Hertz Theory: Real Area of Contact

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Explores interlacing families of polynomials and 1-sided Ramanujan graphs, focusing on their properties and construction methods.

Explores interlacing families, Ramanujan graphs, and their construction using signed adjacency matrices.

Explores interlacing polynomials, real rooted theorems, and pseudo-probabilistic methods in polynomial analysis.

Explores expanders, Ramanujan graphs, eigenvalues, Laplacian matrices, and spectral properties.

Explores the theory of martingales, including conditional expectations, Chernoff bounds, and Azuma's inequality.

Covers topics related to probability and statistics, including finding specific values and significant events.

Explores Ramanujan graphs, generating functions, non-backtracking walks, and expander graphs in relation to NP-hard problems.