We present observations and problems connected with a weighted binary tree representation of integer partitions. 2002 Elsevier Science (USA)
Binary Partitions Revisited
✍ Scribed by Øystein J. Rødseth; James A. Sellers
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 97 KB
- Volume
- 98
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
✦ Synopsis
The restricted binary partition function b k (n) enumerates the number of ways to represent n as
We study the question of how large a power of 2 divides the difference b k (2 r+2 n) -b k -2 (2 r n) for fixed k \ 3, r \ 1, and all n \ 1.
📜 SIMILAR VOLUMES
## Abstract We give a new proof of the strong partition relation on __ω__~1~, assuming the axiom of determinacy, which uses only a general argument not involving the complete analysis of a measure on __ω__~1~. (© 2003 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
## SUMMARY The binary variable is one of the most common types of variables in the analysis of income‐related health inequalities. I argue that while the binary variable has some unusual properties, it shares many of the properties of the ratio–scale variable and hence lends itself to both relative
**A stunning first novel, set during the violent 1947 partition of India, about uprooted children and their journeys to safety** As India is rent into two nations, communal violence breaks out on both sides of the new border and streaming hordes of refugees flee from blood and chaos. At an overru