Physics
The Physics of Superfluidity
The Frictionless Flow of Liquid Helium at Temperatures near Absolute Zero
Latest
Gradient Descent
Gradient Descent for Machine Learning, Explained
In typical machine learning problems, there is always an input and a desired output. However, the machine doesn’t really know that.
Algorithm
The Power of Binary Search
Binary search is ubiquitous. Even if you are not aware of it, you have most likely used some (approximate) version of binary search one way or another
Babylonian
A Modern Look at Square Roots in the Babylonian Way
Revisiting the Babylonian method for square roots: why and how does it work?
Philosophy
Professor E. Brian Davies’s Mathematical Empiricism
This commentary is on the relevant parts of Davies’s book, Science in the Looking Glass. The following is not a book review.
Philosophy
The Demons of the Mathematicians
There is a rich history of mathematicians, philosophers, and other thinkers invoking demons (real or imaginary) in their reasonings. The tradition goes back at least to the iconic ancient Greek philosopher Socrates.
Geometry
Geometrical Beauty: The Properties of the Tautochrone Curve
When a Sliding Bead at Rest Reaches Its Minimum Independently of Its Where It Started
Graph Theory
City Planning Using Graph Theory
Strongly Connected Components Algorithm
Entropy
What, Exactly, is Entropy?
Entropy is a bit of a buzzword in modern science. Usually it is used as a synonym for “disorder,” but it is so much more interesting than that.
Kinematics
Finding the Shape of the Surface of Water Rotating in a Bucket
A Simple Application of the Basics of Newtonian Physics in Accelerated Reference Frames
Electromagnetism
An Unorthodox Lecture on Electric Currents
An introduction to the concept of an electrical current
Newton
The Genius of Isaac Newton
A Modern Derivation of Newton’s Revolutionary Proof of the Inverse-Square Law