On Point Sets in Vector Spaces over Finite Fields That Determine Only Acute Angle Triangles

Details On Point Sets in Vector Spaces over Finite Fields That Determine Only Acute Angle Triangles On Point Sets in Vector Spaces over Finite Fields That Determine Only Acute Angle Triangles

2009-03-14

arxiv.org/abs/0903.2520v1

Mathematics

Number Theory

Scientific paper

For three points $\vec{u}$,$\vec{v}$ and $\vec{w}$ in the $n$-dimensional space $\F_q^n$ over the finite field $\F_q$ of $q$ elements we give a natural interpretation of an acute angle triangle defined by this points. We obtain an upper bound on the size of a set $\cZ$ such that all triples of distinct points $\vec{u}, \vec{v}, \vec{w} \in \cZ$ define acute angle triangles. A similar question in the real space $\cR^n$ dates back to P. Erd{\H o}s and has been studied by several authors.

Affiliated with

Also associated with

No associations

Rating

On Point Sets in Vector Spaces over Finite Fields That Determine Only Acute Angle Triangles does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On Point Sets in Vector Spaces over Finite Fields That Determine Only Acute Angle Triangles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Point Sets in Vector Spaces over Finite Fields That Determine Only Acute Angle Triangles will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-235850