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Tensors
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Glossary of tensor theory
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| Scope |
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Mathematics
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- coordinate system
- multilinear algebra
- Euclidean geometry
- differential geometry
- exterior calculus
- tensor calculus
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- continuum mechanics
- electromagnetism
- transport phenomena
- general relativity
- computer vision
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| Notation |
- index notation
- multi-index notation
- Einstein notation
- Ricci calculus
- Penrose graphical notation
- Voigt notation
- abstract index notation
- tetrad (index notation)
- Van der Waerden notation
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| Tensor definitions |
- tensor (intrinsic definition)
- tensor field
- tensor density
- tensors in curvilinear coordinates
- mixed tensor
- antisymmetric tensor
- symmetric tensor
- tensor bundle
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| Operations |
- tensor product
- wedge product
- tensor contraction
- transpose (2nd-order tensors)
- raising and lowering indices
- Hodge dual
- covariant derivative
- exterior derivative
- exterior covariant derivative
- Lie derivative
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| Related abstractions |
- dimension
- vector, vector space
- multivector
- covariance and contravariance of vectors
- linear transformation
- matrix
- spinor
- Cartan formalism (physics)
- differential form
- exterior form
- connection form
- geodesic
- manifold
- fiber bundle
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| Notable tensors |
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Mathematics
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- Kronecker delta
- Levi-Civita symbol
- metric tensor
- Christoffel symbols
- Ricci curvature
- Riemann curvature tensor
- Weyl tensor
- torsion tensor
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Physics
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- moment of inertia
- angular momentum tensor
- Cauchy stress tensor
- stress–energy tensor
- EM tensor
- gluon field strength tensor
- Einstein tensor
- metric (GR)
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| Mathematicians |
- Leonhard Euler
- Carl Friedrich Gauss
- Augustin-Louis Cauchy
- Hermann Grassmann
- Gregorio Ricci-Curbastro
- Tullio Levi-Civita
- Jan Arnoldus Schouten
- Bernhard Riemann
- Elwin Bruno Christoffel
- Woldemar Voigt
- Élie Cartan
- Hermann Weyl
- Albert Einstein
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