Low-dimensional internal categorial structures in weakly Mal'cev sesquicategories

Includes abstract. Includes bibliographical references

The Matlab Vectorization Paradigm

We give two examples of application of a vectorized programming paradigm: binary addition and cycle decomposition of directed graphs

Optimization of toolpath trajectories on arbitrary surfaces

Given an arbitrary region on the plane, modelled as a graph with a symmetry, we describe a procedure to find the best orientation for slicing, via a zigzag tool-path trajectory based curve, in order to minimize its discontinuities. We also develop some directions on how to generalize the procedure up to the level of optimizing tool-path trajectories on arbitrary surfaces rather than planar regions only

Finite orbit decomposition of endomaps

In this work we present a vectorized Matlab algorithm for the decomposition of an endomap into its finite orbits

Curvas geodésicas : um exemplo com resolução analítica

Apresentamos um exemplo de uma superfície não trivial em R3 na qual as curvas geodésicas são encontradas analiticamente