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Lecture
2D Transformations: Linear Maps & Matrices
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Dynamics of Solid Bodies
Explores the dynamics of solid bodies, covering speed, acceleration, and rotation principles.
Base Change for Rotation: Example
Explores changing bases for rotations, orthogonal planes, and vector transformations under rotation.
Reflection and Rotation Composition
Explores reflection and rotation composition in analytical geometry, including finding centers and solving fixed point systems.
Equilibrium in 3D: System Isolation and Constraints
Covers the equilibrium conditions in 3D, system isolation, free-body diagrams, and constraints.
Equilibrium of Forces in 3D
Covers the principles of system equilibrium in 3D and the calculation of resultant forces and couples.
Translations and Homotheties
Covers translations, homotheties, and their analytical expressions, emphasizing stability by composition.
Geometric Transformations Compositions
Covers the composition of geometric transformations in 2D, focusing on rotations and reflections to achieve specific results.
Symmetries of Navier-Stokes Equations
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Computer Vision: Image Formation and Transformation
Provides an overview of image formation and transformation principles in computer vision.
Vector Transformation and Tense
Explores the transformation of vectors and tensors, including rotations and representations in quantum physics.