The function $ L(w) = w^2 - 2mw + m^2 + 4 $ is a quadratic in $ w $. The minimum occurs at $ w = \frac2m2 = m $, since the vertex of $ aw^2 + bw + c $ is at $ w = -b/(2a) $, here $ a = 1 $, $ b = -2m $, so: - AMAZONAWS

📅 March 11, 2026 👤 scraface

Mar 11, 2026

$The function $ L(w) = w^2 - 2mw + m^2 + 4 $ is a quadratic in $ w $. The minimum occurs at $ w = \frac{2m}{2} = m $, since the vertex of $ aw^2 + bw + c $ is at $ w = -b/(2a) $, here $ a = 1 $, $ b = -2m $, so:$

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