本文给出了封闭可分解算子是强可分解的一个充分必要条件。
In this paper, We give a necessary and sufficient condition that closed decomposable operator, is strongly decomposable.
在本文中，我们研究了(ac)算子，可分解算子，谱算子以及它们之间的关系。
In this paper we investigated (AC) operators, decomposable operators, spectral operators and their relationships.
在第二章中，作者以谱分解、函数演算等为工具，给出一些重要的算子不等式与范数不等式。
In this chapter, we give some operator inequalities and norm inequalities by means of spectral decomposition and functional calculus.
方法利用效应代数、序列效应代数的定义及算子分解的方法。
Methods Using the definition of effect algebra, sequential effect algebra and the polar decomposition of operator.
通过对算子矩阵和地震波场矩阵进行多分辨分解和压缩，得到了小波域中地震波场正演模拟算法。
Through the multiresolution decomposition and compression of operator matrix and seismic wave field matrix, we proposed a new method of seismic modeling in wavelet domain.
最后，给出了广义模糊粗糙近似算子的分解与合成定理。
At last, we we prove the decomposition and synthetize theorems of general fuzzy rough approximation operator.
研究了迭代时反处理和时反算子分解方法。
The iterative time reversal processing and the decomposition time reversal operator method are studied.
首先对文中所用的算子分解作了详细的阐述，然后用其证明所需的结论。
First, the decomposition method is illustrated in detail, then it is used to prove the desired proposition.
讨论了半单广义顶点代数（相应地半单广义顶点算子代数）的若干性质，例如：这些代数的分解；
In this paper, some properties of semisimple generalized vertex algebras (resp. semisimple generalized vertex operator algebras), for example the decompositions of these algebras;
本文从连续图像出发，将二阶偏微分算子应用于影像函数，利用多重网格算子能得到近似影像的性质，得出一种多分辨影像分解的方法，经过图像重建过程得到融合影像。
Using the so-called approximation of image property by a multi-grid operator, we can derive a method of multi-resolution decomposition of the image, thus the fusion image is formed by reconstructing.
并通过算子代数的分解以及对称理想的结构给出各类退化算子代数的一般形式。
And give general forms of every class of degenerate operator algebras by the representations of this algebra and constructions of symmetric ideals.
在阐述小波图像融合算法的基础上，针对小波分解后各频域融合算子和融合规则的选择，提出一种新的基于小波分解的图像融合算法。
Based on expatiating on image wavelet fusion algorithm, aimed at the choice of fusion rule and fusion operator, this paper presented a novel image fusion algorithm based on wavelet transform.
该算法基于连续线性规划技术，将安全校正问题分解为非线性潮流和线性控制灵敏度计算子问题以及基于灵敏度的线性规划控制子问题。
The corrective control problem was decomposed into a nonlinear power flow and linear sensitivity computation sub-problem and a sensitivity-based linear programming optimization control sub-problem.
主要介绍了基于算子理论的非线性系统互质分解方法及其理论。
In this paper, the method and theory of coprime factorizations of nonlinear systems based on the operator theory are introduced.
利用传输矩阵分析了迭代时反处理的收敛性和时反算子分解方法的原理。
The principle of the time reversal processing and its spatial and time focusing are studied.
利用传输矩阵分析了迭代时反处理的收敛性和时反算子分解方法的原理。
The principle of the time reversal processing and its spatial and time focusing are studied.
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