What's simplest, somewhat realistic function f(x) where f(x) --> inf as x-->x_lim, where x_lim is finite? No linear system can do this btw
see other responses... can't think of basic physical process that approximates 1/x well
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I just caught up, that's still my vote. If physical verisimilitude is desired, messing with infinity is questionable anyway.
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maybe shock waves, where density grows large quickly in small regions? https://en.m.wikipedia.org/wiki/Shock_wave
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shock filters are used to preserve discontinuities in image processing; they can find/preserve approximately instantaneous transitions
End of conversation
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