Explores the inclusion-exclusion formula in discrete mathematics, demonstrating its applications through examples and probability scenarios.
Introduces digital circuits, covering binary systems, logic operators, Boolean algebra, memory elements, and practical examples like BCD decoders and shift registers.
Covers the binomial theorem, Pascal's identity, and triangle with examples and applications.
Delves into applying the GAMP algorithm to simplify the lasso problem and analyze optimization challenges in neural networks.
Covers the combinatorics of the simplex category and its equivalence to topological spaces, as well as the concept of functor categories for cosimplicial and simplicial objects.
