We extend the minimal supersymmetric standard model with bilinear R-parity violation to include a pair of Higgs triplet superfields. The neutral components of the Higgs triplets develop small vacuum expectation values (VEVs) quadratic in the bilinear R-parity breaking parameters. In this scheme the atmospheric neutrino mass scale arises from bilinear R-parity breaking while the solar neutrino m...

Multivariate Quadratic Quasigroups (MQQs) as a suitable class of quasigroups for multivariate public key cryptography recently have been an important mathematical tool in information security field. In this paper, we propose a necessary and sufficient condition to verify whether a quasigroup given by its multiplication table is a bilinear MQQ, which shows that checking whether an arbitrary quas...

Some recent results for bilinear or multilinear singular integrals operators are presented. The focus is on some of the results that can be viewed as natural counterparts of classical theorems in Calderón-Zygmund theory, adding to the already existing extensive literature in the subject. In particular, two different classes of operators that can be seen as bilinear counterparts of linear Calder...

In 2008, an electronic cash scheme with multiple banks based on group signatures was proposed by Wang et al. They adopted a group blind signature scheme based on bilinear pairings to generate the electronic cash and it can be verified by the bilinear pairings operation. However, we find some security problems in their approach. By the way, the cost of communication and computation in their sche...

The Runge-Kutta (RK)-Butcher algorithm is used to study the timevarying singular bilinear systems with the exact solutions. The results (discrete solutions) obtained using the Haar wavelets, Single-Term Walsh series (STWS) and RK-Butcher algorithms are compared with the exact solutions of the time-varying singular bilinear systems. It is found that the solution obtained using the RK-Butcher alg...

Near-controllability is defined for those systems that are uncontrollable but have a large controllable region. It is a property of nonlinear control systems introduced recently, and it has been well demonstrated on discrete-time bilinear systems. The purpose of this paper is to propose a useful algorithm to compute the control inputs, which achieve the transition of a given pair of states, for...

We propose a new type of linearizability, called right-linear-first (RLF) linearizability. The well-known ZYTlinearizability deals with only one bilinear rule. RLF-linearizability is a generalization of ZYT-linearizability since RLF-linearizability deals with general bilinear datalog programs consisting of multiple bilinear and linear rules. We identify sufficient conditions for RLF-linearizabi...

The objective of this paper is to describe a new method for identification of a continuous-time multiinput and multi-output bilinear system. The approach is to make judicious use of the linear-model properties of the bilinear system when subjected to a constant input. Two steps are required in the identification process. The first step is to use a set of pulse responses resulting from a constan...

This paper can be considered as the sequel of [6], where the authors have proposed an abstract construction of Hardy spaces H. They shew an interpolation result for these Hardy spaces with the Lebesgue spaces. Here we describe a more precise result using the real interpolation theory and we clarify the use of Hardy spaces. Then with the help of the bilinear interpolation theory, we then give ap...