The ‘radioactive dice’ experiment is a commonly used classroom analogue to model the decay of radioactive nuclei. However, the value of the half-life obtained from this experiment differs significantly from that calculated for real nuclei decaying exponentially with the same decay constant. This article attempts to explain the discrepancy and suggests modifications to the experiment to minimize...

Evolution-in-materio (EIM) is the manipulation of a physical system by computer controlled evolution (CCE). It takes the position that to obtain useful functions from a physical system one needs to apply highly specific physical signals and place the system in a particular physical state. It argues that CCE is an effective methodology for doing this. One of the potential advantages of this is t...

The hurricane remains one of the outstanding enigmas of fluid dynamics. This is so, in part, because the phenomenon is comparatively difficult to observe and because no laboratory analogue has been discovered. To this it must be added that hurricanes have received surprisingly little attention from the theoretically inclined fluid dynamicist, perhaps owing to an understandable tendency to avoid...

According to Hans Kamp and Frank Vlach, the two-dimensional tense operators “now” and “then” are ineliminable in quantified tense logic. This is often adduced as an argument against tense logic, and in favor of an extensional account that makes use of explicit quantification over times. The aim of this paper is to defend tense logic against this attack. It is shown that “now” and “then” are eli...

In this contribution we propose an analogue receiver that can perform turbo detection inMIMO systems. We present the case for a receiver that is built from nonlinear analogue devices, which perform detection in a “free-flow” network (no notion of iterations). This contribution can be viewed as an extension of analogue turbo decoder concepts to include MIMO detection. These first analogue implem...

This article tackles categorical coherence within a two-dimensional generalization of Lawvere’s functorial semantics. 2-theories, a syntactical way of describing categories with structure, are presented. From the perspective here afforded, many coherence results become simple statements about the quasi-Yoneda lemma and 2-theory-morphisms. Given two 2-theories and a 2-theory-morphism between the...

Recently, Andrews and Berkovich introduced a trinomial version of Bailey’s lemma. In this note we show that each ordinary Bailey pair gives rise to a trinomial Bailey pair. This largely widens the applicability of the trinomial Bailey lemma and proves some of the identities proposed by Andrews and Berkovich. The trinomial Bailey lemma In a recent paper, Andrews and Berkovich (AB) proposed a tri...

We define analytic torsion τ (X,E ,H) ∈ detH(X, E ,H) for the twisted de Rham complex, consisting of differential forms on a compact Riemannian manifold X valued in a flat vector bundle E , with a differential given by ∇ +H ∧ · , where ∇ is a flat connection on E , H is an odd-degree closed differential form on X, and H(X, E ,H) denotes the cohomology of this Z2-graded complex. We show that whe...

System-on-a-Chip LSIs (SoCs) have been widely used for many applications which include not only the field related to electronics but also new fields like architecture, agriculture, medicine and so on. Scale of such the LSIs has been more increasing for realizing multi-function and complex systems. Although the progress of the process technologies offers a lot of advantages over digital circuits...