File:Z2^4; Lattice of subgroups Hasse diagram; equivalence classes.svg
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Size of this PNG preview of this SVG file: 656 × 600 pixels. Other resolutions: 263 × 240 pixels | 525 × 480 pixels | 840 × 768 pixels | 1,120 × 1,024 pixels | 2,241 × 2,048 pixels | 802 × 733 pixels.
Original file (SVG file, nominally 802 × 733 pixels, file size: 4.06 MB)
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Summary
| Description |
  The 16 equivalence classes (SONA-BECs) of the subgroups of C24 Complements (compare The violet numbers are index numbers of The black numbers refer to the list of BECs as fractions in colex order. (v:4-ary Boolean functions; rational bec table) bec_index_to_sona_indices = {
# weight 1
377: [0],
# weight 2
17: [1, 2, 5, 16], # L
191: [3, 6, 8, 17, 19, 27], # B
326: [11, 22, 32, 40], # R
362: [51], # T
# weight 4
4: [4, 7, 9, 18, 20, 28], # L
8: [12, 13, 14, 23, 24, 25, 33, 34, 37, 41, 43, 45], # ellipse
14: [52, 55, 59, 62], # T
54: [10, 21, 29, 30], # B
119: [53, 54, 56], # rhombus
142: [31, 35, 36, 42, 44, 48], # R
# weight 8
2: [15, 26, 38, 46], # L
3: [58, 60, 61, 63, 64, 65], # T
7: [39, 47, 49, 50], # R
31: [57], # B
# weight 16
1: [66]
}
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| Source | Own work | ||
| Author |
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| Other versions |
In the first version of this file the equivalence classes were denoted by index numbers of  A227960. |
Licensing
I, the copyright holder of this work, hereby publish it under the following licenses:
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Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License. |
This file is licensed under the Creative Commons Attribution 3.0 Unported license.
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File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 13:34, 28 December 2019 | | 802 × 733 (4.06 MB) | Watchduck | mm -> px |
| 13:31, 28 December 2019 |  | 752 × 687 (4.06 MB) | Watchduck | BEC index numbers | |
| 19:26, 20 January 2016 |  | 899 × 735 (4.11 MB) | Watchduck | change labels | |
| 14:43, 6 August 2013 |  | 9,921 × 9,213 (3.93 MB) | Watchduck | {{Information |Description ={{en|1=.}} |Source ={{own}} |Author =Mate2code |Date = |Permission = |other_versions = }} |
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