Abstract In a previous paper, the author has introduced and studied a new algebraic structure which accurately describes the algebra underlying quantity calculus. The present paper is a continuation of that one, which extends the purely algebraic study by adding two more ingredients: an order structure and a topology. The goal is to give a solid justification of dimensional analysis and differential and integral calculus with quantities.

中文翻译：

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数量微积分的代数结构II：量纲分析和微分积分微积分

摘要 在之前的一篇论文中，作者介绍并研究了一种新的代数结构，它准确地描述了数量微积分的代数基础。本论文是该论文的延续，它通过添加另外两个成分来扩展纯代数研究：顺序结构和拓扑。目标是为量纲分析和微分和积分微积分提供可靠的理由。