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  • sqrt of negative one is an incomplete definition of i..i is actually a four way commutator, like -1 is a two way commutator.e.g. -1^x = 1 if x is even or = -1 if x is odd.now,i^1 = i (duh), i^2 = -1, BUT ALSO: i^3 = -i, and i^4 = 1and then the cycle repeats, going through four values.now, complex numbers are a pair of reals, one of which is multiplied by i.
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