复杂系统的一般数学框架(Ⅰ)
A General Mathematical Framework of Complex Systems(Ⅰ)
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摘要: 复杂系统的基本和最简单的结构就是网络.根据这一思想,本系列论文拟发展一套处理复杂系统的新数学框架.本文详细论述了系统的概念、一般描述方法:系统=(硬部,软部,环境)和局整关系,包括子系统、元素与系统的关系和系统与系统的关系;给出了系统运算的基本法则;简要论述了系统的软、硬部之间的诱导转化.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.
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Key words:
- complex systems /
- hardware /
- software /
- operations of systems /
- induced transformations /
- mathematical framework
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