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Relations, Sequences and Summations
This lecture covers topics related to relations, sequences, and summations, including definitions of upper and lower bounds, lattices, and applications of lattices in computer science. It also delves into partial orderings, lexicographic orderings, and visualization techniques like Hasse diagrams. The second part of the lecture focuses on sequences, explicit definitions, arithmetic and geometric progressions, recurrence relations, and strings. The lecture concludes with discussions on summations, including the sigma notation, and products. Various examples and applications are provided throughout the lecture.