DLMF:3.5.E15 (Q1253): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11167 / rank
 
Normal rank
Property / Symbols used: Q11167 / qualifier
 
Defining formula:

w 𝑤 {\displaystyle{\displaystyle w}}

w
Property / Symbols used: Q11167 / qualifier
 
xml-id: C3.S5.XMD5.m1dec
Property / Symbols used
 
Property / Symbols used: Q11168 / rank
 
Normal rank
Property / Symbols used: Q11168 / qualifier
 
Defining formula:

w k subscript 𝑤 𝑘 {\displaystyle{\displaystyle w_{k}}}

w_{k}
Property / Symbols used: Q11168 / qualifier
 
xml-id: C3.S5.XMD6.m1dec

Latest revision as of 17:50, 1 January 2020

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DLMF:3.5.E15
No description defined

    Statements

    Defining formula
    ∫ a b f ⁢ ( x ) ⁢ w ⁢ ( x ) ⁢ d x = ∑ k = 1 n w k ⁢ f ⁢ ( x k ) + E n ⁢ ( f ) , superscript subscript 𝑎 𝑏 𝑓 𝑥 𝑤 𝑥 𝑥 superscript subscript 𝑘 1 𝑛 subscript 𝑤 𝑘 𝑓 subscript 𝑥 𝑘 subscript 𝐸 𝑛 𝑓 {\displaystyle{\displaystyle\int_{a}^{b}f(x)w(x)\mathrm{d}x=\sum_{k=1}^{n}w_{k% }f(x_{k})+E_{n}(f),}}
    0 references
    DLMF id
    DLMF:3.5.E15
    0 references
    Symbols used
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1agdec
    0 references
    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3agdec
    0 references
    error term (locally)
    Defining formula
    E n ⁢ ( f ) subscript 𝐸 𝑛 𝑓 {\displaystyle{\displaystyle E_{n}(f)}}
    xml-id
    C3.S5.XMD2.m1cdec
    0 references
    Q11167
    Defining formula
    w 𝑤 {\displaystyle{\displaystyle w}}
    xml-id
    C3.S5.XMD5.m1dec
    0 references
    Q11168
    Defining formula
    w k subscript 𝑤 𝑘 {\displaystyle{\displaystyle w_{k}}}
    xml-id
    C3.S5.XMD6.m1dec
    0 references
     
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