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Rotations and reflections in two dimensions
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Related lectures (30)
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Translations: Isometries and Compositions
Explores translations as compositions of reflections and their properties in preserving orientation, including the special case of identity.
General Transformations
Covers rotations and general transformations in various dimensions with mathematical formulas and applications.
Lie Groups: SU(2) and SO(3)
Covers Lie groups, focusing on SU(2) and SO(3), discussing group structure and representations.
Travel Guidelines Administration
Covers EPFL travel guidelines administration, new agency transition, booking procedures, and communication strategies.
Solid Mechanics: Motion Analysis
Explores the analysis of motion in solid mechanics, covering velocity, acceleration, and kinematics of solid bodies.
Galois Coatings: Symmetrical and Faulty
Explores Galois coatings, focusing on symmetrical structures with three faults and their properties.
Initial Alignment: Methods and Strategies
Explains the methods and strategies for initial alignment in strapdown inertial navigation systems, including the use of direct observations and estimation techniques.
Symmetry Operations in Materials Science
Covers symmetry operations in materials science, including rotations and helical axes.
Group Theory: Basics
Covers the basics of group theory, including sets, applications, and examples like permutations and rotations.
Dihedral Group: Symmetries and Cosets
Explores the symmetries of a regular n-gon, normal subgroups, cosets, and Lagrange's theorem.