The goal of this paper is to understand the topological meaning of Jacobi diagrams in relation to knot theory and finite type knot invariants, otherwise known as Vassiliev invariants. To do so, we will first set up the notions of: the Vassiliev invariant and its respective space, the space of chord diagrams, a weight system on chord diagrams, and Jacobi diagrams and their respective space. Duri...

A translation from activity diagrams to class diagrams, with executable code, is presented. The translation is amenable to be made with or without automating tools. An illustrative application example is also briefly presented: Activity diagrams are used in the modelling and implementation of graphical user interfaces, more precisely in the controller part of the Model-View-Controller pattern.