The class of nilpotent groups of class c and prime exponent p> c with additional predicates Pc ⊆Pc−1 ⊆ . . . ⊆P1 for suitable subgroups has the amalgamation property. Hence the Fräıssé limit D of the finite groups of this class exists. 〈1〉⊆Pc(D)⊆ . . . ⊆P2(D)⊆P1(D)=D is the lower and the upper central series of D. In this extended language, D is ultrahomogeneous. The elementary theory of D allo...

It is known in thin-film deposition that the density of nucleated clusters N varies with the deposition rate F as a power law, N ∼ Fα. The exponent α is a function of the critical nucleus size i in a way that changes with the aggregation limiting process. We extend here the derivation of the analytical capture-zone distribution function Pβ(s) = aß ·sβ ·exp(-bβs2) of Pimpinelli and Einstein to g...

The out-degree distribution is one of the most reported topological properties to characterize real complex networks. This property describes the probability that a node in the network has a particular number of outgoing links. It has been found that in many real complex networks the out-degree has a behavior similar to a power-law distribution, therefore some network growth models have been pr...

For many investors, it is important to predict the future trend of abnormal stock returns. Thus, in this research, the abnormal stock returns of the listed companies in Tehran Stock Exchange were tested since 2008- 2017 using three hypotheses. The first and second hypotheses examined the non-linearity and non-randomness of the abnormal stock returns ′ trend around the release date of annual fin...

Using the wideband indoor channel measurements data at 2.4, 4.75 and 11.5 GHz of [1], a statistical Ultra Wide Band (UWB) channel model is determined. Employing different windows (i.e. Rectangular, Hanning and Blackman-Harris), the impulse response model for the UWB channel is obtained and accordingly, major channel parameters such as path loss exponent, shadowing, root mean square (rms) delay ...

We construct many families of non-quadratic algebraic laurent series with continued fractions having bounded partial quotients sequence, (the diophantine approximation exponent for approximation by rationals is thus 2 agreeing with Roth value), and with the diophantine approximation exponent for approximation by quadratics being arbitrarily large. In contrast, the Schmidt’s value (analog of Rot...