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Symmetry in mathematics
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Symmetry and Group Theory
Introduces symmetry and group theory concepts in chemistry, including symmetry operations, molecular symmetry, and NMR spectra interpretation.
Flow Field Data Storage and Symmetry Operations
Covers the storage of flow field data, differential operators, equivariance vs invariance, and symmetries in ChannelFlow.
Matrix Symmetry Proof
Covers the proof of the symmetry of a matrix through exercises involving symmetric matrices.
DTFT Properties
Covers the properties of the Discrete-Time Fourier Transform, including linearity, shifts, time reversal, differentiation, convolution, conjugate symmetry, and Parseval's Relation.
Symmetry Elements in Materials Science
Covers the fundamental concepts of symmetry elements in materials science.
Continuous Symmetries; Parity Symmetry
Explores symmetry operations in quantum physics, including rotations and translations.
Symmetry Operations: Products and Groups
Covers the products of symmetry operations and properties of cyclic and Abelian groups.
Symmetry and Group Theory: Exercise Set 4
Explores symmetry operations, isomorphic representations, and three-dimensional group representations.
Discrete Symmetries: Asymptotic States and S-matrix
Covers the concept of discrete symmetries, focusing on the introduction to asymptotic states and S-matrix.
Matrix Powers and Inverse
Covers matrix powers, the inverse of a 2x2 matrix, and its application to linear systems of equations.