Mathematik

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(komplexe Zahlen)
m (komplexe Zahlen)
Line 53: Line 53:
|-
|-
|<math>[E(\varphi)]^n = E(N\, \varphi)</math>
|<math>[E(\varphi)]^n = E(N\, \varphi)</math>
-
|<math>E(\varphi) = e^{\mathrm i\,\phi}</math>
+
|-
 +
|<math>E(\varphi) = e^{\mathrm i\varphi}</math>
 +
|<math>e^{2\pi\mathrm i} = 1</math>
|}
|}

Revision as of 12:35, 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

MathImage-Rechenregeln:

MathImage MathImage
MathImage MathImage
MathImage
MathImage MathImage

konjungierte komplexe Zahlen:

MathImage
MathImage MathImage
MathImage MathImage
MathImage MathImage MathImage
MathImage MathImage
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