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

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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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看上去复杂，像是线性代数问题，其实一点也不难。

Fisher

Today is $\pi$ Day. Happy $\pi$ Day!

Fisher

这题有点难，涉及离散对数的计算。但只要根据定义，加上对数运算法则和同余理论，还是可以证明出来的。

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