Technological Singularity

The technique of integration by parts can often be used for solving complex integrals, particularly if we need to integrate a function…

Hollywood and Only Fans may soon be out of business, as AI can captivate the human audience better, faster, more consistently, in more…

A diagonal matrix is a square matrix where every element except the leading diagonal is zero.

One of the biggest misconceptions in mathematical pedagogy is thinking of math as being equivalent to logical reasoning.

Can you solve this problem? Given an arbitrary integer, come up with a rule to decide whether it is divisible by 9 and prove it.

In mathematics, integration is the opposite process to differentiation. Where differentiation can be used to find the rate of change of a…

And the skies over Austin, Texas are as cloudy as the space between my ears after having stayed up far too late discussing the…

Have you ever found yourself engrossed in collecting items, perhaps trading cards, stickers, or even digital creatures in your favorite…

An Overview of the Derivation and Applications of EigenValues and EigenVectors in Machine Learning

Forming a square

After qualifying for the AIME exam, Jane Street ended up delivering a specialized t-shirt for me! The back of the t-shirt reads a math…

Can you solve this interesting puzzle? There are 5 bags with 100 coins in each bag. A coin can weigh 9 grams, 10 grams or 11 grams. Each…

I’ve discussed reading and writing several times but not ‘rthmetic. It tends to be the third wheel out of the bunch, which is unfortunate…

Some strategies that will help one draw strategic interactions between rational agents.

Have you ever wondered what multiplying matrices implies geometrically? Here it is

Suppose you rolled a fair dice, ten times. What is the probability that you would throw a six exactly three times?

Explore Underlying Concepts and Implementation of K-Means Algorithm

What should today’s education be like to meet the creative and problem solving needs in the era of advanced computers and AI?

General relativity, Albert Einstein’s theory, fundamentally reinterprets how gravity operates compared to classical Newtonian physics. In…

De Moivre’s theorem can be simply stated as:

Did you enjoy a view of the recent total solar eclipse? As luck would have it, I was situated right in the path of totality. Yup, it came…

The product of a square matrix A and a column vector v is a new column vector. The new vector will normally have a different direction from…

The matrix power not meant for mortal men

Finding integrals can be challenging because, unlike differentiation, we can’t usually integrate a function from first principles. Instead…

Unraveling the Maths: The Essential Mechanics of Backpropagation

The Fibonacci Sequence, named after the renowned Italian mathematician Leonardo of Pisa, also known as Fibonacci, has captivated the minds…

Understand the Concepts and Build PCA from Scratch using NumPy

“Cloudy Skies”

The Monte Carlo Method is a computational technique often used to solve complex problems involving variables with embedded uncertainty…

Richard Feynman

Infer the fraction of informed agents in the market using the order flow trades directions

Exercises of Hasbrouck’s Empirical Market Microstructure, Chapter 5