Seien \(A, B \subset \mathbb{R}\) nicht leer dann gelten:
- \(\sup(A + B) = \sup(A) + \sup(B)\)
- \(\inf(A + B) = \inf(A) + \inf(B)\)
- {{c2:: \(\sup(A \cup B) = \max \{\sup(A), \sup(B)\}\)}}
- {{c2:: \(\inf(A \cup B) = \max \{\inf(A), \inf(B)\}\)}}
Note 1: ETH::2. Semester::Analysis
Deck: ETH::2. Semester::Analysis
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Seien \(A, B \subset \mathbb{R}\) nicht leer dann gelten:
- \(\sup(A + B) = \sup(A) + \sup(B)\)
- \(\inf(A + B) = \inf(A) + \inf(B)\)
- {{c2:: \(\sup(A \cup B) = \max \{\sup(A), \sup(B)\}\)}}
- {{c2:: \(\inf(A \cup B) = \max \{\inf(A), \inf(B)\}\)}}
Field-by-field Comparison
| Field | Before | After |
|---|---|---|
| Text | <div> Seien \(A, B \subset \mathbb{R}\) nicht leer dann gelten:</div><ul><li>{{c1:: \(\sup(A + B) = \sup(A) + \sup(B)\)}}</li><li>{{c1:: \(\inf(A + B) = \inf(A) + \inf(B)\)}}</li><li>{{c2:: \(\sup(A \cup B) = \max \{\sup(A), \sup(B)\}\)}}</li><li>{{c2:: \(\inf(A \cup B) = \max \{\inf(A), \inf(B)\}\)}}</li></ul> |