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Equilibrium in 3D: System Isolation and Constraints
Covers the equilibrium conditions in 3D, system isolation, free-body diagrams, and constraints.
A Conjecture of Erdös: Proof by Moreira, Richter and Robertson
Presents a short proof of a conjecture by Erdös, exploring related questions and detailed proof of the proposition.
Symmetry in Modern Geometry
Delves into modern geometry, covering transformations, isometries, and symmetries.
Dynamical Approaches to Spectral Theory of Operators
Explores ergodic theory, spectral operators, and almost periodic factors in dynamical systems and spectral theory.
Scaling & Renormalization in Statistical Mechanics
Explores scaling and renormalization in statistical mechanics, emphasizing critical points and invariant properties.
Advanced Physics I: Orders of Magnitude
Explores the triumph of determinism in modern mechanics and the methodology of scientific development, with practical exercises on estimating surgical mask usage and analyzing atomic bomb energy.
Isometries & Orientation in Modern Geometry
Explores true angle magnitude, reflections, isometries, and symmetries in modern geometry, with practical CAD applications.
Introduction to Quantum Chaos
Covers the introduction to Quantum Chaos, classical chaos, sensitivity to initial conditions, ergodicity, and Lyapunov exponents.
Linear Maps and the Duality Principle in Mathematics
Covers the duality principle in linear algebra and its implications in mathematics.
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