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Paata Ivanisvili

@PI010101 • 5,449 subscribers

Professor of Mathematics @ UCI. Former postdoc @ Princeton. Exploring what AI can (and can’t) do in math.

Shorts

Still excited about these 3Blue1Brown-style videos generated by AI. Here’s a beautiful illustration of a classic analysis problem: Let f be convex, nonnegative on [0,∞), with f(0)>0 and f(x)→0 as x→∞. Place a light source at (0,b) with 0<b<f(0). Rays reflect off the graph of f and the x-axis following the usual laws of optics. Question: can any ray escape to +∞, or do all trajectories eventually come back? Prompt to video

Still excited about these 3Blue1Brown-style videos generated by AI. Here’s a beautiful illustration of a classic analysis problem: Let f be convex, nonnegative on [0,∞), with f(0)>0 and f(x)→0 as x→∞. Place a light source at (0,b) with 0<b<f(0). Rays reflect off the graph of f and the x-axis following the usual laws of optics. Question: can any ray escape to +∞, or do all trajectories eventually come back? Prompt to video

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