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Digital Library of Mathematical Functions ID
1.4.E34
π±
a
,
b
β‘
(
f
)
=
β«
a
b
|
f
β²
β’
(
x
)
β’
d
x
|
,
variational-operator-on-interval
π
π
π
subscript
superscript
π
π
superscript
π
β²
π₯
π₯
{\displaystyle{\displaystyle\mathcal{V}_{a,b}\left(f\right)=\int^{b}_{a}|f^{% \prime}(x)\mathrm{d}x|,}}
Constraint(s)
Symbols List
d
x
π₯
{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
: differential of x
β«
{\displaystyle{\displaystyle\int}}
: integral
π±
a
,
b
β‘
(
f
)
variational-operator-on-interval
π
π
π
{\displaystyle{\displaystyle\mathcal{V}_{\NVar{a,b}}\left(\NVar{f}\right)}}
: total variation
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