Earth Dynamics: Forces and Movements

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Conformal Field Theory: Hypergeometric Functions

Covers Conformal Field Theory exercises on Hypergeometric functions, including AdS coordinates transformation and Casimir equation.

Centroids and Distributed Forces

Discusses centroids, distributed forces, composite bodies, and uniformly distributed forces in various shapes.

Einstein's Equations: Relativistic Mechanics

Covers Einstein's equations in non-relativistic limit and the Schwarzschild metric.

Gateways to the Moon and Local Floer Homology

Explores the problem of a falling stone hitting the moon, focusing on gateways to the moon and local Floer homology.

Advanced Physics I

Explores the foundation faces of the solar system, general relativity, and electromagnetic forces.

Angular Momentum Theorem: Dynamics of Solid

Explores the angular momentum theorem and dynamics of solids with fixed axes, including the physical pendulum and vector components of angular momentum.

Inclined Plane Physics: Forces and Friction

Explores forces and friction on an inclined plane without friction, analyzing binding forces and system dynamics.

Gravity Equations

Covers the equations of gravity without matter, focusing on the curvature of space-time and the Noether theorem.

Force of Gravity and Mechanical Energy

Explores force of gravity, mechanical energy conservation, and kinetic energy concepts with practical examples.

Inviscid Instabilities: Rayleigh Criterion

Explores parallel flow instabilities, Rayleigh inflection point criterion, and normal mode decomposition in 3D Euler equations.