查询词典 three dimensional

A new type of two-dimensional multichannel acousto-optic modulators is made, and its characteristics are measured.

研制了二维多通道声光器件，测试了器件的各种特性，实验结果与理论分析相符。

Two-dimensional materials like monolayers and thin films often exhibit interesting properties with a wide range of applications.

在低维材料中，二维的原子多层膜有着相当广泛的应用，并且有许多奇特的性质。

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 addition, because motion vectors must be estimated in the process of region's motion parameters estimation, this paper discussed the theory and general methods of two-dimensional motion estimation and proposes a fast motion estimation algorithm based on the prediction of neighbour block's motion vector.

此外，由于在区域的运动参数估计过程中涉及到对运动矢量的估计，因此本文还讨论了二维运动矢量估计的原理和一般方法，并提出了一种基于邻域子块的运动矢量预测的快速运动估计算法。

In this paper we propose a one-dimensional muonic atom model, on which the time-dependent Schrdinger equation is numerically solved by Crank-Nicholson method.

本文提出了一个一维μ介子原子模型，用数值积分方法求解了在超强激光场作用下该模型原子的含时Schrdinger方程，得到了它的高次谐波发射谱。

It follows that compression and therefore the dimensional consistency and qualitative excellence are both absolute musts.

因此，压缩，因此立体卓越的一致性和质量都是绝对务必。

This structure is an N-dimensional matrix, which is a bit hard to visualize.

这个结构是一个 N －维的矩阵，要可视化它有点困难。

In the second capter, we give the fundamental solution of the n-dimensional transport equation.

第二章导出了n维输运方程的基本解。

When the n-dimensional single food-chain system has metabolic function the stability of solution is discussed in this paper.

本文讨论了单食物链情况下，n种群Chemostat系统具有代谢功能时，解的渐近性

It is assumed here that ∑ is the same n-dimensional state space at all t ∈T .

如果状态空间的维数发生变化需要使用符号表示，对于 t ∈ T 系统的维数都是 n 维。

Alternatively, the con- trollers can use the synchronous rectifier itself or loss- less inductor current-sensing methods to provide overload protection with lower power dissipation.

另外，康威特罗勒斯可以使用同步整流器本身或亏损减少电感电流检测方法，以提供低功耗过载保护。

Mr. Dauber's other Schatz hangs in his home movie studio.

多伯把沙兹的另一件作品挂在家里的电影室。