Average of a Curve ≠ Curve of the Average
1:01
YouTubeDataMListic
Average of a Curve ≠ Curve of the Average
Take a convex curve and draw a straight chord between two of its points. The midpoint of that chord is the average of the curve, but the curve evaluated at the average input sits lower down — and that stubborn vertical gap is Jensen's inequality, E[f(X)] ≥ f(E[X]). The average of a curve is simply not the curve of the average. #shorts ...
2.9K views1 month ago
Shorts
Convex Mirror Alpukat & Dekor CFD Banyuwangi — NuelDesy (31 Mei)
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Convex Mirror Alpukat & Dekor CFD Banyuwangi — NuelDesy (31 Mei)
nueldesy
What an amazing math theorem 🤩 Take *any* convex polyhedron, and find #Vertices -#Edges +#Faces.
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What an amazing math theorem 🤩 Take *any* convex polyhedron, and find
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