Keywords: Monotone measure Atom Weak null-additivity Regularity Sugeno integral Choquet integral a b s t r a c t In this paper, we prove some properties of atoms of weakly null-additive monotone measures. By using the regularity and weak null-additivity, a sin-gleton characterization of atoms of monotone measures on a metric space is shown. It is a generalization of previous results obtained by...

We study a general allocation setting where agent valuations are concave additive. In this model, collection of items must be uniquely distributed among set agents, each agent-item pair has specified utility. The objective is to maximize the sum valuations, which an arbitrary non-decreasing function agent's total additive This was studied by Devanur and Jain (STOC 2012) in online for divisible ...

to estimate combining ability and the model of gene action for some quantitative characters, 5 different rice genotypes were used for producing a half diallel hybrids. to consider 7 quantitative traits, hybrids and their corresponding parents were evaluated based on a randomized complete block design with three replications at the rice research station of amol, iran in 2007. mean squares regard...

Quality Protein Maize (QPM) has about twice the amount of lysine and tryptophan of normal maize and hence represents an important tool of correcting its deficiency in protein quality. However, the effects of low nitrogen and drought on genetic parameters such as gene action and combining abilities of protein quantity and quality of QPM are not known. To study how these genetic parameters are af...

It is shown that an even partition A∪B of the set R = {1, 2, . . . , p− 1} of positive residues modulo an odd prime p is the partition into quadratic residues and quadratic non-residues if and only if the elements of A and B satisfy certain additive properties, thus providing a purely additive characterization of the set of quadratic residues. 1 Additive properties of quadratic residues An inte...

Abstract Let $k\geq 2$ be an integer. We prove that the 2-automatic sequence of odious numbers $\mathcal {O}$ is a k -additive uniqueness set for multiplicative functions: if function f satisfies multivariate Cauchy’s functional equation $f(x_1+x_2+\cdots +x_k)=f(x_1)+f(x_2)+\cdots +f(x_k)$ arbitrary $x_1,\ldots ,x_k\in \mathcal , then identity $f(n)=n$ all $n\in \mathbb {N}$ .