The paper is a short survey of recent developments in the area of word maps evaluated on groups and algebras. It is aimed to pose questions relevant to Kac–Moody theory.

A lagrangian for gauge fields coupled to fermions with the Kac-Moody group as its gauge group yields, for the pure fermions sector, an ideal gas of Kac-Moody fermions. The canonical partition function for the Û(1) case is shown to have a maximum temperature kTM = |λ|/π, where λ is the coupling of the super charge operator G0 to the fermions. This result is similar to the case of strings but unl...

the advantages and special characteristics of service oriented architecture and expansion of employing such architecture have brought security topics which are different in some cases from the security principles of traditional information systems. in this article our aim is the examination of various indices of security and the presentation of strategies for security in information systems by ...

Modern organizations have a huge challenge on their hands, on a scale unlike anything they’ve seen since the Y2K crisis. They must “secure” the organization in the face of increasing complexity, uncertainty, and interconnection brought about by an unprecedented reliance on technology to accomplish their mission. They must also stay mindful of the heavy hand of regulation as legislators discover...

Most introductory courses on logic teach only the syntax of first-order predicate calculus and give a few simple proofs, usually of theorems in arithmetic. Advanced courses are taught in mathematics departments, where they lead to topics that have little or no application to linguistics. In one of the standard textbooks, Schoenfield (1967) explicitly states "Mathemat ical logic has always been ...

This paper is meant to be an introduction to connectionism for linguists. It covers fundamentals of connectionism and applications of connectionism to human language processing. Because the first (and the last for some) question that linguists want to ask is “why bother with connectionism?” it would be appropriate to try to answer this question first. A quick and rather naive answer is that bot...