File:HyperplaneׂGeometricSeparatorCounterExample.svg
Size of this PNG preview of this SVG file: 138 × 600 pixels. Other resolutions: 55 × 240 pixels | 110 × 480 pixels | 176 × 768 pixels | 235 × 1,024 pixels | 471 × 2,048 pixels | 177 × 769 pixels.
Original file (SVG file, nominally 177 × 769 pixels, file size: 3 KB)
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| Description |
English: This figure is related to w:en:Geometric separator#Separators that are hyperplanes. It illustrtates a configuration of squares in which no line can separate a linear fraction of the squares while cutting only a sub-linear fraction of them. Every vertical line cuts at least all the yellow squares, while every horizontal line seperates at most half of the yellow squares. Therefore, for example, if the number of yellow squares is less than N/2 (when N is the total number of squares), then there is no line that separates N/4 squares or more, while cutting less than N/2 squares. |
| Date | |
| Source | Own work |
| Author | Erel Segal |
| Permission (Reusing this file) |
  This file is licensed under the Creative Commons Attribution 3.0 Unported license.
|
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 16:47, 14 January 2014 | | 177 × 769 (3 KB) | Erel Segal | {{Information |Description ={{en|1=This figure is related to w:en:Geometric separator#Separators that are hyperplanes. It illustrtates a configuration of squares in which no hyperplane can separate a linear fraction of the squares while cutting... |
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