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Hertz Theory: Real Area of Contact
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Related lectures (53)
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Explores the construction of Ramanujan graphs using polynomials and addresses challenges with the probabilistic method.
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Martingales: More Theory
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Explores the theory of martingales, including conditional expectations, Chernoff bounds, and Azuma's inequality.
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Ramanujan Graphs: Generating Functions and Expander Graphs
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Explores Ramanujan graphs, generating functions, non-backtracking walks, and expander graphs in relation to NP-hard problems.
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Covers the Poisson Paradigm, including the First/Second Moment Method and Martingales, discussing dependency graphs and Chernoff bounds.
Probability Theory: Markov's Theorem
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Expander Graphs: Properties and Eigenvalues
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Reformulating Problems: Tools and Intuition
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Focuses on open problems and the importance of reformulating problems with better tools and intuition.
Interlacing Families and Ramanujan Graphs
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Explores interlacing families of polynomials and 1-sided Ramanujan graphs, focusing on their properties and construction methods.
Ramanujan Graphs: Constructions and Similarities
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Explores Ramanujan graphs' constructions, matching polynomials, perfect matchings, and universal covers, along with quantitation and qualitative aspects.
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Partial Differential Equations and Hessians
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