The extended Yang-Mills gauge theory in Euclidean space is a renormalizable (by power counting) gauge theory describing a local interacting theory of scalar, vector, and tensor gauge fields (with maximum spin 2). In this article we study the quantum aspects and various generalizations of this model in Euclidean space. In particular the quantization of the pure gauge model in a common class of c...

The lack of theories and methodological weakness have been pointed out as two distinct but related problems in empirical management information systems (MIS) research. Reinforcing the existing belief that too much attention has been devoted to "what" as opposed to ’~vhy" or ’~vhen" relationships exist, this paper focuses on a subset of model building and methodology issues involving the systema...

This paper first reviews quantum measure and integration theory. A new representation of the quantum integral is presented. This representation is illustrated by computing some quantum (Lebesgue)2 integrals. The rest of the paper only considers finite spaces. Anhomomorphic logics are discussed and the classical domain of a coevent is studied. Pure quantum measures and coevents are considered an...

Partial evaluation of an applied lambda calculus was done some years ago in the lambda-mix project. When moving to pure lambda calculus, some issues need to be considered, most importantly how we represent programs in pure lambda calculus. We start by presenting a compact representation schema for λ-terms and show how this leads to an exceedingly small and elegant self-interpreter. Partial eval...

In the framework of deformation quantization we apply the formal GNS construction to find representations of the deformed algebras in pre-Hilbert spaces over C[[λ]] and establish the notion of local operators in these pre-Hilbert spaces. The commutant within the local operators is used to distinguish ‘thermal’ from ‘pure’ representations. The computation of the local commutant is exemplified in...

We show how to give the expression for periods, Higgs field and its dual of N = 2 supersymmetric Yang-Mills theory around the conformal point. This is achieved by evaluating the integral representation in the weak coupling region, and by using analytic continuation to the conformal point. The explicit representation is shown for the SU(2) theory with matter fields and also for pure SU(N) and pu...

Developmental dyscalculia (DD) is a specific learning disability affecting the acquisition of school-level mathematical abilities in the context of otherwise normal academic achievement, with prevalence estimates in the order of 3-6%. Behavioural studies show deficits in elementary numerical processing among individuals with pure DD, indicating that deficits in higher-level mathematical skills ...

• Set of defender pure strategies, denoted as E . We will use e(∈ E) to denote a generic pure strategy. Crucially, any e can be viewed as a subset of [n], denoting the protected (a.k.a., covered) targets by this pure strategy. In particular, the defender has multiple security resources; One pure strategy is a feasible allocation of these resources – e is precisely the set of covered targets in ...

In this paper, we present a dual representation for the multiple stopping problem, hence multiple exercise options. As such, it is a natural generalization of the method in Rogers (Math. Finance 12:271–286, 2002) and Haugh and Kogan (Oper. Res. 52:258–270, 2004) for the standard stopping problem for American options. We term this representation a ‘pure martingale’ dual as it is solely expressed...