DLMF:1.4.E33 (Q112): Difference between revisions

From DRMF
Jump to navigation Jump to search
← Older editNewer edit →
‎Changed an Item: Wikidata Toolkit example test statement addition
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q10775 / rank
 
Normal rank
Property / Symbols used: Q10775 / qualifier
 
Defining formula:

sup supremum {\displaystyle{\displaystyle\sup}}

\sup
Property / Symbols used: Q10775 / qualifier
 
xml-id: introduction.Sx4.p1.t1.r26.m2adec

Revision as of 15:52, 1 January 2020

No description defined
Language Label Description Also known as
English
DLMF:1.4.E33
No description defined

    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})|,}}
    0 references
    DLMF id
    DLMF:1.4.E33
    0 references
    Symbols defined
    total variation
    0 references
    total variation
    0 references
    Symbols used
    Q10775
    Defining formula
    sup supremum {\displaystyle{\displaystyle\sup}}
    xml-id
    introduction.Sx4.p1.t1.r26.m2adec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q112&oldid=22337"