In this paper we study the probability of differentials and characteristics over 2 rounds of the AES with the objective to understand how the components of the AES round transformation interact. We extend and correct the analysis of the differential properties of the multiplicative inverse in GF(2) given in [17]. We show that AES has characteristics with a fixed-key probability that is many tim...

1. We measured the response of macaque ganglion cells to sinusoidally modulated red and green lights as the relative phase, theta, of the lights was varied. 2. At low frequencies, red-green ganglion cells of the parvocellular (PC-) pathway with opponent inputs from middle-wavelength sensitive (M-) and long-wavelength sensitive (L-) cones were minimally sensitive to luminance modulation (theta =...

Two vessels from different sites of the Iranian Plateau, dating to the late 4th or early 3rd millennium BCE are presented aspalaeotechnological case studies. In the fractures of the vessels’ walls, interfaces left by added clay parts (enhanced inthe two illustrations) are quite recognizable. It is proposed that in both cases potters, in order to construct the bases, usedto make bowls comparable...

Objective: This study aimed to evaluate the suitability of one specific silorane-based composite for the application as a repair material for different substrates. Materials and methods: Truncated cones of composites fabricated and thermocycled for 6000 cycles to serve as a substrate were made of two commercially available dimethacrylate-based composites (DBC) (Filtek Supreme and Clearfil APX) ...

In this paper, we first present a new important property for Bouligand tangent cone (contingent cone) of a star-shaped set. We then establish optimality conditions for Pareto minima and proper ideal efficiencies in nonsmooth vector optimization problems by means of Bouligand tangent cone of image set, where the objective is generalized cone convex set-valued map, in general real normed spaces.

Modelling nonlinear phenomena in thin rubber shells calls for stretch-based material models, such as the Ogden model which conveniently utilizes eigenvalues of deformation tensor. Derivation and implementation models have been already made Finite Element Methods. This is, however, still lacking shell formulations based on Isogeometric Analysis, where higher-order continuity spline basis is empl...

In this paper, we investigate relation between weak subdifferential and augmented normal cone. We define augmented normal cone via weak subdifferential and vice versa. The necessary conditions for the global maximum are also stated. We produce preliminary properties of augmented normal cones and discuss them via the distance function. Then we obtain the augmented normal cone for the indicator f...