Re: minimizing the absolute value of a complex number

On Aug 22, 1:43 pm, Greg Heath <he...@xxxxxxxxxxxxxxxx> wrote:
On Aug 22, 1:16 pm, zingas <shammashah...@xxxxxxxxx> wrote:

hi

 can anybody tell me how to minimize the absolute value of the complex
function

exp(jP)+exp(2*pi/180j)

 where P is the unknown  i have some clue regarding taking the Cos and
Sin values but i dont know how to minimize the equations

 Re{exp(jP)}+Re{exp(2*pi/180j)}=0
 Im{exp(jP)}+Im{exp(2*pi/180j)}=0

simultaneously in methamatica or other software

The solution is trivial.

 Picture an arrow from the origin to exp(j*2*pi/180).
Next add an arrow from that point to
exp(j*2*pi/180) + exp(j*P) and another arrow from
the origin to exp(j*2*pi/180) + exp(j*P).

Now vary P to spin the second arrow and stop when
the length of the third arrow is maximized.

Whoops! I mean is minimized.

Hope this helps.

Greg

.

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