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|    sci.math.symbolic    |    Symbolic algebra discussion    |    10,432 messages    |
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|    Message 8,516 of 10,432    |
|    Axel Vogt to All    |
|    Re: when is sqrt(a/b) not the same as sq    |
|    01 Mar 14 22:35:06    |
      From: &noreply@axelvogt.de              On 01.03.2014 22:19, Nasser M. Abbasi wrote:       ...              As Edgar already said:              [sqrt(a/b) , sqrt(a)/sqrt(b)]:       subs(a=1, %);        1/2 1        [(1/b) , ----]        1/2        b       subs(b=-1, %);        [I, -I]              You need that for x * 1/x = 1              The reason is the brunch cut: sqrt is 'only defined'       except the negative real axis and continued to that       by a special 'rule' in a non-continous way              In Maple that is named "winding number", K:                     (z*w)^a = z^a*w^a * exp(-2*I*Pi*a*K(ln(z)+ln(w)))              --- SoupGate-Win32 v1.05        * Origin: you cannot sedate... all the things you hate (1:229/2)    |
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