Hertz Theory: Real Area of Contact

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Related lectures (32)

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Dijkstra's Algorithm: All-Pairs

Covers Dijkstra's algorithm and its application to the all-pairs shortest path problem.

Percolation Theory: FKG Inequality

Explores the FKG inequality in percolation theory and the reverse FKG theorem.

Poisson Paradigm: Qualitative / Quantitative

Covers the Poisson Paradigm, including the First/Second Moment Method and Martingales, discussing dependency graphs and Chernoff bounds.

Probability Theory: Markov's Theorem

Explores Markov's theorem, Chernoff bound, and probability theory fundamentals, including good coloring, 2-colorable graphs, and rare events.

Momentum and Collisions

Explores momentum conservation in collisions and its applications in nuclear physics and chain reactions.

Reformulating Problems: Tools and Intuition

Focuses on open problems and the importance of reformulating problems with better tools and intuition.

Graph Theory and Network Flows

Introduces graph theory, network flows, and flow conservation laws with practical examples and theorems.

Ramanujan Graphs: Constructions and Similarities

Explores Ramanujan graphs' constructions, matching polynomials, perfect matchings, and universal covers, along with quantitation and qualitative aspects.

Interlacing Family and Matrix Determinant Lemma

Explores interlacing family, matrix determinant lemma, and random matrix characteristics.

Convex Polyhedra and Linear Programs

Explores convex polyhedra, linear programs, and their optimization importance.