Weekly Problem: Number Theory

The Collatz Sequence Let’s explore one of the most deceptively simple yet unsolved problems in mathematics, first proposed by Lothar Collatz in 1937. The Rules Start with any positive integer n. At each step: If the number is even, divide

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Poem: The Brain can’t solve what only the heart ever knows.

The Brain can’t solve what only the heart ever knowsWhen reason fails, and only the heart discerns,You wander, seeking sense in your aching chest,A man of intellect, admired, yet yearns,With women, yet finds solace in unrest.Towering above, you wander in

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Logical Paradox- Weekly Problem No.11

[raw] The Paradox of the Logical Detective by Yildiz Culcu The Scenario In a prestigious logic institute, three renowned professors (A, B, and C) are found in the library. Each professor has written a statement about the others on a

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Weekly Problem No.10. The Repeated Prisoner’s Dilemma

The Prisoner’s Dilemma, first formulated by Merrill Flood and Melvin Dresher in 1950 and later formalized by Albert W. Tucker, represents one of game theory’s most profound insights into human behavior and strategic decision-making. The classic scenario unfolds as follows:

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Poem: Two women

Two WomenOnce there were two women, clever and young,Bound by a friendship where laughter was sung.One had a gift for numbers, sharp and wise,The other surpassed her, with stars in her eyes. Two women, both radiant like ice and fire,One’s

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