scalar product of tensors

URNurn:iso:std:iso:80000:-2:ed-2:en:item:2-18.25

https://metanorma.github.io/isq-smart/math/part-2-18/t2-18.25
urn:iso:std:iso:80000:-2:ed-2:en:item:2-18.25

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-2:ed-2:en:item:2-18.25

IEC

urn:iec:std:iec:80000-2:2019:::item:2-18.25

Designations

ENscalar product of tensors

FRproduit scalaire de tenseurs

Symbol

T : S

Notation systems

AsciiMath

sf(bb(ii(T:S)))

LaTeX

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

Definition

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

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

scalar quantity +

$T : S = \sum_{i} \sum_{j} T_{i j} S_{i j}$

grandeur scalaire

$T : S = \sum_{i} \sum_{j} T_{i j} S_{i j}$

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

isq:t2-18.25

Property	Value
rdf:type	isq:MathConcept smart:TermEntry
dcterms:identifier	2-18.25
skosxl:prefLabel	"scalar product of tensors"@en
skosxl:altLabel	"sf(bb(ii(T:S)))"@en
skos:definition	scalar product of two tensors stem:[sf(bb(ii(T)))] and stem:[sf(bb(ii(S)))] of the second order
skos:note	scalar quantity + stem:[sf(bb(ii(T:S))) = sum_i sum_j T_(ij) S_(ij)]
smart:hasBindingnessType	bindingness-type:normative
dcterms:isPartOf	isq:part-2-18