Formelsammlung Koordinatensysteme: Unterschied zwischen den Versionen
Aus GET A
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|style="background-color:#c9d7ec;text-align:center;"| | |style="background-color:#c9d7ec;text-align:center;"| | ||
[[Kartesische Koordinaten]] | [[Kartesische Koordinaten]] | ||
| − | |style="background-color:#dde6f3"| | + | |style="background-color:#dde6f3;text-align:center;"| |
[[Zylinderkoordinaten]] | [[Zylinderkoordinaten]] | ||
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|style="background-color:#c9d7ec;text-align:center;"| | |style="background-color:#c9d7ec;text-align:center;"| | ||
<math>\vec{\mathbf{e}}_x,\vec{\mathbf{e}}_y,\vec{\mathbf{e}}_z</math> | <math>\vec{\mathbf{e}}_x,\vec{\mathbf{e}}_y,\vec{\mathbf{e}}_z</math> | ||
| − | |style="background-color:#dde6f3"| | + | |style="background-color:#dde6f3;text-align:center;"| |
<math>\vec{\mathbf{e}}_{\rho},\vec{\mathbf{e}}_{\varphi},\vec{\mathbf{e}}_z</math> | <math>\vec{\mathbf{e}}_{\rho},\vec{\mathbf{e}}_{\varphi},\vec{\mathbf{e}}_z</math> | ||
|style="background-color:#c9d7ec;text-align:center;"| | |style="background-color:#c9d7ec;text-align:center;"| | ||
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| − | |style="background-color:#dde6f3"| | + | |style="background-color:#dde6f3;text-align:center;"| |
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| − | |style="background-color:#dde6f3"| | + | |style="background-color:#dde6f3;text-align:center;"| |
|style="background-color:#c9d7ec;text-align:center;"| | |style="background-color:#c9d7ec;text-align:center;"| | ||
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|style="background-color:#dde6f3"|Umrechnungen | |style="background-color:#dde6f3"|Umrechnungen | ||
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| − | |style="background-color:#dde6f3"| | + | |style="background-color:#dde6f3;text-align:center;"| |
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|style="background-color:#dde6f3"|Ortsvektor | |style="background-color:#dde6f3"|Ortsvektor | ||
|style="background-color:#c9d7ec;text-align:center;"| | |style="background-color:#c9d7ec;text-align:center;"| | ||
| − | |style="background-color:#dde6f3"| | + | |style="background-color:#dde6f3;text-align:center;"| |
|style="background-color:#c9d7ec;text-align:center;"| | |style="background-color:#c9d7ec;text-align:center;"| | ||
|- | |- | ||
|style="background-color:#dde6f3"|Betrag des Ortsvektors | |style="background-color:#dde6f3"|Betrag des Ortsvektors | ||
|style="background-color:#c9d7ec;text-align:center;"| | |style="background-color:#c9d7ec;text-align:center;"| | ||
| − | |style="background-color:#dde6f3"| | + | |style="background-color:#dde6f3;text-align:center;"| |
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|style="background-color:#dde6f3"| [[Wegelemente|vektorielles Wegelement]] | |style="background-color:#dde6f3"| [[Wegelemente|vektorielles Wegelement]] | ||
|style="background-color:#c9d7ec;text-align:center;"| | |style="background-color:#c9d7ec;text-align:center;"| | ||
| − | |style="background-color:#dde6f3"| | + | |style="background-color:#dde6f3;text-align:center;"| |
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|style="background-color:#dde6f3"| [[Volumenelemente| Volumenelement]] | |style="background-color:#dde6f3"| [[Volumenelemente| Volumenelement]] | ||
|style="background-color:#c9d7ec;text-align:center;"| | |style="background-color:#c9d7ec;text-align:center;"| | ||
| − | |style="background-color:#dde6f3"| | + | |style="background-color:#dde6f3;text-align:center;"| |
|style="background-color:#c9d7ec;text-align:center;"| | |style="background-color:#c9d7ec;text-align:center;"| | ||
|- | |- | ||
|style="background-color:#dde6f3"|[[Flächenelemente|vektorielles Flächenelement]] | |style="background-color:#dde6f3"|[[Flächenelemente|vektorielles Flächenelement]] | ||
|style="background-color:#c9d7ec;text-align:center;"| | |style="background-color:#c9d7ec;text-align:center;"| | ||
| − | |style="background-color:#dde6f3"| | + | |style="background-color:#dde6f3;text-align:center;"| |
|style="background-color:#c9d7ec;text-align:center;"| | |style="background-color:#c9d7ec;text-align:center;"| | ||
|} | |} | ||
Version vom 28. August 2012, 09:46 Uhr
| Einheitsvektoren |
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| Kreuzprodukt | |||
| Zusammenhang mit den kartesischen Koordinaten | |||
| Umrechnungen |
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| Ortsvektor | |||
| Betrag des Ortsvektors | |||
| vektorielles Wegelement | |||
| Volumenelement | |||
| vektorielles Flächenelement |
