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论广泛四则运算和同构微积分

heory of Extensive Arithmetic Operations and Isomorphic Calculus

中文摘要英文摘要

本文在同构量的基础上定义了广泛四则运算,将广泛四则运算和微积分的方法结合,建立了第一类同构微积分体系,并论述了第一类同构微积分体系的典型特例 — 维微积分体系。

In this paper, the author defines 4 types of extensive arithmetic operations based on the concept of isomorphic quantitativeness, thereafter, the system of isomorphic calculus (type I) is established. Then The typical instance system of isomorphic calculus (type I) - dimensional calculus is discussed.

刘渊

数学

同构量,广泛四则运算,广泛和,同构微积分,维微积分

extensive arithmetic operations,extensive mean value(average) isomorphic quantitativeness isomorphic calculus type I isomorphic differential isomorphic integral dimensional calculus

刘渊.论广泛四则运算和同构微积分[EB/OL].(2006-09-28)[2025-08-02].http://www.paper.edu.cn/releasepaper/content/200609-415.点此复制

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