Spectral Theorem: SecondCovers the spectral theorem, focusing on the second part and orthonormal sequences in a separable Hilbert space.
Quantum EntanglementExplores quantum entanglement, Bell inequalities, and self-testing in quantum systems.
Normed SpacesCovers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.
Cyclic Subspace DecompositionExplores minimal annihilating polynomials and cyclic invariant subspaces, showcasing their practical applications through matrix computations.
Space Trusses & FramesCovers space trusses, frames, and machines, emphasizing equilibrium analysis and structural design principles.