Open matthewshubin opened 5 years ago
Maybe a recursive(?) visualization of how the limit approaches -1?
I think that’s a great idea. can you think of a resource for getting the ball rolling on that recursive function ?
I’m familiar with recursive fractal trees etc
Thanks
Matthew
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On Dec 24, 2018, at 12:33 AM, Revi-M-Fadli notifications@github.com wrote:
Maybe a recursive(?) visualization of how the limit approaches -1?
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As you probably know Euler's formula is e^{ix}=\cos x+i\sin x,}
and when x=pi , Euler's formula evaluates to e^{i*pi }+1=0, meaning that only three rigorously proven transcendental numbers in existence, when brought together all seem to work out nicely to -1. Given that Euler's formula is used to model electromagnetic waves, and your recent work on Fourier analysis, perhaps there is some way we can create a coding challenge out of all this wonderfulness. Thank you!!!!
You are such an inspiration and a wonderful teacher.
Thank you.
Matthew Shubin