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Monthly Archives: March 2015
The Kakeya problem
The original Kakeya needle problem is to find the least amount of area required to continuously rotate a unit line segment in the (Euclidean) plane by a full rotation. Of course in a circle of diameter one we can continuously … Continue reading
Posted in Finite Geometry, Polynomial Method
Tagged combinatorics, finite fields, finite geometry
1 Comment
PointLine Geometries
Some notation: The set will be denoted by . For every set we have the set of all subsets of , also known as the power set, which we will denote by . This notation makes some sense if you … Continue reading
Posted in Combinatorics, Finite Geometry
Tagged combinatorics, finite geometry, generalized quadrangles
2 Comments
My first publication
Today, my supervisor Prof. Bart De Bruyn got the acceptance email from the editor of Annals of Combinatorics for our joint paper “On semifinite hexagons of order containing a subhexagon” which we had submitted in July 2014. Both the referee reports … Continue reading
Two proofs of the SchwartzZippel lemma
The fact that a univariate polynomial over a field of degree has at most zeroes is well known. It follows from the so called Factor theorem, if and only if . But what about a polynomial in variables, , where … Continue reading
Posted in Finite Geometry, Polynomial Method
Tagged combinatorics, finite fields, polynomials
8 Comments