🧮 Exploring the Curious Ratio: 987654321 ÷ 123456789
A neat blend of math and computation—Cook shows how programming can act as both a proving ground and a lens for mathematical discovery.
The article investigates a striking numerical phenomenon: in any base greater than 2, dividing the number formed by digits in descending order by the one formed in ascending order yields a result almost equal to an integer (approximately b−2). Through Python experiments up to base 1000, the author shows that this near-integer behavior stems from floating-point precision limits rather than true mathematical equality. The piece demonstrates how computational experiments can illuminate subtle mathematical properties beyond formal proofs.
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💊 GLP-1 Therapeutics: Emerging Role in Addiction and Substance Use Disorders
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🏺 How Ancient People Saw Themselves
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🧠 Language Models Are Injective—and Therefore Invertible
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