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" tommy quaternion "

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" tommy quaternion "
tommy1729 Offline
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#12
02/12/2021, 11:17 PM
For the " tommy octonion " we have the following Jacobi matrix.
By that I mean the Jacobi matrix for taking f(X) = X^2 in that number system.

see pictures.

The inverse of that matrix corresponds to taking the square root whenever the matrix is invertible (the determinant of the original Jacobi is not zero).
( see : https://en.wikipedia.org/wiki/Inverse_function_theorem )

regards

tommy1729
Tom Marcel Raes


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Messages In This Thread
" tommy quaternion " - by tommy1729 - 01/18/2021, 11:03 PM
RE: " tommy quaternion " - by marraco - 01/21/2021, 12:49 PM
RE: " tommy quaternion " - by tommy1729 - 01/21/2021, 01:17 PM
RE: " tommy quaternion " - by MphLee - 01/21/2021, 09:27 PM
RE: " tommy quaternion " - by tommy1729 - 01/21/2021, 11:47 PM
RE: " tommy quaternion " - by MphLee - 01/22/2021, 12:03 AM
RE: " tommy quaternion " - by tommy1729 - 01/22/2021, 12:15 AM
RE: " tommy quaternion " - by tommy1729 - 01/22/2021, 12:10 AM
RE: " tommy quaternion " - by MphLee - 01/22/2021, 12:41 AM
RE: " tommy quaternion " - by tommy1729 - 01/23/2021, 01:17 PM
RE: " tommy quaternion " - by marraco - 01/24/2021, 06:53 AM
RE: " tommy quaternion " - by tommy1729 - 02/12/2021, 11:17 PM
RE: " tommy quaternion " - by JmsNxn - 02/14/2021, 02:24 AM
RE: " tommy quaternion " - by Gottfried - 06/19/2022, 08:07 AM
RE: " tommy quaternion " - by tommy1729 - 03/23/2021, 01:21 PM
RE: " tommy quaternion " - by tommy1729 - 09/16/2021, 11:34 PM
RE: " tommy quaternion " - by MphLee - 06/18/2022, 08:56 AM
RE: " tommy quaternion " - by Catullus - 06/18/2022, 09:06 AM
RE: " tommy quaternion " - by tommy1729 - 06/18/2022, 11:36 PM
RE: " tommy quaternion " - by MphLee - 06/25/2022, 09:13 PM
RE: " tommy quaternion " - by tommy1729 - 06/25/2022, 09:50 PM
RE: " tommy quaternion " - by MphLee - 06/18/2022, 09:26 AM
RE: " tommy quaternion " - by tommy1729 - 06/19/2022, 12:17 AM
RE: " tommy quaternion " - by tommy1729 - 06/25/2022, 07:52 PM
RE: " tommy quaternion " - by tommy1729 - 06/25/2022, 10:02 PM
RE: " tommy quaternion " - by tommy1729 - 07/04/2022, 06:05 PM
RE: " tommy quaternion " - by tommy1729 - 07/04/2022, 06:11 PM
RE: " tommy quaternion " - by tommy1729 - 07/04/2022, 06:36 PM
RE: " tommy quaternion " - by Catullus - 06/19/2022, 08:16 AM
RE: " tommy quaternion " - by tommy1729 - 07/04/2022, 07:30 PM
RE: " tommy quaternion " - by Catullus - 07/04/2022, 10:58 PM
RE: " tommy quaternion " - by tommy1729 - 01/20/2023, 12:33 AM
RE: " tommy quaternion " - by tommy1729 - 02/05/2023, 10:40 PM
RE: " tommy quaternion " - by tommy1729 - 02/10/2023, 11:53 PM
RE: " tommy quaternion " - by tommy1729 - 02/12/2023, 02:02 PM
RE: " tommy quaternion " - by tommy1729 - 02/14/2023, 11:30 PM
RE: " tommy quaternion " - by tommy1729 - 02/14/2023, 11:47 PM
RE: " tommy quaternion " - by tommy1729 - 02/05/2023, 10:51 PM
RE: " tommy quaternion " - by tommy1729 - 04/03/2023, 10:48 PM
RE: " tommy quaternion " - by tommy1729 - 04/03/2023, 11:24 PM
RE: " tommy quaternion " - by tommy1729 - 04/04/2023, 11:00 PM
RE: " tommy quaternion " - by tommy1729 - 05/23/2023, 07:56 PM

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