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...|2017|p=581}} This fact follows from the symmetry of the stress and strain tensors, together with the requirement that the stress derives from an [[elastic en The most general linear relation between two second-rank tensors <math>\mathbf{T}, \mathbf{E}</math> is ...

== List of 3D inertia tensors == [[Category:Tensors]] ...

This article uses the [[classical treatment of tensors]] and [[Einstein summation convention]] throughout and the [[Minkowski metr Lorentz tensors of the following kinds may be used in this article to describe bodies or pa ...

* [[Invariants of tensors]] ...

{{tensors}} [[Category:Tensors in general relativity]] ...

=== Tensors === ...

====Combination of tensors==== ...ion matrix is a combination of the ''K''₁ and ''K''₂ tensors: ...

...sible to perform a geometric linearization of any one of the finite strain tensors used in finite strain theory, e.g. the ''[[Lagrangian finite strain tensor] ...tensors|general expression]] for the Lagrangian and Eulerian finite strain tensors we have ...

Using the vector definition, mass flux is also equal to:<ref>Vectors, Tensors, and the basic Equations of Fluid Mechanics, R. Aris, Dover Publications, 1 ...

Using these tensors, [[Maxwell's equations]] reduce to:<ref name="Griffiths, David J. 1998 557" ...amely that the laws of physics take on a simpler form when written using [[tensors]]. ...

...s of the two principal polarizations, corresponding to complex-conjugate ε tensors for lossless media, are called [[optical isomer]]s. ...

...omagnetic fields, these terms are often represented by complex numbers, or tensors. ...

...'''}} is a fourth-order tensor (that is, a linear map between second-order tensors) usually called the [[stiffness tensor]] or [[elasticity tensor]]. One may In a Cartesian coordinate system, the stress and strain tensors can be represented by 3&nbsp;×&nbsp;3 matrices ...

...ntzian manifold. To be classified as an electrovacuum solution, these two tensors are required to satisfy two following conditions ...

...ments the transfer-matrix method for multilayers with arbitrary dielectric tensors. It was especially created for plasmonic and magnetoplasmonic calculations. ...

...ymbol{p}</math> and the polarization tensor ''P''_`. Additional tensors composed of products of three or more spin matrices are needed only for the ...

...cal objects]] with exotic algebraic properties (e.g. [[spinors]] are not [[tensors]], so may need calculus for [[spinor field]]s), but these in theory can sti ...] or [[tensor calculus]]. The scalars (and hence the vectors, matrices and tensors) can be real or complex as both are [[field (algebra)|fields]] in the abstr ...

...y can be used.<ref>{{citation |title=Tomographic measurement of dielectric tensors at optical frequency |url=https://doi.org/10.1038/s41563-022-01202-8 }}</re ...

...esponses to electromagnetic fields, these properties can be represented by tensors, with time-dependence related to the material's ability to respond to rapid ...and contravariance of vectors|covariant and contravariant four-vectors and tensors]]. This can be done using the [[EM tensor]] '''F''', or the [[4-potential]] ...

...var|ω}}, are [[symmetric matrix|symmetric]] 3×3 matrices (symmetric rank-2 tensors) – this includes the common case where they are [[scalar (physics)|scalar]] ...tion of lossy and magneto-optic materials, and in general when the ε and μ tensors are neither symmetric nor Hermitian matrices, one can still obtain a genera ...