Explores the statistical properties of the Freely-Jointed-Chain model and the Worm-like Chain Model transition from discrete to continuum.
Introduces basic observables and simple models in polymer science, emphasizing the importance of reproducible measurements and discussing the concept of one-dimensional polymers.
Explores the calculation of end-to-end distance in polymer theory, focusing on isotropy, probability distributions, and the Kratky-Porod model.
Explores the correct exponent for the end-to-end distance in polymer chains and its implications on chain correlations.
Delves into probability, statistics, paradoxes, and random variables, showcasing their real-world applications and properties.
Explores the Red bus/Blue bus paradox, nested logit models, and multivariate extreme value models in transportation.
Introduces probability, statistics, distributions, inference, likelihood, and combinatorics for studying random events and network modeling.
Explores continuous random variables, density functions, joint variables, independence, and conditional densities.
Explores air pollution analysis using wind data, probability distributions, and trajectory models for air quality assessment.
