411 REFERENCE · Wiktionary
Green's theorem
Reference material by Wiktionary contributors. This retains its source identity and is not 411 news reporting.
English
Etymology
Named after the mathematician George Green (mathematician) George Green.
Pronunciation
en LL-Q1860 (eng)-Flame, not lame-Green's theorem.wav US
Proper noun
en calculus A generalization of the fundamental theorem of calculus to the two-dimensional plane, which states that given two scalar fields P and Q and a simply connected region R, the area integral of derivatives of the fields equals the line integral of the fields, or
.
en calculus Letting be a vector field, and this can be restated as
where is the wedge product, or equivalently, as
,
with the earlier formula resembling Stokes' theorem, and the latter resembling the divergence theorem.
Translations
theorem
Asturian: ast teorema de Green m
Catalan: ca teorema de Green m
French: fr théorème de Green m
Galician: gl teorema de Green m
Italian: it teorema di Green m
Portuguese: pt teorema de Green m
Spanish: es teorema de Green m
en eponyms