# Blog

## A quick way to classify stationary points for any $f(x,y)$.

There are several methods of going about classifying the stationary points of a function $f(x,y)$. Here I would like to show a method that I prefer which involves minimal calculation. Let us look at the example of  begin{equation}f(x,y)=2x^3+6xy^2-3y^3-150xend{equation} It should be obvious from the 3D plot above that there are numerous stationary points on our […]

## Elementor #457

Table of Contents Being one of the two pillars of modern physics, the theory of relativity is widely recognized. In addition to $E=mc^2$ (which should really be $E=gamma (v) mc^2$) the theory of relativity covers a great range of topics, providing elegant explanations and theories that answer questions from “What is time?” to “What is inside […]

## Theorists vs. Experimentalists – Who’s work is more important?

It is perhaps blindly obvious that theorists and experimentalists are of equal importance. This is a rather simple and fundamental idea, it is analogous to the question of “Which one is more important? Your lungs or your stomach?” Of course, the answer is both are important. The reason is, just in case you haven’t realized, […]

## $E=mc^2$, a derivation

$E=mc^2$ is perhaps the most well known equation in the world. First proposed by a patent clerk working in Switzerland in his now world famous (but absolutely unreadable) paper ‘On the Electrodynamics of Moving Bodies’, compiled later by Minkowski, Einstein’s novel idea about how mass and energy are intricately linked and that the classical concept […]

## Physically Interesting Differential Equations 2: The Dampened Harmonic Oscillator

Welcome to the second article in the series: Physically Interesting Differential Equations, where we explore fascinating physical systems that can be modeled with differential equations. This week, we shall look at the Poisson equation. The Poisson equation is a class of partial differential equations that are often useful when doing physics of fields. One such example […]

Table of Contents A quadratics equation takes the form [ax^2+bx+c=0] where (a,b,c) are constants, (aneq 0) This equation is interesting because if we were to plot the equation as a function (y) of (x), we get an parabola. The graph, as we shall see, is charateristic of the motion exhibited by an object under the […]

## Introduction- A glance into the world beyond our intuition

Being one of the two pillars of modern physics, the theory of relativity is widely recognized. In addition to $$E=MC^2$$, the theory of relativity covers a great range of topics, providing elegant explanations and theories that answer questions from “What is time?” to “What is inside a black hole?”. Through the journey of modern physics, […]