Periodic, self-consistent DFT-GGA calculations are used to study the thermochemical properties of both surface and subsurface atomic hydrogen on a variety of pure metals and near-surface alloys (NSAs). For surface hydrogen on pure metals, calculated site preferences, adsorption geometries, vibrational frequencies, and binding energies are reported and are found to be in good agreement with avai...

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We prove two existence theorems for the integrodifferential equation of mixed type: x′(t) = f (t,x(t), t0k1(t,s)g(s,x(s))ds, ∫ a 0k2(t,s)h(s,x(s))ds), x(0) = x0, where in the first part of this paper f , g, h, x are functions with values in a Banach space E and integrals are taken in the sense of Henstock-Kurzweil (HK). In the second part f , g, h, x are weakly-weakly sequentially continuous fu...

let $r$ be a commutative ring. the purpose of this article is to introduce a new class of ideals of r called weakly irreducible ideals. this class could be a generalization of the families quasi-primary ideals and strongly irreducible ideals. the relationships between the notions primary, quasi-primary, weakly irreducible, strongly irreducible and irreducible ideals, in different rings, has bee...

H. Friedman obtained remarkable results about the longest finite sequence x over a finite alphabet such that for all i 6= j the word x[i..2i] is not a subsequence of x[j..2j]. In this note we consider what happens when “subsequence” is replaced by “subword”; we call such a sequence a “weakly selfavoiding word”. We prove that over an alphabet of size 1 or 2, there is an upper bound on the length...

Let S be a topological semigroup acting on a topological space X. We develop the theory of (weakly) almost periodic functions on X, with respect to S, and form the (weakly) almost periodic compactifications of X and S, with respect to each other. We then consider the notion of an action of Son a Banach space, and on its dual, and after defining S-invariant means for such a space, we give a...

A base-free, catalytic protocol for the dehydrogenative Si-N coupling of weakly nucleophilic N-H groups of heteroarenes or aryl-substituted amines with equimolar amounts of hydrosilanes is reported. Cooperative Si-H bond activation at a Ru-S bond generates a silicon electrophile that forms a Si-N bond prior to the N-H deprotonation by an intermediate Ru-H complex, only releasing H(2).

For any $h\in(1,2]$, we give an explicit construction of a compactly supported, uniformly continuous, and (weakly) divergence-free velocity field in $\mathbb{R}^2$ that weakly advects measure whose support is initially the origin but for positive times has Hausdorff dimension $h$. These velocities are continuous space-time locally Lipschitz except at one point satisfy conditions existence uniqu...