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The Number of Directions Determined by Points in the Three-Dimensional Euclidean Space

✍ Scribed by Blokhuis; Seress


Publisher
Springer
Year
2002
Tongue
English
Weight
47 KB
Volume
28
Category
Article
ISSN
0179-5376

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πŸ“œ SIMILAR VOLUMES


On the Number of Directions Determined b
✍ TamΓ‘s SzΕ‘nyi πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 265 KB

In this paper the number of directions determined by a set of q&n points of AG(2, q) is studied. To such a set we associate a curve of degree n and show that its linear components correspond to points that can be added to the set without changing the set of determined directions. The existence of li

The directions determined by n points in
✍ Raul Cordovil πŸ“‚ Article πŸ“… 1983 πŸ› Elsevier Science 🌐 English βš– 660 KB

Scott posed the problem of determining the minimum number of directions determined by n points which are not all collinear in the plane. We consider a generalization of this problem for oriented marroids. We prove the following theorem: Let M denote an oriented matroid of rank 3. Suppose M has a mod