NP-Incompleteness
Lagrangian Mechanics
08 Jun 2026
I’ve been reading the book The Theoretical Minimum [1] by Leonard Susskind and George Hrabovsky and the first topic I don’t recall learning in school is Lagrangian mechanics.
In this post I’d like to cover this formulation and connect it with the mathematical concepts we studied previously.
Velox: The Vector
01 Jun 2026
Velox is an open source C++ library by Meta that can be used to perform computation common to distributed engines like Presto.
Its offerings include columnar operations, a rich type system, an expression parser and a smart resource management such as memory [1]. In this series of posts we’ll go over different components of Velox. In this inaugural post we cover the vector data structure which is used to store the columnar data.
Sobolev Spaces
02 May 2026
Continuing with my exploration of understanding physics from first math principles (see previous post on functionals), I wanted to learn more about Sobolev spaces.
These are a type of vector space named after the Soviet mathematician Sergei Lvovich Sobolev (1908-1989), featured on the thumbnail.
[Book] Stream Processing with Apache Flink
28 Apr 2026
In this post I’ll share my notes on the book Stream Processing with Apache Flink by Fabian Hueske and Vasiliki Kalavri.
This book covers many aspects of the popular open-source Apache Flink, a stream processing engine.
Functionals
26 Apr 2026
I started reading the book The Theoretical Minimum by Leonard Susskind and George Hrabovsky. A lot of the math from the early chapters looked familiar, but in Chapter 6: The Principle of Least Action, they describe and derive the Euler-Lagrange equation, which I don’t recall seeing before.
I wanted to explore these equations and their derivation, but from a more mathematical point of view. This led me to a short rabbit hole around functionals and Sobolev spaces and since I like learning things from first principles, I decided to cover functionals first.
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