DLMF:3.5.E7 (Q1245): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
 
Property / Symbols used
 
Property / Symbols used: error term (locally) / rank
 
Normal rank
Property / Symbols used: error term (locally) / qualifier
 
Defining formula:

E n ⁢ ( f ) subscript 𝐸 𝑛 𝑓 {\displaystyle{\displaystyle E_{n}(f)}}

E_{n}(f)
Property / Symbols used: error term (locally) / qualifier
 
xml-id: C3.S5.XMD2.m1dec

Latest revision as of 17:50, 1 January 2020

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DLMF:3.5.E7
No description defined

    Statements

    Defining formula
    ∫ a b f ⁢ ( x ) ⁢ d x = 1 3 ⁢ h ⁢ ( f 0 + 4 ⁢ f 1 + 2 ⁢ f 2 + 4 ⁢ f 3 + 2 ⁢ f 4 + ⋯ + 4 ⁢ f n - 1 + f n ) + E n ⁢ ( f ) , superscript subscript 𝑎 𝑏 𝑓 𝑥 𝑥 1 3 ℎ subscript 𝑓 0 4 subscript 𝑓 1 2 subscript 𝑓 2 4 subscript 𝑓 3 2 subscript 𝑓 4 ⋯ 4 subscript 𝑓 𝑛 1 subscript 𝑓 𝑛 subscript 𝐸 𝑛 𝑓 {\displaystyle{\displaystyle\int_{a}^{b}f(x)\mathrm{d}x=\tfrac{1}{3}h(f_{0}+4f% _{1}+2f_{2}+4f_{3}+2f_{4}+\cdots+4f_{n-1}+f_{n})+E_{n}(f),}}
    0 references
    DLMF id
    DLMF:3.5.E7
    0 references
    Symbols used
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1addec
    0 references
    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3addec
    0 references
    error term (locally)
    Defining formula
    E n ⁢ ( f ) subscript 𝐸 𝑛 𝑓 {\displaystyle{\displaystyle E_{n}(f)}}
    xml-id
    C3.S5.XMD2.m1dec
    0 references
     
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