We study the pole-skipping phenomenon of scalar retarded Green's function in rotating BTZ black hole background. In static case, points are typically located at negative imaginary Matsubara frequencies $\omega=-(2\pi T)ni$ with appropriate values complex wave number $q$. But, a $(1+1)$-dimensional CFT, one can introduce temperatures for left-moving and right-moving sectors independently. As res...

Using boundary-integral projections for time-harmonic electromagnetic (EM) fields, and their numerical implementation, we analyze EM resonance in slabs of two-phase dielectric photonic crystal materials. We characterize resonant frequencies by a complex Floquet-Bloch dispersion relation ω = W (β) defined by the existence of a nontrivial nullspace of a pair of boundary-integral projections param...

A major premise upon which this paper by Macaulay was written is flawed as is the formulation (both conceptually and mathematically) of the scattering models. The formulation is actually an assemblage and adaptation of previously published approximate solutions rather than a generalization. The physics of the scattering isblurred through a multitude of empirical parameters. In order for this ne...

Photoinduced microphase separation in block copolymers (BCP) was achieved for the first time, using a rationally designed diblock copolymer composed of two side-chain liquid crystalline polymers (SCLCP). The miscibility of the two blocks was promoted by the miscibility between the two types of mesognic side groups, while upon UV exposure inducing the trans-cis isomerization of azobenzene mesoge...

In the title complex, [Cu(NCS)(2)(C(6)H(8)N(2))(2)], the Cu(II) atom, lying on an inversion center, adopts a Jahn-Teller distorted octahedral CuN(6) coordination geometry. The two bidentate 2-amino-methyl-pyridine ligands are coordinated in a trans fashion, while the two thio-cyanate ligands are at the axial positions and coordinate to the Cu atom in a bent mode with a C-N-Cu angle of 127.49 (1...

Calculation of the free energy profile for 1,4 butadiene polymerisation catalyzed by [Cp*ScR](+) highlights the kinetic preference for cis-1,4 over trans-1,4 insertions. The main differences between cis and trans configuration rely on the thermodynamics and the geometry of the precursor diene adduct.

In this paper we study the problem that when a Boolean function can be represented as the sum of two bent functions. This problem was recently presented by N. Tokareva in studying the number of bent functions [20]. Firstly, many functions, such as quadratic Boolean functions, MaioranaMacFarland bent functions, partial spread functions etc, are proved to be able to be represented as the sum of t...

This paper discusses homogeneous bent functions. The space of homogeneous functions of degree three in six boolean variables was exhaustively searched and thirty bent functions were found. These are found to occur in a single orbit under the action of relabeling of the variables. The homogeneous bent functions identiied exhibit interesting combinatorial structures and are, to the best of our kn...

In this paper, we show the rst method to construct vecto-rial bent functions which satisfy both the largest degree and the largest number of output bits simultaneously. We next apply this method to construct balanced vectorial Boolean functions which have larger non-linearities than previously known constructions.

In the literature, few constructions of n-variable rotation symmetric bent functions have been presented, which either have restriction on n or have algebraic degree no more than 4. In this paper, for any even integer n = 2m ≥ 2, a first systemic construction of n-variable rotation symmetric bent functions, with any possible algebraic degrees ranging from 2 to m, is proposed.