Mathematik

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(konjungierte komplexe Zahlen)
(komplexe Zahlen)
Line 56: Line 56:
|-
|-
|<math>\bar{z^n} = (\bar z)^n</math>
|<math>\bar{z^n} = (\bar z)^n</math>
 +
|<math>\bar{(\bar z)} = z</math>
 +
|<math>z \cdot \bar z) = |z|^2</math>
 +
|-
 +
|<math>z + \bar z = 2 \cdot \operatorname Re(z)</math>
 +
|<math>z - \bar z = 2\mathrm i \cdot \operatorname Im(z)</math>
|}
|}

Revision as of 12:28, 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 MathImage MathImage
MathImage MathImage
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