Living organisms process information without any central control unit and without any ruling clock. We have been studying a novel computational strategy that uses a geometrically arranged excitable field, i.e., "field computation." As an extension of this research, in the present article we report the construction of a "direction detector" on an excitable field. Using a numerical simulation, we...

This article pursues two tasks. The first is to clarify the value and productivity of Williams’s Keywords: a vocabulary culture society (first edition 1976, second expanded 1983a) for project Cultural Studies. clarification helped, I argue, by reading it alongside Vološinov’s Marxism philosophy language (published in Russian 1929, translated into English 1973). related task speculative developm...

Computing modular coincidences can show whether a given substitution system, which is supported on a point lattice in R d , consists of model sets or not. We prove the computatibility of this problem and determine an upper bound for the number of iterations needed. The main tool is a simple algorithm for computing modular coincidences, which is essentially a generalization of Dekking coincidenc...

We study the existence of periodic solutions for a nonlinear system of n-th order di erential equations on time-scales. Assuming a suitable Nirenberg type condition, we prove the existence of at least one solution of the problem using Mawhin's coincidence degree.

The lower order terms of the heat kernel expansion at coincident points are computed in the context of finite temperature quantum field theory for flat spacetime and in the presence of general gauge and scalar fields which may be non-Abelian and non-stationary. The computation is carried out in the imaginary time formalism and the result is fully consistent with invariance under topologically l...

We study the development of conjunctive keyword searchable scheme which enables one to search encrypted documents by using more than one keyword. The notion of conjunctive keyword searching was presented by Golle et al. in 2004. However, their security model was constructed in a symmetric-key setting which is not applicable for the overall applications in the reality. So Park et al. extended Go...

In this paper we present several proofs on the extension of M. Riesz fractional integration and di¤erentiation to the contexts of spaces of homogeneous type and measure metric spaces with non-doubling measures. 1. Introduction, some de…nitions, and a basic lemma Professor M. Ash asked me to write a survey article on some of the results that Stephen Vági and I obtained in the nineties on fractio...