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Explores quadratic forms in IR³, matrix properties, diagonalization, and positive definite matrices.
Covers the topology of Adeles and their relationship with quadratic forms, polynomial varieties, and finiteness properties.
Introduces iterative methods for linear equations, convergence criteria, gradient of quadratic forms, and classical force fields in complex atomistic systems.
Explains the Principal Axes Theorem for symmetric matrices and quadratic forms, showing the existence of orthogonal matrices for diagonalization.
