Applied Mathematics and Mechanics (English Edition) ›› 1993, Vol. 14 ›› Issue (4): 385-394.

• 论文 • 上一篇    

A GENERAL MATHEMATICAL FRAMEWORK OF COMPLEX SYSTEMS(I)

昝廷全   

  1. Lanzhou University, Lanzhou
  • 收稿日期:1992-05-11 出版日期:1993-04-18 发布日期:1993-04-18
  • 基金资助:
    National Natural Science Foundation of China

A GENERAL MATHEMATICAL FRAMEWORK OF COMPLEX SYSTEMS(I)

Zan Ting-quan   

  1. Lanzhou University, Lanzhou
  • Received:1992-05-11 Online:1993-04-18 Published:1993-04-18
  • Supported by:
    National Natural Science Foundation of China

摘要: The fundamental and simplest structure of a complex system is a network. According to this idea, we plan to develop a general methematical framework of complex systems. In this paper, we discuss in detail the concept of systems, a general description of systems: System=(Hardware, Software, Environment), and whole-part relations, including relations between elements and systems, subsystems and systems, and between systems. The rules of operations of systems are given, and the induced transformations between hardware and software of systems are briefly discussed.

关键词: complex systems, hardware, software, operations of systems, induced transformations, mathematical framework

Abstract: The fundamental and simplest structure of a complex system is a network. According to this idea, we plan to develop a general methematical framework of complex systems. In this paper, we discuss in detail the concept of systems, a general description of systems: System=(Hardware, Software, Environment), and whole-part relations, including relations between elements and systems, subsystems and systems, and between systems. The rules of operations of systems are given, and the induced transformations between hardware and software of systems are briefly discussed.

Key words: complex systems, hardware, software, operations of systems, induced transformations, mathematical framework

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