查询词典 one dimensional

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。

E. , the "parallel succession","multi-branches from one trunk", and "chain links". The relationship of the three is a relative independence and a relative unity, which lead to a complex and three-dimensional artistic entity. As a consequence, Zhuang T zu is characterisitic of being pregnant with allegoric morals, of its boundless volume and ca...

这三种方式既相对独立又相对统一，构成了一个立体化，复合式的艺术整体，从而使《庄子》得以充分显示"寓言十九"的特征，海负山涵的容量及其独特的美学效果；标志着古典散文经过长期的发展，已从简单的语录体演进为讲究内部联系，追求结构严谨的新文体。

I was watching a news show last week when the anchorman calmly announced that they were about to project a three dimensional hologram of one of their reporters into the newsroom.

我是看新闻节目上周当主持人冷静地宣布，他们即将项目的三维全息他们的一个记者到编辑部。

Flash is the latest one of the most popular animation software in two-dimensional animation with overwhelming superiority.

Flash是当今最新最流行的动画设计软件之一，在二维动画方面具有压倒性的优势。

Is it take as idiom , one characteristic of proverb to signify, language in article can appear their subject meaning directly among the structure, But it can through some apt thing, phenomenon having three-dimensional janitoring and showing idioming, meaning of proverb vivid that understand, so as to make people apter to understand the idiom , proverb.

象征化作为成语、谚语的一种特性，在文章的语言结构中不会直接呈现其主体含义。但它能通过一些易懂的事物、现象更生动的具有立体的传达和显示成语、谚语的含义，以此让人们更容易理解成语、谚语。

The vertical boundaries are both adiabatic where one is an axis of symmetry andthe other is remote from the building. A two-dimensional

垂直边界两个绝热应变一个人是一个对称轴和另一个远离大楼。

But with the arrival of the countdown, the screen appeared a beautiful image of Lijiang, followed by a variety of ethnic minorities out of Monty, the full platform of the station, which is only found in the plane looked yellow background, it is three-dimensional tea Horse Road, every layer of all of a small winding road, a small inconspicuous hole, the actor who inadvertently from a hole in one to emerge from the first stage of a few people, all of a sudden change Into dozens, hundreds, mighty, there are people who, after riding the bypass, coupled with a very beautiful, soft music, is simply too beautiful.

但进入倒计时，屏幕上出现一个美丽的形象，丽江，其次是各种少数民族的蒙蒂，充分平台站，只发现了飞机看着黄色背景，它是三三维茶马古道，每一层的所有小曲折的道路，一个小不显眼的洞，演员谁无意中从一个洞，一个摆脱了第一阶段的几个人，突然转变为几十，几百人，强大的，有人民谁，骑车绕行，加上非常漂亮，轻音乐，太漂亮。

This paper presents a fast algorithm based on the measured equation of invariance.Conformal meshes are made along the surface of two-dimensional scatterer.Renumbering of nodes changed the original sparse matrix into band one,and the consumption of computer memory and CPU time decrease from O(N2) to O.Via this new algorithm,electrically large problem can now be rapidly solved.

提要 本文基于不变性测试方程法提出一种快速算法，在二维散射体表面建立共形差分网格后，通过对节点的重新排序，将原问题中的稀疏矩阵变换为带状稀疏阵，从而使占用的计算机内存和计算时间均由O(N2)下降为O，可以解决原来无法计算的问题。

As the earth then occupies its three-dimensional phase of experience in our own solar system, and as each of those companions that are about the solar system represents as it were one of the phases of our conscience - the elements of our understanding - or our senses; then they each in their place, in their plane, bear a relationship to us, even as our desires for physical sustenance; that is: foods for the body; with all of the attributes, all of the abilities to take that we feed upon and turn it into elements for our body.

在太阳系中，地球是三维空间的，代表了我们意识范畴内的三个层面---理解的基本元素---或感知。他们中的每个方面均与我们相关，例如我们身体的基本欲望：食物为了生存，喂养我们的身体。

Starting from two-line soliton solution of an integrable2+1-dimensional system in bilinear form,one can find a dromion solution that is localized in all directions for a suitable potential.

从2+1维双线性形式的非局域BussinesqNLBQ方程和KP方程的隐线孤子解出发，可以找到与某种势所相应的各方向都指数衰减的dromion解。

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。