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AdS/CFT CorrespondenceExplores the AdS/CFT correspondence in various dimensions and its implications for string theory and quantum gravity.
Faces, Facets and VerticesCovers the concepts of faces, facets, and vertices in polyhedra, exploring minimal faces and inequalities.
Linear Programming BasicsCovers the basics of linear programming, defining corners, extreme points, and feasible solutions within polyhedrons.
Quantum Field Theory IICovers the Feynman Rules and contractions in Quantum Field Theory, emphasizing momentum conservation and symmetry factor in diagrams.
Prim's and Kruskal's AlgorithmsExplores Prim's and Kruskal's algorithms for finding minimum spanning trees in a graph, covering their correctness, implementation, and analysis.
Approximation AlgorithmsCovers approximation algorithms for optimization problems, LP relaxation, and randomized rounding techniques.
Basic Solutions and PolyhedraExplores extreme points, vertices, and basic feasible solutions in polyhedra, emphasizing their properties and construction.
Standard Model OverviewProvides an in-depth analysis of the Standard Model, covering topics such as the Higgs mechanism, gauge boson interactions, and the role of chirality in particle physics.