本文用有限维逼近无限维的方法来讨论函数空间中的总体最优化问题。
New optimality conditions of the integral global minimization are applied to characterize global minimum in functional space as a sequence of approximating solutions in finite-dimensional Spaces.
本文分别将华氏自伴矩阵几何与对称矩阵几何基本定理推广到无限维的情形。
We extend Hua′s fundamental theorems of the geometry of self-adjoint matrices and symmetric matrices to the infinite-dimensional case.
该方法不是从第一原理出发，因为耗散环境应该被看成是自由度为无限维的谐振子或原子系统，对它的求解最好的方式是求解约化密度矩阵方程。
This method is not from the first principle. A better approach is based on the reduced density matrix, which eliminate the infinite number of the freedoms of the dissipative environment.
护理阿姨们唱了一首无限哀伤的救赎圣歌，我和维图尔弗都不由泪流满面。
The caregivers sang a particularly mournful hymn about redemption that made both Vertulfo and me cry.
本文推导了二维无限介质内嵌异性介质椭圆的弹性应力场分布。
For a two-dimensional infinite medium containing an elliptical inclusion of different material, elastic stress distribution formulas are derived.
用算符理论推出了一维无限深势阱的不确定关系。
The uncertainty relation of one dimensional infinite well is deduced with the operator theory.
本文讨论控制器能量受限下一类无限维线性系统的精确零能控性问题，得到了这类能控性的充分必要条件。
In this paper the problem of the controllability of a class of infinite dimensional linear systems with control energy constraint is discussed.
基于夹层壳理论和三维弹性动力学理论，研究了无限长夹层圆柱壳在移动内压作用下的临界速度。
The critical velocity of the infinite long sandwich shell to moving internal pressure is studied using sandwich shell theory and elastodynamics theory.
本文阐述了有限维与无限维线性空间的主要差别。
In this paper, we expound a main distinction between finite dimensional space and infinite dimensional space.
该会议由法国施维雅制药公司提供的无限制教育基金赞助。
The Conference is supported by an unrestricted educational grant from Laboratoires SERVIER.
另外，本文还讨论了第二个问题，就是无限维线性系统在生成的紧扰动下的非指数稳定性。
Besides, our paper has discussed another problem, which is the non - exponential stability of infinite - dimensional linear systems under generating compact perturbation.
建议采用一种新的三维无限单元，推导了这种单元的有关公式。
A new three dimensional infinite element is suggested and the related formulas have been derived.
笔者利用有限差分软件FLAC3D，对单层介质半无限大体和三维路基体的瑞利波传播特性以及频散曲线进行了数值模拟分析；
Rayleigh wave propagation and dispersive curve in single layers semi-infinite space model and three dimensional road embankment are studied comprehensively by using finite difference software FLAC3D.
提出了一种基于一维无限折叠混沌映射的直接扩谱序列构造方法。
This paper propose one method of constructing direct spreading sequences based on one -dimensional chaotic maps with infinite collapse.
这样就结束了斯里《博伽梵歌》信托译自斯瑞玛德《博伽梵歌》的第十章，维博琥缇-维斯咜拉瑜珈：标题为：根本真理的无限壮丽辉煌。
Thus ends the Sri Bhagavad-Gita Trust translation of Srimad Bhagavad-Gita, Chapter ten, entitled: Vibhuti-Vistara Yoga: the Infinite Glories of the Ultimate Truth.
根据一维无限深势阱的归一化条件推出了一个反常积分公式。
Based on the normalizing of one dimensional infinite potential well, an anomalous integral formula is deduced.
当我们把无限描述成第七维中的一个“点”时，我们只是想到了这个图像的一部分。
When we describe infinity as being a "point" in the seventh dimension, we are only imagining part of the picture.
研究矩形图元在圆形区域内的二维布局优化问题，建立了半无限优化模型。
The two-dimensional layout optimization problem about placing the rectangular graph elements on a round board is investigated and the semi-infinite optimization model is presented.
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。
If the floor were infinite in extent, the mathematical distribution of reflected light could be regarded in terms of a two-dimensional Fourier series.
作为一个精明的商人，李维一眼就看出了这项新产品的无限商机，同意了雅各布的提议。
Levi, who was an astute businessman, saw the potential for this new product and agreed to Jacob's proposal.
研究了二维布局优化问题，建立了具有性能约束的二维布局半无限优化模型。
The two-dimensional layout optimization problem is studied. A semi-infinite optimization model with performance constraints is presented.
将无限长线电荷看成二维平面上的一个“源”，利用电势叠加原理计算了无限长柱形均匀分布的电荷产生的电势。
The electric potentials given rise by the charges even distributed in space of pillar regions are calculated by means of the superposition principle of electric potentials.
应用有限棱柱单元法对群桩与土相互作用系统进行了三维弹塑性分析，并以无限棱柱元模拟半无限空间地基土的边界条件。
In this paper, the three dimensional elastoplastic analysis of a group pile soil interaction system is made by using the finite prism element method.
本文研究了三维情况波浪力数值分析中的有限元-无限元方法。
In this paper, the finite and infinite element method in numerical analysis for wave forces of three dimensional problem is examined.
问题是，万维网是一个相对无限的宇宙，你可以永远失去说话。
The problem is that the World Wide Web is a relatively infinite universe in which your words can be eternally lost.
通过三维光弹实验测定了轴表面横向半椭圆裂纹的应力强度因子（SIF），并计算了与光弹轴裂纹几何及当地应力相对应的无限大体的SIF，从而求得SIF修正系数。
The SIF and its correction factor of the transverse surface semi-elliptic crack of a photoelastic axle are tested and studied with the method of three dimensional photo-elastics.
本文引入实无限维线性空间中的较多锥和严格较多锥，利用它们定义较多序，讨论较多序的性质，由此得出，实无限维线性空间中的任何两个元素都可以按较多序进行比较。
In this paper the major cone and the strict major cone in real infinite-dimensional linear space is introduced, through which we define the major-order, and their properties are also discussed.
对于上半空间无限大均匀血液在其底部血栓生长过程的一维数学模型，利用相似性解法求出的血栓的生长速度在初始时刻是无穷大，因而是无效的。
About the model for one dimension thrombus growth on hemi-space, the thrombus growth velocity using the similarity method is infinite, so it is invalid.
对于上半空间无限大均匀血液在其底部血栓生长过程的一维数学模型，利用相似性解法求出的血栓的生长速度在初始时刻是无穷大，因而是无效的。
About the model for one dimension thrombus growth on hemi-space, the thrombus growth velocity using the similarity method is infinite, so it is invalid.
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