Formelsammlung Koordinatensysteme: Unterschied zwischen den Versionen
Aus GET A
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<math>\begin{align} | <math>\begin{align} | ||
− | \vec{\mathbf{e}}_x\times\vec{\mathbf{e}}_y &=\vec{\mathbf{e}}_z | + | \vec{\mathbf{e}}_x\times\vec{\mathbf{e}}_y &=\vec{\mathbf{e}}_z\\ |
− | \vec{\mathbf{e}}_y\times\vec{\mathbf{e}}_z &=\vec{\mathbf{e}}_x | + | \vec{\mathbf{e}}_y\times\vec{\mathbf{e}}_z &=\vec{\mathbf{e}}_x\\ |
\vec{\mathbf{e}}_z\times\vec{\mathbf{e}}_x &=\vec{\mathbf{e}}_y | \vec{\mathbf{e}}_z\times\vec{\mathbf{e}}_x &=\vec{\mathbf{e}}_y | ||
\end{align}</math> | \end{align}</math> | ||
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<math>\begin{align} | <math>\begin{align} | ||
− | \vec{\mathbf{e}}_{\rho}\times\vec{\mathbf{e}}_{\varphi} &=\vec{\mathbf{e}}_z | + | \vec{\mathbf{e}}_{\rho}\times\vec{\mathbf{e}}_{\varphi} &=\vec{\mathbf{e}}_z\\ |
− | \vec{\mathbf{e}}_{\varphi}\times\vec{\mathbf{e}}_z &=\vec{\mathbf{e}}_{\rho} | + | \vec{\mathbf{e}}_{\varphi}\times\vec{\mathbf{e}}_z &=\vec{\mathbf{e}}_{\rho}\\ |
\vec{\mathbf{e}}_z \times\vec{\mathbf{e}}_{\rho} &=\vec{\mathbf{e}}_{\varphi} | \vec{\mathbf{e}}_z \times\vec{\mathbf{e}}_{\rho} &=\vec{\mathbf{e}}_{\varphi} | ||
\end{align}</math> | \end{align}</math> | ||
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<math>\begin{align} | <math>\begin{align} | ||
− | \vec{\mathbf{e}}_r\times\vec{\mathbf{e}}_{\vartheta} &= \vec{\mathbf{e}}_{\varphi} | + | \vec{\mathbf{e}}_r\times\vec{\mathbf{e}}_{\vartheta} &= \vec{\mathbf{e}}_{\varphi}\\ |
− | \vec{\mathbf{e}}_{\vartheta}\times\vec{\mathbf{e}}_{\varphi} &= \vec{\mathbf{e}}_r | + | \vec{\mathbf{e}}_{\vartheta}\times\vec{\mathbf{e}}_{\varphi} &= \vec{\mathbf{e}}_r\\ |
\vec{\mathbf{e}}_{\varphi}\times\vec{\mathbf{e}}_r &= \vec{\mathbf{e}}_{\vartheta} | \vec{\mathbf{e}}_{\varphi}\times\vec{\mathbf{e}}_r &= \vec{\mathbf{e}}_{\vartheta} | ||
\end{align}</math> | \end{align}</math> |
Version vom 28. August 2012, 13:14 Uhr
Einheitsvektoren |
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Zusammenhang zu kartesischen Koordinaten |
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Umrechnungen |
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Ortsvektor |
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Betrag des Ortsvektors |
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vektorielles Wegelement |
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Volumenelement |
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vektorielles Flächenelement |
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