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Related lectures (32)
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Scalar Products in 2D and 3D Geometry
Explores the scalar product, vector lengths, angles, norms, and rotations in 2D and 3D spaces.
Spinorial Fields: Lorentz Group Representation
Covers the most general representation of Lorentz group on spinorial fields.
Geometric Transformations in R2 and R3: Visualizations and Rotations
Covers visualizations in orthonormal bases in R2, focusing on rotations and reflections.
Rotations: Kinetic Observations and Constraints
Explores empirical observations, kinetic energy, and constraints in rotations, including the generalization of forces and 3D rotations.
Analyse 1: Group Rotation and Basic Rules of Hygiene
Discusses group rotation, hygiene rules, and set operations in Autumn 2020.
3D Rotations and Quaternions
Covers 3D rotations, quaternions, and matrices of direction cosines, providing an elegant solution to the limitations of rotation matrices.
Equilibrium in 3D: System Isolation and Constraints
Covers the equilibrium conditions in 3D, system isolation, free-body diagrams, and constraints.
Space Identification: SO(3)
Explores the identification of the space SO(3) and the topology of SS-space of R₃(R).
Deformation of Straight Beams
Explores the deformation of straight beams, calculating deflections and rotations under different load cases.
Rotations and Symmetries
Covers the preservation of isometry by rotations and symmetries.