منابع مشابه
Combining additive representations on subsets into an overall representation
Many traditional conjoint representations of binary preferences are additively decomposable, or additive for short. An important generalization arises under rank-dependence, when additivity is restricted to cones with a fixed ranking of components from best to worst (comonotonicity), leading to configural weighting, rank-dependent utility, and rankand sign-dependent utility (prospect theory). T...
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chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...
15 صفحه اولOn an Additive Prime Divisor Function of Alladi and Erdős
This paper discusses the additive prime divisor function A(n) := ∑ pα||n αp which was introduced by Alladi and Erdős in 1977. It is shown that A(n) is uniformly distributed (mod q) for any fixed integer q > 1.
متن کامل1 0 Fe b 20 03 Every function is the representation function of an additive basis for the integers ∗
Let A be a set of integers. For every integer n, let rA,h(n) denote the number of representations of n in the form n = a1 + a2 + · · ·+ ah, where a1, a2, . . . , ah ∈ A and a1 ≤ a2 ≤ · · · ≤ ah. The function rA,h : Z → N0 ∪ {∞} is the representation function of order h for A. The set A is called an asymptotic basis of order h if r A,h(0) is finite, that is, if every integer with at most a finit...
متن کاملOn Generalized Additive Value-Function Decomposition
We consider the challenge of preference elicitation in systems that help users discover the most desirable item(s) within a given database. Past work on preference elicitation focused on structured models that provide a factored representation of users’ preferences. Such models require less information to construct and support efficient reasoning algorithms. This paper makes two substantial con...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2004
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2003.09.004