论文标题

实际功能及其在替代集理论中的区分

Real Functions and its Differentiation in Alternative Set Theory

论文作者

Sakahara, Kiri, Sato, Takashi

论文摘要

在上一篇论文(基里·萨卡哈拉(Kiri Sakahara)和高夏萨托(Takashi Sato)。基本的拓扑概念和替代集理论中实数的构造。Arxive-prints,arxiv:2005.04388,2020年5月),作者展示了基本的拓扑概念和替代理论中实数系统的基本拓扑概念(AST)。本文是该研究的延续,从而提供了实际功能的其他治疗方法。与常规演算中的分化基本特性保持在AST中的基本特性。

In the previous paper (Kiri Sakahara and Takashi Sato. Basic Topological Concepts and a Construction of Real Numbers in Alternative Set Theory. arXiv e-prints, arXiv:2005.04388, May 2020), the authors displayed basic topological concepts and a construction of a system of real number in alternative set theory (AST). The present paper is a continuation of that research providing additional treatments of real functions. The basic properties of differentiation in AST are preserved as in the conventional calculus.

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