# Why is The Sum of All Natural Numbers Equal to -1/12?

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

11 October 2024

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

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# The Monty Hall Problem

05 July 2024

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

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# When AI Can Get into Top Universities, Is Ten Years of Hard Study Still Worth It?

25 June 2024

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.

16 May 2024

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

06 May 2024

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.

22 April 2024

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