Geometric Transformations Compositions

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Related lectures (31)

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General Transformations

Covers rotations and general transformations in various dimensions with mathematical formulas and applications.

Rotations: Angular Momentum

Covers angular momentum in rotations, including preservation of angles and vector products.

Geometric Transformations in R2 and R3

Explores geometric transformations in R2 and R3, including reflections, rotations, and practical applications like billiards.

Symmetries in Mechanics and Wave Equations

Explores symmetries in Newtonian mechanics and wave equations, highlighting their significance in understanding physical laws.

Geometric Transformations: Rotations

Covers the analytical expression of rotations in different coordinate systems.

Product of 4 Plane Reflections: Normalization

Explores the normalization of the product of 4 plane reflections in space.

Laws of Transformation of Velocities and Accelerations

Covers the laws of transformation of speeds and accelerations, including the rotation of points and dynamic movement principles.

Geometry: Reflections and Transformations

Explores geometry transformations, emphasizing isometries, point reflections, rotations, and translations to illustrate fundamental geometric principles.

Geometry: Transformations and Isometries

Explores transformations and isometries in geometry, preserving properties through translations, rotations, and reflections.

Geometric Transformations in the Plane: Examples

Explores geometric transformations in the plane through rotation and reflection examples, emphasizing analytical formulas and characteristic elements.