The Fibonacci lengths of the finite p-groups have been studied by R. Dikici and co-authors since 1992. All of the considered groups are of exponent p, and the lengths depend on the celebrated Wall number k(p). The study of p-groups of nilpotency class 3 and exponent p has been done in 2004 by R. Dikici as well. In this paper we study all of the p-groups of nilpotency class 3 and exponent p2. Th...

introduction: the provision of an effective apical seal is an essential factor when choosing an appropriate material for success of root-end surgeries. root-end resection, preparation and obturation should provide an adequate apical seal. the aim of this in vitro study was to investigate bacterial and dye microleakage of four different root-end filling materials and compare the efficacy of thes...

We apply the Hurst exponent idea for investigation of DJIA index time-series data. The behavior of the local Hurst exponent prior to drastic changes in financial series signal is analyzed. The optimal length of the time-window over which this exponent can be calculated in order to make some meaningful predictions is discussed. Our prediction hypothesis is verified with examples of '29 and '87 c...

In [2], Gallant, Lambert and Vanstone proposed a very efficient algorithm to compute Q = kP on elliptic curves having non-trivial efficiently computable endomorphisms. Cryptographic protocols are sensitive to implementations, indeed as shown in [6, 7] information about the secret can be revealed analysing external leakage of the support, typically a smart card. Several software countermeasures ...

A randomized algorithm for function f takes the usual inputs for f together with a stream of random numbers and combines them in a way such that partial or complete knowledge of the atomic operations used to compute f does not easily reveal the values of some or all inputs. The output of f is still computed correctly, but the value is independent of the random input stream. In this chapter we c...

‎by considering a degenerate $p(x)-$laplacian equation‎, ‎a generalized compact embedding in weighted variable‎ ‎exponent sobolev space is presented‎. ‎multiplicity of positive solutions are discussed by applying fibering map approach for the‎ ‎corresponding nehari manifold‎.

The refrigeration and air conditioning industry shows much interest in environmentally-friendly natural refrigerants. One such refrigerant is R744, carbon dioxide. It is attractive because it is not toxic, not flammable, and is widely available as a byproduct of industrial processes. However, carbon dioxide (CO2) systems operate at much higher pressures than systems using HCFC, HFC, or HFC-blen...

It was recently shown that Aharonov-Bohm (AB) cages exist for quantum walks (QW) on certain tilings -- such as the diamond chain or dice (or $\mathcal{T}_3$) lattice a proper choice of coins. In this article, we probe robustness these AB to various perturbations. When are destroyed, analyze leakage mechanism and characterize resulting dynamics. Quenched disorder typically breaks leads an expone...

The microstructure and nonohmic properties of SnO₂-Ta₂O₅-ZnO varistor system doped with different amounts of ZrO₂ (0-2.0 mol%) were investigated. The proposed samples were sintered at 1400°C for 2 h with conventional ceramic processing method. By X-ray diffraction, SnO₂ cassiterite phase was found in all the samples, and no extra phases were identified in the detection limit. The doping of ZrO₂...