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Display information for equation id:math.242901.8 on revision:242901

* Page found: Flow (mathematics) (eq math.242901.8)

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Flow (mathematics) Eq: math.242901.8

Hash: fd195ddfb306644110212f6b57cc7944

TeX (original user input):

\varphi(\varphi(\boldsymbol{x}_0,t_0,t),s) = \varphi(\varphi^{t,t_0}(\boldsymbol{x}_0),t+t_0,s)
= (\varphi^{s,t+t_0}(\boldsymbol{x}_0),s+t+t_0) =\varphi(\boldsymbol{x}_0,t_0,s+t).

TeX (checked):

\varphi (\varphi ({\boldsymbol {x}}_{0},t_{0},t),s)=\varphi (\varphi ^{t,t_{0}}({\boldsymbol {x}}_{0}),t+t_{0},s)=(\varphi ^{s,t+t_{0}}({\boldsymbol {x}}_{0}),s+t+t_{0})=\varphi ({\boldsymbol {x}}_{0},t_{0},s+t).

LaTeXML (experimental; uses MathML) rendering

MathML (18.346 KB / 2.261 KB) :

{\displaystyle{\displaystyle\varphi(\varphi(\boldsymbol{x}_{0},t_{0},t),s)=% \varphi(\varphi^{t,t_{0}}(\boldsymbol{x}_{0}),t+t_{0},s)=(\varphi^{s,t+t_{0}}(% \boldsymbol{x}_{0}),s+t+t_{0})=\varphi(\boldsymbol{x}_{0},t_{0},s+t).}}

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    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle\varphi(\varphi(\boldsymbol{x}_{0},t_{0},t),s)=%
\varphi(\varphi^{t,t_{0}}(\boldsymbol{x}_{0}),t+t_{0},s)=(\varphi^{s,t+t_{0}}(%
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SVG (16.538 KB / 3.574 KB) :

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MathML (3.889 KB / 523 B) :

\varphi (\varphi ({\boldsymbol {x}}_{0},t_{0},t),s)=\varphi (\varphi ^{t,t_{0}}({\boldsymbol {x}}_{0}),t+t_{0},s)=(\varphi ^{s,t+t_{0}}({\boldsymbol {x}}_{0}),s+t+t_{0})=\varphi ({\boldsymbol {x}}_{0},t_{0},s+t).

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$\varphi$

$\varphi$

${\boldsymbol {x}}_{0}$

$t_{0}$

$t$

$s$

$\varphi$

$\varphi$

$t$

$t_{0}$

${\boldsymbol {x}}_{0}$

$t$

$t_{0}$

$s$

$\varphi$

$s$

$t$

$t_{0}$

${\boldsymbol {x}}_{0}$

$s$

$t$

$t_{0}$

$\varphi$

${\boldsymbol {x}}_{0}$

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$s$

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