The aim of this paper is to give a direct approach to the study of the Sylow ^-subgroups Sn of the symmetric group of degree pn. [We assume throughout that p^2.] Many of the results are already known and are treated in a paper by Kaloujnine where he uses a particular representation by means of "reduced polynomials."1 It has seemed worth while to restate some of his results using the concept of ...

خلا صلا ـ ة : عون نم يفيكتلا ةانقلا ردقم ءادلأ اًضرع ثحبلا اذه مدقي LMS ةيئاضفلا ةرفشملا تاعومجملا مظن يف نييئاوه مدختست يتلا ةينمزلا لإل اسر ل لابقتسلال اًدحاو اًيئاوهو . و ةانق يه ةمدختسملا ةيكلسلالا ةانقلا Rayleigh ءاضوضلا دوجوب ىسواجلا (Gaussian) يمجتلا جارخلاا يف يع . و حضوت ثحبلا جئاتن إ دحاو لماعم يذ ةانق ردقم مادختساب زاحنم ريغ ريدقت ىلع لوصحلا ةيناكم ) يراسم نم لكل لإا ةراش .( و وحن ةيف...

In this paper we propose an asymptotic preserving scheme for a family of Friedrichs systems on unstructured meshes based on a decomposition between the hyperbolic heat equation and a linear hyperbolic which not involved in the diffusive regime. For the hyperbolic heat equation we use asymptotic preserving schemes recently designed in [FHSN11]-[BDF11]. To discretize the second part we use classi...

We characterize the extremal structures for certain random walks on trees. Let G = (V,E) be a tree with stationary distribution π. For a vertex i ∈ V , let H(π, i) and H(i, π) denote the expected lengths of optimal stopping rules from π to i and from i to π, respectively. We show that among all trees with |V | = n, the quantities mini∈V H(π, i), maxi∈V H(π, i), maxi∈V H(i, π) and ∑ i∈V πiH(i, π...

The Wiener number of a graph G is defined as 1 2 ∑ u,v∈V (G) d(u, v), d the distance function on G. The Wiener number has important applications in chemistry. We determine a formula for the Wiener number of an important graph family, namely, the Mycielskians μ(G) of graphs G. Using this, we show that for k ≥ 1, W (μ(S n)) ≤ W (μ(T k n )) ≤ W (μ(P k n )), where Sn, Tn and Pn denote a star, a gen...

Consider a convex polygon Vn with n sides, perimeter Pn, diameter Dn, area An, sum of distances between vertices Sn and widthWn. Minimizing or maximizing any of these quantities while fixing another defines ten pairs of extremal polygon problems (one of which usually has a trivial solution or no solution at all). We survey research on these problems, which uses geometrical reasoning increasingl...

In this work we study the effect of some electrical prosperities on synthetic rubber reinforced with carbon black diluted in heptanes with concentrations from 0.2% gm/mole to 2.0% gm/ mole in temperatures range (100, 150, 200, 250, 300) C associated with amount weight of black carbon 5wt% added to the diluted rubber. The results of electrical properties measurement of Buna rubber reinforced wit...

Recently, there is a need for fostering the critical reflective side of L2 teacher education. This study investigated the implications of personal narrative (PN) and reflective journal (RJ) writing for Iranian EFL teachers’ reflective writing. Sixty (36 women and 24 men) in-service secondary school EFL teachers were selected based on the convenience sampling from Iran. L2 teachers equally divid...