INTERNATIONAL RESEARCH JOURNAL OF SCIENCE ENGINEERING AND TECHNOLOGY

( Online- ISSN 2454 -3195 ) New DOI : 10.32804/RJSET

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ASSUMPTIONS ON LEBESGUE MEASURE IN NON-STANDARD ANALYSIS

    1 Author(s):  DR. SHAHID AHMAD HASHMI

Vol -  7, Issue- 1 ,         Page(s) : 117 - 119  (2017 ) DOI : https://doi.org/10.32804/RJSET

Abstract

Our main concept to investigate assumptions on Lebesgue Measure in Non -Standard Analysis. If R be the set of real numbers, the theory of Non-Standard Analysis based upon the existence of an extension *R of R, which has the feature that any suitably formulated statement which is trace about R but also with sets of elements of R and relations over such sets and so on. It is necessary to work written in the framework of higher order model theory.

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