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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 such a showy era, in such a each other strange society, such a person so loves a person arduously, whether deserve?

在这样一个浮华的时代，这样一个彼此陌生的社会里，这样的一个人这样辛苦地去爱一个人，是否值得呢？

The countries of the Union shall not be required to apply the said provisions when the use or registration referred to in subparagraph, above, is not of such a nature as to suggest to the public that a connection exists between the organization concerned and the armorial bearings, flags, emblems, abbreviations, and names, or if such use or registration is probably not of such a nature as to mislead the public as to the existence of a connection between the user and the organization.

当上述第（1）项所指的商标使用和注册不会使公众理解为该有关组织与这种纹章、旗帜、标志、缩写和名称有联系时，或者如果这种使用和注册不会使公众误解为使用人与该组织有联系时，即不应要求本同盟成员国适用该项规定。

Let us imagine a coming generation with such intrepidity of vision, with such a heroic penchant for the tremendous; let us imagine the bold stride of these dragon-slayers, the proud audacity with which they turn their back on all the weaklings' doctrines of optimism in order to "live resolutely" in wholeness and fullness: would it not be necessary for the tragic man of such a culture, in view of his self-education for seriousness and terror, to desire a new art, the art of metaphysical comfort, to desire tragedy as his own proper Helen, and to exclaim with Faust

今日的艺术已显出这种普遍的困难：他们徒然依赖一切伟大创造时代和创造天才作为榜样；人们徒然搜集全部"世界文学"放在现代人周围以安慰他；人们徒然使人置身于历代艺术风格和艺术家中间，以便一一命名，象亚当给走兽命名那样；然而，读者始终是饥肠辘辘，"批评家"则愁眉苦脸，没精打彩，象亚历山德里亚的学者们那样，他们毕竟是图书馆员和校勘者，可怜让书上尘埃和误刊错字弄得失明。

I thank the gods for giving me such a brother, who was able by his moral character to rouse me to vigilance over myself, and who, at the same time, pleased me by his respect and affection; that my children have not been stupid nor deformed in body; that I did not make more proficiency in rhetoric, poetry, and the other studies, in which I should perhaps have been completely engaged, if I had seen that I was making progress in them; that I made haste to place those who brought me up in the station of honour, which they seemed to desire, without putting them off with hope of my doing it some time after, because they were then still young; that I knew Apollonius, Rusticus, Maximus; that I received clear and frequent impressions about living according to nature, and what kind of a life that is, so that, so far as depended on the gods, and their gifts, and help, and inspirations, nothing hindered me from forthwith living according to nature, though I still fall short of it through my own fault, and through not observing the admonitions of the gods, and, I may almost say, their direct instructions; that my body has held out so long in such a kind of life; that I never touched either Benedicta or Theodotus, and that, after having fallen into amatory passions, I was cured; and, though I was often out of humour with Rusticus, I never did anything of which I had occasion to repent; that, though it was my mother's fate to die young, she spent the last years of her life with me; that, whenever I wished to help any man in his need, or on any other occasion, I was never told that I had not the means of doing it; and that to myself the same necessity never happened, to receive anything from another; that I have such a wife, so obedient, and so affectionate, and so simple; that I had abundance of good masters for my children; and that remedies have been shown to me by dreams, both others, and against bloodspitting and giddiness...; and that, when I had an inclination to philosophy, I did not fall into the hands of any sophist, and that I did not waste my time on writers of histories, or in the resolution of syllogisms, or occupy myself about the investigation of appearances in the heavens; for all these things require the help of the gods and fortune.

我感谢神明给了我这样一个兄弟，他能以他的道德品格使我警醒，同时又以他的尊重和柔情使我愉悦；感谢神明使我的孩子既不愚笨又不残废，使我并不熟谙修辞、诗歌和别的学问，假如我看到自己在这些方面取得进展的话，本来有可能完全沉醉于其中的；我感谢神明使我迅速地给予了那些培养我的人以他们看来愿意有的荣誉，而没有延宕他们曾对我寄予的愿我以后这样做的期望（因为他们那时还是年轻的）；我感谢神明使我认识了阿珀洛尼厄斯、拉斯蒂克斯、马克西默斯，这使我对按照自然生活，对那种依赖神灵及他们的恩赐、帮助和灵感而过的生活得到了清晰而巩固的印象，没有什么东西阻止我立即按照自然生活，然而我还是因为自己的过错，因为没有注意到神灵的劝告（我几乎还可以说是他们的直接指示）而没有达到它；我的身体置于这样一种生活之外如此之久，我从未达到本尼迪克特或西奥多图斯的高度，但在陷入情欲之后，我还是被治愈了；虽然我常常达不到拉斯蒂克斯的那种气质，但还是没有做过使我悔恨的事情；虽然我母亲不能尽其天年而终，但她最后的年月是与我在一起的；在我希望帮助任何需要帮助的人的时候，或在任何别的场合，我都不感到我缺乏这样做的手段；而对我自己来说却不会有同样的需要：即需要从别人那里得到的东西；我有一个十分温顺、深情和朴实的妻子；我有许多优秀的教师来教育我的孩子；通过梦和其他办法，我发现各种药物来治疗咯血和头昏……当我有一种对哲学的爱好时，我没有落入任何诡辩家之手，没有在历史作品上，或者在三段论法的解决上浪费时间，也没有专注于探究天国的现象；而上面所有这些事情都要求有神灵和命运的帮助。

I thank the gods for giving me such a brother, who was able by his moral character to rouse me to vigilance over myself, and who, at the same time, pleased me by his respect and affection; that my children have not been stupid nor deformed in body; that I did not make more proficiency in rhetoric, poetry, and the other studies, in which I should perhaps have been completely engaged, if I had seen that I was making progress in them; that I made haste to place those who brought me up in the station of honour, which they seemed to desire, without putting them off with hope of my doing it some time after, because they were then still young; that I knew Apollonius, Rusticus, Maximus; that I received clear and frequent impressions about living according to nature, and what kind of a life that is, so that, so far as depended on the gods, and their gifts, and help, and inspirations, nothing hindered me from forthwith living according to nature, though I still fall short of it through my own fault, and through not observing the admonitions of the gods, and, I may almost say, their direct instructions; that my body has held out so long in such a kind of life; that I never touched either Benedicta or Theodotus, and that, after having fallen into amatory passions, I was cured; and, though I was often out of humour with Rusticus, I never did anything of which I had occasion to repent; that, though it was my mother's fate to die young, she spent the last years of her life with me; that, whenever I wished to help any man in his need, or on any other occasion, I was never told that I had not the means of doing it; and that to myself the same necessity never happened, to receive anything from another; that I have such a wife, so obedient, and so affectionate, and so simple; that I had abundance of good masters for my children; and that remedies have been shown to me by dreams, both others, and against bloodspitting and giddiness...; and that, when I had an inclination to philosophy, I did not fall into the hands of any sophist, and that I did not waste my time on writers of histories, or in the resolution of syllogisms, or occupy myself about the investigation of appearances in the heavens; for all these things require the help of the gods and fortune.

感谢诸神，赐我如此优秀的一位兄弟，他能够用自己的德行唤起我的自律，同时又用他的尊重和友情感动我；感谢诸神，我的孩子聪明伶俐，健康活泼；我没有沉迷于修辞、诗歌和其它这类学习，如果我以前发现自己学习这些东西时有所进步，那我可能会全身心投入其中；我毫不迟疑地把荣誉颁给那些抚育我成长的人，他们希望得到这一荣誉，但有人希望我过些时候再这么做，因为他们还年轻，我拒绝了；我还认识了阿波罗尼乌斯、汝斯堤古和马克西米鲁斯。清晰的印象经常出现在我心中，告诉我顺生自然，告诉我那是一种什么样的人生，因此，只要依靠诸神及其赐福，其保佑，其启示，就没有什么能阻止我顺生自然，尽管由于我自身的不足和没有注意诸神的警告（或者差不多可以说是诸神的直接指令），我还不能完全做到；我的身体已经维持了很长一段时间这种生活；我永远不会接触本尼迪克特或狄奥多士，我曾经陷入恋爱的激情，但现在已经摆脱；当我和汝斯堤古在一起时常常发脾气，但我从来没有做过一件让人后悔的事；尽管命中注定我母亲要夭亡，但她生命中的最后一年是和我一起度过的；每当我希望为人排忧解难或做其它事的时候，我从未告诉别人我爱莫能助；对我自己而言我从未陷于一筹莫展之地，需要别人的帮助；我有一位如此贤惠的妻子，温顺、挚爱、单纯；我的孩子有足够的好老师；神通过梦和其他方式向我指明了药物，用来治疗咳血、眼花等等疾病；当我迷上哲学时，没有被任何一个智者所迷惑，我没有浪费时间去撰写历史，思考三段论，或研究天象；因为所有这些需要得到神和命运的帮助。

Our grab nickel production, nickel is mainly used to crawl Hard fine powder, red clay minerals such as highly viscous due to the recent nickel Hard fine powder, red clay and other minerals to be widely used, so Many major ports on the existence of such a problem, in which the ore handling when loading and unloading there is a low efficiency, has been a lot of ore grab adhesive wall, our company in order to solve this dilemma has been studied and produced by such a professional crawl very sticky ore grab, the principle is: grab the lowbeam calculated to increase the adoption of two pieces of solder, including the specific location of board and grab the bucket to create a circular flap, so Open grab discharging, the fight is on board, including the body wall from the top down (no contact with body panels Doo), to stick the body in fighting the viscous wall down, including mine, so, which greatly improved the handling grab the efficiency of ports and factories to solve the problem, which is purpuratus grab a patent, other manufacturers can not be produced.

加入技术通，科易助您成功！我公司生产的镍矿抓斗，主要用来抓取镍矿、铁精粉、红粘土等粘性很强的矿石，由于近来镍矿、铁精粉、红粘土等矿石在被人们广泛使用，因此，许多大港口就存在着这样一个问题，在装卸这此矿石的时候，存在着装卸效率低，抓斗内壁被很多矿石粘着，我公司为了解决这一难题，现已研究并生产出来这种专业抓取很粘的矿石抓斗，原理是：在抓斗的下承梁上通过计算得出要加焊俩块括板的具体位置，并要把抓斗的斗瓣做成圆形，这样在抓斗打开卸料时，括板就在斗体内壁从上而下，把粘在斗体内壁的粘矿括了下来，所以，这就大大提高了抓斗的装卸效率，为港口和工厂解决了这一难题，这种抓斗是紫石的一项专利，其它厂家是无法生产出来的。

Our grab nickel production, nickel is mainly used to crawl Hard fine powder, red clay minerals such as highly viscous due to the recent nickel Hard fine powder, red clay and other minerals to be widely used, so Many major ports on the existence of such a problem, in which the ore handling when loading and unloading there is a low efficiency, has been a lot of ore grab adhesive wall, our company in order to solve this dilemma has been studied and produced by such a professional crawl very sticky ore grab, the principle is: grab the lowbeam calculated to increase the adoption of two pieces of solder, including the specific location of board and grab the bucket to create a circular flap, so Open grab discharging, the fight is on board, including the body wall from the top down (no contact with body panels Doo), to stick the body in fighting the viscous wall down, including mine, so, which greatly improved the handling grab the efficiency of ports and factories to solve the problem, which is purpuratus grab a patent, other manufacturers can not be produced.

搜索关键字：镍矿抓斗，矿石抓斗，红粘土抓斗，砂石料抓斗我公司生产的镍矿抓斗，主要用来抓取镍矿、铁精粉、红粘土等粘性很强的矿石，由于近来镍矿、铁精粉、红粘土等矿石在被人们广泛使用，因此，许多大港口就存在着这样一个问题，在装卸这此矿石的时候，存在着装卸效率低，抓斗内壁被很多矿石粘着，我公司为了解决这一难题，现已研究并生产出来这种专业抓取很粘的矿石抓斗，原理是：在抓斗的下承梁上通过计算得出要加焊俩块括板的具体位置，并要把抓斗的斗瓣做成圆形，这样在抓斗打开卸料时，括板就在斗体内壁从上而下，把粘在斗体内壁的粘矿括了下来，所以，这就大大提高了抓斗的装卸效率，为港口和工厂解决了这一难题，这种抓斗是紫石的一项专利，其它厂家是无法生产出来的。

Our grab nickel production, nickel is mainly used to crawl,铁精粉, red clay minerals such as highly viscous due to the recent nickel 铁精粉, red clay and other minerals to be widely used, so Many major ports on the existence of such a problem, in which the ore handling when loading and unloading there is a low efficiency, has been a lot of ore grab adhesive wall, our company in order to solve this dilemma has been studied and produced by such a professional crawl very sticky ore grab, the principle is: grab the next 承梁 calculated to increase the adoption of two pieces of solder, including the specific location of board and grab the bucket to create a circular flap, so Open grab discharging, the fight is on board, including the body wall from the top down (no contact with body panels Doo), to stick the body in fighting the viscous wall down, including mine, so, which greatly improved the handling grab the efficiency of ports and factories to solve the problem, which is purpuratus grab a patent, other manufacturers can not be produced.

普通会员不能显示联方式，只能给他留言我公司生产的镍矿抓斗，主要用来抓取镍矿、铁精粉、红粘土等粘性很强的矿石，由于近来镍矿、铁精粉、红粘土等矿石在被人们广泛使用，因此，许多大港口就存在着这样一个问题，在装卸这此矿石的时候，存在着装卸效率低，抓斗内壁被很多矿石粘着，我公司为了解决这一难题，现已研究并生产出来这种专业抓取很粘的矿石抓斗，原理是：在抓斗的下承梁上通过计算得出要加焊俩块括板的具体位置，并要把抓斗的斗瓣做成圆形，这样在抓斗打开卸料时，括板就在斗体内壁从上而下，把粘在斗体内壁的粘矿括了下来，所以，这就大大提高了抓斗的装卸效率，为港口和工厂解决了这一难题，这种抓斗是紫石的一项专利，其它厂家是无法生产出来的。

Just a perfect day Drink sangria in the park And then later, when it gets dark, we'll go home Just a perfect day Feed animals in the zoo Then later a movie too, and then home Chorus: Oh it's such a perfect day I'm glad I spent it with you Oh such a perfect day You just keep me hanging on Just a perfect day Problems all left alone Weekenders on our own It's such fun Just a perfect day You make me forget myself I thought I was someone else Someone good Chorus You're going to reap just what you sow

perfect day》中文歌词真是个好日子在公园喝了桑格亚酒然后天就黑了，我们将要回家是个好日子在动物园喂完动物然后又看了电影，然后回家哦这是多完美的一天呀我很高兴我和你在一起哦如此完美的一天你坚定了我的渴望真是个好日子所有问题都不见了周末旅行者就是我们自己这多好是个好日子你让我忘掉我自己我以为我是一个其他的什么人一个好人你将会收获你播下的东西

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。