Speakur

Word Pronunciation & Dictionary

divergence theorem

Word Rarity Rare

Frequency: Zipf frequency 3.06 in modern English

Syllables
di-ver-gence the-o-rem
IPA
29
Scrabble Score
17
Letters
5
Syllables
12
Unique Chars

Meaning

name

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.

Inflected Forms

the divergence theorem (canonical)

Phrases

fundamental theorem of calculus

Frequently Paired Words

fundamental theorem of calculus

Questions

What does divergence theorem mean?
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.

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