i spent a very enjoyable math binge day learning about waves and what i learned is that waves are extremely fucked up
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This is like the tip of the iceberg of wavy fuckedness
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For some absolute cosmic bullshit, look into: Huygenās principle, āoptical lenses as Fourier transformsā and, maybe especially, like: āfourier transform wavefunctionā
Itās been a while, but yeah the universe is wild and waves are cool
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one thing iām starting to suspect is that linear algebra is much more insane than it looks to students in an intro course but you donāt really see the insanity unless you do computations with gigantic matrices that, like, approximate differential operators
Yes! Eigenvalues are magic. I only grokked differentiation of functions when I realized it produces the locally best fit linear transformation. And many vector spaces are way, way stranger than the R^n we tend to imagine...
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do you have an example of this?
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