Science Memes

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Listen here, Little Dicky (lemmynsfw.com)

submitted 5 days ago by [email protected] to c/[email protected]

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[–] [email protected] 11 points 4 days ago (9 children)

This very nice Romanian lady that taught me complex plane calculus made sure to emphasize that e^j*theta was just a notation.

Then proceeded to just use it as if it was actually eulers number to the j arg. And I still don’t understand why and under what cases I can’t just assume it’s the actual thing.

[–] [email protected] 1 points 3 days ago (1 children)

It is just a definition, but it's the only definition of the complex exponential function which is well behaved and is equal to the real variable function on the real line.

Also, every identity about analytical functions on the real line also holds for the respective complex function (excluding things that require ordering). They should have probably explained it.

[–] [email protected] 1 points 3 days ago

She did. She spent a whole class on about the fundamental theorem of algebra I believe? I was distracted though.

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