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Symmetry in the Plane
Explores the modern definition of symmetry and its practical applications.
Symmetry: Noether Theorem
Explores the consequences of symmetry, focusing on the Noether Theorem and coordinated charges in Lie groups.
Principal Component Analysis: Dimensionality Reduction
Covers Principal Component Analysis for dimensionality reduction, exploring its applications, limitations, and importance of choosing the right components.
Data Compression: Shannon-Fano Algorithm
Explores the Shannon-Fano algorithm for efficient data compression and its applications in lossless and lossy compression techniques.
Symmetry in Modern Topology
Explores the concept of symmetry in various geometric transformations.
Global Conservation Laws
Explores the dynamical consequences of symmetry, emphasizing conservation laws and the role of Noether currents.
Symmetry in Modern Geometry
Delves into modern geometry, covering transformations, isometries, and symmetries.
Trusses, Frames & Machines
Covers the analysis of trusses, frames, and machines, focusing on strategies to solve rigid structures.
Symmetry and Group Theory: Exercise Set 3
Covers Exercise Set 3 on Symmetry and Group Theory, focusing on chiral molecules, point groups, conjugacy, and group properties.
Wigner Theorem; Translation Symmetry
Explores the Wigner theorem, translation symmetry, eigenstates, and wave functions in quantum physics.