Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °
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This is something that's been bothering me for some time, and I thought starting a post on in might help me out. I'm not posting it in the "Help Me" forum, because instead of a question, I was hoping for an open dialog. If some one feels this is the wrong place, then pleas move it to "Help Me."
With a similar method (that is kind of tedious to do out) I found:
I get how to find the kth root of any imaginary number, but I can't make a general rule, I have to do each out by hand.
Using Taylor series I can show :
And from there I think I get k^i, but only if k is a real number.
which leaves me with the following questions:
That last one is a calculator answer, but why?
Any other I properties would be fun to see, so if anyone else has something to offer, please, I'd like to learn as much as I can about complex numbers.
There are 10 types of people in the world, those who understand binary, those who don't, and those who can use induction.
Re: complex numbers
complex logarithm: clog(r*exp(i.t)) = ln(r)+i.t
Last edited by kylekatarn (2007-08-12 18:44:20)