Every synchronising permutation group is primitive and of one three types: affine, almost simple, or diagonal. We exhibit the first known example a diagonal type group. More precisely, we show that PSL ( 2 , q ) × $\operatorname{{\mathrm{PSL}}}(2,q)\times \operatorname{{\mathrm{PSL}}}(2,q)$ acting in its action on $\operatorname{{\mathrm{PSL}}}(2,q)$ separating, hence synchronising, for = 13 $q...

Background: Nomophobia is the fear of being disconnected from one’s mobile phone, prevailing in modern area. To the best of our knowledge, no Persian psychometric scales are available for investigating nomophobia among Iranians. Therefore, we here aimed to translate and validate the Nomophobia Questionnaire (NMP-Q) for being used in Iran. Methods:...

In this paper with the help of the inverse function of the singular moduli we evaluate the Rogers-Ranmanujan continued fraction and its first derivative. 1 q 1 1 q 2 1 q 3 1 · · ·. 1.1 We also define a; q n : n−1 k0 1 − aq k , f −q : ∞ n1 1 − q n q; q ∞ .

Monte Carlo simulations are performed to study the two-dimensional Potts models with q = 3 and 4 states on directed Small-World network. The disordered system is simulated applying the Heat bath Monte Carlo update algorithm. A first-order and second-order phase transition is found for q = 3 depending on the rewiring probability p, but for q = 4 the system presents only a first-order phase trans...

In this paper, we first establish two quantum integral (q-integral) identities with the help of derivatives and integrals types. Then, prove some new q-midpoint q-trapezoidal estimates for newly established q-Hermite-Hadamard inequality (involving left right proved by Bermudo et al.) under q-differentiable convex functions. Finally, provide examples to illustrate validity obtained inequalities.

Author article stakes part in several projects focused just on development of technical creativity and imagination in students of faculties of education, teachers and primary school pupils. The article deals with the teacher’s approach to the teaching of psychomotor skills, while specifically seeking to answer whether among teachers of technical education and practical activities, there are gro...