The Regularity of Optimal Irrigation Patterns
β Scribed by Jean-Michel Morel; Filippo Santambrogio
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Weight
- 607 KB
- Volume
- 195
- Category
- Article
- ISSN
- 0003-9527
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π SIMILAR VOLUMES
The problem of selecting the best pattern of pipe diameters of an irrigation network has long been given considerable attention by engineers when designing hydraulic works. The classical optimization techniques, which have been proposed until now, are the following: (1) the linear programming method
Consider the multiplicities e p 1 (n), e p 2 (n), . . . , e p k (n) in which the primes p 1 , p 2 , . . . , p k appear in the factorization of n!. We show that these multiplicities are jointly uniformly distributed modulo (m 1 , m 2 , . . . , m k ) for any fixed integers m 1 , m 2 , . . . , m k , th