That face when you realize Integral Transforms are just the matrix multiplication formula between a matrix and a column vector for infinite dimensional Hilbert space!


, how novel XD''

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Now what about Matrix-Matrix multiplication in Hilbert space? 8>

And then *Matrix inversion*!!? 8D

Which, would be a way of producing the inverse kernel of an arbitrary integral transform, right? :D

(That is, a roadmap of how to find a closed-form solution and/or a numerical approximation technique :> )

(Although numerical approximation is inherently finite-dimensional, so perhaps normal linear algebra, itself, serves as the numerical approximation of inverting integral transforms :> )

I feel like everyone either isn't an expert in what I'm talking about and thus has nothing to say because they have no clue what my words even mean,

Or they know all about it and have nothing to say but to quietly think "Bless his little heart, he's learning big boy things now :3"


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