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- Timothy P. Chartier, Erich Kreutzer, Amy Nicole Langville, Kathryn E. Pedings
- SIAM J. Scientific Computing
- 2011

Every year, people across the United States predict how the field of 65 teams will play in the Division I NCAA Men's Basketball Tournament by filling out a tournament bracket for the postseason play. This article discusses two popular rating methods that are also used by the Bowl Championship Series, the organization that determines which college football… (More)

The Plücker relations define a projective embedding of the Grass-mann variety Gr(p, n). We give another finite set of quadratic equations which defines the same embedding, and whose elements all have rank 6. This is achieved by constructing a certain finite set of linear maps V p k n → V 2 k 4 , and pulling back the unique Plücker relation on V 2 k 4. We… (More)

On Friday, March 24, 2006, Furman University hosted the Carolinas Mathematics Undergraduate Research Conference. The conference was supported by the Mathematical Association of America (NSF Grant DMS0241090). These are the abstracts for the eight undergraduate talks given on that day. Received by the editors April 4, 2006. This conference was supported by… (More)

- Alex Kasman, Kathryn Pedings, Amy Reiszl, Takahiro Shiota
- 2005

The Plücker relations define a projective embedding of the Grass-mann variety Gr(k, n). We give another set of equations, which defines the same embedding, and whose elements all have rank 6 and are in fact obtained by pulling back the unique Plücker relation on 2 k 4. This is achieved through the construction of a finite set of linear maps k k n → 2 k 4… (More)

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