Projected Gradient Descent

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Demonstrates the relationship between the gradient and the divergence of a scalar field.

Explores recursion and induction for mathematical proofs through recursive algorithms and functions.

Covers 3-dimensional Anosov flows, exponential mixing, transfer operators, and equilibrium measures.

Covers absolute value, subtraction in integers, and comparisons between integers.

Explores Gaussian corelation inequality, Anderson's theorem, and log-concavity in probability theory.

Covers control structures, quadratic equation algorithm design, and correctness verification.

Explores divergence of vector fields, rotational definitions, and integral derivation applications.

Explores continuity and derivability in heat analysis, emphasizing uniform convergence and mathematical proofs.

Explores the Gauss and Green theorems in vector calculus, showcasing their applications through practical examples and geometric interpretations.

Explores transience and recurrence in Markov chains, emphasizing birth and death chains and random walks.