Let m and n be integers, 2 â‰¤ m â‰¤ n. An m by n array consists of mn cells, arranged in m rows and n columns, and each cell contains exactly one symbol. A transversal of an array consists of m cells,â€¦ (More)

2. Cycles and their terminology. Let L be an n Xn Latin square or, alternatively, let Q be a quasigroup of order n. Let M be the set of n2 ordered triplets ijk, where k is the entry in the ith rowâ€¦ (More)

The notion of a transversal of a latin square easily generalizes to more general arrays. We present some of the known combinatorial results in this area and indicate the open questions . They concernâ€¦ (More)

A classical question in convex bodies runs as follows : "If translates of a fixed convex body K in Euclidean space can be packed with a certain density, is it possible to find a lattice packing byâ€¦ (More)

Sherman K. Stein proves that if sin Ï€z = k i=1 sin Ï€ di (bi âˆ’ z) where the bi are integers, the di are positive integers, k is a constant, then {(di : bi)} is an exact cover. It is shown here that ifâ€¦ (More)