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Home » = 2^3 \times 3^2 - Belip

= 2^3 \times 3^2 - Belip

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 \langle \Phi_B \rangle = \frac{1}{T} \int_0^T \Phi_B(t) \, dt = \frac{1}{T} \int_0^T 0 \, dt = 0

📌 The time-averaged magnetic flux is:

📌 Question:** A cultural anthropologist observes a ceremonial circle divided into 12 equal segments, each representing a lunar phase. If a participant starts at segment 1 and jumps \( n \) segments clockwise each day, where \( n \equiv 7 \pmod{12} \), after how many days will the participant return to segment 1?

📌 The participant jumps \( n = 7 \) segments clockwise each day modulo 12. We seek the smallest positive integer \( d \) such that:

📌 7d \equiv 0 \pmod{12}

📌 This means \( 12 \mid 7d \). Since \( \gcd(7, 12) = 1 \), 12 must divide \( d \). Thus, the smallest such \( d \) is:

📌 After 12 days, the total displacement is \( 7 \times 12 = 84 \equiv 0 \pmod{12} \), returning to the starting segment.

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