Timeline for Is there any use for $\sin(\sin x)$?
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Feb 4, 2021 at 3:05 | history | made wiki | Post Made Community Wiki by Ben Webster♦ | ||
| Feb 2, 2021 at 17:30 | comment | added | user44143 | My process was to: 1) write down the formulas for $f, f’, f’’$, 2) define $\cos(x)^2$ in terms of $f$ and $f’$, 3) express $f’’$ in terms of $f$ and this expression for $\cos (x)^2$, 4) simplify | |
| Feb 2, 2021 at 16:10 | comment | added | Martin Rubey | How did you find this beautiful equation? (I missed it, because my program looks for smaller powers first) No, I don't know of any solutions. It is very interesting that in this case, throwing away the zero coefficients makes the equation harder to find. | |
| Feb 2, 2021 at 15:05 | comment | added | user44143 | For $\sin(\sin(\cdot))$ there is also the 2d-order equation $$(f'' - f '' f^2 + f f'^2)^2 - (1 - f^2 - f'^2) (1 - f^2)^2=0$$ which may or may not be nice. Do you know any of the other solutions for any of these equations? | |
| Feb 2, 2021 at 9:22 | history | edited | Martin Rubey | CC BY-SA 4.0 |
correct weight
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| Feb 2, 2021 at 9:09 | history | edited | Martin Rubey | CC BY-SA 4.0 |
add weighted interpretation
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| Feb 2, 2021 at 4:24 | history | edited | user44143 | CC BY-SA 4.0 |
streamlined
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| Feb 1, 2021 at 21:21 | history | answered | Martin Rubey | CC BY-SA 4.0 |