Lösung 3.2:2f
Aus Online Mathematik Brückenkurs 2
(Unterschied zwischen Versionen)
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- | { | + | In words, the inequality says that the distance |
- | < | + | <math>\left| z-i \right|</math> |
- | { | + | between |
+ | <math>z</math> | ||
+ | and | ||
+ | <math>i</math> | ||
+ | should be strictly greater than | ||
+ | <math>\text{2}</math> | ||
+ | and less than or equal to | ||
+ | <math>\text{3}</math>. This means that the inequality defines an annular set having an inner radius of | ||
+ | <math>\text{2}</math> | ||
+ | and outer radius of | ||
+ | <math>\text{3}</math>, with centre at | ||
+ | <math>i</math>. | ||
+ | |||
[[Image:3_2_2_f.gif|center]] | [[Image:3_2_2_f.gif|center]] | ||
+ | |||
+ | |||
+ | The inner dashed is not included in the set; on the other hand, the outer solid circle does. |
Version vom 14:50, 22. Okt. 2008
In words, the inequality says that the distance \displaystyle \left| z-i \right| between \displaystyle z and \displaystyle i should be strictly greater than \displaystyle \text{2} and less than or equal to \displaystyle \text{3}. This means that the inequality defines an annular set having an inner radius of \displaystyle \text{2} and outer radius of \displaystyle \text{3}, with centre at \displaystyle i.
The inner dashed is not included in the set; on the other hand, the outer solid circle does.