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Lower Bounds for the Square-to-Linear Ratio for Plane Peano Curves |
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| Authors: | Shchepin E. V. Mychka E. Yu. |
| Affiliation: | 1.Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, 119991, Russia ;2.Lomonosov Moscow State University, Moscow, 119991, Russia ; |
| Abstract: | Mathematical Notes - It is proved that, for any map of the unit interval onto the unit square, there exist two points in the interval such that the squared Euclidean distance between their images... |
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