Timeline for Is there a "natural" interpretation of the power function for octonions and for sedenions?
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 6 at 21:46 | comment | added | Skip | @DieterKadelka My claim is that, since the definition of $x^y$ is not canonical, that means there will not be a "reasonable interpretation". If you do not feel my answer is sufficient, could you please indicate what sort of answer you would find sufficient? For example, can you point to what you would call a "reasonable interpretation" of $x^y$ when $x$ and $y$ are merely complex numbers? | |
| Jul 6 at 14:10 | history | edited | LSpice | CC BY-SA 4.0 |
Link to accepted answer
|
| S Jul 6 at 6:03 | history | suggested | Alex Pawelko | CC BY-SA 4.0 |
fix broken link
|
| Jul 5 at 22:06 | comment | added | Dieter Kadelka | Thank you for the interesting link math.stackexchange.com/questions/703593/… Of course you are right that the same problem arises for complex numbers. But this isn't the point. It's possible to define $\log$ and $\exp$ in such a way that $x^y$ can be defined with some (not all) properties of the real valued $x^y$. Addition breaks this process. | |
| Jul 5 at 19:51 | review | Suggested edits | |||
| S Jul 6 at 6:03 | |||||
| Jul 5 at 18:19 | history | answered | Skip | CC BY-SA 4.0 |