note
blazar
<blockquote><i>Can you construct arbitrary vector spaces (e.g., the quadratics) or are the complex numbers a special case?</i></blockquote>
<p><em>I personally believe</em> that this is <em>slightly</em> nonsense, since vector spaces are "simply" vector spaces, while the complex numbers can be described in a variety of different algebraic structures: they're a <strong>field,</strong> a two dimensional <strong>real algebra,</strong> a one dimensional <strong>complex algebra,</strong> etc. Now, I'm sure that binary field operations will be supported for complex numbers: thus whether arbitrary vector spaces will be supported or not, it <em>won't</em> be a matter of "special case."</p>
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