| Solution Of One Problem Of G. Pólya | |
Abstract/OtherAbstract
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. We present the complete solution of the following problem of G. P'olya: Circular forest has a center at the origin and radius R ? 1. A person is staying at the center and the trees of the radius r are planted at all other lattice points of the forest. Determine the maximal value ae of the radius r for which the person can see out of the forest and, in the case r = ae, determine the directions in which he/she should look in order to see out of the forest. 1. Formulation of the problem Circular forest has a center at the origin and radius R ? 1. A person is staying at the center and the trees of the radius r are planted at all other lattice points (points with integer coordinates) of the forest. 1) Determine the maximal value ae of the radius r for which the person staying at the center can see out of the forest. 2) In the case r = ae, determine the directions in which he/she should look in order to see out of the forest. (We assume that the ray tangent to a tree is not blocked by th... |
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Contributors
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The Pennsylvania State University CiteSeer Archives |
Publication Detail
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Publisher : unknown Type : - Format : ps |
Date Detail
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1996-07-08 |
Subject
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Solution Of One Problem Of G. Pólya |
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Source
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http://www.cirm.univ-mrs.fr/EMIS/journals/MV/9612/ves96107.ps.gz |
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unrestricted |
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Languages : en |
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