- Title
- An empirical approach to the normality of pi
- Creator
- Bailey, David H.; Borwein, Jonathan M.; Calude, Cristian S.; Dinneen, Michael J.; Dumitrescu, Monica; Yee, Alex
- Relation
- Experimental Mathematics Vol. 21, Issue 4, p. 375-384
- Publisher Link
- http://dx.doi.org/10.1080/10586458.2012.665333
- Publisher
- Taylor & Francis
- Resource Type
- journal article
- Date
- 2012
- Description
- Using the results of several extremely large recent computations, we tested positively the normality of a prefix of roughly four trillion hexadecimal digits of π. This result was used by a Poisson process model of normality of π: in this model, it is extraordinarily unlikely that π is not asymptotically normal base 16, given the normality of its initial segment.
- Subject
- normal real; normal string; π; Poisson process
- Identifier
- http://hdl.handle.net/1959.13/940028
- Identifier
- uon:12928
- Identifier
- ISSN:1058-6458
- Rights
- This is an electronic version of an article published in Experimental Mathematics Vol. 21, Issue 4, p. 375-384. Experimental Mathematics is available online at: http://www.tandfonline.com/openurl?genre=article&issn=1058-6458&volume=21&issue=4&spage=375
- Language
- eng
- Full Text
- Reviewed
- Hits: 5245
- Visitors: 5380
- Downloads: 206
Thumbnail | File | Description | Size | Format | |||
---|---|---|---|---|---|---|---|
View Details Download | ATTACHMENT03 | Author final version | 6 MB | Adobe Acrobat PDF | View Details Download |