"divergence theorem" meaning in English

See divergence theorem in All languages combined, or Wiktionary

Proper name

Head templates: {{en-proper noun}} divergence theorem
  1. (calculus) 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. Related terms: fundamental theorem of calculus Translations (theorem): teorema de la diverxencia [masculine] (Asturian), teorema de Gauss [masculine] (Asturian), теорема на Гаус-Остроградски (teorema na Gaus-Ostrogradski) [feminine] (Bulgarian), teorema de la divergència [masculine] (Catalan), teorema de Gauss [masculine] (Catalan), théorème de flux-divergence [masculine] (French), théorème de Gauss [masculine] (French), théorème de la divergence [masculine] (French), teorema da diverxencia [masculine] (Galician), teorema della divergenza [masculine] (Italian), teorema di Gauss [masculine] (Italian), teorema da divergência [masculine] (Portuguese), teorema de Gauss [masculine] (Portuguese), teorema do divergente [masculine] (Portuguese), teorema de la divergencia [masculine] (Spanish), teorema de Gauss [masculine] (Spanish)
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            "feminine"
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      "tags": [
        "masculine"
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      "sense": "theorem",
      "tags": [
        "masculine"
      ],
      "word": "teorema de Gauss"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "theorem",
      "tags": [
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      "word": "théorème de flux-divergence"
    },
    {
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      "tags": [
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      "lang": "French",
      "sense": "theorem",
      "tags": [
        "masculine"
      ],
      "word": "théorème de la divergence"
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      "sense": "theorem",
      "tags": [
        "masculine"
      ],
      "word": "teorema da diverxencia"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "theorem",
      "tags": [
        "masculine"
      ],
      "word": "teorema della divergenza"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "theorem",
      "tags": [
        "masculine"
      ],
      "word": "teorema di Gauss"
    },
    {
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      "lang": "Portuguese",
      "sense": "theorem",
      "tags": [
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      "word": "teorema da divergência"
    },
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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-07-20 from the enwiktionary dump dated 2025-07-01 using wiktextract (45c4a21 and f1c2b61). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

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