近代数学的一些学科，如代数结构理论与泛函分析可以在矩阵论中寻找到它们的根源。
Some subjects of modern mathematics, such as the algebraic structure theory and functional analysis, would be found in the Matrix theory.
粗糙集代数关系的图结构分析是粗糙集理论中又一研究方向。
The graphic structure analysis for algebraic relationship of rough sets is a new research direction of the rough set theory.
本文以现代数学理论为依托，研究了随机结构系统的一般实矩阵的特征值问题。
The eigenvalue problem of general real matrices was researched in random structure system that it is from depending on modern mathematics theories.
标准奇异点是微分代数方程系统区别于常微分方程系统的一个标志性的拓扑结构，具有重要的理论研究意义。
The standard singular point is an important structure of the differential-algebraic equation systems(DAEs), by which DAEs are differentiated from the ordinary different equation systems (ODEs).
本文简要概述了现代数学、物理学中的“耗散结构理论”、“协同论”和“突变论”的基本内涵和特点。
This paper briefly sums up the basic connotation and characters of the dissipation structure theory, the cooperation theory and the sudden change theory in modern mathematics and physics.
从实际工程出发，以现代数学理论为依托，研究了随机结构系统的特征值问题。
The eigenvalue problem is studied for random structure system from the view point of practical engineering on the background of modern mathematics theories.
提出了一个非流形结构的表示方法——粘合边结构，其数学基础是代数拓扑中的复形理论。
An identification edge structure is put forward to represent non manifold modeling, which is built on the concepts and methods of the complex and CW complex in algebraic topology.
本文的理论基础是现代网络优化理论，其中包括图论、最优化方法、运筹学、离散数学及代数结构学。
The paper is theoretically based on modern network optimization, including graph theory, optimization, operation research, network management.
第二部分研究了代数与余代数之间的缠扭结构以及与其密切相关的代数分解理论。
In Part Two we study the theory of entwining structures and that of factorization structures.
模的理论是现代数学中越来越重要的工具，它统一了许多数学结构，也是研究交换代数的基本工具。
The theory of modules is increasingly important in modern mathematics. It unifies many mathematical structures, and is the basic tools in commutative algebra.
模的理论是现代数学中越来越重要的工具，它统一了许多数学结构，也是研究交换代数的基本工具。
The theory of modules is increasingly important in modern mathematics. It unifies many mathematical structures, and is the basic tools in commutative algebra.
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