In this paper, we study the approximate biprojectivity and biflatness of a Banach algebra A find some relations between theses concepts with ?-amenability ? -contractibility, where is character on A. Among other things, show that ?-Lau product L1(G) ?? A(G) approximately biprojective if only G finite, are group Fourier locally compact G, respectively. We also characterize biflat semigroup algeb...

We propose a method of generating teaching policies for use in intelligent tutoring systems (ITS) for concept learning tasks [37], e.g., teaching students the meanings of words by showing images that exemplify their meanings à la Rosetta Stone [30] and Duo Lingo [13]. The approach is grounded in control theory and capitalizes on recent work by [28], [29] that frames the “teaching” problem as th...