Translations
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Dictionary:Calculus of variations/22/en
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δ
S
=
∫
A
B
{
∂
L
∂
x
−
d
d
t
[
∂
L
∂
x
˙
]
}
δ
x
d
t
=
0
,
{\displaystyle \delta S=\int _{A}^{B}\left\{{\frac {\partial L}{\partial x}}-{\frac {d}{dt}}\left[{\frac {\partial L}{\partial {\dot {x}}}}\right]\right\}\delta x\;dt=0,}
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![{\displaystyle \delta S=\int _{A}^{B}\left\{{\frac {\partial L}{\partial x}}-{\frac {d}{dt}}\left[{\frac {\partial L}{\partial {\dot {x}}}}\right]\right\}\delta x\;dt=0,}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/87f8d4c94dc57e9d8978adee6253ce285ae9dd45)