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Related lectures (24)
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Proper Actions and Quotients
Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.
Composition of Applications in Mathematics
Explores the composition of applications in mathematics and the importance of understanding their properties.
Quantum Eigenfunctions
Covers quantum eigenfunctions and the importance of A and B commuting for the same set of eigenfunctions.
Theoreus Chain Role: Lipschitz Sit
Covers the Theoreus Chain Role for Lipschitz functions and its practical applications.
Local Rings and Residues
Covers the proof of theorem 4.2 on multiplicities and the special structure of local rings at a simple point of a plane.
Normed Spaces
Covers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.
Limits and colimits in Top
Covers the concepts of limits and colimits in the category of Topological Spaces, emphasizing the relationship between colimit and limit constructions and adjunctions.
Markov Chains: Definition and Examples
Covers the definition and properties of Markov chains, including transition matrix and examples.
Weak Derivatives: Definition and Properties
Covers weak derivatives, their properties, and applications in functional analysis.
Cartesian Product and Induction
Introduces Cartesian product and induction for proofs using integers and sets.