救一个装备和它的冷设法前往这道另外我觉得对滞留在该battlin模式我的防守是如此，并有一件事我不想遗憾的是没有人，这个城市是没有乐趣没有太阳，真是太黑暗有时候，我只是觉得我被分开从每一个我的四肢，每一个我的一个朋友这足以使我只是想跳出我的皮肤有时我觉得自己像一个机器人，有时我只是不知道是我的乐队我的打击，我的头是一个炉灶顶部我只是爆炸，水壶会这么热有时候，我的嘴刚刚超载的屁股，我没有但是，我学到了，现在是时候让我掉头你只需要一个时间，我引火烧身不是不属于任何下一次我遇到一个新的女孩我可以不再扮演笨或未成熟我每一个组成部分，我需要的是勇气就像我已经有了节拍，所有我需要的话得到的冲动，突然它的进口激增突然爆发的一个新的能源已经发生时间显示这些自由世界领导人在三个第三我不再害怕现在，我作为一个自由鸟然后我又和越过中间遏制击中动词和所有你看到的是一个模糊的8英里道我一个人，我作出了一项新的计划时间对我来说，只是站起来，新的土地和旅行时间对我来说，只是考虑到我的问题自己手中一旦我对这些歌曲的人我从来没有回头看（ 8英里路）和我走了，我知道在那里我会对不起妈妈我长大，我必须单独旅行不是贡纳按照下列脚步，我让我自己唯一的办法，我知道如何摆脱这个八英里道

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。