File:Set partitions 4; list.svg

From Wikiversity
Jump to navigation Jump to search

Original file(SVG file, nominally 402 × 1,099 pixels, file size: 140 KB)

This is a file from the Wikimedia Commons. The description on its description page there is shown below.

Commons is a freely licensed media file repository. You can help.

Summary

Description

Ordering and enumeration of the 15 partitions of a 4-element set

The binary matrix on the right is in colexicographic order.
Read as reverse binary these are the numbers Sloane'sA231428(1..15) = 0, 1, 2, 4, 7, 8, 12, 16, 18, 25, 32, 33, 42, 52, 63.

This SVG was created with Inkscape.
Source Own work
Author
Watchduck
You can name the author as "T. Piesk", "Tilman Piesk" or "Watchduck".

Noncrossing partitions

Compare: Partitions of a 5-element set


Licensing

I, the copyright holder of this work, hereby publish it under the following licenses:
GNU head 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.
w:en:Creative Commons
attribution
This file is licensed under the Creative Commons Attribution 3.0 Unported license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
You may select the license of your choice.

Captions

Add a one-line explanation of what this file represents

Items portrayed in this file

depicts

image/svg+xml

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current14:55, 6 August 2014Thumbnail for version as of 14:55, 6 August 2014402 × 1,099 (140 KB)Wereldburger758Cleanup of file. Valid SVG now.
16:49, 28 February 2014Thumbnail for version as of 16:49, 28 February 2014402 × 1,099 (199 KB)Watchduck2-subsets
15:16, 7 January 2012Thumbnail for version as of 15:16, 7 January 2012332 × 1,124 (832 KB)WatchduckOffset 0: http://oeis.org/wiki/User:Tilman_Piesk/Lists_with_offset_0
23:43, 28 December 2011Thumbnail for version as of 23:43, 28 December 2011332 × 1,124 (806 KB)Watchduck{{Information |Description=The 15 partitions of a 4-element set in (reverse) lexicographical order This list and enumeration can be continued for all partitions of finite sets of any

The following page uses this file:

Global file usage

The following other wikis use this file:

  • Usage on ko.wikipedia.org

Metadata