Counting the n-Chromos of I. J. Schoenberg
✍ Scribed by Thomas W Cusick; Pantelimon Stănică
- Book ID
- 102583103
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 361 KB
- Volume
- 79
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
✦ Synopsis
We give an algorithm for enumerating the n-chromos, which were first defined by I. J. Schoenberg.
1997 Academic Press
Theorem 1 (Schoenberg). For all n 2, \ n = 1 2 &(2n) &1 . It turns out that any non-trivial particle motion which lies in the shell (1), where \ n is given in Theorem 1, is a closed polygon. We say that such article no. TA972787 298 0097-3165Â97 25.00
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When a strictly convex plane set S moves by translation, the set J of points of the integer lattice that lie in S changes. The number K of equivalence classes of sets J under lattice translations (configurations) is bounded in terms of the area of the Brunn-Minkowski difference set of S. If S satisf