Graeco-Latin squares

Let A=(aij) and B=(bij) be two n×n matrices. We define their as the matrix whose (i,j)th entry is the pair (aij,bij).

A Graeco-Latin square is then the join of two Latin squaresMathworldPlanetmath.

The name comes from Euler’s use of Greek and Latin letters to differentiate the entries on each array.

An example of Graeco-Latin square:

Title Graeco-Latin squares
Canonical name GraecoLatinSquares
Date of creation 2013-03-22 12:14:36
Last modified on 2013-03-22 12:14:36
Owner Mathprof (13753)
Last modified by Mathprof (13753)
Numerical id 9
Author Mathprof (13753)
Entry type Definition
Classification msc 05B15
Defines join