Non-standard analysis and representation of reality
Non-standard analysis and representation of reality
复制标题
现实的非标准分析和表示
DOI：
10.1080/00207170701601728
复制
发表时间：
2008
影响因子：
2.1
通讯作者：
T. Sari
中科院分区：
文献类型：
--
作者：
C. Lobry;T. Sari
本文的目的是表明，借助对真实现象的非标准分析，呈现不同的观察尺度，可以重要地简化语言。的确，在处理微观现象的宏观效应时，使用无限小和无限大的概念是很方便的。两个例子说明了这一点：两个时间尺度系统的表示和噪声的表示。
The aim of this paper is to show that the representation with the help of non-standard analysis of a real phenomenon, presenting different observation scales, allows an important simplification of language. Indeed, it is convenient to have available the concept of infinitely small and infinitely large quantities in dealing with the macroscopic effects of microscopic phenomena. This is illustrated on two examples: the representation of two time scales systems and the representation of noise.