查询词典 infinite dimensional

Moreover, the quasi-analytical expressions of the relative concentrations at the mobile region and the immobile region are deduced respectively by using Bessel equation, Bessel function and the method of Laplace transform under the initial concentration zero and the first or second boundary condition of a semi-infinite one-dimensional space.

并分别在初始浓度为零，半无限一维空间内第一类边界条件和第二类边界条件下，利用Bessel方程、Bessel函数和Laplace变换法推导出了可动区和不动区溶质相对浓度的准解析表达式。

By means of the complex variable function method and introducing the conformal transformation,the anti-plane shear problem about two semi-infinite collinear cracks in one-dimensional hexagonal quasicrystals was investigated and the exact solution to mode Ⅲ SIFs was found out.

利用复变方法，通过引入适当的保角映射，研究了一维六方准晶狭长体中双半无限共线裂纹的反平面剪切问题，给出了Ⅲ型裂纹问题的应力强度因子的精确解。

Secondly, regarding the diffusion rate as a bifurcation parameter, we show that the one-dimensional competition diffusion system with infinite delay and Dirichlet boundary condition exhibits the spatiotemporal structure near the steady state of the system.

介绍问题的生物学背景，概述Logistic模型和Volterra模型的研究历程并提出我们所研究的课题，另外还给出了所需的基础理论。

The ellipsoidal coordinates and the square root characteristics of the displacement jumps across the crack surface are cleverly used in the hypersingular integral equations for an arbitrary planar crack embedded into the infinite three dimensional homogeneous elastic solid.

对无限大三维均质弹性体中任意平片裂纹的超奇异积分方程，巧妙地引入椭球坐标系和利用裂纹表面位移间断具有平方根的特性，获得了受任意方向均布内压力作用下椭圆平片裂纹问题的超奇异积分方程的解析解。

The infinite elliptic cone geometry can be transformed into the two-dimensional plane under the assumption of pure TEM spherical waves. The closed-form solutions for the characteristic parameters are obtained.

应用坐标变换和共形变换研究椭圆双锥天线，在传输纯TEM波的假设下，把无限长椭圆双锥结构变换为二维平面结构，从而得到椭圆双锥天线输入阻抗闭合解，其典型结果与文献一致。

The quasi-analytical expressions of the relative concentrations at the mobile region and the immobile region are deduced respectively by using hypergeometric equation, hypergeometric function and the method of Laplace transform under the initial concentration zero and the first or second boundary condition of a semi-infinite one-dimensional space.

并分别在初始浓度为零，半无限一维空间内第一类边界条件和第二类边界条件下，利用超几何方程、超几何函数和Laplace变换法推导出了可动区和不动区溶质相对浓度的准解析表达式。

If the floor were infinite in extent, the mathematical distribution of reflected light could be regarded in terms of a two-dimensional Fourier series.

如果地板的广度是无限的，那么可以用一个二维傅里叶级数来表示反射光的数学分布。

A new experimental apparatus has been developed for measuring the thermal conductivity of liquid by the two transient hot-wire method, which is based on the theory of one-dimensional unsteady heat conduction in infinite medium.

摘 要：采用双热线瞬态热线法研制出一套瞬态双热线液体导热系数测试装置，在阐述该测试仪器的基本原理和测试方法的基础上，就该仪器对乙醇、乙二醇、甘油和去离子水进行测试的实验情况及结果进行了分析与比较。

The results show that the ratio of the released elastic energy to the damage dissipative energy can be served as a sensitive precursor of catastrophe. Furthermore the value of the non-dimensional ratio has a similar tendency to be 1 with different responses in the two failure modes, that is, the response function R always decreases in the gradual mode, while increases and tends to be infinite at the catastrophic point of the failure.

研究发现在灾变性破坏和非灾变性的渐进式破坏两种失效模式中，虽然系统中卸载所贡献的弹性能增量与损伤消耗和释放的能量增量的比值都有趋向于1的趋势，但是两者的趋近方式不同：灾变性破坏时表征能量比随控制变量变化特征的响应函数R有一个上升段，在灾变破坏点$R$趋向于无穷大，而非灾变性破坏中$R$始终是减小的。

The necessary and sufficient condition for the existence of 2-dimensional minimal realization is given, which is described by the relation of elements of the infinite sequence and is easy to check.

给出了存在2维最小实现的充要条件，该条件是用无穷序列｛g｝(上标∞下标 0)元素之间的关系描述的，因而容易判断；同时，用涂奉生提出的结构标准形和最小实现算法给出了2维最小实现的构造方法，从而完全解决了2维最小实现问题。

I will endeavour to find you some assistance.

我尽力帮你找人帮忙。

At first I only know bruck is the idol of American younglings, afterwards I returned back to Taiwan ,even in Beijing last year ,I saw her poster everywhere, I was so surprised at her charm.

起初我只晓得布鲁克雷德丝是美国少男少女崇拜的偶像，后来回台湾，甚至去年在北京，居然也四处看见她的海报，才惊讶她的魅力之大。