A Comparison Study of Non-Standard Analysis and Non-Archimedean Ultrametric Theory
Journal Title: International journal of Emerging Trends in Science and Technology - Year 2016, Vol 3, Issue 2
Abstract
Infinitesimal elements are mainly considered in non-standard analysis. Recently a new scale free analysis has been developed using the concept of relative infinitesimals, scale free infinitesimals and their corresponding non-archimedean absolute value. With this valuation the real number system R has been extended to an infinite dimensional non-archimedean system R accommodating infinitely small and large numbers. In this paper we present a comparison study of non-standard analysis and non-archimedean ultrametric theory.
Authors and Affiliations
Anuja Ray Chaudhuri
Keywords
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