4 papers
A half-automated study of a 2-parameter family of integrals
David G. Zeitoun, Thierry Dana-Picard
The study of some parametric integrals is presented with a combined approach of analytical development, the usage of a Computed Algebra System (CAS) and of the Online Encyclopedia…
Dynamic constructions of hyperbolisms of plane curves: an automated exploration of geometric loci
Thierry Dana-Picard
Hyperbolism of a given curve with respect to a point and a line is an interesting construct, a special kind of geometric locus, not frequent in the literature. While networking bet…
ChatGPT in Linear Algebra: Strides Forward, Steps to Go
Eli Bagno, Thierry Dana-Picard, Shulamit Reches
As soon as a new technology emerges, the education community explores its affordances and the possibilities to apply it in education. In this paper, we analyze sessions with ChatGP…
3D Space Trajectories and beyond: Abstract Art Creation with 3D Printing
Thierry Dana-Picard, Matias Tejera, Eva Ulbrich
We present simple models of trajectories in space, both in 2D and in 3D. The first examples, which model bicircular moves in the same direction, are classical curves (epicycloids,…