Timeline for Is there a definition of $\log(x)$ for quaternion/octonion $x$?
Current License: CC BY-SA 4.0
13 events
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| Feb 1 at 10:09 | history | edited | Liviu Nicolaescu | CC BY-SA 4.0 |
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| Feb 1 at 10:09 | comment | added | Liviu Nicolaescu | @LSpice Thanks for point this out. You are correct. | |
| Jan 31 at 19:36 | comment | added | LSpice | Should $\in$ in $t \in \exp(t v)$ be $\mapsto$? | |
| Nov 3, 2023 at 15:15 | comment | added | Liviu Nicolaescu | The formula I wrote for quaternions is valid for octonions. if $x$ is an octonioan then $x=\Vert x\Vert q$ where $q$ is a norm one octonion. To find $\log q$ of this octonion use formula (1) in my explanation without any changes. | |
| Nov 3, 2023 at 15:12 | history | edited | Liviu Nicolaescu | CC BY-SA 4.0 |
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| Nov 3, 2023 at 12:45 | comment | added | Liviu Nicolaescu | What I was trying to suggest is that you are looking for the inverse of the exponential map on a rather special Rimann manifold: round sphere. The exponetial map in such case has a simple description and a simple inverse. | |
| Nov 3, 2023 at 9:59 | comment | added | Dieter Kadelka | Thank you, Liviu Nicolaescu. I will try to implement your suggestions, but maybe its impossible to prisent a final answer to my problem. | |
| Nov 2, 2023 at 23:05 | history | edited | Liviu Nicolaescu | CC BY-SA 4.0 |
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| Nov 2, 2023 at 22:35 | history | edited | Daniel Asimov | CC BY-SA 4.0 |
Corrected {1} → {-1}
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| Nov 2, 2023 at 16:03 | history | edited | Liviu Nicolaescu | CC BY-SA 4.0 |
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| Nov 2, 2023 at 15:47 | history | edited | Liviu Nicolaescu | CC BY-SA 4.0 |
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| Nov 2, 2023 at 15:30 | history | edited | Liviu Nicolaescu | CC BY-SA 4.0 |
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| Nov 2, 2023 at 15:08 | history | answered | Liviu Nicolaescu | CC BY-SA 4.0 |