DLMF:2.3.E6 (Q722): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: total variation / rank
 
Normal rank
Property / Symbols used: total variation / qualifier
 
test:

𝒱 a , b ( f ) variational-operator-on-interval 𝑎 𝑏 𝑓 {\displaystyle{\displaystyle\mathcal{V}_{\NVar{a,b}}\left(\NVar{f}\right)}}

\variation[\NVar{a,b}]@{\NVar{f}}
Property / Symbols used: total variation / qualifier
 
xml-id: C1.S4.E33.m2adec

Revision as of 15:50, 1 January 2020

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DLMF:2.3.E6
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    Statements

    𝒱 a , b ( f ( t ) ) = a b | f ( t ) d t | ; variational-operator-on-interval 𝑎 𝑏 𝑓 𝑡 superscript subscript 𝑎 𝑏 superscript 𝑓 𝑡 𝑡 {\displaystyle{\displaystyle\mathcal{V}_{a,b}\left(f(t)\right)=\int_{a}^{b}|f^% {\prime}(t)\mathrm{d}t|;}}
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    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1addec
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    {\displaystyle{\displaystyle\int}}
    C1.S4.SS4.m3addec
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    𝒱 a , b ( f ) variational-operator-on-interval 𝑎 𝑏 𝑓 {\displaystyle{\displaystyle\mathcal{V}_{\NVar{a,b}}\left(\NVar{f}\right)}}
    C1.S4.E33.m2adec
    0 references