Plane of rotation

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Rotations (2D): Definitions and Analytical Expressions

Covers the concept of 2D rotations and their analytical expressions.

Geometric Transformations Compositions

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

Symmetries in Mechanics and Wave Equations

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

Curl in 2D: Understanding Vector Field Rotation

Explores the concept of curl in 2D vector fields and its practical applications.

Advanced Physics I

Covers velocity, acceleration, dynamics, moments of inertia, and kinetic energy storage systems.

Symmetries of Navier-Stokes Equations

Explores the symmetries of Navier-Stokes equations in periodic boxes, including translations, transformations, rotations, and scaling.

Symmetry in Modern Space

Explores the fundamental theorem of isometries in space and the modern definition of symmetry, emphasizing the complexities of determining symmetries in 3D objects.

Moment of Inertia: Solid Rotation

Covers the concept of moment of inertia for solid rotation and its independence from movement and reference frame choice.

Rotation between Cartesian frames

Covers the rotation between Cartesian frames and their properties in SO(3) and Euler parameterization.

Symmetry Elements in Materials Science

Covers the fundamental concepts of symmetry elements in materials science.