Definitely Interesting Matrices
This is a post I've been wanting to write for a while - Quadratic forms and Definite matrices are everywhere in linear algebra and they…
Shortest Paths: Dijkstra’s Algorithm
Introduction I have a startling admission to make. When I was a student, I scoffed at Dijkstra's algorithm - I had paid it no mind…
Why “Gradient” Descent?
Recently I was thinking about the gradient descent algorithm and I was bothered was one question - Why do we go in the direction of…
Random Variables and Probability Functions
In this post I will build on the previous posts related to probability theory - I have defined the main results of probability from axioms…
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“It’s Not Special” – The Best Advice I Ever Had
Impostor syndrome is a real feeling and I get it at least twice a day with respect to what I do. Sure, I have a…
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Probability – Definitions and Axioms
After the last post discussing set theory here, the next logical step is to discuss the concept of probability theory. The theory of probability is…