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Related lectures (20)
Homotopy Lifting
Explains homotopy lifting, paths, proofs, constant paths, discrete spaces, and monomorphisms.
Calculus of Variations: Radon-Nikodym Theorem
Covers the Radon-Nikodym theorem and the uniqueness of signed Borel measures.
Monster Group Construction
Explores the construction of the Fischer-Greiss monster group, emphasizing its key properties and the process involved.
Permutations and Signature
Explores permutations, signature, and alternating multilinear forms in vectors.
Monstrous Moonshine
Explores Monstrous Moonshine, focusing on the 1979 discovery and its mathematical connections.
Wireless Receivers: Discrete Time Model and QAM
Covers the discrete time model calculation for wireless receivers and Quadrature Amplitude Modulation (QAM).
Solving the Quintic: Dominant Balance Analysis
Explores dominant balance analysis in solving the quintic polynomial, revealing insights into root behavior and the importance of symbolic expressions.
Bar Construction: Homology Groups and Classifying Space
Covers the bar construction method, homology groups, classifying space, and the Hopf formula.
Comparing Tangent Vectors: Parallel TransportMOOC: Introduction to optimization on smooth manifolds: first order methods
Explores the definition, existence, and uniqueness of parallel transport of tangent vectors on manifolds.
Spectral Properties of Non-negative Matrices
Covers the spectral properties of non-negative matrices and their interpretation in digraphs.