DLMF:1.9.E26 (Q301): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q10820 / rank
 
Normal rank
Property / Symbols used: Q10820 / qualifier
 
Defining formula:

v ⁢ ( x , y ) 𝑣 𝑥 𝑦 {\displaystyle{\displaystyle v(x,y)}}

v(x,y)
Property / Symbols used: Q10820 / qualifier
 
xml-id: C1.S9.XMD8.m1adec

Latest revision as of 16:07, 1 January 2020

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DLMF:1.9.E26
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    Statements

    Defining formula
    ∂ 2 ⁡ u ∂ ⁡ x 2 + ∂ 2 ⁡ u ∂ ⁡ y 2 = ∂ 2 ⁡ v ∂ ⁡ x 2 + ∂ 2 ⁡ v ∂ ⁡ y 2 = 0 , partial-derivative 𝑢 𝑥 2 partial-derivative 𝑢 𝑦 2 partial-derivative 𝑣 𝑥 2 partial-derivative 𝑣 𝑦 2 0 {\displaystyle{\displaystyle\frac{{\partial}^{2}u}{{\partial x}^{2}}+\frac{{% \partial}^{2}u}{{\partial y}^{2}}=\frac{{\partial}^{2}v}{{\partial x}^{2}}+% \frac{{\partial}^{2}v}{{\partial y}^{2}}=0,}}
    0 references
    DLMF id
    DLMF:1.9.E26
    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.m4aadec
    0 references
    partial differential of $$x$$
    Defining formula
    ∂ ⁡ x 𝑥 {\displaystyle{\displaystyle\partial\NVar{x}}}
    xml-id
    C1.S5.E3.m2aadec
    0 references
    Q10819
    Defining formula
    u ⁢ ( x , y ) 𝑢 𝑥 𝑦 {\displaystyle{\displaystyle u(x,y)}}
    xml-id
    C1.S9.XMD7.m1adec
    0 references
    Q10820
    Defining formula
    v ⁢ ( x , y ) 𝑣 𝑥 𝑦 {\displaystyle{\displaystyle v(x,y)}}
    xml-id
    C1.S9.XMD8.m1adec
    0 references
     
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