LED, Light and ColorCovers the energy and radiation of LEDs, transitions in energy levels, and color synthesis.
Lexicons, n-grams and Language ModelsExplores lexicons, n-grams, and language models, emphasizing their importance in recognizing words and the effectiveness of n-grams for various tasks.
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.