Mathematik

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(komplexe Zahlen)
(komplexe Zahlen)
Line 10: Line 10:
== komplexe Zahlen ==
== komplexe Zahlen ==
 +
 +
Normalform:
{|
{|
Line 19: Line 21:
|<math>y = \operatorname{Im}\, z</math>
|<math>y = \operatorname{Im}\, z</math>
|}
|}
-
 
-
Normalform:
 
<math>z_1 + z_2 = (x_1 + x_2) + \mathrm i(y_1 + y_2)</math>
<math>z_1 + z_2 = (x_1 + x_2) + \mathrm i(y_1 + y_2)</math>
Line 29: Line 29:
Polarform:
Polarform:
 +
{|
 +
|<math>z = |z| \cdot E(\varphi) = |z| \cdot(cos\varphi + \mathrm i\sin\varphi)</math>
 +
|<math>\varphi = arc(z)</math>
 +
|<math>\tan\varphi = \frac y x</math>
 +
 +
<math>z_1 + z_2 = </math>
 +
 +
<math>z_1 \cdot z_2 = </math>
[[category:Mathematik]]
[[category:Mathematik]]
[[category:remember]]
[[category:remember]]

Revision as of 12:04, 17 September 2008

Analysis

MathImage


Geometrie

MathImage


komplexe Zahlen

Normalform:

MathImage MathImage:=MathImage MathImage
MathImage MathImage

MathImage

MathImage


Polarform:

MathImage MathImage MathImage

MathImage

MathImage

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