let g be a finite group and let $gk(g)$ be the prime graph of g. we assume that $n$ is an odd number. in this paper, we show that if $gk(g)=gk(b_n(p))$, where $ngeq 9$ and $pin {3,5,7}$, then g has a unique nonabelian composition factor isomorphic to $b_n(p)$ or $c_n(p)$ . as consequences of our result, $b_n(p)$ is quasirecognizable by its spectrum and also by a new proof, the validity of a con...

Let an indirectly measurable variable Y be represented as a function of finite number of directly measurable variables X1, X2, ..., Xn. We introduce maximum absolute and relative inaccuracies of second order of Y – this idea is a continuation of our research of a new principle for representing the maximum inaccuracies of Y using the inaccuracies of X1, X2, ..., Xn. Using inaccuracies of second ...

let $g$ be a finite group. we construct the prime graph of $ g $,which is denoted by $ gamma(g) $ as follows: the vertex set of thisgraph is the prime divisors of $ |g| $ and two distinct vertices $ p$ and $ q $ are joined by an edge if and only if $ g $ contains anelement of order $ pq $.in this paper, we determine finite groups $ g $ with $ gamma(g) =gamma(l_3(q)) $, $2 leq q < 100 $ and prov...

The maximum norm error estimations for virtual element methods are studied. To establish the estimations, we prove higher local regularity based on delicate analysis of Green's functions and high-order partition solutions. exact gradient projection solutions proved to achieve optimal convergence results. For methods, results in $L^{\infty}$ norm. Our theoretical discoveries validated by a numer...

Finite element methods are known to produce spurious oscillations when the transport equation is solved. In this paper, a variational formulation for the transport equation is proposed, and by introducing a positivity constraint combined with a penalization of the total variation of the solution, a discrete maximum principle is verified for lagrange first order finite element methods. Moreover,...

condition monitoring of bldc motors due to their important applications is gaining more and more significance. rotor eccentricity is one of the most important sources of faults in these motors. up to now, detection methods of this fault under nonstationary conditions are limited to complicated and time-consuming methods using wavelets and cohen class algorithms which are difficult to implement ...

We consider the problem of approximating the maximum of the sum of m Lipschitz continuous functions. The values of each function are assumed to reside at a di erent memory element. A single processing element is designated to approximate the value of the maximum of the sum of these functions by adopting a certain protocol. Under certain assumptions on the class of permissible protocols, we obta...

An earthquake with the magnitude of 5.9 Mw occurred in Qeshm Island and Hormozgan province in November 27th 2005. 3D co-seismic deformation field caused by the earthquake are determined based on the ascending and descending interferograms and azimuth offsets. The peak to peak estimated displacement is about 10 cm in west, 69 cm in north and 22 cm in vertical directions. We apply strain analysis...