Quaternions: the unspoken heroes
Are 4 dimensions too much for rotations in 3 dimensions? Quaternions show us otherwise.
Elliptigon
The Learning Community
Latest posts
When Born-Oppenheimer Fails
Most of our models in quantum chemistry are wrong.....kinda, read this article by Pranay to find out where key assumptions go wrong
SUSY: The search for a potential partner
What if we big-brained Quantum mechanics?
How much do you really know?
Information, is it even mathematically definable?
Understanding Uncertainty
What can we really know to be certain?
My Frame, Your Frame
The very foundations of physics rest on a concept called a "coordinate system". It is ridiculously simple to transform from one to another and this will set the stage for understanding the Theory of Special Relativity.
Beyond Chaos
Entropy is the measure of randomness. It seems much like a derived far drawn concept to explain other elaborate stuff. It could not possibly have a relation with our fundamental forces like gravity. Or can it?
I'm Radioactive, Radioactive
The first nuclear plant was not made by the Americans during the World War. Then when and where was it?
Disentangling Entanglement
The mathematics of "spooky action at a distance"
An Approachable Derivation of the Rayleigh-Jeans Law
Premise We can consider a black body to consist of electromagnetic radiation in thermal equilibrium with the cavity walls. When they are in thermal equilibrium, the average rate of radiation emission equals their average rate of absorption of radiation. The Rayleigh-Jeans theory was constructed on the notion that when the
Charting The Stars
A student's perspective on data-driven astronomy
Hyperbolic Functions and Non-Hyperbolic Claims
The traditional trigonometry functions are based on the coordinates of a circle. But what if we use something else? What we get is a set of very interesting functions that connect complex numbers, conic sections, and hanging ropes.
Walking on Water
Visiting the various methods of flotation to walk on water
Inside Out
A not-so-deep dive into the Mandelbrot set.
Radio Call from Space Taxis
In 1965, a comet was emitting a constant frequency of around 1600 MHz. Was it aliens hitchhicking a ride to Earth?