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Raising and lowering indices
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Tensors and Lorentz Transformations
Covers tensors, Lorentz transformations, and electrodynamics in relativistic notation.
Mathematical Basics: Index Notation and Tensors
Covers index notation basics and introduces tensors and their transformations.
Discrete Variables: Spatial Arrangement and Neighbourhood
Covers geometric properties, spatial arrangement, autocorrelation, and neighbourhood analysis in geographic information systems.
Tensors & Indices Recap
Covers the basics of tensors and indices, including contravariant vectors and tensor operations.
Indicial Notation and Tensor Components
Covers the manipulation of indicial notation and tensor components, focusing on concepts such as indical notation, free indices, contraction, and the dot product.
Cauchy Equations and Integral Decomposition
Covers the application of Cauchy equations and integral decomposition, addressing questions related to holomorphic functions and Jacobian matrices.
Algebraic Manipulations: Indices and Tensors in Continuum Mechanics
Provides an overview of algebraic manipulations involving indices and tensors in continuum mechanics.
Symmetries in Mechanics and Wave Equations
Explores symmetries in Newtonian mechanics and wave equations, highlighting their significance in understanding physical laws.
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