File:Nimbers 0...15 multiplication.svg
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Multiplication table of Nimbers; compare The nonzero elements form the Cayley table of Z15, as shown below. Below the dual matrix, showing permuted binary Walsh matrices.
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Cyclic group edit
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1 4 6 14 5 2 8 11 7 10 3 12 13 9 15 4 6 14 5 2 8 11 7 10 3 12 13 9 15 1 6 14 5 2 8 11 7 10 3 12 13 9 15 1 4 14 5 2 8 11 7 10 3 12 13 9 15 1 4 6 5 2 8 11 7 10 3 12 13 9 15 1 4 6 14 2 8 11 7 10 3 12 13 9 15 1 4 6 14 5 8 11 7 10 3 12 13 9 15 1 4 6 14 5 2 11 7 10 3 12 13 9 15 1 4 6 14 5 2 8 7 10 3 12 13 9 15 1 4 6 14 5 2 8 11 10 3 12 13 9 15 1 4 6 14 5 2 8 11 7 3 12 13 9 15 1 4 6 14 5 2 8 11 7 10 12 13 9 15 1 4 6 14 5 2 8 11 7 10 3 13 9 15 1 4 6 14 5 2 8 11 7 10 3 12 9 15 1 4 6 14 5 2 8 11 7 10 3 12 13 15 1 4 6 14 5 2 8 11 7 10 3 12 13 9 Table of the same operation, showing the characteristic diagonals of a cyclic group's Cayley table |
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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. |
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File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 17:20, 7 August 2016 | | 1,127 × 1,407 (462 KB) | Stunts1990 (talk | contribs) | Made the multiplication indices darker against the transparent background and thus more prominent. |
| 21:57, 18 January 2014 |  | 1,127 × 1,407 (461 KB) | Watchduck (talk | contribs) | correct gray background | |
| 21:44, 18 January 2014 |  | 1,127 × 1,407 (448 KB) | Watchduck (talk | contribs) | layout | |
| 21:35, 6 February 2011 |  | 738 × 889 (1.62 MB) | Watchduck (talk | contribs) | bigger | |
| 21:22, 6 February 2011 |  | 74 × 89 (1.62 MB) | Watchduck (talk | contribs) |
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File usage on Commons
The following 12 pages use this file:
- User:Watchduck/list
- File:0...15 AND.svg
- File:0...15 AND levelled.svg
- File:0...15 OR.svg
- File:0...15 plus mod.svg
- File:0...15 times mod.svg
- File:Nimber multiplication 16; inversion sets.svg
- File:Nimbers 0...15 multiplication.svg
- File:Nimbers 0...15 multiplication (diagonals).svg (file redirect)
- File:Z2^4; Cayley table; binary.svg
- Template:Operation tables with binary digits (16×16 with dual matrices)
- Category:Operation tables with binary digits (16×16 with dual matrices)
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