DLMF:1.6.E21 (Q202)

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DLMF:1.6.E21
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    Statements

    Defining formula
    div 𝐅 = ∇ ⋅ 𝐅 = ∂ ⁡ F 1 ∂ ⁡ x + ∂ ⁡ F 2 ∂ ⁡ y + ∂ ⁡ F 3 ∂ ⁡ z . 𝐅 ⋅ ∇ 𝐅 partial-derivative subscript 𝐹 1 𝑥 partial-derivative subscript 𝐹 2 𝑦 partial-derivative subscript 𝐹 3 𝑧 {\displaystyle{\displaystyle\operatorname{div}\mathbf{F}=\nabla\cdot\mathbf{F}% =\frac{\partial F_{1}}{\partial x}+\frac{\partial F_{2}}{\partial y}+\frac{% \partial F_{3}}{\partial z}.}}
    0 references
    DLMF id
    DLMF:1.6.E21
    0 references
    Symbols used
    partial derivative of $$f$$ with respect to $$x$$
    Defining formula
    ∂ ⁡ f ∂ ⁡ x partial-derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}}
    xml-id
    C1.S5.E3.m4abdec
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    partial differential of $$x$$
    Defining formula
    ∂ ⁡ x 𝑥 {\displaystyle{\displaystyle\partial\NVar{x}}}
    xml-id
    C1.S5.E3.m2abdec
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    Q10760
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C1.S1.XMD1.m1bdec
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    Q10795
    Defining formula
    F j subscript 𝐹 𝑗 {\displaystyle{\displaystyle F_{j}}}
    xml-id
    C1.S6.XMD6.m1dec
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