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Summary
| Description |
English: An example of an ɛ-net in the computational geometry sense. In this example, the range space (X, R) has X equal to the set of points in the 2D plane, and R equal to the set of closed filled rectangles (products of closed intervals). The set P shown is the unit square, and the 8 points shown are an ɛ-net of this square with ɛ=1/4, since no closed filled rectangle can intersect at least 1/4 of the square without also intersecting one of these 8 points. Note that any axis-parallel square regardless of size would have a similar 1/4-net of 8 points. |
| Date | |
| Source | Own work |
| Author | Dcoetzee |
Licensing
 
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This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. |
| The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 01:35, 29 June 2010 | | 291 × 308 (14 KB) | Dcoetzee | {{Information |Description={{en|1=An example of an ɛ-net in the computational geometry sense. In this example, the range space (X, R) has X equal to the set of points in the 2D plane, and R equal to the set of closed filled rectangles (products of closed |
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