Nowadays social websites have become a major trend in the Web 2.0 environment, enabling abundant social data available. In this paper, we explore the role of two types of social relationships: membership and friendship, while being fused with traditional CF (Collaborative Filtering) recommender methods in order to more accurately predict users’ interests and produce recommendations to them. Thr...

Let E be an elliptic curve over a field K with a discrete valuation v with residue class field k. Suppose E has "very bad reduction" at v, i.e. the connected component An of the special fibre An of the Neron minimal model is isomorphic to ffi . Then U cl the order of An(k)/A„(k) is at most 4 äs can be seen by inspection of the usual tables, cf.[9], pp. 124/125, cf. [5], p.46. Thus it follows th...

In this article we study interpolation properties for the minimal system of interpretability logic IL. We prove that arrow interpolation holds for IL and that turnstile interpolation and interpolation for the -modality easily follow from this result. Furthermore, these properties are extended to the system ILP. Failure of arrow interpolation for ILW is established by providing an explicit count...

Let F be a global function field and let F ab be its maximal abelian extension. Following an approach of D. Hayes, we shall construct a continuous homomorphism ρ : Gal(F /F ) → CF , where CF is the idele class group of F . Using class field theory, we shall show that our ρ is an isomorphism of topological groups whose inverse is the Artin map of F . As a consequence of the construction of ρ, we...

abstract. In this article we study interpolation properties for the minimal system of interpretability logic IL. We prove that arrow interpolation holds for IL and that turnstile interpolation and interpolation for the-modality easily follow from this result. Furthermore , these properties are extended to the system ILP. Failure of arrow interpolation for ILW is established by providing an expl...

Identifying a customer profile of interest is a challenging task for sellers. Preferences and profile features can range during the time in accordance with current trends. In this paper we investigate the application of different model-based Collaborative Filtering (CF) techniques and in particular propose a trusted approach to user-based clustering CF. We propose a Trust-aware Clustering Colla...

Product recommendation systems are important for major movie studios during the movie greenlight process and as part of machine learning personalization pipelines. Collaborative Filtering (CF) models have proved to be effective at powering recommender systems for online streaming services with explicit customer feedback data. CF models do not perform well in scenarios in which feedback data is ...

To date, very limited research interest has been given to the strategies English-medium instruction (EMI) teachers or lecturers deploy provide corrective feedback (CF) on language use their students during class interaction. In other words, when EMI incidentally focus students’ problematic use, how do they correct it – providing explicit correction using recast elicitation? This article reports...

Since the discovery of the gene that causes Cystic Fibrosis, our knowledge of how mutations in this gene cause the varied pathophysiological manifestations of this disease has increased substantially. This knowledge has led to the possibility of new therapeutic approaches aimed at the basic defect. Class I mutations of CFTR include premature termination codons (PTCs) or stop codons. In the last...