Tag Archives: imaginary numbers

EYE TO EYE

Can anyone give a geometric reason why an imaginary number raised to the power of an imaginary number generates four real numbers and no imaginary ones? Continue reading

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What is e exp (-i π) ?

I posted a long answer on Quora.com where it sort of didn’t do so well. Answers given by others were much shorter but lacked geometric insights. After two days my answer was the most read but least upvoted. It did receive a few positive replies, though.
I can’t help but believe that there must be nerds in cyberspace who might enjoy my answer. Why not post it on my blog? Maybe someday one of my grandkids will get interested in math and read it. Who knows? Continue reading

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