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The interaction between heat and elasticity
The problem When subject to an increase in temperature, a solid object will usually expand, and this expansion will act to increase internal stresses. In this way, variations in temperature affect solids' mechanical properties. On the other hand, inside a solid body, heat transfer occurs mostly by… Read more
August 16th, 2024 · 13 min read -
Reinventing the wheel: simulating collisions
Our task I am not a game designer; I have never used any engines such as Unity, nor have I done any 3D modeling before. Buuuuut.... I really like simulating physical systems. In my opinion, most Physics undergraduate curricula lack one thing in common: more emphasis on numerical simulations, be it… Read more
May 16th, 2024 · 16 min read -
Attention: a tale of three spaces
Motivation I admit I always had some trouble understanding Attention in the context of Transformers. There are several good references for this - Jay Alammar's The Illustrated Transformer is a common example. Still, I always had some difficulties building a mental model of what the attention… Read more
December 18th, 2023 · 16 min read -
13.8 billion years on a 10.1'' screen
Context Some moments in one's life can be awe-inspiring. You know, those moments when you feel deeply connected to something; when things make sense. Some people would label this feeling as spiritual; not being a very spiritual person myself (at least according to the common definition), I don't… Read more
August 4th, 2023 · 10 min read -
Lie derivatives and cluttered notation
The situation I've always had a love-hate relationship with notation in mathematics. On the one hand, I am an intuitive person who needs to understand the big picture of something before jumping into the details. In this sense, I prefer my math to be uncluttered and focusing on the key steps of a… Read more
June 25th, 2023 · 12 min read