I consider two alphabets $\Sigma_1 = \{1, 2\}^2 = \{ 11, 12, 21, 22\}$ and another one as $\Sigma_2 = \{3, 4\}^2 = \{33, 34, 43, 44\}$, then I define two complex Euclidean space as: $$X = C^{\Sigma_1} = [i, 2i, 3i, 4i]^T $$ and $$Y = C^{\Sigma_2} = [5i, 6i, 7i, 8i]^T$$ are these two valid and different examples of complex Euclidean space? Am I not considering spaces of the same dimension?
2026-03-29 19:25:17.1774812317
Valid Example of Complex Euclidean Space
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