Algorithm
Engineers & Algorithms
Why engineers should know their algorithms
Algorithm
Linear Algebra
A Guide to Inverting Matrices for Analysts
One of the oldest and most thoroughly studied problems in both linear algebra and numerical analysis is finding solutions for Ax = f. In a first linear algebra class, one might learn about how to identify what matrices are invertible, and calculate inverses by hand (very likely by means of Gaussian
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
Graph Theory
City Planning Using Graph Theory
Strongly Connected Components Algorithm
Linear Algebra
How Does Compression Work?
SVD decomposition and a demo of an image compression.
Algorithm
The Boyer-Moore Algorithm
Computing the majority vote on pen and paper
Algorithm
Let’s Design A Simple Algorithm
From elementary mathematics, we are familiar with the four basic mathematical operations associated with numbers — addition, subtraction…
Number Theory
A Formula For Fibonacci Sequence
Fibonacci numbers are one of the most captivating things in mathematics. They hold a special place in almost every mathematician’s heart…
Automata Theory
Elementary Cellular Automaton
A Theory On How Simple Structures Generate Complex Systems
Pi
Estimating π with Monte-Carlo-Simulations
The easy, the sophisticated and the surprising way of estimating π