tensor product of tensors

URNurn:iso:std:iso:80000:-2:ed-2:en:item:2-18.22

https://metanorma.github.io/isq-smart/math/part-2-18/t2-18.22
urn:iso:std:iso:80000:-2:ed-2:en:item:2-18.22

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-2:ed-2:en:item:2-18.22

IEC

urn:iec:std:iec:80000-2:2019:::item:2-18.22

Designations

ENtensor product of tensors

FRproduit tensoriel de tenseurs

Symbol

T \otimes S

Notation systems

AsciiMath

sf(bb(ii(T))) ox sf(bb(ii(S)))

LaTeX

\mathsf{\mathbf{\mathit{T}}} \otimes \mathsf{\mathbf{\mathit{S}}}

Definition

tensor product of two tensors $T$ and $S$ of the second order

produit tensoriel de deux tenseurs du deuxième ordre $T$ et $S$

tensor of the fourth order with coordinates

${(T \otimes S)}_{i j k l} = T_{i j} S_{k l}$

tenseur du quatrième ordre de coordonnées

${(T \otimes S)}_{i j k l} = T_{i j} S_{k l}$

A mathematical concept as defined in ISO/IEC 80000 Part 2.

isq:t2-18.22

Property	Value
rdf:type	isq:MathConcept smart:TermEntry
dcterms:identifier	2-18.22
skosxl:prefLabel	"tensor product of tensors"@en
skosxl:altLabel	"sf(bb(ii(T))) ox sf(bb(ii(S)))"@en
skos:definition	tensor product of two tensors stem:[sf(bb(ii(T)))] and stem:[sf(bb(ii(S)))] of the second order
skos:note	tensor of the fourth order with coordinates stem:[(sf(bb(ii(T))) ox sf(bb(ii(S))))_(ijkl) = T_(ij) S_(kl)]
smart:hasBindingnessType	bindingness-type:normative
dcterms:isPartOf	isq:part-2-18