in reply to Re^3: root function
in thread root function

Not complex numbers, series of complex numbers. e(2n+1)πi = -1, for any integer n. Which makes them undefined, for at least some purposes.

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Re^5: root function
by psini (Deacon) on Jun 22, 2008 at 07:14 UTC

    Following your interpretation of "undefined", sqrt(2) should be undefined too (two solution), or arctan(x) for any x in the interval [-1,1] (infinite periodic).

    Careful with that hash Eugene.