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3.3.E7 - MaRDI portal

3.3.E7 (Q1083)

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3.3.E7
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    Statements

    DLMF defining formula
    f t = f ⁢ ( x 0 + t ⁢ h ) = ∑ k = n 0 n 1 A k n ⁢ f k + R n , t , subscript 𝑓 𝑡 𝑓 subscript 𝑥 0 𝑡 ℎ superscript subscript 𝑘 subscript 𝑛 0 subscript 𝑛 1 superscript subscript 𝐴 𝑘 𝑛 subscript 𝑓 𝑘 subscript 𝑅 𝑛 𝑡 {\displaystyle{\displaystyle f_{t}=f(x_{0}+th)=\sum_{k=n_{0}}^{n_{1}}A_{k}^{n}% f_{k}+R_{n,t},}}
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    comment
    Warning: Falling back to standard tex;
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    constraint
    n 0 < t < n 1 subscript 𝑛 0 𝑡 subscript 𝑛 1 {\displaystyle{\displaystyle n_{0}<t<n_{1}}}
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    Symbols used
    remainder (locally)
    DLMF defining formula
    R n , t ⁢ ( x ) subscript 𝑅 𝑛 𝑡 𝑥 {\displaystyle{\displaystyle R_{n,t}(x)}}
    xml-id
    C3.S3.XMD10.m1dec
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    function
    DLMF defining formula
    f ⁢ ( z ) 𝑓 𝑧 {\displaystyle{\displaystyle f(z)}}
    xml-id
    C3.S3.XMD8.m1dec
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    Lagrangian interpolation coefficients (locally)
    DLMF defining formula
    A k n superscript subscript 𝐴 𝑘 𝑛 {\displaystyle{\displaystyle A_{k}^{n}}}
    xml-id
    C3.S3.XMD9.m1dec
    0 references

    Identifiers

     
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