Tag: Algebras

Why Linear Algebra is the Natural Language of Quantum Mechanics

Quantum mechanics is perhaps one of the more counter-intuitive fields in physics as it goes against our classical understanding of the physical world. However, not only is the physics quite bizarre, I believe the math is too when you first learn it. While in most other field of physics, the connecti...

Hopf Algebras and the Mathematical Structures of Morphosyntax

The study of natural language syntax has long been an area of interest for both linguists and mathematicians. In recent years, advances in mathematical theory and computational linguistics have led to a new approach to understanding the structure of natural language syntax. One such approach is the ...

From Linear Algebra to Deep Learning in 7 Books (Winter 2024 Update)

Each of those five books I think are really great, for their very own reasons. Elements of Statistical Learning for example is what got me excited about data science in the first place, back when I was an undergraduate student. In fact, all five books over the years helped me learn so much...