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Home » s = \frac13 + 14 + 152 = \frac422 = 21 - Crosslake

s = \frac13 + 14 + 152 = \frac422 = 21 - Crosslake

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Since frequency is inversely proportional to time, the number of tremors in hour $ t $ is $ f(t) = \frac{k}{t} $.

📌 But over hour 1: $ f(1) = k/1 = 48 $, so $ k = 48 $.

📌 However, if the model assumes cumulative tremors proportional to $ \sum 1/t $ over discrete hours, then the expected number in hour 3 is proportional to $ 1/3 $.

📌 But if the total tremors up to hour 3 are 48 (integrated), then total = $ k(\frac{1}{1} + \frac{1}{2} + \frac{1}{3}) \approx k(1 + 0.5 + 0.333) = k(1.833) $.

📌 Given 48 in first hour, total up to hour 3 is $ 48 + 24 + 16 + 8 $? Wait — better interpretation: if frequency in hour $ t $ is $ k/t $, and total in hour 1 is $ k/1 = 48 $, so $ k = 48 $.

📌 Then in hour 3, frequency = $ 48/3 = 16 $.

📌 Thus, 16 aftershocks are expected in the third hour.

📌 A theoretical physicist demonstrates energy levels in a quantum model where the energy of a particle in the nth state is $ E_n = -13.6/n^2 $ eV. What is the energy difference between the n=2 and n=3 states?

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