inner product of tensors

URNurn:iso:std:iso:80000:-2:ed-2:en:item:2-18.23

https://metanorma.github.io/isq-smart/math/part-2-18/t2-18.23
urn:iso:std:iso:80000:-2:ed-2:en:item:2-18.23

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-2:ed-2:en:item:2-18.23

IEC

urn:iec:std:iec:80000-2:2019:::item:2-18.23

Designations

ENinner product of tensors

FRproduit intérieur de tenseurs

Symbol

T \cdot S

Notation systems

AsciiMath

sf(bb(ii(T))) * sf(bb(ii(S)))

LaTeX

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

Definition

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

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

tensor of the second order with coordinates

${(T \cdot S)}_{i k} = \sum_{j} T_{i j} S_{j k}$

tenseur du deuxième ordre de coordonnées

${(T \cdot S)}_{i k} = \sum_{j} T_{i j} S_{j k}$

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

isq:t2-18.23

Property	Value
rdf:type	isq:MathConcept smart:TermEntry
dcterms:identifier	2-18.23
skosxl:prefLabel	"inner product of tensors"@en
skosxl:altLabel	"sf(bb(ii(T))) * sf(bb(ii(S)))"@en
skos:definition	inner product of two tensors stem:[sf(bb(ii(T)))] and stem:[sf(bb(ii(S)))] of the second order
skos:note	tensor of the second order with coordinates stem:[(sf(bb(ii(T)))* sf(bb(ii(S))))_(ik) = sum_j T_(ij) S_(jk)]
smart:hasBindingnessType	bindingness-type:normative
dcterms:isPartOf	isq:part-2-18