Continuity as a Galaxy of Hyperreal Functions

In the present paper, the problem of defining continuity and s-continuity as a galaxy of hyperreal function is discussed. Our attempt is based on the fact that monads are subsets of some galaxies. New results are obtained, with nonstandard variables, related to a new extension of the continuity noti...

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Main Author: Ibrahim Hamad
Format: Article
Language:English
Published: Mosul University 2008-12-01
Series:Al-Rafidain Journal of Computer Sciences and Mathematics
Subjects:
Online Access:https://csmj.mosuljournals.com/article_163974_caf757891e2bdc1ab3a9c847ee300857.pdf
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author Ibrahim Hamad
author_facet Ibrahim Hamad
author_sort Ibrahim Hamad
collection DOAJ
description In the present paper, the problem of defining continuity and s-continuity as a galaxy of hyperreal function is discussed. Our attempt is based on the fact that monads are subsets of some galaxies. New results are obtained, with nonstandard variables, related to a new extension of the continuity notion.
format Article
id doaj-art-5e30c134d2bf416bbc807e9ee4819d86
institution DOAJ
issn 1815-4816
2311-7990
language English
publishDate 2008-12-01
publisher Mosul University
record_format Article
series Al-Rafidain Journal of Computer Sciences and Mathematics
spelling doaj-art-5e30c134d2bf416bbc807e9ee4819d862025-08-20T03:09:45ZengMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics1815-48162311-79902008-12-0152859310.33899/csmj.2008.163974163974Continuity as a Galaxy of Hyperreal FunctionsIbrahim Hamad0College of Science University of SalahaddinIn the present paper, the problem of defining continuity and s-continuity as a galaxy of hyperreal function is discussed. Our attempt is based on the fact that monads are subsets of some galaxies. New results are obtained, with nonstandard variables, related to a new extension of the continuity notion.https://csmj.mosuljournals.com/article_163974_caf757891e2bdc1ab3a9c847ee300857.pdfcontinuitys- continuitymonadsgalaxy
spellingShingle Ibrahim Hamad
Continuity as a Galaxy of Hyperreal Functions
Al-Rafidain Journal of Computer Sciences and Mathematics
continuity
s- continuity
monads
galaxy
title Continuity as a Galaxy of Hyperreal Functions
title_full Continuity as a Galaxy of Hyperreal Functions
title_fullStr Continuity as a Galaxy of Hyperreal Functions
title_full_unstemmed Continuity as a Galaxy of Hyperreal Functions
title_short Continuity as a Galaxy of Hyperreal Functions
title_sort continuity as a galaxy of hyperreal functions
topic continuity
s- continuity
monads
galaxy
url https://csmj.mosuljournals.com/article_163974_caf757891e2bdc1ab3a9c847ee300857.pdf
work_keys_str_mv AT ibrahimhamad continuityasagalaxyofhyperrealfunctions