File:Unit square ɛ-net.svg
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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. |
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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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