The sum of all natural numbers is -1/12. Is that real? Let's proof it!

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This article explores the Monty Hall problem through two approaches: enumerating all possible outcomes and applying Bayes' theorem.

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The significance of learning lies not in exam scores, but in solving open problems and creating new things. We should master the art of learning and using it to construct our thoughts and enrich our cognition.

Fisher

The problem from the 2024 Australian Mathematical Olympiad asks to determine all triples ((k, m, n)) of positive integers satisfying $k! + m! = k! \times n!$.

Fisher

Recently, two teenage girls — Calcea Johnson and Ne'Kiya Jackson — gave a new proof of the Pythagorean Theorem. This article explains how Johnson and Jackson proved the Pythagorean Theorem using simple trigonometry.

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The core idea of this proof is expressing $1$ as $x + y$ and then manipulating the expression.

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