Deriving the Principle of Buoyancy Two thousand years ago, Archimedes had his famous eureka moment, where he discovered that one could measure arbitrary... 23 April 2026 physics
How far away is the horizon? The horizon is the point where your line of vision is tangent to the surface of the earth. We can use a simple geomet... 15 December 2025 mathematics
Deriving the volume of a hypersphere Let us derive the volume of an $n$-dimensional sphere. First, we shall consider the product of $n$ copies of the Gaus... 11 October 2025 mathematics
What is the shape of a hanging cable? What shape does a hanging chain or cable make? Initially, one may guess that it is a simple parabola. But this is not... 10 October 2025 mathematics physics
Setting up a Nebula cluster Since I have several computers across three different locations, I was looking for a way to ensure that they could al... 28 August 2025 computing
How to measure the height of a satellite If you go outside to observe the night sky during right after sunset or right before sunrise, you will be able to spo... 29 January 2023 physics
Deriving the Euler-Lagrange Equation In this post we will give a brief derivation of the Euler-Lagrange equation. Say we want to minimize the following in... 25 November 2022 mathematics
