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Diagonal lemma
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Fundamental Groups
Explores fundamental groups, homotopy classes, and coverings in connected manifolds.
Spectral Decomposition of Symmetric Matrices
Explores the spectral decomposition of symmetric matrices, including diagonalization and orthogonal basis change matrices.
Introduction to Proofs
Introduces informal proofs, explores practical applications, and explains theorem proofs using direct and indirect methods.
Introduction to Proofs
Introduces informal proofs and their practical applications in computer science and mathematics, emphasizing the importance of proving theorems through direct and indirect methods.
Recursive Enumerability: Turing Machines and Undecidable Languages
Covers recursively enumerable languages, Turing machines, and the construction of undecidable languages.
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