| dc.contributor.author | Kribs, Christopher | |
| dc.contributor.author | Behn, Antonio | |
| dc.contributor.author | Ponomarenko, Vadim | |
| dc.date.accessioned | 2016-05-26T19:01:30Z | |
| dc.date.available | 2016-05-26T19:01:30Z | |
| dc.date.issued | 2005 | |
| dc.identifier.citation | Published in the American Mathematical Monthly 112(5):426-435, May 2005 | en_US |
| dc.identifier.uri | http://hdl.handle.net/10106/25680 | |
| dc.description | Author's final draft after peer review, also known as a post print. | en_US |
| dc.description.abstract | We consider an elementary mathematical puzzle known as a "difference box" in terms of a discrete map from R⁴ to R⁴ or , canonically, from a subset of the first R² into itself. We identify the map's unique canonical fixed point and answer more generally the question of how many interactions a given "difference box" takes to reach zero. (The number is finite except for boxes corresponding to the fixed point.) | en_US |
| dc.language.iso | en_US | en_US |
| dc.publisher | Mathematical Association of America | en_US |
| dc.subject | Difference box | en_US |
| dc.title | The convergence of difference boxes | en_US |
| dc.type | Article | en_US |
| dc.publisher.department | Department of Mathematics, University of Texas at Arlington | |
| dc.identifier.externalLink | http://www.jstor.org/stable/30037493 | |
| dc.identifier.externalLinkDescription | The original publication is available at the journal homepage. | |
