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Covering a Triangle with Positive and Negative Homothetic Copies

✍ Scribed by Zoltan Furedi

Publisher
Springer
Year
2007
Tongue
English
Weight
225 KB
Volume
38
Category
Article
ISSN
0179-5376

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Covering a plane convex body by four hom
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The famous conjecture of Hadwiger [5] that any convex body (i.e. a compact convex set with non-empty interior) of Euclidean n-space E" can be covered by 2" smaller positive homothetical copies remains unsolved for n > 2. For n = 2 the answer is affirmative as was proved in [8] by Levi. A natural que

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## Abstract The power radiated by a line source per unit length, surrounded by a double‐negative (DNG) material is analytically found and compared with that obtained in case of a double‐positive (DPS) material. Results indicate that the presence of significant increase in the radiated power with a