Sunday, 26 August 2018

exponential function - What is the most intuitive explanation for euler's identity?




Is there any intuitive explanation for:
$$e^{i\pi} + 1 = 0$$



About whether this question is a duplicate, what is asked for is not a proof but an explanation that helps with the not-so-intuitive aspects of the identity.


Answer



Unit vectors in the opposite direction along the real line in the complex plane add to zero.




enter image description here


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