Restricted-orientation convexity is the study of geometric
objects whose intersections with lines from some fixed set are
connected. This notion generalizes standard convexity and several
types of nontraditional convexity. The authors explore the
properties of this generalized convexity in multidimensional
Euclidean space, and describ restricted-orientation analogs of
lines, hyperplanes, flats, halfspaces, and identify major
properties of standard convex sets that also hold for
restricted-orientation convexity. They then introduce the notion of
strong restricted-orientation convexity, which is an alternative
generalization of convexity, and show that its properties are also
similar to that of standard convexity.
General
| Imprint: |
Springer-Verlag
|
| Country of origin: |
Germany |
| Series: |
Monographs in Theoretical Computer Science. An EATCS Series |
| Release date: |
December 2003 |
| First published: |
2004 |
| Authors: |
Eugene Fink
• Derick Wood
|
| Dimensions: |
235 x 155 x 7mm (L x W x T) |
| Format: |
Hardcover
|
| Pages: |
102 |
| Edition: |
2004 ed. |
| ISBN-13: |
978-3-540-66815-2 |
| Categories: |
Books >
Science & Mathematics >
Mathematics >
Geometry >
General
|
| LSN: |
3-540-66815-2 |
| Barcode: |
9783540668152 |
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