𝔖 Bobbio Scriptorium
✦   LIBER   ✦

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


📜 SIMILAR VOLUMES


The number of configurations in lattice
✍ Huxley, Martin N.; Žunić, Joviša 📂 Article 📅 2010 🏛 Walter de Gruyter GmbH & Co. KG 🌐 English ⚖ 310 KB

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