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2008•Journal of Hebei North UniversityRequires access

New Concept of Infinitesimal Comparison

Zhou Fang-qin

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Abstract

The concept of infinitesimal is the most fundamental and important in courses.When comparing the two infinitesimals,the value of the ratio of two infinitesimals will be different(limβα=k).In various versions of Calculus materials,the limit of value is described as reflection on the different 'speed' is close to zero.This paper focuses on the interpretation of different views.When limβα=k is established,it reflects two infinitesimals close to zero to varying degrees.

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What this paper is about

The concept of infinitesimal is the most fundamental and important in courses.When comparing the two infinitesimals,the value of the ratio of two infinitesimals will be different(limβα=k).In various versions of Calculus materials,the limit of value is described as reflection on the different 'speed' is close to zero.This paper focuses on the interpretation of different views.When limβα=k is established,it reflects two infinitesimals close to zero to varying degrees.

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Available abstract

The concept of infinitesimal is the most fundamental and important in courses.When comparing the two infinitesimals,the value of the ratio of two infinitesimals will be different(limβα=k).In various versions of Calculus materials,the limit of value is described as reflection on the different 'speed' is close to zero.This paper focuses on the interpretation of different views.When limβα=k is established,it reflects two infinitesimals close to zero to varying degrees.

Key concepts: Infinitesimal, Calculus (dental), Limit (mathematics), Mathematics, Interpretation (philosophy), Zero (linguistics), Value (mathematics), Reflection (computer programming)

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