查询词典 infinite dimensional

As the fourth allotrope of condensed carbon, the carbon nanotubes have been attracted more and more attention and applied widely in many fields owing to their quasi one-dimensional infinite nanostructures and unique mechanics, electron transport and gas adsorption properties.

碳纳米管(carbon nanotubes，CNTs)作为碳的第四种同素异形体，由于其准一维的管状纳米结构，以及独特的机械、电子传导、气体吸附等性质，越来越被人们所关注和研究，并已在多种领域得到广泛的应用。

The nonlinear stability of three-dimensional disturbances for the Blasius boundary layers is studied. We adopted here the high accuracy method of using the expansions in orthogonal functions along the normal direction and the effective algebraic mapping to deal with the problem in the infinite region. The initial solutions of two-dimensional harmonic waves are given by Landau expansion, and the mean-flow-distortion is calculated by the approximation equation.

运用Landau展开给出了二维谐波的初始解、通过求解线性PSE而得到TS波和C型亚谐扰动的初始站值、以及近似地模拟初始站的均流变形值，以此为初始条件，并结合迭代-预估校正方法来实现非线性PSE的求解和推进，详细地研究了非平行边界层三维扰动C型失稳过程。

Fourier analysis consists of Fourier series which can solve limited one-dimensional space Heat-conduction question and Fourier integral which can solve infinite one-dimensional space Heat-conduction question. This is more systematic compared with the other methods, and embodies corresponding beauty of Mathematics to Physics.

傅里叶分析包括傅里叶级数和傅里叶积分，用傅里叶级数法解决有界细杆的热传导问题，用含参数的傅里叶变换法解决无界细杆的热传导问题，比其它方法更系统，体现出一种数学与物理对应的美感。

By introducing the two dimensional homogeneous coordinates of an infinite point on Euclidian plane,the point coordinates and linear coordinates of an infinite point in straight lines,some theorems and conclusions referred to infinite points are applied in the classifications of structures in this paper.

引入了欧氏平面上无限远点的二维齐次坐标和直线上无限远点的点坐标及线坐标，引用了与无限远点有关的一些定理及结论于结构的分类中。从而给出了可变体系中的常变与瞬变在结构形式上的区别，完善了杆系平面结构几何组成规则的内容

Assuming infinite diffusion medium, based on the diffusion equation for prestressed concrete structure, and accounting for the effects of concrete chloride binding capacity, time dependence of diffusion coefficients, temperature and moisture, models of chloride diffusion in two-dimensional infinite body with both power function and constant homogeneous boundary conditions were formulated.

针对无限大的扩散介质，以综合考虑氯离子结合能力、氯离子扩散系数的时间依赖性和环境温湿度影响的实际预应力混凝土氯离子方程为基础，分别在常数和幂函数边界条件下，推导出二维氯离子扩散理论的齐次模型。

The notes of essential solution and essential components of solution set for vector optimization are introduced in order to research the stability of weak efficient solution of general vector optimization including the infinite dimensional problems.

对向量优化引入本质解和解集的本质连通区的概念，研究一般向量优化问题弱有效解集的稳定性。

In this thesis,we mainly study the following three type of equations under certain non-Lipschitz conditions: stochastic Volterra type integral equation,backward stochastic Volterra type integral equation(including two cases:with jump and in infinite dimensional space),multivalued stochastic evolution equation.

本文将在某些给定的非Lipschitz条件下，依次讨论随机Volterra型积分方程，倒向随机Volterra型积分方程(包括带跳情况和无穷维情况)，多值随机发展方程。

Russell([17]) has showed that, a compact perturbation, generated from unitary operator groups in infinite-dimensional linear Hilbert spaces, is unable to make the perturbed semigroup exponentially stable.

Russell([17])曾指出，无限维Hilbert空间中的酉算子群对生成的紧扰动不能使被扰动半群具有指数稳定性。

This thesis mainly employs the density-matrix renormalization group to investigate the valence bond model. We deal with the one-dimensional and quasi-one dimensional benzenoid systems from medium to infinite sizes successfully and get the ground state energies, the first excited state energies and other properties for the first time.

本论文的主要方面是将密度矩阵重整化群方法引入苯型分子的半经验价键处理，精确计算了一维单层苯型烃及双层苯型烃从小到大，直至无限的基态能量，第一激发态能量及局域芳香性等基本性质。

In particular, we given an infinite-dimensional version of Gerschgorin's Theorem and derive a concept of -extendability to determine whether two local-defect patterns can be glued together.

特别地，我们给予一个无穷维观点的Gerschgorin 定理并且导出一个-extendability的概念来决定两个局部花样是否可以接合在一起。

I'm strongly against the death penalty — it's an eye for an eye.

我不赞成死刑——这是以牙还牙的报复行为。

And to get you the support you need, we're enlisting all elements of our national power: our diplomacy and development, our economic might and our moral suasion, so that you and the rest of our military do not bear the burden of our security alone.

并给你们所须的支援，我们正徵召国家所有各种的力量：我们的外交及发展，我们的经济力量与道德劝说，所以你们与其他军人不须要孤独地负起国家安全的责任。