The high level: Some notes on abstract N-dimensional objects and operations

Research by José Portillo

GitHub: https://github.com/jportillo34/someMathWorks

LinkedIn: www.linkedin.com/in/jose-portillo-643138a1

This is a collection of articles and unfinished notes on linear algebra, geometry in high-dimensional spaces, and number systems. The focus is on abstract, high-level topics that have remained relevant over time and are largely independent of technological change. For more concrete, technology-dependent topics—such as the hardware and practical developments that support these mathematical formulations—please visit my other site, where I explore the history of computing at: History of Computing

Articles
Linear, Geometric, and Structural Transformations
EN ES
Understanding Logarithms and the Methods and Tools for Calculating and Using Them
EN
A Short Guide to Gradients, Parameter Space, and Embeddings
EN
On the Fundamental Acts of Computation and Cognition: Addition and Comparison
EN
Understanding Straight Line Forms: Analytical Geometry and Beyond
EN
Relaciones de Equivalencia — Caso de uso: Construcción de Sistemas Numéricos
ES