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2.3.E6
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Formula:692
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MaRDI QID
Q692
Label: 2.3.E6
Digital Library of Mathematical Functions ID
2.3.E6
π±
a
,
b
β‘
(
f
β’
(
t
)
)
=
β«
a
b
|
f
β²
β’
(
t
)
β’
d
t
|
;
variational-operator-on-interval
π
π
π
π‘
superscript
subscript
π
π
superscript
π
β²
π‘
π‘
{\displaystyle{\displaystyle\mathcal{V}_{a,b}\left(f(t)\right)=\int_{a}^{b}|f^% {\prime}(t)\mathrm{d}t|;}}
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
a
π
{\displaystyle{\displaystyle a}}
: left endpoint
b
π
{\displaystyle{\displaystyle b}}
: right endpoint
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