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Hyperbolic GeometryIntroduces hyperbolic geometry, covering complete metric spaces, isometries, and Gaussian curvature in dimension 2.
Phase Plane AnalysisCovers the analysis of phase planes for linear systems and the Poincaré-Bendixson theorem.
Solving Parity Games in PracticeExplores practical aspects of solving parity games, including winning strategies, algorithms, complexity, determinism, and heuristic approaches.
Algebraic Closure of QpCovers the algebraic closure of Qp and the definition of p-adic complex numbers, exploring roots' continuous dependence on coefficients.
Completeness of LPExplores the completeness of LP, discussing implications of mathematical conditions and the convergence of series.
Electron Gas and Crystal LatticeExplores electron behavior in an electron gas and the periodic arrangement of atoms in crystalline solids, along with density of states in various dimensions and energy bands.