||4 years ago|
|README.md||4 years ago|
|from-dominoes-to-hexagons.pdf||4 years ago|
|graph-isomorphism-and-representation-theory.pdf||4 years ago|
|intro-to-tropical-algebraic-geometry.pdf||4 years ago|
|tilings.pdf||4 years ago|
|transcendence-of-pi.pdf||6 years ago|
📜 The Transcendence of Pi by Steve Mayer
📜 Tilings by Ardila
The paper covers a broad swath of the topic on analysis of tiling, and related strategies.
📜 From Dominoes to Hexagons by Thurston
A paper on the generalization of tilings across different base planes.
📜 Graph Isomorphism and Representation Theory by Daniel Litt
The graph isomorphism problem shows how to construct graphs using a simple building-block ("basis"). The same method applies to finding different building blocks to construct the same things. This technique can be applied to file systems, greplin, trees, virtual DOM, etc.
A short paper, it also shows how to use
𝔰𝔩₂(ℂ)as a simple mathematical object that leads into the area of real mathematics—represention theory.
Conway's ZIP proof by George Francis and Jeffrey Weeks
This paper presents a classification proof: "How can it be that you know something about all possible
X, even the
xϵXyou haven’t seen yet?" The well-diagramed discussion requires no calculus, crypto, ML, or dense notation, making it good for most knowledge levels.
Packing of Spheres by N. Sloane
Discusses the role of E8 & Leech lattices in optimal codes for mathematically-ideal compression. Ikosahedrons, a tool in this investigation, are also presented.
Some Underlying Geometric Notions by Hatcher
High-Level survey which relates disparate topics, e.g. Platonic solids (A-D-E), Milnor’s exceptional fibre, and algebra.
What is a Young Tableaux? by Alexander Yong
Young Tableau appear in combinatoric problems, representation theory, and the calculus of Grassmannians. Another common topic is sorting, and smarter ways to organise sub-sorts.
Topology of Numbers by hatcher
Applied Algebraic Topology and Sensor Networks by Robert Ghrist
Recently there have been some papers posted about tropical geometry of neural nets. Tropical is also said to be derived from CS. This is a good introduction.
Elements of Algebraic Topology: Sheaves by Ghrist
Seminal writing on topological structures, from one most lauded books 'Elements of Algebraic Topology'