In this paper,  pseudo-amenability and pseudo-Connes amenability of weighted semigroup algebra $ell^1(S,omega)$ are studied. It is proved that pseudo-Connes amenability and pseudo-amenability of weighted group algebra $ell^1(G,omega)$ are the same. Examples are given to show that the class of $sigma$-Connes amenable dual Banach algebras is larger than that of Connes amenable dual Banach algebras.

Combining the adaptive inverted control method based on a compound orthogonal neural network with generic mode control scheme, an adaptive control algorithm based on a compound orthogonal neural network has been proposed, which can embed the process model into the controller by the inverted control method with neural networks. It can guarantee the realizability of the generic model control sche...

In this paper, the quaternion Bessel-Fourier moments are introduced. The significance of phase information in quaternion Bessel-Fourier moments is investigated and an accurate estimation method for rotation angle is described. Furthermore, a new set of invariant descriptors based on the magnitude and the phase information of quaternion Bessel-Fourier moments is derived. Experimental results sho...

Subodh Paudel, Mohamed Elmtiri, Wil L. Kling, Olivier Le Corre, Bruno Lacarrière Department of Energy System and Environment, Ecole des Mines, Nantes, GEPEA, CNRS, UMR 6144, France Environnement Recherche et Innovation, Veolia, France Department of Electrical Engineering, Technische Universiteit Eindhoven, Netherlands *Corresponding author. Tel.: +33 2 51 85 82 57 E-mail: Olivier.Lecorre@mines-...

We study the integrals of type I(a) = ∫ On ∏ u aij ij du, depending on a matrix a ∈Mp×q(N), whose exact computation is an open problem. Our results are as follows: (1) an extension of the “elementary expansion” formula from the case a ∈M2×q(2N) to the general case a ∈Mp×q(N), (2) the construction of the “best algebraic normalization” of I(a), in the case a ∈M2×q(N), (3) an explicit formula for ...

Craigen introduced and studied signed group Hadamard matrices extensively in [1, 2]. Livinskyi [13], following Craigen’s lead, studied and provided a better estimate for the asymptotic existence of signed group Hadamard matrices and consequently improved the asymptotic existence of Hadamard matrices. In this paper, we introduce and study signed group orthogonal designs. The main results include...

The aim of this paper is to discuss an important discourse, as most literatures highlighted the dimension partial flag in a certain manner, according fixed definition that does not include all possible cases. In present existence two different cases flags varieties groups and explained wholly. addition we will proceed by calculating dimensions for given after pertaining signature these are stud...

Group-orthogonal multi-carrier code division multiple access (GO-MC-CDMA) has recently been proposed as a promising technique for the uplink segment of wireless systems. In this paper we propose and analyze a related scheme, group-orthogonal multi-carrier code division multiplexing (GO-MC-CDM), suitable for the downlink segment. The proposed receiver is shown to offer a similar bit error rate (...

We consider integrals of type ∫ On u1 11 . . . u an 1nu b1 21 . . . u bn 2n du, with respect to the Haar measure on the orthogonal group. We establish several remarkable invariance properties satisfied by such integrals, by using combinatorial methods. We present as well a general formula for such integrals, as a sum of products of factorials. Introduction The computation of polynomial integral...

This study tested the relationship between prelinguistic vocalization and expressive vocabulary 1 year later in young children with mild to moderate developmental delays. Three vocalization variables were tested: rate of all vocalization, rate of vocalizations with consonants, and rate of vocalizations used interactively. The 58 toddlers in the study were 17-34 months old, not sensory impaired,...