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Complexity Classes: P and NPExplores complexity classes P and NP, highlighting solvable and verifiable problems, including NP-complete challenges.
Approximation AlgorithmsCovers approximation algorithms for optimization problems, LP relaxation, and randomized rounding techniques.
Stone-Weierstrass TheoremExplores the Stone-Weierstrass theorem, proving uniform density of specific function families on compact sets.
Orthogonal PolynomialsExplores L^2 bases and orthogonal polynomials, discussing their properties and applications in polynomial approximation.