How do we model energy and deformation together? This article bridges classical thermodynamics and continuum mechanics, deriving the coupled field equations of Continuum Thermodynamics to analyze non-equilibrium thermo-mechanical processes.
This post explores the various types of open source licenses, highlighting their core requirements, use cases, and key differences. It provides a quick selection guide to help readers choose the most suitable license for their projects, emphasizing the importance of understanding the freedom spectrum, patent handling, and compatibility of each license type.
A clear explanation of two commonly confused acoustic metrics. Learn why foam panels don't block sound—and why concrete walls don't absorb it.
Explore the fascinating mathematics behind 9 categories of fractals—from the Mandelbrot Set to 3D Menger Sponges. Discover how simple iterative rules create infinite complexity in nature and art.
The definitive Docker starter guide: Master containerization fundamentals, data persistence with volumes, and multi-container orchestration with Docker Compose. Includes a practical cheat sheet for daily development workflows.
Ditch Overleaf for local speed. A complete guide to setting up a professional LaTeX environment with VS Code + TeX Live + SumatraPDF, including synctex support for forward/inverse search.
The Explorer's Field Guide: A complete index of the Unsupervised Learning series, summarizing 9 algorithms with their core analogies and a master decision compass.
Master Association Rules: The 'Symbiosis Scouter'. Learn how Apriori finds hidden partnerships (Support, Confidence, Lift) in your data ecosystem.
Master Anomaly Detection: The 'Rare Species Hunter'. Learn how Isolation Forest (20 Questions) and LOF (Loneliness Index) find outliers in your data.
Master t-SNE and UMAP: The 'Origami Masters' of data. Learn how to unfold High-D 'crumpled paper' manifolds to reveal hidden structures that PCA misses.