D. Fitzpatrick

collaborators

2 papers

math.CO2021

The VC-dimension and point configurations in $F_{q}^{2}$

D. Fitzpatrick, A. Iosevich, B. McDonald +1

Let $X$ be a set and $H$ a collection of functions from $X$ to ${0, 1}$ . We say that $H$ shatters a finite set $C \subset X$ if the restriction of ${\mathcal…

math.CO2020

Distance problems for planar hypercomplex numbers

David FitzPatrick

We study the unit distance and distinct distances problems over the planar hypercomplex numbers: the dual numbers $D$ and the double numbers $S$ . We show that the…

The VC-dimension and point configurations in Fq2​

Distance problems for planar hypercomplex numbers

The VC-dimension and point configurations in $F_{q}^{2}$