Explore the dynamics of disordered systems in this comprehensive lecture focusing on equilibrium and gradient descent. Delve into key concepts such as glasses, Hamiltonian functions, metastable glasses, and the jamming transition. Examine unjammed states and flat regions before addressing questions on algorithms and non-natural applications. Investigate the crystal structure, optimization problems, constraint satisfaction problems, and supervised learning. Gain a deep understanding of the complex interplay between various elements in disordered systems and their implications for both theoretical physics and practical applications.