Lösung 3.2:2f

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In words, the inequality says that the distance
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In words, the inequality says that the distance <math>|z-i|</math> between <math>z</math> and <math>i</math> should be strictly greater than 2 and less than or equal to 3. This means that the inequality defines an annular set having an inner radius of 2 and outer radius of 3, with centre at <math>i</math>.
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<math>\left| z-i \right|</math>
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between
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<math>z</math>
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and
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<math>i</math>
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should be strictly greater than
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<math>\text{2}</math>
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and less than or equal to
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<math>\text{3}</math>. This means that the inequality defines an annular set having an inner radius of
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<math>\text{2}</math>
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and outer radius of
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<math>\text{3}</math>, with centre at
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<math>i</math>.
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[[Image:3_2_2_f.gif|center]]
[[Image:3_2_2_f.gif|center]]
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The inner dashed circle is not included in the set; on the other hand, the outer solid circle does.
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The inner dashed is not included in the set; on the other hand, the outer solid circle does.
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Version vom 09:46, 29. Okt. 2008

In words, the inequality says that the distance \displaystyle |z-i| between \displaystyle z and \displaystyle i should be strictly greater than 2 and less than or equal to 3. This means that the inequality defines an annular set having an inner radius of 2 and outer radius of 3, with centre at \displaystyle i.

The inner dashed circle is not included in the set; on the other hand, the outer solid circle does.

Von „http://wiki.sommarmatte.se/wikis/2009/bridgecourse2-TU-Berlin/index.php/L%C3%B6sung_3.2:2f“