4 papers · 1 filter
An Experimental Mathematics Approach to Several Combinatorial Problems
Yukun Yao
Experimental mathematics is an experimental approach to mathematics in which programming and symbolic computation are used to investigate mathematical objects, identify properties…
Numerical and Symbolic Studies of the Peaceable Queens Problem
Yukun Yao, Doron Zeilberger
We discuss, and make partial progress on, the peaceable queens problem, the protagonist of OEIS sequence A250000. Symbolically, we prove that Jubin's construction of two pentagons…
Untying The Gordian Knot via Experimental Mathematics
Yukun Yao, Doron Zeilberger
In this methodological article on experimental-yet-rigorous enumerative combinatorics, we use two instructive case studies, to show that often, just like Alexander the Great before…
An Experimental Mathematics Approach to the Area Statistic of Parking Functions
Yukun Yao, Doron Zeilberger
We illustrate the experimental, empirical, approach to mathematics (that contrary to popular belief, is often rigorous), by using parking functions and their "area" statistic, as a…