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Longer titles found: Antisymmetric tensor (view)

searching for Symmetric tensor 39 found (156 total)

Fracton (subdimensional particle) (6,180 words) [view diff] exact match in snippet view article

Fractons have been identified in various CSS codes as well as in symmetric tensor gauge theories. Gapped fracton models often feature a topological ground

Seismic moment (469 words) [view diff] exact match in snippet view article find links to article

described by a seismic moment tensor M i j {\displaystyle M_{ij}} (a symmetric tensor, but not necessarily a double couple tensor), the seismic moment is

Distortion (mathematics) (573 words) [view diff] exact match in snippet view article

of distortion because there are more than two principal axes of a symmetric tensor. The pointwise information is contained in the distortion tensor G

Adhémar Jean Claude Barré de Saint-Venant (618 words) [view diff] exact match in snippet view article find links to article

Saint-Venant's compatibility condition, the integrability conditions for a symmetric tensor field to be a strain. In 1843 he published the correct derivation of

Casimir element (3,662 words) [view diff] exact match in snippet view article find links to article

k}X_{i}\otimes X_{j}\otimes \cdots \otimes X_{k}} where m is the order of the symmetric tensor κ i j ⋯ k {\displaystyle \kappa ^{ij\cdots k}} and the X i {\displaystyle

Self-dual Palatini action (7,027 words) [view diff] exact match in snippet view article find links to article

Minkowski metric η I J {\displaystyle \eta ^{IJ}} . Now, given any anti-symmetric tensor T I J {\displaystyle T^{IJ}} , we define its dual as ∗ T I J = 1 2

Tensor representation (211 words) [view diff] exact match in snippet view article find links to article

Spaces of analytic functions on a complex cone as carriers for the symmetric tensor representations of SO(n). Journal of Mathematical Physics, 18(6), 1141–1148

Hooke's law (9,420 words) [view diff] exact match in snippet view article find links to article

coordinate-free decomposition of a symmetric tensor is to represent it as the sum of a constant tensor and a traceless symmetric tensor. Thus in index notation:

Mathisson–Papapetrou–Dixon equations (1,261 words) [view diff] exact match in snippet view article find links to article

reference point X μ {\displaystyle X^{\mu }} in the body, and the skew-symmetric tensor S μ ν {\displaystyle S^{\mu \nu }} is the angular momentum S μ ν =

Viscous stress tensor (2,567 words) [view diff] exact match in snippet view article find links to article

symmetric. As with any symmetric tensor, the viscous stress tensor ε can be expressed as the sum of a traceless symmetric tensor εs, and a scalar multiple

Killing vector field (4,721 words) [view diff] exact match in snippet view article find links to article

studying motions in a spacetime with symmetries. Given a conserved, symmetric tensor T a b {\displaystyle T^{ab}} , that is, one satisfying T a b = T b

Valentine Bargmann (1,026 words) [view diff] exact match in snippet view article find links to article

"Spaces of analytic functions on a complex cone as carriers for the symmetric tensor representations of SO(n)". J. Math. Phys. 18:1141-48. 1979: "Erinnerungen

Trace diagram (1,244 words) [view diff] exact match in snippet view article find links to article

correspond to the generalized Levi-Civita symbol (which is an anti-symmetric tensor related to the determinant). If a diagram has no output strands, its

Chandrasekhar potential energy tensor (797 words) [view diff] exact match in snippet view article find links to article

volume of the body It is evident that W i j {\displaystyle W_{ij}} is a symmetric tensor from its definition. The trace of the Chandrasekhar tensor W i j {\displaystyle

Non-relativistic gravitational fields (1,565 words) [view diff] exact match in snippet view article find links to article

potential, and finally σ i j {\displaystyle \sigma _{ij}} is a 3d symmetric tensor known as the spatial metric perturbation. The field redefinition is

Invariants of tensors (1,648 words) [view diff] exact match in snippet view article find links to article

{\displaystyle \mathbf {A} } . Even though the eigenvalues of a real non-symmetric tensor might be complex, the eigenvalues of its symmetric part will always

Wess–Zumino–Witten model (3,655 words) [view diff] exact match in snippet view article find links to article

Here ϵ i j k {\displaystyle \epsilon ^{ijk}} is the completely anti-symmetric tensor, and [ . , . ] {\displaystyle [.,.]} is the Lie bracket. The Wess–Zumino

Capelli's identity (6,217 words) [view diff] exact match in snippet view article find links to article

of homogeneous polynomials of degree k can be identified with the symmetric tensor power S k C n {\displaystyle S^{k}\mathbb {C} ^{n}} of the standard

Universal enveloping algebra (9,256 words) [view diff] exact match in snippet view article find links to article

defined as a filtration S m g {\displaystyle S_{m}{\mathfrak {g}}} of symmetric tensor products Sym m ⁡ g {\displaystyle \operatorname {Sym} ^{m}{\mathfrak

Strain-rate tensor (2,378 words) [view diff] exact match in snippet view article find links to article

represents a gradual isotropic expansion or contraction; and a traceless symmetric tensor which represents a gradual shearing deformation, with no change in

Compatibility (mechanics) (4,427 words) [view diff] exact match in snippet view article

{\displaystyle {\boldsymbol {C}}(\mathbf {X} )} be a positive definite symmetric tensor field defined on the reference configuration. Under what conditions

Complete homogeneous symmetric polynomial (3,167 words) [view diff] exact match in snippet view article find links to article

V → V with eigenvalues X1, X2, ..., Xn. Denote by Symk(V) its kth symmetric tensor power and MSym(k) the induced operator Symk(V) → Symk(V). Proposition:

Fick's laws of diffusion (7,222 words) [view diff] exact match in snippet view article find links to article

media, the diffusion coefficient depends on the direction. It is a symmetric tensor Dji = Dij. Fick's first law changes to J = − D ∇ φ , {\displaystyle

Elasticity tensor (3,399 words) [view diff] exact match in snippet view article find links to article

the notion of a totally symmetric tensor, which is invariant under the interchange of any two indices. A totally symmetric tensor S {\displaystyle \mathbf

Glossary of string theory (5,167 words) [view diff] exact match in snippet view article find links to article

dimension elfbein A frame in 11 dimensions energy–momentum tensor A symmetric tensor T (also called the stress-energy tensor) describing the variation of

Cross product (11,464 words) [view diff] exact match in snippet view article find links to article

2)} -tensor, which takes as input 2 vectors and gives as output skew-symmetric tensor of rank n − 2 – a binary product with rank n − 2 tensor values. One

Bell's theorem (9,986 words) [view diff] exact match in snippet view article find links to article

are bipartite quantum states that are invariant under unitaries of symmetric tensor-product form: ρ A B = ( U ⊗ U ) ρ A B ( U † ⊗ U † ) . {\displaystyle

Noether's theorem (10,847 words) [view diff] exact match in snippet view article find links to article

the T {\displaystyle T} obtained in this way may differ from the symmetric tensor used as the source term in general relativity; see Canonical stress–energy

Joos–Weinberg equation (2,216 words) [view diff] case mismatch in snippet view article find links to article

the Joos–Weinberg's 2(2j+1)–theory and Its Connection with the Skew-Symmetric Tensor Description". International Journal of Geometric Methods in Modern

Derivation of the Navier–Stokes equations (5,657 words) [view diff] exact match in snippet view article find links to article

conservation of any continuum that conserves mass. σ is a rank two symmetric tensor given by its covariant components. In orthogonal coordinates in three

Curvilinear coordinates (8,289 words) [view diff] exact match in snippet view article find links to article

q^{j}}}=g_{ij}(q^{i},q^{j})=\mathbf {b} _{i}\cdot \mathbf {b} _{j}} is a symmetric tensor called the fundamental (or metric) tensor of the Euclidean space in

Representation theory of the Lorentz group (19,750 words) [view diff] exact match in snippet view article find links to article

representation, a four-vector. A physical example of a (1,1) traceless symmetric tensor field is the traceless part of the energy–momentum tensor Tμν. Since

Hyperelastic material (6,925 words) [view diff] exact match in snippet view article find links to article

I_{3}}{\partial {\boldsymbol {C}}}}~.} The derivatives of the invariants of the symmetric tensor C {\displaystyle {\boldsymbol {C}}} are ∂ I 1 ∂ C = 1 ; ∂ I 2

Clebsch–Gordan coefficients for SU(3) (7,674 words) [view diff] exact match in snippet view article

operators (consisting of the 5 operators derived from the traceless symmetric tensor operator Âij and the three independent components of the angular momentum

Angular velocity tensor (2,523 words) [view diff] exact match in snippet view article find links to article

derivative of the angular displacement tensor, which is a second rank skew-symmetric tensor. This tensor Ω will have n(n−1)/2 independent components, which is

Timeline of category theory and related mathematics (273 words) [view diff] exact match in snippet view article find links to article

tensor categories, spherical categories, compact closed categories, symmetric tensor categories, modular categories, autonomous categories, categories with

Harmonic tensors (5,485 words) [view diff] exact match in snippet view article find links to article

fundamental questions of the theoretical physics . Four properties of symmetric tensor M i . . . k {\displaystyle \mathbf {M} _{i...k}} lead to the use of

Strain (mechanics) (2,760 words) [view diff] exact match in snippet view article

Symmetric tensor quantity of the strain caused by stress in matter

Alternatives to general relativity (13,764 words) [view diff] exact match in snippet view article find links to article

simplest plausible theory of gravity that can be based on just one symmetric tensor field (the metric tensor). Others include: Starobinsky (R+R^2) gravity