Mathematik

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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>
 +
|}
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 +
'''konjungierte komplexe Zahlen''':
 +
 +
{|
 +
|<math>\bar z = \bar{x + \mathrm i y} = x - \mathrm i y</math>
 +
|-
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|<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>
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|-
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|<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>
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|-
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|<math>\bar{z^n} = (\bar z)^n</math>
|}
|}

Revision as of 12:25, 17 September 2008

Analysis

MathImage


Geometrie

MathImage


komplexe Zahlen

Normalform

MathImage MathImage:=MathImage
MathImage MathImage
Summe MathImage
Produkt MathImage

Polarform:

MathImage MathImage
MathImage MathImage
Produkt: MathImage
Quotient: MathImage
Potenz: MathImage

konjungierte komplexe Zahlen:

MathImage
MathImage MathImage
MathImage MathImage
MathImage
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