Meanings
proper nounthe divergence theorem
- calculusA 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.
Translations
Bulgarian теорема на Гаус-Остроградски
- теорема на Гаус-Остроградски (teorema na Gaus-Ostrogradski)theorem
Catalan teorema de la divergència, teorema de Gauss
- teorema de la divergènciatheorem
- teorema de Gausstheorem
French théorème de flux-divergence, théorème de Gauss
- théorème de flux-divergencetheorem
- théorème de Gausstheorem
- théorème de la divergencetheorem
Italian teorema della divergenza, teorema di Gauss
- teorema della divergenzatheorem
- teorema di Gausstheorem
Portuguese teorema da divergência, teorema de Gauss
- teorema da divergênciatheorem
- teorema de Gausstheorem
- teorema do divergentetheorem
Spanish teorema de la divergencia, teorema de Gauss
- teorema de la divergenciatheorem
- teorema de Gausstheorem
Cite this entry
APA
divergence theorem. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/divergence%20theorem
MLA
“divergence theorem.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/divergence%20theorem. Accessed November 3, 2026.
Chicago
WatkinsX Dictionary, s.v. “divergence theorem,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/divergence%20theorem.
Source: divergence theorem on Wiktionary, CC BY-SA 4.0.