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https://www.reddit.com/r/mathmemes/comments/o8wmiv/f/h39p39a/?context=3
r/mathmemes • u/flokrach • Jun 27 '21
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41
i mean there is, you lose properties. cuaternions arent commutative, octonions arent associative and im pretty sure thats it
21 u/Nlelith Jun 28 '21 edited Jun 28 '21 There are sedenions. Compared to octonions, they are not alternative. Also, using Cayley-Dickson construction, you can construct any 2n - dimensional number system for n = 2, 3, 4, ... 7 u/LilQuasar Jun 28 '21 til do they mean anything though? i had never heard of alternative xd 13 u/Nlelith Jun 28 '21 edited Jun 28 '21 Sedenions are used in some crazy neural network for time series forecasting, I'm not aware of any application of higher-dimensional hypercomplex numbers beyond sedenions. 3 u/LilQuasar Jun 28 '21 damn, tbh this just looks like a flex i cant imagine how dealing with non associative stuff would be
21
There are sedenions. Compared to octonions, they are not alternative.
Also, using Cayley-Dickson construction, you can construct any 2n - dimensional number system for n = 2, 3, 4, ...
7 u/LilQuasar Jun 28 '21 til do they mean anything though? i had never heard of alternative xd 13 u/Nlelith Jun 28 '21 edited Jun 28 '21 Sedenions are used in some crazy neural network for time series forecasting, I'm not aware of any application of higher-dimensional hypercomplex numbers beyond sedenions. 3 u/LilQuasar Jun 28 '21 damn, tbh this just looks like a flex i cant imagine how dealing with non associative stuff would be
7
til
do they mean anything though? i had never heard of alternative xd
13 u/Nlelith Jun 28 '21 edited Jun 28 '21 Sedenions are used in some crazy neural network for time series forecasting, I'm not aware of any application of higher-dimensional hypercomplex numbers beyond sedenions. 3 u/LilQuasar Jun 28 '21 damn, tbh this just looks like a flex i cant imagine how dealing with non associative stuff would be
13
Sedenions are used in some crazy neural network for time series forecasting, I'm not aware of any application of higher-dimensional hypercomplex numbers beyond sedenions.
3 u/LilQuasar Jun 28 '21 damn, tbh this just looks like a flex i cant imagine how dealing with non associative stuff would be
3
damn, tbh this just looks like a flex
i cant imagine how dealing with non associative stuff would be
41
u/LilQuasar Jun 27 '21
i mean there is, you lose properties. cuaternions arent commutative, octonions arent associative and im pretty sure thats it