Some Solved and Unsolved Remainder Equations
β Scribed by Sven Ove Hansson
- Publisher
- John Wiley and Sons
- Year
- 1995
- Tongue
- English
- Weight
- 379 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0044-3050
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
The remainder set AβB of a set of sentences A modulo a set of sentences B is the set of all maximal subsets of A not implying any element of B. A remainder equation is an expression containing remainder sets, such as {A} = BβX, in which at least one set is unknown. Solutions to some classes of remainder equations are reported, and some unsolved problems are listed.
π SIMILAR VOLUMES
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## Abstract The remainder equations were introduced by S. O. Hansson. In this paper, we will give an exhaustive characterization of the set of solutions for remainder equations. Moreover, solutions to some unsolved problems proposed by Hansson are reported.