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Characterizing Internal and External Sets | ||
| IRAQI JOURNAL OF STATISTICAL SCIENCES | ||
| Article 10, Volume 11, Issue 2, 2011, Pages 63-69 PDF (0 K) | ||
| DOI: 10.33899/iqjoss.2011.027865 | ||
| Authors | ||
| Tahir H. Ismail and and; Hind Y. Saleh; Barah M. Sulaiman | ||
| Abstract | ||
| The aim of this paper is to give a characterization between the external and internal sets, and some relation between the galaxies and monads, according to this paper we obtain the following results : A set is galaxy iff there exists a strictly increasing sequence of internal sets such that . Also A set is monad iff there exists a strictly decreasing sequence of internal sets such that . If is a galaxy and is a monad such that , then there exists an internal set such that . A monad is not galaxy. If is a monad and is a galaxy, the set of all internal functions such that is a monad) Keywords: Galaxy, Monad , Internal, External. | ||
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