DLMF:12.17.E2 (Q4283)

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DLMF:12.17.E2
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    Statements

    Defining formula
    ∇ 2 = ∂ 2 ∂ ⁡ x 2 + ∂ 2 ∂ ⁡ y 2 + ∂ 2 ∂ ⁡ z 2 superscript ∇ 2 partial-derivative 𝑥 2 partial-derivative 𝑦 2 partial-derivative 𝑧 2 {\displaystyle{\displaystyle\nabla^{2}=\frac{{\partial}^{2}}{{\partial x}^{2}}% +\frac{{\partial}^{2}}{{\partial y}^{2}}+\frac{{\partial}^{2}}{{\partial z}^{2% }}}}
    0 references
    DLMF id
    DLMF:12.17.E2
    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.m4adec
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    partial differential of $$x$$
    Defining formula
    ∂ ⁡ x 𝑥 {\displaystyle{\displaystyle\partial\NVar{x}}}
    xml-id
    C1.S5.E3.m2adec
    0 references
    Q11520
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C12.S1.XMD1.m1dec
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    Q11542
    Defining formula
    y 𝑦 {\displaystyle{\displaystyle y}}
    xml-id
    C12.S1.XMD2.m1dec
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    Q11513
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C12.S1.XMD3.m1dec
    0 references
     
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