DLMF:1.4.E33 (Q112)

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DLMF:1.4.E33
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    Statements

    Defining formula
    𝒱 a , b ⁡ ( f ) = sup ⁡ ∑ j = 1 n | f ⁢ ( x j ) - f ⁢ ( x j - 1 ) | , variational-operator-on-interval 𝑎 𝑏 𝑓 supremum subscript superscript 𝑛 𝑗 1 𝑓 subscript 𝑥 𝑗 𝑓 subscript 𝑥 𝑗 1 {\displaystyle{\displaystyle\mathcal{V}_{a,b}\left(f\right)=\sup\sum^{n}_{j=1}% |f(x_{j})-f(x_{j-1})|,}}
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    DLMF id
    DLMF:1.4.E33
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    Symbols defined
    total variation
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    total variation
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