Algorithm for numbering the partitions of n into m parts
β Scribed by B. M. Zlotnik
- Publisher
- Springer US
- Year
- 1976
- Tongue
- English
- Weight
- 250 KB
- Volume
- 12
- Category
- Article
- ISSN
- 1573-8337
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let Q(n) denote the number of partitions of an integer n into distinct parts. For positive integers j, the first author and B. Gordon proved that Q(n) is a multiple of 2 j for every non-negative integer n outside a set with density zero. Here we show that if i 0 (mod 2 j ), then In particular, Q(n)
Simple algorithms are presented to compute both the exact probability of M or more out of N independent input events given unequal probabilities and, when there is uncertainty in the input event probabilities, the associated variance in the M-out-of-N probability. The performance of the M-out-of-N p
## Abstract It has been long conjectured that the crossing number of __C~m~__βΓβ__C~n~__ is (__m__β2)__n__, for all __m__, __n__ such that __n__ββ₯β __m__ββ₯β 3. In this paper, it is shown that if __n__ββ₯β __m__(__m__β+β1) and __m__ββ₯β 3, then this conjecture holds. That is, the crossing number of __