We propose a parametrized version of arity gap. The parametrized arity gap gap(f, l) of a function f : An → B measures the minimum decrease in the number of essential variables of f when l consecutive identifications of pairs of essential variables are performed. We determine gap(f, l) for an arbitrary function f and a nonnegative integer l. We also propose other variants of arity gap and discu...

Abstract The provision of mammary secretions in the form colostrum and mature milk for newborns is an essential survival function that has evolved over millennia mammalian species. Colostrum serves a vital neonates by providing nutrients energy growth as they transition from placental nutrition to oral ingestion more complex macromolecules, including lactose, proteins, triglycerides. also provi...

Very recently, Kuman et al. [P. Kumam, W. Sintunavarat, S. Sedghi, and N. Shobkolaei. Common Fixed Point of Two $R$-Weakly Commuting Mappings in $b$-Metric Spaces. Journal of Function Spaces, Volume 2015, Article ID 350840, 5 pages] obtained some interesting common fixed point results for two mappings satisfying generalized contractive condition in $b$-metric space without the assumption of the...

We study the transport properties of graphene nanoribbons of standardized 30 nm width and varying lengths. We find that the extent of the gap observed in transport as a function of Fermi energy in these ribbons the “transport gap” does not have a strong dependence on ribbon length, while the extent of the gap as a function of source-drain voltage the “source-drain gap” increases with increasing...

We introduce a novel framework of Prophet Inequalities for combinatorial valuation functions. For a (non-monotone) submodular objective function over an arbitrary matroid feasibility constraint, we give an O(1)-competitive algorithm. For a monotone subadditive objective function over an arbitrary downward-closed feasibility constraint, we give an O(log n log r)-competitive algorithm (where r is...