Recent results obtained in gas phase photoemission studies are presented this article with particular emphasis on recoil, Double Core Hole and Post Collision Interaction. These three important effects not specific to the could have more general applications condensed matter studies.

In this paper, we consider the following fractional equation with a gradient term su(x) = f(x, u(x), ?u(x)), in bounded domain and upper half space. Firstly, prove monotonicity uniqueness of solutions to by sliding method. order obtain maximum principle on unbounded domain, need estimate singular integrals define Laplacians along sequence approximate points using generalized average inequality....

normal 0 false false false en-us x-none ar-sa background: assessing educational environment is vital in determining the success or failure of any institute. a positive environment leads to achievements of students in learning while a negative one would hinder their accomplishments. the aim of this study was to evaluate the medical students’ perceptions of their educational environment and to id...

1 (a) Claim: R[X, Y ] is not a Euclidean domain. Proof: If R[X, Y ] was a Euclidean domain, then it would be a principal ideal domain. But consider I = (x, y) = (x) + (y). I is certainly not a principal ideal, as if it were, there would be some polynomial, g that divides everything in I, so g would divide x, implying that g does not contain any monomials with positive degree in y, and likewise ...

Hepatitis E virus (HEV) is a major cause of hepatitis in normal and organ transplant individuals. HEV open reading frame-1 encodes a polypeptide comprising of the viral nonstructural proteins as well as domains of unknown function such as the macro domain (X-domain), V, DUF3729 and Y. The macro domain proteins are ubiquitously present from prokaryotes to human and in many positive-strand RNA vi...

In a classical transfer learning setting, we have sufficient fully labeled data from the source domain (or the training domain) where we fully observe the data points X, and all corresponding labels Y tr are known. On the other hand, we are given data points, X, from the target domain (or the test domain), but few or none of the corresponding labels, Y , are given. The source and the target dom...

∙ A function is a rule that assigns to each objects in a set A exactly one object in a set B. The set A is called the domain of the function. The set of assigned abjects in B is called the range. ∙ (Domain Convention) If a formula (or several formulas) is used to define a function f , then we assume that the domain of f to be the set of all numbers for which f(x) is defined. ∙ A demand function...

Aggregates. For aggregates, we build on ideas in (Pelov 2004). We only consider decomposable aggregate functions, i.e., aggregates for which agg(S) = agg({agg(S′), agg(S \S′)}), for sets of domain elements S and S′ ⊂ S. Our transformation of agg({x ∈ T : φ : t}) is based on the decomposability of the considered aggregates and the fact that there is a total order on all domain elements, with a f...