in this paper we revisit the classical approach of the didactic triangle designed for the classical learning situation (face to face) and adapt it to the situation of an adaptive learning system, we discuss also the different components involved in this didactic triangle and how they interact and influence the learning process in an adaptive learning system.

This paper presents a new objective metric for assessing the visual difference between a reference or ‘perfect’ mesh and its distorted version. The proposed metric is based on the measurement of a distance between curvature tensors of the two triangle meshes under comparison. Unlike existing methods, our algorithm uses not only eigenvalues but also eigenvectors of the curvature tensor to derive...

Let $A$ be a Banach algebra and $E$ be a Banach $A$-bimodule then $S = A oplus E$, the $l^1$-direct sum of $A$ and $E$ becomes a module extension Banach algebra when equipped with the algebras product $(a,x).(a^prime,x^prime)= (aa^prime, a.x^prime+ x.a^prime)$. In this paper, we investigate $triangle$-amenability for these Banach algebras and we show that for discrete inverse semigroup $S$ with...