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Rodrigues' rotation formula
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Quantum Information: Rabi Oscillations
Explores Rabi oscillations in quantum information, focusing on spin dynamics and Hamiltonian evolution.
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Singular Value Decomposition: Applications and Theorems
Explores the applications and theorems of Singular Value Decomposition in linear algebra, including image processing, matrix rotation, and transition probabilities.
Mechanics of Kirchhoff Rods I
Covers the mechanics of slender structures, focusing on exact kinematics and equilibrium equations of rods.
Nonlinear Beam Theory
Covers stress-strain relations, constitutive relations, and buckling of a circular ring in nonlinear beam theory.
Quantum Physics I
Explores angular momentum, rotation theory, and spherical harmonics in 3D quantum systems.
Nonlinear beam theory
Covers strain-displacement relations, equilibrium equations, and energy functional in nonlinear beam theory with small strain and moderate rotation.
String Approximations: Sag Analysis
Explores different string models and their sag implications under various approximations.
Mechanics of Kirchhoff Rods I
Explores the mechanics of slender structures, including Kirchhoff's equilibrium equations of rods and the theory of finite strain and finite rotation.
Cylindrical and Spherical Coordinates, Rotations
Covers cylindrical and spherical coordinates, transformations between coordinate systems, and rotations in physics.