Comments by "Zach B" (@zachb1706) on "e^(π*i) для чайников" video.

  1. e was around for a long time. It was discovered by Bernoulli who was working with compound interest.
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  2. You can work it out algebraically: Define a variable z = a + bi z * i = ai + bi^2 = -b + ai Which is a rotation of 90 deg about the origin on the argand plane. In fact multiplying a number by any complex number will result in some sort of scaling and rotation.
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  3. Yes, but there's also an imaginary component. e^(x i) = cos(x) + i sin(x)
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  4. Nah what are you smoking.
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  5. Does it matter
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