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Green's theorem

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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