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Helly's Selection Theorem
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Geliefert zwischen Mi., 28.01.2026 und Do., 29.01.2026
Details
In mathematics, Helly's selection theorem states that a sequence of functions that is locally of bounded total variation and uniformly bounded at a point has a convergent subsequence. In other words, it is a compactness theorem for the space BVloc. It is named for the Austrian mathematician Eduard Helly. The theorem has applications throughout mathematical analysis. In probability theory, the result implies compactness of a tight family of measures.In mathematical analysis, a function of bounded variation, also known as a BV function, is a real-valued function whose total variation is bounded (finite): the graph of a function having this property is well behaved in a precise sense. For a continuous function of a single variable, being of bounded variation means that the distance along the direction of the y-axis, neglecting the contribution of motion along x-axis, traveled by a point moving along the graph has a finite value.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786131111433
- Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
- Größe H4mm x B220mm x T150mm
- EAN 9786131111433
- Format Fachbuch
- Titel Helly's Selection Theorem
- Gewicht 128g
- Herausgeber Betascript Publishing
- Anzahl Seiten 84
- Genre Mathematik
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