8 citations · 16 across the 5 of their papers we have counts for
5 papers
On independent sets in purely atomic probability spaces with geometric distribution
Eugen J. Ionascu, Alin A. Stancu
We are interested in constructing concrete independent events in purely atomic probability spaces with geometric distribution. Among other facts we prove that there are uncountable…
Introduction to the Prisoners Versus Guards Game
Timothy Howard, Eugen J. Ionascu, David Woolbright
We introduce a two-player game in which one and his/her opponent attempt to pack as many ``prisoners'' as possible on the squares of an n-by-n checkerboard; each prisoner has to be…
A characterization of regular tetrahedra in Z^3
Eugen J. Ionascu
In this note we characterize all regular tetrahedra whose vertices in R^3 have integer coordinates. The main result is a consequence of the characterization of all equilateral tria…
A characterization of all equilateral triangles in \Bbb Z^3
Ray Chandler, Eugen J. Ionascu
This paper is a continuation of previous work of the authors. We extend one of the theorems that gave a way to construct equilateral triangles whose vertices have integer coordinat…
Counting all equilateral triangles in {0,1,2,...,n}^3
Eugen J. Ionascu
We describe a procedure of counting all equilateral triangles in the three dimensional space whose coordinates are allowed only in the set . This sequence is denoted…