Curvature and Inflection PointsExplores curvature, inflection points, and angular functions in plane curves, highlighting the importance of inflection points.
Harmonic Response: TheoryCovers the theory of harmonic response, including decomposition into simple elements and stable system behavior.
Zig Zag LemmaCovers the Zig Zag Lemma and the long exact sequence of relative homology.
Central Limit TheoremCovers the Central Limit Theorem and its application to random variables, proving convergence to a normal distribution.
Generalization ErrorExplores generalization error in machine learning, focusing on data distribution and hypothesis impact.
Fundamental GroupsExplores fundamental groups, homotopy classes, and coverings in connected manifolds.