Context-Free GrammarsCovers context-free grammars, their equivalence to pushdown automata, and the hierarchy of grammar types.
Turing Machines: BasicsCovers the basics of Turing machines, including states, tape manipulation, and problem-solving capabilities.
LED, Light and ColorCovers the energy and radiation of LEDs, transitions in energy levels, and color synthesis.
Building Ramanujan GraphsExplores the construction of Ramanujan graphs using polynomials and addresses challenges with the probabilistic method.
Martingales: More TheoryExplores the theory of martingales, including conditional expectations, Chernoff bounds, and Azuma's inequality.
Interlacing PolynomialsExplores interlacing polynomials, real rooted theorems, and pseudo-probabilistic methods in polynomial analysis.