Thematrix expression and relationships among several definitions of Boolean derivatives are given by using the Cheng product. We introduce several definitions of Boolean derivatives. By using the Cheng product, the matrix expressions of Boolean derivative are given, respectively. Furthermore, the relationships among different definitions are presented. The logical calculation is converted into ...

We study the neutrino mixing matrix (the MNS matrix) in the seesaw model. By assuming a large mass hierarchy for the heavy right-handed Majorana mass, we show that, in the diagonal Majorana base, the MNS matrix is determined by a unitary matrix, S, which transforms the neutrino Yukawa matrix, yν , into a triangular form, y△. The mixing matrix of light leptons is VKMS ′∗ , where VKM ≡ VLe VLν an...

In this paper Witten type deformation of osp(1/2) algbera is introduced and its realization and matrix representation are obtained. The matrix representation is shown to be possible only when the dimension is odd.

using the nanotechnology and decreasing the dimension of reinforcement particles to nanometer, outstanding mechanical properties are achieved in aluminum matrix nanocomposites. fabrication of aluminum matrix nanocomposites by casting is of great importance because of its simplicity, low cost and ease of the control of matrix microstructure. in this study, the aging behavior of nanocomposite sam...

We have considered the properties of anisotropic two-leg ladder models with S = 1/2 or S = 1 spins on the rungs, using White’s density matrix renormalization group method. We have generalized the method by taking into account the symmetries of the model in order to reduce the dimensions of the matrix to be diagonalized, thereby making possible to consider more states. The boundaries in the para...

In this paper, we study the relations between the Bell matrix and the Fibonacci matrix, which provide a unified approach to some lower triangular matrices, such as the Stirling matrices of both kinds, the Lah matrix, and the generalized Pascal matrix. To make the results more general, the discussion is also extended to the generalized Fibonacci numbers and the corresponding matrix. Moreover, ba...

AproductADF1 : : : FN of invertible block-diagonalmatrices will be bandedwith a banded inverse. We establish this factorization with the numberN controlled by the bandwidthsw and not by the matrix size n:When A is an orthogonal matrix, or a permutation, or banded plus finite rank, the factors Fi have w D 1 and generate that corresponding group. In the case of infinite matrices, conjectures rema...

This paper addresses the semantics of the present form (known as the -ru form) of activity verbs in Japanese and examines the effect of these verbs in contrast to that of the inflected form (the -ta form). Garden-path sentences involving an ambiguity between a simple sentential reading and a relative clause reading generally show a preference for the former reading; when the preferred reading p...

This paper evaluates the LinGO Grammar Matrix, a cross-linguistic resource for the development of precision broad coverage grammars, by applying it to the Australian language Wambaya. Despite large typological differences between Wambaya and the languages on which the development of the resource was based, the Grammar Matrix is found to provide a significant jump-start in the creation of the gr...