nowadays, technological development and the appearance of new informational and communicational devices have been lead to new methods for communication and generating and storing of data. the growth of using of these methods in commercial and daily connection has caused a new version of evidence called electronic evidence. although the nature of electronic and paper evidence are different, the ...

In this paper, we discuss some properties of joint spectral {radius(jsr)} and  generalized spectral radius(gsr)  for a finite set of upper triangular matrices with entries in a Banach algebra and represent relation between geometric and joint/generalized spectral radius. Some of these are in scalar matrices, but  some are different. For example for a bounded set of scalar matrices,$Sigma$, $r_*...

We explore the 1-loop renormalization group flow of two models coming from a generalization Connes-Lott version Noncommutative Geometry in Lorentzian signature: Standard Model and its B-L extension. Both make predictions on coupling constants at high energy, but only latter is found to be compatible with top quark Higgs boson masses electroweak scale. took into account corrections introduced by...

O R IG IN A L A R T IC L E Ursula Rohr Sgarbieri

‎in this paper‎, ‎we prove the nonexistence of two weighing matrices of‎ ‎weight 81‎, ‎namely $cw(88,81)$ and $cw(99,81)$‎. ‎we will apply two‎ ‎very different methods to do so; for the case of $cw(88,81)$‎, ‎we‎  ‎will use almost purely counting methods‎, ‎while for $cw(99,81)$‎, ‎we‎ ‎will use algebraic methods‎.

We give further results for Perron-Frobenius theory on the numericalrange of real matrices and some other results generalized from nonnegative matricesto real matrices. We indicate two techniques for establishing the main theorem ofPerron and Frobenius on the numerical range. In the rst method, we use acorresponding version of Wielandt's lemma. The second technique involves graphtheory.

In this paper, we introduce the concept of generalised inverse (ginverse) for intuitionistic fuzzy matrices (IFMs). We define minus partial ordering and studied several properties of it. Here we have shown that the minus partial ordering is a partial ordering for IFMs.

O R IG IN A L A R T IC L E Alexandre Rodrigues Guerzoni Érika Cristina Pavarino-Bertelli Moacir Fernandes de Godoy

We will establish lower bounds in terms of the level for the number of holomorphic cusp forms of weight k > 2 whose various L-functions do not vanish at the central critical point. This work generalizes the work of W. Duke [1] which was for the case of weight 2.