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A new approach to covering
- Source :
- Mathematika; December 1995, Vol. 42 Issue: 2 p251-263, 13p
- Publication Year :
- 1995
-
Abstract
- AbstractFor finite coverings in euclidean d-space Edwe introduce a parametric density function. Here the parameter controls the influence of the boundary of the covered region to the density. This definition gives a new approach to covering which is similar to the approach for packing in [BHW1], [BHW2]. In this way we obtain a unified theory for finite and infinite covering and generalize similar results, which were developed by various authors since 1950 for d=2, to all dimensions.
Details
- Language :
- English
- ISSN :
- 00255793 and 20417942
- Volume :
- 42
- Issue :
- 2
- Database :
- Supplemental Index
- Journal :
- Mathematika
- Publication Type :
- Periodical
- Accession number :
- ejs40724955
- Full Text :
- https://doi.org/10.1112/S0025579300014571