The Algebra of Vector Calculus: Mastering the Levi-Civita Symbol
How to use index notation and the Levi-Civita symbol to mechanically derive complex vector calculus identities without memorization.
Topological Data Analysis and RAG: Building an Architectural Chatbot for Large Legacy .NET Repositories
A deep dive into transforming deeply coupled legacy .NET systems into mathematically mapped, queryable ecosystems. We explore Topological Data Analysis (TDA), community detection …
The Geometry of Echoes: Solving Savchenko 1.1.18
Determining the displacement of a vehicle relative to a moving sound wavefront using vector geometry and the law of cosines.
Mastering Dotfiles: A Guide to GNU Stow
Efficiently managing and symlinking personal configuration files using the power of GNU Stow.
Solving a Non-Elementary Integral: The Feynman Technique
Using differentiation under the integral sign to solve the Dirichlet integral and its variations.