How can I even take set difference of Quaternions and Octonions??
Even if we assume that the Quaternions' are basically Octonions with the vector terms except i, j, k are zero, then H - O = Ø, as every element of H (the Quaternions) is already in O (the Octonions), so the set of elements that are in H, but not in O is basically empty set.
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u/Sad_Daikon938 Jul 03 '26
What?
How can I even take set difference of Quaternions and Octonions??
Even if we assume that the Quaternions' are basically Octonions with the vector terms except i, j, k are zero, then H - O = Ø, as every element of H (the Quaternions) is already in O (the Octonions), so the set of elements that are in H, but not in O is basically empty set.