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NP-Incompleteness

Velox: A Simple Application

18 Jun 2026
Velox Logo

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 post we’ll cover a high level application that reads from a file, transforms data and writes back to a file. The goal is to get familiar with more concepts before diving further.

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Lagrangian Mechanics

08 Jun 2026
Thumbnail of Joseph-Louis Lagrange

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.

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Velox: The Vector

01 Jun 2026
Velox Logo

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.

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Sobolev Spaces

02 May 2026
Thumbnail of Sergei Lvovich Sobolev

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.

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[Book] Stream Processing with Apache Flink

28 Apr 2026
Book cover.

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.



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