Symmetry in the Plane

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Symmetries in Diffusion Equations

Explores symmetries in diffusion equations, showing how they simplify analysis and infer solution properties.

Symmetry in Materials Science

Explores symmetry in materials science, covering crystal elements, symmetry groups, crystal classes, and Bravais lattice system.

Rotations and Symmetries

Covers the preservation of isometry by rotations and symmetries.

Symmetry in Geometry

Explores symmetry in modern geometry, emphasizing reflections, rotations, and practical applications in computer-aided design.

Rotation Dynamics: Symmetry Axis

Explores rotation dynamics around a symmetry axis, covering angular momentum, center of mass theorem, and solid body movement.

Introduction to Isometries in Space

Covers isometries in space, reflections, rotations, axial reflections, and geometric constructions.

Symmetry in Modern Geometry

Covers symmetry in modern geometry, reflections, translations, rotations, compositions of isometries, fundamental theorems, configurations of lines and planes, and surface analysis.

Advanced Physics I

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

Moment of Inertia: Solid Rotation

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

Symmetries of Navier-Stokes Equations

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