查询词典 approximation theory

The major subjects in the approximation of operators are to study the convergent property of a sequence of linear operators, the quantization of its convergence rate and the saturation results in the theory of approximations.

算子逼近论主要是研究线性算子列的收敛性质，收敛速度的量化以及逼近论中的饱和现象。

In Chapter 3, by using the technique of finite dimensional approximation of Seiberg-Wittentheory, the equivariant K-theory and some other methods, we study the problem of topologicalrestriction when there are smooth groups acting on Spin 4-manifolds such as the alternatinggroup A_5, cyclic group Z_6 and symmetric group S_3 with actions of odd type, consequently weimprove Furutas 10/8 theorem under the condition of group actions.

第三章运用Seiberg-Witten理论的有限维逼近技巧和等变K-理论等工具，研究了Spin 4-流形X上分别存在光滑交错群A_5、循环群Z_6和奇型三阶对称群S_3作用时，X的拓扑限制问题，在群作用下改进了Furuta的10／8定理。

It appears that the present theory is able to treat systematically the correlation of molecular motion in the cell model to any degree of approximation.

经过这样推广，格胞模型理论就可以系统地考虑分子运动关联性的任何级近似。

In this chapter,we mainly give some basic theory of absorption, dispersion,dipole approximation and the equation of density matrix elements.

主要介绍激光光谱学的吸收和色散等基本概念以及常用的理论如偶极近似、密度矩阵方程等。

Under small-scattering approximation the diffraction integral equation for determining distribution of diffracted light field is presented. Comparision is made with coupled wave theory and K.

本文首次将不均匀物体对光的散射过程引入到体全息图对再现光的衍射过程，在小信号近似下获得了衍射光场分布的积分方程，并与耦合波理论及K。

The boundary value problem for first-order differential equations with a parameter refers to the finite solution condition of equation which includes unknown quantity and its first-order derivative that not only relies on interval value but also relies on the parameter of the equation,which is always settled by fixed point theory or successive approximation method.

含一个参数的一阶微分方程边值问题是指：含有未知量及它的一阶导数的方程的定解条件不仅依赖于在区间端点的取值，而且依赖于方程中的参数。通常它用不动点定理或逐步逼近法来解决。

In this paper, the theoretical model of CQI is described in an atom-diatom system in the condition of the molecular beam, based on the first-Born approximation of time dependent perturbation theory, taking into accounts the anisotropic Lennard-Jones interaction potentials. The method of observing and measuring correctly the differential interference angle is presented. The relation between differential and parameter, velocity is obtained. The relation of the integral interference angle and temperature is discussed.

文中利用一阶含时波恩近似和L-J相互作用势，建立了原子-双原子分子碰撞系统转动传能的量子干涉模型，描述了观察和测量微分干涉角的方法，得到了微分干涉角与碰撞半径和碰撞速度间的关系，同时也得到了积分干涉角和实验温度的关系。

In the product space of unanimity convex Hilbert, we obtained the theory of existence and uniqueness of best approximation element on weakly closed t convex set .

讨论了凸集及凸包的形态学运算的几个几何特性，并使某些文献中的几个错误结论得到修正和完善。

Based on rough set theory, research in this paper mainly focuses on mining rules from decision system.Based on the research of the basic concepts of rough set, we deeply analysis and discuss the approximation set algorithm, equivalence class algorithm, core algorithm, attribute reduction algorithm, rules extract algorithm etc.

本文首先对数据挖掘和知识发现作一概述，并论述了粗糙集理论的重要概念及其度量，基于这些概念和度量，具体分析了粗糙集理论的近似集算法、核算法、属性约简算法、规则提取算法，给出了它们的算法分析以及具体实现步骤。

In this paper the event tree is used in the analysis on cascading failures and by use of probability approximation theory of rare event the probability order of multiple failures is divided, thus the screening process of multiple failures can be simplified.

文章采用事件树对连锁故障的分析方法，运用小概率事件的概率近似理论对多重故障进行概率阶次划分，可以简化多重故障的筛选过程。

The changes of the HAF after liver injury may be related to the volume of blood loss, the intraabdominal pressure and the pneumoperitoneum duration.

肝撞击伤伴失血后肝动脉血流量的变化与失血量、气腹压力以及气腹持续时间等有密切联系。

Reneging on our commitments to the world's poor cannot be an austerity measure, she said.

放弃我们给世界上的穷国的承诺不能成为一种紧缩措施。