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File:Prewellordering example x div 4 leq y div 5.gif

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Summary

Description
English: Hasse diagram of the prewellordering x//4 ≤ y//5, shown up to 29. Cycles are indicated in red.
Date
Source Own work
Author Jochen Burghardt
Other versions File:Prewellordering example.pdf - File:Prewellordering example svg.svg - File:Prewellordering example x div 4 leq y div 5.gif
Relation represented as a Boolean matrix
x\y  0  1  2  3  4  5  6  7  8  9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39
 0   +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +
 1   +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +
 2   +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +
 3   +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +
 4   -  -  -  -  -  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +
 5   -  -  -  -  -  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +
 6   -  -  -  -  -  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +
 7   -  -  -  -  -  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +
 8   -  -  -  -  -  -  -  -  -  -  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +
 9   -  -  -  -  -  -  -  -  -  -  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +
10   -  -  -  -  -  -  -  -  -  -  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +
11   -  -  -  -  -  -  -  -  -  -  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +
12   -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +
13   -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +
14   -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +
15   -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +
16   -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +
17   -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +
18   -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +
19   -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +
20   -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +
21   -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +
22   -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +
23   -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  +  +  +  +  +  +  +  +  +  +  +  +  +  +  +
24   -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  +  +  +  +  +  +  +  +  +  +
25   -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  +  +  +  +  +  +  +  +  +  +
26   -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  +  +  +  +  +  +  +  +  +  +
27   -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  +  +  +  +  +  +  +  +  +  +
28   -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  +  +  +  +  +
29   -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  +  +  +  +  +
30   -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  +  +  +  +  +
31   -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  +  +  +  +  +
32   -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -
33   -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -
34   -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -
35   -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -
36   -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -
37   -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -
38   -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -
39   -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -  -

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22 April 2020

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Date/TimeThumbnailDimensionsUserComment
current14:29, 27 April 2020Thumbnail for version as of 14:29, 27 April 20201,538 × 437 (20 KB)Jochen BurghardtUploaded own work with UploadWizard

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