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Display information for equation id:math.2090.10 on revision:2090

* Page found: Magnetische Induktion (eq math.2090.10)

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TeX (original user input): 

\begin{align}
& \bar{j}(\bar{r}\acute{\ }){{d}^{3}}r\acute{\ }=\rho {{d}^{3}}r\acute{\ }\bar{v}\acute{\ }=\frac{d}{dt}\rho {{d}^{3}}r\acute{\ }d\bar{r}\acute{\ } \\
& \frac{d}{dt}\rho {{d}^{3}}r\acute{\ }=I\acute{\ } \\
& \Rightarrow \bar{j}(\bar{r}\acute{\ }){{d}^{3}}r\acute{\ }=I\acute{\ }d\bar{r}\acute{\ } \\
\end{align}

TeX (checked): 

{\begin{aligned}&{\bar {j}}({\bar {r}}{\acute {\ }}){{d}^{3}}r{\acute {\ }}=\rho {{d}^{3}}r{\acute {\ }}{\bar {v}}{\acute {\ }}={\frac {d}{dt}}\rho {{d}^{3}}r{\acute {\ }}d{\bar {r}}{\acute {\ }}\\&{\frac {d}{dt}}\rho {{d}^{3}}r{\acute {\ }}=I{\acute {\ }}\\&\Rightarrow {\bar {j}}({\bar {r}}{\acute {\ }}){{d}^{3}}r{\acute {\ }}=I{\acute {\ }}d{\bar {r}}{\acute {\ }}\\\end{aligned}}

LaTeXML (experimentell; verwendet MathML) rendering

MathML (30.586 KB / 3.24 KB) :

j ¯ ⁢ ( r ¯ ⁢ ´ ) ⁢ d 3 ⁢ r ⁢ ´ = ρ ⁢ d 3 ⁢ r ⁢ ´ ⁢ v ¯ ⁢ ´ = d d ⁢ t ⁢ ρ ⁢ d 3 ⁢ r ⁢ ´ ⁢ d ⁢ r ¯ ⁢ ´ d d ⁢ t ⁢ ρ ⁢ d 3 ⁢ r ⁢ ´ = I ⁢ ´ ⇒ j ¯ ⁢ ( r ¯ ⁢ ´ ) ⁢ d 3 ⁢ r ⁢ ´ = I ⁢ ´ ⁢ d ⁢ r ¯ ⁢ ´ missing-subexpression ¯ 𝑗 ¯ 𝑟 ´ absent superscript 𝑑 3 𝑟 ´ absent 𝜌 superscript 𝑑 3 𝑟 ´ absent ¯ 𝑣 ´ absent 𝑑 𝑑 𝑡 𝜌 superscript 𝑑 3 𝑟 ´ absent 𝑑 ¯ 𝑟 ´ absent missing-subexpression 𝑑 𝑑 𝑡 𝜌 superscript 𝑑 3 𝑟 ´ absent 𝐼 ´ absent missing-subexpression ⇒ absent ¯ 𝑗 ¯ 𝑟 ´ absent superscript 𝑑 3 𝑟 ´ absent 𝐼 ´ absent 𝑑 ¯ 𝑟 ´ absent {\displaystyle{\displaystyle\begin{aligned} &\displaystyle\bar{j}(\bar{r}% \acute{\ }){{d}^{3}}r\acute{\ }=\rho{{d}^{3}}r\acute{\ }\bar{v}\acute{\ }=% \frac{d}{dt}\rho{{d}^{3}}r\acute{\ }d\bar{r}\acute{\ }\\ &\displaystyle\frac{d}{dt}\rho{{d}^{3}}r\acute{\ }=I\acute{\ }\\ &\displaystyle\Rightarrow\bar{j}(\bar{r}\acute{\ }){{d}^{3}}r\acute{\ }=I% \acute{\ }d\bar{r}\acute{\ }\\ \end{aligned}}}

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MathML (4.062 KB / 445 B) :

j¯(r¯´)d3r´=ρd3r´v¯´=ddtρd3r´dr¯´ddtρd3r´=I´⇒j¯(r¯´)d3r´=I´dr¯´

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