File:Set partitions with no singletons until place n.svg
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Summary
editDescriptionSet partitions with no singletons until place n.svg |
This table shows the 52 partitions of a 5-element set Singletons are 1-element sets, and in the matrices they are represented by light gray squares on the main diagonal. The rows have values n from 1 to 6. In the cells of the left column are the non-singleton partitions of an n-element set - In the cells of the right column are the partitions of an n-element set with singletons The number of partitions in the cells of the left column is 0, 1, 1, 4, 11, 41 ... The highlighted partitions in the small tables below the main one show that |
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The partitions of a 5-element set:
Compare: Partitions of a 4-element set |
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editPermission 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.http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue |
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 21:33, 3 January 2012 | 1,616 × 1,148 (1.06 MB) | Watchduck (talk | contribs) | put only-singletons partition in right column | |
15:09, 3 January 2012 | 1,616 × 1,148 (1.06 MB) | Watchduck (talk | contribs) | {{Information |Description=The 52 partitions of a 5-element set<br> and the 41 non-singleton partitions of a 6-element set<br> represented by matrices of [[w:Equivalence relation|equivalence |
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