File:Z2^4; subgroups list.svg
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Summary
[edit]DescriptionZ2^4; subgroups list.svg |
The 67 subgroups of Z24 (compare Subgroups of nimber addition), represented by logical matrices These matrices can also be read as partitions of a 16 element set, The increasing numbers on the left ( A190939) are the unique odd numbers in each sec (among the numeric values of the Boolean functions in the sec, to be precise). Here the same is shown for n=0...2824. The file is shown below. Python dict of these 67 objects represented as binary vectors and as partitions: https://pastebin.com/pDz53JXt
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File
[edit]This description page is about the file on the left. In the file on the right the equivalence blocks are colored, to make them easily recognizable.
Gray numbers are the indices.
Increasing numbers on the left form A190939. These are the unique odd numbers in each family.
The numbers on the right form A227963. These are the smallest numbers in each family.
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File history
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 22:59, 8 August 2013 | 261 × 10,009 (3 MB) | Watchduck (talk | contribs) | include {{oeis|A227963}} | |
18:33, 12 February 2010 | 173 × 10,009 (4.34 MB) | Mate2Code (talk | contribs) | {{Information |Description=Among the negator variation matrices of Boolean functions, there are some that describe equivalence relations, or partitions respectively. This graphic shows the first 67 |
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File usage on Commons
The following 4 pages use this file:
- User:Watchduck/list
- File:Boolean partition matrices.svg (file redirect)
- File:Z2^4; subgroups lexicographical.svg (file redirect)
- File:Z2^4; subgroups list.svg
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Height | 10008.774 |