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Lecture
Geometric Transformations in R2 and R3
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Geometric Transformations Compositions
Covers the composition of geometric transformations in 2D, focusing on rotations and reflections to achieve specific results.
Isometries & Orientation: Modern Symmetry
Explores isometries, reflections, rotations, and translations in space, as well as the structure theorem and configurations of planes and lines.
Symmetry in Modern Geometry
Explores symmetry in modern geometry, focusing on isometries, reflections, rotations, and translations, emphasizing the importance of 180-degree rotations.
Symmetry in the Plane
Explores the modern definition of symmetry and its practical applications.
Symmetries of the Wave Equation
Explores the symmetries of the wave equation under Lorentz transformations and the Poincare group.
Spherical Tensors and Wigner-Eckart Theorem
Covers the transformation of vectors and tensors in quantum physics.
Rotations (2D): Definitions and Analytical Expressions
Covers the concept of 2D rotations and their analytical expressions.
Discrete Symmetries: Asymptotic States and S-matrix
Covers the concept of discrete symmetries, focusing on the introduction to asymptotic states and S-matrix.
Translations and Homotheties
Covers translations, homotheties, and their analytical expressions, emphasizing stability by composition.
Symmetry in Geometry
Explores symmetry in modern geometry, emphasizing reflections, rotations, and practical applications in computer-aided design.