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This lecture covers the concepts of neutron slowing down, elastic collision study, fractional energy loss, slowing down equations, lethargy, and Fermi age theory. It explains the behavior of neutrons with different energies, the importance of elastic collisions in neutron moderation, and the equations governing neutron energy loss. The lecture also delves into the concept of lethargy and the Fermi age theory, which describes the average distance traveled by a neutron before reaching thermal energy. The space-dependent slowing down of neutrons and the significance of Fermi age in describing neutron behavior are discussed.