Timeline for Quantifying difficulty of integrals versus inverses
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 20, 2023 at 18:01 | vote | accept | Benjamin Dickman | ||
| Mar 15, 2023 at 12:52 | answer | added | Timothy Chow | timeline score: 4 | |
| Mar 15, 2023 at 9:44 | comment | added | user44143 | @Gro-Tsen, I put some empirical data on expressions of depth 2 in my answer. I expect that as $n\to\infty$, the ratios #invertible/#integrable and #integrable/#expressions both go to 0. | |
| Mar 15, 2023 at 8:56 | history | edited | YCor | CC BY-SA 4.0 |
removed capitals from title
|
| Mar 14, 2023 at 20:58 | comment | added | Benjamin Dickman | Suggestions from the down-voter or a potential future one are also welcome; I would like to improve the question, but this requires actionable feedback... | |
| Mar 14, 2023 at 20:04 | answer | added | user44143 | timeline score: 8 | |
| Mar 14, 2023 at 19:17 | comment | added | Gro-Tsen | Here's one possible approach: of all the elementary function expressions with depth $n$, one could ask asymptotically how many are invertible as an elementary function, and how many have an antiderivative as an elementary function, and how these two asymptotics compare. (I have no idea. I don't even know whether this sort of problem is remotely within reach.) | |
| Mar 14, 2023 at 19:11 | history | asked | Benjamin Dickman | CC BY-SA 4.0 |