DLMF:3.4.E21 (Q1225): 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
 
test:

∂ ⁡ 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.m4aadec

Revision as of 16:48, 1 January 2020

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DLMF:3.4.E21
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    Statements

    test
    ∂ ⁡ u 0 , 0 ∂ ⁡ x = 1 4 ⁢ h ⁢ ( u 1 , 1 - u - 1 , 1 + u 1 , - 1 - u - 1 , - 1 ) + O ⁡ ( h 2 ) . partial-derivative subscript 𝑢 0 0 𝑥 1 4 ℎ subscript 𝑢 1 1 subscript 𝑢 1 1 subscript 𝑢 1 1 subscript 𝑢 1 1 Big-O superscript ℎ 2 {\displaystyle{\displaystyle\frac{\partial u_{0,0}}{\partial x}=\frac{1}{4h}\,% (u_{1,1}-u_{-1,1}+u_{1,-1}-u_{-1,-1})+O\left(h^{2}\right).}}
    0 references
    DLMF id
    DLMF:3.4.E21
    0 references
    Symbols used
    order not exceeding
    test
    O ⁡ ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}}
    xml-id
    C2.S1.E3.m2aadec
    0 references
    partial derivative of $$f$$ with respect to $$x$$
    test
    ∂ ⁡ f ∂ ⁡ x partial-derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}}
    xml-id
    C1.S5.E3.m4aadec
    0 references
     
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