Mathematik
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(Difference between revisions)
m (→komplexe Zahlen) |
(konjungierte komplexe Zahlen) |
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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> | ||
| + | |} | ||
| + | |||
| + | '''konjungierte komplexe Zahlen''': | ||
| + | |||
| + | {| | ||
| + | |<math>\bar z = \bar{x + \mathrm i y} = x - \mathrm i y</math> | ||
| + | |- | ||
| + | |<math>\bar{z_1+z_2} = \bar{z_1} + \bar{z_2}</math> | ||
| + | |<math>\bar{z_1-z_2} = \bar{z_1} - \bar{z_2}</math> | ||
| + | |- | ||
| + | |<math>\bar{z_1 \cdot z_2} = \bar{z_1} \cdot \bar{z_2}</math> | ||
| + | |<math>\bar{\frac{z_1}{z_2}} = \frac{\bar{z_1}}{\bar{z_2}}</math> | ||
| + | |- | ||
| + | |<math>\bar{z^n} = (\bar z)^n</math> | ||
|} | |} | ||
Revision as of 12:25, 17 September 2008
Analysis
Geometrie
komplexe Zahlen
Normalform
| Summe | |
| Produkt |
Polarform:
| Produkt: | |
| Quotient: | |
| Potenz: |
konjungierte komplexe Zahlen:
