File:WeakOrder4Elements.png
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Summary
| Description | A weak order on the set {a,b,c,d}: a is ranked below b and c, b and c are of equal rank, and d is ranked above b and c. I) representation as a strict weak order <, where x<y is shown as an arrow from x to y; II) representations as a total preorder ≤, where x≤y is shown as an arrow from x to y; III) representation as an ordered partition, where the sets of the partition are shown as dotted ellipses and the total order on these sets is shown with arrows. |
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| Source | Own work, created on diagrams.net |
| Author | Axel Boldt |
| Permission (Reusing this file) |
public domain |
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
 
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This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. |
| The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
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| Date/Time | Dimensions | User | Comment | |
|---|---|---|---|---|
| current | 15:18, 30 October 2020 | 332 × 671 (32 KB) | AxelBoldt | {{Information |Description=A weak order on the set {a,b,c,d}: a is ranked below b and c, b and c are of equal rank, and d is ranked above b and c. I) representation as a strict weak order <, where x<y is shown as an arrow from x to y; II) representations as a total preorder ≤, where x≤y is shown as an arrow from x to y; III) representation as an ordered partition, where the sets of the partition are shown as dotted ellipses and the total order on these sets is shown with arrows. |Sourc... |
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