Lösung 3.2:2c

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The magnitude <math>|z|</math> of a complex number <math>z</math> is equal to the number's distance from the origin. The condition <math>|z|=2</math> therefore says that <math>z</math>'s distance from the origin should be 2, i.e. the condition gives a circle of radius 2 and centre at the origin.
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The magnitude <math>|z|</math> of a complex number <math>z</math> is equal to the number's distance from the origin. The condition <math>|z|=2</math> therefore says that <math>z</math>'s distance from the origin should be <math>2</math>, i.e. the condition gives a circle of radius <math>2</math> and centre at the origin.
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[[Image:3_2_2_c_.gif|center]]
[[Image:3_2_2_c_.gif|center]]
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Version vom 09:40, 29. Okt. 2008

The magnitude \displaystyle |z| of a complex number \displaystyle z is equal to the number's distance from the origin. The condition \displaystyle |z|=2 therefore says that \displaystyle z's distance from the origin should be 2, i.e. the condition gives a circle of radius 2 and centre at the origin.