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- John Little, Hal Schenck
- SIAM J. Discrete Math.
- 2006

Toric codes are evaluation codes obtained from an integral convex polytope P âŠ‚ R n and finite field Fq. They are, in a sense, a natural extension of Reed-Solomon codes, and have been studied recentlyâ€¦ (More)

- Hal Schenck
- 1997

We de ne a complex R=J of graded modules on a d-dimensional simplicial complex , so that the top homology module of this complex consists of piecewise polynomial functions (splines) of smoothness râ€¦ (More)

In [9], J. Hansen uses cohomological methods to find a lower bound for the minimum distance of an evaluation code determined by a reduced complete intersection in P. In this paper, we generalizeâ€¦ (More)

We explore the connection between ideals of fat points (which correspond to subschemes of Pn obtained by intersecting (mixed) powers of ideals of points), and piecewise polynomial functions (splines)â€¦ (More)

- Lena K. Norlund, Anders Grubb, +4 authors BjÃ¶rn Hultberg
- Clinical chemistry and laboratory medicine
- 1998

One of the main determinants of plasma homocysteine in healthy subjects is serum creatinine. In the present study, we therefore investigated the relation between plasma homocysteine concentration,â€¦ (More)

- Hal Schenck
- 2001

Algebra Primer A.1 Groups Let G be a set of elements endowed with a binary operation GÃ—G âˆ’â†’ G. We will write Â· for this operation. By definition, G is closed under the operation. G is a group if: 1.â€¦ (More)

- Parvin H Azimi, K Levernier, +6 authors Miriam Valesco
- The Pediatric infectious disease journal
- 1988

Growth of Malassezia furfur in the intravascular catheter used for administration of lipid emulsion resulted in occlusion of deep intravascular Silastic catheters in 12 infants in 2 intensive careâ€¦ (More)

- Brian Harbourne, Hal Schenck, Alexandra Seceleanu
- J. London Math. Society
- 2011

In [19], Miglioreâ€“MirÃ³-Roigâ€“Nagel show that the Weak Lefschetz property can fail for an ideal I âŠ† K[x 1 ,. .. , x 4 ] generated by powers of linear forms. This is in contrast to the analogousâ€¦ (More)

- David Cox, Hal Schenck
- 2003

We study the syzygies of a codimension two ideal I = ã€ˆf1, f2, f3ã€‰ âŠ† k[x, y, z]. Our main result is that the module of syzygies vanishing (schemetheoretically) at the zero locus Z = V(I) is generatedâ€¦ (More)

- Mircea MustaÅ£ÇŽ, Hal Schenck
- 2008

For an essential, central hyperplane arrangement A âŠ† V â‰ƒ k we show that Î©(A) (the module of logarithmic one forms with poles along A) gives rise to a locally free sheaf on P if and only if for all Xâ€¦ (More)