Mathematik
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(Difference between revisions)
(→komplexe Zahlen) |
(→komplexe Zahlen) |
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== komplexe Zahlen == | == komplexe Zahlen == | ||
+ | |||
+ | Normalform: | ||
{| | {| | ||
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|<math>y = \operatorname{Im}\, z</math> | |<math>y = \operatorname{Im}\, z</math> | ||
|} | |} | ||
- | |||
- | |||
<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> | ||
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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
Geometrie
komplexe Zahlen
Normalform:
:= | ||
Polarform:
|