In this report we present a collection of results concerning two families of rational orthonormal functions, one on the unit circle, and another on the imaginary axis. We also describe in detail an interesting link between the two families. Special cases of these rational orthonormal functions include the Laguerre and Kautz orthonormal functions, as well as the orthonormal functions recently in...

creativity or uncreativity of the rational soul is one of the oldest problem of philosophy. ibn sina by giving some proofs has proven the creativity of the rational soul. fakhr ad-din ar razi has propsed several critics to each of the avecina’s argument. in this article, we are going to prove that, the origin of razi’s critics is his misunderstanding in ibn sina’s philosophical views in potenti...

Anthropologists and economists commonly employ opposing self-stereotypes to characterize their respective perspectives: concern with relations and processes versus the distribution of outcomes, with contextual understanding versus selective explanation; constructionist versus positivist epistemologies, inductive versus deductive research designs, participant observation versus regressions on ex...

The aim of this paper is to compute the rational character tables of the dicyclic group $T_{4n}$, the groups of order $pq$ and $pqr$. Some general properties of rational character tables are also considered into account.The aim of this paper is to compute the rational character tables of the dicyclic group $T_{4n}$, the groups of order $pq$ and $pqr$. Some general properties of rational charact...

We study relations between some topics in number theory and supersymmetric black holes. These relations are based on the “attractor mechanism” of N = 2 supergravity. In IIB string compactification this mechanism singles out certain “attractor varieties.” We show that these attractor varieties are constructed from products of elliptic curves with complex multiplication for N = 4, 8 compactificat...

product innovation success has very much to do with the development of models ormetaphors that are able to guide actors. one can observe two traditions in thisregard: rational and non-rational models. apparently in the former the model, suchas “development funnel”, is regarded as a mechanism and rigid applicable, picturinginnovation as an orderly, goal-oriented, value-neutral, and systematic pr...