Tetration Forum › Tetration and Related Topics › Mathematical and General Discussion v
" tommy quaternion "

Linear Mode
" tommy quaternion "
tommy1729 Offline
Ultimate Fellow
*****
Posts: 1,924
Threads: 415
Joined: Feb 2009
#8
01/22/2021, 12:15 AM
(01/22/2021, 12:03 AM)MphLee Wrote: Ah I see...
you didn't mean that multiplication is not a bilinear map, we can represent only the translations...

you mean representable in the sense of a morphism from the Algebra multiplication to a \( M_{n\times n}(k) \) or to a GL(n), e.g. like a group representation, where we study characters and so on...
In fact how can we "represent" non associative operations? Huh

Sorry but I'm not very fluent with this yet..

Powerassociativity together with newton's binomium and tensor and nonlinear theory are useful.

However Im not an expert and your questions are good.
The complexity is the reason Im into this.


I feel hypercomplex numbers deserve more attention.
Maybe it is hidden or maybe it is not investigated sufficiently.
Or both.

regards

tommy1729
Website Find
Reply


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

Possibly Related Threads…
Thread Author Replies Views Last Post
  [NT] Caleb stuff , mick's MSE and tommy's diary functions tommy1729 0 3,549 02/26/2023, 08:37 PM
Last Post: tommy1729
  tommy's "linear" summability method tommy1729 15 23,652 02/10/2023, 03:55 AM
Last Post: JmsNxn
  tommy's group addition isomo conjecture tommy1729 1 4,750 09/16/2022, 12:25 PM
Last Post: tommy1729
  tommy's displacement equation tommy1729 1 4,991 09/16/2022, 12:24 PM
Last Post: tommy1729
  semi-group homomorphism and tommy's U-tetration tommy1729 5 9,564 08/12/2022, 08:14 PM
Last Post: tommy1729
  Tommy's Gaussian method. tommy1729 34 52,206 06/28/2022, 02:23 PM
Last Post: tommy1729
  tommy's new conjecture/theorem/idea (2022) ?? tommy1729 0 3,519 06/22/2022, 11:49 PM
Last Post: tommy1729
  tommy beta method tommy1729 0 3,430 12/09/2021, 11:48 PM
Last Post: tommy1729
  tommy's singularity theorem and connection to kneser and gaussian method tommy1729 2 7,007 09/20/2021, 04:29 AM
Last Post: JmsNxn
  tommy's simple solution ln^[n](2sinh^[n+x](z)) tommy1729 1 10,163 01/17/2017, 07:21 AM
Last Post: sheldonison



Users browsing this thread: 1 Guest(s)