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3Blue1Brown - e to the pi i, a nontraditional take (old version)

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First published at 06:15 UTC on February 20th, 2021.

#3blue1brown
#mathematics
#maths

Bruma Hobo and the in be to that of a vs on an is

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Stolen from https://youtube.com/watch?v=F_0yfvm0UoU (March 4, 2015)

Wait! There's an improved version: https://youtu.be/mvmuCPvRoWQ
Also, for the calculus-savvy, you'll prefer this one: https://youtu.be/v0YEaeIClKY
Home page: https://www.…

Stolen from https://youtube.com/watch?v=F_0yfvm0UoU (March 4, 2015)

Wait! There's an improved version: https://youtu.be/mvmuCPvRoWQ
Also, for the calculus-savvy, you'll prefer this one: https://youtu.be/v0YEaeIClKY
Home page: https://www.3blue1brown.com/

The enigmatic equation e^{pi i} = -1 is usually explained using Taylor's formula during a calculus class. This video offers a different perspective, which involves thinking about numbers as actions, and about e^x as something which turns one action into another.

For more information on viewing exponential functions in this new light, check out this article: http://goo.gl/LPyc4R

Music: "Wyoming 307" by Time For Three, http://www.tf3.com/

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