DLMF:30.13.E5 (Q8918): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: partial derivative of $$f$$ with respect to $$x$$ / rank
 
Normal rank
Property / Symbols used: partial derivative of $$f$$ with respect to $$x$$ / qualifier
 
Defining formula:

∂ ⁡ f ∂ ⁡ x partial-derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}}

\pderiv{\NVar{f}}{\NVar{x}}
Property / Symbols used: partial derivative of $$f$$ with respect to $$x$$ / qualifier
 
xml-id: C1.S5.E3.m4abdec

Revision as of 01:51, 2 January 2020

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DLMF:30.13.E5
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    Statements

    Defining formula
    h ϕ 2 = ( ∂ ⁡ x ∂ ⁡ ϕ ) 2 + ( ∂ ⁡ y ∂ ⁡ ϕ ) 2 + ( ∂ ⁡ z ∂ ⁡ ϕ ) 2 = c 2 ⁢ ( ξ 2 - 1 ) ⁢ ( 1 - η 2 ) . superscript subscript ℎ italic-ϕ 2 superscript partial-derivative 𝑥 italic-ϕ 2 superscript partial-derivative 𝑦 italic-ϕ 2 superscript partial-derivative 𝑧 italic-ϕ 2 superscript 𝑐 2 superscript 𝜉 2 1 1 superscript 𝜂 2 {\displaystyle{\displaystyle h_{\phi}^{2}=\left(\frac{\partial x}{\partial\phi% }\right)^{2}+\left(\frac{\partial y}{\partial\phi}\right)^{2}+\left(\frac{% \partial z}{\partial\phi}\right)^{2}=c^{2}(\xi^{2}-1)(1-\eta^{2}).}}
    0 references
    DLMF id
    DLMF:30.13.E5
    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
    0 references
     
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