Physically Interesting Differential Equations 1: The Newton Pendulum

The picture is quite pretty, but let us try and make sense of it. The vectors point towards the direction of motion, imagine if you are standing on a point in the graph, your motion will follow the direction of the vector, as if you are flowing in a river. The x-axis represents \(\theta\) and […]

Equations of the Weeks Archive 2020

Week 1 March 20th 2020 \[\frac{d^2\psi}{dx^2}+\frac{8\pi^2m}{h^2}[E-U(x)]\psi (x)=0\] We start off strong with the one dimensional \(\text{Schr}\ddot{o}\text{dinger Equation}\). An important equation for all of quantum mechanics, well at least in 1-dimension. Week 2 March 30th 2020 \[P(A|B)=\frac{P(B|A)P(A)}{P(B)}\] This week we are taking it back to the fundamentals. The Bayes Theorem, arguablly the most rudimentary and important in […]

Visualisation of the COVID-19 Outbreak in the US using Wolfram Language

The current pandemic is probably what’s occupying everyone’s mind recently. Though Physics with Ease promised an escape from the world, but nevertheless looking at something like this could be beneficial. A noteworthy thing is that I wrote this article whilst in quarantine. There have been numerous resources/articles published on this subject already that are by […]