divergence theorem en · PROPN
Meanings
- A three-dimensional generalization of the fundamental theorem of calculus, which states that given a solid region W bounded by a closed surface S oriented by a unit normal vector mathbf n, if a vector field mathbf F whose component functions have continuous first partial derivatives in W, then the flux of mathbf F through S is equal to the triple integral of the divergence of mathbf F over W, or ∬_S mathbf F· mathbf n,dS=∭_W∇· mathbf F,dV.
Forms
| Spelling | Features | Labels | Source |
|---|---|---|---|
| the divergence theorem | canonical | lexicographic |
Relateds
fundamental theorem of calculus
Translations (16)
bg теорема на Гаус-Остроградски (theorem) · ca teorema de la divergència (theorem) · pt teorema da divergência (theorem) · es teorema de la divergencia (theorem) · ast teorema de la diverxencia (theorem) · fr théorème de flux-divergence (theorem) · es teorema de Gauss (theorem) · it teorema della divergenza (theorem) · fr théorème de la divergence (theorem) · fr théorème de Gauss (theorem) · gl teorema da diverxencia (theorem) · pt teorema de Gauss (theorem) · pt teorema do divergente (theorem) · ast teorema de Gauss (theorem) · ca teorema de Gauss (theorem) · it teorema di Gauss (theorem)