Parabolic PDEs (e.g. heat) smooth out singularities. Hyperbolic PDEs (e.g. wave) displace singularities. https://en.wikipedia.org/wiki/Heat_equation … https://en.wikipedia.org/wiki/Wave_equation … https://en.wikipedia.org/wiki/Parabolic_partial_differential_equation … https://en.wikipedia.org/wiki/Hyperbolic_partial_differential_equation …pic.twitter.com/jPkN8RTZOJ
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Indeed, it is exactly since the solution is a sum of Gaussian radial basis functions!
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I say that exact thing once per day, on average.
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