量子数学分析(I)

Quantum Mathematical Analysis (I)

摘要: 吴文俊院士说过非标准分析才是真正标准的分析，量子数学分析是一种非标准分析，它有别于德国数学家亚伯拉罕•鲁滨逊等人提出的非标准分析。在量子数学分析里无穷大和无穷小都以数的形式表现出来，并利用它们可以对多种奇点内的数学世界进行四则运算等计算，它里面涉及到的微积分公式全部以另一种定义导出来，它三维空间的连续函数同时具有连续性和离散性，时空同时具有光滑性和离散性。量子数学分析由几部分组成，量子数学分析(I)主要讲的是它的基础构造。

Abstract: Academician Wenjun Wu said that non-standard analysis is the real standard analysis. Quantum mathematical analysis is a non-standard analysis, which is different from the non-standard analysis proposed by German mathematician Abraham Robinson and others. In quantum mathematical analysis, infinitesimals and infinitesimals are expressed in the form of numbers, and can be used to calculate four operations in the mathematical world of many singularities. All the calculus formulas involved in them are derived from another definition. The continuous functions in three-dimensional space are both continuous and discrete, and space-time is smooth and discrete at the same time. Quantum mathematical analysis consists of several parts. Quantum mathematical analysis (I) mainly talks about its basic structure.