Timeline for What's a good notation to show elements of relation composition?
Current License: CC BY-SA 4.0
15 events
| when toggle format | what | by | license | comment | |
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| May 13, 2021 at 9:00 | answer | added | Massimo Ortolano | timeline score: 6 | |
| May 13, 2021 at 1:38 | comment | added | Daniel R. Collins | @NickC: That's interesting. But isn't that likewise composing whole permutations (as opposed to just individual pairs at a time?); and FWIW, my Hungerford algebra text uses a circle-dot for that same operation. That said, my current instinct is actually to use solid bullet for the desired operation (kind of thinking bullet ~ bridging operation). | |
| May 12, 2021 at 23:53 | comment | added | Nick C | There is a "dot" notation for composing elements in a permutation group. What about adopting that for this setting? | |
| May 12, 2021 at 6:06 | answer | added | Trevor Wilson | timeline score: 6 | |
| May 11, 2021 at 20:26 | history | edited | Daniel R. Collins | CC BY-SA 4.0 |
Fix example solution
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| May 11, 2021 at 2:46 | comment | added | Daniel R. Collins | ... and: I think I want them associating left-to-right (unlike the composition operator), so the "internal linkage" per the definition is more obvious. | |
| May 10, 2021 at 22:45 | answer | added | user507 | timeline score: 3 | |
| May 10, 2021 at 21:43 | comment | added | Daniel R. Collins | @StevenGubkin: Maybe with a different symbol for the operator. | |
| May 10, 2021 at 21:21 | history | became hot network question | |||
| May 10, 2021 at 13:53 | comment | added | Steven Gubkin | @DanielR.Collins I also see no real problem with $(3,2) \circ (1,3) = (1, 2)$ | |
| May 10, 2021 at 13:49 | comment | added | Daniel R. Collins | @StevenGubkin: Maybe? But: I'm concerned that the switch from ordered-pair to $R$-operator notation may not be totally clear for my students. | |
| May 10, 2021 at 13:48 | comment | added | Daniel R. Collins | @JoelReyesNoche: Thanks. But: I'm actually more troubled by the arrow than I am the plus-sign. | |
| May 10, 2021 at 13:44 | comment | added | Steven Gubkin | Or 2S3R1, which has the advantage of having the following cute mnemonic: $c S\circ R a$ iff $c S b R a$ for some $b$. | |
| May 10, 2021 at 13:35 | comment | added | JRN | You can invent a symbol, like $(1,3)\star(3,2)\to(1,2)$. | |
| May 10, 2021 at 13:19 | history | asked | Daniel R. Collins | CC BY-SA 4.0 |