The concept ‘cultural flashpoint’ (CF) has not been fully defined or described. authors test this through the prism of a controversial gender-focused Irish school programme, Exploring Masculinities (EM). Adopting an instrumental case study methodology, they use media content analysis to develop temporal trajectory CF, describe its shape, explicit and implied contentious themes, process. They id...

Collaborative Filtering (CF) is a popular method for personalizing product recommendations for e-Commerce and customer relationship management (CRM). CF utilizes the explicit or implicit product evaluation ratings of customers to develop personalized recommendations. However, there has been no in-depth investigation of the parameters of CF in relation to the number of ratings on the part of an ...

LetBD be the indefinite quaternion algebra overQ of reduced discriminantD=p1· · · · ·p2r for pairwise different prime numbers pi and let XD/Q be the Shimura curve attached to BD. As it was shown by Shimura [23], XD is the coarse moduli space of abelian surfaces with quaternionic multiplication by BD. Let W = {ωm : m | D} ⊆ Aut Q(XD) be the group of Atkin-Lehner involutions. For any m | D, we wi...

In recent years, collaborative filtering (CF) methods are important and widely accepted techniques are available for recommender systems. One of these techniques is user based that produces useful recommendations based on the similarity by the ratings of likeminded users. However, these systems suffer from several inherent shortcomings such as data sparsity and cold start problems. With the dev...

Collaborative €ltering (CF) is one of themost ecient ways for recommender systems. Typically, CF-based algorithms analyze users’ preferences and items’ aŠributes using one of two types of feedback: explicit feedback (e.g., ratings given to item by users, like/dislike) or implicit feedback (e.g., clicks, views, purchases). Explicit feedback is reliable but is extremely sparse; whereas implicit ...

The modularity of rigid Calabi-Yau threefolds over Q has recently been established for a huge class of manifolds (cf. [DM]). However, the number of explicit examples of modular (rigid and non-rigid) Calabi-Yau threefolds is still quite small (cf. [Y]). As a consequence, only a few primes of bad reduction, combining to the level of the associated newform, have appeared in those examples which ca...

The problem of building recommender systems has attracted considerable attention in recent years. Collaborative Filtering (CF) is one of the most successful and widely used approaches in recommend system. Traditional collaborative filtering requires explicit user participation for providing his/her interest to the items. In this paper, we propose a novel collaborative filtering approach based o...

The Clifford algebra Cf of a binary form f of degree d is the kalgebra k{x, y}/I, where I is the ideal generated by {(αx + βy)d − f(α, β) | α, β ∈ k}. Cf has a natural homomorphic image Af that is a rank d2 Azumaya algebra over its center. We prove that the center is isomorphic to the coordinate ring of the complement of an explicit Θ-divisor in Picd+g−1 C/k , where C is the curve (wd − f(u, v)...

In [17] the author proved that in characteristic 0 the jacobian J(C) = J(Cf ) of a hyperelliptic curve C = Cf : y 2 = f(x) has only trivial endomorphisms over an algebraic closure Ka of the ground field K if the Galois group Gal(f) of the irreducible polynomial f ∈ K[x] is “very big”. Namely, if n = deg(f) ≥ 5 and Gal(f) is either the symmetric group Sn or the alternating group An then the ring...