Abstract: Algebraic function fields (or equivalently, algebraic curves) provide a useful tool for coding theory (for instance, algebraic-geometric codes and trace codes), but also for other branches ...

Goal: The ultimate goal of this project is to develop and implement efficient algorithms for operations involving D-algebraic functions and sequences. While elimination methods based on Gröbner bases ...

I'm trying to generate an optimal trajectory between two points in R2 with a single circular obstacle. I would like to use algebraic constraints with a slack variable for this case, but I'm having a ...

Algebraic function theory in quaternionic spaces extends classical complex analysis into a noncommutative setting, offering a framework for functions of one or more quaternionic variables. Quaternions ...

Abstract: In this note, we discuss a generalization of the well-known implicit function theorem to the time-delay case. We show that the latter problem is closely related to the bicausal changes of ...