Remarks on the Box Problem
| dc.contributor.author | Nets Hawk Katz | |
| dc.contributor.author | Elliot Krop | |
| dc.contributor.author | Mauro Maggioni | |
| dc.date.accessioned | 2024-05-21T13:41:14Z | |
| dc.date.available | 2024-05-21T13:41:14Z | |
| dc.description.abstract | Let Iijk be an N ×N ×N tensor of 1’s and 0’s. We say I satisfies the (E) condition provided it does not contain 1’s at all the corners of any nontrivial box. That is, I satisfies the (E) condition, if for any i1 = i2, j1 = j2, k1 = k2, we have that Π2l =1Π2 m=1Π2 n=1Iiljmkn = 0. We prove the following Theorem. Let p be any prime. There is a p3 − 1 × p3 − 1 × p3 − 1 tensor I satisfying the (E) condition containing p2(p3 − 1)2 many 1’s. | |
| dc.identifier | http://www.mrlonline.org/mrl/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12951/1030 | |
| dc.title | Remarks on the Box Problem | |
| dc.type | Journal Article, Academic Journal | |
| dcterms.bibliographicCitation | Mathematical Research Letters 9(4), 515-519, (July 2002) |