Simulation
Modelling and Simulation of Inverted Pendulum
Third article in series of Control systems
Latest
Linear Algebra
How Does Compression Work?
SVD decomposition and a demo of an image compression.
Applied Statistics
Everything You’ve Ever Known is Statistics
Information is never without uncertainty
Number Theory
Deriving and Understanding Binet’s Formula for the Fibonacci Sequence
The Fibonacci Sequence is one of the cornerstones of the math world. Fibonacci initially came up with the sequence in order to model the…
Philosophy
Things Themselves are Numbers: Contemporary Pythagoreanism
In some simple sense, mathematics may be viewed as simply an extremely useful tool. John D. Barrow however, holds a slightly different…
Probability Theory
Bayes’ Theorem and (Corona-) Virus Testing
With the current Corona Crisis going on the world, many people demand more testing. But from a mathematical point of view, just randomly (!!) testing more is not the answer. The problem here lies within the false positives that may occur when two very unlikely events are highly correlated.
Chemistry
Let’s Derive the Ideal Gas Law from Scratch!
With nothing but a good model, a few definitions, and some math, we’ll derive a fundamental relationship of chemistry.
Symmetry
Emmy Noether and One of the Deepest Observations in All of Physics
The Correspondence Between Symmetry and Conservation Laws
Factorials
Factorials and How to Compute Them
I am sure you all remember the surprise you had the first time you saw a “5!” or “7!”
Graph Theory
The Cycle Double Cover Conjecture
Delving into a deceptively simple-sounding problem that has gone unsolved for decades.
Knot Theory
To Be or Knot to Be
Hi everyone! As I mentioned in the last article about primes, this series is a place to learn about various STEM topics that I find
Applied Statistics
The Binomial Distribution Explained
You guess all 20 questions on your multiple-choice exam. What are the chances that you pass?