Number Theory
Transcendental Numbers
Into the Unknown
Latest
Quantum Physics
Nature Isn’t Fuzzy: Quantum Uncertainty, Inconsistency and Paradox
… And Nature isn’t clear either. Nature is neither fuzzy nor not fuzzy.
Statistics
Huber Loss: Why Is It, Like How It Is?
On the day I was introduced to Huber loss by Michal Fabinger, the very first thing that came to my mind was the question: “How did someone joined these two functions in a mathematical way?”. Apart from that, the usage of Huber loss was pretty straightforward to understand when he
Complex Analysis
The Beautiful World of Complex Functions
Exploring Hidden Structure in Higher Dimensions
Geometry
Cubic Polynomials - Using Similar Triangles to Approximate Roots
Applying Similar Triangles to approximate roots aided by ‘natural’ Cubic architecture
Philosophy
Wittgenstein Didn't Absolutely Agree with Gödel’s Theorems and Russell’s Paradox
(and he was right)
Puzzle
Heron’s Shortest Path Problem
Which path minimizes the distance needed to get water and then transport it to the green village?
Computer Science
Babbage, Lovelace, and The First Computer
Long before Alan Turing revolutionized the field of computation, there was Charles Babbage and his difference engine. Babbage was a man of many skills, most notably in machinery and in economics, even briefly attempting to begin a political career. He grew frustrated with many of the practices used in England
Mathematical Modelling
The Time Evolution of a Particle’s Position
To determine the position of a particle can be a very challenging task. The obvious way is to look at it and see where it is at that time. However, as one can expect, measuring the position of a particle at every instance of time is very difficult (impossible). (A
Poisson
The ‘Balls Into Bins’ Process and Its Poisson Approximation
A simple, yet flexible process to model numerous problems
Series
The Mind-Boggling Properties of the Alternating Harmonic Series
Riemann’s simple algorithm to approximate computationally any real number
Physics
Beyond Noether’s Theorem: The Physics of Broken Symmetries
Back in June, I wrote this article about Noether’s Theorem, the idea that continuous symmetries and conservation laws are intrinsically linked. But, while Noether’s Theorem is one of the most beautiful concepts in physics, symmetries themselves are equally as fundamental, and often similarly beautiful. And further, much of