Mathematik
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(Difference between revisions)
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|Potenz: | |Potenz: | ||
|<math>{z}^n = |z|^n E(n\, \varphi) = |z|^n (\cos\, n \varphi + \mathrm i\,\sin\, n \varphi)</math> | |<math>{z}^n = |z|^n E(n\, \varphi) = |z|^n (\cos\, n \varphi + \mathrm i\,\sin\, n \varphi)</math> | ||
| + | |} | ||
| + | |||
| + | '''<math>E(\varphi)</math>-Rechenregeln:''' | ||
| + | {| | ||
| + | |<math>E(\varphi+k\cdot2\phi) = E(\varphi)</math> | ||
| + | |<math>|E(\varphi)| = 1</math> | ||
| + | |- | ||
| + | |<math>E(\varphi_1)\cdot E(\varphi_2) = E(\varphi_1 + \varphi_2)</math> | ||
| + | |<math>E(\varphi)\cdot E(-\varphi) = 1</math> | ||
| + | |- | ||
| + | |<math>[E(\varphi)]^n = E(N\, \varphi)</math> | ||
| + | |<math>E(\varphi) = e^{\mathrm i\,\phi}</math> | ||
|} | |} | ||
Revision as of 12:34, 17 September 2008
Analysis
Geometrie
komplexe Zahlen
Normalform
| Summe | |
| Produkt |
Polarform:
| Produkt: | |
| Quotient: | |
| Potenz: |
-Rechenregeln:
konjungierte komplexe Zahlen:
