divergence (Q1844)

vector differential operator measuring the source or sink at a given point

div
∇ ·
∇·
divergence operator
divergence of a vector
divergence of vector-valued function

Language	Label	Description	Also known as
English	divergence	vector differential operator measuring the source or sink at a given point	div ∇ · ∇· divergence operator divergence of a vector divergence of vector-valued function

Statements

instance of

vector operator

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differential operator

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Commons category

Divergence

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Unicode character

∇ ·

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defining formula

\nabla \cdot {\boldsymbol {a}}=\sum _{i}{\frac {\partial a_{i}}{\partial x_{i}}}

1 reference

stated in

ISO 80000-2:2019 Quantities and units — Part 2: Mathematics

section, verse, paragraph, or clause

2-18.15

described by source

ISO 80000-2:2019 Quantities and units — Part 2: Mathematics

section, verse, paragraph, or clause

2-18.15

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Armenian Soviet Encyclopedia, vol. 11

page(s)

611

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\nabla \cdot {\boldsymbol {a}}

symbol represents

divergence

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{\boldsymbol {a}}

symbol represents

vector

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a_{i}

symbol represents

vector coordinate

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x_{i}

symbol represents

Cartesian coordinate

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Commons gallery

Divergence

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schematic

Divergence (captions).svg
510 × 281; 46 KB

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Definition of divergence.svg
364 × 314; 37 KB

media legend

the divergence at a point 𝑥 is the limit of the ratio of the flux through the surface 𝑆ᵢ to the volume 𝑉ᵢ for any sequence of closed regions 𝑉₁, 𝑉₂, 𝑉₃, … enclosing 𝑥 that approaches zero volume (English)

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