Boolean function in even number of variables is called bent if it is at the maximal possible Hamming distance from the class of all affine Boolean functions. We have proven that every isometric mapping of the set of all Boolean functions into itself that transforms bent functions into bent functions is a combination of an affine transform of coordinates and an affine shift.

We obtain the quasinormal modes for tensor perturbations of Gauss-Bonnet (GB) black holes in d = 5, 7, 8 dimensions and vector perturbations in d = 5, 6, 7 and 8 dimensions using third order WKB formalism. The tensor perturbation for black holes in d = 6 is not considered because of the fact that it is unstable to tensor mode perturbations. In the case of uncharged GB black hole, for both tenso...

The voltage (V) and frequency (f) dependence of dielectric characteristics such as dielectric constant (e0), dielectric loss (e00), dielectric loss tangent (tan d) and real and imaginary part of electrical modulus (V0 and M) of the (Ni/Au)/GaN/Al0.3Ga0.7N heterostructures have been investigated by using experimental admittance spectroscopy (capacitance–voltage (C–V) and conductance–voltage (G/w...

Photo-induced molecular motion in a liquid crystal polymer film including azobenzene was studied by the heterodyne transient grating method. The film was confined in a liquid crystal cell, where it is a photomobile film under free-standing conditions. By observation of the refractive index change induced by a laser pulse, contraction of the film was observed on the order of several hundreds of ...

The structure of the title compound, [CrCl2(tn)2]2[Cr2O7] (tn = propane-1,3-di-amine; C3H10N2), has been determined from synchrotron data. The asymmetric unit contains one CrIII complex cation and half a [Cr2O7]2- anion. In the complex cation, the CrIII ion is coordinated by the four N atoms of two propane-1,3-di-amine (tn) ligands in the equatorial plane and by two Cl atoms in a trans configur...

Azobenzenes have the unique ability to undergo reversible isomerization between two geometrical isomers (the straight trans form and the bent cis) when exposed to certain wavelengths of light, which provide energy for the change. Thus, when embedded in liquid crystal matrices, azobenzene derivatives can function as optically triggered switches regulating, for example, membrane permeability to g...

We theoretically study fishnet metamaterials at optical frequencies. In contrast with earlier works, we provide a microscopic description by tracking the transversal and longitudinal flows of energy through the fishnet mesh composed of intersecting subwavelength plasmonic waveguides. The analysis is supported by a semianalytical model based on surface-plasmon coupled-mode equations, which provi...

The title compound, trans-[Ru(bpy)(2)(H(2)O)(2)](CF(3)SO(3))(2) (bpy = 2,2'-bipyridine, C(10)H(8)N(2)), crystallized from the decomposition of an aged aqueous solution of a dimeric complex of cis-Ru(bpy)(2) in 0.1 M triflic acid. The Ru(II) ion is located on a crystallographic inversion center and exhibits a distorted octa-hedral coordination with equivalent ligands trans to each other. The Ru-...