We discuss embedding theorems for HNN extensions and clarify the relationship between the concept by Gilbert and that of Yamamura. We employ the automata theoretical technique based on the combinatorial and geometrical properties of Schützenberger graphs.

Much research effort into synaptic plasticity has been motivated by the idea that modifications of synaptic weights (or strengths or efficacies) underlie learning and memory. Here, we examine the possibility of exploiting the statistics of experimentally measured synaptic weights to deduce information about the learning process. Analysing distributions of synaptic weights requires a theoretical...

Previous studies on handicapping have suggested that in matches between 2 golfers, the better golfer has an advantage. In this paper, we consider medal play between 2 golfers when they are both playing well. The study uses the new slope system for handicapping. In this context we argue that it is actually the weaker golfer who has an advantage. The conclusions are based on both the analysis of ...

The up-to-date views on the local interstellar medium adjacent to the Solar system, which forms the heliosphere, the latter being actively investigated by means of spacecrafts, are presented. The experimental methods to determine the parameters of local interstellar gas (bulk velocity, temperature, number density, chemical composition, etc.) are qualitatively described. The role of theoretical ...

The field of developmental psychopathology is faced with a dual challenge. On the one hand, we must build interdisciplinary theoretical models that adequately reflect the complexity of normal and abnormal human development over time. On the other hand, to remain a viable empirical science, we must rigorously evaluate these theories using statistical methods that fully capture this complexity. T...

1 Department of Mechanical Engineering, University College London, Torrington Place, London, WC1E 7JE, UK Email: [email protected] 2 Sira Technology Centre, Sira Ltd., South Hill, Chislehurst, Kent, BR7 5EH, UK Abstract. This paper discusses the difficulties in applying uncertainty management techniques to real world problems. Although there have been many successful applications in fields such...

This article details the history, logistical operations, and design philosophy of the Mathematical and Theoretical Biology Institute (MTBI), a nationally recognized research program with an 18-year history of mentoring researchers at every level from high school through university faculty, increasing the number of researchers from historically underrepresented minorities, and motivating them to...