spherical coordinate

URNurn:iso:std:iso:80000:-2:ed-2:en:item:2-17.3

https://metanorma.github.io/isq-smart/math/part-2-17/t2-17.3
urn:iso:std:iso:80000:-2:ed-2:en:item:2-17.3

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-2:ed-2:en:item:2-17.3

IEC

urn:iec:std:iec:80000-2:2019:::item:2-17.3

Designations

ENspherical coordinate

FRcoordonnée sphérique

Symbol

r, ϑ, φ

Notation systems

AsciiMath

r, vartheta, varphi

LaTeX

r , \vartheta , \varphi

Definition

$r = r e_{r}$ +

$d r = d r e_{r} + r d ϑ e_{ϑ} + r sin ϑ d φ e_{φ}$

$r = r e_{r}$ +

$d r = d r e_{r} + r d ϑ e_{ϑ} + r sin ϑ d φ e_{φ}$

$e_{r} (ϑ, φ), e_{ϑ} (ϑ, φ), e_{φ} (φ)$ form an orthonormal right-handed system.

See fig3.

$e_{r} (ϑ, φ), e_{ϑ} (ϑ, φ), e_{φ} (φ)$ forment un trièdre orthonormé direct.

Voir fig3.

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

isq:t2-17.3

Property	Value
rdf:type	isq:MathConcept smart:TermEntry
dcterms:identifier	2-17.3
skosxl:prefLabel	"spherical coordinate"@en
skosxl:altLabel	"r, vartheta, varphi"@en
skos:definition	stem:[bb(ii(r)) = r" "bb(ii(e))_r] + stem:["d"bb(ii(r)) = "d"r bb(ii(e))_r + r "d"vartheta bb(ii(e))_vartheta + r" sin "…
skos:note	stem:[bb(ii(e))_r(vartheta,varphi), bb(ii(e))_vartheta(vartheta, varphi), bb(ii(e))_varphi(varphi)] form an orthonormal …
smart:hasBindingnessType	bindingness-type:normative
dcterms:isPartOf	isq:part-2-17