inner product of tensor and vector

URNurn:iso:std:iso:80000:-2:ed-2:en:item:2-18.24

https://metanorma.github.io/isq-smart/math/part-2-18/t2-18.24
urn:iso:std:iso:80000:-2:ed-2:en:item:2-18.24

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-2:ed-2:en:item:2-18.24

IEC

urn:iec:std:iec:80000-2:2019:::item:2-18.24

Designations

ENinner product of tensor and vector

FRproduit intérieur d'un tenseur et d'un vecteur

Symbol

T \cdot a

Notation systems

AsciiMath

sf(bb(ii(T)))* bb(ii(a))

LaTeX

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

Definition

inner product of a tensor $T$ of the second order and a vector $a$

produit intérieur d'un tenseur de deuxième ordre $T$ et d'un vecteur $a$

vector with coordinates

${(T \cdot a)}_{i} = \sum_{j} T_{i j} a_{j}$

vecteur de coordonnées

${(T \cdot a)}_{i} = \sum_{j} T_{i j} a_{j}$

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

isq:t2-18.24

Property	Value
rdf:type	isq:MathConcept smart:TermEntry
dcterms:identifier	2-18.24
skosxl:prefLabel	"inner product of tensor and vector"@en
skosxl:altLabel	"sf(bb(ii(T)))* bb(ii(a))"@en
skos:definition	inner product of a tensor stem:[sf(bb(ii(T)))] of the second order and a vector stem:[bb(ii(a))]
skos:note	vector with coordinates stem:[(sf(bb(ii(T)))* bb(ii(a)))_i = sum_j T_(ij) a_j]
smart:hasBindingnessType	bindingness-type:normative
dcterms:isPartOf	isq:part-2-18