DLMF:3.8.E13 (Q1381): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11196 / rank
 
Normal rank
Property / Symbols used: Q11196 / qualifier
 
Defining formula:

α 𝛼 {\displaystyle{\displaystyle\alpha}}

\alpha
Property / Symbols used: Q11196 / qualifier
 
xml-id: C3.S8.XMD7.m1dec

Latest revision as of 17:56, 1 January 2020

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DLMF:3.8.E13
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    Statements

    Defining formula
    d z d α = - ∂ ⁡ f ∂ ⁡ α / ∂ ⁡ f ∂ ⁡ z . derivative 𝑧 𝛼 partial-derivative 𝑓 𝛼 partial-derivative 𝑓 𝑧 {\displaystyle{\displaystyle\frac{\mathrm{d}z}{\mathrm{d}\alpha}=-\ifrac{\frac% {\partial f}{\partial\alpha}}{\frac{\partial f}{\partial z}}.}}
    0 references
    DLMF id
    DLMF:3.8.E13
    0 references
    Symbols used
    derivative of $$f$$ with respect to $$x$$
    Defining formula
    d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}
    xml-id
    C1.S4.E4.m2adec
    0 references
    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
    0 references
    partial differential of $$x$$
    Defining formula
    ∂ ⁡ x 𝑥 {\displaystyle{\displaystyle\partial\NVar{x}}}
    xml-id
    C1.S5.E3.m2adec
    0 references
    Q11196
    Defining formula
    α 𝛼 {\displaystyle{\displaystyle\alpha}}
    xml-id
    C3.S8.XMD7.m1dec
    0 references
     
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