Recently, a birational representation of an extended affine Weyl group type $A_{mn-1}^{(1)}\times A_{m-1}^{(1)}\times A_{m-1}^{(1)}$ was proposed with the aid cluster mutation. In this article we formulate in framework system $q$-difference equations $mn\times mn$ matrices. This formulation is called Lax form and used to derive generalization $q$-Garnier system.

Beyond a pure mathematical interest, q-deformation is promising for the modeling and interpretation of various physical phenomena. In this paper, we numerically investigate existence properties self-localized soliton solutions nonlinear Schrödinger equation (NLSE) with q-deformed Rosen–Morse potential. By implementing Petviashvili method (PM), obtain one two NLSE order to temporal behavior stab...

This paper presents various patterns and computer art from three extensions to common fractal methods: use of discontinuous functions (such as boolean functions, and the conditional function), plots of root-finding methods other than Halley’s and Newton’s methods (such as Aitken’s and Muller’s methods), and fractals produced using arithmetic in q-systems other than the complex number system. St...

Recent progress of computer and network technologies makes it possible to store and retrieve a large volume of multimedia data in many applications. In such applications, efficient indexing scheme is very important for multimedia retrieval. Depending on the media type, multimedia data shows distinct characteristics and requires different approach to handle. In this paper, we propose a fast melo...

nature methods | ADVANCE ONLINE PUBLICATION | be subdivided into three domains (Fig. 1a) that perform specific and independent functions: the DNA-binding and dimerization domain (DBD) containing a Zn2-Cys6 motif that recognizes and binds to UAS or QUAS sites; a middle domain (MD) that has no clear function but that might be involved in endogenous regulation or stability; and a transcriptional a...

This paper proposes statistic learning based Q-learning algorithm for Multi-Agent System, the agent can learn other agents’ action policies through observing and counting the joint action, a concise but useful hypothesis is adopted to denote the optimal policies of other agents, the full joint probability of policies distribution guarantees the optimal action choice to the learning agent. The a...

Information systems (IS) departments face many challenges in today’s rapidly changing environment. One approach to understanding these challenges is to survey IS managers to elicit what they consider are key issues. Studies of key IS management issues have been conducted for some years in many nations and regions. However, most of these surveys lack a theoretical basis for the selection of key ...