The dot product is the most commonly used vector operation in machine learning. This article will introduce the dot product operation and its underlying mathematical significance.
The sum of all natural numbers is -1/12. Is that real? Let's proof it!
This article explores the Monty Hall problem through two approaches: enumerating all possible outcomes and applying Bayes' theorem.
The problem from the 2024 Australian Mathematical Olympiad asks to determine all triples ((k, m, n)) of positive integers satisfying $k! + m! = k! \times n!$.
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.
The core idea of this proof is expressing $1$ as $x + y$ and then manipulating the expression.
