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Explores the limit of a sequence and its convergence properties, including boundedness and monotonicity.
Explores the properties of exponential functions, including growth, decay, and their relationship with logarithmic functions.
Explores the definition, formation, discovery methods, and search for life of exoplanets, including the history of discoveries and the Drake Equation.
Explores mutual information for quantifying statistical dependence between variables and inferring probability distributions from data.
Introduces hyperbolic geometry, covering complete metric spaces, isometries, and Gaussian curvature in dimension 2.
Introduces Hidden Markov Models, explaining the basic problems and algorithms like Forward-Backward, Viterbi, and Baum-Welch, with a focus on Expectation-Maximization.
Explores finite dimensional spaces, covering extraction process, bases generation, and space completion.
