Following a purely algebraic procedure, we provide an exhaustive classification of local Weyl-invariant scalar densities in dimension D = 8 .

We extend properties of the weak order on finite Coxeter groups to Weyl groupoids admitting a finite root system. In particular, we determine the topological structure of intervals with respect to weak order, and show that the set of morphisms with fixed target object forms an ortho-complemented meet semilattice. We define the Coxeter complex of a Weyl groupoid with finite root system and show ...

The supercapacitive behavior of polyaniline/MnO2-carbon black (PANI/MnO2-CB), MnO2-CB nanocompositesand CB was studied. MnO2-CB made by the in situ direct coating method to deposit MnO2 onto CB; then PANI coating was coated on it. Morphology of the nanocomposite was studied by X-ray diffraction (XRD), Fourier transform...

We find a formula that relates the Fourier transform of a radial function on R with the Fourier transform of the same function defined on R. This formula enables one to explicitly calculate the Fourier transform of any radial function f(r) in any dimension, provided one knows the Fourier transform of the one-dimensional function t 7→ f(|t|) and the two-dimensional function (x1, x2) 7→ f(|(x1, x...

The problem of joint compensation of environment and speaker variabilities is addressed. A factored feature-space transform, named factored front-end CMLLR (F-FE-CMLLR), is investigated, which comprises of the cascade of two transforms – front-end CMLLR for environment normalization and CMLLR for speaker normalization. In this paper, we propose an iterative estimation algorithm for F-FE-CMLLR. ...

We propose a fuzzy-based approach aiming at finding numerical solutions to some classical problems. We use the technique of F-transform to solve a second-order ordinary differential equation with boundary conditions. We reduce the problem to a system of linear equations and make experiments that demonstrate applicability of the proposed method. We estimate the order of accuracy of the proposed ...

Bent functions f : F2 → F2 achieve largest distance to all linear functions. Equivalently, their spectrum with respect to the Hadamard-Walsh transform is flat (i.e. all spectral values have the same absolute value). That is equivalent to saying that the function f has optimum periodic autocorrelation properties. Negaperiodic correlation properties of f are related to another unitary transform c...