Extensive discussions and debates about the advantages of using technology to create a shared space among learning participants have been presented in studies in the field of e-learning. One of the approaches in using or adopting technology for learning is through the use of online discussion forums, which as reported has beneficial impact on the teaching and learning process. Online discussion...

1 Centre Interdisciplinaire de Recherche en Réadaptation et en Intégration Sociale de l’Université Laval, Centre de Recherche de l’Institut Universitaire en Santé Mentale de Québec, Faculté de Médecine, Université Laval, Quebec, QC, Canada 2 Centre Hospitalier le Vinatier, Université de Lyon, F-69003, Université Claude Bernard Lyon I, EA 4615, Bron, Lyon, France 3 Berenson-Allen Center for Noni...

The order-disorder transition is studied in a system of a scalar nonconserved order parameter. We use this well studied system to show that the application of the methods of topology and geometry reveals that our knowledge of the kinetic pathways by which the order-disorder transition proceeds is far from being complete. We show that in two-dimensional (2D) and 3D systems there are three dynami...

Solution. The 11-Sylow subgroup is Z/11Z; the 5-Sylow subgroup is Z/5Z. By Sylow’s theorem, the 11-Sylow subgroup is normal. Hence, the group is a semi-direct product of its 5 and 11-Sylow subgroups. Since Aut(Z/11Z) = Z/10Z has a unique subgroup of order 5, there are up to isomorphism exactly two groups of order 55: the abelian group Z/55Z and the group with presentation ⟨x, y|x = y = 1, xyx−1...

Solution: For the action mentioned in the hint, the stabilizer of the coset eH (e is the identity) is H since gH = H implies that g ∈ H. The kernel K of the homomorphism of G into the permutation group of the cosets is a normal subgroup of G which is the intersection of stabilizers of all cosets. In particular the kernel K of the above homomorphism is a subgroup of H. Its index in G is equal to...

Let G have order 2013. For p = 3, 11, 61 denote by np the number of Sylow p-groups in G. By Sylow’s theorems we have 61 | (n61 − 1) and n61|33, which is possible only for n61 = 1. Hence the 61-Sylow subgroup B is unique and therefore normal in G. Similarly, n11 | 3× 61 and 11 | (n11 − 1) yields n11 = 1; and the unique 11-Sylow subgroup A is normal in G. Note that A ∩ B is the trivial subgroup {...

recurring after a short time, was successfully treated by radium. It is interesting to note in the present series (Cases 3 anid 4), the dlifference in response to radium of two growths which histologically are very similar. Generally it would seem if the situation of the growth is such that it (loes not reaclily permit of removal of a wedge of normal tissue together with the tumour, surgical in...

So, at altitudes above 1,000 m, the dragonfl ies could be able to reach the Maldives using these winds. Studies in China have found the dragonfl ies fl ying at these heights and studies of air pollutants have shown that they can spread from southern India to the Maldives at speeds of 10 m per second. With such tailwinds, dragonfl ies might make the crossing from India to Male in 24 hours or les...