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Scalar, Vector or Tensor? Gravity
Discusses defining tensors, space-time dimensionality, and challenges in formulating a relativistic theory of gravity.
Machine Learning Fundamentals: Overfitting and Regularization
Covers overfitting, regularization, and cross-validation in machine learning, exploring polynomial curve fitting, feature expansion, kernel functions, and model selection.
Decomposition into Line Metrics: Example and Outlook
Covers the decomposition into line metrics, providing examples and discussing its implications.
Computational Thinking Test: Evaluation and Design
Presents a test to evaluate computational thinking skills, discussing its design, analysis of previous tools, sample question, and study results.
Galilean Transformations
Explores Galilean relativity, transformations between inertial coordinate systems, synchronized clocks, and visualizing motion in four-dimensional space-time.
Geometry: Euclidean Elements & Vitruvius
Explores Euclid's first proposition, ancient symmetria, and Vitruvius' architectural figures.
Linear Applications: Kernel and Preimage (Part 2)
Explores the kernel of a linear transformation and the concept of preimage.
Threshold Functions in Neural Networks
Explores threshold functions in neural networks for classifying data points based on positive and negative values.
Tori: Character Forms and Monomials
Explores Tori in algebraic geometry, emphasizing character forms and monomials.
Dimensional Analysis & Scaling Laws
Explores dimensional analysis, scaling laws, physical similarity, and the interdependency of variables in physical systems.