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Cantor's Rationals in Closed Form.
- 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