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

From DRMF
Jump to navigation Jump to search
Changed an Item: Add constraint
Changed an Item: Add constraint
 
(3 intermediate revisions by the same user not shown)
Property / Symbols used
 
Property / Symbols used: Q10771 / rank
 
Normal rank
Property / Symbols used: Q10771 / qualifier
 
Defining formula:

{\displaystyle{\displaystyle\int}}

\int
Property / Symbols used: Q10771 / qualifier
 
xml-id: C1.S4.SS4.m3addec
Property / Symbols used
 
Property / Symbols used: total variation / rank
 
Normal rank
Property / Symbols used: total variation / qualifier
 
Defining formula:

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
Property / Symbols used
 
Property / Symbols used: Q10947 / rank
 
Normal rank
Property / Symbols used: Q10947 / qualifier
 
Defining formula:

a 𝑎 {\displaystyle{\displaystyle a}}

a
Property / Symbols used: Q10947 / qualifier
 
xml-id: C2.S3.XMD4.m1bdec
Property / Symbols used
 
Property / Symbols used: Q10948 / rank
 
Normal rank
Property / Symbols used: Q10948 / qualifier
 
Defining formula:

b 𝑏 {\displaystyle{\displaystyle b}}

b
Property / Symbols used: Q10948 / qualifier
 
xml-id: C2.S3.XMD5.m1adec

Latest revision as of 16:50, 1 January 2020

No description defined
Language Label Description Also known as
English
DLMF:2.3.E6
No description defined

    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|;}}
    0 references
    DLMF:2.3.E6
    0 references
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1addec
    0 references
    {\displaystyle{\displaystyle\int}}
    C1.S4.SS4.m3addec
    0 references
    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
    a 𝑎 {\displaystyle{\displaystyle a}}
    C2.S3.XMD4.m1bdec
    0 references
    b 𝑏 {\displaystyle{\displaystyle b}}
    C2.S3.XMD5.m1adec
    0 references