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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。

According to the present situations of the two production lines and the temperature needed by the producing technics of the heat-exchanger , using the numerical simulation with the Airpark software to analyze the reason why the cooling system can not meet the technicals requirement; with the heat transfer theory computation based on the heat transfer principle, the technical parameters of the cooling sect refer to the system technic and configuration are obtained. That are made for reasonable organization of the airflow of the cooling system and the new cooling equipment achieving the technical requirement. At the same time, it will ease the thermal pollution of the circumjacent environment and improve IAQ of the workshop

根据某厂两条换热器生产流水线的现状和冷却降温的工艺要求,用Airpark 软件进行数值模拟,分析了冷却系统无法满足工艺要求的原因;运用传热学原理进行了设备与环境的传热理论分析和计算,分析了冷却系统无法满足工艺要求的原因,得出了改造所需要的技术与结构参数,并对冷却系统进行合理布局与气流组织,使新的冷却系统发挥了应有的作用,满足了生产工艺的要求,同时也减轻了生产环境的热污染,提高了环境的空气品质。

The result shows that the activator which was made up of organic acid and organic amine complex satisfied the prospective demand.

结果表明:采用有机酸和有机胺复配制备的活性物质满足预期要求;复配溶剂满足沸点、黏度和极性基团三大原则;所制备的免清洗焊剂多项性能满足规范要求,达到了免清洗的要求,解决了助焊性与腐蚀性的矛盾;所制备的焊膏焊接性能良好,无腐蚀,固体残留量低,存储寿命较长。

Second, when the system does not satisfy such detectability but satisfy other conditions, there is a gain matrix ensuring the asymptotic convergence of the observer error, and the sufficient conditions and the method of solving gain matrix are obtained similarly.

其次, 当系统不满足该可检测性,但满足其它条件时,仍存在使得观测误差渐近收敛的增益矩阵,并类似地得到了增益矩阵满足的充分性条件和计算方法。

I do not wish to discuss Heliogabalus, Macrinus, or Julian, who, being thoroughly contemptible, were quickly wiped out; but I will bring this discourse to a conclusion by saying that princes in our times have this difficulty of giving inordinate satisfaction to their soldiers in a far less degree, because, notwithstanding one has to give them some indulgence, that is soon done; none of these princes have armies that are veterans in the governance and administration of provinces, as were the armies of the Roman Empire; and whereas it was then more necessary to give satisfaction to the soldiers than to the people, it is now more necessary to all princes, except the Turk and the Soldan, to satisfy the people rather the soldiers, because the people are the more powerful.

至于埃利奥加巴洛、马克里诺、尤里亚诺等人,我就不打算议论了,因为他们都是十足可鄙的,所以很快就给消灭了。但是我想就上面的论述总结一下。我认为,我们这个时代的君主们要使自己政府的军队特别满意,其困难比往时减少了,因为尽管他们必须对那些军队给以某些照顾,可是如有任何困难很快就获得解决了。我们这个时代的任何一位君主都没有一支军队象罗马帝国的军队那样,同政府和地方行政当局一道根深蒂固。如果说,在罗马帝国时代,满足军人比满足人民更有必要,那末现在所有的君主,除了土耳其皇帝和苏丹之外,满足人民倒是比满足军人更有必要,因为现在人民比军人更有力量了。

Animals are easy to be satisfied after their physiological needs, hunger, thirstiness and sexual desire are satisfied.

动物在满足了生理需要、饥渴和性欲之后很容易就满足了,与此相同,这些需要人类也必须得到满足,但是人与动物的差别也正在与此,这些本能的满足并不能够使人类感到幸福与健全。

Animals are easy to be satisfied after their physiological needs, hunger, thirstiness and sexual desire are satisfied. In the way, these needs of human beings must be satisfied. But

动物在满足了生理需要、饥渴和性欲之后很容易就满足了,与此相同,这些需要人类也必须得到满足,但是人与动物的差别也正在与此,这些本能的满足并不能够使人类感到幸福与健全。

Animals are easy to be satisfied after their physiological needs, hunger, thirstiness and sexual desire are satisfied. In the way, these needs of human beings must be satisfied. But the difference between human beings and animals is just at this point, that is, the satisfaction of these instincts can not make people feel happy and enough.

动物在满足了生理需要、饥渴和性欲之后很容易就满足了,与此相同,这些需要人类也必须得到满足,但是人与动物的差别也正在与此,这些本能的满足并不能够使人类感到幸福与健全。

The dissertation includes:◆General research of canonic VSC The contents are following: the cause and eliminating approach of chattering; Invariance property; the relation between VSC and high-gain linear feedback control.

讨论了产生不变性的条件;揭示了VSC与大增益线性反馈控制的等价关系;提出了用切换面邻域内的稳定性来分析抖动起因的方法。◆研究了不确定系统的VSC设计分别针对满足匹配条件但集总不确定部分上界不确知、不满足匹配条件但满足广义匹配条件、不满足广义匹配条件等情况,研究了其VSC设计问题。

The adhesive for honeycomb paper board has complete varieties covering the whole industry, such as cold-press adhesive for agglutination and hot-press adhesive for agglutination, flexible adhesive film and rigid adhesive film, low-speed adhesive and high-speed adhesive, slow-drying adhesive, quick-drying adhesive and instant-drying adhesive, so it can meet various demands of producing honeycomb paper board..

我公司蜂窝纸板专用胶品种齐全,覆盖整个蜂窝纸板行业,完全能满足各种纸蜂窝设备生产蜂窝纸板及蜂窝纸板制品,既有冷压粘合用胶,又有热压粘合用胶;既有弹性胶膜胶,又有刚性胶膜胶;既有低速胶,又有高速胶(复面胶能满足每分钟开机速度为4—30米复面制版的要求,芯条胶能满足开机速度为10—200米/分钟的制芯要求;既有慢干胶,又有块干、速干和瞬干胶,能满足不同干燥要求的需要。

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In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是,在否定句或疑问句里,这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷

Nusa lembongan : Bali's sister island, coral and sand beaches, crystal clear water, surfing.

Nusa Dua :豪华度假村,冲浪和潜水,沙滩,水晶般晶莹剔透的水,网络冲浪。