Tensors: A tensor is a concept from mathematical physics that can be thought of as a generalization of a vector. While tensors can be defined in a purely mathematical sense, they are most useful in connection with vectors in physics. [100%] 2023-12-12
Tensors in curvilinear coordinates: Curvilinear coordinates can be formulated in tensor calculus, with important applications in physics and engineering, particularly for describing transportation of physical quantities and deformation of matter in fluid mechanics and continuum mechanics. Elementary vector and tensor algebra in curvilinear coordinates ... [50%] 2023-08-24 [Coordinate systems] [Metric tensors]...
Harmonic tensors: In this article spherical functions are replaced by polynomials that have been well known in electrostatics since the time of Maxwell and associated with multipole moments. In physics, dipole and quadrupole moments typically appear because fundamental concepts of physics are ... (Physics) [70%] 2024-06-11 [Harmonic analysis] [Rotational symmetry]...
Harmonic tensors: In this article spherical functions are replaced by polynomials that have been well known in electrostatics since the time of Maxwell and associated with multipole moments. In physics, dipole and quadrupole moments typically appear because fundamental concepts of physics are ... (Mathematical objects more general than vectors) [70%] 2024-11-23 [Harmonic analysis] [Rotational symmetry]...
Symmetrization (of tensors): One of the operations in tensor algebra that constructs a symmetric tensor (relative to a group of indices) from a given tensor. Symmetrization always takes place over several upper or lower indices. (Of tensors) [57%] 2023-09-07
Invariants of tensors: In mathematics, in the fields of multilinear algebra and representation theory, the principal invariants of the second rank tensor \displaystyle{ \mathbf{A} }[/math] are the coefficients of the characteristic polynomial where \displaystyle{ \mathbf{I} }[/math] is the identity operator and ... [57%] 2023-01-25 [Tensors] [Invariant theory]...
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