Rotation between Cartesian frames

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Physics 1: Harmonic Oscillator and Spherical Coordinates

Explores harmonic oscillators, pendulum movement, and spherical coordinates in physics.

Symmetries in Mechanics and Wave Equations

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

Rotations and Symmetries

Covers the preservation of isometry by rotations and symmetries.

Rotation: Attitude and Orientation

Covers attitude and orientation in rotations, including small angles and orthonormal properties.

Conformal Transformations: Part 1

Covers the topic of conformal transformations, including translations, dilations, rotations, and the conformal algebra.

Rotations in Mechanics

Explores rotations in solid mechanics, from two-dimensional to three-dimensional scenarios, emphasizing small angles and different coordinate systems.

Structural Analysis: Bar Elements

Covers stiffness matrices, system assembly, constraints, reactions, and displacements in structural analysis.

Geometric Transformations Compositions

Covers the composition of geometric transformations in 2D, focusing on rotations and reflections to achieve specific results.

Geometric Transformations in R2 and R3: Visualizations and Rotations

Covers visualizations in orthonormal bases in R2, focusing on rotations and reflections.

Coordinate Systems: Polar, Cylindrical, Spherical

Covers position, velocity, and acceleration in polar, cylindrical, and spherical coordinate systems.