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Cantor's Rationals in Closed Form.

Authors :
NYBLOM, M. A.
Source :
Mathematical Spectrum. 2010/2011, Vol. 43 Issue 1, p6-8. 3p.
Publication Year :
2010

Abstract

The article discusses a closed form expression for the nth term of a sequence that was developed based on an infinite-dimensional matrix used by mathematician Georg Cantor to establish the countability property of a set of positive rationals. Following Cantor's studies, many other enumerations of the rationals have been constructed such as one which used a systematic procedure to produce a listing of all positive rationals without duplication. It highlights the key properties of the matrix of rational numbers given to demonstrate another equation.

Details

Language :
English
ISSN :
00255653
Volume :
43
Issue :
1
Database :
Academic Search Index
Journal :
Mathematical Spectrum
Publication Type :
Periodical
Accession number :
53553340