Automatic VectorizationCovers automatic vectorization in geographic information systems, including structure detection, polygonization, and automatic tracing.
Arc Length ApproximationExplores arc length calculation for curves and polygons inscribed in circles using trigonometry and parametric equations.
Basis Sets IExplores the solution of the Schrödinger equation for many-electron systems using basis sets and the concept of basis functions.
Regular Pentagon ConstructionExplores the construction of a regular pentagon using Euclid's method and discusses historical constructions by Euclid and Ptolemy.
Self-Avoiding Random WalksExplores self-avoiding random walks and their mathematical models, emphasizing the importance of paths that are self-avoiding.
