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A guided proof demonstrating that the orbit of an irrational rotation is dense using the Pigeonhole Principle, and proving that there exists a power of 2 starting with 2025.
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A hard difficulty HSC math problem on power difference divisible by x minus y with full step-by-step solutions.- Published on
Explore a problem on prime denominators and cycle length.- Published on
A medium difficulty HSC math problem on product of two irrationals: counterexample with full step-by-step solutions.- Published on
Explore a problem on pythagorean means.