#1 16. 07. 2011 05:04 — Editoval stuart clark (16. 07. 2011 05:05)
- stuart clark
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min. of Complex
Let 
then find Minimum value of 
also find corrosponding complex number 
.
Where 
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#2 16. 07. 2011 18:21 — Editoval anes (16. 07. 2011 18:22)
Re: min. of Complex
, you can consider 
instead. If you write it out as a function of real and imaginary part of z, you will se, the problem can be reduced to finding minimum of 
. Clearly, the minimum will be somewhere between 1/2 and 3/4. And since Q is continuous and having derivative of any order it's sufficient to investigate its local extremes (it's just a parabola, actually). 
and so the minimum of Q is obtained for 
and I can't be bothered to calculate it.Offline