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Constraints and Lagrange
Introduces constraints, Lagrange multipliers, and generalized coordinates in physics.
Optimization: Constrained Volume Problems
Explores constrained volume problems using Lagrange multipliers to find extrema under constraints in various examples.
Symmetry in the Plane
Explores the modern definition of symmetry and its practical applications.
Untitled
Random-Subcube Model
Introduces the Random-Subcube Model (RSM) for constraint satisfaction problems, exploring its structure, phase transitions, and variable freezing.
Optimization with Constraints: KKT Conditions
Covers the KKT conditions for optimization with constraints, essential for solving constrained optimization problems efficiently.
Dynamic Systems: Course Review
Covers dynamic systems, trajectories, growth models, stability of fixed points, and linearization of models.
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Synchronization in Kuramoto Model
Explores the Kuramoto model for synchronization in phase oscillators and discusses stability criteria and critical coupling values.