A grid comb model is a generalization of the well known comb model, and it consists of N backbones. For N = 1 the system reduces to the comb model where subdiffusion takes place with the transport exponent 1/2. We present an exact analytical evaluation of the transport exponent of anomalous diffusion for finite and infinite number of backbones. We show that for an arbitrarily large but finite n...

Our purpose is to search association schemes which are obtained by repeating an extension by a thin normal closed subset. To do this, we will focus the higher Frobenius-Schur indicators which are studied in many research areas recently. The classical Frobenius-Schur indicator for association schemes was introduced by Higman [3]. We will define the higher Frobenius-Schur indicators for associati...

The Artin exponent induced from cyclic subgroups of finite groups was studied extensively by T.Y. Lam in [5]. A Burnside ring theoretic version of the results in [5] for p-groups was given in [6]. Here we shall be interested in looking at the Artin exponent induced from the elementary abelian subgroups of finite p-groups using some results of A. Dress in [3].

We consider the problem of testing two hypotheses quantum operations in a setting many uses where an arbitrary prior probability distribution is given. The Chernoff exponent for investigated to track minimal average error discriminating asymptotically. answer question, "When finite?" show that either can be perfectly distinguished with finite uses, or discrimination decays exponentially respect...

The Scaling Law for the Discrete Kinetic Growth Percolation Model The critical exponent of the total number of finite clusters α is calculated directly without using scaling hypothesis both below and above the percolation threshold pc based on a kinetic growth percolation model in two and three dimensions. Simultaneously, we can calculate other critical exponents β and γ, and show that the scal...

The paper deals with devising the combination of fuzzy inference systems (FIS) and neural networks called the adaptive network fuzzy inference system (ANFIS) to determine the forming limit diagram (FLD). In this paper, FLDs are determined experimentally for two grades of low carbon steel sheets using out-of-plane (dome) formability test. The effect of different parameters such as work hardening...